TSTP Solution File: SWB013+2 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SWB013+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n021.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 19:02:26 EDT 2022
% Result : Theorem 0.14s 0.57s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWB013+2 : TPTP v8.1.0. Released v5.2.0.
% 0.00/0.09 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.09/0.29 % Computer : n021.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Wed Jun 1 11:20:15 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.14/0.32 # No SInE strategy applied
% 0.14/0.32 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.32 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.14/0.32 #
% 0.14/0.32 # Presaturation interreduction done
% 0.14/0.32 # Number of axioms: 52 Number of unprocessed: 52
% 0.14/0.32 # Tableaux proof search.
% 0.14/0.32 # APR header successfully linked.
% 0.14/0.32 # Hello from C++
% 0.14/0.35 # The folding up rule is enabled...
% 0.14/0.35 # Local unification is enabled...
% 0.14/0.35 # Any saturation attempts will use folding labels...
% 0.14/0.35 # 52 beginning clauses after preprocessing and clausification
% 0.14/0.35 # Creating start rules for all 1 conjectures.
% 0.14/0.35 # There are 1 start rule candidates:
% 0.14/0.35 # Found 21 unit axioms.
% 0.14/0.35 # 1 start rule tableaux created.
% 0.14/0.35 # 31 extension rule candidate clauses
% 0.14/0.35 # 21 unit axiom clauses
% 0.14/0.35
% 0.14/0.35 # Requested 8, 32 cores available to the main process.
% 0.14/0.35 # There are not enough tableaux to fork, creating more from the initial 1
% 0.14/0.57 # There were 16 total branch saturation attempts.
% 0.14/0.57 # There were 0 of these attempts blocked.
% 0.14/0.57 # There were 0 deferred branch saturation attempts.
% 0.14/0.57 # There were 9 free duplicated saturations.
% 0.14/0.57 # There were 16 total successful branch saturations.
% 0.14/0.57 # There were 0 successful branch saturations in interreduction.
% 0.14/0.57 # There were 0 successful branch saturations on the branch.
% 0.14/0.57 # There were 7 successful branch saturations after the branch.
% 0.14/0.57 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.57 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.57 # Begin clausification derivation
% 0.14/0.57
% 0.14/0.57 # End clausification derivation
% 0.14/0.57 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.14/0.57 cnf(i_0_45, plain, (iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty))).
% 0.14/0.57 cnf(i_0_35, plain, (iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang))).
% 0.14/0.57 cnf(i_0_34, plain, (iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang))).
% 0.14/0.57 cnf(i_0_44, plain, (iext(uri_owl_propertyChainAxiom,uri_foaf_knows,esk13_0))).
% 0.14/0.57 cnf(i_0_52, plain, (iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class))).
% 0.14/0.57 cnf(i_0_36, plain, (iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique))).
% 0.14/0.57 cnf(i_0_48, plain, (iext(uri_rdf_type,esk11_0,uri_owl_Restriction))).
% 0.14/0.57 cnf(i_0_46, plain, (iext(uri_owl_someValuesFrom,esk11_0,uri_ex_Clique))).
% 0.14/0.57 cnf(i_0_47, plain, (iext(uri_owl_onProperty,esk11_0,uri_ex_sameCliqueAs))).
% 0.14/0.57 cnf(i_0_49, plain, (iext(uri_rdfs_subClassOf,uri_ex_Clique,esk11_0))).
% 0.14/0.57 cnf(i_0_51, plain, (iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs))).
% 0.14/0.57 cnf(i_0_43, plain, (iext(uri_rdf_first,esk13_0,uri_rdf_type))).
% 0.14/0.57 cnf(i_0_41, plain, (iext(uri_rdf_first,esk14_0,uri_ex_sameCliqueAs))).
% 0.14/0.57 cnf(i_0_39, plain, (iext(uri_rdf_first,esk15_0,esk12_0))).
% 0.14/0.57 cnf(i_0_42, plain, (iext(uri_rdf_rest,esk13_0,esk14_0))).
% 0.14/0.57 cnf(i_0_40, plain, (iext(uri_rdf_rest,esk14_0,esk15_0))).
% 0.14/0.57 cnf(i_0_38, plain, (iext(uri_rdf_rest,esk15_0,uri_rdf_nil))).
% 0.14/0.57 cnf(i_0_37, plain, (iext(uri_owl_inverseOf,esk12_0,uri_rdf_type))).
% 0.14/0.57 cnf(i_0_50, plain, (iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique))).
% 0.14/0.57 cnf(i_0_16, plain, (iext(uri_owl_sameAs,X1,X1))).
% 0.14/0.57 cnf(i_0_33, negated_conjecture, (~iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob))).
% 0.14/0.57 cnf(i_0_14, plain, (ip(X1)|~iext(uri_rdfs_subPropertyOf,X2,X1))).
% 0.14/0.57 cnf(i_0_15, plain, (ip(X1)|~iext(uri_rdfs_subPropertyOf,X1,X2))).
% 0.14/0.57 cnf(i_0_31, plain, (ip(X1)|~iext(uri_owl_inverseOf,X2,X1))).
% 0.14/0.57 cnf(i_0_32, plain, (ip(X1)|~iext(uri_owl_inverseOf,X1,X2))).
% 0.14/0.57 cnf(i_0_17, plain, (X1=X2|~iext(uri_owl_sameAs,X1,X2))).
% 0.14/0.57 cnf(i_0_9, plain, (ic(X1)|~iext(uri_rdfs_subClassOf,X2,X1))).
% 0.14/0.57 cnf(i_0_10, plain, (ic(X1)|~iext(uri_rdfs_subClassOf,X1,X2))).
% 0.14/0.57 cnf(i_0_1, plain, (iext(uri_rdf_type,X1,X2)|~icext(X2,X1))).
% 0.14/0.57 cnf(i_0_2, plain, (icext(X1,X2)|~iext(uri_rdf_type,X2,X1))).
% 0.14/0.57 cnf(i_0_8, plain, (icext(X1,X2)|~icext(X3,X2)|~iext(uri_rdfs_subClassOf,X3,X1))).
% 0.14/0.57 cnf(i_0_6, plain, (iext(uri_rdfs_subClassOf,X1,X2)|~ic(X1)|~ic(X2)|~icext(X2,esk2_2(X1,X2)))).
% 0.14/0.57 cnf(i_0_7, plain, (icext(X1,esk2_2(X1,X2))|iext(uri_rdfs_subClassOf,X1,X2)|~ic(X2)|~ic(X1))).
% 0.14/0.57 cnf(i_0_29, plain, (iext(X1,X2,X3)|~iext(uri_owl_inverseOf,X1,X4)|~iext(X4,X3,X2))).
% 0.14/0.57 cnf(i_0_30, plain, (iext(X1,X2,X3)|~iext(uri_owl_inverseOf,X4,X1)|~iext(X4,X3,X2))).
% 0.14/0.57 cnf(i_0_13, plain, (iext(X1,X2,X3)|~iext(uri_rdfs_subPropertyOf,X4,X1)|~iext(X4,X2,X3))).
% 0.14/0.57 cnf(i_0_11, plain, (iext(uri_rdfs_subPropertyOf,X1,X2)|~ip(X1)|~ip(X2)|~iext(X2,esk3_2(X1,X2),esk4_2(X1,X2)))).
% 0.14/0.57 cnf(i_0_12, plain, (iext(X1,esk3_2(X1,X2),esk4_2(X1,X2))|iext(uri_rdfs_subPropertyOf,X1,X2)|~ip(X2)|~ip(X1))).
% 0.14/0.57 cnf(i_0_4, plain, (icext(X1,esk1_4(X2,X3,X1,X4))|~icext(X2,X4)|~iext(uri_owl_someValuesFrom,X2,X1)|~iext(uri_owl_onProperty,X2,X3))).
% 0.14/0.57 cnf(i_0_3, plain, (icext(X1,X2)|~icext(X3,X4)|~iext(uri_owl_someValuesFrom,X1,X3)|~iext(uri_owl_onProperty,X1,X5)|~iext(X5,X2,X4))).
% 0.14/0.57 cnf(i_0_5, plain, (iext(X1,X2,esk1_4(X3,X1,X4,X2))|~icext(X3,X2)|~iext(uri_owl_someValuesFrom,X3,X4)|~iext(uri_owl_onProperty,X3,X1))).
% 0.14/0.57 cnf(i_0_28, plain, (iext(uri_owl_inverseOf,X1,X2)|~ip(X2)|~ip(X1)|~iext(X2,esk10_2(X1,X2),esk9_2(X1,X2))|~iext(X1,esk9_2(X1,X2),esk10_2(X1,X2)))).
% 0.14/0.57 cnf(i_0_23, plain, (ip(X1)|~iext(uri_rdf_rest,X2,uri_rdf_nil)|~iext(uri_rdf_first,X2,X1)|~iext(uri_rdf_first,X3,X4)|~iext(uri_rdf_first,X5,X6)|~iext(uri_rdf_rest,X3,X2)|~iext(uri_rdf_rest,X5,X3)|~iext(uri_owl_propertyChainAxiom,X7,X5))).
% 0.14/0.57 cnf(i_0_27, plain, (iext(X1,esk9_2(X1,X2),esk10_2(X1,X2))|iext(X2,esk10_2(X1,X2),esk9_2(X1,X2))|iext(uri_owl_inverseOf,X1,X2)|~ip(X2)|~ip(X1))).
% 0.14/0.57 cnf(i_0_24, plain, (ip(X1)|~iext(uri_rdf_rest,X2,uri_rdf_nil)|~iext(uri_rdf_first,X2,X3)|~iext(uri_rdf_first,X4,X1)|~iext(uri_rdf_first,X5,X6)|~iext(uri_rdf_rest,X4,X2)|~iext(uri_rdf_rest,X5,X4)|~iext(uri_owl_propertyChainAxiom,X7,X5))).
% 0.14/0.57 cnf(i_0_25, plain, (ip(X1)|~iext(uri_rdf_rest,X2,uri_rdf_nil)|~iext(uri_rdf_first,X2,X3)|~iext(uri_rdf_first,X4,X5)|~iext(uri_rdf_first,X6,X1)|~iext(uri_rdf_rest,X4,X2)|~iext(uri_rdf_rest,X6,X4)|~iext(uri_owl_propertyChainAxiom,X7,X6))).
% 0.14/0.57 cnf(i_0_26, plain, (ip(X1)|~iext(uri_rdf_rest,X2,uri_rdf_nil)|~iext(uri_rdf_first,X2,X3)|~iext(uri_rdf_first,X4,X5)|~iext(uri_rdf_first,X6,X7)|~iext(uri_rdf_rest,X4,X2)|~iext(uri_rdf_rest,X6,X4)|~iext(uri_owl_propertyChainAxiom,X1,X6))).
% 0.14/0.57 cnf(i_0_22, plain, (iext(X1,X2,X3)|~iext(uri_rdf_rest,X4,uri_rdf_nil)|~iext(uri_rdf_first,X4,X5)|~iext(uri_rdf_first,X6,X7)|~iext(uri_rdf_first,X8,X9)|~iext(uri_rdf_rest,X6,X4)|~iext(uri_rdf_rest,X8,X6)|~iext(uri_owl_propertyChainAxiom,X1,X8)|~iext(X5,X10,X3)|~iext(X7,X11,X10)|~iext(X9,X2,X11))).
% 0.14/0.57 cnf(i_0_21, plain, (iext(X1,esk5_7(X2,X3,X1,X4,X5,X6,X7),esk6_7(X2,X3,X1,X4,X5,X6,X7))|iext(uri_owl_propertyChainAxiom,X2,X3)|~ip(X7)|~ip(X5)|~ip(X2)|~ip(X1)|~iext(uri_rdf_rest,X6,uri_rdf_nil)|~iext(uri_rdf_first,X6,X7)|~iext(uri_rdf_first,X4,X5)|~iext(uri_rdf_first,X3,X1)|~iext(uri_rdf_rest,X4,X6)|~iext(uri_rdf_rest,X3,X4))).
% 0.14/0.57 cnf(i_0_20, plain, (iext(X1,esk6_7(X2,X3,X4,X5,X1,X6,X7),esk7_7(X2,X3,X4,X5,X1,X6,X7))|iext(uri_owl_propertyChainAxiom,X2,X3)|~ip(X7)|~ip(X4)|~ip(X2)|~ip(X1)|~iext(uri_rdf_rest,X6,uri_rdf_nil)|~iext(uri_rdf_first,X6,X7)|~iext(uri_rdf_first,X5,X1)|~iext(uri_rdf_first,X3,X4)|~iext(uri_rdf_rest,X5,X6)|~iext(uri_rdf_rest,X3,X5))).
% 0.14/0.57 cnf(i_0_18, plain, (iext(uri_owl_propertyChainAxiom,X1,X2)|~ip(X3)|~ip(X4)|~ip(X5)|~ip(X1)|~iext(X1,esk5_7(X1,X2,X5,X6,X4,X7,X3),esk8_7(X1,X2,X5,X6,X4,X7,X3))|~iext(uri_rdf_rest,X7,uri_rdf_nil)|~iext(uri_rdf_first,X7,X3)|~iext(uri_rdf_first,X6,X4)|~iext(uri_rdf_first,X2,X5)|~iext(uri_rdf_rest,X6,X7)|~iext(uri_rdf_rest,X2,X6))).
% 0.14/0.57 cnf(i_0_19, plain, (iext(X1,esk7_7(X2,X3,X4,X5,X6,X7,X1),esk8_7(X2,X3,X4,X5,X6,X7,X1))|iext(uri_owl_propertyChainAxiom,X2,X3)|~ip(X6)|~ip(X4)|~ip(X2)|~ip(X1)|~iext(uri_rdf_rest,X7,uri_rdf_nil)|~iext(uri_rdf_first,X7,X1)|~iext(uri_rdf_first,X5,X6)|~iext(uri_rdf_first,X3,X4)|~iext(uri_rdf_rest,X5,X7)|~iext(uri_rdf_rest,X3,X5))).
% 0.14/0.57 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.14/0.57 # Begin printing tableau
% 0.14/0.57 # Found 22 steps
% 0.14/0.57 cnf(i_0_33, negated_conjecture, (~iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)), inference(start_rule)).
% 0.14/0.57 cnf(i_0_54, plain, (~iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)), inference(extension_rule, [i_0_22])).
% 0.14/0.57 cnf(i_0_157, plain, (~iext(uri_rdf_rest,esk15_0,uri_rdf_nil)), inference(closure_rule, [i_0_38])).
% 0.14/0.57 cnf(i_0_158, plain, (~iext(uri_rdf_first,esk15_0,esk12_0)), inference(closure_rule, [i_0_39])).
% 0.14/0.57 cnf(i_0_159, plain, (~iext(uri_rdf_first,esk13_0,uri_rdf_type)), inference(closure_rule, [i_0_43])).
% 0.14/0.57 cnf(i_0_160, plain, (~iext(uri_rdf_first,esk13_0,uri_rdf_type)), inference(closure_rule, [i_0_43])).
% 0.14/0.57 cnf(i_0_163, plain, (~iext(uri_owl_propertyChainAxiom,uri_foaf_knows,esk13_0)), inference(closure_rule, [i_0_44])).
% 0.14/0.57 cnf(i_0_165, plain, (~iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)), inference(closure_rule, [i_0_45])).
% 0.14/0.57 cnf(i_0_161, plain, (~iext(uri_rdf_rest,esk13_0,esk15_0)), inference(extension_rule, [i_0_22])).
% 0.14/0.57 cnf(i_0_1891, plain, (~iext(uri_rdf_rest,esk15_0,uri_rdf_nil)), inference(closure_rule, [i_0_38])).
% 0.14/0.57 cnf(i_0_1892, plain, (~iext(uri_rdf_first,esk15_0,esk12_0)), inference(closure_rule, [i_0_39])).
% 0.14/0.57 cnf(i_0_1894, plain, (~iext(uri_rdf_first,esk13_0,uri_rdf_type)), inference(closure_rule, [i_0_43])).
% 0.14/0.57 cnf(i_0_1895, plain, (~iext(uri_rdf_rest,esk14_0,esk15_0)), inference(closure_rule, [i_0_40])).
% 0.14/0.57 cnf(i_0_1896, plain, (~iext(uri_rdf_rest,esk13_0,esk14_0)), inference(closure_rule, [i_0_42])).
% 0.14/0.57 cnf(i_0_1899, plain, (~iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)), inference(closure_rule, [i_0_45])).
% 0.14/0.57 cnf(i_0_162, plain, (~iext(uri_rdf_rest,esk13_0,esk13_0)), inference(etableau_closure_rule, [i_0_162, ...])).
% 0.14/0.57 cnf(i_0_164, plain, (~iext(esk12_0,uri_owl_ObjectProperty,uri_ex_bob)), inference(etableau_closure_rule, [i_0_164, ...])).
% 0.14/0.57 cnf(i_0_166, plain, (~iext(uri_rdf_type,uri_ex_alice,uri_foaf_knows)), inference(etableau_closure_rule, [i_0_166, ...])).
% 0.14/0.57 cnf(i_0_1897, plain, (~iext(uri_owl_propertyChainAxiom,uri_rdf_rest,esk13_0)), inference(etableau_closure_rule, [i_0_1897, ...])).
% 0.14/0.57 cnf(i_0_1898, plain, (~iext(esk12_0,uri_owl_ObjectProperty,esk15_0)), inference(etableau_closure_rule, [i_0_1898, ...])).
% 0.14/0.57 cnf(i_0_1900, plain, (~iext(uri_rdf_type,esk13_0,uri_foaf_knows)), inference(etableau_closure_rule, [i_0_1900, ...])).
% 0.14/0.57 cnf(i_0_1893, plain, (~iext(uri_rdf_first,esk14_0,uri_rdf_type)), inference(etableau_closure_rule, [i_0_1893, ...])).
% 0.14/0.57 # End printing tableau
% 0.14/0.57 # SZS output end
% 0.14/0.57 # Branches closed with saturation will be marked with an "s"
% 0.14/0.57 # Returning from population with 7 new_tableaux and 0 remaining starting tableaux.
% 0.14/0.57 # We now have 7 tableaux to operate on
% 0.14/0.57 # Found closed tableau during pool population.
% 0.14/0.57 # Proof search is over...
% 0.14/0.57 # Freeing feature tree
%------------------------------------------------------------------------------