0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s 0.12/0.33 % Computer : n008.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 : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Mon Jul 3 08:59:19 EDT 2023 0.12/0.33 % CPUTime : 0.73/0.99 ============================== Prover9 =============================== 0.73/0.99 Prover9 (32) version 2009-11A, November 2009. 0.73/0.99 Process 13651 was started by sandbox2 on n008.cluster.edu, 0.73/0.99 Mon Jul 3 08:59:20 2023 0.73/0.99 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1440 -f /tmp/Prover9_13496_n008.cluster.edu". 0.73/0.99 ============================== end of head =========================== 0.73/0.99 0.73/0.99 ============================== INPUT ================================= 0.73/0.99 0.73/0.99 % Reading from file /tmp/Prover9_13496_n008.cluster.edu 0.73/0.99 0.73/0.99 set(prolog_style_variables). 0.73/0.99 set(auto2). 0.73/0.99 % set(auto2) -> set(auto). 0.73/0.99 % set(auto) -> set(auto_inference). 0.73/0.99 % set(auto) -> set(auto_setup). 0.73/0.99 % set(auto_setup) -> set(predicate_elim). 0.73/0.99 % set(auto_setup) -> assign(eq_defs, unfold). 0.73/0.99 % set(auto) -> set(auto_limits). 0.73/0.99 % set(auto_limits) -> assign(max_weight, "100.000"). 0.73/0.99 % set(auto_limits) -> assign(sos_limit, 20000). 0.73/0.99 % set(auto) -> set(auto_denials). 0.73/0.99 % set(auto) -> set(auto_process). 0.73/0.99 % set(auto2) -> assign(new_constants, 1). 0.73/0.99 % set(auto2) -> assign(fold_denial_max, 3). 0.73/0.99 % set(auto2) -> assign(max_weight, "200.000"). 0.73/0.99 % set(auto2) -> assign(max_hours, 1). 0.73/0.99 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.73/0.99 % set(auto2) -> assign(max_seconds, 0). 0.73/0.99 % set(auto2) -> assign(max_minutes, 5). 0.73/0.99 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.73/0.99 % set(auto2) -> set(sort_initial_sos). 0.73/0.99 % set(auto2) -> assign(sos_limit, -1). 0.73/0.99 % set(auto2) -> assign(lrs_ticks, 3000). 0.73/0.99 % set(auto2) -> assign(max_megs, 400). 0.73/0.99 % set(auto2) -> assign(stats, some). 0.73/0.99 % set(auto2) -> clear(echo_input). 0.73/0.99 % set(auto2) -> set(quiet). 0.73/0.99 % set(auto2) -> clear(print_initial_clauses). 0.73/0.99 % set(auto2) -> clear(print_given). 0.73/0.99 assign(lrs_ticks,-1). 0.73/0.99 assign(sos_limit,10000). 0.73/0.99 assign(order,kbo). 0.73/0.99 set(lex_order_vars). 0.73/0.99 clear(print_given). 0.73/0.99 0.73/0.99 % formulas(sos). % not echoed (44 formulas) 0.73/0.99 0.73/0.99 ============================== end of input ========================== 0.73/0.99 0.73/0.99 % From the command line: assign(max_seconds, 1440). 0.73/0.99 0.73/0.99 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.73/0.99 0.73/0.99 % Formulas that are not ordinary clauses: 0.73/0.99 1 (all U all V all W (less_than(U,V) & less_than(V,W) -> less_than(U,W))) # label(transitivity) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 2 (all U all V (less_than(U,V) | less_than(V,U))) # label(totality) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 3 (all U less_than(U,U)) # label(reflexivity) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 4 (all U less_than(bottom,U)) # label(bottom_smallest) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 5 (all U all V (strictly_less_than(U,V) <-> less_than(U,V) & -less_than(V,U))) # label(stricly_smaller_definition) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 6 (all U -contains_slb(create_slb,U)) # label(ax20) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 7 (all U all V all W isnonempty_slb(insert_slb(U,pair(V,W)))) # label(ax19) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 8 (all U all V all W W = lookup_slb(insert_slb(U,pair(V,W)),V)) # label(ax26) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 9 (all U all V all W all X (contains_slb(U,W) & V != W -> lookup_slb(insert_slb(U,pair(V,X)),W) = lookup_slb(U,W))) # label(ax27) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 10 (all U create_slb = update_slb(create_slb,U)) # label(ax28) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 11 (all U all V all W all X (contains_slb(U,W) & V != W -> insert_slb(remove_slb(U,W),pair(V,X)) = remove_slb(insert_slb(U,pair(V,X)),W))) # label(ax25) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 12 (all U all V all W all X (strictly_less_than(X,W) -> update_slb(insert_slb(U,pair(V,X)),W) = insert_slb(update_slb(U,W),pair(V,W)))) # label(ax29) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 13 (all U all V all W all X (contains_slb(insert_slb(U,pair(V,X)),W) <-> W = V | contains_slb(U,W))) # label(ax21) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 14 (all U all V -pair_in_list(create_slb,U,V)) # label(ax22) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 15 (all U all V all W all X (less_than(W,X) -> insert_slb(update_slb(U,W),pair(V,X)) = update_slb(insert_slb(U,pair(V,X)),W))) # label(ax30) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 16 (all U all V all W all X all Y (X = Y & V = W | pair_in_list(U,W,Y) <-> pair_in_list(insert_slb(U,pair(V,X)),W,Y))) # label(ax23) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 17 (all U all V all W remove_slb(insert_slb(U,pair(V,W)),V) = U) # label(ax24) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 18 (all U all V all W all X (create_slb != V & contains_slb(V,findmin_pqp_res(U)) & strictly_less_than(findmin_pqp_res(U),lookup_slb(V,findmin_pqp_res(U))) -> findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),bad))) # label(ax48) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 19 (all U all V all W (succ_cpq(U,V) -> succ_cpq(U,remove_cpq(V,W)))) # label(ax33) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 20 (all U all V all W all X (contains_slb(V,X) & less_than(lookup_slb(V,X),X) -> remove_cpq(triple(U,V,W),X) = triple(remove_pqp(U,X),remove_slb(V,X),W))) # label(ax44) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 21 (all U all V (succ_cpq(U,V) -> succ_cpq(U,removemin_cpq_eff(V)))) # label(ax35) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 22 (all U all V findmin_cpq_res(triple(U,create_slb,V)) = bottom) # label(ax50) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 23 (all U all V (succ_cpq(U,V) -> succ_cpq(U,findmin_cpq_eff(V)))) # label(ax34) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 24 (all U succ_cpq(U,U)) # label(ax31) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 25 (all U removemin_cpq_eff(U) = remove_cpq(findmin_cpq_eff(U),findmin_cpq_res(U))) # label(ax52) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 26 (all U all V all W all X (-contains_slb(V,X) -> remove_cpq(triple(U,V,W),X) = triple(U,V,bad))) # label(ax43) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 27 (all U all V all W all X (contains_cpq(triple(U,V,W),X) <-> contains_slb(V,X))) # label(ax39) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 28 (all U all V findmin_cpq_eff(triple(U,create_slb,V)) = triple(U,create_slb,bad)) # label(ax46) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 29 (all U all V all W (-ok(triple(U,V,W)) -> bad = W)) # label(ax41) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 30 (all U all V all W all X (create_slb != V -> findmin_pqp_res(U) = findmin_cpq_res(triple(U,V,W)))) # label(ax51) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 31 (all U all V all W all X triple(insert_pqp(U,X),insert_slb(V,pair(X,bottom)),W) = insert_cpq(triple(U,V,W),X)) # label(ax42) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 32 (all U all V check_cpq(triple(U,create_slb,V))) # label(ax36) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 33 (all U findmin_cpq_res(U) = removemin_cpq_res(U)) # label(ax53) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 34 (all U all V all W (succ_cpq(U,V) -> succ_cpq(U,insert_cpq(V,W)))) # label(ax32) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 35 (all U all V all W all X (strictly_less_than(X,lookup_slb(V,X)) & contains_slb(V,X) -> triple(remove_pqp(U,X),remove_slb(V,X),bad) = remove_cpq(triple(U,V,W),X))) # label(ax45) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 36 (all U all V all W all X (contains_slb(V,findmin_pqp_res(U)) & less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U)) & create_slb != V -> findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),W))) # label(ax49) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 37 (all U all V all W all X all Y (less_than(Y,X) -> (check_cpq(triple(U,V,W)) <-> check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))))) # label(ax37) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 38 (all U all V all W all X (-contains_slb(V,findmin_pqp_res(U)) & V != create_slb -> triple(U,update_slb(V,findmin_pqp_res(U)),bad) = findmin_cpq_eff(triple(U,V,W)))) # label(ax47) # label(axiom) # label(non_clause). [assumption]. 0.73/0.99 39 (all U all V (ok(triple(U,V,bad)) <-> $F)) # label(ax40) # label(axiom) # label(non_clause). [assumption]. 8.43/8.70 40 (all U all V all W all X all Y (strictly_less_than(X,Y) -> (check_cpq(triple(U,insert_slb(V,pair(X,Y)),W)) <-> $F))) # label(ax38) # label(axiom) # label(non_clause). [assumption]. 8.43/8.70 41 (all U all V all W (check_cpq(triple(U,V,W)) <-> (all X all Y (pair_in_list(V,X,Y) -> less_than(Y,X))))) # label(l43_li4142) # label(lemma) # label(non_clause). [assumption]. 8.43/8.70 42 (all U all V all W all X (contains_slb(V,X) & strictly_less_than(X,findmin_cpq_res(triple(U,V,W))) -> (exists Y (less_than(findmin_pqp_res(U),Y) & pair_in_list(update_slb(V,findmin_pqp_res(U)),X,Y))) | pair_in_list(update_slb(V,findmin_pqp_res(U)),X,findmin_pqp_res(U)))) # label(l43_l44) # label(lemma) # label(non_clause). [assumption]. 8.43/8.70 43 -(all U all V all W ((exists X (contains_cpq(triple(U,V,W),X) & strictly_less_than(X,findmin_cpq_res(triple(U,V,W))))) -> -check_cpq(findmin_cpq_eff(triple(U,V,W))))) # label(l43_co) # label(negated_conjecture) # label(non_clause). [assumption]. 8.43/8.70 8.43/8.70 ============================== end of process non-clausal formulas === 8.43/8.70 8.43/8.70 ============================== PROCESS INITIAL CLAUSES =============== 8.43/8.70 8.43/8.70 ============================== PREDICATE ELIMINATION ================= 8.43/8.70 8.43/8.70 ============================== end predicate elimination ============= 8.43/8.70 8.43/8.70 Auto_denials: (non-Horn, no changes). 8.43/8.70 8.43/8.70 Term ordering decisions: 8.43/8.70 Function symbol KB weights: create_slb=1. bad=1. bottom=1. c1=1. c2=1. c3=1. c4=1. insert_slb=1. pair=1. update_slb=1. lookup_slb=1. remove_cpq=1. remove_slb=1. insert_cpq=1. remove_pqp=1. insert_pqp=1. findmin_pqp_res=1. findmin_cpq_eff=1. findmin_cpq_res=1. removemin_cpq_eff=1. removemin_cpq_res=1. triple=1. f1=1. f2=1. f3=1. 8.43/8.70 8.43/8.70 ============================== end of process initial clauses ======== 8.43/8.70 8.43/8.70 ============================== CLAUSES FOR SEARCH ==================== 8.43/8.70 8.43/8.70 ============================== end of clauses for search ============= 8.43/8.70 8.43/8.70 ============================== SEARCH ================================ 8.43/8.70 8.43/8.70 % Starting search at 0.02 seconds. 8.43/8.70 8.43/8.70 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 25 (0.00 of 0.30 sec). 8.43/8.70 8.43/8.70 Low Water (keep): wt=75.000, iters=3363 8.43/8.70 8.43/8.70 Low Water (keep): wt=58.000, iters=3378 8.43/8.70 8.43/8.70 Low Water (keep): wt=50.000, iters=3391 8.43/8.70 8.43/8.70 Low Water (keep): wt=47.000, iters=3360 8.43/8.70 8.43/8.70 Low Water (keep): wt=43.000, iters=3333 8.43/8.70 8.43/8.70 Low Water (keep): wt=42.000, iters=3549 8.43/8.70 8.43/8.70 Low Water (keep): wt=40.000, iters=3334 8.43/8.70 8.43/8.70 Low Water (keep): wt=37.000, iters=3519 8.43/8.70 8.43/8.70 Low Water (keep): wt=36.000, iters=3456 8.43/8.70 8.43/8.70 Low Water (keep): wt=34.000, iters=3361 8.43/8.70 8.43/8.70 Low Water (keep): wt=33.000, iters=3341 8.43/8.70 8.43/8.70 Low Water (keep): wt=32.000, iters=3341 8.43/8.70 8.43/8.70 Low Water (keep): wt=30.000, iters=3339 8.43/8.70 8.43/8.70 Low Water (keep): wt=28.000, iters=3342 8.43/8.70 8.43/8.70 Low Water (keep): wt=27.000, iters=3348 8.43/8.70 8.43/8.70 Low Water (keep): wt=25.000, iters=3333 8.43/8.70 8.43/8.70 Low Water (displace): id=4322, wt=113.000 8.43/8.70 8.43/8.70 Low Water (displace): id=4558, wt=106.000 8.43/8.70 8.43/8.70 Low Water (displace): id=4557, wt=100.000 8.43/8.70 8.43/8.70 Low Water (displace): id=9068, wt=83.000 8.43/8.70 8.43/8.70 Low Water (displace): id=9081, wt=79.000 8.43/8.70 8.43/8.70 Low Water (displace): id=9053, wt=78.000 8.43/8.70 8.43/8.70 Low Water (displace): id=9083, wt=75.000 8.43/8.70 8.43/8.70 Low Water (keep): wt=24.000, iters=3380 8.43/8.70 8.43/8.70 Low Water (displace): id=9052, wt=74.000 8.43/8.70 8.43/8.70 Low Water (displace): id=9040, wt=73.000 8.43/8.70 8.43/8.70 Low Water (displace): id=9442, wt=71.000 8.43/8.70 8.43/8.70 Low Water (displace): id=8177, wt=70.000 8.43/8.70 8.43/8.70 Low Water (displace): id=9450, wt=69.000 8.43/8.70 8.43/8.70 Low Water (displace): id=9444, wt=67.000 8.43/8.70 8.43/8.70 Low Water (displace): id=8176, wt=66.000 8.43/8.70 8.43/8.70 Low Water (displace): id=10084, wt=65.000 8.43/8.70 8.43/8.70 Low Water (displace): id=10182, wt=63.000 8.43/8.70 8.43/8.70 Low Water (displace): id=5978, wt=62.000 8.43/8.70 8.43/8.70 Low Water (displace): id=8157, wt=61.000 8.43/8.70 8.43/8.70 Low Water (displace): id=10267, wt=59.000 8.43/8.70 8.43/8.70 Low Water (keep): wt=23.000, iters=3418 8.43/8.70 8.43/8.70 Low Water (displace): id=5977, wt=58.000 8.43/8.70 8.43/8.70 Low Water (displace): id=10479, wt=57.000 8.43/8.70 8.43/8.70 Low Water (displace): id=13875, wt=15.000 8.43/8.70 8.43/8.70 Low Water (displace): id=14021, wt=14.000 8.43/8.70 8.43/8.70 Low Water (keep): wt=22.000, iters=3352 8.43/8.70 8.43/8.70 Low Water (keep): wt=21.000, iters=3348 8.43/8.70 8.43/8.70 Low Water (keep): wt=19.000, iters=3414 8.43/8.70 8.43/8.70 Low Water (keep): wt=18.000, iters=3424 8.43/8.70 8.43/8.70 Low Water (keep): wt=17.000, iters=3378 8.43/8.70 8.43/8.70 Low Water (keep): wt=16.000, iters=Alarm clock 179.76/180.01 Prover9 interrupted 179.76/180.02 EOF