0.07/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command  : tptp2X_and_run_prover9 %d %s
0.14/0.33	% Computer : n027.cluster.edu
0.14/0.33	% Model    : x86_64 x86_64
0.14/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.33	% Memory   : 8042.1875MB
0.14/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.33	% CPULimit : 960
0.14/0.33	% WCLimit  : 120
0.14/0.33	% DateTime : Tue Aug  9 02:50:06 EDT 2022
0.14/0.34	% CPUTime  : 
0.45/1.02	============================== Prover9 ===============================
0.45/1.02	Prover9 (32) version 2009-11A, November 2009.
0.45/1.02	Process 9085 was started by sandbox2 on n027.cluster.edu,
0.45/1.02	Tue Aug  9 02:50:06 2022
0.45/1.02	The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 960 -f /tmp/Prover9_8696_n027.cluster.edu".
0.45/1.02	============================== end of head ===========================
0.45/1.02	
0.45/1.02	============================== INPUT =================================
0.45/1.02	
0.45/1.02	% Reading from file /tmp/Prover9_8696_n027.cluster.edu
0.45/1.02	
0.45/1.02	set(prolog_style_variables).
0.45/1.02	set(auto2).
0.45/1.02	    % set(auto2) -> set(auto).
0.45/1.02	    % set(auto) -> set(auto_inference).
0.45/1.02	    % set(auto) -> set(auto_setup).
0.45/1.02	    % set(auto_setup) -> set(predicate_elim).
0.45/1.02	    % set(auto_setup) -> assign(eq_defs, unfold).
0.45/1.02	    % set(auto) -> set(auto_limits).
0.45/1.02	    % set(auto_limits) -> assign(max_weight, "100.000").
0.45/1.02	    % set(auto_limits) -> assign(sos_limit, 20000).
0.45/1.02	    % set(auto) -> set(auto_denials).
0.45/1.02	    % set(auto) -> set(auto_process).
0.45/1.02	    % set(auto2) -> assign(new_constants, 1).
0.45/1.02	    % set(auto2) -> assign(fold_denial_max, 3).
0.45/1.02	    % set(auto2) -> assign(max_weight, "200.000").
0.45/1.02	    % set(auto2) -> assign(max_hours, 1).
0.45/1.02	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.45/1.02	    % set(auto2) -> assign(max_seconds, 0).
0.45/1.02	    % set(auto2) -> assign(max_minutes, 5).
0.45/1.02	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.45/1.02	    % set(auto2) -> set(sort_initial_sos).
0.45/1.02	    % set(auto2) -> assign(sos_limit, -1).
0.45/1.02	    % set(auto2) -> assign(lrs_ticks, 3000).
0.45/1.02	    % set(auto2) -> assign(max_megs, 400).
0.45/1.02	    % set(auto2) -> assign(stats, some).
0.45/1.02	    % set(auto2) -> clear(echo_input).
0.45/1.02	    % set(auto2) -> set(quiet).
0.45/1.02	    % set(auto2) -> clear(print_initial_clauses).
0.45/1.02	    % set(auto2) -> clear(print_given).
0.45/1.02	assign(lrs_ticks,-1).
0.45/1.02	assign(sos_limit,10000).
0.45/1.02	assign(order,kbo).
0.45/1.02	set(lex_order_vars).
0.45/1.02	clear(print_given).
0.45/1.02	
0.45/1.02	% formulas(sos).  % not echoed (9 formulas)
0.45/1.02	
0.45/1.02	============================== end of input ==========================
0.45/1.02	
0.45/1.02	% From the command line: assign(max_seconds, 960).
0.45/1.02	
0.45/1.02	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.45/1.02	
0.45/1.02	% Formulas that are not ordinary clauses:
0.45/1.02	1 (all P1 all P2 (iext(uri_rdfs_subPropertyOf,P1,P2) <-> ip(P2) & (all X all Y (iext(P1,X,Y) -> iext(P2,X,Y))) & ip(P1))) # label(owl_rdfsext_subpropertyof) # label(axiom) # label(non_clause).  [assumption].
0.45/1.02	2 (all Z all P all C (iext(uri_owl_onProperty,Z,P) & iext(uri_owl_someValuesFrom,Z,C) -> (all X ((exists Y (iext(P,X,Y) & icext(C,Y))) <-> icext(Z,X))))) # label(owl_restrict_somevaluesfrom) # label(axiom) # label(non_clause).  [assumption].
0.45/1.02	3 (all P1 all P2 (iext(uri_owl_inverseOf,P1,P2) <-> ip(P1) & (all X all Y (iext(P1,X,Y) <-> iext(P2,Y,X))) & ip(P2))) # label(owl_inv) # label(axiom) # label(non_clause).  [assumption].
0.45/1.02	4 (exists BNODE_r exists BNODE_i exists BNODE_l1 exists BNODE_l2 exists BNODE_l3 (iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs) & iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique) & iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty) & iext(uri_rdf_rest,BNODE_l1,BNODE_l2) & iext(uri_rdf_first,BNODE_l2,uri_ex_sameCliqueAs) & iext(uri_owl_inverseOf,BNODE_i,uri_rdf_type) & iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique) & iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang) & iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang) & iext(uri_rdf_rest,BNODE_l3,uri_rdf_nil) & iext(uri_rdf_first,BNODE_l3,BNODE_i) & iext(uri_rdf_rest,BNODE_l2,BNODE_l3) & iext(uri_rdf_first,BNODE_l1,uri_rdf_type) & iext(uri_owl_propertyChainAxiom,uri_foaf_knows,BNODE_l1) & iext(uri_owl_someValuesFrom,BNODE_r,uri_ex_Clique) & iext(uri_owl_onProperty,BNODE_r,uri_ex_sameCliqueAs) & iext(uri_rdf_type,BNODE_r,uri_owl_Restriction) & iext(uri_rdfs_subClassOf,uri_ex_Clique,BNODE_r) & iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class))) # label(testcase_premise_fullish_013_Cliques) # label(axiom) # label(non_clause).  [assumption].
0.45/1.02	5 (all P all S1 all P1 all S2 all P2 all S3 all P3 (iext(uri_rdf_rest,S1,S2) & iext(uri_rdf_first,S2,P2) & iext(uri_rdf_rest,S3,uri_rdf_nil) & iext(uri_rdf_first,S3,P3) & iext(uri_rdf_rest,S2,S3) & iext(uri_rdf_first,S1,P1) -> (iext(uri_owl_propertyChainAxiom,P,S1) <-> ip(P) & ip(P2) & (all Y0 all Y1 all Y2 all Y3 (iext(P1,Y0,Y1) & iext(P3,Y2,Y3) & iext(P2,Y1,Y2) -> iext(P,Y0,Y3))) & ip(P3) & ip(P1)))) # label(owl_chain_003) # label(axiom) # label(non_clause).  [assumption].
93.33/93.57	6 (all X all Y (X = Y <-> iext(uri_owl_sameAs,X,Y))) # label(owl_eqdis_sameas) # label(axiom) # label(non_clause).  [assumption].
93.33/93.57	7 (all X all C (icext(C,X) <-> iext(uri_rdf_type,X,C))) # label(rdfs_cext_def) # label(axiom) # label(non_clause).  [assumption].
93.33/93.57	8 (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].
93.33/93.57	
93.33/93.57	============================== end of process non-clausal formulas ===
93.33/93.57	
93.33/93.57	============================== PROCESS INITIAL CLAUSES ===============
93.33/93.57	
93.33/93.57	============================== PREDICATE ELIMINATION =================
93.33/93.57	
93.33/93.57	============================== end predicate elimination =============
93.33/93.57	
93.33/93.57	Auto_denials:  (non-Horn, no changes).
93.33/93.57	
93.33/93.57	Term ordering decisions:
93.33/93.57	Function symbol KB weights:  uri_rdf_first=1. uri_rdf_rest=1. uri_owl_propertyChainAxiom=1. uri_rdf_nil=1. uri_rdf_type=1. uri_owl_inverseOf=1. uri_rdfs_subClassOf=1. uri_rdfs_subPropertyOf=1. uri_ex_Clique=1. uri_ex_sameCliqueAs=1. uri_owl_onProperty=1. uri_owl_someValuesFrom=1. uri_ex_JoesGang=1. uri_owl_sameAs=1. uri_foaf_knows=1. uri_ex_alice=1. uri_ex_bob=1. uri_owl_Class=1. uri_owl_ObjectProperty=1. uri_owl_Restriction=1. uri_rdfs_range=1. c1=1. c2=1. c3=1. c4=1. c5=1. f1=1. f2=1. f4=1. f5=1. f10=1. f3=1. f6=1. f7=1. f8=1. f9=1.
93.33/93.57	
93.33/93.57	============================== end of process initial clauses ========
93.33/93.57	
93.33/93.57	============================== CLAUSES FOR SEARCH ====================
93.33/93.57	
93.33/93.57	============================== end of clauses for search =============
93.33/93.57	
93.33/93.57	============================== SEARCH ================================
93.33/93.57	
93.33/93.57	% Starting search at 0.99 seconds.
93.33/93.57	
93.33/93.57	Low Water (displace): id=2350, wt=40.000
93.33/93.57	
93.33/93.57	Low Water (displace): id=10122, wt=32.000
93.33/93.57	
93.33/93.57	Low Water (displace): id=10233, wt=28.000
93.33/93.57	
93.33/93.57	Low Water (displace): id=13201, wt=24.000
93.33/93.57	
93.33/93.57	Low Water (keep): wt=50.000, iters=6250
93.33/93.57	
93.33/93.57	Low Water (keep): wt=48.000, iters=6250
93.33/93.57	
93.33/93.57	Low Water (keep): wt=44.000, iters=6250
93.33/93.57	
93.33/93.57	Low Water (keep): wt=36.000, iters=6249
93.33/93.57	
93.33/93.57	Low Water (keep): wt=32.000, iters=6249
93.33/93.57	
93.33/93.57	Low Water (keep): wt=28.000, iters=4353
93.33/93.57	
93.33/93.57	NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 152 (0.00 of 7.04 sec).
93.33/93.57	
93.33/93.57	Low Water (keep): wt=24.000, iters=3386
93.33/93.57	
93.33/93.57	============================== PROOF =================================
93.33/93.57	% SZS status Theorem
93.33/93.57	% SZS output start Refutation
93.33/93.57	
93.33/93.57	% Proof 1 at 92.50 (+ 0.07) seconds.
93.33/93.57	% Length of proof is 44.
93.33/93.57	% Level of proof is 7.
93.33/93.57	% Maximum clause weight is 44.000.
93.33/93.57	% Given clauses 2200.
93.33/93.57	
93.33/93.57	1 (all P1 all P2 (iext(uri_rdfs_subPropertyOf,P1,P2) <-> ip(P2) & (all X all Y (iext(P1,X,Y) -> iext(P2,X,Y))) & ip(P1))) # label(owl_rdfsext_subpropertyof) # label(axiom) # label(non_clause).  [assumption].
93.33/93.57	2 (all Z all P all C (iext(uri_owl_onProperty,Z,P) & iext(uri_owl_someValuesFrom,Z,C) -> (all X ((exists Y (iext(P,X,Y) & icext(C,Y))) <-> icext(Z,X))))) # label(owl_restrict_somevaluesfrom) # label(axiom) # label(non_clause).  [assumption].
93.33/93.57	3 (all P1 all P2 (iext(uri_owl_inverseOf,P1,P2) <-> ip(P1) & (all X all Y (iext(P1,X,Y) <-> iext(P2,Y,X))) & ip(P2))) # label(owl_inv) # label(axiom) # label(non_clause).  [assumption].
93.33/93.57	4 (exists BNODE_r exists BNODE_i exists BNODE_l1 exists BNODE_l2 exists BNODE_l3 (iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs) & iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique) & iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty) & iext(uri_rdf_rest,BNODE_l1,BNODE_l2) & iext(uri_rdf_first,BNODE_l2,uri_ex_sameCliqueAs) & iext(uri_owl_inverseOf,BNODE_i,uri_rdf_type) & iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique) & iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang) & iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang) & iext(uri_rdf_rest,BNODE_l3,uri_rdf_nil) & iext(uri_rdf_first,BNODE_l3,BNODE_i) & iext(uri_rdf_rest,BNODE_l2,BNODE_l3) & iext(uri_rdf_first,BNODE_l1,uri_rdf_type) & iext(uri_owl_propertyChainAxiom,uri_foaf_knows,BNODE_l1) & iext(uri_owl_someValuesFrom,BNODE_r,uri_ex_Clique) & iext(uri_owl_onProperty,BNODE_r,uri_ex_sameCliqueAs) & iext(uri_rdf_type,BNODE_r,uri_owl_Restriction) & iext(uri_rdfs_subClassOf,uri_ex_Clique,BNODE_r) & iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class))) # label(testcase_premise_fullish_013_Cliques) # label(axiom) # label(non_clause).  [assumption].
93.33/93.57	5 (all P all S1 all P1 all S2 all P2 all S3 all P3 (iext(uri_rdf_rest,S1,S2) & iext(uri_rdf_first,S2,P2) & iext(uri_rdf_rest,S3,uri_rdf_nil) & iext(uri_rdf_first,S3,P3) & iext(uri_rdf_rest,S2,S3) & iext(uri_rdf_first,S1,P1) -> (iext(uri_owl_propertyChainAxiom,P,S1) <-> ip(P) & ip(P2) & (all Y0 all Y1 all Y2 all Y3 (iext(P1,Y0,Y1) & iext(P3,Y2,Y3) & iext(P2,Y1,Y2) -> iext(P,Y0,Y3))) & ip(P3) & ip(P1)))) # label(owl_chain_003) # label(axiom) # label(non_clause).  [assumption].
93.33/93.57	6 (all X all Y (X = Y <-> iext(uri_owl_sameAs,X,Y))) # label(owl_eqdis_sameas) # label(axiom) # label(non_clause).  [assumption].
93.33/93.57	7 (all X all C (icext(C,X) <-> iext(uri_rdf_type,X,C))) # label(rdfs_cext_def) # label(axiom) # label(non_clause).  [assumption].
93.33/93.57	8 (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].
93.33/93.57	9 iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs) # label(testcase_premise_fullish_013_Cliques) # label(axiom).  [clausify(4)].
93.33/93.57	12 iext(uri_rdf_rest,c3,c4) # label(testcase_premise_fullish_013_Cliques) # label(axiom).  [clausify(4)].
93.33/93.57	13 iext(uri_rdf_first,c4,uri_ex_sameCliqueAs) # label(testcase_premise_fullish_013_Cliques) # label(axiom).  [clausify(4)].
93.33/93.57	14 iext(uri_owl_inverseOf,c2,uri_rdf_type) # label(testcase_premise_fullish_013_Cliques) # label(axiom).  [clausify(4)].
93.33/93.57	15 iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique) # label(testcase_premise_fullish_013_Cliques) # label(axiom).  [clausify(4)].
93.33/93.57	16 iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang) # label(testcase_premise_fullish_013_Cliques) # label(axiom).  [clausify(4)].
93.33/93.57	17 iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang) # label(testcase_premise_fullish_013_Cliques) # label(axiom).  [clausify(4)].
93.33/93.57	18 iext(uri_rdf_rest,c5,uri_rdf_nil) # label(testcase_premise_fullish_013_Cliques) # label(axiom).  [clausify(4)].
93.33/93.57	19 iext(uri_rdf_first,c5,c2) # label(testcase_premise_fullish_013_Cliques) # label(axiom).  [clausify(4)].
93.33/93.57	20 iext(uri_rdf_rest,c4,c5) # label(testcase_premise_fullish_013_Cliques) # label(axiom).  [clausify(4)].
93.33/93.57	21 iext(uri_rdf_first,c3,uri_rdf_type) # label(testcase_premise_fullish_013_Cliques) # label(axiom).  [clausify(4)].
93.33/93.57	22 iext(uri_owl_propertyChainAxiom,uri_foaf_knows,c3) # label(testcase_premise_fullish_013_Cliques) # label(axiom).  [clausify(4)].
93.33/93.57	23 iext(uri_owl_someValuesFrom,c1,uri_ex_Clique) # label(testcase_premise_fullish_013_Cliques) # label(axiom).  [clausify(4)].
93.33/93.57	24 iext(uri_owl_onProperty,c1,uri_ex_sameCliqueAs) # label(testcase_premise_fullish_013_Cliques) # label(axiom).  [clausify(4)].
93.33/93.57	26 iext(uri_rdfs_subClassOf,uri_ex_Clique,c1) # label(testcase_premise_fullish_013_Cliques) # label(axiom).  [clausify(4)].
93.33/93.57	28 -iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob) # label(testcase_conclusion_fullish_013_Cliques) # label(negated_conjecture).  [assumption].
93.33/93.57	36 A = B | -iext(uri_owl_sameAs,B,A) # label(owl_eqdis_sameas) # label(axiom).  [clausify(6)].
93.33/93.57	38 icext(A,B) | -iext(uri_rdf_type,B,A) # label(rdfs_cext_def) # label(axiom).  [clausify(7)].
93.33/93.57	39 -iext(uri_rdfs_subClassOf,A,B) | -icext(A,C) | icext(B,C) # label(owl_rdfsext_subclassof) # label(axiom).  [clausify(8)].
93.33/93.57	40 -iext(uri_rdfs_subPropertyOf,A,B) | -iext(A,C,D) | iext(B,C,D) # label(owl_rdfsext_subpropertyof) # label(axiom).  [clausify(1)].
93.33/93.57	42 -iext(uri_owl_inverseOf,A,B) | iext(A,C,D) | -iext(B,D,C) # label(owl_inv) # label(axiom).  [clausify(3)].
93.33/93.57	49 -iext(uri_owl_onProperty,A,B) | -iext(uri_owl_someValuesFrom,A,C) | iext(B,D,f3(A,B,C,D)) | -icext(A,D) # label(owl_restrict_somevaluesfrom) # label(axiom).  [clausify(2)].
93.33/93.57	56 -iext(uri_rdf_rest,A,B) | -iext(uri_rdf_first,B,C) | -iext(uri_rdf_rest,D,uri_rdf_nil) | -iext(uri_rdf_first,D,E) | -iext(uri_rdf_rest,B,D) | -iext(uri_rdf_first,A,F) | -iext(uri_owl_propertyChainAxiom,V6,A) | -iext(F,V7,V8) | -iext(E,V9,V10) | -iext(C,V8,V9) | iext(V6,V7,V10) # label(owl_chain_003) # label(axiom).  [clausify(5)].
93.33/93.57	2034 icext(uri_ex_Clique,uri_ex_JoesGang).  [resolve(38,b,15,a)].
93.33/93.57	2036 -icext(uri_ex_Clique,A) | icext(c1,A).  [resolve(39,a,26,a)].
93.33/93.57	2037 -iext(uri_ex_sameCliqueAs,A,B) | iext(uri_owl_sameAs,A,B).  [resolve(40,a,9,a)].
93.33/93.57	2077 iext(c2,A,B) | -iext(uri_rdf_type,B,A).  [resolve(42,a,14,a)].
93.33/93.57	2121 -iext(uri_owl_someValuesFrom,c1,A) | iext(uri_ex_sameCliqueAs,B,f3(c1,uri_ex_sameCliqueAs,A,B)) | -icext(c1,B).  [resolve(49,a,24,a)].
93.33/93.57	16977 icext(c1,uri_ex_JoesGang).  [resolve(2036,a,2034,a)].
93.33/93.57	17036 iext(c2,uri_ex_JoesGang,uri_ex_bob).  [resolve(2077,b,17,a)].
93.33/93.57	17717 iext(uri_ex_sameCliqueAs,A,f3(c1,uri_ex_sameCliqueAs,uri_ex_Clique,A)) | -icext(c1,A).  [resolve(2121,a,23,a)].
93.33/93.57	17722 iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,f3(c1,uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang)).  [resolve(17717,b,16977,a)].
93.33/93.57	17723 iext(uri_owl_sameAs,uri_ex_JoesGang,f3(c1,uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang)).  [resolve(17722,a,2037,a)].
93.33/93.57	17728 -iext(c2,f3(c1,uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang),uri_ex_bob).  [ur(56,a,12,a,b,13,a,c,18,a,d,19,a,e,20,a,f,21,a,g,22,a,h,16,a,j,17722,a,k,28,a)].
93.33/93.57	17734 f3(c1,uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang) = uri_ex_JoesGang.  [resolve(17723,a,36,b)].
93.33/93.57	17735 $F.  [back_rewrite(17728),rewrite([17734(6)]),unit_del(a,17036)].
93.33/93.57	
93.33/93.57	% SZS output end Refutation
93.33/93.57	============================== end of proof ==========================
93.33/93.57	
93.33/93.57	============================== STATISTICS ============================
93.33/93.57	
93.33/93.57	Given=2200. Generated=98176. Kept=17726. proofs=1.
93.33/93.57	Usable=2200. Sos=9120. Demods=1. Limbo=1, Disabled=6457. Hints=0.
93.33/93.57	Megabytes=29.37.
93.33/93.57	User_CPU=92.50, System_CPU=0.07, Wall_clock=93.
93.33/93.57	
93.33/93.57	============================== end of statistics =====================
93.33/93.57	
93.33/93.57	============================== end of search =========================
93.33/93.57	
93.33/93.57	THEOREM PROVED
93.33/93.57	% SZS status Theorem
93.33/93.57	
93.33/93.57	Exiting with 1 proof.
93.33/93.57	
93.33/93.57	Process 9085 exit (max_proofs) Tue Aug  9 02:51:39 2022
93.33/93.57	Prover9 interrupted
93.33/93.58	EOF