0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s 0.14/0.33 % Computer : n015.cluster.edu 0.14/0.33 % Model : x86_64 x86_64 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.33 % Memory : 8042.1875MB 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.33 % CPULimit : 960 0.14/0.33 % WCLimit : 120 0.14/0.33 % DateTime : Tue Aug 9 05:20:41 EDT 2022 0.14/0.33 % CPUTime : 0.45/1.03 ============================== Prover9 =============================== 0.45/1.03 Prover9 (32) version 2009-11A, November 2009. 0.45/1.03 Process 14767 was started by sandbox on n015.cluster.edu, 0.45/1.03 Tue Aug 9 05:20:42 2022 0.45/1.03 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 960 -f /tmp/Prover9_14360_n015.cluster.edu". 0.45/1.03 ============================== end of head =========================== 0.45/1.03 0.45/1.03 ============================== INPUT ================================= 0.45/1.03 0.45/1.03 % Reading from file /tmp/Prover9_14360_n015.cluster.edu 0.45/1.03 0.45/1.03 set(prolog_style_variables). 0.45/1.03 set(auto2). 0.45/1.03 % set(auto2) -> set(auto). 0.45/1.03 % set(auto) -> set(auto_inference). 0.45/1.03 % set(auto) -> set(auto_setup). 0.45/1.03 % set(auto_setup) -> set(predicate_elim). 0.45/1.03 % set(auto_setup) -> assign(eq_defs, unfold). 0.45/1.03 % set(auto) -> set(auto_limits). 0.45/1.03 % set(auto_limits) -> assign(max_weight, "100.000"). 0.45/1.03 % set(auto_limits) -> assign(sos_limit, 20000). 0.45/1.03 % set(auto) -> set(auto_denials). 0.45/1.03 % set(auto) -> set(auto_process). 0.45/1.03 % set(auto2) -> assign(new_constants, 1). 0.45/1.03 % set(auto2) -> assign(fold_denial_max, 3). 0.45/1.03 % set(auto2) -> assign(max_weight, "200.000"). 0.45/1.03 % set(auto2) -> assign(max_hours, 1). 0.45/1.03 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.45/1.03 % set(auto2) -> assign(max_seconds, 0). 0.45/1.03 % set(auto2) -> assign(max_minutes, 5). 0.45/1.03 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.45/1.03 % set(auto2) -> set(sort_initial_sos). 0.45/1.03 % set(auto2) -> assign(sos_limit, -1). 0.45/1.03 % set(auto2) -> assign(lrs_ticks, 3000). 0.45/1.03 % set(auto2) -> assign(max_megs, 400). 0.45/1.03 % set(auto2) -> assign(stats, some). 0.45/1.03 % set(auto2) -> clear(echo_input). 0.45/1.03 % set(auto2) -> set(quiet). 0.45/1.03 % set(auto2) -> clear(print_initial_clauses). 0.45/1.03 % set(auto2) -> clear(print_given). 0.45/1.03 assign(lrs_ticks,-1). 0.45/1.03 assign(sos_limit,10000). 0.45/1.03 assign(order,kbo). 0.45/1.03 set(lex_order_vars). 0.45/1.03 clear(print_given). 0.45/1.03 0.45/1.03 % formulas(sos). % not echoed (17 formulas) 0.45/1.03 0.45/1.03 ============================== end of input ========================== 0.45/1.03 0.45/1.03 % From the command line: assign(max_seconds, 960). 0.45/1.03 0.45/1.03 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.45/1.03 0.45/1.03 % Formulas that are not ordinary clauses: 0.45/1.03 1 (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]. 0.45/1.03 2 (all C1 all C2 ((exists P meet(P,C1,C2)) -> (exists C C = sum(C1,C2)))) # label(c8) # label(axiom) # label(non_clause). [assumption]. 0.45/1.03 3 (all P all C (inner_point(P,C) <-> -end_point(P,C) & incident_c(P,C))) # label(inner_point_defn) # label(axiom) # label(non_clause). [assumption]. 0.45/1.03 4 (all C all P all Q all R (end_point(Q,C) & end_point(R,C) & end_point(P,C) -> P = R | R = Q | Q = P)) # label(c5) # label(axiom) # label(non_clause). [assumption]. 0.45/1.03 5 (all C all C1 all C2 all C3 (part_of(C1,C) & part_of(C3,C) & (exists P (end_point(P,C3) & end_point(P,C2) & end_point(P,C1))) & part_of(C2,C) -> part_of(C3,C2) | part_of(C1,C2) | part_of(C2,C1) | part_of(C1,C3) | part_of(C3,C1) | part_of(C2,C3))) # label(c2) # label(axiom) # label(non_clause). [assumption]. 0.45/1.03 6 (all C ((exists P end_point(P,C)) <-> open(C))) # label(open_defn) # label(axiom) # label(non_clause). [assumption]. 0.45/1.03 7 (all C all C1 ((all P (incident_c(P,C) <-> incident_c(P,C1))) -> C1 = C)) # label(c9) # label(axiom) # label(non_clause). [assumption]. 0.45/1.03 8 (all C (closed(C) <-> -(exists P end_point(P,C)))) # label(closed_defn) # label(axiom) # label(non_clause). [assumption]. 0.45/1.03 9 (all P all C all C1 (meet(P,C,C1) <-> incident_c(P,C) & incident_c(P,C1) & (all Q (incident_c(Q,C) & incident_c(Q,C1) -> end_point(Q,C1) & end_point(Q,C))))) # label(meet_defn) # label(axiom) # label(non_clause). [assumption]. 0.45/1.03 10 (all C all C1 all C2 all P (meet(P,C1,C2) & sum(C1,C2) = C & closed(C) -> (all Q (end_point(Q,C1) -> meet(Q,C1,C2))))) # label(c7) # label(axiom) # label(non_clause). [assumption]. 0.45/1.03 11 (all C all P (end_point(P,C) -> (exists Q (end_point(Q,C) & P != Q)))) # label(c6) # label(axiom) # label(non_clause). [assumption]. 0.45/1.03 12 (all C all C1 all C2 (C = sum(C1,C2) <-> (all Q (incident_c(Q,C) <-> incident_c(Q,C2) | incident_c(Q,C1))))) # label(sum_defn) # label(axiom) # label(non_clause). [assumption]. 2.14/2.45 13 (all C exists P inner_point(P,C)) # label(c3) # label(axiom) # label(non_clause). [assumption]. 2.14/2.45 14 (all C all C1 (part_of(C1,C) & C != C1 -> open(C1))) # label(c1) # label(axiom) # label(non_clause). [assumption]. 2.14/2.45 15 (all C all P (inner_point(P,C) -> (exists C1 exists C2 (meet(P,C1,C2) & sum(C1,C2) = C)))) # label(c4) # label(axiom) # label(non_clause). [assumption]. 2.14/2.45 16 (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(C2,C1) | part_of(C1,C2))) <-> end_point(P,C))) # label(end_point_defn) # label(axiom) # label(non_clause). [assumption]. 2.14/2.45 17 -(all C all Cpp all P (part_of(Cpp,C) & end_point(P,C) & incident_c(P,Cpp) -> end_point(P,Cpp))) # label(theorem_2_10) # label(negated_conjecture) # label(non_clause). [assumption]. 2.14/2.45 2.14/2.45 ============================== end of process non-clausal formulas === 2.14/2.45 2.14/2.45 ============================== PROCESS INITIAL CLAUSES =============== 2.14/2.45 2.14/2.45 ============================== PREDICATE ELIMINATION ================= 2.14/2.45 18 -inner_point(A,B) | -end_point(A,B) # label(inner_point_defn) # label(axiom). [clausify(3)]. 2.14/2.45 19 inner_point(f9(A),A) # label(c3) # label(axiom). [clausify(13)]. 2.14/2.45 Derived: -end_point(f9(A),A). [resolve(18,a,19,a)]. 2.14/2.45 20 -inner_point(A,B) | incident_c(A,B) # label(inner_point_defn) # label(axiom). [clausify(3)]. 2.14/2.45 Derived: incident_c(f9(A),A). [resolve(20,a,19,a)]. 2.14/2.45 21 inner_point(A,B) | end_point(A,B) | -incident_c(A,B) # label(inner_point_defn) # label(axiom). [clausify(3)]. 2.14/2.45 22 -inner_point(A,B) | meet(A,f10(B,A),f11(B,A)) # label(c4) # label(axiom). [clausify(15)]. 2.14/2.45 Derived: meet(f9(A),f10(A,f9(A)),f11(A,f9(A))). [resolve(22,a,19,a)]. 2.14/2.45 Derived: meet(A,f10(B,A),f11(B,A)) | end_point(A,B) | -incident_c(A,B). [resolve(22,a,21,a)]. 2.14/2.45 23 -inner_point(A,B) | sum(f10(B,A),f11(B,A)) = B # label(c4) # label(axiom). [clausify(15)]. 2.14/2.45 Derived: sum(f10(A,f9(A)),f11(A,f9(A))) = A. [resolve(23,a,19,a)]. 2.14/2.45 Derived: sum(f10(A,B),f11(A,B)) = A | end_point(B,A) | -incident_c(B,A). [resolve(23,a,21,a)]. 2.14/2.45 24 -closed(A) | -end_point(B,A) # label(closed_defn) # label(axiom). [clausify(8)]. 2.14/2.45 25 closed(A) | end_point(f5(A),A) # label(closed_defn) # label(axiom). [clausify(8)]. 2.14/2.45 Derived: -end_point(A,B) | end_point(f5(B),B). [resolve(24,a,25,a)]. 2.14/2.45 26 -meet(A,B,C) | sum(B,C) != D | -closed(D) | -end_point(E,B) | meet(E,B,C) # label(c7) # label(axiom). [clausify(10)]. 2.14/2.45 Derived: -meet(A,B,C) | sum(B,C) != D | -end_point(E,B) | meet(E,B,C) | end_point(f5(D),D). [resolve(26,c,25,a)]. 2.14/2.45 27 end_point(f3(A),A) | -open(A) # label(open_defn) # label(axiom). [clausify(6)]. 2.14/2.45 28 -end_point(A,B) | open(B) # label(open_defn) # label(axiom). [clausify(6)]. 2.14/2.45 Derived: end_point(f3(A),A) | -end_point(B,A). [resolve(27,b,28,b)]. 2.14/2.45 29 -part_of(A,B) | A = B | open(A) # label(c1) # label(axiom). [clausify(14)]. 2.14/2.45 Derived: -part_of(A,B) | A = B | end_point(f3(A),A). [resolve(29,c,27,b)]. 2.14/2.45 2.14/2.45 ============================== end predicate elimination ============= 2.14/2.45 2.14/2.45 Auto_denials: (non-Horn, no changes). 2.14/2.45 2.14/2.45 Term ordering decisions: 2.14/2.45 Function symbol KB weights: c10=1. c11=1. c12=1. sum=1. f1=1. f2=1. f4=1. f7=1. f10=1. f11=1. f12=1. f13=1. f3=1. f5=1. f9=1. f6=1. f8=1. 2.14/2.45 2.14/2.45 ============================== end of process initial clauses ======== 2.14/2.45 2.14/2.45 ============================== CLAUSES FOR SEARCH ==================== 2.14/2.45 2.14/2.45 ============================== end of clauses for search ============= 2.14/2.45 2.14/2.45 ============================== SEARCH ================================ 2.14/2.45 2.14/2.45 % Starting search at 0.02 seconds. 2.14/2.45 2.14/2.45 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 57 (0.00 of 0.69 sec). 2.14/2.45 2.14/2.45 Low Water (keep): wt=49.000, iters=3362 2.14/2.45 2.14/2.45 Low Water (keep): wt=39.000, iters=3349 2.14/2.45 2.14/2.45 Low Water (keep): wt=36.000, iters=3350 2.14/2.45 2.14/2.45 Low Water (keep): wt=34.000, iters=3348 2.14/2.45 2.14/2.45 Low Water (keep): wt=33.000, iters=3335 2.14/2.45 2.14/2.45 Low Water (keep): wt=30.000, iters=3334 2.14/2.45 2.14/2.45 Low Water (keep): wt=29.000, iters=3343 2.14/2.45 2.14/2.45 Low Water (keep): wt=28.000, iters=3468 2.14/2.45 2.14/2.45 Low Water (keep): wt=27.000, iters=3372 2.14/2.45 2.14/2.45 Low Water (keep): wt=26.000, iters=3411 2.14/2.45 2.14/2.45 Low Water (keepAlarm clock 119.69/120.03 Prover9 interrupted 119.69/120.03 EOF