TSTP Solution File: SWB005+2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWB005+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 19:18:45 EDT 2022

% Result   : Theorem 0.55s 0.82s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : SWB005+2 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.11  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.31  % Computer : n032.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit : 300
% 0.12/0.31  % WCLimit  : 600
% 0.12/0.31  % DateTime : Wed Jun  1 05:57:44 EDT 2022
% 0.17/0.31  % CPUTime  : 
% 0.55/0.82  ============================== Prover9 ===============================
% 0.55/0.82  Prover9 (32) version 2009-11A, November 2009.
% 0.55/0.82  Process 18877 was started by sandbox on n032.cluster.edu,
% 0.55/0.82  Wed Jun  1 05:57:44 2022
% 0.55/0.82  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_18724_n032.cluster.edu".
% 0.55/0.82  ============================== end of head ===========================
% 0.55/0.82  
% 0.55/0.82  ============================== INPUT =================================
% 0.55/0.82  
% 0.55/0.82  % Reading from file /tmp/Prover9_18724_n032.cluster.edu
% 0.55/0.82  
% 0.55/0.82  set(prolog_style_variables).
% 0.55/0.82  set(auto2).
% 0.55/0.82      % set(auto2) -> set(auto).
% 0.55/0.82      % set(auto) -> set(auto_inference).
% 0.55/0.82      % set(auto) -> set(auto_setup).
% 0.55/0.82      % set(auto_setup) -> set(predicate_elim).
% 0.55/0.82      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.55/0.82      % set(auto) -> set(auto_limits).
% 0.55/0.82      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.55/0.82      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.55/0.82      % set(auto) -> set(auto_denials).
% 0.55/0.82      % set(auto) -> set(auto_process).
% 0.55/0.82      % set(auto2) -> assign(new_constants, 1).
% 0.55/0.82      % set(auto2) -> assign(fold_denial_max, 3).
% 0.55/0.82      % set(auto2) -> assign(max_weight, "200.000").
% 0.55/0.82      % set(auto2) -> assign(max_hours, 1).
% 0.55/0.82      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.55/0.82      % set(auto2) -> assign(max_seconds, 0).
% 0.55/0.82      % set(auto2) -> assign(max_minutes, 5).
% 0.55/0.82      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.55/0.82      % set(auto2) -> set(sort_initial_sos).
% 0.55/0.82      % set(auto2) -> assign(sos_limit, -1).
% 0.55/0.82      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.55/0.82      % set(auto2) -> assign(max_megs, 400).
% 0.55/0.82      % set(auto2) -> assign(stats, some).
% 0.55/0.82      % set(auto2) -> clear(echo_input).
% 0.55/0.82      % set(auto2) -> set(quiet).
% 0.55/0.82      % set(auto2) -> clear(print_initial_clauses).
% 0.55/0.82      % set(auto2) -> clear(print_given).
% 0.55/0.82  assign(lrs_ticks,-1).
% 0.55/0.82  assign(sos_limit,10000).
% 0.55/0.82  assign(order,kbo).
% 0.55/0.82  set(lex_order_vars).
% 0.55/0.82  clear(print_given).
% 0.55/0.82  
% 0.55/0.82  % formulas(sos).  % not echoed (9 formulas)
% 0.55/0.82  
% 0.55/0.82  ============================== end of input ==========================
% 0.55/0.82  
% 0.55/0.82  % From the command line: assign(max_seconds, 300).
% 0.55/0.82  
% 0.55/0.82  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.55/0.82  
% 0.55/0.82  % Formulas that are not ordinary clauses:
% 0.55/0.82  1 (all X ir(X)) # label(simple_ir) # label(axiom) # label(non_clause).  [assumption].
% 0.55/0.82  2 (all S all P all O (iext(P,S,O) -> ip(P))) # label(simple_iext_property) # label(axiom) # label(non_clause).  [assumption].
% 0.55/0.82  3 (all P (iext(uri_rdf_type,P,uri_rdf_Property) <-> ip(P))) # label(rdf_type_ip) # label(axiom) # label(non_clause).  [assumption].
% 0.55/0.82  4 (all X all C (iext(uri_rdf_type,X,C) <-> icext(C,X))) # label(rdfs_cext_def) # label(axiom) # label(non_clause).  [assumption].
% 0.55/0.82  5 (all X (ir(X) <-> icext(uri_rdfs_Resource,X))) # label(rdfs_ir_def) # label(axiom) # label(non_clause).  [assumption].
% 0.55/0.82  6 (all X (icext(uri_owl_Thing,X) <-> ir(X))) # label(owl_class_thing_ext) # label(axiom) # label(non_clause).  [assumption].
% 0.55/0.82  7 (all X (icext(uri_owl_ObjectProperty,X) <-> ip(X))) # label(owl_class_objectproperty_ext) # label(axiom) # label(non_clause).  [assumption].
% 0.55/0.82  8 -(iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) & iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) & iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) & iext(uri_rdf_type,uri_ex_p,uri_owl_Thing) & iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) & iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) & iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)) # label(testcase_conclusion_fullish_005_Everything_is_a_Resource) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.55/0.82  
% 0.55/0.82  ============================== end of process non-clausal formulas ===
% 0.55/0.82  
% 0.55/0.82  ============================== PROCESS INITIAL CLAUSES ===============
% 0.55/0.82  
% 0.55/0.82  ============================== PREDICATE ELIMINATION =================
% 0.55/0.82  9 -ir(A) | icext(uri_rdfs_Resource,A) # label(rdfs_ir_def) # label(axiom).  [clausify(5)].
% 0.55/0.82  10 ir(A) # label(simple_ir) # label(axiom).  [clausify(1)].
% 0.55/0.82  Derived: icext(uri_rdfs_Resource,A).  [resolve(9,a,10,a)].
% 0.55/0.82  11 ir(A) | -icext(uri_rdfs_Resource,A) # label(rdfs_ir_def) # label(axiom).  [clausify(5)].
% 0.55/0.82  12 -icext(uri_owl_Thing,A) | ir(A) # label(owl_class_thing_ext) # label(axiom).  [clausify(6)].
% 0.55/0.82  13 icext(uri_owl_Thing,A) | -ir(A) # label(owl_class_thing_ext) # label(axiom).  [clausify(6)].
% 0.55/0.82  Derived: icext(uri_owl_Thing,A).  [resolve(13,b,10,a)].
% 0.55/0.82  14 icext(uri_owl_ObjectProperty,A) | -ip(A) # label(owl_class_objectproperty_ext) # label(axiom).  [clausify(7)].
% 0.55/0.82  15 -icext(uri_owl_ObjectProperty,A) | ip(A) # label(owl_class_objectproperty_ext) # label(axiom).  [clausify(7)].
% 0.55/0.82  16 -iext(uri_rdf_type,A,B) | icext(B,A) # label(rdfs_cext_def) # label(axiom).  [clausify(4)].
% 0.55/0.82  Derived: -iext(uri_rdf_type,A,uri_owl_ObjectProperty) | ip(A).  [resolve(16,b,15,a)].
% 0.55/0.82  17 iext(uri_rdf_type,A,B) | -icext(B,A) # label(rdfs_cext_def) # label(axiom).  [clausify(4)].
% 0.55/0.82  Derived: iext(uri_rdf_type,A,uri_owl_ObjectProperty) | -ip(A).  [resolve(17,b,14,a)].
% 0.55/0.82  18 icext(uri_rdfs_Resource,A).  [resolve(9,a,10,a)].
% 0.55/0.82  Derived: iext(uri_rdf_type,A,uri_rdfs_Resource).  [resolve(18,a,17,b)].
% 0.55/0.82  19 icext(uri_owl_Thing,A).  [resolve(13,b,10,a)].
% 0.55/0.82  Derived: iext(uri_rdf_type,A,uri_owl_Thing).  [resolve(19,a,17,b)].
% 0.55/0.82  20 iext(uri_rdf_type,A,uri_rdf_Property) | -ip(A) # label(rdf_type_ip) # label(axiom).  [clausify(3)].
% 0.55/0.82  21 -iext(A,B,C) | ip(A) # label(simple_iext_property) # label(axiom).  [clausify(2)].
% 0.55/0.82  22 -iext(uri_rdf_type,A,uri_rdf_Property) | ip(A) # label(rdf_type_ip) # label(axiom).  [clausify(3)].
% 0.55/0.82  Derived: iext(uri_rdf_type,A,uri_rdf_Property) | -iext(A,B,C).  [resolve(20,b,21,b)].
% 0.55/0.82  23 -iext(uri_rdf_type,A,uri_owl_ObjectProperty) | ip(A).  [resolve(16,b,15,a)].
% 0.55/0.82  Derived: -iext(uri_rdf_type,A,uri_owl_ObjectProperty) | iext(uri_rdf_type,A,uri_rdf_Property).  [resolve(23,b,20,b)].
% 0.55/0.82  24 iext(uri_rdf_type,A,uri_owl_ObjectProperty) | -ip(A).  [resolve(17,b,14,a)].
% 0.55/0.82  Derived: iext(uri_rdf_type,A,uri_owl_ObjectProperty) | -iext(A,B,C).  [resolve(24,b,21,b)].
% 0.55/0.82  Derived: iext(uri_rdf_type,A,uri_owl_ObjectProperty) | -iext(uri_rdf_type,A,uri_rdf_Property).  [resolve(24,b,22,b)].
% 0.55/0.82  
% 0.55/0.82  ============================== end predicate elimination =============
% 0.55/0.82  
% 0.55/0.82  Auto_denials:
% 0.55/0.82    % copying label testcase_conclusion_fullish_005_Everything_is_a_Resource to answer in negative clause
% 0.55/0.82  
% 0.55/0.82  Term ordering decisions:
% 0.55/0.82  Function symbol KB weights:  uri_rdf_type=1. uri_owl_ObjectProperty=1. uri_rdf_Property=1. uri_ex_o=1. uri_ex_p=1. uri_ex_s=1. uri_owl_Thing=1. uri_rdfs_Resource=1.
% 0.55/0.82  
% 0.55/0.82  ============================== end of process initial clauses ========
% 0.55/0.82  
% 0.55/0.82  ============================== CLAUSES FOR SEARCH ====================
% 0.55/0.82  
% 0.55/0.82  ============================== end of clauses for search =============
% 0.55/0.82  
% 0.55/0.82  ============================== SEARCH ================================
% 0.55/0.82  
% 0.55/0.82  % Starting search at 0.01 seconds.
% 0.55/0.82  
% 0.55/0.82  ============================== PROOF =================================
% 0.55/0.82  % SZS status Theorem
% 0.55/0.82  % SZS output start Refutation
% 0.55/0.82  
% 0.55/0.82  % Proof 1 at 0.01 (+ 0.00) seconds: testcase_conclusion_fullish_005_Everything_is_a_Resource.
% 0.55/0.82  % Length of proof is 28.
% 0.55/0.82  % Level of proof is 6.
% 0.55/0.82  % Maximum clause weight is 32.000.
% 0.55/0.82  % Given clauses 6.
% 0.55/0.82  
% 0.55/0.82  1 (all X ir(X)) # label(simple_ir) # label(axiom) # label(non_clause).  [assumption].
% 0.55/0.82  2 (all S all P all O (iext(P,S,O) -> ip(P))) # label(simple_iext_property) # label(axiom) # label(non_clause).  [assumption].
% 0.55/0.82  3 (all P (iext(uri_rdf_type,P,uri_rdf_Property) <-> ip(P))) # label(rdf_type_ip) # label(axiom) # label(non_clause).  [assumption].
% 0.55/0.82  4 (all X all C (iext(uri_rdf_type,X,C) <-> icext(C,X))) # label(rdfs_cext_def) # label(axiom) # label(non_clause).  [assumption].
% 0.55/0.82  5 (all X (ir(X) <-> icext(uri_rdfs_Resource,X))) # label(rdfs_ir_def) # label(axiom) # label(non_clause).  [assumption].
% 0.55/0.82  6 (all X (icext(uri_owl_Thing,X) <-> ir(X))) # label(owl_class_thing_ext) # label(axiom) # label(non_clause).  [assumption].
% 0.55/0.82  7 (all X (icext(uri_owl_ObjectProperty,X) <-> ip(X))) # label(owl_class_objectproperty_ext) # label(axiom) # label(non_clause).  [assumption].
% 0.55/0.82  8 -(iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) & iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) & iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) & iext(uri_rdf_type,uri_ex_p,uri_owl_Thing) & iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) & iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) & iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)) # label(testcase_conclusion_fullish_005_Everything_is_a_Resource) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.55/0.82  9 -ir(A) | icext(uri_rdfs_Resource,A) # label(rdfs_ir_def) # label(axiom).  [clausify(5)].
% 0.55/0.82  10 ir(A) # label(simple_ir) # label(axiom).  [clausify(1)].
% 0.55/0.82  13 icext(uri_owl_Thing,A) | -ir(A) # label(owl_class_thing_ext) # label(axiom).  [clausify(6)].
% 0.55/0.82  14 icext(uri_owl_ObjectProperty,A) | -ip(A) # label(owl_class_objectproperty_ext) # label(axiom).  [clausify(7)].
% 0.55/0.82  17 iext(uri_rdf_type,A,B) | -icext(B,A) # label(rdfs_cext_def) # label(axiom).  [clausify(4)].
% 0.55/0.82  18 icext(uri_rdfs_Resource,A).  [resolve(9,a,10,a)].
% 0.55/0.82  19 icext(uri_owl_Thing,A).  [resolve(13,b,10,a)].
% 0.55/0.82  20 iext(uri_rdf_type,A,uri_rdf_Property) | -ip(A) # label(rdf_type_ip) # label(axiom).  [clausify(3)].
% 0.55/0.82  21 -iext(A,B,C) | ip(A) # label(simple_iext_property) # label(axiom).  [clausify(2)].
% 0.55/0.82  24 iext(uri_rdf_type,A,uri_owl_ObjectProperty) | -ip(A).  [resolve(17,b,14,a)].
% 0.55/0.82  25 iext(uri_ex_p,uri_ex_s,uri_ex_o) # label(testcase_premise_fullish_005_Everything_is_a_Resource) # label(axiom).  [assumption].
% 0.55/0.82  26 -iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) | -iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) | -iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) | -iext(uri_rdf_type,uri_ex_p,uri_owl_Thing) | -iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) | -iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) | -iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) | -iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) # label(testcase_conclusion_fullish_005_Everything_is_a_Resource) # label(negated_conjecture) # answer(testcase_conclusion_fullish_005_Everything_is_a_Resource).  [clausify(8)].
% 0.55/0.82  27 iext(uri_rdf_type,A,uri_rdfs_Resource).  [resolve(18,a,17,b)].
% 0.55/0.82  28 iext(uri_rdf_type,A,uri_owl_Thing).  [resolve(19,a,17,b)].
% 0.55/0.82  29 iext(uri_rdf_type,A,uri_rdf_Property) | -iext(A,B,C).  [resolve(20,b,21,b)].
% 0.55/0.82  31 iext(uri_rdf_type,A,uri_owl_ObjectProperty) | -iext(A,B,C).  [resolve(24,b,21,b)].
% 0.55/0.82  33 -iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) | -iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) # answer(testcase_conclusion_fullish_005_Everything_is_a_Resource).  [back_unit_del(26),unit_del(a,27),unit_del(b,28),unit_del(c,27),unit_del(d,28),unit_del(g,27),unit_del(h,28)].
% 0.55/0.82  35 iext(uri_rdf_type,uri_ex_p,uri_rdf_Property).  [ur(29,b,25,a)].
% 0.55/0.82  36 -iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) # answer(testcase_conclusion_fullish_005_Everything_is_a_Resource).  [back_unit_del(33),unit_del(a,35)].
% 0.55/0.82  38 $F # answer(testcase_conclusion_fullish_005_Everything_is_a_Resource).  [ur(31,b,25,a),unit_del(a,36)].
% 0.55/0.82  
% 0.55/0.82  % SZS output end Refutation
% 0.55/0.82  ============================== end of proof ==========================
% 0.55/0.82  
% 0.55/0.82  ============================== STATISTICS ============================
% 0.55/0.82  
% 0.55/0.82  Given=6. Generated=16. Kept=13. proofs=1.
% 0.55/0.82  Usable=6. Sos=4. Demods=0. Limbo=1, Disabled=26. Hints=0.
% 0.55/0.82  Megabytes=0.04.
% 0.55/0.82  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.55/0.82  
% 0.55/0.82  ============================== end of statistics =====================
% 0.55/0.82  
% 0.55/0.82  ============================== end of search =========================
% 0.55/0.82  
% 0.55/0.82  THEOREM PROVED
% 0.55/0.82  % SZS status Theorem
% 0.55/0.82  
% 0.55/0.82  Exiting with 1 proof.
% 0.55/0.82  
% 0.55/0.82  Process 18877 exit (max_proofs) Wed Jun  1 05:57:44 2022
% 0.55/0.82  Prover9 interrupted
%------------------------------------------------------------------------------