TSTP Solution File: GEO116-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : GEO116-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n024.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 05:54:06 EDT 2022

% Result   : Timeout 300.03s 300.32s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO116-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun 18 16:04:02 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.44/1.02  ============================== Prover9 ===============================
% 0.44/1.02  Prover9 (32) version 2009-11A, November 2009.
% 0.44/1.02  Process 16540 was started by sandbox2 on n024.cluster.edu,
% 0.44/1.02  Sat Jun 18 16:04:03 2022
% 0.44/1.02  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_16387_n024.cluster.edu".
% 0.44/1.02  ============================== end of head ===========================
% 0.44/1.02  
% 0.44/1.02  ============================== INPUT =================================
% 0.44/1.02  
% 0.44/1.02  % Reading from file /tmp/Prover9_16387_n024.cluster.edu
% 0.44/1.02  
% 0.44/1.02  set(prolog_style_variables).
% 0.44/1.02  set(auto2).
% 0.44/1.02      % set(auto2) -> set(auto).
% 0.44/1.02      % set(auto) -> set(auto_inference).
% 0.44/1.02      % set(auto) -> set(auto_setup).
% 0.44/1.02      % set(auto_setup) -> set(predicate_elim).
% 0.44/1.02      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/1.02      % set(auto) -> set(auto_limits).
% 0.44/1.02      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/1.02      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/1.02      % set(auto) -> set(auto_denials).
% 0.44/1.02      % set(auto) -> set(auto_process).
% 0.44/1.02      % set(auto2) -> assign(new_constants, 1).
% 0.44/1.02      % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/1.02      % set(auto2) -> assign(max_weight, "200.000").
% 0.44/1.02      % set(auto2) -> assign(max_hours, 1).
% 0.44/1.02      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/1.02      % set(auto2) -> assign(max_seconds, 0).
% 0.44/1.02      % set(auto2) -> assign(max_minutes, 5).
% 0.44/1.02      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/1.02      % set(auto2) -> set(sort_initial_sos).
% 0.44/1.02      % set(auto2) -> assign(sos_limit, -1).
% 0.44/1.02      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/1.02      % set(auto2) -> assign(max_megs, 400).
% 0.44/1.02      % set(auto2) -> assign(stats, some).
% 0.44/1.02      % set(auto2) -> clear(echo_input).
% 0.44/1.02      % set(auto2) -> set(quiet).
% 0.44/1.02      % set(auto2) -> clear(print_initial_clauses).
% 0.44/1.02      % set(auto2) -> clear(print_given).
% 0.44/1.02  assign(lrs_ticks,-1).
% 0.44/1.02  assign(sos_limit,10000).
% 0.44/1.02  assign(order,kbo).
% 0.44/1.02  set(lex_order_vars).
% 0.44/1.02  clear(print_given).
% 0.44/1.02  
% 0.44/1.02  % formulas(sos).  % not echoed (112 formulas)
% 0.44/1.02  
% 0.44/1.02  ============================== end of input ==========================
% 0.44/1.02  
% 0.44/1.02  % From the command line: assign(max_seconds, 300).
% 0.44/1.02  
% 0.44/1.02  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/1.02  
% 0.44/1.02  % Formulas that are not ordinary clauses:
% 0.44/1.02  
% 0.44/1.02  ============================== end of process non-clausal formulas ===
% 0.44/1.02  
% 0.44/1.02  ============================== PROCESS INITIAL CLAUSES ===============
% 0.44/1.02  
% 0.44/1.02  ============================== PREDICATE ELIMINATION =================
% 0.44/1.02  1 -incident_c(A,B) | end_point(A,B) | inner_point(A,B) # label(inner_point_defn_23) # label(axiom).  [assumption].
% 0.44/1.02  2 -inner_point(A,B) | incident_c(A,B) # label(inner_point_defn_21) # label(axiom).  [assumption].
% 0.44/1.02  3 -inner_point(A,B) | -end_point(A,B) # label(inner_point_defn_22) # label(axiom).  [assumption].
% 0.44/1.02  4 inner_point(ax0_sk8(A),A) # label(c3_37) # label(axiom).  [assumption].
% 0.44/1.02  Derived: incident_c(ax0_sk8(A),A).  [resolve(4,a,2,a)].
% 0.44/1.02  Derived: -end_point(ax0_sk8(A),A).  [resolve(4,a,3,a)].
% 0.44/1.02  5 -inner_point(A,B) | meet(A,ax0_sk9(A,B),ax0_sk10(A,B)) # label(c4_38) # label(axiom).  [assumption].
% 0.44/1.02  Derived: meet(A,ax0_sk9(A,B),ax0_sk10(A,B)) | -incident_c(A,B) | end_point(A,B).  [resolve(5,a,1,c)].
% 0.44/1.02  Derived: meet(ax0_sk8(A),ax0_sk9(ax0_sk8(A),A),ax0_sk10(ax0_sk8(A),A)).  [resolve(5,a,4,a)].
% 0.44/1.02  6 -inner_point(A,B) | B = sum(ax0_sk9(A,B),ax0_sk10(A,B)) # label(c4_39) # label(axiom).  [assumption].
% 0.44/1.02  Derived: A = sum(ax0_sk9(B,A),ax0_sk10(B,A)) | -incident_c(B,A) | end_point(B,A).  [resolve(6,a,1,c)].
% 0.44/1.02  Derived: A = sum(ax0_sk9(ax0_sk8(A),A),ax0_sk10(ax0_sk8(A),A)).  [resolve(6,a,4,a)].
% 0.44/1.02  7 -between_c(A,B,C,D) | inner_point(C,ax1_sk1(D,C,B,A)) # label(between_c_defn_5) # label(axiom).  [assumption].
% 0.44/1.02  Derived: -between_c(A,B,C,D) | incident_c(C,ax1_sk1(D,C,B,A)).  [resolve(7,b,2,a)].
% 0.44/1.02  Derived: -between_c(A,B,C,D) | -end_point(C,ax1_sk1(D,C,B,A)).  [resolve(7,b,3,a)].
% 0.44/1.02  Derived: -between_c(A,B,C,D) | meet(C,ax0_sk9(C,ax1_sk1(D,C,B,A)),ax0_sk10(C,ax1_sk1(D,C,B,A))).  [resolve(7,b,5,a)].
% 0.44/1.02  Derived: -between_c(A,B,C,D) | ax1_sk1(D,C,B,A) = sum(ax0_sk9(C,ax1_sk1(D,C,B,A)),ax0_sk10(C,ax1_sk1(D,C,B,A))).  [resolve(7,b,6,a)].
% 0.44/1.02  8 A = B | -part_of(C,D) | -end_point(A,C) | -end_point(B,C) | -inner_point(E,C) | between_c(D,A,E,B) # label(between_c_defn_6) # label(axiom).  [assumption].
% 0.76/1.03  Derived: A = B | -part_of(C,D) | -end_point(A,C) | -end_point(B,C) | between_c(D,A,E,B) | -incident_c(E,C) | end_point(E,C).  [resolve(8,e,1,c)].
% 0.76/1.03  Derived: A = B | -part_of(C,D) | -end_point(A,C) | -end_point(B,C) | between_c(D,A,ax0_sk8(C),B).  [resolve(8,e,4,a)].
% 0.76/1.03  Derived: A = B | -part_of(ax1_sk1(C,D,E,F),V6) | -end_point(A,ax1_sk1(C,D,E,F)) | -end_point(B,ax1_sk1(C,D,E,F)) | between_c(V6,A,D,B) | -between_c(F,E,D,C).  [resolve(8,e,7,b)].
% 0.76/1.03  9 end_point(ax0_sk6(A),A) | closed(A) # label(closed_defn_32) # label(axiom).  [assumption].
% 0.76/1.03  10 -closed(A) | -end_point(B,A) # label(closed_defn_31) # label(axiom).  [assumption].
% 0.76/1.03  Derived: end_point(ax0_sk6(A),A) | -end_point(B,A).  [resolve(9,b,10,a)].
% 0.76/1.03  11 -closed(A) | -meet(B,C,D) | A != sum(C,D) | -end_point(E,C) | meet(E,C,D) # label(c7_43) # label(axiom).  [assumption].
% 0.76/1.03  Derived: -meet(A,B,C) | D != sum(B,C) | -end_point(E,B) | meet(E,B,C) | end_point(ax0_sk6(D),D).  [resolve(11,a,9,b)].
% 0.76/1.03  12 -end_point(A,B) | open(B) # label(open_defn_34) # label(axiom).  [assumption].
% 0.76/1.03  13 -open(A) | end_point(ax0_sk7(A),A) # label(open_defn_33) # label(axiom).  [assumption].
% 0.76/1.03  Derived: -end_point(A,B) | end_point(ax0_sk7(B),B).  [resolve(12,b,13,a)].
% 0.76/1.03  14 -part_of(A,B) | A = B | open(A) # label(c1_35) # label(axiom).  [assumption].
% 0.76/1.03  Derived: -part_of(A,B) | A = B | end_point(ax0_sk7(A),A).  [resolve(14,c,13,a)].
% 0.76/1.03  15 open(ax2_sk3(A)) # label(o2_19) # label(axiom).  [assumption].
% 0.76/1.03  Derived: end_point(ax0_sk7(ax2_sk3(A)),ax2_sk3(A)).  [resolve(15,a,13,a)].
% 0.76/1.03  16 -open(A) | B = C | -incident_c(B,A) | -incident_c(C,A) | -incident_o(D,ax2_sk7(A,C,B)) | incident_c(D,A) # label(o5_30) # label(axiom).  [assumption].
% 0.76/1.03  Derived: A = B | -incident_c(A,C) | -incident_c(B,C) | -incident_o(D,ax2_sk7(C,B,A)) | incident_c(D,C) | -end_point(E,C).  [resolve(16,a,12,b)].
% 0.76/1.03  Derived: A = B | -incident_c(A,C) | -incident_c(B,C) | -incident_o(D,ax2_sk7(C,B,A)) | incident_c(D,C) | -part_of(C,E) | C = E.  [resolve(16,a,14,c)].
% 0.76/1.03  Derived: A = B | -incident_c(A,ax2_sk3(C)) | -incident_c(B,ax2_sk3(C)) | -incident_o(D,ax2_sk7(ax2_sk3(C),B,A)) | incident_c(D,ax2_sk3(C)).  [resolve(16,a,15,a)].
% 0.76/1.03  17 -open(A) | B = C | -incident_c(B,A) | -incident_c(C,A) | -incident_c(D,A) | incident_o(D,ax2_sk7(A,C,B)) # label(o5_31) # label(axiom).  [assumption].
% 0.76/1.03  Derived: A = B | -incident_c(A,C) | -incident_c(B,C) | -incident_c(D,C) | incident_o(D,ax2_sk7(C,B,A)) | -end_point(E,C).  [resolve(17,a,12,b)].
% 0.76/1.03  Derived: A = B | -incident_c(A,C) | -incident_c(B,C) | -incident_c(D,C) | incident_o(D,ax2_sk7(C,B,A)) | -part_of(C,E) | C = E.  [resolve(17,a,14,c)].
% 0.76/1.03  Derived: A = B | -incident_c(A,ax2_sk3(C)) | -incident_c(B,ax2_sk3(C)) | -incident_c(D,ax2_sk3(C)) | incident_o(D,ax2_sk7(ax2_sk3(C),B,A)).  [resolve(17,a,15,a)].
% 0.76/1.03  18 -open(A) | B = C | -incident_c(B,A) | -incident_c(C,A) | ordered_by(ax2_sk7(A,C,B),B,C) # label(o5_32) # label(axiom).  [assumption].
% 0.76/1.03  Derived: A = B | -incident_c(A,C) | -incident_c(B,C) | ordered_by(ax2_sk7(C,B,A),A,B) | -end_point(D,C).  [resolve(18,a,12,b)].
% 0.76/1.03  Derived: A = B | -incident_c(A,C) | -incident_c(B,C) | ordered_by(ax2_sk7(C,B,A),A,B) | -part_of(C,D) | C = D.  [resolve(18,a,14,c)].
% 0.76/1.03  Derived: A = B | -incident_c(A,ax2_sk3(C)) | -incident_c(B,ax2_sk3(C)) | ordered_by(ax2_sk7(ax2_sk3(C),B,A),A,B).  [resolve(18,a,15,a)].
% 0.76/1.03  19 open(sk15) # label(corolary_3_9_77) # label(negated_conjecture).  [assumption].
% 0.76/1.03  Derived: end_point(ax0_sk7(sk15),sk15).  [resolve(19,a,13,a)].
% 0.76/1.03  Derived: A = B | -incident_c(A,sk15) | -incident_c(B,sk15) | -incident_o(C,ax2_sk7(sk15,B,A)) | incident_c(C,sk15).  [resolve(19,a,16,a)].
% 0.76/1.03  Derived: A = B | -incident_c(A,sk15) | -incident_c(B,sk15) | -incident_c(C,sk15) | incident_o(C,ax2_sk7(sk15,B,A)).  [resolve(19,a,17,a)].
% 0.76/1.03  Derived: A = B | -incident_c(A,sk15) | -incident_c(B,sk15) | ordered_by(ax2_sk7(sk15,B,A),A,B).  [resolve(19,a,18,a)].
% 0.76/1.03  20 -ordered_by(A,B,C) | -ordered_by(A,C,D) | between_o(A,B,C,D) # label(between_o_defn_5) # label(axiom).  [assumption].
% 0.76/1.03  21 -between_o(A,B,C,D) | ordered_by(A,B,C) | ordered_by(A,D,C) # label(between_o_defn_1) # label(axiom).  [assumption].
% 0.76/1.03  22 -between_o(A,B,C,D) | ordered_by(A,B,C) | ordered_by(A,C,B) # label(between_o_defn_2) # label(axiom).  [assumption].
% 0.76/1.03  23 -between_o(A,B,C,D) | ordered_by(A,C,D) | ordered_by(A,D,C) # label(between_o_defn_3) # label(axiom).  [assumption].
% 0.76/1.03  24 -between_o(A,B,C,D) | ordered_by(A,C,D) | ordered_by(A,C,B) # label(between_o_defn_4) # label(axiom).  [assumption].
% 0.76/1.03  25 -ordered_by(A,B,C) | -ordered_by(A,C,D) | between_o(A,D,C,B) # label(between_o_defn_6) # label(axiom).  [assumption].
% 0.76/1.03  26 -between_o(A,B,C,D) | -incident_o(E,A) | incident_c(E,ax2_sk4(A,D,C,B)) # label(o3_22) # label(axiom).  [assumption].
% 0.76/1.03  Derived: -incident_o(A,B) | incident_c(A,ax2_sk4(B,C,D,E)) | -ordered_by(B,E,D) | -ordered_by(B,D,C).  [resolve(26,a,20,c)].
% 0.76/1.03  Derived: -incident_o(A,B) | incident_c(A,ax2_sk4(B,C,D,E)) | -ordered_by(B,C,D) | -ordered_by(B,D,E).  [resolve(26,a,25,c)].
% 0.76/1.03  27 -between_o(A,B,C,D) | -incident_c(E,ax2_sk4(A,D,C,B)) | incident_o(E,A) # label(o3_23) # label(axiom).  [assumption].
% 0.76/1.03  Derived: -incident_c(A,ax2_sk4(B,C,D,E)) | incident_o(A,B) | -ordered_by(B,E,D) | -ordered_by(B,D,C).  [resolve(27,a,20,c)].
% 0.76/1.03  Derived: -incident_c(A,ax2_sk4(B,C,D,E)) | incident_o(A,B) | -ordered_by(B,C,D) | -ordered_by(B,D,E).  [resolve(27,a,25,c)].
% 0.76/1.03  28 -between_o(A,B,C,D) | between_c(ax2_sk4(A,D,C,B),B,C,D) # label(o3_24) # label(axiom).  [assumption].
% 0.76/1.03  Derived: between_c(ax2_sk4(A,B,C,D),D,C,B) | -ordered_by(A,D,C) | -ordered_by(A,C,B).  [resolve(28,a,20,c)].
% 0.76/1.03  Derived: between_c(ax2_sk4(A,B,C,D),D,C,B) | -ordered_by(A,B,C) | -ordered_by(A,C,D).  [resolve(28,a,25,c)].
% 0.76/1.03  29 incident_o(ax2_sk5(A,B,C,D,E),B) | incident_c(ax2_sk5(A,B,C,D,E),A) | -between_c(A,E,D,C) | between_o(B,E,D,C) # label(o3_25) # label(axiom).  [assumption].
% 0.76/1.03  Derived: incident_o(ax2_sk5(A,B,C,D,E),B) | incident_c(ax2_sk5(A,B,C,D,E),A) | -between_c(A,E,D,C) | ordered_by(B,E,D) | ordered_by(B,C,D).  [resolve(29,d,21,a)].
% 0.76/1.03  Derived: incident_o(ax2_sk5(A,B,C,D,E),B) | incident_c(ax2_sk5(A,B,C,D,E),A) | -between_c(A,E,D,C) | ordered_by(B,E,D) | ordered_by(B,D,E).  [resolve(29,d,22,a)].
% 0.76/1.03  Derived: incident_o(ax2_sk5(A,B,C,D,E),B) | incident_c(ax2_sk5(A,B,C,D,E),A) | -between_c(A,E,D,C) | ordered_by(B,D,C) | ordered_by(B,C,D).  [resolve(29,d,23,a)].
% 0.76/1.03  Derived: incident_o(ax2_sk5(A,B,C,D,E),B) | incident_c(ax2_sk5(A,B,C,D,E),A) | -between_c(A,E,D,C) | ordered_by(B,D,C) | ordered_by(B,D,E).  [resolve(29,d,24,a)].
% 0.76/1.03  Derived: incident_o(ax2_sk5(A,B,C,D,E),B) | incident_c(ax2_sk5(A,B,C,D,E),A) | -between_c(A,E,D,C) | -incident_o(F,B) | incident_c(F,ax2_sk4(B,C,D,E)).  [resolve(29,d,26,a)].
% 0.76/1.03  Derived: incident_o(ax2_sk5(A,B,C,D,E),B) | incident_c(ax2_sk5(A,B,C,D,E),A) | -between_c(A,E,D,C) | -incident_c(F,ax2_sk4(B,C,D,E)) | incident_o(F,B).  [resolve(29,d,27,a)].
% 0.76/1.03  Derived: incident_o(ax2_sk5(A,B,C,D,E),B) | incident_c(ax2_sk5(A,B,C,D,E),A) | -between_c(A,E,D,C) | between_c(ax2_sk4(B,C,D,E),E,D,C).  [resolve(29,d,28,a)].
% 0.76/1.03  30 incident_o(ax2_sk5(A,B,C,D,E),B) | -incident_o(ax2_sk5(A,B,C,D,E),B) | -between_c(A,E,D,C) | between_o(B,E,D,C) # label(o3_26) # label(axiom).  [assumption].
% 0.76/1.03  31 -incident_c(ax2_sk5(A,B,C,D,E),A) | incident_c(ax2_sk5(A,B,C,D,E),A) | -between_c(A,E,D,C) | between_o(B,E,D,C) # label(o3_27) # label(axiom).  [assumption].
% 0.76/1.03  32 -incident_c(ax2_sk5(A,B,C,D,E),A) | -incident_o(ax2_sk5(A,B,C,D,E),B) | -between_c(A,E,D,C) | between_o(B,E,D,C) # label(o3_28) # label(axiom).  [assumption].
% 0.76/1.03  Derived: -incident_c(ax2_sk5(A,B,C,D,E),A) | -incident_o(ax2_sk5(A,B,C,D,E),B) | -between_c(A,E,D,C) | ordered_by(B,E,D) | ordered_by(B,C,D).  [resolve(32,d,21,a)].
% 0.76/1.03  Derived: -incident_c(ax2_sk5(A,B,C,D,E),A) | -incident_o(ax2_sk5(A,B,C,D,E),B) | -between_c(A,E,D,C) | ordered_by(B,E,D) | ordered_by(B,D,E).  [resolve(32,d,22,a)].
% 0.76/1.03  Derived: -incident_c(ax2_sk5(A,B,C,D,E),A) | -incident_o(ax2_sk5(A,B,C,D,E),B) | -between_c(A,E,D,C) | ordered_by(B,D,C) | ordered_by(B,C,D).  [resolve(32,d,23,a)].
% 0.76/1.03  Derived: -incident_c(ax2_sk5(A,B,C,D,E),A) | -incident_o(ax2_sk5(A,B,C,D,E),B) | -between_c(A,E,D,C) | ordered_by(B,D,C) | ordered_by(B,D,E).  [resolve(32,d,24,a)].
% 0.76/1.03  Derived: -incident_c(ax2_sk5(A,B,C,D,E),A) | -incident_o(ax2_sk5(A,B,C,D,E),B) | -between_c(A,E,D,C) | -incident_o(F,B) | incident_c(F,ax2_sk4(B,C,D,E)).  [resolve(32,d,26,a)].
% 1.89/2.17  Derived: -incident_c(ax2_sk5(A,B,C,D,E),A) | -incident_o(ax2_sk5(A,B,C,D,E),B) | -between_c(A,E,D,C) | -incident_c(F,ax2_sk4(B,C,D,E)) | incident_o(F,B).  [resolve(32,d,27,a)].
% 1.89/2.17  Derived: -incident_c(ax2_sk5(A,B,C,D,E),A) | -incident_o(ax2_sk5(A,B,C,D,E),B) | -between_c(A,E,D,C) | between_c(ax2_sk4(B,C,D,E),E,D,C).  [resolve(32,d,28,a)].
% 1.89/2.17  33 -incident_o(A,B) | A != ax2_sk1(B,A) | start_point(A,B) # label(start_point_defn_9) # label(axiom).  [assumption].
% 1.89/2.17  34 -start_point(A,B) | incident_o(A,B) # label(start_point_defn_7) # label(axiom).  [assumption].
% 1.89/2.17  35 -start_point(A,B) | A = C | -incident_o(C,B) | ordered_by(B,A,C) # label(start_point_defn_8) # label(axiom).  [assumption].
% 1.89/2.17  Derived: -incident_o(A,B) | A != ax2_sk1(B,A) | A = C | -incident_o(C,B) | ordered_by(B,A,C).  [resolve(33,c,35,a)].
% 1.89/2.17  36 -incident_o(A,B) | incident_o(ax2_sk1(B,A),B) | start_point(A,B) # label(start_point_defn_10) # label(axiom).  [assumption].
% 1.89/2.17  Derived: -incident_o(A,B) | incident_o(ax2_sk1(B,A),B) | A = C | -incident_o(C,B) | ordered_by(B,A,C).  [resolve(36,c,35,a)].
% 1.89/2.17  37 -incident_o(A,B) | -ordered_by(B,A,ax2_sk1(B,A)) | start_point(A,B) # label(start_point_defn_11) # label(axiom).  [assumption].
% 1.89/2.17  Derived: -incident_o(A,B) | -ordered_by(B,A,ax2_sk1(B,A)) | A = C | -incident_o(C,B) | ordered_by(B,A,C).  [resolve(37,c,35,a)].
% 1.89/2.17  38 start_point(ax2_sk6(A),A) # label(o4_29) # label(axiom).  [assumption].
% 1.89/2.17  Derived: incident_o(ax2_sk6(A),A).  [resolve(38,a,34,a)].
% 1.89/2.17  Derived: ax2_sk6(A) = B | -incident_o(B,A) | ordered_by(A,ax2_sk6(A),B).  [resolve(38,a,35,a)].
% 1.89/2.17  39 -incident_o(A,B) | A != ax2_sk2(B,A) | finish_point(A,B) # label(finish_point_defn_14) # label(axiom).  [assumption].
% 1.89/2.17  40 -finish_point(A,B) | incident_o(A,B) # label(finish_point_defn_12) # label(axiom).  [assumption].
% 1.89/2.17  41 -finish_point(A,B) | A = C | -incident_o(C,B) | ordered_by(B,C,A) # label(finish_point_defn_13) # label(axiom).  [assumption].
% 1.89/2.17  Derived: -incident_o(A,B) | A != ax2_sk2(B,A) | A = C | -incident_o(C,B) | ordered_by(B,C,A).  [resolve(39,c,41,a)].
% 1.89/2.17  42 -incident_o(A,B) | incident_o(ax2_sk2(B,A),B) | finish_point(A,B) # label(finish_point_defn_15) # label(axiom).  [assumption].
% 1.89/2.17  Derived: -incident_o(A,B) | incident_o(ax2_sk2(B,A),B) | A = C | -incident_o(C,B) | ordered_by(B,C,A).  [resolve(42,c,41,a)].
% 1.89/2.17  43 -incident_o(A,B) | -ordered_by(B,ax2_sk2(B,A),A) | finish_point(A,B) # label(finish_point_defn_16) # label(axiom).  [assumption].
% 1.89/2.17  Derived: -incident_o(A,B) | -ordered_by(B,ax2_sk2(B,A),A) | A = C | -incident_o(C,B) | ordered_by(B,C,A).  [resolve(43,c,41,a)].
% 1.89/2.17  
% 1.89/2.17  ============================== end predicate elimination =============
% 1.89/2.17  
% 1.89/2.17  Auto_denials:  (non-Horn, no changes).
% 1.89/2.17  
% 1.89/2.17  Term ordering decisions:
% 1.89/2.17  Function symbol KB weights:  sk16=1. sk17=1. sk18=1. sk15=1. sum=1. ax0_sk13=1. ax2_sk10=1. ax2_sk8=1. ax2_sk9=1. ax0_sk10=1. ax0_sk9=1. ax0_sk3=1. ax0_sk4=1. ax2_sk1=1. ax2_sk2=1. ax0_sk1=1. ax0_sk11=1. ax0_sk12=1. ax2_sk3=1. ax0_sk8=1. underlying_curve=1. ax0_sk7=1. ax2_sk6=1. ax0_sk6=1. ax0_sk2=1. ax2_sk7=1. ax0_sk5=1. ax1_sk1=1. ax2_sk4=1. ax2_sk5=1.
% 1.89/2.17  
% 1.89/2.17  ============================== end of process initial clauses ========
% 1.89/2.17  
% 1.89/2.17  ============================== CLAUSES FOR SEARCH ====================
% 1.89/2.17  
% 1.89/2.17  ============================== end of clauses for search =============
% 1.89/2.17  
% 1.89/2.17  ============================== SEARCH ================================
% 1.89/2.17  
% 1.89/2.17  % Starting search at 0.04 seconds.
% 1.89/2.17  
% 1.89/2.17  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 21 (0.00 of 0.42 sec).
% 1.89/2.17  
% 1.89/2.17  Low Water (keep): wt=68.000, iters=3353
% 1.89/2.17  
% 1.89/2.17  Low Water (keep): wt=66.000, iters=3340
% 1.89/2.17  
% 1.89/2.17  Low Water (keep): wt=38.000, iters=3333
% 1.89/2.17  
% 1.89/2.17  Low Water (keep): wt=37.000, iters=3333
% 1.89/2.17  
% 1.89/2.17  Low Water (keep): wt=36.000, iters=3343
% 1.89/2.17  
% 1.89/2.17  Low Water (keep): wt=35.000, iters=3343
% 1.89/2.17  
% 1.89/2.17  Low Water (keep): wt=34.000, iters=3341
% 1.89/2.17  
% 1.89/2.17  Low Water (keep): wt=33.000, iters=3373
% 1.89/2.17  
% 1.89/2.17  Low Water (keep): wt=26.000, iters=4353
% 1.89/2.17  
% 1.89/2.17  Low Water (keep): wt=24.000, iters=3753
% 1.89/2.17  
% 1.89/2.17  Low Water (keep): wt=23.000, iters=3360
% 1.89/2.17  
% 1.89/2.17  Low Water (keep): wt=22.000, iters=3853
% 1.89/2.17  
% 1.89/2.17  Low Water (keep): wt=21.000, iters=3444
% 1.89/2.17  
% 1.89/2.17  Low Water (keep): wt=20.000, iters=3353
% 1.89/2.17  
% 1.89/2.17  Low Water (dispCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------