TSTP Solution File: GEO022-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : GEO022-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n005.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 05:53:19 EDT 2022

% Result   : Unsatisfiable 0.42s 0.98s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GEO022-2 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.33  % Computer : n005.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Fri Jun 17 19:20:53 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.42/0.98  ============================== Prover9 ===============================
% 0.42/0.98  Prover9 (32) version 2009-11A, November 2009.
% 0.42/0.98  Process 15555 was started by sandbox2 on n005.cluster.edu,
% 0.42/0.98  Fri Jun 17 19:20:54 2022
% 0.42/0.98  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_15402_n005.cluster.edu".
% 0.42/0.98  ============================== end of head ===========================
% 0.42/0.98  
% 0.42/0.98  ============================== INPUT =================================
% 0.42/0.98  
% 0.42/0.98  % Reading from file /tmp/Prover9_15402_n005.cluster.edu
% 0.42/0.98  
% 0.42/0.98  set(prolog_style_variables).
% 0.42/0.98  set(auto2).
% 0.42/0.98      % set(auto2) -> set(auto).
% 0.42/0.98      % set(auto) -> set(auto_inference).
% 0.42/0.98      % set(auto) -> set(auto_setup).
% 0.42/0.98      % set(auto_setup) -> set(predicate_elim).
% 0.42/0.98      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.42/0.98      % set(auto) -> set(auto_limits).
% 0.42/0.98      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.42/0.98      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.42/0.98      % set(auto) -> set(auto_denials).
% 0.42/0.98      % set(auto) -> set(auto_process).
% 0.42/0.98      % set(auto2) -> assign(new_constants, 1).
% 0.42/0.98      % set(auto2) -> assign(fold_denial_max, 3).
% 0.42/0.98      % set(auto2) -> assign(max_weight, "200.000").
% 0.42/0.98      % set(auto2) -> assign(max_hours, 1).
% 0.42/0.98      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.42/0.98      % set(auto2) -> assign(max_seconds, 0).
% 0.42/0.98      % set(auto2) -> assign(max_minutes, 5).
% 0.42/0.98      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.42/0.98      % set(auto2) -> set(sort_initial_sos).
% 0.42/0.98      % set(auto2) -> assign(sos_limit, -1).
% 0.42/0.98      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.42/0.98      % set(auto2) -> assign(max_megs, 400).
% 0.42/0.98      % set(auto2) -> assign(stats, some).
% 0.42/0.98      % set(auto2) -> clear(echo_input).
% 0.42/0.98      % set(auto2) -> set(quiet).
% 0.42/0.98      % set(auto2) -> clear(print_initial_clauses).
% 0.42/0.98      % set(auto2) -> clear(print_given).
% 0.42/0.98  assign(lrs_ticks,-1).
% 0.42/0.98  assign(sos_limit,10000).
% 0.42/0.98  assign(order,kbo).
% 0.42/0.98  set(lex_order_vars).
% 0.42/0.98  clear(print_given).
% 0.42/0.98  
% 0.42/0.98  % formulas(sos).  % not echoed (21 formulas)
% 0.42/0.98  
% 0.42/0.98  ============================== end of input ==========================
% 0.42/0.98  
% 0.42/0.98  % From the command line: assign(max_seconds, 300).
% 0.42/0.98  
% 0.42/0.98  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.42/0.98  
% 0.42/0.98  % Formulas that are not ordinary clauses:
% 0.42/0.98  
% 0.42/0.98  ============================== end of process non-clausal formulas ===
% 0.42/0.98  
% 0.42/0.98  ============================== PROCESS INITIAL CLAUSES ===============
% 0.42/0.98  
% 0.42/0.98  ============================== PREDICATE ELIMINATION =================
% 0.42/0.98  
% 0.42/0.98  ============================== end predicate elimination =============
% 0.42/0.98  
% 0.42/0.98  Auto_denials:  (non-Horn, no changes).
% 0.42/0.98  
% 0.42/0.98  Term ordering decisions:
% 0.42/0.98  Function symbol KB weights:  w=1. x=1. u=1. v=1. y=1. z=1. lower_dimension_point_1=1. lower_dimension_point_2=1. lower_dimension_point_3=1. extension=1. euclid1=1. euclid2=1. inner_pasch=1. continuous=1.
% 0.42/0.98  
% 0.42/0.98  ============================== end of process initial clauses ========
% 0.42/0.98  
% 0.42/0.98  ============================== CLAUSES FOR SEARCH ====================
% 0.42/0.98  
% 0.42/0.98  ============================== end of clauses for search =============
% 0.42/0.98  
% 0.42/0.98  ============================== SEARCH ================================
% 0.42/0.98  
% 0.42/0.98  % Starting search at 0.01 seconds.
% 0.42/0.98  
% 0.42/0.98  ============================== PROOF =================================
% 0.42/0.98  % SZS status Unsatisfiable
% 0.42/0.98  % SZS output start Refutation
% 0.42/0.98  
% 0.42/0.98  % Proof 1 at 0.03 (+ 0.00) seconds.
% 0.42/0.98  % Length of proof is 9.
% 0.42/0.98  % Level of proof is 3.
% 0.42/0.98  % Maximum clause weight is 15.000.
% 0.42/0.98  % Given clauses 38.
% 0.42/0.98  
% 0.42/0.98  2 equidistant(u,v,w,x) # label(u_to_v_equals_w_to_x) # label(hypothesis).  [assumption].
% 0.42/0.98  3 equidistant(w,x,y,z) # label(w_to_x_equals_y_to_z) # label(hypothesis).  [assumption].
% 0.42/0.98  5 equidistant(A,extension(B,A,C,D),C,D) # label(segment_construction2) # label(axiom).  [assumption].
% 0.42/0.98  9 -equidistant(u,v,y,z) # label(prove_transitivity) # label(negated_conjecture).  [assumption].
% 0.42/0.98  12 -equidistant(A,B,C,D) | -equidistant(A,B,E,F) | equidistant(C,D,E,F) # label(transitivity_for_equidistance) # label(axiom).  [assumption].
% 0.42/0.98  22 -equidistant(A,B,C,D) | equidistant(C,D,C,D).  [factor(12,a,b)].
% 0.42/0.98  49 -equidistant(w,x,u,v).  [ur(12,b,3,a,c,9,a)].
% 0.42/0.98  111 equidistant(A,B,A,B).  [resolve(22,a,5,a)].
% 0.42/0.98  159 $F.  [ur(12,a,2,a,c,49,a),unit_del(a,111)].
% 0.42/0.98  
% 0.42/0.98  % SZS output end Refutation
% 0.42/0.98  ============================== end of proof ==========================
% 0.42/0.98  
% 0.42/0.98  ============================== STATISTICS ============================
% 0.42/0.98  
% 0.42/0.98  Given=38. Generated=284. Kept=158. proofs=1.
% 0.42/0.98  Usable=29. Sos=81. Demods=1. Limbo=3, Disabled=66. Hints=0.
% 0.42/0.98  Megabytes=0.19.
% 0.42/0.98  User_CPU=0.03, System_CPU=0.00, Wall_clock=0.
% 0.42/0.98  
% 0.42/0.98  ============================== end of statistics =====================
% 0.42/0.98  
% 0.42/0.98  ============================== end of search =========================
% 0.42/0.98  
% 0.42/0.98  THEOREM PROVED
% 0.42/0.98  % SZS status Unsatisfiable
% 0.42/0.98  
% 0.42/0.98  Exiting with 1 proof.
% 0.42/0.98  
% 0.42/0.98  Process 15555 exit (max_proofs) Fri Jun 17 19:20:54 2022
% 0.42/0.98  Prover9 interrupted
%------------------------------------------------------------------------------