TSTP Solution File: GEO048-3 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : GEO048-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n011.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 05:53:33 EDT 2022

% Result   : Unsatisfiable 18.64s 18.96s
% Output   : Refutation 18.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO048-3 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.35  % Computer : n011.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 01:27:52 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 18.64/18.96  ============================== Prover9 ===============================
% 18.64/18.96  Prover9 (32) version 2009-11A, November 2009.
% 18.64/18.96  Process 32096 was started by sandbox2 on n011.cluster.edu,
% 18.64/18.96  Sat Jun 18 01:27:53 2022
% 18.64/18.96  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_31941_n011.cluster.edu".
% 18.64/18.96  ============================== end of head ===========================
% 18.64/18.96  
% 18.64/18.96  ============================== INPUT =================================
% 18.64/18.96  
% 18.64/18.96  % Reading from file /tmp/Prover9_31941_n011.cluster.edu
% 18.64/18.96  
% 18.64/18.96  set(prolog_style_variables).
% 18.64/18.96  set(auto2).
% 18.64/18.96      % set(auto2) -> set(auto).
% 18.64/18.96      % set(auto) -> set(auto_inference).
% 18.64/18.96      % set(auto) -> set(auto_setup).
% 18.64/18.96      % set(auto_setup) -> set(predicate_elim).
% 18.64/18.96      % set(auto_setup) -> assign(eq_defs, unfold).
% 18.64/18.96      % set(auto) -> set(auto_limits).
% 18.64/18.96      % set(auto_limits) -> assign(max_weight, "100.000").
% 18.64/18.96      % set(auto_limits) -> assign(sos_limit, 20000).
% 18.64/18.96      % set(auto) -> set(auto_denials).
% 18.64/18.96      % set(auto) -> set(auto_process).
% 18.64/18.96      % set(auto2) -> assign(new_constants, 1).
% 18.64/18.96      % set(auto2) -> assign(fold_denial_max, 3).
% 18.64/18.96      % set(auto2) -> assign(max_weight, "200.000").
% 18.64/18.96      % set(auto2) -> assign(max_hours, 1).
% 18.64/18.96      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 18.64/18.96      % set(auto2) -> assign(max_seconds, 0).
% 18.64/18.96      % set(auto2) -> assign(max_minutes, 5).
% 18.64/18.96      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 18.64/18.96      % set(auto2) -> set(sort_initial_sos).
% 18.64/18.96      % set(auto2) -> assign(sos_limit, -1).
% 18.64/18.96      % set(auto2) -> assign(lrs_ticks, 3000).
% 18.64/18.96      % set(auto2) -> assign(max_megs, 400).
% 18.64/18.96      % set(auto2) -> assign(stats, some).
% 18.64/18.96      % set(auto2) -> clear(echo_input).
% 18.64/18.96      % set(auto2) -> set(quiet).
% 18.64/18.96      % set(auto2) -> clear(print_initial_clauses).
% 18.64/18.96      % set(auto2) -> clear(print_given).
% 18.64/18.96  assign(lrs_ticks,-1).
% 18.64/18.96  assign(sos_limit,10000).
% 18.64/18.96  assign(order,kbo).
% 18.64/18.96  set(lex_order_vars).
% 18.64/18.96  clear(print_given).
% 18.64/18.96  
% 18.64/18.96  % formulas(sos).  % not echoed (68 formulas)
% 18.64/18.96  
% 18.64/18.96  ============================== end of input ==========================
% 18.64/18.96  
% 18.64/18.96  % From the command line: assign(max_seconds, 300).
% 18.64/18.96  
% 18.64/18.96  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 18.64/18.96  
% 18.64/18.96  % Formulas that are not ordinary clauses:
% 18.64/18.96  
% 18.64/18.96  ============================== end of process non-clausal formulas ===
% 18.64/18.96  
% 18.64/18.96  ============================== PROCESS INITIAL CLAUSES ===============
% 18.64/18.96  
% 18.64/18.96  ============================== PREDICATE ELIMINATION =================
% 18.64/18.96  
% 18.64/18.96  ============================== end predicate elimination =============
% 18.64/18.96  
% 18.64/18.96  Auto_denials:  (non-Horn, no changes).
% 18.64/18.96  
% 18.64/18.96  Term ordering decisions:
% 18.64/18.96  Function symbol KB weights:  lower_dimension_point_1=1. lower_dimension_point_2=1. u=1. u1=1. w=1. v=1. v1=1. x=1. lower_dimension_point_3=1. reflection=1. extension=1. euclid1=1. euclid2=1. inner_pasch=1. continuous=1.
% 18.64/18.96  
% 18.64/18.96  ============================== end of process initial clauses ========
% 18.64/18.96  
% 18.64/18.96  ============================== CLAUSES FOR SEARCH ====================
% 18.64/18.96  
% 18.64/18.96  ============================== end of clauses for search =============
% 18.64/18.96  
% 18.64/18.96  ============================== SEARCH ================================
% 18.64/18.96  
% 18.64/18.96  % Starting search at 0.02 seconds.
% 18.64/18.96  
% 18.64/18.96  Low Water (keep): wt=42.000, iters=3334
% 18.64/18.96  
% 18.64/18.96  Low Water (keep): wt=41.000, iters=3372
% 18.64/18.96  
% 18.64/18.96  Low Water (keep): wt=36.000, iters=3336
% 18.64/18.96  
% 18.64/18.96  Low Water (keep): wt=31.000, iters=3335
% 18.64/18.96  
% 18.64/18.96  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 42 (0.00 of 17.88 sec).
% 18.64/18.96  
% 18.64/18.96  Low Water (keep): wt=29.000, iters=3378
% 18.64/18.96  
% 18.64/18.96  ============================== PROOF =================================
% 18.64/18.96  % SZS status Unsatisfiable
% 18.64/18.96  % SZS output start Refutation
% 18.64/18.96  
% 18.64/18.96  % Proof 1 at 17.93 (+ 0.02) seconds.
% 18.64/18.96  % Length of proof is 10.
% 18.64/18.96  % Level of proof is 3.
% 18.64/18.96  % Maximum clause weight is 17.000.
% 18.64/18.96  % Given clauses 525.
% 18.64/18.96  
% 18.64/18.96  3 between(u,v,w) # label(v_between_u_and_w) # label(hypothesis).  [assumption].
% 18.64/18.96  4 between(u1,v1,w) # label(v1_between_u1_and_w) # label(hypothesis).  [assumption].
% 18.64/18.96  5 between(u,x,u1) # label(x_between_u_and_u1) # label(hypothesis).  [assumption].
% 18.64/18.96  37 -between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1) # label(prove_conclusion2) # label(negated_conjecture).  [assumption].
% 18.64/18.96  44 -between(A,B,C) | between(C,B,A) # label(t1) # label(axiom).  [assumption].
% 18.64/18.96  67 -between(A,B,C) | -between(D,E,C) | between(E,inner_pasch(A,B,C,E,D),A) # label(inner_pasch2) # label(axiom).  [assumption].
% 18.64/18.96  124 between(w,v1,u1).  [resolve(44,a,4,a)].
% 18.64/18.96  125 between(w,v,u).  [resolve(44,a,3,a)].
% 18.64/18.96  522 -between(v1,inner_pasch(u,x,u1,v1,w),u).  [ur(67,b,125,a,c,37,a)].
% 18.64/18.96  7165 $F.  [ur(67,b,124,a,c,522,a),unit_del(a,5)].
% 18.64/18.96  
% 18.64/18.96  % SZS output end Refutation
% 18.64/18.96  ============================== end of proof ==========================
% 18.64/18.96  
% 18.64/18.96  ============================== STATISTICS ============================
% 18.64/18.96  
% 18.64/18.96  Given=525. Generated=23138. Kept=7151. proofs=1.
% 18.64/18.96  Usable=522. Sos=6447. Demods=5. Limbo=5, Disabled=245. Hints=0.
% 18.64/18.96  Megabytes=7.22.
% 18.64/18.96  User_CPU=17.93, System_CPU=0.02, Wall_clock=18.
% 18.64/18.96  
% 18.64/18.96  ============================== end of statistics =====================
% 18.64/18.96  
% 18.64/18.96  ============================== end of search =========================
% 18.64/18.96  
% 18.64/18.96  THEOREM PROVED
% 18.64/18.96  % SZS status Unsatisfiable
% 18.64/18.96  
% 18.64/18.96  Exiting with 1 proof.
% 18.64/18.96  
% 18.64/18.96  Process 32096 exit (max_proofs) Sat Jun 18 01:28:11 2022
% 18.64/18.96  Prover9 interrupted
%------------------------------------------------------------------------------