TSTP Solution File: GEO099+1 by Prover9---1109a
View Problem
- Process Solution
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% File : Prover9---1109a
% Problem : GEO099+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 05:53:58 EDT 2022
% Result : Timeout 300.08s 300.31s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO099+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n003.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 : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 14:00:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.74/1.00 ============================== Prover9 ===============================
% 0.74/1.00 Prover9 (32) version 2009-11A, November 2009.
% 0.74/1.00 Process 22467 was started by sandbox on n003.cluster.edu,
% 0.74/1.00 Sat Jun 18 14:00:28 2022
% 0.74/1.00 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_22313_n003.cluster.edu".
% 0.74/1.00 ============================== end of head ===========================
% 0.74/1.00
% 0.74/1.00 ============================== INPUT =================================
% 0.74/1.00
% 0.74/1.00 % Reading from file /tmp/Prover9_22313_n003.cluster.edu
% 0.74/1.00
% 0.74/1.00 set(prolog_style_variables).
% 0.74/1.00 set(auto2).
% 0.74/1.00 % set(auto2) -> set(auto).
% 0.74/1.00 % set(auto) -> set(auto_inference).
% 0.74/1.00 % set(auto) -> set(auto_setup).
% 0.74/1.00 % set(auto_setup) -> set(predicate_elim).
% 0.74/1.00 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.74/1.00 % set(auto) -> set(auto_limits).
% 0.74/1.00 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.74/1.00 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.74/1.00 % set(auto) -> set(auto_denials).
% 0.74/1.00 % set(auto) -> set(auto_process).
% 0.74/1.00 % set(auto2) -> assign(new_constants, 1).
% 0.74/1.00 % set(auto2) -> assign(fold_denial_max, 3).
% 0.74/1.00 % set(auto2) -> assign(max_weight, "200.000").
% 0.74/1.00 % set(auto2) -> assign(max_hours, 1).
% 0.74/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.74/1.00 % set(auto2) -> assign(max_seconds, 0).
% 0.74/1.00 % set(auto2) -> assign(max_minutes, 5).
% 0.74/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.74/1.00 % set(auto2) -> set(sort_initial_sos).
% 0.74/1.00 % set(auto2) -> assign(sos_limit, -1).
% 0.74/1.00 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.74/1.00 % set(auto2) -> assign(max_megs, 400).
% 0.74/1.00 % set(auto2) -> assign(stats, some).
% 0.74/1.00 % set(auto2) -> clear(echo_input).
% 0.74/1.00 % set(auto2) -> set(quiet).
% 0.74/1.00 % set(auto2) -> clear(print_initial_clauses).
% 0.74/1.00 % set(auto2) -> clear(print_given).
% 0.74/1.00 assign(lrs_ticks,-1).
% 0.74/1.00 assign(sos_limit,10000).
% 0.74/1.00 assign(order,kbo).
% 0.74/1.00 set(lex_order_vars).
% 0.74/1.00 clear(print_given).
% 0.74/1.00
% 0.74/1.00 % formulas(sos). % not echoed (17 formulas)
% 0.74/1.00
% 0.74/1.00 ============================== end of input ==========================
% 0.74/1.00
% 0.74/1.00 % From the command line: assign(max_seconds, 300).
% 0.74/1.00
% 0.74/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.74/1.00
% 0.74/1.00 % Formulas that are not ordinary clauses:
% 0.74/1.00 1 (all C all C1 (part_of(C1,C) <-> (all P (incident_c(P,C1) -> incident_c(P,C))))) # label(part_of_defn) # label(axiom) # label(non_clause). [assumption].
% 0.74/1.00 2 (all C all C1 all C2 (C = sum(C1,C2) <-> (all Q (incident_c(Q,C) <-> incident_c(Q,C1) | incident_c(Q,C2))))) # label(sum_defn) # label(axiom) # label(non_clause). [assumption].
% 0.74/1.00 3 (all P all C (end_point(P,C) <-> incident_c(P,C) & (all C1 all C2 (part_of(C1,C) & part_of(C2,C) & incident_c(P,C1) & incident_c(P,C2) -> part_of(C1,C2) | part_of(C2,C1))))) # label(end_point_defn) # label(axiom) # label(non_clause). [assumption].
% 0.74/1.00 4 (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].
% 0.74/1.00 5 (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,C) & end_point(Q,C1))))) # label(meet_defn) # label(axiom) # label(non_clause). [assumption].
% 0.74/1.00 6 (all C (closed(C) <-> -(exists P end_point(P,C)))) # label(closed_defn) # label(axiom) # label(non_clause). [assumption].
% 0.74/1.00 7 (all C (open(C) <-> (exists P end_point(P,C)))) # label(open_defn) # label(axiom) # label(non_clause). [assumption].
% 0.74/1.00 8 (all C all C1 (part_of(C1,C) & C1 != C -> open(C1))) # label(c1) # label(axiom) # label(non_clause). [assumption].
% 0.74/1.00 9 (all C all C1 all C2 all C3 (part_of(C1,C) & part_of(C2,C) & part_of(C3,C) & (exists P (end_point(P,C1) & end_point(P,C2) & end_point(P,C3))) -> part_of(C2,C3) | part_of(C3,C2) | part_of(C1,C2) | part_of(C2,C1) | part_of(C1,C3) | part_of(C3,C1))) # label(c2) # label(axiom) # label(non_clause). [assumption].
% 0.74/1.00 10 (all C exists P inner_point(P,C)) # label(c3) # label(axiom) # label(non_clause). [assumption].
% 0.74/1.00 11 (all C all P (inner_point(P,C) -> (exists C1 exists C2 (meet(P,C1,C2) & C = sum(C1,C2))))) # label(c4) # label(axiom) # label(non_clause). [assumption].
% 0.74/1.00 12 (all C all P all Q all R (end_point(P,C) & end_point(Q,C) & end_point(R,C) -> P = Q | P = R | Q = R)) # label(c5) # label(axiom) # label(non_clause). [assumption].
% 4.10/4.38 13 (all C all P (end_point(P,C) -> (exists Q (end_point(Q,C) & P != Q)))) # label(c6) # label(axiom) # label(non_clause). [assumption].
% 4.10/4.38 14 (all C all C1 all C2 all P (closed(C) & meet(P,C1,C2) & C = sum(C1,C2) -> (all Q (end_point(Q,C1) -> meet(Q,C1,C2))))) # label(c7) # label(axiom) # label(non_clause). [assumption].
% 4.10/4.38 15 (all C1 all C2 ((exists P meet(P,C1,C2)) -> (exists C C = sum(C1,C2)))) # label(c8) # label(axiom) # label(non_clause). [assumption].
% 4.10/4.38 16 (all C all C1 ((all P (incident_c(P,C) <-> incident_c(P,C1))) -> C = C1)) # label(c9) # label(axiom) # label(non_clause). [assumption].
% 4.10/4.38 17 -(all C all C1 all P all Q (closed(C) & part_of(C1,C) & end_point(P,C1) & end_point(Q,C1) & P != Q -> (exists C2 (meet(P,C1,C2) & meet(Q,C1,C2) & C = sum(C1,C2))))) # label(theorem_2_17) # label(negated_conjecture) # label(non_clause). [assumption].
% 4.10/4.38
% 4.10/4.38 ============================== end of process non-clausal formulas ===
% 4.10/4.38
% 4.10/4.38 ============================== PROCESS INITIAL CLAUSES ===============
% 4.10/4.38
% 4.10/4.38 ============================== PREDICATE ELIMINATION =================
% 4.10/4.38 18 -closed(A) | -end_point(B,A) # label(closed_defn) # label(axiom). [clausify(6)].
% 4.10/4.38 19 closed(c10) # label(theorem_2_17) # label(negated_conjecture). [clausify(17)].
% 4.10/4.38 20 closed(A) | end_point(f6(A),A) # label(closed_defn) # label(axiom). [clausify(6)].
% 4.10/4.38 Derived: -end_point(A,c10). [resolve(18,a,19,a)].
% 4.10/4.38 Derived: -end_point(A,B) | end_point(f6(B),B). [resolve(18,a,20,a)].
% 4.10/4.38 21 -closed(A) | -meet(B,C,D) | sum(C,D) != A | -end_point(E,C) | meet(E,C,D) # label(c7) # label(axiom). [clausify(14)].
% 4.10/4.38 Derived: -meet(A,B,C) | sum(B,C) != c10 | -end_point(D,B) | meet(D,B,C). [resolve(21,a,19,a)].
% 4.10/4.38 Derived: -meet(A,B,C) | sum(B,C) != D | -end_point(E,B) | meet(E,B,C) | end_point(f6(D),D). [resolve(21,a,20,a)].
% 4.10/4.38 22 -inner_point(A,B) | -end_point(A,B) # label(inner_point_defn) # label(axiom). [clausify(4)].
% 4.10/4.38 23 inner_point(f8(A),A) # label(c3) # label(axiom). [clausify(10)].
% 4.10/4.38 Derived: -end_point(f8(A),A). [resolve(22,a,23,a)].
% 4.10/4.38 24 -inner_point(A,B) | incident_c(A,B) # label(inner_point_defn) # label(axiom). [clausify(4)].
% 4.10/4.38 Derived: incident_c(f8(A),A). [resolve(24,a,23,a)].
% 4.10/4.38 25 inner_point(A,B) | -incident_c(A,B) | end_point(A,B) # label(inner_point_defn) # label(axiom). [clausify(4)].
% 4.10/4.38 26 -inner_point(A,B) | meet(A,f9(B,A),f10(B,A)) # label(c4) # label(axiom). [clausify(11)].
% 4.10/4.38 Derived: meet(f8(A),f9(A,f8(A)),f10(A,f8(A))). [resolve(26,a,23,a)].
% 4.10/4.38 Derived: meet(A,f9(B,A),f10(B,A)) | -incident_c(A,B) | end_point(A,B). [resolve(26,a,25,a)].
% 4.10/4.38 27 -inner_point(A,B) | sum(f9(B,A),f10(B,A)) = B # label(c4) # label(axiom). [clausify(11)].
% 4.10/4.38 Derived: sum(f9(A,f8(A)),f10(A,f8(A))) = A. [resolve(27,a,23,a)].
% 4.10/4.38 Derived: sum(f9(A,B),f10(A,B)) = A | -incident_c(B,A) | end_point(B,A). [resolve(27,a,25,a)].
% 4.10/4.38 28 -open(A) | end_point(f7(A),A) # label(open_defn) # label(axiom). [clausify(7)].
% 4.10/4.38 29 open(A) | -end_point(B,A) # label(open_defn) # label(axiom). [clausify(7)].
% 4.10/4.38 Derived: end_point(f7(A),A) | -end_point(B,A). [resolve(28,a,29,a)].
% 4.10/4.38 30 -part_of(A,B) | A = B | open(A) # label(c1) # label(axiom). [clausify(8)].
% 4.10/4.38 Derived: -part_of(A,B) | A = B | end_point(f7(A),A). [resolve(30,c,28,a)].
% 4.10/4.38
% 4.10/4.38 ============================== end predicate elimination =============
% 4.10/4.38
% 4.10/4.38 Auto_denials: (non-Horn, no changes).
% 4.10/4.38
% 4.10/4.38 Term ordering decisions:
% 4.10/4.38 Function symbol KB weights: c10=1. c11=1. c12=1. c13=1. sum=1. f1=1. f3=1. f4=1. f9=1. f10=1. f11=1. f12=1. f13=1. f6=1. f7=1. f8=1. f2=1. f5=1.
% 4.10/4.38
% 4.10/4.38 ============================== end of process initial clauses ========
% 4.10/4.38
% 4.10/4.38 ============================== CLAUSES FOR SEARCH ====================
% 4.10/4.38
% 4.10/4.38 ============================== end of clauses for search =============
% 4.10/4.38
% 4.10/4.38 ============================== SEARCH ================================
% 4.10/4.38
% 4.10/4.38 % Starting search at 0.02 seconds.
% 4.10/4.38
% 4.10/4.38 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 65 (0.00 of 1.91 sec).
% 4.10/4.38
% 4.10/4.38 Low Water (keep): wt=35.000, iters=3346
% 4.10/4.38
% 4.10/4.38 Low Water (keep): wt=33.000, iters=3373
% 4.10/4.38
% 4.10/4.38 Low Water (keep): wt=30.000, iters=3349
% 4.10/4.38
% 4.10/4.38 Low Cputime limit exceeded (core dumped)
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