TSTP Solution File: GEO008-3 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : GEO008-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 05:53:10 EDT 2022

% Result   : Unsatisfiable 1.95s 2.25s
% Output   : Refutation 1.95s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO008-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n003.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 : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 04:08:13 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.95/2.25  ============================== Prover9 ===============================
% 1.95/2.25  Prover9 (32) version 2009-11A, November 2009.
% 1.95/2.25  Process 10192 was started by sandbox2 on n003.cluster.edu,
% 1.95/2.25  Sat Jun 18 04:08:13 2022
% 1.95/2.25  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_9952_n003.cluster.edu".
% 1.95/2.25  ============================== end of head ===========================
% 1.95/2.25  
% 1.95/2.25  ============================== INPUT =================================
% 1.95/2.25  
% 1.95/2.25  % Reading from file /tmp/Prover9_9952_n003.cluster.edu
% 1.95/2.25  
% 1.95/2.25  set(prolog_style_variables).
% 1.95/2.25  set(auto2).
% 1.95/2.25      % set(auto2) -> set(auto).
% 1.95/2.25      % set(auto) -> set(auto_inference).
% 1.95/2.25      % set(auto) -> set(auto_setup).
% 1.95/2.25      % set(auto_setup) -> set(predicate_elim).
% 1.95/2.25      % set(auto_setup) -> assign(eq_defs, unfold).
% 1.95/2.25      % set(auto) -> set(auto_limits).
% 1.95/2.25      % set(auto_limits) -> assign(max_weight, "100.000").
% 1.95/2.25      % set(auto_limits) -> assign(sos_limit, 20000).
% 1.95/2.25      % set(auto) -> set(auto_denials).
% 1.95/2.25      % set(auto) -> set(auto_process).
% 1.95/2.25      % set(auto2) -> assign(new_constants, 1).
% 1.95/2.25      % set(auto2) -> assign(fold_denial_max, 3).
% 1.95/2.25      % set(auto2) -> assign(max_weight, "200.000").
% 1.95/2.25      % set(auto2) -> assign(max_hours, 1).
% 1.95/2.25      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.95/2.25      % set(auto2) -> assign(max_seconds, 0).
% 1.95/2.25      % set(auto2) -> assign(max_minutes, 5).
% 1.95/2.25      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.95/2.25      % set(auto2) -> set(sort_initial_sos).
% 1.95/2.25      % set(auto2) -> assign(sos_limit, -1).
% 1.95/2.25      % set(auto2) -> assign(lrs_ticks, 3000).
% 1.95/2.25      % set(auto2) -> assign(max_megs, 400).
% 1.95/2.25      % set(auto2) -> assign(stats, some).
% 1.95/2.25      % set(auto2) -> clear(echo_input).
% 1.95/2.25      % set(auto2) -> set(quiet).
% 1.95/2.25      % set(auto2) -> clear(print_initial_clauses).
% 1.95/2.25      % set(auto2) -> clear(print_given).
% 1.95/2.25  assign(lrs_ticks,-1).
% 1.95/2.25  assign(sos_limit,10000).
% 1.95/2.25  assign(order,kbo).
% 1.95/2.25  set(lex_order_vars).
% 1.95/2.25  clear(print_given).
% 1.95/2.25  
% 1.95/2.25  % formulas(sos).  % not echoed (85 formulas)
% 1.95/2.25  
% 1.95/2.25  ============================== end of input ==========================
% 1.95/2.25  
% 1.95/2.25  % From the command line: assign(max_seconds, 300).
% 1.95/2.25  
% 1.95/2.25  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.95/2.25  
% 1.95/2.25  % Formulas that are not ordinary clauses:
% 1.95/2.25  
% 1.95/2.25  ============================== end of process non-clausal formulas ===
% 1.95/2.25  
% 1.95/2.25  ============================== PROCESS INITIAL CLAUSES ===============
% 1.95/2.25  
% 1.95/2.25  ============================== PREDICATE ELIMINATION =================
% 1.95/2.25  
% 1.95/2.25  ============================== end predicate elimination =============
% 1.95/2.25  
% 1.95/2.25  Auto_denials:  (non-Horn, no changes).
% 1.95/2.25  
% 1.95/2.25  Term ordering decisions:
% 1.95/2.25  Function symbol KB weights:  lower_dimension_point_1=1. lower_dimension_point_2=1. a=1. c=1. d=1. e=1. b=1. lower_dimension_point_3=1. reflection=1. extension=1. insertion=1. inner_pasch=1. euclid1=1. euclid2=1. continuous=1.
% 1.95/2.25  
% 1.95/2.25  ============================== end of process initial clauses ========
% 1.95/2.25  
% 1.95/2.25  ============================== CLAUSES FOR SEARCH ====================
% 1.95/2.25  
% 1.95/2.25  ============================== end of clauses for search =============
% 1.95/2.25  
% 1.95/2.25  ============================== SEARCH ================================
% 1.95/2.25  
% 1.95/2.25  % Starting search at 0.02 seconds.
% 1.95/2.25  
% 1.95/2.25  ============================== PROOF =================================
% 1.95/2.25  % SZS status Unsatisfiable
% 1.95/2.25  % SZS output start Refutation
% 1.95/2.25  
% 1.95/2.25  % Proof 1 at 1.26 (+ 0.00) seconds.
% 1.95/2.25  % Length of proof is 14.
% 1.95/2.25  % Level of proof is 3.
% 1.95/2.25  % Maximum clause weight is 16.000.
% 1.95/2.25  % Given clauses 179.
% 1.95/2.25  
% 1.95/2.25  3 between(a,c,e) # label(c_between_a_and_e) # label(hypothesis).  [assumption].
% 1.95/2.25  4 between(a,d,e) # label(d_between_a_and_e) # label(hypothesis).  [assumption].
% 1.95/2.25  5 between(c,b,d) # label(b_between_c_and_d) # label(hypothesis).  [assumption].
% 1.95/2.25  36 -between(a,b,e) # label(prove_betweenness) # label(negated_conjecture).  [assumption].
% 1.95/2.25  45 -between(A,B,C) | between(C,B,A) # label(t1) # label(axiom).  [assumption].
% 1.95/2.25  61 -between(A,B,C) | -between(B,D,C) | between(A,D,C) # label(b8) # label(axiom).  [assumption].
% 1.95/2.25  62 -between(A,B,C) | -between(A,C,D) | between(A,B,D) # label(b9) # label(axiom).  [assumption].
% 1.95/2.25  72 -between(A,B,C) | -between(A,D,C) | between(B,D,C) | between(D,B,C) # label(b14) # label(axiom).  [assumption].
% 1.95/2.25  160 between(d,b,c).  [resolve(45,a,5,a)].
% 1.95/2.25  231 -between(d,b,e).  [ur(61,a,4,a,c,36,a)].
% 1.95/2.25  232 -between(c,b,e).  [ur(61,a,3,a,c,36,a)].
% 1.95/2.25  1039 -between(d,c,e).  [ur(62,a,160,a,c,231,a)].
% 1.95/2.25  1049 -between(c,d,e).  [ur(62,a,5,a,c,232,a)].
% 1.95/2.25  1583 $F.  [ur(72,b,3,a,c,1039,a,d,1049,a),unit_del(a,4)].
% 1.95/2.25  
% 1.95/2.25  % SZS output end Refutation
% 1.95/2.25  ============================== end of proof ==========================
% 1.95/2.25  
% 1.95/2.25  ============================== STATISTICS ============================
% 1.95/2.25  
% 1.95/2.25  Given=179. Generated=3908. Kept=1565. proofs=1.
% 1.95/2.25  Usable=161. Sos=1219. Demods=25. Limbo=6, Disabled=264. Hints=0.
% 1.95/2.25  Megabytes=1.37.
% 1.95/2.25  User_CPU=1.26, System_CPU=0.00, Wall_clock=2.
% 1.95/2.25  
% 1.95/2.25  ============================== end of statistics =====================
% 1.95/2.25  
% 1.95/2.25  ============================== end of search =========================
% 1.95/2.25  
% 1.95/2.25  THEOREM PROVED
% 1.95/2.25  % SZS status Unsatisfiable
% 1.95/2.25  
% 1.95/2.25  Exiting with 1 proof.
% 1.95/2.25  
% 1.95/2.25  Process 10192 exit (max_proofs) Sat Jun 18 04:08:15 2022
% 1.95/2.25  Prover9 interrupted
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