0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s 0.12/0.34 % Computer : n007.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1440 0.12/0.34 % WCLimit : 180 0.12/0.34 % DateTime : Mon Jul 3 08:32:27 EDT 2023 0.12/0.34 % CPUTime : 0.44/1.01 ============================== Prover9 =============================== 0.44/1.01 Prover9 (32) version 2009-11A, November 2009. 0.44/1.01 Process 16731 was started by sandbox on n007.cluster.edu, 0.44/1.01 Mon Jul 3 08:32:28 2023 0.44/1.01 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1440 -f /tmp/Prover9_16578_n007.cluster.edu". 0.44/1.01 ============================== end of head =========================== 0.44/1.01 0.44/1.01 ============================== INPUT ================================= 0.44/1.01 0.44/1.01 % Reading from file /tmp/Prover9_16578_n007.cluster.edu 0.44/1.01 0.44/1.01 set(prolog_style_variables). 0.44/1.01 set(auto2). 0.44/1.01 % set(auto2) -> set(auto). 0.44/1.01 % set(auto) -> set(auto_inference). 0.44/1.01 % set(auto) -> set(auto_setup). 0.44/1.01 % set(auto_setup) -> set(predicate_elim). 0.44/1.01 % set(auto_setup) -> assign(eq_defs, unfold). 0.44/1.01 % set(auto) -> set(auto_limits). 0.44/1.01 % set(auto_limits) -> assign(max_weight, "100.000"). 0.44/1.01 % set(auto_limits) -> assign(sos_limit, 20000). 0.44/1.01 % set(auto) -> set(auto_denials). 0.44/1.01 % set(auto) -> set(auto_process). 0.44/1.01 % set(auto2) -> assign(new_constants, 1). 0.44/1.01 % set(auto2) -> assign(fold_denial_max, 3). 0.44/1.01 % set(auto2) -> assign(max_weight, "200.000"). 0.44/1.01 % set(auto2) -> assign(max_hours, 1). 0.44/1.01 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.44/1.01 % set(auto2) -> assign(max_seconds, 0). 0.44/1.01 % set(auto2) -> assign(max_minutes, 5). 0.44/1.01 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.44/1.01 % set(auto2) -> set(sort_initial_sos). 0.44/1.01 % set(auto2) -> assign(sos_limit, -1). 0.44/1.01 % set(auto2) -> assign(lrs_ticks, 3000). 0.44/1.01 % set(auto2) -> assign(max_megs, 400). 0.44/1.01 % set(auto2) -> assign(stats, some). 0.44/1.01 % set(auto2) -> clear(echo_input). 0.44/1.01 % set(auto2) -> set(quiet). 0.44/1.01 % set(auto2) -> clear(print_initial_clauses). 0.44/1.01 % set(auto2) -> clear(print_given). 0.44/1.01 assign(lrs_ticks,-1). 0.44/1.01 assign(sos_limit,10000). 0.44/1.01 assign(order,kbo). 0.44/1.01 set(lex_order_vars). 0.44/1.01 clear(print_given). 0.44/1.01 0.44/1.01 % formulas(sos). % not echoed (49 formulas) 0.44/1.01 0.44/1.01 ============================== end of input ========================== 0.44/1.01 0.44/1.01 % From the command line: assign(max_seconds, 1440). 0.44/1.01 0.44/1.01 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.44/1.01 0.44/1.01 % Formulas that are not ordinary clauses: 0.44/1.01 1 (all A all B (subset(A,B) -> set_union2(A,B) = B)) # label(t12_xboole_1) # label(lemma) # label(non_clause). [assumption]. 0.44/1.01 2 (all A all B (-empty(A) -> -empty(set_union2(B,A)))) # label(fc3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 3 (all A A = set_union2(A,empty_set)) # label(t1_boole) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 4 (all A all B all C (subset(A,B) -> subset(set_difference(A,C),set_difference(B,C)))) # label(t33_xboole_1) # label(lemma) # label(non_clause). [assumption]. 0.44/1.01 5 (all A subset(empty_set,A)) # label(t2_xboole_1) # label(lemma) # label(non_clause). [assumption]. 0.44/1.01 6 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 7 (all A all B all C (subset(A,B) -> subset(set_intersection2(A,C),set_intersection2(B,C)))) # label(t26_xboole_1) # label(lemma) # label(non_clause). [assumption]. 0.44/1.01 8 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 9 (all A all B set_intersection2(A,A) = A) # label(idempotence_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 10 (all A all B (subset(A,B) & subset(B,A) <-> A = B)) # label(d10_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 11 (all A all B subset(set_intersection2(A,B),A)) # label(t17_xboole_1) # label(lemma) # label(non_clause). [assumption]. 0.44/1.01 12 (all A (A = empty_set <-> (all B -in(B,A)))) # label(d1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 13 (all A all B set_union2(A,set_difference(B,A)) = set_union2(A,B)) # label(t39_xboole_1) # label(lemma) # label(non_clause). [assumption]. 0.44/1.01 14 $T # label(dt_k4_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 15 (all A all B (-(disjoint(A,B) & (exists C (in(C,B) & in(C,A)))) & -(-disjoint(A,B) & (all C -(in(C,A) & in(C,B)))))) # label(t3_xboole_0) # label(lemma) # label(non_clause). [assumption]. 0.44/1.01 16 $T # label(dt_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 17 (all A all B ((all C (in(C,A) <-> in(C,B))) -> A = B)) # label(t2_tarski) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 18 (all A all B subset(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 19 (all A all B ((all C (in(C,A) -> in(C,B))) <-> subset(A,B))) # label(d3_tarski) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 20 (all A all B (-empty(A) -> -empty(set_union2(A,B)))) # label(fc2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 21 (all A all B (subset(A,B) -> A = set_intersection2(A,B))) # label(t28_xboole_1) # label(lemma) # label(non_clause). [assumption]. 0.44/1.01 22 $T # label(dt_k2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 23 (all A all B (disjoint(A,B) <-> empty_set = set_intersection2(A,B))) # label(d7_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 24 (all A all B set_union2(A,A) = A) # label(idempotence_k2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 25 (all A all B (empty_set = set_difference(A,B) <-> subset(A,B))) # label(l32_xboole_1) # label(lemma) # label(non_clause). [assumption]. 0.44/1.01 26 (all A set_difference(A,empty_set) = A) # label(t3_boole) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 27 (all A all B (-(-disjoint(A,B) & (all C -in(C,set_intersection2(A,B)))) & -(disjoint(A,B) & (exists C in(C,set_intersection2(A,B)))))) # label(t4_xboole_0) # label(lemma) # label(non_clause). [assumption]. 0.44/1.01 28 (all A empty_set = set_intersection2(A,empty_set)) # label(t2_boole) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 29 (all A all B -(B != A & empty(B) & empty(A))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 30 (all A all B (disjoint(A,B) -> disjoint(B,A))) # label(symmetry_r1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 31 (all A (empty(A) -> A = empty_set)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 32 (all A all B (empty_set = set_difference(A,B) <-> subset(A,B))) # label(t37_xboole_1) # label(lemma) # label(non_clause). [assumption]. 0.44/1.01 33 (all A all B all C (set_difference(A,B) = C <-> (all D (in(D,C) <-> in(D,A) & -in(D,B))))) # label(d4_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 34 (all A all B set_union2(B,A) = set_union2(A,B)) # label(commutativity_k2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 35 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 36 (all A all B all C (subset(A,B) & subset(C,B) -> subset(set_union2(A,C),B))) # label(t8_xboole_1) # label(lemma) # label(non_clause). [assumption]. 0.44/1.01 37 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 38 (all A all B subset(A,set_union2(A,B))) # label(t7_xboole_1) # label(lemma) # label(non_clause). [assumption]. 0.44/1.01 39 (all A empty_set = set_difference(empty_set,A)) # label(t4_boole) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 40 (all A all B all C (subset(B,C) & subset(A,B) -> subset(A,C))) # label(t1_xboole_1) # label(lemma) # label(non_clause). [assumption]. 0.44/1.01 41 (all A all B set_intersection2(A,B) = set_intersection2(B,A)) # label(commutativity_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 42 (all A all B -(empty(B) & in(A,B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 43 (all A (subset(A,empty_set) -> empty_set = A)) # label(t3_xboole_1) # label(lemma) # label(non_clause). [assumption]. 0.44/1.01 44 (all A all B all C (set_intersection2(A,B) = C <-> (all D (in(D,C) <-> in(D,B) & in(D,A))))) # label(d3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 45 (all A all B all C (C = set_union2(A,B) <-> (all D (in(D,A) | in(D,B) <-> in(D,C))))) # label(d2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.44/1.01 46 (all A all B all C (subset(A,C) & subset(A,B) -> subset(A,set_intersection2(B,C)))) # label(t19_xboole_1) # label(lemma) # label(non_clause). [assumption]. 0.44/1.01 47 (all A all B subset(set_difference(A,B),A)) # label(t36_xboole_1) # label(lemma) # label(non_clause). [assumptionAlarm clock 179.73/180.05 Prover9 interrupted 179.73/180.05 EOF