TSTP Solution File: SWB028+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWB028+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 19:21:32 EDT 2022
% Result : Theorem 2.21s 2.42s
% Output : Refutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of clauses : 47 ( 11 unt; 15 nHn; 47 RR)
% Number of literals : 125 ( 0 equ; 68 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 15 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ic(uri_owl_InverseFunctionalProperty),
file('SWB028+2.p',unknown),
[] ).
cnf(2,axiom,
iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,skc21),
file('SWB028+2.p',unknown),
[] ).
cnf(4,axiom,
iext(uri_owl_onProperty,skc21,uri_owl_inverseOf),
file('SWB028+2.p',unknown),
[] ).
cnf(5,axiom,
iext(uri_owl_someValuesFrom,skc21,uri_owl_FunctionalProperty),
file('SWB028+2.p',unknown),
[] ).
cnf(6,axiom,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
file('SWB028+2.p',unknown),
[] ).
cnf(15,axiom,
( ~ iext(uri_owl_equivalentClass,u,v)
| ic(u) ),
file('SWB028+2.p',unknown),
[] ).
cnf(17,axiom,
( ~ iext(uri_owl_inverseOf,u,v)
| ip(u) ),
file('SWB028+2.p',unknown),
[] ).
cnf(22,axiom,
( ~ ip(u)
| icext(uri_owl_InverseFunctionalProperty,u)
| iext(u,skf16(u),skf14(u)) ),
file('SWB028+2.p',unknown),
[] ).
cnf(23,axiom,
( ~ ip(u)
| ~ equal(skf16(u),skf15(u))
| icext(uri_owl_InverseFunctionalProperty,u) ),
file('SWB028+2.p',unknown),
[] ).
cnf(24,axiom,
( ~ ip(u)
| icext(uri_owl_InverseFunctionalProperty,u)
| iext(u,skf15(u),skf14(u)) ),
file('SWB028+2.p',unknown),
[] ).
cnf(26,axiom,
( ~ icext(u,v)
| ~ iext(uri_owl_equivalentClass,u,w)
| icext(w,v) ),
file('SWB028+2.p',unknown),
[] ).
cnf(28,axiom,
( ~ iext(u,v,w)
| ~ iext(uri_owl_inverseOf,u,x)
| iext(x,w,v) ),
file('SWB028+2.p',unknown),
[] ).
cnf(30,axiom,
( ~ ic(u)
| ~ ic(v)
| icext(u,skf17(v,u))
| iext(uri_rdfs_subClassOf,u,v) ),
file('SWB028+2.p',unknown),
[] ).
cnf(31,axiom,
( ~ ic(u)
| ~ ic(v)
| ~ icext(v,skf17(v,w))
| iext(uri_rdfs_subClassOf,u,v) ),
file('SWB028+2.p',unknown),
[] ).
cnf(32,axiom,
( ~ icext(uri_owl_FunctionalProperty,u)
| ~ iext(u,v,w)
| ~ iext(u,v,x)
| equal(x,w) ),
file('SWB028+2.p',unknown),
[] ).
cnf(34,axiom,
( ~ icext(u,v)
| ~ iext(uri_owl_someValuesFrom,u,w)
| ~ iext(uri_owl_onProperty,u,x)
| icext(w,skf19(w,y,z)) ),
file('SWB028+2.p',unknown),
[] ).
cnf(36,axiom,
( ~ icext(u,v)
| ~ iext(uri_owl_someValuesFrom,u,w)
| ~ iext(uri_owl_onProperty,u,x)
| iext(x,v,skf19(w,v,x)) ),
file('SWB028+2.p',unknown),
[] ).
cnf(41,plain,
( ~ ic(uri_owl_InverseFunctionalProperty)
| ~ ic(uri_ex_InversesOfFunctionalProperties)
| ~ icext(uri_owl_InverseFunctionalProperty,skf17(uri_owl_InverseFunctionalProperty,u)) ),
inference(res,[status(thm),theory(equality)],[31,6]),
[iquote('0:Res:31.3,6.0')] ).
cnf(42,plain,
( ~ ic(uri_owl_InverseFunctionalProperty)
| ~ ic(uri_ex_InversesOfFunctionalProperties)
| icext(uri_ex_InversesOfFunctionalProperties,skf17(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)) ),
inference(res,[status(thm),theory(equality)],[30,6]),
[iquote('0:Res:30.3,6.0')] ).
cnf(45,plain,
( ~ ic(uri_ex_InversesOfFunctionalProperties)
| icext(uri_ex_InversesOfFunctionalProperties,skf17(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)) ),
inference(mrr,[status(thm)],[42,1]),
[iquote('0:MRR:42.0,1.0')] ).
cnf(46,plain,
( ~ ic(uri_ex_InversesOfFunctionalProperties)
| ~ icext(uri_owl_InverseFunctionalProperty,skf17(uri_owl_InverseFunctionalProperty,u)) ),
inference(mrr,[status(thm)],[41,1]),
[iquote('0:MRR:41.0,1.0')] ).
cnf(48,plain,
ic(uri_ex_InversesOfFunctionalProperties),
inference(res,[status(thm),theory(equality)],[2,15]),
[iquote('0:Res:2.0,15.0')] ).
cnf(49,plain,
icext(uri_ex_InversesOfFunctionalProperties,skf17(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),
inference(mrr,[status(thm)],[45,48]),
[iquote('0:MRR:45.0,48.0')] ).
cnf(50,plain,
~ icext(uri_owl_InverseFunctionalProperty,skf17(uri_owl_InverseFunctionalProperty,u)),
inference(mrr,[status(thm)],[46,48]),
[iquote('0:MRR:46.0,48.0')] ).
cnf(52,plain,
( ~ ip(skf17(uri_owl_InverseFunctionalProperty,u))
| ~ equal(skf16(skf17(uri_owl_InverseFunctionalProperty,u)),skf15(skf17(uri_owl_InverseFunctionalProperty,u))) ),
inference(res,[status(thm),theory(equality)],[23,50]),
[iquote('0:Res:23.2,50.0')] ).
cnf(82,plain,
( ~ icext(uri_ex_InversesOfFunctionalProperties,u)
| icext(skc21,u) ),
inference(res,[status(thm),theory(equality)],[2,26]),
[iquote('0:Res:2.0,26.1')] ).
cnf(108,plain,
( ~ ip(u)
| ~ iext(uri_owl_inverseOf,u,v)
| icext(uri_owl_InverseFunctionalProperty,u)
| iext(v,skf14(u),skf15(u)) ),
inference(res,[status(thm),theory(equality)],[24,28]),
[iquote('0:Res:24.2,28.0')] ).
cnf(109,plain,
( ~ ip(u)
| ~ iext(uri_owl_inverseOf,u,v)
| icext(uri_owl_InverseFunctionalProperty,u)
| iext(v,skf14(u),skf16(u)) ),
inference(res,[status(thm),theory(equality)],[22,28]),
[iquote('0:Res:22.2,28.0')] ).
cnf(112,plain,
( ~ iext(uri_owl_inverseOf,u,v)
| icext(uri_owl_InverseFunctionalProperty,u)
| iext(v,skf14(u),skf15(u)) ),
inference(mrr,[status(thm)],[108,17]),
[iquote('0:MRR:108.0,17.1')] ).
cnf(113,plain,
( ~ iext(uri_owl_inverseOf,u,v)
| icext(uri_owl_InverseFunctionalProperty,u)
| iext(v,skf14(u),skf16(u)) ),
inference(mrr,[status(thm)],[109,17]),
[iquote('0:MRR:109.0,17.1')] ).
cnf(227,plain,
( ~ icext(skc21,u)
| ~ iext(uri_owl_onProperty,skc21,v)
| icext(uri_owl_FunctionalProperty,skf19(uri_owl_FunctionalProperty,w,x)) ),
inference(res,[status(thm),theory(equality)],[5,34]),
[iquote('0:Res:5.0,34.1')] ).
cnf(301,plain,
( ~ icext(skc21,u)
| ~ iext(uri_owl_onProperty,skc21,v)
| iext(v,u,skf19(uri_owl_FunctionalProperty,u,v)) ),
inference(res,[status(thm),theory(equality)],[5,36]),
[iquote('0:Res:5.0,36.1')] ).
cnf(727,plain,
( ~ iext(uri_owl_inverseOf,u,v)
| ~ icext(uri_owl_FunctionalProperty,v)
| ~ iext(v,skf14(u),w)
| icext(uri_owl_InverseFunctionalProperty,u)
| equal(w,skf15(u)) ),
inference(res,[status(thm),theory(equality)],[112,32]),
[iquote('0:Res:112.2,32.1')] ).
cnf(3589,plain,
( ~ iext(uri_owl_inverseOf,u,v)
| ~ iext(uri_owl_inverseOf,u,v)
| ~ icext(uri_owl_FunctionalProperty,v)
| icext(uri_owl_InverseFunctionalProperty,u)
| icext(uri_owl_InverseFunctionalProperty,u)
| equal(skf16(u),skf15(u)) ),
inference(res,[status(thm),theory(equality)],[113,727]),
[iquote('0:Res:113.2,727.2')] ).
cnf(3594,plain,
( ~ iext(uri_owl_inverseOf,u,v)
| ~ icext(uri_owl_FunctionalProperty,v)
| icext(uri_owl_InverseFunctionalProperty,u)
| equal(skf16(u),skf15(u)) ),
inference(obv,[status(thm),theory(equality)],[3589]),
[iquote('0:Obv:3589.3')] ).
cnf(3915,plain,
( ~ icext(skc21,u)
| icext(uri_owl_FunctionalProperty,skf19(uri_owl_FunctionalProperty,v,w)) ),
inference(res,[status(thm),theory(equality)],[4,227]),
[iquote('0:Res:4.0,227.1')] ).
cnf(3997,plain,
( ~ icext(skc21,u)
| ~ iext(uri_owl_onProperty,skc21,uri_owl_inverseOf)
| ~ icext(uri_owl_FunctionalProperty,skf19(uri_owl_FunctionalProperty,u,uri_owl_inverseOf))
| icext(uri_owl_InverseFunctionalProperty,u)
| equal(skf16(u),skf15(u)) ),
inference(res,[status(thm),theory(equality)],[301,3594]),
[iquote('0:Res:301.2,3594.0')] ).
cnf(4016,plain,
( ~ icext(skc21,u)
| ~ iext(uri_owl_onProperty,skc21,uri_owl_inverseOf)
| ip(u) ),
inference(res,[status(thm),theory(equality)],[301,17]),
[iquote('0:Res:301.2,17.0')] ).
cnf(4088,plain,
( ~ icext(skc21,u)
| ip(u) ),
inference(mrr,[status(thm)],[4016,4]),
[iquote('0:MRR:4016.1,4.0')] ).
cnf(4137,plain,
( ~ icext(uri_ex_InversesOfFunctionalProperties,u)
| ip(u) ),
inference(res,[status(thm),theory(equality)],[82,4088]),
[iquote('0:Res:82.1,4088.0')] ).
cnf(4149,plain,
ip(skf17(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),
inference(res,[status(thm),theory(equality)],[49,4137]),
[iquote('0:Res:49.0,4137.0')] ).
cnf(4316,plain,
( ~ icext(skc21,u)
| ~ icext(uri_owl_FunctionalProperty,skf19(uri_owl_FunctionalProperty,u,uri_owl_inverseOf))
| icext(uri_owl_InverseFunctionalProperty,u)
| equal(skf16(u),skf15(u)) ),
inference(mrr,[status(thm)],[3997,4]),
[iquote('0:MRR:3997.1,4.0')] ).
cnf(4317,plain,
( ~ icext(skc21,u)
| icext(uri_owl_InverseFunctionalProperty,u)
| equal(skf16(u),skf15(u)) ),
inference(mrr,[status(thm)],[4316,3915]),
[iquote('0:MRR:4316.1,3915.1')] ).
cnf(4332,plain,
~ equal(skf16(skf17(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),skf15(skf17(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))),
inference(sor,[status(thm)],[52,4149]),
[iquote('0:SoR:52.0,4149.0')] ).
cnf(6423,plain,
( ~ icext(uri_ex_InversesOfFunctionalProperties,u)
| icext(uri_owl_InverseFunctionalProperty,u)
| equal(skf16(u),skf15(u)) ),
inference(res,[status(thm),theory(equality)],[82,4317]),
[iquote('0:Res:82.1,4317.0')] ).
cnf(6430,plain,
( icext(uri_owl_InverseFunctionalProperty,skf17(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))
| equal(skf16(skf17(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),skf15(skf17(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))) ),
inference(res,[status(thm),theory(equality)],[49,6423]),
[iquote('0:Res:49.0,6423.0')] ).
cnf(6435,plain,
$false,
inference(mrr,[status(thm)],[6430,50,4332]),
[iquote('0:MRR:6430.0,6430.1,50.0,4332.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWB028+2 : TPTP v8.1.0. Released v5.2.0.
% 0.00/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n020.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 03:03:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.21/2.42
% 2.21/2.42 SPASS V 3.9
% 2.21/2.42 SPASS beiseite: Proof found.
% 2.21/2.42 % SZS status Theorem
% 2.21/2.42 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.21/2.42 SPASS derived 5045 clauses, backtracked 1494 clauses, performed 17 splits and kept 4255 clauses.
% 2.21/2.42 SPASS allocated 102914 KBytes.
% 2.21/2.42 SPASS spent 0:00:02.05 on the problem.
% 2.21/2.42 0:00:00.03 for the input.
% 2.21/2.42 0:00:00.08 for the FLOTTER CNF translation.
% 2.21/2.42 0:00:00.08 for inferences.
% 2.21/2.42 0:00:00.06 for the backtracking.
% 2.21/2.42 0:00:01.74 for the reduction.
% 2.21/2.42
% 2.21/2.42
% 2.21/2.42 Here is a proof with depth 6, length 47 :
% 2.21/2.42 % SZS output start Refutation
% See solution above
% 2.21/2.42 Formulae used in the proof : owl_class_inversefunctionalproperty_type testcase_premise_fullish_028_Inferred_Property_Characteristics_III testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III owl_eqdis_equivalentclass owl_inv owl_char_inversefunctional owl_rdfsext_subclassof owl_char_functional owl_restrict_somevaluesfrom
% 2.21/2.42
%------------------------------------------------------------------------------