TSTP Solution File: GEO044-3 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : GEO044-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n016.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 05:53:31 EDT 2022

% Result   : Unsatisfiable 3.27s 3.53s
% Output   : Refutation 3.27s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO044-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jun 18 00:15:36 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 3.27/3.53  ============================== Prover9 ===============================
% 3.27/3.53  Prover9 (32) version 2009-11A, November 2009.
% 3.27/3.53  Process 11326 was started by sandbox on n016.cluster.edu,
% 3.27/3.53  Sat Jun 18 00:15:37 2022
% 3.27/3.53  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_11173_n016.cluster.edu".
% 3.27/3.53  ============================== end of head ===========================
% 3.27/3.53  
% 3.27/3.53  ============================== INPUT =================================
% 3.27/3.53  
% 3.27/3.53  % Reading from file /tmp/Prover9_11173_n016.cluster.edu
% 3.27/3.53  
% 3.27/3.53  set(prolog_style_variables).
% 3.27/3.53  set(auto2).
% 3.27/3.53      % set(auto2) -> set(auto).
% 3.27/3.53      % set(auto) -> set(auto_inference).
% 3.27/3.53      % set(auto) -> set(auto_setup).
% 3.27/3.53      % set(auto_setup) -> set(predicate_elim).
% 3.27/3.53      % set(auto_setup) -> assign(eq_defs, unfold).
% 3.27/3.53      % set(auto) -> set(auto_limits).
% 3.27/3.53      % set(auto_limits) -> assign(max_weight, "100.000").
% 3.27/3.53      % set(auto_limits) -> assign(sos_limit, 20000).
% 3.27/3.53      % set(auto) -> set(auto_denials).
% 3.27/3.53      % set(auto) -> set(auto_process).
% 3.27/3.53      % set(auto2) -> assign(new_constants, 1).
% 3.27/3.53      % set(auto2) -> assign(fold_denial_max, 3).
% 3.27/3.53      % set(auto2) -> assign(max_weight, "200.000").
% 3.27/3.53      % set(auto2) -> assign(max_hours, 1).
% 3.27/3.53      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 3.27/3.53      % set(auto2) -> assign(max_seconds, 0).
% 3.27/3.53      % set(auto2) -> assign(max_minutes, 5).
% 3.27/3.53      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 3.27/3.53      % set(auto2) -> set(sort_initial_sos).
% 3.27/3.53      % set(auto2) -> assign(sos_limit, -1).
% 3.27/3.53      % set(auto2) -> assign(lrs_ticks, 3000).
% 3.27/3.53      % set(auto2) -> assign(max_megs, 400).
% 3.27/3.53      % set(auto2) -> assign(stats, some).
% 3.27/3.53      % set(auto2) -> clear(echo_input).
% 3.27/3.53      % set(auto2) -> set(quiet).
% 3.27/3.53      % set(auto2) -> clear(print_initial_clauses).
% 3.27/3.53      % set(auto2) -> clear(print_given).
% 3.27/3.53  assign(lrs_ticks,-1).
% 3.27/3.53  assign(sos_limit,10000).
% 3.27/3.53  assign(order,kbo).
% 3.27/3.53  set(lex_order_vars).
% 3.27/3.53  clear(print_given).
% 3.27/3.53  
% 3.27/3.53  % formulas(sos).  % not echoed (57 formulas)
% 3.27/3.53  
% 3.27/3.53  ============================== end of input ==========================
% 3.27/3.53  
% 3.27/3.53  % From the command line: assign(max_seconds, 300).
% 3.27/3.53  
% 3.27/3.53  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 3.27/3.53  
% 3.27/3.53  % Formulas that are not ordinary clauses:
% 3.27/3.53  
% 3.27/3.53  ============================== end of process non-clausal formulas ===
% 3.27/3.53  
% 3.27/3.53  ============================== PROCESS INITIAL CLAUSES ===============
% 3.27/3.53  
% 3.27/3.53  ============================== PREDICATE ELIMINATION =================
% 3.27/3.53  
% 3.27/3.53  ============================== end predicate elimination =============
% 3.27/3.53  
% 3.27/3.53  Auto_denials:  (non-Horn, no changes).
% 3.27/3.53  
% 3.27/3.53  Term ordering decisions:
% 3.27/3.53  Function symbol KB weights:  v=1. w=1. u=1. x=1. 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.
% 3.27/3.53  
% 3.27/3.53  ============================== end of process initial clauses ========
% 3.27/3.53  
% 3.27/3.53  ============================== CLAUSES FOR SEARCH ====================
% 3.27/3.53  
% 3.27/3.53  ============================== end of clauses for search =============
% 3.27/3.53  
% 3.27/3.53  ============================== SEARCH ================================
% 3.27/3.53  
% 3.27/3.53  % Starting search at 0.02 seconds.
% 3.27/3.53  
% 3.27/3.53  ============================== PROOF =================================
% 3.27/3.53  % SZS status Unsatisfiable
% 3.27/3.53  % SZS output start Refutation
% 3.27/3.53  
% 3.27/3.53  % Proof 1 at 2.51 (+ 0.00) seconds.
% 3.27/3.53  % Length of proof is 17.
% 3.27/3.53  % Level of proof is 3.
% 3.27/3.53  % Maximum clause weight is 19.000.
% 3.27/3.53  % Given clauses 151.
% 3.27/3.53  
% 3.27/3.53  3 between(u,v,w) # label(v_between_u_and_w) # label(hypothesis).  [assumption].
% 3.27/3.53  4 between(v,w,x) # label(w_between_v_and_x) # label(hypothesis).  [assumption].
% 3.27/3.53  16 between(A,B,extension(A,B,C,D)) # label(segment_construction1) # label(axiom).  [assumption].
% 3.27/3.53  17 equidistant(A,extension(B,A,C,D),C,D) # label(segment_construction2) # label(axiom).  [assumption].
% 3.27/3.53  23 v != w # label(v_not_w) # label(hypothesis).  [assumption].
% 3.27/3.53  24 w != v.  [copy(23),flip(a)].
% 3.27/3.53  28 -between(u,w,x) # label(prove_w_between_u_and_x) # label(negated_conjecture).  [assumption].
% 3.27/3.53  38 -equidistant(A,B,C,D) | equidistant(A,B,D,C) # label(d4_1) # label(axiom).  [assumption].
% 3.27/3.53  43 A != extension(B,C,D,E) | between(B,C,A) # label(b0) # label(axiom).  [assumption].
% 3.27/3.53  44 extension(A,B,C,D) != E | between(A,B,E).  [copy(43),flip(a)].
% 3.27/3.53  48 -between(A,B,C) | -between(A,C,D) | between(B,C,D) # label(b5) # label(axiom).  [assumption].
% 3.27/3.53  55 -between(A,B,C) | -between(A,B,D) | -equidistant(B,C,B,D) | A = B | C = D # label(d9) # label(axiom).  [assumption].
% 3.27/3.53  96 equidistant(A,extension(B,A,C,D),D,C).  [resolve(38,a,17,a)].
% 3.27/3.53  101 extension(u,w,A,B) != x.  [ur(44,b,28,a)].
% 3.27/3.53  130 -between(u,w,A) | between(v,w,A).  [resolve(48,a,3,a)].
% 3.27/3.53  442 between(v,w,extension(u,w,A,B)).  [resolve(130,a,16,a)].
% 3.27/3.53  855 $F.  [ur(55,b,4,a,c,96,a,d,24,a(flip),e,101,a),unit_del(a,442)].
% 3.27/3.53  
% 3.27/3.53  % SZS output end Refutation
% 3.27/3.53  ============================== end of proof ==========================
% 3.27/3.53  
% 3.27/3.53  ============================== STATISTICS ============================
% 3.27/3.53  
% 3.27/3.53  Given=151. Generated=2463. Kept=844. proofs=1.
% 3.27/3.53  Usable=148. Sos=661. Demods=12. Limbo=2, Disabled=90. Hints=0.
% 3.27/3.53  Megabytes=0.81.
% 3.27/3.53  User_CPU=2.51, System_CPU=0.00, Wall_clock=2.
% 3.27/3.53  
% 3.27/3.53  ============================== end of statistics =====================
% 3.27/3.53  
% 3.27/3.53  ============================== end of search =========================
% 3.27/3.53  
% 3.27/3.53  THEOREM PROVED
% 3.27/3.53  % SZS status Unsatisfiable
% 3.27/3.53  
% 3.27/3.53  Exiting with 1 proof.
% 3.27/3.53  
% 3.27/3.53  Process 11326 exit (max_proofs) Sat Jun 18 00:15:39 2022
% 3.27/3.53  Prover9 interrupted
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