TSTP Solution File: SWB028+2 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWB028+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n032.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 19:18:55 EDT 2022
% Result : Theorem 0.48s 0.80s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : SWB028+2 : TPTP v8.1.0. Released v5.2.0.
% 0.05/0.09 % Command : tptp2X_and_run_prover9 %d %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Wed Jun 1 02:58:59 EDT 2022
% 0.07/0.28 % CPUTime :
% 0.48/0.77 ============================== Prover9 ===============================
% 0.48/0.77 Prover9 (32) version 2009-11A, November 2009.
% 0.48/0.77 Process 7827 was started by sandbox2 on n032.cluster.edu,
% 0.48/0.77 Wed Jun 1 02:58:59 2022
% 0.48/0.77 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_7500_n032.cluster.edu".
% 0.48/0.77 ============================== end of head ===========================
% 0.48/0.77
% 0.48/0.77 ============================== INPUT =================================
% 0.48/0.77
% 0.48/0.77 % Reading from file /tmp/Prover9_7500_n032.cluster.edu
% 0.48/0.77
% 0.48/0.77 set(prolog_style_variables).
% 0.48/0.77 set(auto2).
% 0.48/0.77 % set(auto2) -> set(auto).
% 0.48/0.77 % set(auto) -> set(auto_inference).
% 0.48/0.77 % set(auto) -> set(auto_setup).
% 0.48/0.77 % set(auto_setup) -> set(predicate_elim).
% 0.48/0.77 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.48/0.77 % set(auto) -> set(auto_limits).
% 0.48/0.77 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.48/0.77 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.48/0.77 % set(auto) -> set(auto_denials).
% 0.48/0.77 % set(auto) -> set(auto_process).
% 0.48/0.77 % set(auto2) -> assign(new_constants, 1).
% 0.48/0.77 % set(auto2) -> assign(fold_denial_max, 3).
% 0.48/0.77 % set(auto2) -> assign(max_weight, "200.000").
% 0.48/0.77 % set(auto2) -> assign(max_hours, 1).
% 0.48/0.77 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.48/0.77 % set(auto2) -> assign(max_seconds, 0).
% 0.48/0.77 % set(auto2) -> assign(max_minutes, 5).
% 0.48/0.77 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.48/0.77 % set(auto2) -> set(sort_initial_sos).
% 0.48/0.77 % set(auto2) -> assign(sos_limit, -1).
% 0.48/0.77 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.48/0.77 % set(auto2) -> assign(max_megs, 400).
% 0.48/0.77 % set(auto2) -> assign(stats, some).
% 0.48/0.77 % set(auto2) -> clear(echo_input).
% 0.48/0.77 % set(auto2) -> set(quiet).
% 0.48/0.77 % set(auto2) -> clear(print_initial_clauses).
% 0.48/0.77 % set(auto2) -> clear(print_given).
% 0.48/0.77 assign(lrs_ticks,-1).
% 0.48/0.77 assign(sos_limit,10000).
% 0.48/0.77 assign(order,kbo).
% 0.48/0.77 set(lex_order_vars).
% 0.48/0.77 clear(print_given).
% 0.48/0.77
% 0.48/0.77 % formulas(sos). % not echoed (11 formulas)
% 0.48/0.77
% 0.48/0.77 ============================== end of input ==========================
% 0.48/0.77
% 0.48/0.77 % From the command line: assign(max_seconds, 300).
% 0.48/0.77
% 0.48/0.77 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.48/0.77
% 0.48/0.77 % Formulas that are not ordinary clauses:
% 0.48/0.77 1 (all X all Y (iext(uri_owl_inverseOf,X,Y) -> ip(X) & ip(Y))) # label(owl_prop_inverseof_ext) # label(axiom) # label(non_clause). [assumption].
% 0.48/0.77 2 (all X all Y (iext(uri_owl_equivalentClass,X,Y) -> ic(X) & ic(Y))) # label(owl_prop_equivalentclass_ext) # label(axiom) # label(non_clause). [assumption].
% 0.48/0.77 3 (all P (icext(uri_owl_FunctionalProperty,P) <-> ip(P) & (all X all Y1 all Y2 (iext(P,X,Y1) & iext(P,X,Y2) -> Y1 = Y2)))) # label(owl_char_functional) # label(axiom) # label(non_clause). [assumption].
% 0.48/0.77 4 (all P (icext(uri_owl_InverseFunctionalProperty,P) <-> ip(P) & (all X1 all X2 all Y (iext(P,X1,Y) & iext(P,X2,Y) -> X1 = X2)))) # label(owl_char_inversefunctional) # label(axiom) # label(non_clause). [assumption].
% 0.48/0.77 5 (all C1 all C2 (iext(uri_rdfs_subClassOf,C1,C2) <-> ic(C1) & ic(C2) & (all X (icext(C1,X) -> icext(C2,X))))) # label(owl_rdfsext_subclassof) # label(axiom) # label(non_clause). [assumption].
% 0.48/0.77 6 (all C1 all C2 (iext(uri_owl_equivalentClass,C1,C2) <-> ic(C1) & ic(C2) & (all X (icext(C1,X) <-> icext(C2,X))))) # label(owl_eqdis_equivalentclass) # label(axiom) # label(non_clause). [assumption].
% 0.48/0.77 7 (all Z all P all C (iext(uri_owl_someValuesFrom,Z,C) & iext(uri_owl_onProperty,Z,P) -> (all X (icext(Z,X) <-> (exists Y (iext(P,X,Y) & icext(C,Y))))))) # label(owl_restrict_somevaluesfrom) # label(axiom) # label(non_clause). [assumption].
% 0.48/0.77 8 (all P1 all P2 (iext(uri_owl_inverseOf,P1,P2) <-> ip(P1) & ip(P2) & (all X all Y (iext(P1,X,Y) <-> iext(P2,Y,X))))) # label(owl_inv) # label(axiom) # label(non_clause). [assumption].
% 0.48/0.77 9 (exists BNODE_z (iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,BNODE_z) & iext(uri_rdf_type,BNODE_z,uri_owl_Restriction) & iext(uri_owl_onProperty,BNODE_z,uri_owl_inverseOf) & iext(uri_owl_someValuesFrom,BNODE_z,uri_owl_FunctionalProperty))) # label(testcase_premise_fullish_028_Inferred_Property_Characteristics_III) # label(axiom) # label(non_clause). [assumption].
% 0.48/0.77
% 0.48/0.77 ============================== end of process non-clausal formulas ===
% 0.48/0.80
% 0.48/0.80 ============================== PROCESS INITIAL CLAUSES ===============
% 0.48/0.80
% 0.48/0.80 ============================== PREDICATE ELIMINATION =================
% 0.48/0.80
% 0.48/0.80 ============================== end predicate elimination =============
% 0.48/0.80
% 0.48/0.80 Auto_denials: (non-Horn, no changes).
% 0.48/0.80
% 0.48/0.80 Term ordering decisions:
% 0.48/0.80 Function symbol KB weights: uri_owl_equivalentClass=1. uri_owl_inverseOf=1. uri_owl_FunctionalProperty=1. uri_owl_InverseFunctionalProperty=1. uri_rdfs_subClassOf=1. uri_owl_onProperty=1. uri_owl_someValuesFrom=1. uri_ex_InversesOfFunctionalProperties=1. uri_owl_Restriction=1. uri_rdf_type=1. c1=1. f7=1. f8=1. f10=1. f11=1. f1=1. f2=1. f3=1. f4=1. f5=1. f6=1. f9=1.
% 0.48/0.80
% 0.48/0.80 ============================== end of process initial clauses ========
% 0.48/0.80
% 0.48/0.80 ============================== CLAUSES FOR SEARCH ====================
% 0.48/0.80
% 0.48/0.80 ============================== end of clauses for search =============
% 0.48/0.80
% 0.48/0.80 ============================== SEARCH ================================
% 0.48/0.80
% 0.48/0.80 % Starting search at 0.01 seconds.
% 0.48/0.80
% 0.48/0.80 ============================== PROOF =================================
% 0.48/0.80 % SZS status Theorem
% 0.48/0.80 % SZS output start Refutation
% 0.48/0.80
% 0.48/0.80 % Proof 1 at 0.04 (+ 0.00) seconds.
% 0.48/0.80 % Length of proof is 53.
% 0.48/0.80 % Level of proof is 11.
% 0.48/0.80 % Maximum clause weight is 19.000.
% 0.48/0.80 % Given clauses 255.
% 0.48/0.80
% 0.48/0.80 1 (all X all Y (iext(uri_owl_inverseOf,X,Y) -> ip(X) & ip(Y))) # label(owl_prop_inverseof_ext) # label(axiom) # label(non_clause). [assumption].
% 0.48/0.80 2 (all X all Y (iext(uri_owl_equivalentClass,X,Y) -> ic(X) & ic(Y))) # label(owl_prop_equivalentclass_ext) # label(axiom) # label(non_clause). [assumption].
% 0.48/0.80 3 (all P (icext(uri_owl_FunctionalProperty,P) <-> ip(P) & (all X all Y1 all Y2 (iext(P,X,Y1) & iext(P,X,Y2) -> Y1 = Y2)))) # label(owl_char_functional) # label(axiom) # label(non_clause). [assumption].
% 0.48/0.80 4 (all P (icext(uri_owl_InverseFunctionalProperty,P) <-> ip(P) & (all X1 all X2 all Y (iext(P,X1,Y) & iext(P,X2,Y) -> X1 = X2)))) # label(owl_char_inversefunctional) # label(axiom) # label(non_clause). [assumption].
% 0.48/0.80 5 (all C1 all C2 (iext(uri_rdfs_subClassOf,C1,C2) <-> ic(C1) & ic(C2) & (all X (icext(C1,X) -> icext(C2,X))))) # label(owl_rdfsext_subclassof) # label(axiom) # label(non_clause). [assumption].
% 0.48/0.80 6 (all C1 all C2 (iext(uri_owl_equivalentClass,C1,C2) <-> ic(C1) & ic(C2) & (all X (icext(C1,X) <-> icext(C2,X))))) # label(owl_eqdis_equivalentclass) # label(axiom) # label(non_clause). [assumption].
% 0.48/0.80 7 (all Z all P all C (iext(uri_owl_someValuesFrom,Z,C) & iext(uri_owl_onProperty,Z,P) -> (all X (icext(Z,X) <-> (exists Y (iext(P,X,Y) & icext(C,Y))))))) # label(owl_restrict_somevaluesfrom) # label(axiom) # label(non_clause). [assumption].
% 0.48/0.80 8 (all P1 all P2 (iext(uri_owl_inverseOf,P1,P2) <-> ip(P1) & ip(P2) & (all X all Y (iext(P1,X,Y) <-> iext(P2,Y,X))))) # label(owl_inv) # label(axiom) # label(non_clause). [assumption].
% 0.48/0.80 9 (exists BNODE_z (iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,BNODE_z) & iext(uri_rdf_type,BNODE_z,uri_owl_Restriction) & iext(uri_owl_onProperty,BNODE_z,uri_owl_inverseOf) & iext(uri_owl_someValuesFrom,BNODE_z,uri_owl_FunctionalProperty))) # label(testcase_premise_fullish_028_Inferred_Property_Characteristics_III) # label(axiom) # label(non_clause). [assumption].
% 0.48/0.80 10 ic(uri_owl_InverseFunctionalProperty) # label(owl_class_inversefunctionalproperty_type) # label(axiom). [assumption].
% 0.48/0.80 11 iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,c1) # label(testcase_premise_fullish_028_Inferred_Property_Characteristics_III) # label(axiom). [clausify(9)].
% 0.48/0.80 13 iext(uri_owl_onProperty,c1,uri_owl_inverseOf) # label(testcase_premise_fullish_028_Inferred_Property_Characteristics_III) # label(axiom). [clausify(9)].
% 0.48/0.80 14 iext(uri_owl_someValuesFrom,c1,uri_owl_FunctionalProperty) # label(testcase_premise_fullish_028_Inferred_Property_Characteristics_III) # label(axiom). [clausify(9)].
% 0.48/0.80 15 -iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) # label(testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III) # label(negated_conjecture). [assumption].
% 0.48/0.80 18 -iext(uri_owl_inverseOf,A,B) | ip(A) # label(owl_prop_inverseof_ext) # label(axiom). [clausify(1)].
% 0.48/0.80 20 -iext(uri_owl_equivalentClass,A,B) | ic(A) # label(owl_prop_equivalentclass_ext) # label(axiom). [clausify(2)].
% 0.48/0.80 21 -iext(uri_owl_equivalentClass,A,B) | ic(B) # label(owl_prop_equivalentclass_ext) # label(axiom). [clausify(2)].
% 0.48/0.80 25 icext(uri_owl_InverseFunctionalProperty,A) | -ip(A) | f5(A) != f4(A) # label(owl_char_inversefunctional) # label(axiom). [clausify(4)].
% 0.48/0.80 26 -iext(uri_rdfs_subClassOf,A,B) | -icext(A,C) | icext(B,C) # label(owl_rdfsext_subclassof) # label(axiom). [clausify(5)].
% 0.48/0.80 27 -iext(uri_owl_equivalentClass,A,B) | -icext(A,C) | icext(B,C) # label(owl_eqdis_equivalentclass) # label(axiom). [clausify(6)].
% 0.48/0.80 31 icext(uri_owl_InverseFunctionalProperty,A) | -ip(A) | iext(A,f4(A),f6(A)) # label(owl_char_inversefunctional) # label(axiom). [clausify(4)].
% 0.48/0.80 32 icext(uri_owl_InverseFunctionalProperty,A) | -ip(A) | iext(A,f5(A),f6(A)) # label(owl_char_inversefunctional) # label(axiom). [clausify(4)].
% 0.48/0.80 33 -iext(uri_owl_inverseOf,A,B) | -iext(A,C,D) | iext(B,D,C) # label(owl_inv) # label(axiom). [clausify(8)].
% 0.48/0.80 35 iext(uri_rdfs_subClassOf,A,B) | -ic(A) | -ic(B) | icext(A,f7(A,B)) # label(owl_rdfsext_subclassof) # label(axiom). [clausify(5)].
% 0.48/0.80 36 iext(uri_rdfs_subClassOf,A,B) | -ic(A) | -ic(B) | -icext(B,f7(A,B)) # label(owl_rdfsext_subclassof) # label(axiom). [clausify(5)].
% 0.48/0.80 37 -icext(uri_owl_FunctionalProperty,A) | -iext(A,B,C) | -iext(A,B,D) | D = C # label(owl_char_functional) # label(axiom). [clausify(3)].
% 0.48/0.80 41 -iext(uri_owl_someValuesFrom,A,B) | -iext(uri_owl_onProperty,A,C) | -icext(A,D) | icext(B,f9(A,C,B,D)) # label(owl_restrict_somevaluesfrom) # label(axiom). [clausify(7)].
% 0.48/0.80 43 -iext(uri_owl_someValuesFrom,A,B) | -iext(uri_owl_onProperty,A,C) | -icext(A,D) | iext(C,D,f9(A,C,B,D)) # label(owl_restrict_somevaluesfrom) # label(axiom). [clausify(7)].
% 0.48/0.80 56 ic(uri_ex_InversesOfFunctionalProperties). [resolve(20,a,11,a)].
% 0.48/0.80 57 ic(c1). [resolve(21,a,11,a)].
% 0.48/0.80 58 -icext(uri_ex_InversesOfFunctionalProperties,A) | icext(c1,A). [resolve(27,a,11,a)].
% 0.48/0.80 69 iext(uri_rdfs_subClassOf,A,uri_owl_InverseFunctionalProperty) | -ic(A) | icext(A,f7(A,uri_owl_InverseFunctionalProperty)). [resolve(35,c,10,a)].
% 0.48/0.80 81 -iext(uri_owl_onProperty,c1,A) | -icext(c1,B) | icext(uri_owl_FunctionalProperty,f9(c1,A,uri_owl_FunctionalProperty,B)). [resolve(41,a,14,a)].
% 0.48/0.80 90 -iext(uri_owl_onProperty,c1,A) | -icext(c1,B) | iext(A,B,f9(c1,A,uri_owl_FunctionalProperty,B)). [resolve(43,a,14,a)].
% 0.48/0.80 100 -icext(uri_owl_InverseFunctionalProperty,f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)). [ur(36,a,15,a,b,56,a,c,10,a)].
% 0.48/0.80 145 iext(uri_rdfs_subClassOf,c1,uri_owl_InverseFunctionalProperty) | icext(c1,f7(c1,uri_owl_InverseFunctionalProperty)). [resolve(69,b,57,a)].
% 0.48/0.80 146 icext(uri_ex_InversesOfFunctionalProperties,f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)). [resolve(69,b,56,a),unit_del(a,15)].
% 0.48/0.80 147 icext(c1,f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)). [resolve(146,a,58,a)].
% 0.48/0.80 152 -iext(uri_rdfs_subClassOf,c1,uri_owl_InverseFunctionalProperty). [ur(26,b,147,a,c,100,a)].
% 0.48/0.80 153 icext(c1,f7(c1,uri_owl_InverseFunctionalProperty)). [back_unit_del(145),unit_del(a,152)].
% 0.48/0.80 162 -icext(uri_owl_InverseFunctionalProperty,f7(c1,uri_owl_InverseFunctionalProperty)). [ur(36,a,152,a,b,57,a,c,10,a)].
% 0.48/0.80 172 -icext(c1,A) | icext(uri_owl_FunctionalProperty,f9(c1,uri_owl_inverseOf,uri_owl_FunctionalProperty,A)). [resolve(81,a,13,a)].
% 0.48/0.80 177 icext(uri_owl_FunctionalProperty,f9(c1,uri_owl_inverseOf,uri_owl_FunctionalProperty,f7(c1,uri_owl_InverseFunctionalProperty))). [resolve(172,a,153,a)].
% 0.48/0.80 219 -icext(c1,A) | iext(uri_owl_inverseOf,A,f9(c1,uri_owl_inverseOf,uri_owl_FunctionalProperty,A)). [resolve(90,a,13,a)].
% 0.48/0.80 224 iext(uri_owl_inverseOf,f7(c1,uri_owl_InverseFunctionalProperty),f9(c1,uri_owl_inverseOf,uri_owl_FunctionalProperty,f7(c1,uri_owl_InverseFunctionalProperty))). [resolve(219,a,153,a)].
% 0.48/0.80 232 -iext(f7(c1,uri_owl_InverseFunctionalProperty),A,B) | iext(f9(c1,uri_owl_inverseOf,uri_owl_FunctionalProperty,f7(c1,uri_owl_InverseFunctionalProperty)),B,A). [resolve(224,a,33,a)].
% 0.48/0.80 233 ip(f7(c1,uri_owl_InverseFunctionalProperty)). [resolve(224,a,18,a)].
% 0.48/0.80 237 iext(f7(c1,uri_owl_InverseFunctionalProperty),f5(f7(c1,uri_owl_InverseFunctionalProperty)),f6(f7(c1,uri_owl_InverseFunctionalProperty))). [resolve(233,a,32,b),unit_del(a,162)].
% 0.48/0.80 238 iext(f7(c1,uri_owl_InverseFunctionalProperty),f4(f7(c1,uri_owl_InverseFunctionalProperty)),f6(f7(c1,uri_owl_InverseFunctionalProperty))). [resolve(233,a,31,b),unit_del(a,162)].
% 0.48/0.80 241 f5(f7(c1,uri_owl_InverseFunctionalProperty)) != f4(f7(c1,uri_owl_InverseFunctionalProperty)). [resolve(233,a,25,b),unit_del(a,162)].
% 0.48/0.80 363 iext(f9(c1,uri_owl_inverseOf,uri_owl_FunctionalProperty,f7(c1,uri_owl_InverseFunctionalProperty)),f6(f7(c1,uri_owl_InverseFunctionalProperty)),f4(f7(c1,uri_owl_InverseFunctionalProperty))). [resolve(232,a,238,a)].
% 0.48/0.80 364 iext(f9(c1,uri_owl_inverseOf,uri_owl_FunctionalProperty,f7(c1,uri_owl_InverseFunctionalProperty)),f6(f7(c1,uri_owl_InverseFunctionalProperty)),f5(f7(c1,uri_owl_InverseFunctionalProperty))). [resolve(232,a,237,a)].
% 0.48/0.80 405 $F. [ur(37,a,177,a,c,363,a,d,241,a(flip)),unit_del(a,364)].
% 0.48/0.80
% 0.48/0.80 % SZS output end Refutation
% 0.48/0.80 ============================== end of proof ==========================
% 0.48/0.80
% 0.48/0.80 ============================== STATISTICS ============================
% 0.48/0.80
% 0.48/0.80 Given=255. Generated=643. Kept=395. proofs=1.
% 0.48/0.80 Usable=255. Sos=133. Demods=0. Limbo=6, Disabled=41. Hints=0.
% 0.48/0.80 Megabytes=0.82.
% 0.48/0.80 User_CPU=0.04, System_CPU=0.00, Wall_clock=0.
% 0.48/0.80
% 0.48/0.80 ============================== end of statistics =====================
% 0.48/0.80
% 0.48/0.80 ============================== end of search =========================
% 0.48/0.80
% 0.48/0.80 THEOREM PROVED
% 0.48/0.80 % SZS status Theorem
% 0.48/0.80
% 0.48/0.80 Exiting with 1 proof.
% 0.48/0.80
% 0.48/0.80 Process 7827 exit (max_proofs) Wed Jun 1 02:58:59 2022
% 0.48/0.80 Prover9 interrupted
%------------------------------------------------------------------------------