TSTP Solution File: GEO045-3 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : GEO045-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n021.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 05:53:31 EDT 2022

% Result   : Unsatisfiable 0.73s 1.15s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GEO045-3 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n021.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 14:43:46 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.73/1.15  ============================== Prover9 ===============================
% 0.73/1.15  Prover9 (32) version 2009-11A, November 2009.
% 0.73/1.15  Process 13677 was started by sandbox on n021.cluster.edu,
% 0.73/1.15  Sat Jun 18 14:43:47 2022
% 0.73/1.15  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_13524_n021.cluster.edu".
% 0.73/1.15  ============================== end of head ===========================
% 0.73/1.15  
% 0.73/1.15  ============================== INPUT =================================
% 0.73/1.15  
% 0.73/1.15  % Reading from file /tmp/Prover9_13524_n021.cluster.edu
% 0.73/1.15  
% 0.73/1.15  set(prolog_style_variables).
% 0.73/1.15  set(auto2).
% 0.73/1.15      % set(auto2) -> set(auto).
% 0.73/1.15      % set(auto) -> set(auto_inference).
% 0.73/1.15      % set(auto) -> set(auto_setup).
% 0.73/1.15      % set(auto_setup) -> set(predicate_elim).
% 0.73/1.15      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.73/1.15      % set(auto) -> set(auto_limits).
% 0.73/1.15      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.73/1.15      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.73/1.15      % set(auto) -> set(auto_denials).
% 0.73/1.15      % set(auto) -> set(auto_process).
% 0.73/1.15      % set(auto2) -> assign(new_constants, 1).
% 0.73/1.15      % set(auto2) -> assign(fold_denial_max, 3).
% 0.73/1.15      % set(auto2) -> assign(max_weight, "200.000").
% 0.73/1.15      % set(auto2) -> assign(max_hours, 1).
% 0.73/1.15      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.73/1.15      % set(auto2) -> assign(max_seconds, 0).
% 0.73/1.15      % set(auto2) -> assign(max_minutes, 5).
% 0.73/1.15      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.73/1.15      % set(auto2) -> set(sort_initial_sos).
% 0.73/1.15      % set(auto2) -> assign(sos_limit, -1).
% 0.73/1.15      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.73/1.15      % set(auto2) -> assign(max_megs, 400).
% 0.73/1.15      % set(auto2) -> assign(stats, some).
% 0.73/1.15      % set(auto2) -> clear(echo_input).
% 0.73/1.15      % set(auto2) -> set(quiet).
% 0.73/1.15      % set(auto2) -> clear(print_initial_clauses).
% 0.73/1.15      % set(auto2) -> clear(print_given).
% 0.73/1.15  assign(lrs_ticks,-1).
% 0.73/1.15  assign(sos_limit,10000).
% 0.73/1.15  assign(order,kbo).
% 0.73/1.15  set(lex_order_vars).
% 0.73/1.15  clear(print_given).
% 0.73/1.15  
% 0.73/1.15  % formulas(sos).  % not echoed (58 formulas)
% 0.73/1.15  
% 0.73/1.15  ============================== end of input ==========================
% 0.73/1.15  
% 0.73/1.15  % From the command line: assign(max_seconds, 300).
% 0.73/1.15  
% 0.73/1.15  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.73/1.15  
% 0.73/1.15  % Formulas that are not ordinary clauses:
% 0.73/1.15  
% 0.73/1.15  ============================== end of process non-clausal formulas ===
% 0.73/1.15  
% 0.73/1.15  ============================== PROCESS INITIAL CLAUSES ===============
% 0.73/1.15  
% 0.73/1.15  ============================== PREDICATE ELIMINATION =================
% 0.73/1.15  
% 0.73/1.15  ============================== end predicate elimination =============
% 0.73/1.15  
% 0.73/1.15  Auto_denials:  (non-Horn, no changes).
% 0.73/1.15  
% 0.73/1.15  Term ordering decisions:
% 0.73/1.15  Function symbol KB weights:  v=1. w=1. u=1. x=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.
% 0.73/1.15  
% 0.73/1.15  ============================== end of process initial clauses ========
% 0.73/1.15  
% 0.73/1.15  ============================== CLAUSES FOR SEARCH ====================
% 0.73/1.15  
% 0.73/1.15  ============================== end of clauses for search =============
% 0.73/1.15  
% 0.73/1.15  ============================== SEARCH ================================
% 0.73/1.15  
% 0.73/1.15  % Starting search at 0.02 seconds.
% 0.73/1.15  
% 0.73/1.15  ============================== PROOF =================================
% 0.73/1.15  % SZS status Unsatisfiable
% 0.73/1.15  % SZS output start Refutation
% 0.73/1.15  
% 0.73/1.15  % Proof 1 at 0.17 (+ 0.00) seconds.
% 0.73/1.15  % Length of proof is 11.
% 0.73/1.15  % Level of proof is 2.
% 0.73/1.15  % Maximum clause weight is 15.000.
% 0.73/1.15  % Given clauses 73.
% 0.73/1.15  
% 0.73/1.15  3 between(u,v,w) # label(v_between_u_and_w) # label(hypothesis).  [assumption].
% 0.73/1.15  4 between(v,w,x) # label(w_between_v_and_x) # label(hypothesis).  [assumption].
% 0.73/1.15  23 v != w # label(v_not_w) # label(hypothesis).  [assumption].
% 0.73/1.15  24 w != v.  [copy(23),flip(a)].
% 0.73/1.15  28 -between(u,v,x) # label(prove_v_between_u_and_x) # label(negated_conjecture).  [assumption].
% 0.73/1.15  35 -between(A,B,C) | between(C,B,A) # label(t1) # label(axiom).  [assumption].
% 0.73/1.15  53 -between(A,B,C) | -between(B,C,D) | between(A,C,D) | B = C # label(b6) # label(axiom).  [assumption].
% 0.73/1.15  89 between(x,w,v).  [resolve(35,a,4,a)].
% 0.73/1.15  90 between(w,v,u).  [resolve(35,a,3,a)].
% 0.73/1.15  91 -between(x,v,u).  [ur(35,b,28,a)].
% 0.73/1.15  346 $F.  [ur(53,b,90,a,c,91,a,d,24,a),unit_del(a,89)].
% 0.73/1.15  
% 0.73/1.15  % SZS output end Refutation
% 0.73/1.15  ============================== end of proof ==========================
% 0.73/1.15  
% 0.73/1.15  ============================== STATISTICS ============================
% 0.73/1.15  
% 0.73/1.15  Given=73. Generated=719. Kept=335. proofs=1.
% 0.73/1.15  Usable=72. Sos=245. Demods=5. Limbo=1, Disabled=75. Hints=0.
% 0.73/1.15  Megabytes=0.33.
% 0.73/1.15  User_CPU=0.17, System_CPU=0.00, Wall_clock=0.
% 0.73/1.15  
% 0.73/1.15  ============================== end of statistics =====================
% 0.73/1.15  
% 0.73/1.15  ============================== end of search =========================
% 0.73/1.15  
% 0.73/1.15  THEOREM PROVED
% 0.73/1.15  % SZS status Unsatisfiable
% 0.73/1.15  
% 0.73/1.15  Exiting with 1 proof.
% 0.73/1.15  
% 0.73/1.15  Process 13677 exit (max_proofs) Sat Jun 18 14:43:47 2022
% 0.73/1.15  Prover9 interrupted
%------------------------------------------------------------------------------