TSTP Solution File: GEO029-3 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : GEO029-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n027.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 05:53:22 EDT 2022

% Result   : Unsatisfiable 7.36s 7.65s
% Output   : Refutation 7.36s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GEO029-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n027.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 11:21:22 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 7.36/7.65  ============================== Prover9 ===============================
% 7.36/7.65  Prover9 (32) version 2009-11A, November 2009.
% 7.36/7.65  Process 27467 was started by sandbox2 on n027.cluster.edu,
% 7.36/7.65  Sat Jun 18 11:21:23 2022
% 7.36/7.65  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_27314_n027.cluster.edu".
% 7.36/7.65  ============================== end of head ===========================
% 7.36/7.65  
% 7.36/7.65  ============================== INPUT =================================
% 7.36/7.65  
% 7.36/7.65  % Reading from file /tmp/Prover9_27314_n027.cluster.edu
% 7.36/7.65  
% 7.36/7.65  set(prolog_style_variables).
% 7.36/7.65  set(auto2).
% 7.36/7.65      % set(auto2) -> set(auto).
% 7.36/7.65      % set(auto) -> set(auto_inference).
% 7.36/7.65      % set(auto) -> set(auto_setup).
% 7.36/7.65      % set(auto_setup) -> set(predicate_elim).
% 7.36/7.65      % set(auto_setup) -> assign(eq_defs, unfold).
% 7.36/7.65      % set(auto) -> set(auto_limits).
% 7.36/7.65      % set(auto_limits) -> assign(max_weight, "100.000").
% 7.36/7.65      % set(auto_limits) -> assign(sos_limit, 20000).
% 7.36/7.65      % set(auto) -> set(auto_denials).
% 7.36/7.65      % set(auto) -> set(auto_process).
% 7.36/7.65      % set(auto2) -> assign(new_constants, 1).
% 7.36/7.65      % set(auto2) -> assign(fold_denial_max, 3).
% 7.36/7.65      % set(auto2) -> assign(max_weight, "200.000").
% 7.36/7.65      % set(auto2) -> assign(max_hours, 1).
% 7.36/7.65      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 7.36/7.65      % set(auto2) -> assign(max_seconds, 0).
% 7.36/7.65      % set(auto2) -> assign(max_minutes, 5).
% 7.36/7.65      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 7.36/7.65      % set(auto2) -> set(sort_initial_sos).
% 7.36/7.65      % set(auto2) -> assign(sos_limit, -1).
% 7.36/7.65      % set(auto2) -> assign(lrs_ticks, 3000).
% 7.36/7.65      % set(auto2) -> assign(max_megs, 400).
% 7.36/7.65      % set(auto2) -> assign(stats, some).
% 7.36/7.65      % set(auto2) -> clear(echo_input).
% 7.36/7.65      % set(auto2) -> set(quiet).
% 7.36/7.65      % set(auto2) -> clear(print_initial_clauses).
% 7.36/7.65      % set(auto2) -> clear(print_given).
% 7.36/7.65  assign(lrs_ticks,-1).
% 7.36/7.65  assign(sos_limit,10000).
% 7.36/7.65  assign(order,kbo).
% 7.36/7.65  set(lex_order_vars).
% 7.36/7.65  clear(print_given).
% 7.36/7.65  
% 7.36/7.65  % formulas(sos).  % not echoed (40 formulas)
% 7.36/7.65  
% 7.36/7.65  ============================== end of input ==========================
% 7.36/7.65  
% 7.36/7.65  % From the command line: assign(max_seconds, 300).
% 7.36/7.65  
% 7.36/7.65  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 7.36/7.65  
% 7.36/7.65  % Formulas that are not ordinary clauses:
% 7.36/7.65  
% 7.36/7.65  ============================== end of process non-clausal formulas ===
% 7.36/7.65  
% 7.36/7.65  ============================== PROCESS INITIAL CLAUSES ===============
% 7.36/7.65  
% 7.36/7.65  ============================== PREDICATE ELIMINATION =================
% 7.36/7.65  
% 7.36/7.65  ============================== end predicate elimination =============
% 7.36/7.65  
% 7.36/7.65  Auto_denials:  (non-Horn, no changes).
% 7.36/7.65  
% 7.36/7.65  Term ordering decisions:
% 7.36/7.65  Function symbol KB weights:  lower_dimension_point_1=1. lower_dimension_point_2=1. lower_dimension_point_3=1. u=1. v=1. reflection=1. extension=1. euclid1=1. euclid2=1. inner_pasch=1. continuous=1.
% 7.36/7.65  
% 7.36/7.65  ============================== end of process initial clauses ========
% 7.36/7.65  
% 7.36/7.65  ============================== CLAUSES FOR SEARCH ====================
% 7.36/7.65  
% 7.36/7.65  ============================== end of clauses for search =============
% 7.36/7.65  
% 7.36/7.65  ============================== SEARCH ================================
% 7.36/7.65  
% 7.36/7.65  % Starting search at 0.02 seconds.
% 7.36/7.65  
% 7.36/7.65  ============================== PROOF =================================
% 7.36/7.65  % SZS status Unsatisfiable
% 7.36/7.65  % SZS output start Refutation
% 7.36/7.65  
% 7.36/7.65  % Proof 1 at 6.67 (+ 0.00) seconds.
% 7.36/7.65  % Length of proof is 14.
% 7.36/7.65  % Level of proof is 3.
% 7.36/7.65  % Maximum clause weight is 19.000.
% 7.36/7.65  % Given clauses 162.
% 7.36/7.65  
% 7.36/7.65  10 between(A,B,extension(A,B,C,D)) # label(segment_construction1) # label(axiom).  [assumption].
% 7.36/7.65  11 equidistant(A,extension(B,A,C,D),C,D) # label(segment_construction2) # label(axiom).  [assumption].
% 7.36/7.65  13 u != v # label(u_not_v) # label(hypothesis).  [assumption].
% 7.36/7.65  14 v != u.  [copy(13),flip(a)].
% 7.36/7.65  18 extension(u,v,u,v) != extension(u,v,v,u) # label(prove_equal_extensions) # label(negated_conjecture).  [assumption].
% 7.36/7.65  19 extension(u,v,v,u) != extension(u,v,u,v).  [copy(18),flip(a)].
% 7.36/7.65  31 -equidistant(A,B,C,D) | equidistant(D,C,A,B) # label(d4_4) # label(axiom).  [assumption].
% 7.36/7.65  36 -equidistant(A,B,C,D) | -equidistant(C,D,E,F) | equidistant(A,B,E,F) # label(d5) # label(axiom).  [assumption].
% 7.36/7.65  39 -between(A,B,C) | -between(A,B,D) | -equidistant(B,C,B,D) | A = B | C = D # label(d9) # label(axiom).  [assumption].
% 7.36/7.65  83 equidistant(A,B,C,extension(D,C,B,A)).  [resolve(31,a,11,a)].
% 7.36/7.65  93 -equidistant(A,B,C,D) | equidistant(E,extension(F,E,A,B),C,D).  [resolve(36,a,11,a)].
% 7.36/7.65  102 -equidistant(v,extension(u,v,u,v),v,extension(u,v,v,u)).  [ur(39,a,10,a,b,10,a,d,14,a(flip),e,19,a(flip))].
% 7.36/7.65  947 equidistant(A,extension(B,A,C,D),E,extension(F,E,D,C)).  [resolve(93,a,83,a)].
% 7.36/7.65  948 $F.  [resolve(947,a,102,a)].
% 7.36/7.65  
% 7.36/7.65  % SZS output end Refutation
% 7.36/7.65  ============================== end of proof ==========================
% 7.36/7.65  
% 7.36/7.65  ============================== STATISTICS ============================
% 7.36/7.65  
% 7.36/7.65  Given=162. Generated=2910. Kept=940. proofs=1.
% 7.36/7.65  Usable=153. Sos=683. Demods=12. Limbo=3, Disabled=140. Hints=0.
% 7.36/7.65  Megabytes=0.83.
% 7.36/7.65  User_CPU=6.67, System_CPU=0.00, Wall_clock=7.
% 7.36/7.65  
% 7.36/7.65  ============================== end of statistics =====================
% 7.36/7.65  
% 7.36/7.65  ============================== end of search =========================
% 7.36/7.65  
% 7.36/7.65  THEOREM PROVED
% 7.36/7.65  % SZS status Unsatisfiable
% 7.36/7.65  
% 7.36/7.65  Exiting with 1 proof.
% 7.36/7.65  
% 7.36/7.65  Process 27467 exit (max_proofs) Sat Jun 18 11:21:30 2022
% 7.36/7.65  Prover9 interrupted
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