0.03/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.11 % Command : tptp2X_and_run_prover9 %d %s 0.10/0.31 % Computer : n031.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % DateTime : Thu Jul 2 11:32:18 EDT 2020 0.16/0.31 % CPUTime : 0.78/1.12 ============================== Prover9 =============================== 0.78/1.12 Prover9 (32) version 2009-11A, November 2009. 0.78/1.12 Process 7196 was started by sandbox2 on n031.cluster.edu, 0.78/1.12 Thu Jul 2 11:32:18 2020 0.78/1.12 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 960 -f /tmp/Prover9_7043_n031.cluster.edu". 0.78/1.12 ============================== end of head =========================== 0.78/1.12 0.78/1.12 ============================== INPUT ================================= 0.78/1.12 0.78/1.12 % Reading from file /tmp/Prover9_7043_n031.cluster.edu 0.78/1.12 0.78/1.12 set(prolog_style_variables). 0.78/1.12 set(auto2). 0.78/1.12 % set(auto2) -> set(auto). 0.78/1.12 % set(auto) -> set(auto_inference). 0.78/1.12 % set(auto) -> set(auto_setup). 0.78/1.12 % set(auto_setup) -> set(predicate_elim). 0.78/1.12 % set(auto_setup) -> assign(eq_defs, unfold). 0.78/1.12 % set(auto) -> set(auto_limits). 0.78/1.12 % set(auto_limits) -> assign(max_weight, "100.000"). 0.78/1.12 % set(auto_limits) -> assign(sos_limit, 20000). 0.78/1.12 % set(auto) -> set(auto_denials). 0.78/1.12 % set(auto) -> set(auto_process). 0.78/1.12 % set(auto2) -> assign(new_constants, 1). 0.78/1.12 % set(auto2) -> assign(fold_denial_max, 3). 0.78/1.12 % set(auto2) -> assign(max_weight, "200.000"). 0.78/1.12 % set(auto2) -> assign(max_hours, 1). 0.78/1.12 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.78/1.12 % set(auto2) -> assign(max_seconds, 0). 0.78/1.12 % set(auto2) -> assign(max_minutes, 5). 0.78/1.12 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.78/1.12 % set(auto2) -> set(sort_initial_sos). 0.78/1.12 % set(auto2) -> assign(sos_limit, -1). 0.78/1.12 % set(auto2) -> assign(lrs_ticks, 3000). 0.78/1.12 % set(auto2) -> assign(max_megs, 400). 0.78/1.12 % set(auto2) -> assign(stats, some). 0.78/1.12 % set(auto2) -> clear(echo_input). 0.78/1.12 % set(auto2) -> set(quiet). 0.78/1.12 % set(auto2) -> clear(print_initial_clauses). 0.78/1.12 % set(auto2) -> clear(print_given). 0.78/1.12 assign(lrs_ticks,-1). 0.78/1.12 assign(sos_limit,10000). 0.78/1.12 assign(order,kbo). 0.78/1.12 set(lex_order_vars). 0.78/1.12 clear(print_given). 0.78/1.12 0.78/1.12 % formulas(sos). % not echoed (42 formulas) 0.78/1.12 0.78/1.12 ============================== end of input ========================== 0.78/1.12 0.78/1.12 % From the command line: assign(max_seconds, 960). 0.78/1.12 0.78/1.12 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.78/1.12 0.78/1.12 % Formulas that are not ordinary clauses: 0.78/1.12 1 (all A (-empty(A) -> (exists B (element(B,powerset(A)) & -empty(B))))) # label(rc1_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 2 (all A (empty(A) -> relation(A))) # label(cc1_relat_1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 3 (all A (finite(A) -> (all B (element(B,powerset(A)) -> finite(B))))) # label(cc2_finset_1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 4 (all A (-empty(singleton(A)) & finite(singleton(A)))) # label(fc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 5 (all A all B (relation(A) & relation(B) -> relation(set_difference(A,B)))) # label(fc3_relat_1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 6 (exists A (-empty(A) & relation(A))) # label(rc2_relat_1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 7 (all A all B (element(B,powerset(powerset(succ(A)))) & ordinal(A) -> ((all C all D all E (C = D & (exists G (set_difference(G,singleton(A)) = E & in(G,B))) & C = E & (exists F (set_difference(F,singleton(A)) = D & in(F,B))) -> E = D)) -> (exists C all D ((exists E (in(E,powerset(A)) & (exists H (D = set_difference(H,singleton(A)) & in(H,B))) & E = D)) <-> in(D,C)))))) # label(s1_tarski__e4_27_3_1__finset_1__1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 8 (all A (empty(A) -> ordinal(A) & epsilon_connected(A) & epsilon_transitive(A))) # label(cc3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 9 (all A -empty(succ(A))) # label(fc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 10 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 11 (exists A (relation(A) & one_to_one(A) & function(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 12 (all A -empty(powerset(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 13 (exists A (epsilon_connected(A) & ordinal(A) & natural(A) & epsilon_transitive(A) & -empty(A))) # label(rc1_arytm_3) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 14 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 15 (all A (relation(A) & empty(A) & function(A) -> function(A) & one_to_one(A) & relation(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 16 (exists A (relation(A) & function(A) & epsilon_transitive(A) & ordinal(A) & epsilon_connected(A) & empty(A) & one_to_one(A))) # label(rc2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 17 (all A (-empty(A) -> (exists B (element(B,powerset(A)) & -empty(B) & finite(B))))) # label(rc3_finset_1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 18 $T # label(dt_k4_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 19 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 20 (exists A (finite(A) & -empty(A))) # label(rc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 21 (all A (ordinal(A) -> (all B (element(B,A) -> ordinal(B) & epsilon_connected(B) & epsilon_transitive(B))))) # label(cc1_arytm_3) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 22 (all A -empty(singleton(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 23 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 24 (all A (empty(A) & ordinal(A) -> epsilon_transitive(A) & epsilon_connected(A) & ordinal(A) & natural(A))) # label(cc2_arytm_3) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 25 (all A (ordinal(A) -> epsilon_connected(A) & epsilon_transitive(A))) # label(cc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 26 (all A exists B (element(B,powerset(A)) & empty(B) & function(B) & epsilon_transitive(B) & finite(B) & natural(B) & ordinal(B) & epsilon_connected(B) & one_to_one(B) & relation(B))) # label(rc2_finset_1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 27 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 28 $T # label(dt_k1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 29 (exists A (relation(A) & empty(A) & function(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 30 (all A exists B (empty(B) & element(B,powerset(A)))) # label(rc2_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 31 (all A all B (finite(A) -> finite(set_difference(A,B)))) # label(fc12_finset_1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 32 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 33 (exists A (relation(A) & function(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 34 (all A (ordinal(A) -> -empty(succ(A)) & ordinal(succ(A)) & epsilon_connected(succ(A)) & epsilon_transitive(succ(A)))) # label(fc3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 35 (all A (empty(A) -> function(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 36 (all A (empty(A) -> finite(A))) # label(cc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 37 (exists A (ordinal(A) & epsilon_connected(A) & epsilon_transitive(A))) # label(rc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 38 (exists A (relation(A) & empty(A))) # label(rc1_relat_1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 39 (all A (natural(A) & ordinal(A) -> -empty(succ(A)) & ordinal(succ(A)) & natural(succ(A)) & epsilon_connected(succ(A)) & epsilon_transitive(succ(A)))) # label(fc2_arytm_3) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 40 (all A (epsilon_connected(A) & epsilon_transitive(A) -> ordinal(A))) # label(cc2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 41 (exists A (epsilon_transitive(A) & ordinal(A) & epsilon_connected(A) & -empty(A))) # label(rc3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 0.78/1.12 42 -(all A all B (ordinal(A) & element(B,powerset(powerset(succ(A)))) -> (exists C all D ((exists E (in(E,B) & set_difference(E,singleton(A)) = D)) & in(D,powerset(A)) <-> in(D,C))))) # label(s1_xboole_0__e4_27_3_1__fAlarm clock 119.74/120.02 Prover9 interrupted 119.74/120.03 EOF