0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s 0.13/0.34 % Computer : n006.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 : 1440 0.13/0.34 % WCLimit : 180 0.13/0.34 % DateTime : Mon Jul 3 11:02:06 EDT 2023 0.13/0.34 % CPUTime : 0.82/1.13 ============================== Prover9 =============================== 0.82/1.13 Prover9 (32) version 2009-11A, November 2009. 0.82/1.13 Process 29548 was started by sandbox2 on n006.cluster.edu, 0.82/1.13 Mon Jul 3 11:02:07 2023 0.82/1.13 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1440 -f /tmp/Prover9_29390_n006.cluster.edu". 0.82/1.13 ============================== end of head =========================== 0.82/1.13 0.82/1.13 ============================== INPUT ================================= 0.82/1.13 0.82/1.13 % Reading from file /tmp/Prover9_29390_n006.cluster.edu 0.82/1.13 0.82/1.13 set(prolog_style_variables). 0.82/1.13 set(auto2). 0.82/1.13 % set(auto2) -> set(auto). 0.82/1.13 % set(auto) -> set(auto_inference). 0.82/1.13 % set(auto) -> set(auto_setup). 0.82/1.13 % set(auto_setup) -> set(predicate_elim). 0.82/1.13 % set(auto_setup) -> assign(eq_defs, unfold). 0.82/1.13 % set(auto) -> set(auto_limits). 0.82/1.13 % set(auto_limits) -> assign(max_weight, "100.000"). 0.82/1.13 % set(auto_limits) -> assign(sos_limit, 20000). 0.82/1.13 % set(auto) -> set(auto_denials). 0.82/1.13 % set(auto) -> set(auto_process). 0.82/1.13 % set(auto2) -> assign(new_constants, 1). 0.82/1.13 % set(auto2) -> assign(fold_denial_max, 3). 0.82/1.13 % set(auto2) -> assign(max_weight, "200.000"). 0.82/1.13 % set(auto2) -> assign(max_hours, 1). 0.82/1.13 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.82/1.13 % set(auto2) -> assign(max_seconds, 0). 0.82/1.13 % set(auto2) -> assign(max_minutes, 5). 0.82/1.13 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.82/1.13 % set(auto2) -> set(sort_initial_sos). 0.82/1.13 % set(auto2) -> assign(sos_limit, -1). 0.82/1.13 % set(auto2) -> assign(lrs_ticks, 3000). 0.82/1.13 % set(auto2) -> assign(max_megs, 400). 0.82/1.13 % set(auto2) -> assign(stats, some). 0.82/1.13 % set(auto2) -> clear(echo_input). 0.82/1.13 % set(auto2) -> set(quiet). 0.82/1.13 % set(auto2) -> clear(print_initial_clauses). 0.82/1.13 % set(auto2) -> clear(print_given). 0.82/1.13 assign(lrs_ticks,-1). 0.82/1.13 assign(sos_limit,10000). 0.82/1.13 assign(order,kbo). 0.82/1.13 set(lex_order_vars). 0.82/1.13 clear(print_given). 0.82/1.13 0.82/1.13 % formulas(sos). % not echoed (17 formulas) 0.82/1.13 0.82/1.13 ============================== end of input ========================== 0.82/1.13 0.82/1.13 % From the command line: assign(max_seconds, 1440). 0.82/1.13 0.82/1.13 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.82/1.13 0.82/1.13 % Formulas that are not ordinary clauses: 0.82/1.13 1 (all C1 all C2 ((exists P meet(P,C1,C2)) -> (exists C C = sum(C1,C2)))) # label(c8) # label(axiom) # label(non_clause). [assumption]. 0.82/1.13 2 (all C all C1 all C2 all P (C = sum(C1,C2) & meet(P,C1,C2) & closed(C) -> (all Q (end_point(Q,C1) -> meet(Q,C1,C2))))) # label(c7) # label(axiom) # label(non_clause). [assumption]. 0.82/1.13 3 (all C exists P inner_point(P,C)) # label(c3) # label(axiom) # label(non_clause). [assumption]. 0.82/1.13 4 (all C all C1 ((all P (incident_c(P,C1) -> incident_c(P,C))) <-> part_of(C1,C))) # label(part_of_defn) # label(axiom) # label(non_clause). [assumption]. 0.82/1.13 5 (all C ((exists P end_point(P,C)) <-> open(C))) # label(open_defn) # label(axiom) # label(non_clause). [assumption]. 0.82/1.13 6 (all C all C1 (part_of(C1,C) & C != C1 -> open(C1))) # label(c1) # label(axiom) # label(non_clause). [assumption]. 0.82/1.13 7 (all P all C (inner_point(P,C) <-> incident_c(P,C) & -end_point(P,C))) # label(inner_point_defn) # label(axiom) # label(non_clause). [assumption]. 0.82/1.13 8 (all C all P (end_point(P,C) -> (exists Q (end_point(Q,C) & Q != P)))) # label(c6) # label(axiom) # label(non_clause). [assumption]. 0.82/1.13 9 (all P all C all C1 (meet(P,C,C1) <-> incident_c(P,C) & (all Q (incident_c(Q,C1) & incident_c(Q,C) -> end_point(Q,C1) & end_point(Q,C))) & incident_c(P,C1))) # label(meet_defn) # label(axiom) # label(non_clause). [assumption]. 0.82/1.13 10 (all C all P all Q all R (end_point(P,C) & end_point(R,C) & end_point(Q,C) -> R = P | R = Q | Q = P)) # label(c5) # label(axiom) # label(non_clause). [assumption]. 0.82/1.13 11 (all P all C (incident_c(P,C) & (all C1 all C2 (part_of(C1,C) & incident_c(P,C2) & incident_c(P,C1) & part_of(C2,C) -> part_of(C1,C2) | part_of(C2,C1))) <-> end_point(P,C))) # label(end_point_defn) # label(axiom) # label(non_clause). [assumption]. 0.82/1.13 12 (all C all C1 ((all P (incident_c(P,C) <-> incident_c(P,C1))) -> C1 = C)) # label(c9) # label(axiom) # label(non_clause). [assumption]. 0.82/1.13 13 (all C all C1 all C2 ((all Q (incident_c(Q,C1) | incident_c(Q,C2) <-> incident_c(Q,C))) <-> C = sum(C1,C2))) # label(sum_defn) # label(axiom) # label(non_clause). [assumption]. 8.67/8.98 14 (all C all P (inner_point(P,C) -> (exists C1 exists C2 (C = sum(C1,C2) & meet(P,C1,C2))))) # label(c4) # label(axiom) # label(non_clause). [assumption]. 8.67/8.98 15 (all C (-(exists P end_point(P,C)) <-> closed(C))) # label(closed_defn) # label(axiom) # label(non_clause). [assumption]. 8.67/8.98 16 (all C all C1 all C2 all C3 (part_of(C3,C) & (exists P (end_point(P,C3) & end_point(P,C2) & end_point(P,C1))) & part_of(C2,C) & part_of(C1,C) -> part_of(C2,C3) | part_of(C1,C2) | part_of(C3,C1) | part_of(C1,C3) | part_of(C2,C1) | part_of(C3,C2))) # label(c2) # label(axiom) # label(non_clause). [assumption]. 8.67/8.98 17 -(all C1 all C2 all Cpp all P (part_of(C2,C1) & incident_c(P,C2) & meet(P,C1,Cpp) -> meet(P,C2,Cpp))) # label(corollary_2_12) # label(negated_conjecture) # label(non_clause). [assumption]. 8.67/8.98 8.67/8.98 ============================== end of process non-clausal formulas === 8.67/8.98 8.67/8.98 ============================== PROCESS INITIAL CLAUSES =============== 8.67/8.98 8.67/8.98 ============================== PREDICATE ELIMINATION ================= 8.67/8.98 18 -inner_point(A,B) | -end_point(A,B) # label(inner_point_defn) # label(axiom). [clausify(7)]. 8.67/8.98 19 inner_point(f2(A),A) # label(c3) # label(axiom). [clausify(3)]. 8.67/8.98 Derived: -end_point(f2(A),A). [resolve(18,a,19,a)]. 8.67/8.98 20 -inner_point(A,B) | incident_c(A,B) # label(inner_point_defn) # label(axiom). [clausify(7)]. 8.67/8.98 Derived: incident_c(f2(A),A). [resolve(20,a,19,a)]. 8.67/8.98 21 inner_point(A,B) | -incident_c(A,B) | end_point(A,B) # label(inner_point_defn) # label(axiom). [clausify(7)]. 8.67/8.98 22 -inner_point(A,B) | meet(A,f11(B,A),f12(B,A)) # label(c4) # label(axiom). [clausify(14)]. 8.67/8.98 Derived: meet(f2(A),f11(A,f2(A)),f12(A,f2(A))). [resolve(22,a,19,a)]. 8.67/8.98 Derived: meet(A,f11(B,A),f12(B,A)) | -incident_c(A,B) | end_point(A,B). [resolve(22,a,21,a)]. 8.67/8.98 23 -inner_point(A,B) | sum(f11(B,A),f12(B,A)) = B # label(c4) # label(axiom). [clausify(14)]. 8.67/8.98 Derived: sum(f11(A,f2(A)),f12(A,f2(A))) = A. [resolve(23,a,19,a)]. 8.67/8.98 Derived: sum(f11(A,B),f12(A,B)) = A | -incident_c(B,A) | end_point(B,A). [resolve(23,a,21,a)]. 8.67/8.98 24 -end_point(A,B) | -closed(B) # label(closed_defn) # label(axiom). [clausify(15)]. 8.67/8.98 25 end_point(f13(A),A) | closed(A) # label(closed_defn) # label(axiom). [clausify(15)]. 8.67/8.98 Derived: -end_point(A,B) | end_point(f13(B),B). [resolve(24,b,25,b)]. 8.67/8.98 26 sum(A,B) != C | -meet(D,A,B) | -closed(C) | -end_point(E,A) | meet(E,A,B) # label(c7) # label(axiom). [clausify(2)]. 8.67/8.98 Derived: sum(A,B) != C | -meet(D,A,B) | -end_point(E,A) | meet(E,A,B) | end_point(f13(C),C). [resolve(26,c,25,b)]. 8.67/8.98 27 end_point(f4(A),A) | -open(A) # label(open_defn) # label(axiom). [clausify(5)]. 8.67/8.98 28 -end_point(A,B) | open(B) # label(open_defn) # label(axiom). [clausify(5)]. 8.67/8.98 Derived: end_point(f4(A),A) | -end_point(B,A). [resolve(27,b,28,b)]. 8.67/8.98 29 -part_of(A,B) | B = A | open(A) # label(c1) # label(axiom). [clausify(6)]. 8.67/8.98 Derived: -part_of(A,B) | B = A | end_point(f4(A),A). [resolve(29,c,27,b)]. 8.67/8.98 8.67/8.98 ============================== end predicate elimination ============= 8.67/8.98 8.67/8.98 Auto_denials: (non-Horn, no changes). 8.67/8.98 8.67/8.98 Term ordering decisions: 8.67/8.98 Function symbol KB weights: c10=1. c11=1. c12=1. c13=1. sum=1. f1=1. f3=1. f5=1. f7=1. f8=1. f9=1. f11=1. f12=1. f2=1. f4=1. f13=1. f6=1. f10=1. 8.67/8.98 8.67/8.98 ============================== end of process initial clauses ======== 8.67/8.98 8.67/8.98 ============================== CLAUSES FOR SEARCH ==================== 8.67/8.98 8.67/8.98 ============================== end of clauses for search ============= 8.67/8.98 8.67/8.98 ============================== SEARCH ================================ 8.67/8.98 8.67/8.98 % Starting search at 0.01 seconds. 8.67/8.98 8.67/8.98 Low Water (keep): wt=52.000, iters=3336 8.67/8.98 8.67/8.98 Low Water (keep): wt=30.000, iters=3351 8.67/8.98 8.67/8.98 Low Water (keep): wt=29.000, iters=3430 8.67/8.98 8.67/8.98 Low Water (keep): wt=27.000, iters=3409 8.67/8.98 8.67/8.98 Low Water (keep): wt=26.000, iters=3384 8.67/8.98 8.67/8.98 Low Water (keep): wt=25.000, iters=3344 8.67/8.98 8.67/8.98 Low Water (keep): wt=15.000, iters=3441 8.67/8.98 8.67/8.98 Low Water (keep): wt=14.000, iters=3384 8.67/8.98 8.67/8.98 Low Water (keep): wt=13.000, iters=3357 8.67/8.98 8.67/8.98 Low Water (keep): wt=12.000, iters=3345 8.67/8.98 8.67/8.98 Low Water (displace): id=2939, wt=81.000 8.67/8.98 8.67/8.98 Low Water (displace): id=12599, wt=28.000 8.67/8.98 8.67/8.98 LAlarm clock 179.78/180.04 Prover9 interrupted 179.78/180.04 EOF