TSTP Solution File: GEO063-3 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : GEO063-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n006.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 05:53:40 EDT 2022

% Result   : Unsatisfiable 0.79s 1.13s
% Output   : Refutation 0.79s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : GEO063-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.14/0.14  % Command  : tptp2X_and_run_prover9 %d %s
% 0.14/0.36  % Computer : n006.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jun 18 12:16:10 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.79/1.13  ============================== Prover9 ===============================
% 0.79/1.13  Prover9 (32) version 2009-11A, November 2009.
% 0.79/1.13  Process 25046 was started by sandbox2 on n006.cluster.edu,
% 0.79/1.13  Sat Jun 18 12:16:11 2022
% 0.79/1.13  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_24893_n006.cluster.edu".
% 0.79/1.13  ============================== end of head ===========================
% 0.79/1.13  
% 0.79/1.13  ============================== INPUT =================================
% 0.79/1.13  
% 0.79/1.13  % Reading from file /tmp/Prover9_24893_n006.cluster.edu
% 0.79/1.13  
% 0.79/1.13  set(prolog_style_variables).
% 0.79/1.13  set(auto2).
% 0.79/1.13      % set(auto2) -> set(auto).
% 0.79/1.13      % set(auto) -> set(auto_inference).
% 0.79/1.13      % set(auto) -> set(auto_setup).
% 0.79/1.13      % set(auto_setup) -> set(predicate_elim).
% 0.79/1.13      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.79/1.13      % set(auto) -> set(auto_limits).
% 0.79/1.13      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.79/1.13      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.79/1.13      % set(auto) -> set(auto_denials).
% 0.79/1.13      % set(auto) -> set(auto_process).
% 0.79/1.13      % set(auto2) -> assign(new_constants, 1).
% 0.79/1.13      % set(auto2) -> assign(fold_denial_max, 3).
% 0.79/1.13      % set(auto2) -> assign(max_weight, "200.000").
% 0.79/1.13      % set(auto2) -> assign(max_hours, 1).
% 0.79/1.13      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.79/1.13      % set(auto2) -> assign(max_seconds, 0).
% 0.79/1.13      % set(auto2) -> assign(max_minutes, 5).
% 0.79/1.13      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.79/1.13      % set(auto2) -> set(sort_initial_sos).
% 0.79/1.13      % set(auto2) -> assign(sos_limit, -1).
% 0.79/1.13      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.79/1.13      % set(auto2) -> assign(max_megs, 400).
% 0.79/1.13      % set(auto2) -> assign(stats, some).
% 0.79/1.13      % set(auto2) -> clear(echo_input).
% 0.79/1.13      % set(auto2) -> set(quiet).
% 0.79/1.13      % set(auto2) -> clear(print_initial_clauses).
% 0.79/1.13      % set(auto2) -> clear(print_given).
% 0.79/1.13  assign(lrs_ticks,-1).
% 0.79/1.13  assign(sos_limit,10000).
% 0.79/1.13  assign(order,kbo).
% 0.79/1.13  set(lex_order_vars).
% 0.79/1.13  clear(print_given).
% 0.79/1.13  
% 0.79/1.13  % formulas(sos).  % not echoed (76 formulas)
% 0.79/1.13  
% 0.79/1.13  ============================== end of input ==========================
% 0.79/1.13  
% 0.79/1.13  % From the command line: assign(max_seconds, 300).
% 0.79/1.13  
% 0.79/1.13  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.79/1.13  
% 0.79/1.13  % Formulas that are not ordinary clauses:
% 0.79/1.13  
% 0.79/1.13  ============================== end of process non-clausal formulas ===
% 0.79/1.13  
% 0.79/1.13  ============================== PROCESS INITIAL CLAUSES ===============
% 0.79/1.13  
% 0.79/1.13  ============================== PREDICATE ELIMINATION =================
% 0.79/1.13  
% 0.79/1.13  ============================== end predicate elimination =============
% 0.79/1.13  
% 0.79/1.13  Auto_denials:  (non-Horn, no changes).
% 0.79/1.13  
% 0.79/1.13  Term ordering decisions:
% 0.79/1.13  Function symbol KB weights:  lower_dimension_point_1=1. lower_dimension_point_2=1. w=1. x=1. y=1. z=1. lower_dimension_point_3=1. u=1. v=1. reflection=1. extension=1. insertion=1. inner_pasch=1. euclid1=1. euclid2=1. continuous=1.
% 0.79/1.13  
% 0.79/1.13  ============================== end of process initial clauses ========
% 0.79/1.13  
% 0.79/1.13  ============================== CLAUSES FOR SEARCH ====================
% 0.79/1.13  
% 0.79/1.13  ============================== end of clauses for search =============
% 0.79/1.13  
% 0.79/1.13  ============================== SEARCH ================================
% 0.79/1.13  
% 0.79/1.13  % Starting search at 0.02 seconds.
% 0.79/1.13  
% 0.79/1.13  ============================== PROOF =================================
% 0.79/1.13  % SZS status Unsatisfiable
% 0.79/1.13  % SZS output start Refutation
% 0.79/1.13  
% 0.79/1.13  % Proof 1 at 0.04 (+ 0.00) seconds.
% 0.79/1.13  % Length of proof is 10.
% 0.79/1.13  % Level of proof is 2.
% 0.79/1.13  % Maximum clause weight is 19.000.
% 0.79/1.13  % Given clauses 53.
% 0.79/1.13  
% 0.79/1.13  8 equidistant(w,x,y,z) # label(w_to_x_equals_y_to_z) # label(hypothesis).  [assumption].
% 0.79/1.13  24 insertion(A,B,C,D) = extension(extension(B,A,lower_dimension_point_1,lower_dimension_point_2),A,C,D) # label(insertion) # label(axiom).  [assumption].
% 0.79/1.13  34 A != extension(B,A,lower_dimension_point_1,lower_dimension_point_2) # label(e3_1) # label(axiom).  [assumption].
% 0.79/1.13  35 extension(A,B,lower_dimension_point_1,lower_dimension_point_2) != B.  [copy(34),flip(a)].
% 0.79/1.13  36 insertion(u,v,w,x) != insertion(u,v,y,z) # label(prove_equality_of_insertions) # label(negated_conjecture).  [assumption].
% 0.79/1.13  37 extension(extension(v,u,lower_dimension_point_1,lower_dimension_point_2),u,y,z) != extension(extension(v,u,lower_dimension_point_1,lower_dimension_point_2),u,w,x).  [copy(36),rewrite([24(5),24(14)]),flip(a)].
% 0.79/1.13  45 -equidistant(A,B,C,D) | equidistant(C,D,A,B) # label(d2) # label(axiom).  [assumption].
% 0.79/1.13  76 -equidistant(A,B,C,D) | extension(E,F,A,B) = extension(E,F,C,D) | E = F # label(d10_2) # label(axiom).  [assumption].
% 0.79/1.13  161 equidistant(y,z,w,x).  [resolve(45,a,8,a)].
% 0.79/1.13  278 $F.  [ur(76,b,37,a,c,35,a),unit_del(a,161)].
% 0.79/1.13  
% 0.79/1.13  % SZS output end Refutation
% 0.79/1.13  ============================== end of proof ==========================
% 0.79/1.13  
% 0.79/1.13  ============================== STATISTICS ============================
% 0.79/1.13  
% 0.79/1.13  Given=53. Generated=546. Kept=260. proofs=1.
% 0.79/1.13  Usable=53. Sos=194. Demods=9. Limbo=4, Disabled=85. Hints=0.
% 0.79/1.13  Megabytes=0.32.
% 0.79/1.13  User_CPU=0.04, System_CPU=0.00, Wall_clock=0.
% 0.79/1.13  
% 0.79/1.13  ============================== end of statistics =====================
% 0.79/1.13  
% 0.79/1.13  ============================== end of search =========================
% 0.79/1.13  
% 0.79/1.13  THEOREM PROVED
% 0.79/1.13  % SZS status Unsatisfiable
% 0.79/1.13  
% 0.79/1.13  Exiting with 1 proof.
% 0.79/1.13  
% 0.79/1.13  Process 25046 exit (max_proofs) Sat Jun 18 12:16:11 2022
% 0.79/1.13  Prover9 interrupted
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