TSTP Solution File: GEO030-3 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : GEO030-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n007.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 05:53:23 EDT 2022

% Result   : Unsatisfiable 1.42s 1.71s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GEO030-3 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n007.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 08:58:58 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.42/1.71  ============================== Prover9 ===============================
% 1.42/1.71  Prover9 (32) version 2009-11A, November 2009.
% 1.42/1.71  Process 14502 was started by sandbox on n007.cluster.edu,
% 1.42/1.71  Sat Jun 18 08:58:58 2022
% 1.42/1.71  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_14349_n007.cluster.edu".
% 1.42/1.71  ============================== end of head ===========================
% 1.42/1.71  
% 1.42/1.71  ============================== INPUT =================================
% 1.42/1.71  
% 1.42/1.71  % Reading from file /tmp/Prover9_14349_n007.cluster.edu
% 1.42/1.71  
% 1.42/1.71  set(prolog_style_variables).
% 1.42/1.71  set(auto2).
% 1.42/1.71      % set(auto2) -> set(auto).
% 1.42/1.71      % set(auto) -> set(auto_inference).
% 1.42/1.71      % set(auto) -> set(auto_setup).
% 1.42/1.71      % set(auto_setup) -> set(predicate_elim).
% 1.42/1.71      % set(auto_setup) -> assign(eq_defs, unfold).
% 1.42/1.71      % set(auto) -> set(auto_limits).
% 1.42/1.71      % set(auto_limits) -> assign(max_weight, "100.000").
% 1.42/1.71      % set(auto_limits) -> assign(sos_limit, 20000).
% 1.42/1.71      % set(auto) -> set(auto_denials).
% 1.42/1.71      % set(auto) -> set(auto_process).
% 1.42/1.71      % set(auto2) -> assign(new_constants, 1).
% 1.42/1.71      % set(auto2) -> assign(fold_denial_max, 3).
% 1.42/1.71      % set(auto2) -> assign(max_weight, "200.000").
% 1.42/1.71      % set(auto2) -> assign(max_hours, 1).
% 1.42/1.71      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.42/1.71      % set(auto2) -> assign(max_seconds, 0).
% 1.42/1.71      % set(auto2) -> assign(max_minutes, 5).
% 1.42/1.71      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.42/1.71      % set(auto2) -> set(sort_initial_sos).
% 1.42/1.71      % set(auto2) -> assign(sos_limit, -1).
% 1.42/1.71      % set(auto2) -> assign(lrs_ticks, 3000).
% 1.42/1.71      % set(auto2) -> assign(max_megs, 400).
% 1.42/1.71      % set(auto2) -> assign(stats, some).
% 1.42/1.71      % set(auto2) -> clear(echo_input).
% 1.42/1.71      % set(auto2) -> set(quiet).
% 1.42/1.71      % set(auto2) -> clear(print_initial_clauses).
% 1.42/1.71      % set(auto2) -> clear(print_given).
% 1.42/1.71  assign(lrs_ticks,-1).
% 1.42/1.71  assign(sos_limit,10000).
% 1.42/1.71  assign(order,kbo).
% 1.42/1.71  set(lex_order_vars).
% 1.42/1.71  clear(print_given).
% 1.42/1.71  
% 1.42/1.71  % formulas(sos).  % not echoed (69 formulas)
% 1.42/1.71  
% 1.42/1.71  ============================== end of input ==========================
% 1.42/1.71  
% 1.42/1.71  % From the command line: assign(max_seconds, 300).
% 1.42/1.71  
% 1.42/1.71  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.42/1.71  
% 1.42/1.71  % Formulas that are not ordinary clauses:
% 1.42/1.71  
% 1.42/1.71  ============================== end of process non-clausal formulas ===
% 1.42/1.71  
% 1.42/1.71  ============================== PROCESS INITIAL CLAUSES ===============
% 1.42/1.71  
% 1.42/1.71  ============================== PREDICATE ELIMINATION =================
% 1.42/1.71  
% 1.42/1.71  ============================== end predicate elimination =============
% 1.42/1.71  
% 1.42/1.71  Auto_denials:  (non-Horn, no changes).
% 1.42/1.71  
% 1.42/1.71  Term ordering decisions:
% 1.42/1.71  Function symbol KB weights:  lower_dimension_point_1=1. lower_dimension_point_2=1. u=1. v=1. w=1. w1=1. lower_dimension_point_3=1. reflection=1. extension=1. inner_pasch=1. euclid1=1. euclid2=1. continuous=1.
% 1.42/1.71  
% 1.42/1.71  ============================== end of process initial clauses ========
% 1.42/1.71  
% 1.42/1.71  ============================== CLAUSES FOR SEARCH ====================
% 1.42/1.71  
% 1.42/1.71  ============================== end of clauses for search =============
% 1.42/1.71  
% 1.42/1.71  ============================== SEARCH ================================
% 1.42/1.71  
% 1.42/1.71  % Starting search at 0.02 seconds.
% 1.42/1.71  
% 1.42/1.71  ============================== PROOF =================================
% 1.42/1.71  % SZS status Unsatisfiable
% 1.42/1.71  % SZS output start Refutation
% 1.42/1.71  
% 1.42/1.71  % Proof 1 at 0.73 (+ 0.00) seconds.
% 1.42/1.71  % Length of proof is 16.
% 1.42/1.71  % Level of proof is 3.
% 1.42/1.71  % Maximum clause weight is 36.000.
% 1.42/1.71  % Given clauses 162.
% 1.42/1.71  
% 1.42/1.71  3 between(u,v,w) # label(v_between_u_and_w) # label(hypothesis).  [assumption].
% 1.42/1.71  5 equidistant(A,B,A,B) # label(d1) # label(axiom).  [assumption].
% 1.42/1.71  9 equidistant(u,w,u,w1) # label(u_to_w_equals_u_to_w1) # label(hypothesis).  [assumption].
% 1.42/1.71  10 equidistant(v,w,v,w1) # label(v_to_w_equals_v_to_w1) # label(hypothesis).  [assumption].
% 1.42/1.71  31 u != v # label(u_not_v) # label(hypothesis).  [assumption].
% 1.42/1.71  32 v != u.  [copy(31),flip(a)].
% 1.42/1.71  33 w != w1 # label(prove_w_is_w1) # label(negated_conjecture).  [assumption].
% 1.42/1.71  34 w1 != w.  [copy(33),flip(a)].
% 1.42/1.71  41 -equidistant(A,B,C,C) | A = B # label(identity_for_equidistance) # label(axiom).  [assumption].
% 1.42/1.71  47 -equidistant(A,B,C,D) | equidistant(C,D,A,B) # label(d2) # label(axiom).  [assumption].
% 1.42/1.71  79 -equidistant(A,B,C,D) | -equidistant(B,E,D,F) | -equidistant(A,V6,C,V7) | -equidistant(B,V6,D,V7) | -between(A,B,E) | -between(C,D,F) | A = B | equidistant(E,V6,F,V7) # label(outer_five_segment) # label(axiom).  [assumption].
% 1.42/1.71  89 -equidistant(A,B,A,C) | -equidistant(D,B,D,C) | -between(A,D,E) | A = D | equidistant(E,B,E,C).  [factor(79,e,f),unit_del(a,5),unit_del(b,5)].
% 1.42/1.71  127 -equidistant(w,w1,A,A).  [ur(41,b,34,a(flip))].
% 1.42/1.71  151 equidistant(v,w1,v,w).  [resolve(47,a,10,a)].
% 1.42/1.71  152 equidistant(u,w1,u,w).  [resolve(47,a,9,a)].
% 1.42/1.71  1100 $F.  [ur(89,b,151,a,c,3,a,d,32,a(flip),e,127,a),unit_del(a,152)].
% 1.42/1.71  
% 1.42/1.71  % SZS output end Refutation
% 1.42/1.71  ============================== end of proof ==========================
% 1.42/1.71  
% 1.42/1.71  ============================== STATISTICS ============================
% 1.42/1.71  
% 1.42/1.71  Given=162. Generated=3330. Kept=1084. proofs=1.
% 1.42/1.71  Usable=161. Sos=841. Demods=4. Limbo=2, Disabled=149. Hints=0.
% 1.42/1.71  Megabytes=0.97.
% 1.42/1.71  User_CPU=0.73, System_CPU=0.00, Wall_clock=1.
% 1.42/1.71  
% 1.42/1.71  ============================== end of statistics =====================
% 1.42/1.71  
% 1.42/1.71  ============================== end of search =========================
% 1.42/1.71  
% 1.42/1.71  THEOREM PROVED
% 1.42/1.71  % SZS status Unsatisfiable
% 1.42/1.71  
% 1.42/1.71  Exiting with 1 proof.
% 1.42/1.71  
% 1.42/1.71  Process 14502 exit (max_proofs) Sat Jun 18 08:58:59 2022
% 1.42/1.71  Prover9 interrupted
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