TSTP Solution File: GEO002-3 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : GEO002-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n028.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 05:53:05 EDT 2022

% Result   : Unsatisfiable 0.42s 1.00s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO002-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n028.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 12:02:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.42/1.00  ============================== Prover9 ===============================
% 0.42/1.00  Prover9 (32) version 2009-11A, November 2009.
% 0.42/1.00  Process 12955 was started by sandbox on n028.cluster.edu,
% 0.42/1.00  Sat Jun 18 12:02:29 2022
% 0.42/1.00  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_12799_n028.cluster.edu".
% 0.42/1.00  ============================== end of head ===========================
% 0.42/1.00  
% 0.42/1.00  ============================== INPUT =================================
% 0.42/1.00  
% 0.42/1.00  % Reading from file /tmp/Prover9_12799_n028.cluster.edu
% 0.42/1.00  
% 0.42/1.00  set(prolog_style_variables).
% 0.42/1.00  set(auto2).
% 0.42/1.00      % set(auto2) -> set(auto).
% 0.42/1.00      % set(auto) -> set(auto_inference).
% 0.42/1.00      % set(auto) -> set(auto_setup).
% 0.42/1.00      % set(auto_setup) -> set(predicate_elim).
% 0.42/1.00      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.42/1.00      % set(auto) -> set(auto_limits).
% 0.42/1.00      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.42/1.00      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.42/1.00      % set(auto) -> set(auto_denials).
% 0.42/1.00      % set(auto) -> set(auto_process).
% 0.42/1.00      % set(auto2) -> assign(new_constants, 1).
% 0.42/1.00      % set(auto2) -> assign(fold_denial_max, 3).
% 0.42/1.00      % set(auto2) -> assign(max_weight, "200.000").
% 0.42/1.00      % set(auto2) -> assign(max_hours, 1).
% 0.42/1.00      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.42/1.00      % set(auto2) -> assign(max_seconds, 0).
% 0.42/1.00      % set(auto2) -> assign(max_minutes, 5).
% 0.42/1.00      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.42/1.00      % set(auto2) -> set(sort_initial_sos).
% 0.42/1.00      % set(auto2) -> assign(sos_limit, -1).
% 0.42/1.00      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.42/1.00      % set(auto2) -> assign(max_megs, 400).
% 0.42/1.00      % set(auto2) -> assign(stats, some).
% 0.42/1.00      % set(auto2) -> clear(echo_input).
% 0.42/1.00      % set(auto2) -> set(quiet).
% 0.42/1.00      % set(auto2) -> clear(print_initial_clauses).
% 0.42/1.00      % set(auto2) -> clear(print_given).
% 0.42/1.00  assign(lrs_ticks,-1).
% 0.42/1.00  assign(sos_limit,10000).
% 0.42/1.00  assign(order,kbo).
% 0.42/1.00  set(lex_order_vars).
% 0.42/1.00  clear(print_given).
% 0.42/1.00  
% 0.42/1.00  % formulas(sos).  % not echoed (47 formulas)
% 0.42/1.00  
% 0.42/1.00  ============================== end of input ==========================
% 0.42/1.00  
% 0.42/1.00  % From the command line: assign(max_seconds, 300).
% 0.42/1.00  
% 0.42/1.00  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.42/1.00  
% 0.42/1.00  % Formulas that are not ordinary clauses:
% 0.42/1.00  
% 0.42/1.00  ============================== end of process non-clausal formulas ===
% 0.42/1.00  
% 0.42/1.00  ============================== PROCESS INITIAL CLAUSES ===============
% 0.42/1.00  
% 0.42/1.00  ============================== PREDICATE ELIMINATION =================
% 0.42/1.00  
% 0.42/1.00  ============================== end predicate elimination =============
% 0.42/1.00  
% 0.42/1.00  Auto_denials:  (non-Horn, no changes).
% 0.42/1.00  
% 0.42/1.00  Term ordering decisions:
% 0.42/1.00  Function symbol KB weights:  a=1. b=1. lower_dimension_point_1=1. lower_dimension_point_2=1. lower_dimension_point_3=1. reflection=1. extension=1. euclid1=1. euclid2=1. inner_pasch=1. continuous=1.
% 0.42/1.00  
% 0.42/1.00  ============================== end of process initial clauses ========
% 0.42/1.00  
% 0.42/1.00  ============================== CLAUSES FOR SEARCH ====================
% 0.42/1.00  
% 0.42/1.00  ============================== end of clauses for search =============
% 0.42/1.00  
% 0.42/1.00  ============================== SEARCH ================================
% 0.42/1.00  
% 0.42/1.00  % Starting search at 0.01 seconds.
% 0.42/1.00  
% 0.42/1.00  ============================== PROOF =================================
% 0.42/1.00  % SZS status Unsatisfiable
% 0.42/1.00  % SZS output start Refutation
% 0.42/1.00  
% 0.42/1.00  % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.42/1.00  % Length of proof is 5.
% 0.42/1.00  % Level of proof is 2.
% 0.42/1.00  % Maximum clause weight is 8.000.
% 0.42/1.00  % Given clauses 18.
% 0.42/1.00  
% 0.42/1.00  1 between(A,B,B) # label(t3) # label(axiom).  [assumption].
% 0.42/1.00  23 -between(a,a,b) # label(prove_a_between_a_and_b) # label(negated_conjecture).  [assumption].
% 0.42/1.00  30 -between(A,B,C) | between(C,B,A) # label(t1) # label(axiom).  [assumption].
% 0.42/1.00  75 between(A,A,B).  [resolve(30,a,1,a)].
% 0.42/1.00  76 $F.  [resolve(75,a,23,a)].
% 0.42/1.00  
% 0.42/1.00  % SZS output end Refutation
% 0.42/1.00  ============================== end of proof ==========================
% 0.42/1.00  
% 0.42/1.00  ============================== STATISTICS ============================
% 0.42/1.00  
% 0.42/1.00  Given=18. Generated=118. Kept=66. proofs=1.
% 0.42/1.00  Usable=18. Sos=41. Demods=3. Limbo=1, Disabled=52. Hints=0.
% 0.42/1.00  Megabytes=0.10.
% 0.42/1.00  User_CPU=0.01, System_CPU=0.01, Wall_clock=0.
% 0.42/1.00  
% 0.42/1.00  ============================== end of statistics =====================
% 0.42/1.00  
% 0.42/1.00  ============================== end of search =========================
% 0.42/1.00  
% 0.42/1.00  THEOREM PROVED
% 0.42/1.00  % SZS status Unsatisfiable
% 0.42/1.00  
% 0.42/1.00  Exiting with 1 proof.
% 0.42/1.00  
% 0.42/1.00  Process 12955 exit (max_proofs) Sat Jun 18 12:02:29 2022
% 0.42/1.00  Prover9 interrupted
%------------------------------------------------------------------------------