0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s 0.12/0.33 % Computer : n017.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 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 06:19:15 EDT 2022 0.12/0.34 % CPUTime : 0.43/1.00 ============================== Prover9 =============================== 0.43/1.00 Prover9 (32) version 2009-11A, November 2009. 0.43/1.00 Process 2334 was started by sandbox on n017.cluster.edu, 0.43/1.00 Tue Aug 9 06:19:15 2022 0.43/1.00 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 960 -f /tmp/Prover9_2180_n017.cluster.edu". 0.43/1.00 ============================== end of head =========================== 0.43/1.00 0.43/1.00 ============================== INPUT ================================= 0.43/1.00 0.43/1.00 % Reading from file /tmp/Prover9_2180_n017.cluster.edu 0.43/1.00 0.43/1.00 set(prolog_style_variables). 0.43/1.00 set(auto2). 0.43/1.00 % set(auto2) -> set(auto). 0.43/1.00 % set(auto) -> set(auto_inference). 0.43/1.00 % set(auto) -> set(auto_setup). 0.43/1.00 % set(auto_setup) -> set(predicate_elim). 0.43/1.00 % set(auto_setup) -> assign(eq_defs, unfold). 0.43/1.00 % set(auto) -> set(auto_limits). 0.43/1.00 % set(auto_limits) -> assign(max_weight, "100.000"). 0.43/1.00 % set(auto_limits) -> assign(sos_limit, 20000). 0.43/1.00 % set(auto) -> set(auto_denials). 0.43/1.00 % set(auto) -> set(auto_process). 0.43/1.00 % set(auto2) -> assign(new_constants, 1). 0.43/1.00 % set(auto2) -> assign(fold_denial_max, 3). 0.43/1.00 % set(auto2) -> assign(max_weight, "200.000"). 0.43/1.00 % set(auto2) -> assign(max_hours, 1). 0.43/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.43/1.00 % set(auto2) -> assign(max_seconds, 0). 0.43/1.00 % set(auto2) -> assign(max_minutes, 5). 0.43/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.43/1.00 % set(auto2) -> set(sort_initial_sos). 0.43/1.00 % set(auto2) -> assign(sos_limit, -1). 0.43/1.00 % set(auto2) -> assign(lrs_ticks, 3000). 0.43/1.00 % set(auto2) -> assign(max_megs, 400). 0.43/1.00 % set(auto2) -> assign(stats, some). 0.43/1.00 % set(auto2) -> clear(echo_input). 0.43/1.00 % set(auto2) -> set(quiet). 0.43/1.00 % set(auto2) -> clear(print_initial_clauses). 0.43/1.00 % set(auto2) -> clear(print_given). 0.43/1.00 assign(lrs_ticks,-1). 0.43/1.00 assign(sos_limit,10000). 0.43/1.00 assign(order,kbo). 0.43/1.00 set(lex_order_vars). 0.43/1.00 clear(print_given). 0.43/1.00 0.43/1.00 % formulas(sos). % not echoed (19 formulas) 0.43/1.00 0.43/1.00 ============================== end of input ========================== 0.43/1.00 0.43/1.00 % From the command line: assign(max_seconds, 960). 0.43/1.00 0.43/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.43/1.00 0.43/1.00 % Formulas that are not ordinary clauses: 0.43/1.00 1 (all A star(A) = addition(one,multiplication(A,star(A)))) # label(star_unfold1) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 2 (all C all B all A addition(addition(A,B),C) = addition(A,addition(B,C))) # label(additive_associativity) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 3 (all A addition(A,A) = A) # label(idempotence) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 4 (all A all B addition(B,A) = addition(A,B)) # label(additive_commutativity) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 5 (all A all B all C (leq(C,addition(multiplication(A,C),B)) -> leq(C,multiplication(strong_iteration(A),B)))) # label(infty_coinduction) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 6 (all A all B all C (leq(addition(multiplication(C,A),B),C) -> leq(multiplication(B,star(A)),C))) # label(star_induction2) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 7 (all A addition(star(A),multiplication(strong_iteration(A),zero)) = strong_iteration(A)) # label(isolation) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 8 (all A all B all C (leq(addition(multiplication(A,C),B),C) -> leq(multiplication(star(A),B),C))) # label(star_induction1) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 9 (all A all B (addition(A,B) = B <-> leq(A,B))) # label(order) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 10 (all A A = multiplication(A,one)) # label(multiplicative_right_identity) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 11 (all A zero = multiplication(zero,A)) # label(left_annihilation) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 12 (all A A = addition(A,zero)) # label(additive_identity) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 13 (all A all B all C multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C))) # label(multiplicative_associativity) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 14 (all A addition(multiplication(A,strong_iteration(A)),one) = strong_iteration(A)Alarm clock 119.66/120.04 Prover9 interrupted 119.66/120.04 EOF