0.02/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.02/0.10	% Command    : tptp2X_and_run_prover9 %d %s
0.09/0.30	% Computer   : n014.cluster.edu
0.09/0.30	% Model      : x86_64 x86_64
0.09/0.30	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.30	% Memory     : 8042.1875MB
0.09/0.30	% OS         : Linux 3.10.0-693.el7.x86_64
0.09/0.30	% CPULimit   : 1200
0.09/0.30	% DateTime   : Tue Jul 13 16:11:49 EDT 2021
0.09/0.30	% CPUTime    : 
0.73/1.04	============================== Prover9 ===============================
0.73/1.04	Prover9 (32) version 2009-11A, November 2009.
0.73/1.04	Process 31527 was started by sandbox2 on n014.cluster.edu,
0.73/1.04	Tue Jul 13 16:11:50 2021
0.73/1.04	The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1200 -f /tmp/Prover9_31374_n014.cluster.edu".
0.73/1.04	============================== end of head ===========================
0.73/1.04	
0.73/1.04	============================== INPUT =================================
0.73/1.04	
0.73/1.04	% Reading from file /tmp/Prover9_31374_n014.cluster.edu
0.73/1.04	
0.73/1.04	set(prolog_style_variables).
0.73/1.04	set(auto2).
0.73/1.04	    % set(auto2) -> set(auto).
0.73/1.04	    % set(auto) -> set(auto_inference).
0.73/1.04	    % set(auto) -> set(auto_setup).
0.73/1.04	    % set(auto_setup) -> set(predicate_elim).
0.73/1.04	    % set(auto_setup) -> assign(eq_defs, unfold).
0.73/1.04	    % set(auto) -> set(auto_limits).
0.73/1.04	    % set(auto_limits) -> assign(max_weight, "100.000").
0.73/1.04	    % set(auto_limits) -> assign(sos_limit, 20000).
0.73/1.04	    % set(auto) -> set(auto_denials).
0.73/1.04	    % set(auto) -> set(auto_process).
0.73/1.04	    % set(auto2) -> assign(new_constants, 1).
0.73/1.04	    % set(auto2) -> assign(fold_denial_max, 3).
0.73/1.04	    % set(auto2) -> assign(max_weight, "200.000").
0.73/1.04	    % set(auto2) -> assign(max_hours, 1).
0.73/1.04	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.73/1.04	    % set(auto2) -> assign(max_seconds, 0).
0.73/1.04	    % set(auto2) -> assign(max_minutes, 5).
0.73/1.04	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.73/1.04	    % set(auto2) -> set(sort_initial_sos).
0.73/1.04	    % set(auto2) -> assign(sos_limit, -1).
0.73/1.04	    % set(auto2) -> assign(lrs_ticks, 3000).
0.73/1.04	    % set(auto2) -> assign(max_megs, 400).
0.73/1.04	    % set(auto2) -> assign(stats, some).
0.73/1.04	    % set(auto2) -> clear(echo_input).
0.73/1.04	    % set(auto2) -> set(quiet).
0.73/1.04	    % set(auto2) -> clear(print_initial_clauses).
0.73/1.04	    % set(auto2) -> clear(print_given).
0.73/1.04	assign(lrs_ticks,-1).
0.73/1.04	assign(sos_limit,10000).
0.73/1.04	assign(order,kbo).
0.73/1.04	set(lex_order_vars).
0.73/1.04	clear(print_given).
0.73/1.04	
0.73/1.04	% formulas(sos).  % not echoed (52 formulas)
0.73/1.04	
0.73/1.04	============================== end of input ==========================
0.73/1.04	
0.73/1.04	% From the command line: assign(max_seconds, 1200).
0.73/1.04	
0.73/1.04	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.73/1.04	
0.73/1.04	% Formulas that are not ordinary clauses:
0.73/1.04	1 op_implies_or -> (all X all Y implies(X,Y) = or(not(X),Y)) # label(op_implies_or) # label(axiom) # label(non_clause).  [assumption].
0.73/1.04	2 op_implies_and -> (all X all Y implies(X,Y) = not(and(X,not(Y)))) # label(op_implies_and) # label(axiom) # label(non_clause).  [assumption].
0.73/1.04	3 op_or -> (all X all Y or(X,Y) = not(and(not(X),not(Y)))) # label(op_or) # label(axiom) # label(non_clause).  [assumption].
0.73/1.04	4 op_equiv -> (all X all Y and(implies(X,Y),implies(Y,X)) = equiv(X,Y)) # label(op_equiv) # label(axiom) # label(non_clause).  [assumption].
0.73/1.04	5 op_and -> (all X all Y not(or(not(X),not(Y))) = and(X,Y)) # label(op_and) # label(axiom) # label(non_clause).  [assumption].
0.73/1.04	6 (all P all Q is_a_theorem(strict_implies(possibly(and(P,Q)),and(possibly(P),possibly(Q))))) <-> axiom_s2 # label(axiom_s2) # label(axiom) # label(non_clause).  [assumption].
0.73/1.04	7 (all X all Y all Z is_a_theorem(strict_implies(and(and(X,Y),Z),and(X,and(Y,Z))))) <-> axiom_m3 # label(axiom_m3) # label(axiom) # label(non_clause).  [assumption].
0.73/1.04	8 (all X all Y (is_a_theorem(X) & is_a_theorem(strict_implies(X,Y)) -> is_a_theorem(Y))) <-> modus_ponens_strict_implies # label(modus_ponens_strict_implies) # label(axiom) # label(non_clause).  [assumption].
0.73/1.04	9 (all X is_a_theorem(implies(X,necessarily(possibly(X))))) <-> axiom_B # label(axiom_B) # label(axiom) # label(non_clause).  [assumption].
0.73/1.04	10 (all X is_a_theorem(strict_implies(possibly(possibly(X)),possibly(X)))) <-> axiom_m9 # label(axiom_m9) # label(axiom) # label(non_clause).  [assumption].
0.73/1.04	11 axiom_m7 <-> (all P all Q is_a_theorem(strict_implies(possibly(and(P,Q)),P))) # label(axiom_m7) # label(axiom) # label(non_clause).  [assumption].
0.73/1.04	12 (all X is_a_theorem(implies(possibly(X),necessarily(possibly(X))))) <-> axiom_5 # label(axiom_5) # label(axiom) # label(non_clause).  [assumption].
0.73/1.04	13 (all X is_a_theorem(strict_implies(possibly(X),necessarily(possibly(X))))) <-> axiom_m10 # label(axiom_m10) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	14 axiom_s4 <-> (all X is_a_theorem(strict_implies(necessarily(X),necessarily(necessarily(X))))) # label(axiom_s4) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	15 axiom_m1 <-> (all X all Y is_a_theorem(strict_implies(and(X,Y),and(Y,X)))) # label(axiom_m1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	16 adjunction <-> (all X all Y (is_a_theorem(Y) & is_a_theorem(X) -> is_a_theorem(and(X,Y)))) # label(adjunction) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	17 axiom_m2 <-> (all X all Y is_a_theorem(strict_implies(and(X,Y),X))) # label(axiom_m2) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	18 axiom_s3 <-> (all X all Y is_a_theorem(strict_implies(strict_implies(X,Y),strict_implies(not(possibly(Y)),not(possibly(X)))))) # label(axiom_s3) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	19 (all X is_a_theorem(strict_implies(X,possibly(X)))) <-> axiom_m6 # label(axiom_m6) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	20 substitution_strict_equiv <-> (all X all Y (is_a_theorem(strict_equiv(X,Y)) -> Y = X)) # label(substitution_strict_equiv) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	21 (all X all Y all Z is_a_theorem(implies(and(necessarily(implies(X,Y)),necessarily(implies(Y,Z))),necessarily(implies(X,Z))))) <-> axiom_s1 # label(axiom_s1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	22 (all X all Y all Z is_a_theorem(strict_implies(and(strict_implies(X,Y),strict_implies(Y,Z)),strict_implies(X,Z)))) <-> axiom_m5 # label(axiom_m5) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	23 axiom_4 <-> (all X is_a_theorem(implies(necessarily(X),necessarily(necessarily(X))))) # label(axiom_4) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	24 (all X (is_a_theorem(X) -> is_a_theorem(necessarily(X)))) <-> necessitation # label(necessitation) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	25 (all X is_a_theorem(strict_implies(X,and(X,X)))) <-> axiom_m4 # label(axiom_m4) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	26 axiom_m8 <-> (all P all Q is_a_theorem(strict_implies(strict_implies(P,Q),strict_implies(possibly(P),possibly(Q))))) # label(axiom_m8) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	27 axiom_M <-> (all X is_a_theorem(implies(necessarily(X),X))) # label(axiom_M) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	28 axiom_K <-> (all X all Y is_a_theorem(implies(necessarily(implies(X,Y)),implies(necessarily(X),necessarily(Y))))) # label(axiom_K) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	29 op_strict_equiv -> (all X all Y and(strict_implies(X,Y),strict_implies(Y,X)) = strict_equiv(X,Y)) # label(op_strict_equiv) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	30 op_strict_implies -> (all X all Y necessarily(implies(X,Y)) = strict_implies(X,Y)) # label(op_strict_implies) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	31 op_necessarily -> (all X necessarily(X) = not(possibly(not(X)))) # label(op_necessarily) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	32 op_possibly -> (all X possibly(X) = not(necessarily(not(X)))) # label(op_possibly) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	
0.76/1.05	============================== end of process non-clausal formulas ===
0.76/1.05	
0.76/1.05	============================== PROCESS INITIAL CLAUSES ===============
0.76/1.05	
0.76/1.05	============================== PREDICATE ELIMINATION =================
0.76/1.05	
0.76/1.05	============================== end predicate elimination =============
0.76/1.05	
0.76/1.05	Auto_denials:  (non-Horn, no changes).
0.76/1.05	
0.76/1.05	Term ordering decisions:
0.76/1.05	Function symbol KB weights:  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. c19=1. c20=1. c21=1. c22=1. c23=1. c24=1. c25=1. c26=1. c27=1. c28=1. c29=1. c30=1. c31=1. c32=1. c33=1. c34=1. c35=1. c36=1. c37=1. c38=1. c39=1. strict_implies=1. and=1. implies=1. or=1. strict_equiv=1. equiv=1. necessarily=1. possibly=1. not=1.
0.76/1.05	
0.76/1.05	============================== end of process initial clauses ========
0.76/1.05	
0.76/1.05	============================== CLAUSES FOR SEARCH ====================
0.76/1.05	
0.76/1.05	============================== end of clauses for search ===========Alarm clock 
119.61/120.04	Prover9 interrupted
119.61/120.04	EOF