TSTP Solution File: SWB003+4 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWB003+4 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n023.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 19:18:44 EDT 2022

% Result   : Theorem 0.43s 1.02s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWB003+4 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.33  % Computer : n023.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  : 600
% 0.13/0.33  % DateTime : Wed Jun  1 08:51:41 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.43/1.01  ============================== Prover9 ===============================
% 0.43/1.01  Prover9 (32) version 2009-11A, November 2009.
% 0.43/1.01  Process 27436 was started by sandbox on n023.cluster.edu,
% 0.43/1.01  Wed Jun  1 08:51:42 2022
% 0.43/1.01  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_27283_n023.cluster.edu".
% 0.43/1.01  ============================== end of head ===========================
% 0.43/1.01  
% 0.43/1.01  ============================== INPUT =================================
% 0.43/1.01  
% 0.43/1.01  % Reading from file /tmp/Prover9_27283_n023.cluster.edu
% 0.43/1.01  
% 0.43/1.01  set(prolog_style_variables).
% 0.43/1.01  set(auto2).
% 0.43/1.01      % set(auto2) -> set(auto).
% 0.43/1.01      % set(auto) -> set(auto_inference).
% 0.43/1.01      % set(auto) -> set(auto_setup).
% 0.43/1.01      % set(auto_setup) -> set(predicate_elim).
% 0.43/1.01      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/1.01      % set(auto) -> set(auto_limits).
% 0.43/1.01      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/1.01      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/1.01      % set(auto) -> set(auto_denials).
% 0.43/1.01      % set(auto) -> set(auto_process).
% 0.43/1.01      % set(auto2) -> assign(new_constants, 1).
% 0.43/1.01      % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/1.01      % set(auto2) -> assign(max_weight, "200.000").
% 0.43/1.01      % set(auto2) -> assign(max_hours, 1).
% 0.43/1.01      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/1.01      % set(auto2) -> assign(max_seconds, 0).
% 0.43/1.01      % set(auto2) -> assign(max_minutes, 5).
% 0.43/1.01      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/1.01      % set(auto2) -> set(sort_initial_sos).
% 0.43/1.01      % set(auto2) -> assign(sos_limit, -1).
% 0.43/1.01      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/1.01      % set(auto2) -> assign(max_megs, 400).
% 0.43/1.01      % set(auto2) -> assign(stats, some).
% 0.43/1.01      % set(auto2) -> clear(echo_input).
% 0.43/1.01      % set(auto2) -> set(quiet).
% 0.43/1.01      % set(auto2) -> clear(print_initial_clauses).
% 0.43/1.01      % set(auto2) -> clear(print_given).
% 0.43/1.01  assign(lrs_ticks,-1).
% 0.43/1.01  assign(sos_limit,10000).
% 0.43/1.01  assign(order,kbo).
% 0.43/1.01  set(lex_order_vars).
% 0.43/1.01  clear(print_given).
% 0.43/1.01  
% 0.43/1.01  % formulas(sos).  % not echoed (82 formulas)
% 0.43/1.01  
% 0.43/1.01  ============================== end of input ==========================
% 0.43/1.01  
% 0.43/1.01  % From the command line: assign(max_seconds, 300).
% 0.43/1.01  
% 0.43/1.01  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/1.01  
% 0.43/1.01  % Formulas that are not ordinary clauses:
% 0.43/1.01  1 (all S all P all O (iext(P,S,O) -> ip(P))) # label(simple_iext_property) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.01  2 (all X ir(X)) # label(simple_ir) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.01  3 (all X (lv(X) -> ir(X))) # label(simple_lv) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.01  4 (all P (iext(uri_rdf_type,P,uri_rdf_Property) <-> ip(P))) # label(rdf_type_ip) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.01  5 (all X all C (iext(uri_rdf_type,X,C) <-> icext(C,X))) # label(rdfs_cext_def) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.01  6 (all C (ic(C) -> iext(uri_rdfs_subClassOf,C,uri_rdfs_Resource))) # label(rdfs_class_instsub_resource) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.01  7 (all P (icext(uri_rdfs_ContainerMembershipProperty,P) -> iext(uri_rdfs_subPropertyOf,P,uri_rdfs_member))) # label(rdfs_container_containermembershipproperty_instsub_member) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.01  8 (all D (icext(uri_rdfs_Datatype,D) -> iext(uri_rdfs_subClassOf,D,uri_rdfs_Literal))) # label(rdfs_datatype_instsub_literal) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.01  9 (all P all C all X all Y (iext(uri_rdfs_domain,P,C) & iext(P,X,Y) -> icext(C,X))) # label(rdfs_domain_main) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.01  10 (all X (ic(X) <-> icext(uri_rdfs_Class,X))) # label(rdfs_ic_def) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.01  11 (all X (ir(X) <-> icext(uri_rdfs_Resource,X))) # label(rdfs_ir_def) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.01  12 (all X (lv(X) <-> icext(uri_rdfs_Literal,X))) # label(rdfs_lv_def) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.01  13 (all P all C all X all Y (iext(uri_rdfs_range,P,C) & iext(P,X,Y) -> icext(C,Y))) # label(rdfs_range_main) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.01  14 (all C all D (iext(uri_rdfs_subClassOf,C,D) -> ic(C) & ic(D) & (all X (icext(C,X) -> icext(D,X))))) # label(rdfs_subclassof_main) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.01  15 (all C (ic(C) -> iext(uri_rdfs_subClassOf,C,C))) # label(rdfs_subclassof_reflex) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.01  16 (all C all D all E (iext(uri_rdfs_subClassOf,C,D) & iext(uri_rdfs_subClassOf,D,E) -> iext(uri_rdfs_subClassOf,C,E))) # label(rdfs_subclassof_trans) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.01  17 (all P all Q (iext(uri_rdfs_subPropertyOf,P,Q) -> ip(P) & ip(Q) & (all X all Y (iext(P,X,Y) -> iext(Q,X,Y))))) # label(rdfs_subpropertyof_main) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.01  18 (all P (ip(P) -> iext(uri_rdfs_subPropertyOf,P,P))) # label(rdfs_subpropertyof_reflex) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.01  19 (all P all Q all R (iext(uri_rdfs_subPropertyOf,P,Q) & iext(uri_rdfs_subPropertyOf,Q,R) -> iext(uri_rdfs_subPropertyOf,P,R))) # label(rdfs_subpropertyof_trans) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.01  20 -(exists BNODE_x iext(uri_ex_p,uri_ex_s,BNODE_x)) # label(testcase_conclusion_fullish_003_Blank_Nodes_for_Literals) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.43/1.01  
% 0.43/1.01  ============================== end of process non-clausal formulas ===
% 0.43/1.01  
% 0.43/1.01  ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/1.01  
% 0.43/1.01  ============================== PREDICATE ELIMINATION =================
% 0.43/1.01  21 -ir(A) | icext(uri_rdfs_Resource,A) # label(rdfs_ir_def) # label(axiom).  [clausify(11)].
% 0.43/1.01  22 ir(A) # label(simple_ir) # label(axiom).  [clausify(2)].
% 0.43/1.01  23 -lv(A) | ir(A) # label(simple_lv) # label(axiom).  [clausify(3)].
% 0.43/1.01  Derived: icext(uri_rdfs_Resource,A).  [resolve(21,a,22,a)].
% 0.43/1.01  24 ir(A) | -icext(uri_rdfs_Resource,A) # label(rdfs_ir_def) # label(axiom).  [clausify(11)].
% 0.43/1.01  25 ic(A) | -icext(uri_rdfs_Class,A) # label(rdfs_ic_def) # label(axiom).  [clausify(10)].
% 0.43/1.01  26 -ic(A) | icext(uri_rdfs_Class,A) # label(rdfs_ic_def) # label(axiom).  [clausify(10)].
% 0.43/1.01  27 -ic(A) | iext(uri_rdfs_subClassOf,A,uri_rdfs_Resource) # label(rdfs_class_instsub_resource) # label(axiom).  [clausify(6)].
% 0.43/1.01  Derived: iext(uri_rdfs_subClassOf,A,uri_rdfs_Resource) | -icext(uri_rdfs_Class,A).  [resolve(27,a,25,a)].
% 0.43/1.01  28 -iext(uri_rdfs_subClassOf,A,B) | ic(A) # label(rdfs_subclassof_main) # label(axiom).  [clausify(14)].
% 0.43/1.01  Derived: -iext(uri_rdfs_subClassOf,A,B) | icext(uri_rdfs_Class,A).  [resolve(28,b,26,a)].
% 0.43/1.01  Derived: -iext(uri_rdfs_subClassOf,A,B) | iext(uri_rdfs_subClassOf,A,uri_rdfs_Resource).  [resolve(28,b,27,a)].
% 0.43/1.01  29 -iext(uri_rdfs_subClassOf,A,B) | ic(B) # label(rdfs_subclassof_main) # label(axiom).  [clausify(14)].
% 0.43/1.01  Derived: -iext(uri_rdfs_subClassOf,A,B) | icext(uri_rdfs_Class,B).  [resolve(29,b,26,a)].
% 0.43/1.01  Derived: -iext(uri_rdfs_subClassOf,A,B) | iext(uri_rdfs_subClassOf,B,uri_rdfs_Resource).  [resolve(29,b,27,a)].
% 0.43/1.01  30 -ic(A) | iext(uri_rdfs_subClassOf,A,A) # label(rdfs_subclassof_reflex) # label(axiom).  [clausify(15)].
% 0.43/1.01  Derived: iext(uri_rdfs_subClassOf,A,A) | -icext(uri_rdfs_Class,A).  [resolve(30,a,25,a)].
% 0.43/1.01  Derived: iext(uri_rdfs_subClassOf,A,A) | -iext(uri_rdfs_subClassOf,A,B).  [resolve(30,a,28,b)].
% 0.43/1.01  Derived: iext(uri_rdfs_subClassOf,A,A) | -iext(uri_rdfs_subClassOf,B,A).  [resolve(30,a,29,b)].
% 0.43/1.01  31 lv(A) | -icext(uri_rdfs_Literal,A) # label(rdfs_lv_def) # label(axiom).  [clausify(12)].
% 0.43/1.01  32 -lv(A) | icext(uri_rdfs_Literal,A) # label(rdfs_lv_def) # label(axiom).  [clausify(12)].
% 0.43/1.01  33 iext(uri_rdf_type,A,uri_rdf_Property) | -ip(A) # label(rdf_type_ip) # label(axiom).  [clausify(4)].
% 0.43/1.01  34 -iext(A,B,C) | ip(A) # label(simple_iext_property) # label(axiom).  [clausify(1)].
% 0.43/1.01  35 -iext(uri_rdf_type,A,uri_rdf_Property) | ip(A) # label(rdf_type_ip) # label(axiom).  [clausify(4)].
% 0.43/1.01  Derived: iext(uri_rdf_type,A,uri_rdf_Property) | -iext(A,B,C).  [resolve(33,b,34,b)].
% 0.43/1.01  36 -iext(uri_rdfs_subPropertyOf,A,B) | ip(A) # label(rdfs_subpropertyof_main) # label(axiom).  [clausify(17)].
% 0.43/1.01  Derived: -iext(uri_rdfs_subPropertyOf,A,B) | iext(uri_rdf_type,A,uri_rdf_Property).  [resolve(36,b,33,b)].
% 0.43/1.01  37 -iext(uri_rdfs_subPropertyOf,A,B) | ip(B) # label(rdfs_subpropertyof_main) # label(axiom).  [clausify(17)].
% 0.43/1.01  Derived: -iext(uri_rdfs_subPropertyOf,A,B) | iext(uri_rdf_type,B,uri_rdf_Property).  [resolve(37,b,33,b)].
% 0.43/1.02  38 -ip(A) | iext(uri_rdfs_subPropertyOf,A,A) # label(rdfs_subpropertyof_reflex) # label(axiom).  [clausify(18)].
% 0.43/1.02  Derived: iext(uri_rdfs_subPropertyOf,A,A) | -iext(A,B,C).  [resolve(38,a,34,b)].
% 0.43/1.02  Derived: iext(uri_rdfs_subPropertyOf,A,A) | -iext(uri_rdf_type,A,uri_rdf_Property).  [resolve(38,a,35,b)].
% 0.43/1.02  Derived: iext(uri_rdfs_subPropertyOf,A,A) | -iext(uri_rdfs_subPropertyOf,A,B).  [resolve(38,a,36,b)].
% 0.43/1.02  Derived: iext(uri_rdfs_subPropertyOf,A,A) | -iext(uri_rdfs_subPropertyOf,B,A).  [resolve(38,a,37,b)].
% 0.43/1.02  
% 0.43/1.02  ============================== end predicate elimination =============
% 0.43/1.02  
% 0.43/1.02  Auto_denials:
% 0.43/1.02    % copying label testcase_conclusion_fullish_003_Blank_Nodes_for_Literals to answer in negative clause
% 0.43/1.02  
% 0.43/1.02  Term ordering decisions:
% 0.43/1.02  
% 0.43/1.02  % Assigning unary symbol literal_plain kb_weight 0 and highest precedence (39).
% 0.43/1.02  Function symbol KB weights:  uri_rdf_type=1. uri_rdfs_Resource=1. uri_rdfs_subClassOf=1. uri_rdfs_domain=1. uri_rdfs_range=1. uri_rdf_Property=1. uri_rdfs_subPropertyOf=1. uri_rdfs_Class=1. uri_rdfs_ContainerMembershipProperty=1. uri_rdf_List=1. uri_rdf__1=1. uri_rdf__2=1. uri_rdf__3=1. uri_rdfs_Literal=1. uri_rdf_first=1. uri_rdf_predicate=1. uri_rdf_rest=1. uri_rdf_subject=1. uri_rdf_value=1. uri_rdfs_Container=1. uri_rdfs_Datatype=1. uri_rdfs_Statement=1. uri_rdfs_isDefinedBy=1. uri_rdfs_member=1. uri_rdfs_seeAlso=1. uri_rdf_XMLLiteral=1. uri_rdf_object=1. uri_rdfs_comment=1. uri_rdfs_label=1. dat_str_foo=1. uri_ex_p=1. uri_ex_s=1. uri_rdf_Alt=1. uri_rdf_Bag=1. uri_rdf_nil=1. uri_rdfs_Seq=1. literal_plain=0.
% 0.43/1.02  
% 0.43/1.02  ============================== PROOF =================================
% 0.43/1.02  % SZS status Theorem
% 0.43/1.02  % SZS output start Refutation
% 0.43/1.02  
% 0.43/1.02  % Proof 1 at 0.02 (+ 0.00) seconds: testcase_conclusion_fullish_003_Blank_Nodes_for_Literals.
% 0.43/1.02  % Length of proof is 4.
% 0.43/1.02  % Level of proof is 2.
% 0.43/1.02  % Maximum clause weight is 5.000.
% 0.43/1.02  % Given clauses 0.
% 0.43/1.02  
% 0.43/1.02  20 -(exists BNODE_x iext(uri_ex_p,uri_ex_s,BNODE_x)) # label(testcase_conclusion_fullish_003_Blank_Nodes_for_Literals) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.43/1.02  98 iext(uri_ex_p,uri_ex_s,literal_plain(dat_str_foo)) # label(testcase_premise_fullish_003_Blank_Nodes_for_Literals) # label(axiom).  [assumption].
% 0.43/1.02  99 -iext(uri_ex_p,uri_ex_s,A) # label(testcase_conclusion_fullish_003_Blank_Nodes_for_Literals) # label(negated_conjecture) # answer(testcase_conclusion_fullish_003_Blank_Nodes_for_Literals).  [clausify(20)].
% 0.43/1.02  100 $F # answer(testcase_conclusion_fullish_003_Blank_Nodes_for_Literals).  [resolve(99,a,98,a)].
% 0.43/1.02  
% 0.43/1.02  % SZS output end Refutation
% 0.43/1.02  ============================== end of proof ==========================
% 0.43/1.02  
% 0.43/1.02  ============================== STATISTICS ============================
% 0.43/1.02  
% 0.43/1.02  Given=0. Generated=63. Kept=61. proofs=1.
% 0.43/1.02  Usable=0. Sos=0. Demods=0. Limbo=60, Disabled=81. Hints=0.
% 0.43/1.02  Megabytes=0.08.
% 0.43/1.02  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.43/1.02  
% 0.43/1.02  ============================== end of statistics =====================
% 0.43/1.02  
% 0.43/1.02  ============================== end of search =========================
% 0.43/1.02  
% 0.43/1.02  THEOREM PROVED
% 0.43/1.02  % SZS status Theorem
% 0.43/1.02  
% 0.43/1.02  Exiting with 1 proof.
% 0.43/1.02  
% 0.43/1.02  Process 27436 exit (max_proofs) Wed Jun  1 08:51:42 2022
% 0.43/1.02  Prover9 interrupted
%------------------------------------------------------------------------------