TSTP Solution File: GEO053-3 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : GEO053-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n032.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 05:53:35 EDT 2022

% Result   : Unsatisfiable 1.55s 1.87s
% Output   : Refutation 1.55s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : GEO053-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.02/0.10  % Command  : tptp2X_and_run_prover9 %d %s
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Fri Jun 17 16:04:31 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 1.55/1.87  ============================== Prover9 ===============================
% 1.55/1.87  Prover9 (32) version 2009-11A, November 2009.
% 1.55/1.87  Process 6576 was started by sandbox2 on n032.cluster.edu,
% 1.55/1.87  Fri Jun 17 16:04:31 2022
% 1.55/1.87  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_6423_n032.cluster.edu".
% 1.55/1.87  ============================== end of head ===========================
% 1.55/1.87  
% 1.55/1.87  ============================== INPUT =================================
% 1.55/1.87  
% 1.55/1.87  % Reading from file /tmp/Prover9_6423_n032.cluster.edu
% 1.55/1.87  
% 1.55/1.87  set(prolog_style_variables).
% 1.55/1.87  set(auto2).
% 1.55/1.87      % set(auto2) -> set(auto).
% 1.55/1.87      % set(auto) -> set(auto_inference).
% 1.55/1.87      % set(auto) -> set(auto_setup).
% 1.55/1.87      % set(auto_setup) -> set(predicate_elim).
% 1.55/1.87      % set(auto_setup) -> assign(eq_defs, unfold).
% 1.55/1.87      % set(auto) -> set(auto_limits).
% 1.55/1.87      % set(auto_limits) -> assign(max_weight, "100.000").
% 1.55/1.87      % set(auto_limits) -> assign(sos_limit, 20000).
% 1.55/1.87      % set(auto) -> set(auto_denials).
% 1.55/1.87      % set(auto) -> set(auto_process).
% 1.55/1.87      % set(auto2) -> assign(new_constants, 1).
% 1.55/1.87      % set(auto2) -> assign(fold_denial_max, 3).
% 1.55/1.87      % set(auto2) -> assign(max_weight, "200.000").
% 1.55/1.87      % set(auto2) -> assign(max_hours, 1).
% 1.55/1.87      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.55/1.87      % set(auto2) -> assign(max_seconds, 0).
% 1.55/1.87      % set(auto2) -> assign(max_minutes, 5).
% 1.55/1.87      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.55/1.87      % set(auto2) -> set(sort_initial_sos).
% 1.55/1.87      % set(auto2) -> assign(sos_limit, -1).
% 1.55/1.87      % set(auto2) -> assign(lrs_ticks, 3000).
% 1.55/1.87      % set(auto2) -> assign(max_megs, 400).
% 1.55/1.87      % set(auto2) -> assign(stats, some).
% 1.55/1.87      % set(auto2) -> clear(echo_input).
% 1.55/1.87      % set(auto2) -> set(quiet).
% 1.55/1.87      % set(auto2) -> clear(print_initial_clauses).
% 1.55/1.87      % set(auto2) -> clear(print_given).
% 1.55/1.87  assign(lrs_ticks,-1).
% 1.55/1.87  assign(sos_limit,10000).
% 1.55/1.87  assign(order,kbo).
% 1.55/1.87  set(lex_order_vars).
% 1.55/1.87  clear(print_given).
% 1.55/1.87  
% 1.55/1.87  % formulas(sos).  % not echoed (85 formulas)
% 1.55/1.87  
% 1.55/1.87  ============================== end of input ==========================
% 1.55/1.87  
% 1.55/1.87  % From the command line: assign(max_seconds, 300).
% 1.55/1.87  
% 1.55/1.87  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.55/1.87  
% 1.55/1.87  % Formulas that are not ordinary clauses:
% 1.55/1.87  
% 1.55/1.87  ============================== end of process non-clausal formulas ===
% 1.55/1.87  
% 1.55/1.87  ============================== PROCESS INITIAL CLAUSES ===============
% 1.55/1.87  
% 1.55/1.87  ============================== PREDICATE ELIMINATION =================
% 1.55/1.87  
% 1.55/1.87  ============================== end predicate elimination =============
% 1.55/1.87  
% 1.55/1.87  Auto_denials:  (non-Horn, no changes).
% 1.55/1.87  
% 1.55/1.87  Term ordering decisions:
% 1.55/1.87  Function symbol KB weights:  lower_dimension_point_1=1. lower_dimension_point_2=1. u=1. v=1. w=1. lower_dimension_point_3=1. reflection=1. extension=1. insertion=1. inner_pasch=1. euclid1=1. euclid2=1. continuous=1.
% 1.55/1.87  
% 1.55/1.87  ============================== end of process initial clauses ========
% 1.55/1.87  
% 1.55/1.87  ============================== CLAUSES FOR SEARCH ====================
% 1.55/1.87  
% 1.55/1.87  ============================== end of clauses for search =============
% 1.55/1.87  
% 1.55/1.87  ============================== SEARCH ================================
% 1.55/1.87  
% 1.55/1.87  % Starting search at 0.02 seconds.
% 1.55/1.87  
% 1.55/1.87  ============================== PROOF =================================
% 1.55/1.87  % SZS status Unsatisfiable
% 1.55/1.87  % SZS output start Refutation
% 1.55/1.87  
% 1.55/1.87  % Proof 1 at 1.06 (+ 0.01) seconds.
% 1.55/1.87  % Length of proof is 11.
% 1.55/1.87  % Level of proof is 3.
% 1.55/1.87  % Maximum clause weight is 23.000.
% 1.55/1.87  % Given clauses 126.
% 1.55/1.87  
% 1.55/1.87  3 between(u,v,w) # label(v_between_u_and_w) # label(hypothesis).  [assumption].
% 1.55/1.87  4 equidistant(A,B,B,A) # label(reflexivity_for_equidistance) # label(axiom).  [assumption].
% 1.55/1.87  9 equidistant(u,v,u,w) # label(u_to_v_equals_u_to_w) # label(hypothesis).  [assumption].
% 1.55/1.87  32 v != w # label(prove_v_equals_w) # label(negated_conjecture).  [assumption].
% 1.55/1.87  33 w != v.  [copy(32),flip(a)].
% 1.55/1.87  46 -equidistant(A,B,C,D) | equidistant(C,D,A,B) # label(d2) # label(axiom).  [assumption].
% 1.55/1.87  57 -between(A,B,C) | -between(A,C,B) | B = C # label(b3) # label(axiom).  [assumption].
% 1.55/1.87  91 -equidistant(A,B,C,D) | -equidistant(B,E,D,F) | -equidistant(A,E,C,F) | -between(A,B,E) | between(C,D,F) # label(b11) # label(axiom).  [assumption].
% 1.55/1.87  173 equidistant(u,w,u,v).  [resolve(46,a,9,a)].
% 1.55/1.87  210 -between(u,w,v).  [resolve(57,a,3,a),flip(b),unit_del(b,33)].
% 1.55/1.87  1123 $F.  [ur(91,b,4,a,c,173,a,d,3,a,e,210,a),unit_del(a,9)].
% 1.55/1.87  
% 1.55/1.87  % SZS output end Refutation
% 1.55/1.87  ============================== end of proof ==========================
% 1.55/1.87  
% 1.55/1.87  ============================== STATISTICS ============================
% 1.55/1.87  
% 1.55/1.87  Given=126. Generated=2879. Kept=1104. proofs=1.
% 1.55/1.87  Usable=125. Sos=945. Demods=15. Limbo=0, Disabled=119. Hints=0.
% 1.55/1.87  Megabytes=1.11.
% 1.55/1.87  User_CPU=1.06, System_CPU=0.01, Wall_clock=1.
% 1.55/1.87  
% 1.55/1.87  ============================== end of statistics =====================
% 1.55/1.87  
% 1.55/1.87  ============================== end of search =========================
% 1.55/1.87  
% 1.55/1.87  THEOREM PROVED
% 1.55/1.87  % SZS status Unsatisfiable
% 1.55/1.87  
% 1.55/1.87  Exiting with 1 proof.
% 1.55/1.87  
% 1.55/1.87  Process 6576 exit (max_proofs) Fri Jun 17 16:04:32 2022
% 1.55/1.87  Prover9 interrupted
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