TSTP Solution File: GEO036-3 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : GEO036-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n015.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 05:53:26 EDT 2022

% Result   : Unsatisfiable 0.85s 1.12s
% Output   : Refutation 0.85s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : GEO036-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n015.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 01:31:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.85/1.12  ============================== Prover9 ===============================
% 0.85/1.12  Prover9 (32) version 2009-11A, November 2009.
% 0.85/1.12  Process 16014 was started by sandbox2 on n015.cluster.edu,
% 0.85/1.12  Sat Jun 18 01:31:43 2022
% 0.85/1.12  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_15851_n015.cluster.edu".
% 0.85/1.12  ============================== end of head ===========================
% 0.85/1.12  
% 0.85/1.12  ============================== INPUT =================================
% 0.85/1.12  
% 0.85/1.12  % Reading from file /tmp/Prover9_15851_n015.cluster.edu
% 0.85/1.12  
% 0.85/1.12  set(prolog_style_variables).
% 0.85/1.12  set(auto2).
% 0.85/1.12      % set(auto2) -> set(auto).
% 0.85/1.12      % set(auto) -> set(auto_inference).
% 0.85/1.12      % set(auto) -> set(auto_setup).
% 0.85/1.12      % set(auto_setup) -> set(predicate_elim).
% 0.85/1.12      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.85/1.12      % set(auto) -> set(auto_limits).
% 0.85/1.12      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.85/1.12      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.85/1.12      % set(auto) -> set(auto_denials).
% 0.85/1.12      % set(auto) -> set(auto_process).
% 0.85/1.12      % set(auto2) -> assign(new_constants, 1).
% 0.85/1.12      % set(auto2) -> assign(fold_denial_max, 3).
% 0.85/1.12      % set(auto2) -> assign(max_weight, "200.000").
% 0.85/1.12      % set(auto2) -> assign(max_hours, 1).
% 0.85/1.12      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.85/1.12      % set(auto2) -> assign(max_seconds, 0).
% 0.85/1.12      % set(auto2) -> assign(max_minutes, 5).
% 0.85/1.12      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.85/1.12      % set(auto2) -> set(sort_initial_sos).
% 0.85/1.12      % set(auto2) -> assign(sos_limit, -1).
% 0.85/1.12      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.85/1.12      % set(auto2) -> assign(max_megs, 400).
% 0.85/1.12      % set(auto2) -> assign(stats, some).
% 0.85/1.12      % set(auto2) -> clear(echo_input).
% 0.85/1.12      % set(auto2) -> set(quiet).
% 0.85/1.12      % set(auto2) -> clear(print_initial_clauses).
% 0.85/1.12      % set(auto2) -> clear(print_given).
% 0.85/1.12  assign(lrs_ticks,-1).
% 0.85/1.12  assign(sos_limit,10000).
% 0.85/1.12  assign(order,kbo).
% 0.85/1.12  set(lex_order_vars).
% 0.85/1.12  clear(print_given).
% 0.85/1.12  
% 0.85/1.12  % formulas(sos).  % not echoed (58 formulas)
% 0.85/1.12  
% 0.85/1.12  ============================== end of input ==========================
% 0.85/1.12  
% 0.85/1.12  % From the command line: assign(max_seconds, 300).
% 0.85/1.12  
% 0.85/1.12  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.85/1.12  
% 0.85/1.12  % Formulas that are not ordinary clauses:
% 0.85/1.12  
% 0.85/1.12  ============================== end of process non-clausal formulas ===
% 0.85/1.12  
% 0.85/1.12  ============================== PROCESS INITIAL CLAUSES ===============
% 0.85/1.12  
% 0.85/1.12  ============================== PREDICATE ELIMINATION =================
% 0.85/1.12  
% 0.85/1.12  ============================== end predicate elimination =============
% 0.85/1.12  
% 0.85/1.12  Auto_denials:  (non-Horn, no changes).
% 0.85/1.12  
% 0.85/1.12  Term ordering decisions:
% 0.85/1.12  Function symbol KB weights:  lower_dimension_point_1=1. lower_dimension_point_2=1. lower_dimension_point_3=1. reflection=1. extension=1. euclid1=1. euclid2=1. inner_pasch=1. continuous=1.
% 0.85/1.12  
% 0.85/1.12  ============================== end of process initial clauses ========
% 0.85/1.12  
% 0.85/1.12  ============================== CLAUSES FOR SEARCH ====================
% 0.85/1.12  
% 0.85/1.12  ============================== end of clauses for search =============
% 0.85/1.12  
% 0.85/1.12  ============================== SEARCH ================================
% 0.85/1.12  
% 0.85/1.12  % Starting search at 0.02 seconds.
% 0.85/1.12  
% 0.85/1.12  ============================== PROOF =================================
% 0.85/1.12  % SZS status Unsatisfiable
% 0.85/1.12  % SZS output start Refutation
% 0.85/1.12  
% 0.85/1.12  % Proof 1 at 0.03 (+ 0.00) seconds.
% 0.85/1.12  % Length of proof is 12.
% 0.85/1.12  % Level of proof is 3.
% 0.85/1.12  % Maximum clause weight is 11.000.
% 0.85/1.12  % Given clauses 28.
% 0.85/1.12  
% 0.85/1.12  1 between(A,B,B) # label(t3) # label(axiom).  [assumption].
% 0.85/1.12  2 between(A,A,B) # label(t2) # label(axiom).  [assumption].
% 0.85/1.12  19 lower_dimension_point_1 = lower_dimension_point_2 | lower_dimension_point_2 = lower_dimension_point_3 | lower_dimension_point_1 = lower_dimension_point_3 # label(prove_axioms_points_are_distinct) # label(negated_conjecture).  [assumption].
% 0.85/1.12  20 lower_dimension_point_2 = lower_dimension_point_1 | lower_dimension_point_3 = lower_dimension_point_2 | lower_dimension_point_3 = lower_dimension_point_1.  [copy(19),flip(a),flip(b),flip(c)].
% 0.85/1.12  23 -between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) # label(lower_dimension1) # label(axiom).  [assumption].
% 0.85/1.12  24 -between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) # label(lower_dimension2) # label(axiom).  [assumption].
% 0.85/1.12  25 -between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) # label(lower_dimension3) # label(axiom).  [assumption].
% 0.85/1.12  42 -between(A,B,C) | A != C | between(D,B,C) # label(b1) # label(axiom).  [assumption].
% 0.85/1.12  79 lower_dimension_point_2 = lower_dimension_point_1 | lower_dimension_point_3 = lower_dimension_point_1.  [para(20(b,1),23(a,3)),unit_del(c,1)].
% 0.85/1.12  102 lower_dimension_point_2 != lower_dimension_point_1.  [ur(42,a,2,a,c,25,a),flip(a)].
% 0.85/1.12  103 lower_dimension_point_3 != lower_dimension_point_1.  [ur(42,a,2,a,c,24,a)].
% 0.85/1.12  105 $F.  [back_unit_del(79),unit_del(a,102),unit_del(b,103)].
% 0.85/1.12  
% 0.85/1.12  % SZS output end Refutation
% 0.85/1.12  ============================== end of proof ==========================
% 0.85/1.12  
% 0.85/1.12  ============================== STATISTICS ============================
% 0.85/1.12  
% 0.85/1.12  Given=28. Generated=196. Kept=94. proofs=1.
% 0.85/1.12  Usable=27. Sos=55. Demods=3. Limbo=3, Disabled=67. Hints=0.
% 0.85/1.12  Megabytes=0.12.
% 0.85/1.12  User_CPU=0.03, System_CPU=0.00, Wall_clock=1.
% 0.85/1.12  
% 0.85/1.12  ============================== end of statistics =====================
% 0.85/1.12  
% 0.85/1.12  ============================== end of search =========================
% 0.85/1.12  
% 0.85/1.12  THEOREM PROVED
% 0.85/1.12  % SZS status Unsatisfiable
% 0.85/1.12  
% 0.85/1.12  Exiting with 1 proof.
% 0.85/1.12  
% 0.85/1.12  Process 16014 exit (max_proofs) Sat Jun 18 01:31:44 2022
% 0.85/1.12  Prover9 interrupted
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