TSTP Solution File: SWB017+2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWB017+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 : n029.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 19:13:18 EDT 2022
% Result : Theorem 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 103 ( 60 unt; 11 typ; 0 def)
% Number of atoms : 576 ( 159 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 1258 ( 242 ~; 184 |; 22 &; 806 @)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 9 con; 0-3 aty)
% Number of variables : 230 ( 0 ^ 230 !; 0 ?; 230 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_iext,type,
iext: $i > $i > $i > $o ).
thf(tp_ip,type,
ip: $i > $o ).
thf(tp_sK1_X,type,
sK1_X: $i > $i > $i ).
thf(tp_sK2_SY6,type,
sK2_SY6: $i > $i > $i ).
thf(tp_uri_ex_c,type,
uri_ex_c: $i ).
thf(tp_uri_ex_notInstanceOf,type,
uri_ex_notInstanceOf: $i ).
thf(tp_uri_ex_u,type,
uri_ex_u: $i ).
thf(tp_uri_ex_w,type,
uri_ex_w: $i ).
thf(tp_uri_owl_differentFrom,type,
uri_owl_differentFrom: $i ).
thf(tp_uri_owl_propertyDisjointWith,type,
uri_owl_propertyDisjointWith: $i ).
thf(tp_uri_rdf_type,type,
uri_rdf_type: $i ).
thf(1,axiom,
( ( iext @ uri_owl_propertyDisjointWith @ uri_ex_notInstanceOf @ uri_rdf_type )
& ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c )
& ( iext @ uri_ex_notInstanceOf @ uri_ex_u @ uri_ex_c ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_017_Built_in_Based_Definitions) ).
thf(2,axiom,
! [P1: $i,P2: $i] :
( ( iext @ uri_owl_propertyDisjointWith @ P1 @ P2 )
<=> ( ( ip @ P1 )
& ( ip @ P2 )
& ! [X: $i,Y: $i] :
~ ( ( iext @ P1 @ X @ Y )
& ( iext @ P2 @ X @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).
thf(3,axiom,
! [X: $i,Y: $i] :
( ( iext @ uri_owl_differentFrom @ X @ Y )
<=> ( X != Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).
thf(4,conjecture,
iext @ uri_owl_differentFrom @ uri_ex_w @ uri_ex_u,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_017_Built_in_Based_Definitions) ).
thf(5,negated_conjecture,
( ( iext @ uri_owl_differentFrom @ uri_ex_w @ uri_ex_u )
= $false ),
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,plain,
( ( iext @ uri_owl_differentFrom @ uri_ex_w @ uri_ex_u )
= $false ),
inference(unfold_def,[status(thm)],[5]) ).
thf(7,plain,
( ( ( iext @ uri_owl_propertyDisjointWith @ uri_ex_notInstanceOf @ uri_rdf_type )
& ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c )
& ( iext @ uri_ex_notInstanceOf @ uri_ex_u @ uri_ex_c ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(8,plain,
( ( ! [P1: $i,P2: $i] :
( ( iext @ uri_owl_propertyDisjointWith @ P1 @ P2 )
<=> ( ( ip @ P1 )
& ( ip @ P2 )
& ! [X: $i,Y: $i] :
~ ( ( iext @ P1 @ X @ Y )
& ( iext @ P2 @ X @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(9,plain,
( ( ! [X: $i,Y: $i] :
( ( iext @ uri_owl_differentFrom @ X @ Y )
<=> ( X != Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(10,plain,
( ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w @ uri_ex_u ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(11,plain,
( ( ! [P1: $i,P2: $i] :
( ( ( iext @ P1 @ ( sK1_X @ P2 @ P1 ) @ ( sK2_SY6 @ P2 @ P1 ) )
& ( iext @ P2 @ ( sK1_X @ P2 @ P1 ) @ ( sK2_SY6 @ P2 @ P1 ) ) )
| ~ ( ip @ P1 )
| ~ ( ip @ P2 )
| ( iext @ uri_owl_propertyDisjointWith @ P1 @ P2 ) )
& ! [P1: $i,P2: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ P1 @ P2 )
| ! [X: $i,Y: $i] :
( ~ ( iext @ P1 @ X @ Y )
| ~ ( iext @ P2 @ X @ Y ) ) )
& ! [P1: $i] :
( ! [P2: $i] :
~ ( iext @ uri_owl_propertyDisjointWith @ P1 @ P2 )
| ( ip @ P1 ) )
& ! [P1: $i,P2: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ P1 @ P2 )
| ( ip @ P2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(12,plain,
( ( ! [X: $i,Y: $i] :
( ( X = Y )
| ( iext @ uri_owl_differentFrom @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_differentFrom @ X @ Y )
| ( X != Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(13,plain,
( ( ! [X: $i,Y: $i] :
( ( X = Y )
| ( iext @ uri_owl_differentFrom @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_differentFrom @ X @ Y )
| ( X != Y ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [P1: $i,P2: $i] :
( ( ( iext @ P1 @ ( sK1_X @ P2 @ P1 ) @ ( sK2_SY6 @ P2 @ P1 ) )
& ( iext @ P2 @ ( sK1_X @ P2 @ P1 ) @ ( sK2_SY6 @ P2 @ P1 ) ) )
| ~ ( ip @ P1 )
| ~ ( ip @ P2 )
| ( iext @ uri_owl_propertyDisjointWith @ P1 @ P2 ) )
& ! [P1: $i,P2: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ P1 @ P2 )
| ! [X: $i,Y: $i] :
( ~ ( iext @ P1 @ X @ Y )
| ~ ( iext @ P2 @ X @ Y ) ) )
& ! [P1: $i] :
( ! [P2: $i] :
~ ( iext @ uri_owl_propertyDisjointWith @ P1 @ P2 )
| ( ip @ P1 ) )
& ! [P1: $i,P2: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ P1 @ P2 )
| ( ip @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(15,plain,
( ( ( iext @ uri_owl_propertyDisjointWith @ uri_ex_notInstanceOf @ uri_rdf_type )
& ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c )
& ( iext @ uri_ex_notInstanceOf @ uri_ex_u @ uri_ex_c ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(16,plain,
( ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w @ uri_ex_u ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(17,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( iext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) @ ( sK2_SY6 @ SX1 @ SX0 ) )
| ~ ( iext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) @ ( sK2_SY6 @ SX1 @ SX0 ) ) )
| ~ ( ip @ SX0 )
| ~ ( ip @ SX1 )
| ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ~ ( iext @ SX1 @ SX2 @ SX3 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(18,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( iext @ uri_owl_differentFrom @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_differentFrom @ SX0 @ SX1 )
| ( SX0 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(19,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_owl_propertyDisjointWith @ uri_ex_notInstanceOf @ uri_rdf_type )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c ) )
| ~ ( iext @ uri_ex_notInstanceOf @ uri_ex_u @ uri_ex_c ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(20,plain,
( ( iext @ uri_owl_differentFrom @ uri_ex_w @ uri_ex_u )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(21,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( iext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) @ ( sK2_SY6 @ SX1 @ SX0 ) )
| ~ ( iext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) @ ( sK2_SY6 @ SX1 @ SX0 ) ) )
| ~ ( ip @ SX0 )
| ~ ( ip @ SX1 )
| ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ~ ( iext @ SX1 @ SX2 @ SX3 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(22,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( iext @ uri_owl_differentFrom @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_differentFrom @ SX0 @ SX1 )
| ( SX0 != SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(23,plain,
( ( ~ ~ ( ~ ( iext @ uri_owl_propertyDisjointWith @ uri_ex_notInstanceOf @ uri_rdf_type )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c ) )
| ~ ( iext @ uri_ex_notInstanceOf @ uri_ex_u @ uri_ex_c ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(24,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( iext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) @ ( sK2_SY6 @ SX1 @ SX0 ) )
| ~ ( iext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) @ ( sK2_SY6 @ SX1 @ SX0 ) ) )
| ~ ( ip @ SX0 )
| ~ ( ip @ SX1 )
| ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ~ ( iext @ SX1 @ SX2 @ SX3 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(26,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( iext @ uri_owl_differentFrom @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(27,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_differentFrom @ SX0 @ SX1 )
| ( SX0 != SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(28,plain,
( ( ~ ~ ( ~ ( iext @ uri_owl_propertyDisjointWith @ uri_ex_notInstanceOf @ uri_rdf_type )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(29,plain,
( ( ~ ( iext @ uri_ex_notInstanceOf @ uri_ex_u @ uri_ex_c ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(30,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( iext @ SX0 @ ( sK1_X @ SX1 @ SX0 ) @ ( sK2_SY6 @ SX1 @ SX0 ) )
| ~ ( iext @ SX1 @ ( sK1_X @ SX1 @ SX0 ) @ ( sK2_SY6 @ SX1 @ SX0 ) ) )
| ~ ( ip @ SX0 )
| ~ ( ip @ SX1 )
| ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(31,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ~ ( iext @ SX1 @ SX2 @ SX3 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(32,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( iext @ uri_owl_differentFrom @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(33,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_differentFrom @ SX0 @ SX1 )
| ( SX0 != SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(34,plain,
( ( ~ ( ~ ( iext @ uri_owl_propertyDisjointWith @ uri_ex_notInstanceOf @ uri_rdf_type )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(35,plain,
( ( iext @ uri_ex_notInstanceOf @ uri_ex_u @ uri_ex_c )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(36,plain,
! [SV1: $i] :
( ( ! [SY7: $i] :
( ~ ( ~ ( iext @ SV1 @ ( sK1_X @ SY7 @ SV1 ) @ ( sK2_SY6 @ SY7 @ SV1 ) )
| ~ ( iext @ SY7 @ ( sK1_X @ SY7 @ SV1 ) @ ( sK2_SY6 @ SY7 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SY7 )
| ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SY7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(37,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ~ ( iext @ SX1 @ SX2 @ SX3 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(38,plain,
! [SV2: $i] :
( ( ! [SY8: $i] :
( ( SV2 = SY8 )
| ( iext @ uri_owl_differentFrom @ SV2 @ SY8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(39,plain,
! [SV3: $i] :
( ( ! [SY9: $i] :
( ~ ( iext @ uri_owl_differentFrom @ SV3 @ SY9 )
| ( SV3 != SY9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(40,plain,
( ( ~ ( iext @ uri_owl_propertyDisjointWith @ uri_ex_notInstanceOf @ uri_rdf_type )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(41,plain,
! [SV4: $i,SV1: $i] :
( ( ~ ( ~ ( iext @ SV1 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
| ~ ( iext @ SV4 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV4 )
| ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(42,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ~ ( iext @ SX1 @ SX2 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(43,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(44,plain,
! [SV5: $i,SV2: $i] :
( ( ( SV2 = SV5 )
| ( iext @ uri_owl_differentFrom @ SV2 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(45,plain,
! [SV6: $i,SV3: $i] :
( ( ~ ( iext @ uri_owl_differentFrom @ SV3 @ SV6 )
| ( SV3 != SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(46,plain,
( ( ~ ( iext @ uri_owl_propertyDisjointWith @ uri_ex_notInstanceOf @ uri_rdf_type ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(47,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(48,plain,
! [SV4: $i,SV1: $i] :
( ( ( ~ ( ~ ( iext @ SV1 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
| ~ ( iext @ SV4 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) ) )
| ~ ( ip @ SV1 )
| ~ ( ip @ SV4 ) )
= $true )
| ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(49,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ~ ( iext @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(50,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(51,plain,
! [SV5: $i,SV2: $i] :
( ( ( SV2 = SV5 )
= $true )
| ( ( iext @ uri_owl_differentFrom @ SV2 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(52,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_owl_differentFrom @ SV3 @ SV6 ) )
= $true )
| ( ( ( SV3 != SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(53,plain,
( ( iext @ uri_owl_propertyDisjointWith @ uri_ex_notInstanceOf @ uri_rdf_type )
= $true ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(54,plain,
( ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c )
= $true ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(55,plain,
! [SV4: $i,SV1: $i] :
( ( ( ~ ( ~ ( iext @ SV1 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
| ~ ( iext @ SV4 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV4 ) )
= $true )
| ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(56,plain,
! [SV7: $i] :
( ( ! [SY10: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ SV7 @ SY10 )
| ! [SY11: $i,SY12: $i] :
( ~ ( iext @ SV7 @ SY11 @ SY12 )
| ~ ( iext @ SY10 @ SY11 @ SY12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(57,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ( ip @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(58,plain,
! [SV6: $i,SV3: $i] :
( ( ( iext @ uri_owl_differentFrom @ SV3 @ SV6 )
= $false )
| ( ( ( SV3 != SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(59,plain,
! [SV4: $i,SV1: $i] :
( ( ( ~ ( iext @ SV1 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
| ~ ( iext @ SV4 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) ) )
= $false )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV4 ) )
= $true )
| ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(60,plain,
! [SV8: $i,SV7: $i] :
( ( ~ ( iext @ uri_owl_propertyDisjointWith @ SV7 @ SV8 )
| ! [SY13: $i,SY14: $i] :
( ~ ( iext @ SV7 @ SY13 @ SY14 )
| ~ ( iext @ SV8 @ SY13 @ SY14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(61,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ( ip @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(62,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ( ip @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(63,plain,
! [SV6: $i,SV3: $i] :
( ( ( SV3 = SV6 )
= $false )
| ( ( iext @ uri_owl_differentFrom @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(64,plain,
! [SV4: $i,SV1: $i] :
( ( ( ~ ( iext @ SV1 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) ) )
= $false )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV4 ) )
= $true )
| ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(65,plain,
! [SV1: $i,SV4: $i] :
( ( ( ~ ( iext @ SV4 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) ) )
= $false )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV4 ) )
= $true )
| ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(66,plain,
! [SV8: $i,SV7: $i] :
( ( ( ~ ( iext @ uri_owl_propertyDisjointWith @ SV7 @ SV8 ) )
= $true )
| ( ( ! [SY13: $i,SY14: $i] :
( ~ ( iext @ SV7 @ SY13 @ SY14 )
| ~ ( iext @ SV8 @ SY13 @ SY14 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(67,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ( ip @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(68,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ SX0 @ SX1 )
| ( ip @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(69,plain,
! [SV4: $i,SV1: $i] :
( ( ( iext @ SV1 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
= $true )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV4 ) )
= $true )
| ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(70,plain,
! [SV1: $i,SV4: $i] :
( ( ( iext @ SV4 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
= $true )
| ( ( ~ ( ip @ SV1 )
| ~ ( ip @ SV4 ) )
= $true )
| ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(71,plain,
! [SV8: $i,SV7: $i] :
( ( ( iext @ uri_owl_propertyDisjointWith @ SV7 @ SV8 )
= $false )
| ( ( ! [SY13: $i,SY14: $i] :
( ~ ( iext @ SV7 @ SY13 @ SY14 )
| ~ ( iext @ SV8 @ SY13 @ SY14 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(72,plain,
! [SV9: $i] :
( ( ! [SY15: $i] :
~ ( iext @ uri_owl_propertyDisjointWith @ SV9 @ SY15 )
| ( ip @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(73,plain,
! [SV10: $i] :
( ( ! [SY16: $i] :
( ~ ( iext @ uri_owl_propertyDisjointWith @ SV10 @ SY16 )
| ( ip @ SY16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(74,plain,
! [SV4: $i,SV1: $i] :
( ( ( ~ ( ip @ SV1 ) )
= $true )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( iext @ SV1 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(75,plain,
! [SV4: $i,SV1: $i] :
( ( ( ~ ( ip @ SV1 ) )
= $true )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( iext @ SV4 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(76,plain,
! [SV8: $i,SV11: $i,SV7: $i] :
( ( ( ! [SY17: $i] :
( ~ ( iext @ SV7 @ SV11 @ SY17 )
| ~ ( iext @ SV8 @ SV11 @ SY17 ) ) )
= $true )
| ( ( iext @ uri_owl_propertyDisjointWith @ SV7 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(77,plain,
! [SV9: $i] :
( ( ( ! [SY15: $i] :
~ ( iext @ uri_owl_propertyDisjointWith @ SV9 @ SY15 ) )
= $true )
| ( ( ip @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(78,plain,
! [SV12: $i,SV10: $i] :
( ( ~ ( iext @ uri_owl_propertyDisjointWith @ SV10 @ SV12 )
| ( ip @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(79,plain,
! [SV4: $i,SV1: $i] :
( ( ( ip @ SV1 )
= $false )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( iext @ SV1 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(80,plain,
! [SV4: $i,SV1: $i] :
( ( ( ip @ SV1 )
= $false )
| ( ( ~ ( ip @ SV4 ) )
= $true )
| ( ( iext @ SV4 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(81,plain,
! [SV8: $i,SV13: $i,SV11: $i,SV7: $i] :
( ( ( ~ ( iext @ SV7 @ SV11 @ SV13 )
| ~ ( iext @ SV8 @ SV11 @ SV13 ) )
= $true )
| ( ( iext @ uri_owl_propertyDisjointWith @ SV7 @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(82,plain,
! [SV14: $i,SV9: $i] :
( ( ( ~ ( iext @ uri_owl_propertyDisjointWith @ SV9 @ SV14 ) )
= $true )
| ( ( ip @ SV9 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(83,plain,
! [SV12: $i,SV10: $i] :
( ( ( ~ ( iext @ uri_owl_propertyDisjointWith @ SV10 @ SV12 ) )
= $true )
| ( ( ip @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(84,plain,
! [SV1: $i,SV4: $i] :
( ( ( ip @ SV4 )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( iext @ SV1 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(85,plain,
! [SV1: $i,SV4: $i] :
( ( ( ip @ SV4 )
= $false )
| ( ( ip @ SV1 )
= $false )
| ( ( iext @ SV4 @ ( sK1_X @ SV4 @ SV1 ) @ ( sK2_SY6 @ SV4 @ SV1 ) )
= $true )
| ( ( iext @ uri_owl_propertyDisjointWith @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(86,plain,
! [SV8: $i,SV13: $i,SV11: $i,SV7: $i] :
( ( ( ~ ( iext @ SV7 @ SV11 @ SV13 ) )
= $true )
| ( ( ~ ( iext @ SV8 @ SV11 @ SV13 ) )
= $true )
| ( ( iext @ uri_owl_propertyDisjointWith @ SV7 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(87,plain,
! [SV14: $i,SV9: $i] :
( ( ( iext @ uri_owl_propertyDisjointWith @ SV9 @ SV14 )
= $false )
| ( ( ip @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(88,plain,
! [SV12: $i,SV10: $i] :
( ( ( iext @ uri_owl_propertyDisjointWith @ SV10 @ SV12 )
= $false )
| ( ( ip @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(89,plain,
! [SV8: $i,SV13: $i,SV11: $i,SV7: $i] :
( ( ( iext @ SV7 @ SV11 @ SV13 )
= $false )
| ( ( ~ ( iext @ SV8 @ SV11 @ SV13 ) )
= $true )
| ( ( iext @ uri_owl_propertyDisjointWith @ SV7 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(90,plain,
! [SV7: $i,SV13: $i,SV11: $i,SV8: $i] :
( ( ( iext @ SV8 @ SV11 @ SV13 )
= $false )
| ( ( iext @ SV7 @ SV11 @ SV13 )
= $false )
| ( ( iext @ uri_owl_propertyDisjointWith @ SV7 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(91,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[20,90,88,87,85,84,63,54,53,51,35]) ).
thf(92,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB017+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 1 11:30:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 3
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.35 (rf:0,axioms:3,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:5,loop_count:0,foatp_calls:0,translation:fof_full)......
% 0.19/0.41
% 0.19/0.41 ********************************
% 0.19/0.41 * All subproblems solved! *
% 0.19/0.41 ********************************
% 0.19/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,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:91,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.41
% 0.19/0.41 %**** Beginning of derivation protocol ****
% 0.19/0.41 % SZS output start CNFRefutation
% See solution above
% 0.19/0.41
% 0.19/0.41 %**** End of derivation protocol ****
% 0.19/0.41 %**** no. of clauses in derivation: 92 ****
% 0.19/0.41 %**** clause counter: 91 ****
% 0.19/0.41
% 0.19/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,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:91,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------