TSTP Solution File: GEO051-3 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : GEO051-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 05:53:34 EDT 2022

% Result   : Unsatisfiable 1.72s 2.00s
% Output   : Refutation 1.72s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GEO051-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 10:19:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.72/2.00  ============================== Prover9 ===============================
% 1.72/2.00  Prover9 (32) version 2009-11A, November 2009.
% 1.72/2.00  Process 9891 was started by sandbox2 on n027.cluster.edu,
% 1.72/2.00  Sat Jun 18 10:19:23 2022
% 1.72/2.00  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_9738_n027.cluster.edu".
% 1.72/2.00  ============================== end of head ===========================
% 1.72/2.00  
% 1.72/2.00  ============================== INPUT =================================
% 1.72/2.00  
% 1.72/2.00  % Reading from file /tmp/Prover9_9738_n027.cluster.edu
% 1.72/2.00  
% 1.72/2.00  set(prolog_style_variables).
% 1.72/2.00  set(auto2).
% 1.72/2.00      % set(auto2) -> set(auto).
% 1.72/2.00      % set(auto) -> set(auto_inference).
% 1.72/2.00      % set(auto) -> set(auto_setup).
% 1.72/2.00      % set(auto_setup) -> set(predicate_elim).
% 1.72/2.00      % set(auto_setup) -> assign(eq_defs, unfold).
% 1.72/2.00      % set(auto) -> set(auto_limits).
% 1.72/2.00      % set(auto_limits) -> assign(max_weight, "100.000").
% 1.72/2.00      % set(auto_limits) -> assign(sos_limit, 20000).
% 1.72/2.00      % set(auto) -> set(auto_denials).
% 1.72/2.00      % set(auto) -> set(auto_process).
% 1.72/2.00      % set(auto2) -> assign(new_constants, 1).
% 1.72/2.00      % set(auto2) -> assign(fold_denial_max, 3).
% 1.72/2.00      % set(auto2) -> assign(max_weight, "200.000").
% 1.72/2.00      % set(auto2) -> assign(max_hours, 1).
% 1.72/2.00      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.72/2.00      % set(auto2) -> assign(max_seconds, 0).
% 1.72/2.00      % set(auto2) -> assign(max_minutes, 5).
% 1.72/2.00      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.72/2.00      % set(auto2) -> set(sort_initial_sos).
% 1.72/2.00      % set(auto2) -> assign(sos_limit, -1).
% 1.72/2.00      % set(auto2) -> assign(lrs_ticks, 3000).
% 1.72/2.00      % set(auto2) -> assign(max_megs, 400).
% 1.72/2.00      % set(auto2) -> assign(stats, some).
% 1.72/2.00      % set(auto2) -> clear(echo_input).
% 1.72/2.00      % set(auto2) -> set(quiet).
% 1.72/2.00      % set(auto2) -> clear(print_initial_clauses).
% 1.72/2.00      % set(auto2) -> clear(print_given).
% 1.72/2.00  assign(lrs_ticks,-1).
% 1.72/2.00  assign(sos_limit,10000).
% 1.72/2.00  assign(order,kbo).
% 1.72/2.00  set(lex_order_vars).
% 1.72/2.00  clear(print_given).
% 1.72/2.00  
% 1.72/2.00  % formulas(sos).  % not echoed (82 formulas)
% 1.72/2.00  
% 1.72/2.00  ============================== end of input ==========================
% 1.72/2.00  
% 1.72/2.00  % From the command line: assign(max_seconds, 300).
% 1.72/2.00  
% 1.72/2.00  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.72/2.00  
% 1.72/2.00  % Formulas that are not ordinary clauses:
% 1.72/2.00  
% 1.72/2.00  ============================== end of process non-clausal formulas ===
% 1.72/2.00  
% 1.72/2.00  ============================== PROCESS INITIAL CLAUSES ===============
% 1.72/2.00  
% 1.72/2.00  ============================== PREDICATE ELIMINATION =================
% 1.72/2.00  
% 1.72/2.00  ============================== end predicate elimination =============
% 1.72/2.00  
% 1.72/2.00  Auto_denials:  (non-Horn, no changes).
% 1.72/2.00  
% 1.72/2.00  Term ordering decisions:
% 1.72/2.00  Function symbol KB weights:  lower_dimension_point_1=1. lower_dimension_point_2=1. u=1. v=1. w=1. x=1. lower_dimension_point_3=1. reflection=1. extension=1. insertion=1. inner_pasch=1. euclid1=1. euclid2=1. continuous=1.
% 1.72/2.00  
% 1.72/2.00  ============================== end of process initial clauses ========
% 1.72/2.00  
% 1.72/2.00  ============================== CLAUSES FOR SEARCH ====================
% 1.72/2.00  
% 1.72/2.00  ============================== end of clauses for search =============
% 1.72/2.00  
% 1.72/2.00  ============================== SEARCH ================================
% 1.72/2.00  
% 1.72/2.00  % Starting search at 0.02 seconds.
% 1.72/2.00  
% 1.72/2.00  ============================== PROOF =================================
% 1.72/2.00  % SZS status Unsatisfiable
% 1.72/2.00  % SZS output start Refutation
% 1.72/2.00  
% 1.72/2.00  % Proof 1 at 1.00 (+ 0.01) seconds.
% 1.72/2.00  % Length of proof is 11.
% 1.72/2.00  % Level of proof is 2.
% 1.72/2.00  % Maximum clause weight is 19.000.
% 1.72/2.00  % Given clauses 150.
% 1.72/2.00  
% 1.72/2.00  3 between(u,v,w) # label(v_between_u_and_w) # label(hypothesis).  [assumption].
% 1.72/2.00  4 between(u,v,x) # label(v_between_u_and_x) # label(hypothesis).  [assumption].
% 1.72/2.00  32 u != v # label(u_not_v) # label(hypothesis).  [assumption].
% 1.72/2.00  33 v != u.  [copy(32),flip(a)].
% 1.72/2.00  37 -between(v,w,x) # label(w_not_between_v_and_x) # label(hypothesis).  [assumption].
% 1.72/2.00  38 -between(v,x,w) # label(prove_x_between_v_and_w) # label(negated_conjecture).  [assumption].
% 1.72/2.00  62 -between(A,B,C) | -between(A,C,D) | between(B,C,D) # label(b5) # label(axiom).  [assumption].
% 1.72/2.00  82 -between(A,B,C) | -between(A,B,D) | A = B | between(A,C,D) | between(A,D,C) # label(b12) # label(axiom).  [assumption].
% 1.72/2.00  225 -between(u,x,w).  [ur(62,a,4,a,c,38,a)].
% 1.72/2.00  226 -between(u,w,x).  [ur(62,a,3,a,c,37,a)].
% 1.72/2.00  1191 $F.  [ur(82,b,3,a,c,33,a(flip),d,225,a,e,226,a),unit_del(a,4)].
% 1.72/2.00  
% 1.72/2.00  % SZS output end Refutation
% 1.72/2.00  ============================== end of proof ==========================
% 1.72/2.00  
% 1.72/2.00  ============================== STATISTICS ============================
% 1.72/2.00  
% 1.72/2.00  Given=150. Generated=2981. Kept=1172. proofs=1.
% 1.72/2.00  Usable=145. Sos=948. Demods=21. Limbo=3, Disabled=158. Hints=0.
% 1.72/2.00  Megabytes=1.10.
% 1.72/2.00  User_CPU=1.00, System_CPU=0.01, Wall_clock=1.
% 1.72/2.00  
% 1.72/2.00  ============================== end of statistics =====================
% 1.72/2.00  
% 1.72/2.00  ============================== end of search =========================
% 1.72/2.00  
% 1.72/2.00  THEOREM PROVED
% 1.72/2.00  % SZS status Unsatisfiable
% 1.72/2.00  
% 1.72/2.00  Exiting with 1 proof.
% 1.72/2.00  
% 1.72/2.00  Process 9891 exit (max_proofs) Sat Jun 18 10:19:24 2022
% 1.72/2.01  Prover9 interrupted
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