%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWB031+2 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.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 : Fri Jul 25 04:05:19 PM UTC 2025
% Result : Unsatisfiable 40.28s 5.38s
% Output : CNFRefutation 40.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 19 unt; 0 def)
% Number of atoms : 66 ( 4 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 58 ( 24 ~; 21 |; 7 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 22 ( 2 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(testcase_premise_fullish_031_Large_Universe,plain,
? [BNODE_x,BNODE_l] :
( 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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_031_Large_Universe) ).
cnf(20,plain,
iext(uri_owl_oneOf,sK3,sK4),
inference(cnf,[status(esa)],[testcase_premise_fullish_031_Large_Universe]) ).
cnf(l0,plain,
iext(uri_owl_oneOf,sK3,sK4),
inference(instantiation,[status(thm)],[20]) ).
fof(owl_enum_class_001,plain,
! [Z,S1,A1] :
( ( iext(uri_rdf_first,S1,A1)
& iext(uri_rdf_rest,S1,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,Z,S1)
<=> ( ic(Z)
& ! [X] :
( icext(Z,X)
<=> X = A1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).
cnf(5,plain,
( ~ icext(X0,X1)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X0,X2)
| X1 = X3 ),
inference(cnf,[status(esa)],[owl_enum_class_001]) ).
cnf(l1,plain,
( ~ icext(sK3,sK3)
| ~ iext(uri_rdf_first,sK4,uri_ex_w)
| ~ iext(uri_rdf_rest,sK4,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,sK3,sK4)
| sK3 = uri_ex_w ),
inference(instantiation,[status(thm)],[5]) ).
cnf(22,plain,
iext(uri_rdf_rest,sK4,uri_rdf_nil),
inference(cnf,[status(esa)],[testcase_premise_fullish_031_Large_Universe]) ).
cnf(l3,plain,
iext(uri_rdf_rest,sK4,uri_rdf_nil),
inference(instantiation,[status(thm)],[22]) ).
fof(owl_eqdis_equivalentclass,plain,
! [C1,C2] :
( iext(uri_owl_equivalentClass,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X] :
( icext(C1,X)
<=> icext(C2,X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
cnf(13,plain,
( ~ icext(X0,X1)
| ~ iext(uri_owl_equivalentClass,X0,X2)
| icext(X2,X1) ),
inference(cnf,[status(esa)],[owl_eqdis_equivalentclass]) ).
cnf(l2,plain,
( ~ icext(uri_owl_Thing,sK3)
| ~ iext(uri_owl_equivalentClass,uri_owl_Thing,sK3)
| icext(sK3,sK3) ),
inference(instantiation,[status(thm)],[13]) ).
fof(owl_class_thing_ext,plain,
! [X] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_ext) ).
cnf(2,plain,
( ~ ir(X0)
| icext(uri_owl_Thing,X0) ),
inference(cnf,[status(esa)],[owl_class_thing_ext]) ).
cnf(l4,plain,
( ~ ir(sK3)
| icext(uri_owl_Thing,sK3) ),
inference(instantiation,[status(thm)],[2]) ).
fof(simple_ir,plain,
! [X] : ir(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).
cnf(0,plain,
ir(X0),
inference(cnf,[status(esa)],[simple_ir]) ).
cnf(l21,plain,
ir(sK3),
inference(instantiation,[status(thm)],[0]) ).
cnf(19,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,sK3),
inference(cnf,[status(esa)],[testcase_premise_fullish_031_Large_Universe]) ).
cnf(l52,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,sK3),
inference(instantiation,[status(thm)],[19]) ).
cnf(l524,plain,
( ~ icext(uri_owl_Thing,uri_owl_Nothing)
| ~ iext(uri_owl_equivalentClass,uri_owl_Thing,sK3)
| icext(sK3,uri_owl_Nothing) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l536,plain,
( ~ ir(uri_owl_Nothing)
| icext(uri_owl_Thing,uri_owl_Nothing) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l538,plain,
ir(uri_owl_Nothing),
inference(instantiation,[status(thm)],[0]) ).
cnf(21,plain,
iext(uri_rdf_first,sK4,uri_ex_w),
inference(cnf,[status(esa)],[testcase_premise_fullish_031_Large_Universe]) ).
cnf(l158,plain,
iext(uri_rdf_first,sK4,uri_ex_w),
inference(instantiation,[status(thm)],[21]) ).
cnf(l540,plain,
( ~ icext(uri_ex_w,uri_owl_Nothing)
| ~ iext(uri_rdf_first,sK4,uri_ex_w)
| ~ iext(uri_rdf_rest,sK4,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,uri_ex_w,sK4)
| uri_owl_Nothing = uri_ex_w ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l651,plain,
iext(uri_rdf_rest,sK4,uri_rdf_nil),
inference(instantiation,[status(thm)],[22]) ).
cnf(l539,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,sK3),
inference(instantiation,[status(thm)],[19]) ).
fof(owl_class_nothing_ext,plain,
! [X] : ~ icext(uri_owl_Nothing,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_nothing_ext) ).
cnf(3,plain,
~ icext(uri_owl_Nothing,X0),
inference(cnf,[status(esa)],[owl_class_nothing_ext]) ).
cnf(l670,plain,
~ icext(uri_owl_Nothing,uri_ex_w),
inference(instantiation,[status(thm)],[3]) ).
cnf(l652,plain,
iext(uri_rdf_first,sK4,uri_ex_w),
inference(instantiation,[status(thm)],[21]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l4,l21,l52,l524,l536,l538,l158,l540,l651,l539,l670,l652]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWB031+2 : TPTP v9.0.0. Released v5.2.0.
% 0.10/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 22 04:19:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.19/0.45 % launching worker at depth: 11
% 7.17/1.28 % launching worker at depth: 12
% 40.28/5.38 % SZS status Theorem for theBenchmark
% 40.28/5.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------