0.07/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s 0.12/0.33 % Computer : n024.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1200 0.12/0.33 % DateTime : Wed Jul 14 15:22:17 EDT 2021 0.12/0.33 % CPUTime : 1.48/1.79 ============================== Prover9 =============================== 1.48/1.79 Prover9 (32) version 2009-11A, November 2009. 1.48/1.79 Process 3987 was started by sandbox on n024.cluster.edu, 1.48/1.79 Wed Jul 14 15:22:19 2021 1.48/1.79 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1200 -f /tmp/Prover9_3834_n024.cluster.edu". 1.48/1.79 ============================== end of head =========================== 1.48/1.79 1.48/1.79 ============================== INPUT ================================= 1.48/1.79 1.48/1.79 % Reading from file /tmp/Prover9_3834_n024.cluster.edu 1.48/1.79 1.48/1.79 set(prolog_style_variables). 1.48/1.79 set(auto2). 1.48/1.79 % set(auto2) -> set(auto). 1.48/1.79 % set(auto) -> set(auto_inference). 1.48/1.79 % set(auto) -> set(auto_setup). 1.48/1.79 % set(auto_setup) -> set(predicate_elim). 1.48/1.79 % set(auto_setup) -> assign(eq_defs, unfold). 1.48/1.79 % set(auto) -> set(auto_limits). 1.48/1.79 % set(auto_limits) -> assign(max_weight, "100.000"). 1.48/1.79 % set(auto_limits) -> assign(sos_limit, 20000). 1.48/1.79 % set(auto) -> set(auto_denials). 1.48/1.79 % set(auto) -> set(auto_process). 1.48/1.79 % set(auto2) -> assign(new_constants, 1). 1.48/1.79 % set(auto2) -> assign(fold_denial_max, 3). 1.48/1.79 % set(auto2) -> assign(max_weight, "200.000"). 1.48/1.79 % set(auto2) -> assign(max_hours, 1). 1.48/1.79 % assign(max_hours, 1) -> assign(max_seconds, 3600). 1.48/1.79 % set(auto2) -> assign(max_seconds, 0). 1.48/1.79 % set(auto2) -> assign(max_minutes, 5). 1.48/1.79 % assign(max_minutes, 5) -> assign(max_seconds, 300). 1.48/1.79 % set(auto2) -> set(sort_initial_sos). 1.48/1.79 % set(auto2) -> assign(sos_limit, -1). 1.48/1.79 % set(auto2) -> assign(lrs_ticks, 3000). 1.48/1.79 % set(auto2) -> assign(max_megs, 400). 1.48/1.79 % set(auto2) -> assign(stats, some). 1.48/1.79 % set(auto2) -> clear(echo_input). 1.48/1.79 % set(auto2) -> set(quiet). 1.48/1.79 % set(auto2) -> clear(print_initial_clauses). 1.48/1.79 % set(auto2) -> clear(print_given). 1.48/1.79 assign(lrs_ticks,-1). 1.48/1.79 assign(sos_limit,10000). 1.48/1.79 assign(order,kbo). 1.48/1.79 set(lex_order_vars). 1.48/1.79 clear(print_given). 1.48/1.79 1.48/1.79 % formulas(sos). % not echoed (49 formulas) 1.48/1.79 1.48/1.79 ============================== end of input ========================== 1.48/1.79 1.48/1.79 % From the command line: assign(max_seconds, 1200). 1.48/1.79 1.48/1.79 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 1.48/1.79 1.48/1.79 % Formulas that are not ordinary clauses: 1.48/1.79 1 (all P all Q all R lazy_impl(prop(R),impl(lazy_impl(P,impl(Q,R)),R)) = f2(P,Q,R)) # label(def_f2) # label(axiom) # label(non_clause). [assumption]. 1.48/1.79 2 (all A all B (-bool(A) -> lazy_and1(A,B) = phi(A))) # label(lazy_and1_axiom1) # label(axiom) # label(non_clause). [assumption]. 1.48/1.79 3 (all A all B (-bool(A) -> phi(A) = or1(A,B))) # label(or1_axiom1) # label(axiom) # label(non_clause). [assumption]. 1.48/1.79 4 (all A (-bool(A) -> not1(A) = phi(A))) # label(not1_axiom1) # label(axiom) # label(non_clause). [assumption]. 1.48/1.79 5 (all P all R exists X (-(exists X1 forallprefers(f4(P,X1,R),f4(P,X,R))) & phi(f4(P,X,R)) = f5(P,R))) # label(def_f5) # label(axiom) # label(non_clause). [assumption]. 1.48/1.79 6 (all X (false = prop(X) <-> -bool(X))) # label(prop_false) # label(axiom) # label(non_clause). [assumption]. 1.48/1.79 7 (all X all Y (existsprefers(X,Y) <-> bool(Y) & -bool(X) & d(Y) & d(X) | X = true & Y = false | -d(X) & d(Y))) # label(def_existsprefers) # label(axiom) # label(non_clause). [assumption]. 1.48/1.79 8 (all B lazy_impl(false,B) = true) # label(lazy_impl_axiom2) # label(axiom) # label(non_clause). [assumption]. 1.48/1.79 9 (all A all B (-bool(B) & bool(A) -> phi(B) = impl(A,B))) # label(impl_axiom2) # label(axiom) # label(non_clause). [assumption]. 1.48/1.79 10 (all A all B (-bool(B) & bool(A) -> phi(B) = or1(A,B))) # label(or1_axiom2) # label(axiom) # label(non_clause). [assumption]. 1.48/1.79 11 (all P exists X (exists1(P) = phi(apply(P,X)) & -(exists X1 existsprefers(apply(P,X1),apply(P,X))))) # label(exists1_axiom1) # label(axiom) # label(non_clause). [assumption]. 1.48/1.79 12 (all P all Q all R f1(P,Q,R) = lazy_impl(prop(R),impl(impl(P,impl(Q,R)),R))) # label(def_f1) # label(axiom) # label(non_clause). [assumption]. 1.48/1.79 13 (all A all B (-bool(A) -> phi(A) = and1(A,B))) # label(and1_axiom1) # label(axiom) # label(non_clause). [assumption]. 1.48/1.79 14 (all B (bool(B) -> B = and1(true,B))) # label(and1_axiom4) # label(axiom) # label(non_clause). [assumption]. 1.48/1.79 15 (all P exists R (exists2(P) = phi(f6(P,R)) & -(exists R1 forallprefers(f6(P,R1),f6(P,R))))) # label(def_exists2) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 16 (all A all B (-bool(A) -> impl(A,B) = phi(A))) # label(impl_axiom1) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 17 (all P all Q exists R (-(exists R1 forallprefers(f1(P,Q,R1),f1(P,Q,R))) & phi(f1(P,Q,R)) = and2(P,Q))) # label(def_and2) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 18 (all X all Y (forallprefers(X,Y) <-> bool(Y) & -bool(X) & d(Y) & d(X) | true = Y & false = X | -d(X) & d(Y))) # label(def_forallprefers) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 19 (exists P (-(exists P1 forallprefers(f7(P1),f7(P))) & false2 = phi(f7(P)))) # label(def_false2) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 20 (all P all Q all R f3(P,Q,R) = lazy_impl(prop(R),impl(impl(P,R),impl(impl(Q,R),R)))) # label(def_f3) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 21 (all B (bool(B) -> B = impl(true,B))) # label(impl_axiom4) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 22 (all B lazy_and1(false,B) = false) # label(lazy_and1_axiom2) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 23 (all B (bool(B) -> true = impl(false,B))) # label(impl_axiom3) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 24 (all P all R lazy_impl(prop(R),impl(f5(P,R),R)) = f6(P,R)) # label(def_f6) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 25 (all B lazy_and1(true,B) = phi(B)) # label(lazy_and1_axiom3) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 26 (all B (bool(B) -> and1(false,B) = false)) # label(and1_axiom3) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 27 (all A all B (-bool(B) & bool(A) -> and1(A,B) = phi(B))) # label(and1_axiom2) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 28 (all P all Q exists R (phi(f2(P,Q,R)) = lazy_and2(P,Q) & -(exists R1 forallprefers(f2(P,Q,R1),f2(P,Q,R))))) # label(def_lazy_and2) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 29 (all X (phi(X) = err & -d(X) | d(X) & X = phi(X))) # label(def_phi) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 30 (all B (bool(B) -> true = or1(true,B))) # label(or1_axiom3) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 31 (all P all X all R f4(P,X,R) = impl(apply(P,X),R)) # label(def_f4) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 32 (all B (bool(B) -> or1(false,B) = B)) # label(or1_axiom4) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 33 (all P impl(P,false2) = not2(P)) # label(def_not2) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 34 (all P all Q exists R (phi(f3(P,Q,R)) = or2(P,Q) & -(exists R1 forallprefers(f3(P,Q,R1),f3(P,Q,R))))) # label(def_or2) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 35 (all P lazy_impl(prop(P),P) = f7(P)) # label(def_f7) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 36 (all A all B (-bool(A) -> lazy_impl(A,B) = phi(A))) # label(lazy_impl_axiom1) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 37 (all B lazy_impl(true,B) = phi(B)) # label(lazy_impl_axiom3) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 38 (all X (bool(X) <-> true = prop(X))) # label(prop_true) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 39 (all X (false = X | true = X <-> bool(X))) # label(def_bool) # label(axiom) # label(non_clause). [assumption]. 1.48/1.80 40 -(all P ((all X1 all X2 (-bool(apply(P,X2)) & -bool(apply(P,X1)) -> apply(P,X1) = apply(P,X2))) -> exists1(P) = exists2(P))) # label(exists1_exists2) # label(negated_conjecture) # label(non_clause). [assumption]. 1.48/1.80 1.48/1.80 ============================== end of process non-clausal formulas === 1.48/1.80 1.48/1.80 ============================== PROCESS INITIAL CLAUSES =============== 1.48/1.80 1.48/1.80 ============================== PREDICATE ELIMINATION ================= 1.48/1.80 1.48/1.80 ============================== end predicate elimination ============= 1.48/1.80 1.48/1.80 Auto_denials: (non-Horn, no changes). 1.48/1.80 1.48/1.80 Term ordering decisions: 1.48/1.80 Function symbol KB weights: true=1. false=1. err=1. false2=1. false1=1. c1=1. c2=1. impl=1. lazy_impl=1. apply=1. and1=1. or1=1. lazy_and1=1. f5=1. f6=1. and2=1. lazy_and2=1. or2=1. f1=1. f4=1. f7=1. f8=1. phi=1. prop=1. not1=1. f7=1. exists1=1. exists2=1.Alarm clock 119.78/120.05 Prover9 interrupted 119.78/120.05 EOF