0.00/0.04	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : tptp2X_and_run_prover9 %d %s
0.03/0.23	% Computer   : n166.star.cs.uiowa.edu
0.03/0.23	% Model      : x86_64 x86_64
0.03/0.23	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.03/0.23	% Memory     : 32218.625MB
0.03/0.23	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.03/0.23	% CPULimit   : 300
0.03/0.23	% DateTime   : Sat Jul 14 04:59:09 CDT 2018
0.03/0.23	% CPUTime    : 
0.06/0.47	============================== Prover9 ===============================
0.06/0.47	Prover9 (32) version 2009-11A, November 2009.
0.06/0.47	Process 53968 was started by sandbox on n166.star.cs.uiowa.edu,
0.06/0.47	Sat Jul 14 04:59:10 2018
0.06/0.47	The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_53936_n166.star.cs.uiowa.edu".
0.06/0.47	============================== end of head ===========================
0.06/0.47	
0.06/0.47	============================== INPUT =================================
0.06/0.47	
0.06/0.47	% Reading from file /tmp/Prover9_53936_n166.star.cs.uiowa.edu
0.06/0.47	
0.06/0.47	set(prolog_style_variables).
0.06/0.47	set(auto2).
0.06/0.47	    % set(auto2) -> set(auto).
0.06/0.47	    % set(auto) -> set(auto_inference).
0.06/0.47	    % set(auto) -> set(auto_setup).
0.06/0.47	    % set(auto_setup) -> set(predicate_elim).
0.06/0.47	    % set(auto_setup) -> assign(eq_defs, unfold).
0.06/0.47	    % set(auto) -> set(auto_limits).
0.06/0.47	    % set(auto_limits) -> assign(max_weight, "100.000").
0.06/0.47	    % set(auto_limits) -> assign(sos_limit, 20000).
0.06/0.47	    % set(auto) -> set(auto_denials).
0.06/0.47	    % set(auto) -> set(auto_process).
0.06/0.47	    % set(auto2) -> assign(new_constants, 1).
0.06/0.47	    % set(auto2) -> assign(fold_denial_max, 3).
0.06/0.47	    % set(auto2) -> assign(max_weight, "200.000").
0.06/0.47	    % set(auto2) -> assign(max_hours, 1).
0.06/0.47	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.06/0.47	    % set(auto2) -> assign(max_seconds, 0).
0.06/0.47	    % set(auto2) -> assign(max_minutes, 5).
0.06/0.47	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.06/0.47	    % set(auto2) -> set(sort_initial_sos).
0.06/0.47	    % set(auto2) -> assign(sos_limit, -1).
0.06/0.47	    % set(auto2) -> assign(lrs_ticks, 3000).
0.06/0.47	    % set(auto2) -> assign(max_megs, 400).
0.06/0.47	    % set(auto2) -> assign(stats, some).
0.06/0.47	    % set(auto2) -> clear(echo_input).
0.06/0.47	    % set(auto2) -> set(quiet).
0.06/0.47	    % set(auto2) -> clear(print_initial_clauses).
0.06/0.47	    % set(auto2) -> clear(print_given).
0.06/0.47	assign(lrs_ticks,-1).
0.06/0.47	assign(sos_limit,10000).
0.06/0.47	assign(order,kbo).
0.06/0.47	set(lex_order_vars).
0.06/0.47	clear(print_given).
0.06/0.47	
0.06/0.47	% formulas(sos).  % not echoed (33 formulas)
0.06/0.47	
0.06/0.47	============================== end of input ==========================
0.06/0.47	
0.06/0.47	% From the command line: assign(max_seconds, 300).
0.06/0.47	
0.06/0.47	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.06/0.47	
0.06/0.47	% Formulas that are not ordinary clauses:
0.06/0.47	1 (all Ax all C (status(Ax,C,unp) <-> (-(exists I1 model(I1,Ax)) -> -(exists I2 model(I2,C))))) # label(unp) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	2 (all Ax all C (status(Ax,C,wtc) <-> (exists I1 model(I1,Ax)) & (exists I2 -model(I2,Ax)) & (all I3 model(I3,C)))) # label(wtc) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	3 (all Ax all C (status(Ax,C,sap) <-> ((exists I1 model(I1,Ax)) -> (exists I2 model(I2,C))))) # label(sap) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	4 (all Ax all C (((exists I2 model(I2,C)) <-> (exists I1 model(I1,Ax))) <-> status(Ax,C,esa))) # label(esa) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	5 (all Ax all C ((all I1 (model(I1,Ax) -> model(I1,C))) <-> status(Ax,C,thm))) # label(thm) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	6 (all Ax all C (-(exists I1 model(I1,Ax)) & (exists I2 model(I2,C)) <-> status(Ax,C,sca))) # label(sca) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	7 (all Ax all C (status(Ax,C,wth) <-> (exists I1 model(I1,Ax)) & (exists I4 -model(I4,C)) & (exists I3 (model(I3,C) & -model(I3,Ax))) & (all I2 (model(I2,Ax) -> model(I2,C))))) # label(wth) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	8 (all Ax all C (status(Ax,C,eth) <-> (all I3 (model(I3,C) <-> model(I3,Ax))) & (exists I2 -model(I2,Ax)) & (exists I1 model(I1,Ax)))) # label(eth) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	9 (all Ax all C ((exists I1 (model(I1,Ax) & model(I1,C))) <-> status(Ax,C,sat))) # label(sat) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	10 (all Ax all C ((exists I3 -model(I3,C)) & (exists I2 model(I2,C)) & -(exists I1 model(I1,Ax)) <-> status(Ax,C,wca))) # label(wca) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	11 (all Ax all C ((exists I1 (model(I1,Ax) & model(I1,not(C)))) <-> status(Ax,C,csa))) # label(csa) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	12 (all Ax all C (status(Ax,C,cax) <-> -(exists I1 model(I1,Ax)))) # label(cax) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	13 (all Ax all C (status(Ax,C,tca) <-> -(exists I1 model(I1,Ax)) & (all I2 model(I2,C)))) # label(tca) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	14 (all Ax all C ((all I1 (model(I1,Ax) & model(I1,C))) <-> status(Ax,C,tau))) # label(tau) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	15 (all Ax all C (status(Ax,C,tac) <-> (exists I1 model(I1,Ax)) & (all I2 model(I2,C)))) # label(tac) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	16 (all Ax all C (status(Ax,C,uns) <-> (all I2 model(I2,not(C))) & (all I1 model(I1,Ax)))) # label(uns) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	17 (all Ax all C (status(Ax,C,wec) <-> (exists I1 model(I1,Ax)) & (exists I3 (-model(I3,Ax) & model(I3,C))) & (all I2 (model(I2,Ax) -> model(I2,C))))) # label(wec) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	18 (all Ax all C ((exists I1 (model(I1,C) & model(I1,Ax))) & (exists I2 (model(I2,Ax) & model(I2,not(C)))) <-> status(Ax,C,noc))) # label(noc) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	19 (all Ax all C (status(Ax,C,eqv) <-> (all I2 (model(I2,Ax) <-> model(I2,C))) & (exists I1 model(I1,Ax)))) # label(eqv) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	20 (all S1 all S2 ((all Ax all C -(status(Ax,C,S2) <-> status(Ax,C,S1))) <-> xora(S1,S2))) # label(xora) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	21 (exists I1 exists Ax exists C (-model(I1,C) & (exists I2 model(I2,C)) & model(I1,Ax))) # label(non_thm_spt) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	22 (all S1 all S2 (nevera(S1,S2) <-> (all Ax all C (status(Ax,C,S1) -> -status(Ax,C,S2))))) # label(nevera) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	23 (exists F ((exists I2 -model(I2,F)) & (exists I1 model(I1,F)))) # label(satisfiable) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	24 (all S1 all S2 (isa(S1,S2) <-> (all Ax all C (status(Ax,C,S1) -> status(Ax,C,S2))))) # label(isa) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	25 (all S1 all S2 (nota(S1,S2) <-> (exists Ax exists C (status(Ax,C,S1) & -status(Ax,C,S2))))) # label(nota) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	26 (exists Ax exists C ((exists I2 (-model(I2,C) | -model(I2,Ax))) & (exists I1 (model(I1,C) & model(I1,Ax))))) # label(sat_non_taut_pair) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	27 (exists Ax exists C ((all I2 (model(I2,Ax) -> model(I2,C))) & (exists I3 (-model(I3,Ax) & model(I3,C))) & (exists I4 -model(I4,C)) & (exists I1 model(I1,Ax)))) # label(mixed_pair) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	28 (all S1 all S2 ((exists Ax exists C (status(Ax,C,S1) & status(Ax,C,S2))) <-> mighta(S1,S2))) # label(mighta) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	29 (exists F all I -model(I,F)) # label(contradiction) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	30 (exists F all I model(I,F)) # label(tautology) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	31 (all I all F (-model(I,not(F)) <-> model(I,F))) # label(not) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	32 (all I all F -(model(I,F) <-> model(I,not(F)))) # label(completeness) # label(axiom) # label(non_clause).  [assumption].
0.06/0.47	
0.06/0.47	============================== end of process non-clausal formulas ===
0.06/0.47	
0.06/0.47	============================== PROCESS INITIAL CLAUSES ===============
0.06/0.47	
0.06/0.47	============================== PREDICATE ELIMINATION =================
0.06/0.47	33 status(A,B,C) | status(A,B,D) | -xora(D,C) # label(xora) # label(axiom).  [clausify(20)].
0.06/0.47	34 -status(f42(A,B),f43(A,B),B) | status(f42(A,B),f43(A,B),A) | xora(A,B) # label(xora) # label(axiom).  [clausify(20)].
0.06/0.47	35 status(f42(A,B),f43(A,B),B) | -status(f42(A,B),f43(A,B),A) | xora(A,B) # label(xora) # label(axiom).  [clausify(20)].
0.06/0.47	Derived: status(A,B,C) | status(A,B,D) | -status(f42(D,C),f43(D,C),C) | status(f42(D,C),f43(D,C),D).  [resolve(33,c,34,c)].
0.06/0.47	Derived: status(A,B,C) | status(A,B,D) | status(f42(D,C),f43(D,C),C) | -status(f42(D,C),f43(D,C),D).  [resolve(33,c,35,c)].
0.06/0.47	36 -status(A,B,C) | -status(A,B,D) | -xora(D,C) # label(xora) # label(axiom).  [clausify(20)].
1.72/1.94	Derived: -status(A,B,C) | -status(A,B,D) | -status(f42(D,C),f43(D,C),C) | status(f42(D,C),f43(D,C),D).  [resolve(36,c,34,c)].
1.72/1.94	Derived: -status(A,B,C) | -status(A,B,D) | status(f42(D,C),f43(D,C),C) | -status(f42(D,C),f43(D,C),D).  [resolve(36,c,35,c)].
1.72/1.94	37 nevera(A,B) | status(f44(A,B),f45(A,B),A) # label(nevera) # label(axiom).  [clausify(22)].
1.72/1.94	38 -nevera(A,B) | -status(C,D,A) | -status(C,D,B) # label(nevera) # label(axiom).  [clausify(22)].
1.72/1.94	Derived: status(f44(A,B),f45(A,B),A) | -status(C,D,A) | -status(C,D,B).  [resolve(37,a,38,a)].
1.72/1.94	39 nevera(A,B) | status(f44(A,B),f45(A,B),B) # label(nevera) # label(axiom).  [clausify(22)].
1.72/1.94	Derived: status(f44(A,B),f45(A,B),B) | -status(C,D,A) | -status(C,D,B).  [resolve(39,a,38,a)].
1.72/1.94	40 isa(A,B) | status(f46(A,B),f47(A,B),A) # label(isa) # label(axiom).  [clausify(24)].
1.72/1.94	41 -isa(A,B) | -status(C,D,A) | status(C,D,B) # label(isa) # label(axiom).  [clausify(24)].
1.72/1.94	Derived: status(f46(A,B),f47(A,B),A) | -status(C,D,A) | status(C,D,B).  [resolve(40,a,41,a)].
1.72/1.94	42 isa(A,B) | -status(f46(A,B),f47(A,B),B) # label(isa) # label(axiom).  [clausify(24)].
1.72/1.94	Derived: -status(f46(A,B),f47(A,B),B) | -status(C,D,A) | status(C,D,B).  [resolve(42,a,41,a)].
1.72/1.94	43 -isa(eqv,thm) # label(isa_eqv_thm) # label(negated_conjecture).  [assumption].
1.72/1.94	Derived: status(f46(eqv,thm),f47(eqv,thm),eqv).  [resolve(43,a,40,a)].
1.72/1.94	Derived: -status(f46(eqv,thm),f47(eqv,thm),thm).  [resolve(43,a,42,a)].
1.72/1.94	44 nota(A,B) | -status(C,D,A) | status(C,D,B) # label(nota) # label(axiom).  [clausify(25)].
1.72/1.94	45 -nota(A,B) | status(f48(A,B),f49(A,B),A) # label(nota) # label(axiom).  [clausify(25)].
1.72/1.94	46 -nota(A,B) | -status(f48(A,B),f49(A,B),B) # label(nota) # label(axiom).  [clausify(25)].
1.72/1.94	Derived: -status(A,B,C) | status(A,B,D) | status(f48(C,D),f49(C,D),C).  [resolve(44,a,45,a)].
1.72/1.94	Derived: -status(A,B,C) | status(A,B,D) | -status(f48(C,D),f49(C,D),D).  [resolve(44,a,46,a)].
1.72/1.94	47 status(f50(A,B),f51(A,B),A) | -mighta(A,B) # label(mighta) # label(axiom).  [clausify(28)].
1.72/1.94	48 -status(A,B,C) | -status(A,B,D) | mighta(C,D) # label(mighta) # label(axiom).  [clausify(28)].
1.72/1.94	Derived: status(f50(A,B),f51(A,B),A) | -status(C,D,A) | -status(C,D,B).  [resolve(47,b,48,c)].
1.72/1.94	49 status(f50(A,B),f51(A,B),B) | -mighta(A,B) # label(mighta) # label(axiom).  [clausify(28)].
1.72/1.94	Derived: status(f50(A,B),f51(A,B),B) | -status(C,D,A) | -status(C,D,B).  [resolve(49,b,48,c)].
1.72/1.94	
1.72/1.94	============================== end predicate elimination =============
1.72/1.94	
1.72/1.94	Auto_denials:  (non-Horn, no changes).
1.72/1.94	
1.72/1.94	Term ordering decisions:
1.72/1.94	
1.72/1.94	% Assigning unary symbol not kb_weight 0 and highest precedence (91).
1.72/1.94	Function symbol KB weights:  eqv=1. eth=1. noc=1. thm=1. wec=1. wth=1. esa=1. csa=1. sap=1. sat=1. tac=1. tau=1. unp=1. uns=1. wtc=1. sca=1. tca=1. wca=1. cax=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=1. c13=1. c14=1. c15=1. c16=1. c17=1. c18=1. f1=1. f2=1. f3=1. f4=1. f5=1. f6=1. f7=1. f8=1. f9=1. f10=1. f11=1. f12=1. f13=1. f14=1. f15=1. f16=1. f17=1. f18=1. f19=1. f20=1. f21=1. f22=1. f23=1. f24=1. f25=1. f26=1. f27=1. f28=1. f29=1. f30=1. f31=1. f32=1. f33=1. f34=1. f35=1. f36=1. f37=1. f38=1. f39=1. f40=1. f41=1. f42=1. f43=1. f44=1. f45=1. f46=1. f47=1. f48=1. f49=1. f50=1. f51=1. not=0.
1.72/1.94	
1.72/1.94	============================== end of process initial clauses ========
1.72/1.94	
1.72/1.94	============================== CLAUSES FOR SEARCH ====================
1.72/1.94	
1.72/1.94	============================== end of clauses for search =============
1.72/1.94	
1.72/1.94	============================== SEARCH ================================
1.72/1.94	
1.72/1.94	% Starting search at 0.02 seconds.
1.72/1.94	
1.72/1.94	Low Water (keep): wt=24.000, iters=3398
1.72/1.94	
1.72/1.94	Low Water (keep): wt=21.000, iters=3361
1.72/1.94	
1.72/1.94	Low Water (keep): wt=20.000, iters=3358
1.72/1.94	
1.72/1.94	Low Water (keep): wt=18.000, iters=3334
1.72/1.94	
1.72/1.94	Low Water (keep): wt=17.000, iters=3333
1.72/1.94	
1.72/1.94	NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 59 (0.00 of 0.85 sec).
1.72/1.94	
1.72/1.94	Low Water (keep): wt=16.000, iters=3334
1.72/1.94	
1.72/1.94	Low Water (keep): wt=15.000, iters=3339
1.72/1.94	
1.72/1.94	Low Water (keep): wt=14.000, iters=3341
1.72/1.94	
1.72/1.94	Low Water (keep): wt=13.000, iters=3380
1.72/1.94	
1.72/1.94	Low Water (displace): id=11089, wt=12.000
1.72/1.94	
1.72/1.94	Low Water (displace): id=11091, wt=11.000
1.72/1.94	
1.72/1.94	Low Water (displace): id=11104, wt=10.000
25.42/25.65	
25.42/25.65	Low Water (displace): id=11107, wt=9.000
25.42/25.65	
25.42/25.65	Low Water (displace): id=13392, wt=7.000
25.42/25.65	
25.42/25.65	Low Water (keep): wt=12.000, iters=3335
25.42/25.65	
25.42/25.65	Low Water (keep): wt=11.000, iters=3997
25.42/25.65	
25.42/25.65	Low Water (keep): wt=10.000, iters=3413
25.42/25.65	
25.42/25.65	Low Water (keep): wt=9.000, iters=5692
25.42/25.65	
25.42/25.65	============================== PROOF =================================
25.42/25.65	% SZS status Theorem
25.42/25.65	% SZS output start Refutation
25.42/25.65	
25.42/25.65	% Proof 1 at 23.69 (+ 1.49) seconds.
25.42/25.65	% Length of proof is 15.
25.42/25.65	% Level of proof is 5.
25.42/25.65	% Maximum clause weight is 11.000.
25.42/25.65	% Given clauses 24468.
25.42/25.65	
25.42/25.65	5 (all Ax all C ((all I1 (model(I1,Ax) -> model(I1,C))) <-> status(Ax,C,thm))) # label(thm) # label(axiom) # label(non_clause).  [assumption].
25.42/25.65	19 (all Ax all C (status(Ax,C,eqv) <-> (all I2 (model(I2,Ax) <-> model(I2,C))) & (exists I1 model(I1,Ax)))) # label(eqv) # label(axiom) # label(non_clause).  [assumption].
25.42/25.65	24 (all S1 all S2 (isa(S1,S2) <-> (all Ax all C (status(Ax,C,S1) -> status(Ax,C,S2))))) # label(isa) # label(axiom) # label(non_clause).  [assumption].
25.42/25.65	40 isa(A,B) | status(f46(A,B),f47(A,B),A) # label(isa) # label(axiom).  [clausify(24)].
25.42/25.65	42 isa(A,B) | -status(f46(A,B),f47(A,B),B) # label(isa) # label(axiom).  [clausify(24)].
25.42/25.65	43 -isa(eqv,thm) # label(isa_eqv_thm) # label(negated_conjecture).  [assumption].
25.42/25.65	64 model(f12(A,B),A) | status(A,B,thm) # label(thm) # label(axiom).  [clausify(5)].
25.42/25.65	65 -model(f12(A,B),B) | status(A,B,thm) # label(thm) # label(axiom).  [clausify(5)].
25.42/25.65	118 -status(A,B,eqv) | -model(C,A) | model(C,B) # label(eqv) # label(axiom).  [clausify(19)].
25.42/25.65	148 status(f46(eqv,thm),f47(eqv,thm),eqv).  [resolve(43,a,40,a)].
25.42/25.65	149 -status(f46(eqv,thm),f47(eqv,thm),thm).  [resolve(43,a,42,a)].
25.42/25.65	563 -model(A,f46(eqv,thm)) | model(A,f47(eqv,thm)).  [resolve(148,a,118,a)].
25.42/25.65	564 model(f12(f46(eqv,thm),f47(eqv,thm)),f46(eqv,thm)).  [resolve(149,a,64,b)].
25.42/25.65	14962 model(f12(f46(eqv,thm),f47(eqv,thm)),f47(eqv,thm)).  [resolve(564,a,563,a)].
25.42/25.65	43675 $F.  [resolve(14962,a,65,a),unit_del(a,149)].
25.42/25.65	
25.42/25.65	% SZS output end Refutation
25.42/25.65	============================== end of proof ==========================
25.42/25.65	
25.42/25.65	============================== STATISTICS ============================
25.42/25.65	
25.42/25.65	Given=24468. Generated=3477249. Kept=43625. proofs=1.
25.42/25.65	Usable=24468. Sos=8230. Demods=0. Limbo=10, Disabled=11040. Hints=0.
25.42/25.65	Megabytes=28.89.
25.42/25.65	User_CPU=23.69, System_CPU=1.49, Wall_clock=25.
25.42/25.65	
25.42/25.65	============================== end of statistics =====================
25.42/25.65	
25.42/25.65	============================== end of search =========================
25.42/25.65	
25.42/25.65	THEOREM PROVED
25.42/25.65	% SZS status Theorem
25.42/25.65	
25.42/25.65	Exiting with 1 proof.
25.42/25.65	
25.42/25.65	Process 53968 exit (max_proofs) Sat Jul 14 04:59:35 2018
25.42/25.65	Prover9 interrupted
25.42/25.65	EOF