TSTP Solution File: GEO033-3 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : GEO033-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 05:53:24 EDT 2022

% Result   : Unsatisfiable 1.58s 1.82s
% Output   : Refutation 1.58s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO033-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jun 18 18:36:23 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 1.54/1.82  ============================== Prover9 ===============================
% 1.54/1.82  Prover9 (32) version 2009-11A, November 2009.
% 1.54/1.82  Process 18159 was started by sandbox on n005.cluster.edu,
% 1.54/1.82  Sat Jun 18 18:36:24 2022
% 1.54/1.82  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_17801_n005.cluster.edu".
% 1.54/1.82  ============================== end of head ===========================
% 1.54/1.82  
% 1.54/1.82  ============================== INPUT =================================
% 1.54/1.82  
% 1.54/1.82  % Reading from file /tmp/Prover9_17801_n005.cluster.edu
% 1.54/1.82  
% 1.54/1.82  set(prolog_style_variables).
% 1.54/1.82  set(auto2).
% 1.54/1.82      % set(auto2) -> set(auto).
% 1.54/1.82      % set(auto) -> set(auto_inference).
% 1.54/1.82      % set(auto) -> set(auto_setup).
% 1.54/1.82      % set(auto_setup) -> set(predicate_elim).
% 1.54/1.82      % set(auto_setup) -> assign(eq_defs, unfold).
% 1.54/1.82      % set(auto) -> set(auto_limits).
% 1.54/1.82      % set(auto_limits) -> assign(max_weight, "100.000").
% 1.54/1.82      % set(auto_limits) -> assign(sos_limit, 20000).
% 1.54/1.82      % set(auto) -> set(auto_denials).
% 1.54/1.82      % set(auto) -> set(auto_process).
% 1.54/1.82      % set(auto2) -> assign(new_constants, 1).
% 1.54/1.82      % set(auto2) -> assign(fold_denial_max, 3).
% 1.54/1.82      % set(auto2) -> assign(max_weight, "200.000").
% 1.54/1.82      % set(auto2) -> assign(max_hours, 1).
% 1.54/1.82      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.54/1.82      % set(auto2) -> assign(max_seconds, 0).
% 1.54/1.82      % set(auto2) -> assign(max_minutes, 5).
% 1.54/1.82      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.54/1.82      % set(auto2) -> set(sort_initial_sos).
% 1.54/1.82      % set(auto2) -> assign(sos_limit, -1).
% 1.54/1.82      % set(auto2) -> assign(lrs_ticks, 3000).
% 1.54/1.82      % set(auto2) -> assign(max_megs, 400).
% 1.54/1.82      % set(auto2) -> assign(stats, some).
% 1.54/1.82      % set(auto2) -> clear(echo_input).
% 1.54/1.82      % set(auto2) -> set(quiet).
% 1.54/1.82      % set(auto2) -> clear(print_initial_clauses).
% 1.54/1.82      % set(auto2) -> clear(print_given).
% 1.54/1.82  assign(lrs_ticks,-1).
% 1.54/1.82  assign(sos_limit,10000).
% 1.54/1.82  assign(order,kbo).
% 1.54/1.82  set(lex_order_vars).
% 1.54/1.82  clear(print_given).
% 1.54/1.82  
% 1.54/1.82  % formulas(sos).  % not echoed (74 formulas)
% 1.54/1.82  
% 1.54/1.82  ============================== end of input ==========================
% 1.54/1.82  
% 1.54/1.82  % From the command line: assign(max_seconds, 300).
% 1.54/1.82  
% 1.54/1.82  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.54/1.82  
% 1.54/1.82  % Formulas that are not ordinary clauses:
% 1.54/1.82  
% 1.54/1.82  ============================== end of process non-clausal formulas ===
% 1.54/1.82  
% 1.54/1.82  ============================== PROCESS INITIAL CLAUSES ===============
% 1.54/1.82  
% 1.54/1.82  ============================== PREDICATE ELIMINATION =================
% 1.54/1.82  
% 1.54/1.82  ============================== end predicate elimination =============
% 1.54/1.82  
% 1.54/1.82  Auto_denials:  (non-Horn, no changes).
% 1.54/1.82  
% 1.54/1.82  Term ordering decisions:
% 1.54/1.82  Function symbol KB weights:  lower_dimension_point_1=1. lower_dimension_point_2=1. u=1. u1=1. v=1. v1=1. w=1. w1=1. x=1. x1=1. lower_dimension_point_3=1. reflection=1. extension=1. inner_pasch=1. euclid1=1. euclid2=1. continuous=1.
% 1.54/1.82  
% 1.54/1.82  ============================== end of process initial clauses ========
% 1.54/1.82  
% 1.54/1.82  ============================== CLAUSES FOR SEARCH ====================
% 1.54/1.82  
% 1.54/1.82  ============================== end of clauses for search =============
% 1.54/1.82  
% 1.54/1.82  ============================== SEARCH ================================
% 1.54/1.82  
% 1.54/1.82  % Starting search at 0.02 seconds.
% 1.54/1.82  
% 1.54/1.82  ============================== PROOF =================================
% 1.58/1.82  % SZS status Unsatisfiable
% 1.58/1.82  % SZS output start Refutation
% 1.58/1.82  
% 1.58/1.82  % Proof 1 at 0.83 (+ 0.00) seconds.
% 1.58/1.82  % Length of proof is 11.
% 1.58/1.82  % Level of proof is 2.
% 1.58/1.82  % Maximum clause weight is 33.000.
% 1.58/1.82  % Given clauses 134.
% 1.58/1.82  
% 1.58/1.82  3 between(u,v,w) # label(v_between_u_and_w) # label(hypothesis).  [assumption].
% 1.58/1.82  4 between(u1,v1,w1) # label(v1_between_u1_and_w1) # label(hypothesis).  [assumption].
% 1.58/1.82  10 equidistant(u,v,u1,v1) # label(u_to_v_equals_u1_to_v1) # label(hypothesis).  [assumption].
% 1.58/1.82  11 equidistant(v,w,v1,w1) # label(v_to_w_equals_v1_to_w1) # label(hypothesis).  [assumption].
% 1.58/1.82  12 equidistant(u,x,u1,x1) # label(u_to_x_equals_u1_to_x1) # label(hypothesis).  [assumption].
% 1.58/1.82  13 equidistant(w,x,w1,x1) # label(w_to_x_equals_w1_to_x1) # label(hypothesis).  [assumption].
% 1.58/1.82  37 -equidistant(v,x,v1,x1) # label(prove_v_to_x_equals_v1_to_x1) # label(negated_conjecture).  [assumption].
% 1.58/1.82  75 -equidistant(A,B,C,D) | -equidistant(B,E,D,F) | -between(A,B,E) | -between(C,D,F) | equidistant(A,E,C,F) # label(d8) # label(axiom).  [assumption].
% 1.58/1.82  81 -equidistant(A,B,C,D) | -equidistant(A,E,C,F) | -equidistant(A,V6,C,V7) | -equidistant(E,V6,F,V7) | -between(A,B,E) | -between(C,D,F) | equidistant(B,V6,D,V7) # label(d12) # label(axiom).  [assumption].
% 1.58/1.82  445 -equidistant(u,w,u1,w1).  [ur(81,a,10,a,c,12,a,d,13,a,e,3,a,f,4,a,g,37,a)].
% 1.58/1.82  1191 $F.  [ur(75,b,11,a,c,3,a,d,4,a,e,445,a),unit_del(a,10)].
% 1.58/1.82  
% 1.58/1.82  % SZS output end Refutation
% 1.58/1.82  ============================== end of proof ==========================
% 1.58/1.82  
% 1.58/1.82  ============================== STATISTICS ============================
% 1.58/1.82  
% 1.58/1.82  Given=134. Generated=3109. Kept=1177. proofs=1.
% 1.58/1.82  Usable=133. Sos=1021. Demods=3. Limbo=0, Disabled=97. Hints=0.
% 1.58/1.82  Megabytes=1.23.
% 1.58/1.82  User_CPU=0.83, System_CPU=0.00, Wall_clock=1.
% 1.58/1.82  
% 1.58/1.82  ============================== end of statistics =====================
% 1.58/1.82  
% 1.58/1.82  ============================== end of search =========================
% 1.58/1.82  
% 1.58/1.82  THEOREM PROVED
% 1.58/1.82  % SZS status Unsatisfiable
% 1.58/1.82  
% 1.58/1.82  Exiting with 1 proof.
% 1.58/1.82  
% 1.58/1.82  Process 18159 exit (max_proofs) Sat Jun 18 18:36:25 2022
% 1.58/1.82  Prover9 interrupted
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