0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s 0.13/0.34 % Computer : n015.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1200 0.13/0.34 % DateTime : Tue Jul 13 17:06:04 EDT 2021 0.13/0.34 % CPUTime : 0.76/1.06 ============================== Prover9 =============================== 0.76/1.06 Prover9 (32) version 2009-11A, November 2009. 0.76/1.06 Process 24165 was started by sandbox2 on n015.cluster.edu, 0.76/1.06 Tue Jul 13 17:06:05 2021 0.76/1.06 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1200 -f /tmp/Prover9_23972_n015.cluster.edu". 0.76/1.06 ============================== end of head =========================== 0.76/1.06 0.76/1.06 ============================== INPUT ================================= 0.76/1.06 0.76/1.06 % Reading from file /tmp/Prover9_23972_n015.cluster.edu 0.76/1.06 0.76/1.06 set(prolog_style_variables). 0.76/1.06 set(auto2). 0.76/1.06 % set(auto2) -> set(auto). 0.76/1.06 % set(auto) -> set(auto_inference). 0.76/1.06 % set(auto) -> set(auto_setup). 0.76/1.06 % set(auto_setup) -> set(predicate_elim). 0.76/1.06 % set(auto_setup) -> assign(eq_defs, unfold). 0.76/1.06 % set(auto) -> set(auto_limits). 0.76/1.06 % set(auto_limits) -> assign(max_weight, "100.000"). 0.76/1.06 % set(auto_limits) -> assign(sos_limit, 20000). 0.76/1.06 % set(auto) -> set(auto_denials). 0.76/1.06 % set(auto) -> set(auto_process). 0.76/1.06 % set(auto2) -> assign(new_constants, 1). 0.76/1.06 % set(auto2) -> assign(fold_denial_max, 3). 0.76/1.06 % set(auto2) -> assign(max_weight, "200.000"). 0.76/1.06 % set(auto2) -> assign(max_hours, 1). 0.76/1.06 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.76/1.06 % set(auto2) -> assign(max_seconds, 0). 0.76/1.06 % set(auto2) -> assign(max_minutes, 5). 0.76/1.06 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.76/1.06 % set(auto2) -> set(sort_initial_sos). 0.76/1.06 % set(auto2) -> assign(sos_limit, -1). 0.76/1.06 % set(auto2) -> assign(lrs_ticks, 3000). 0.76/1.06 % set(auto2) -> assign(max_megs, 400). 0.76/1.06 % set(auto2) -> assign(stats, some). 0.76/1.06 % set(auto2) -> clear(echo_input). 0.76/1.06 % set(auto2) -> set(quiet). 0.76/1.06 % set(auto2) -> clear(print_initial_clauses). 0.76/1.06 % set(auto2) -> clear(print_given). 0.76/1.06 assign(lrs_ticks,-1). 0.76/1.06 assign(sos_limit,10000). 0.76/1.06 assign(order,kbo). 0.76/1.06 set(lex_order_vars). 0.76/1.06 clear(print_given). 0.76/1.06 0.76/1.06 % formulas(sos). % not echoed (44 formulas) 0.76/1.06 0.76/1.06 ============================== end of input ========================== 0.76/1.06 0.76/1.06 % From the command line: assign(max_seconds, 1200). 0.76/1.06 0.76/1.06 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.76/1.06 0.76/1.06 % Formulas that are not ordinary clauses: 0.76/1.06 1 (all A empty_set = set_difference(empty_set,A)) # label(t4_boole) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 2 (exists A (ordinal(A) & epsilon_connected(A) & epsilon_transitive(A))) # label(rc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 3 (all A set_difference(A,empty_set) = A) # label(t3_boole) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 4 (all A all B subset(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 5 (all A (empty(A) -> function(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 6 (all A (empty(A) -> empty_set = A)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 7 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 8 (all A all B (relation(B) & relation(A) -> relation(set_difference(A,B)))) # label(fc3_relat_1) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 9 (all A all B all C ((all D (in(D,C) <-> in(D,A) & -in(D,B))) <-> set_difference(A,B) = C)) # label(d4_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 10 (exists A (empty(A) & relation(A))) # label(rc1_relat_1) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 11 (all A all B -(empty(B) & in(A,B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 12 (exists A (-empty(A) & relation(A))) # label(rc2_relat_1) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 13 (all A all B (element(A,B) -> in(A,B) | empty(B))) # label(t2_subset) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 14 (all A all B all C -(empty(C) & element(B,powerset(C)) & in(A,B))) # label(t5_subset) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 15 (all A ((all B all C -(in(B,A) & C != B & -in(C,B) & -in(B,C) & in(C,A))) <-> epsilon_connected(A))) # label(d3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 16 (all A all B all C -(in(A,B) & in(B,C) & in(C,A))) # label(t3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 17 (exists A (relation(A) & relation_empty_yielding(A))) # label(rc3_relat_1) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 18 (all A (ordinal(A) -> epsilon_connected(A) & epsilon_transitive(A))) # label(cc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 19 (all A all B -(empty(B) & B != A & empty(A))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 20 (exists A (relation(A) & function(A) & empty(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 21 (all A (epsilon_connected(A) & epsilon_transitive(A) -> ordinal(A))) # label(cc2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 22 (all A all B all C (element(B,powerset(C)) & in(A,B) -> element(A,C))) # label(t4_subset) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 23 (all A (ordinal(A) <-> epsilon_connected(A) & epsilon_transitive(A))) # label(d4_ordinal1) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 24 (all A all B -((all C -(in(C,B) & (all D -(in(D,C) & in(D,B))))) & in(A,B))) # label(t7_tarski) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 25 (all A all B (subset(A,B) <-> (all C (in(C,A) -> in(C,B))))) # label(d3_tarski) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 26 (exists A (relation(A) & function(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 27 (all A all B (in(A,B) -> element(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 28 (exists A (relation(A) & function(A) & relation_empty_yielding(A))) # label(rc4_funct_1) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 29 (all A ((all B (in(B,A) -> subset(B,A))) <-> epsilon_transitive(A))) # label(d2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 30 (all A all B (subset(A,B) <-> element(A,powerset(B)))) # label(t3_subset) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 31 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 32 (all A (empty(A) -> relation(A))) # label(cc1_relat_1) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 33 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 34 (all A (relation(A) & empty(A) & function(A) -> relation(A) & function(A) & one_to_one(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 35 (exists A (relation_non_empty(A) & function(A) & relation(A))) # label(rc5_funct_1) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 36 (all A exists B element(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 37 (exists A (function(A) & one_to_one(A) & relation(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption]. 0.76/1.06 38 -(all A all B (ordinal(B) -> (in(A,B) -> ordinal(A)))) # label(t23_ordinal1) # label(negated_conjecture) # label(non_clause). [assumption]. 0.76/1.06 0.76/1.06 ============================== end of process non-clausal formulas === 0.76/1.06 0.76/1.06 ============================== PROCESS INITIAL CLAUSES =============== 0.76/1.06 0.76/1.06 ============================== PREDICATE ELIMINATION ================= 0.76/1.06 39 -epsilon_connected(A) | -epsilon_transitive(A) | ordinal(A) # label(cc2_ordinal1) # label(axiom). [clausify(21)]. 0.76/1.06 40 epsilon_connected(c1) # label(rc1_ordinal1) # label(axiom). [clausify(2)]. 0.76/1.06 41 in(f2(A),A) | epsilon_connected(A) # label(d3_ordinal1) # label(axiom). [clausify(15)]. 0.76/1.06 42 in(f3(A),A) | epsilon_connected(A) # label(d3_ordinal1) # label(axiom). [clausify(15)]. 0.76/1.06 43 -ordinal(A) | epsilon_connected(A) # label(cc1_ordinal1) # label(axiom). [clausify(18)]. 0.76/1.06 44 -ordinal(A) | epsilon_connected(A) # label(d4_ordinal1) # label(axiom). [clausify(23)]. 0.76/1.06 Derived: -epsilon_transitive(c1) | ordinal(c1). [resolve(39,a,40,a)]. 0.76/1.06 Derived: -epsilon_transitive(A) | ordinal(A) | in(f2(A),A). [resolve(39,a,41,b)]. 0.76/1.06 Derived: -epsilon_transitive(A) | ordinal(A) | in(f3(A),A). [resolve(39,a,42,b)]. 0.76/1.06 45 ordinal(A) | -epsilon_connected(A) | -epsilon_transitive(A) # label(d4_ordinal1) # label(axiom). [clausify(23)]. 0.76/1.06 46 f3(A) != Alarm clock 119.86/120.11 Prover9 interrupted 119.86/120.11 EOF