TSTP Solution File: GEO354+1 by Mace4---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Mace4---1109a
% Problem  : GEO354+1 : TPTP v6.4.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : mace4 -t %d -f %s

% Computer : n072.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.75MB
% OS       : Linux 3.10.0-327.36.3.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb  8 09:53:54 EST 2017

% Result   : Satisfiable 0.07s
% Output   : FiniteModel 0.07s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : GEO354+1 : TPTP v6.4.0. Released v6.4.0.
% 0.00/0.04  % Command  : mace4 -t %d -f %s
% 0.02/0.24  % Computer : n072.star.cs.uiowa.edu
% 0.02/0.24  % Model    : x86_64 x86_64
% 0.02/0.24  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.24  % Memory   : 32218.75MB
% 0.02/0.24  % OS       : Linux 3.10.0-327.36.3.el7.x86_64
% 0.02/0.24  % CPULimit : 300
% 0.02/0.24  % DateTime : Tue Feb  7 18:24:46 CST 2017
% 0.02/0.24  % CPUTime  : 
% 0.07/0.48  % SZS status Satisfiable
% 0.07/0.48  ============================== Mace4 =================================
% 0.07/0.48  Mace4 (32) version 2009-11A, November 2009.
% 0.07/0.48  Process 63589 was started by sandbox2 on n072.star.cs.uiowa.edu,
% 0.07/0.48  Tue Feb  7 18:24:46 2017
% 0.07/0.48  The command was "/export/starexec/sandbox2/solver/bin/mace4 -t 300 -f /tmp/Mace4_input_63556_n072.star.cs.uiowa.edu".
% 0.07/0.48  ============================== end of head ===========================
% 0.07/0.48  
% 0.07/0.48  ============================== INPUT =================================
% 0.07/0.48  
% 0.07/0.48  % Reading from file /tmp/Mace4_input_63556_n072.star.cs.uiowa.edu
% 0.07/0.48  
% 0.07/0.48  set(prolog_style_variables).
% 0.07/0.48  set(print_models_tabular).
% 0.07/0.48      % set(print_models_tabular) -> clear(print_models).
% 0.07/0.48  
% 0.07/0.48  formulas(sos).
% 0.07/0.48  (all A all L (apart_point_and_line(A,L) <-> left_apart_point(A,L) | left_apart_point(A,reverse_line(L)))) # label(apt_def) # label(axiom).
% 0.07/0.48  (all L all M (convergent_lines(L,M) <-> unequally_directed_lines(L,M) & unequally_directed_lines(L,reverse_line(M)))) # label(con_def) # label(axiom).
% 0.07/0.48  (all A all B all L (divides_points(L,A,B) <-> left_apart_point(A,L) & left_apart_point(B,reverse_line(L)) | left_apart_point(A,reverse_line(L)) & left_apart_point(B,L))) # label(div_def) # label(axiom).
% 0.07/0.48  (all L all A all B (before_on_line(L,A,B) <-> distinct_points(A,B) & -(left_apart_point(A,L) | left_apart_point(A,reverse_line(L))) & -(left_apart_point(B,L) | left_apart_point(B,reverse_line(L))) & -unequally_directed_lines(L,line_connecting(A,B)))) # label(bf_def) # label(axiom).
% 0.07/0.48  (all L all A all B all C (between_on_line(L,A,B,C) <-> before_on_line(L,A,B) & before_on_line(L,B,C) | before_on_line(L,C,B) & before_on_line(L,B,A))) # label(bet_def) # label(axiom).
% 0.07/0.48  (all A -distinct_points(A,A)) # label(oag1) # label(axiom).
% 0.07/0.48  (all A all B all C (distinct_points(A,B) -> distinct_points(A,C) | distinct_points(B,C))) # label(oag2) # label(axiom).
% 0.07/0.48  (all L -distinct_lines(L,L)) # label(oag3) # label(axiom).
% 0.07/0.48  (all L all M all N (distinct_lines(L,M) -> distinct_lines(L,N) | distinct_lines(M,N))) # label(oag4) # label(axiom).
% 0.07/0.48  (all L -unequally_directed_lines(L,L)) # label(oag5) # label(axiom).
% 0.07/0.48  (all L all M all N (unequally_directed_lines(L,M) -> unequally_directed_lines(L,N) | unequally_directed_lines(M,N))) # label(oag6) # label(axiom).
% 0.07/0.48  (all L all M all N (unequally_directed_lines(L,M) & unequally_directed_lines(L,reverse_line(M)) -> unequally_directed_lines(L,N) & unequally_directed_lines(L,reverse_line(N)) | unequally_directed_lines(M,N) & unequally_directed_lines(M,reverse_line(N)))) # label(oag7) # label(axiom).
% 0.07/0.48  (all L all M (line(L) & line(M) -> unequally_directed_lines(L,M) | unequally_directed_lines(L,reverse_line(M)))) # label(oag8) # label(axiom).
% 0.07/0.48  (all L all M (unequally_directed_lines(L,M) & unequally_directed_lines(L,reverse_line(M)) -> left_convergent_lines(L,M) | left_convergent_lines(L,reverse_line(M)))) # label(oag9) # label(axiom).
% 0.07/0.48  (all A all L -(left_apart_point(A,L) | left_apart_point(A,reverse_line(L)))) # label(oag10) # label(axiom).
% 0.07/0.48  (all L all M -(left_convergent_lines(L,M) | left_convergent_lines(L,reverse_line(M)))) # label(oag11) # label(axiom).
% 0.07/0.48  (all A all B (point(A) & point(B) & distinct_points(A,B) -> line(line_connecting(A,B)))) # label(oagco1) # label(axiom).
% 0.07/0.48  (all L all M (line(L) & line(M) & unequally_directed_lines(L,M) & unequally_directed_lines(L,reverse_line(M)) -> point(intersection_point(L,M)))) # label(oagco2) # label(axiom).
% 0.07/0.48  (all L all A (point(A) & line(L) -> line(parallel_through_point(L,A)))) # label(oagco3) # label(axiom).
% 0.07/0.48  (all L (line(L) -> line(reverse_line(L)))) # label(oagco4) # label(axiom).
% 0.07/0.48  (all A all B (distinct_points(A,B) -> -apart_point_and_line(A,line_connecting(A,B)) & -apart_point_and_line(B,line_connecting(A,B)))) # label(oagco5) # label(axiom).
% 0.07/0.48  (all L all M (unequally_directed_lines(L,M) & unequally_directed_lines(L,reverse_line(M)) -> -apart_point_and_line(intersection_point(L,M),L) & -apart_point_and_line(intersection_point(L,M),M))) # label(oagco6) # label(axiom).
% 0.07/0.48  (all A all L -apart_point_and_line(A,parallel_through_point(L,A))) # label(oagco7) # label(axiom).
% 0.07/0.48  (all L -distinct_lines(L,reverse_line(L))) # label(oagco8) # label(axiom).
% 0.07/0.48  (all A all B -unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A)))) # label(oagco9) # label(axiom).
% 0.07/0.48  (all A all L -unequally_directed_lines(parallel_through_point(L,A),L)) # label(oagco10) # label(axiom).
% 0.07/0.48  (all A all B all L all M (distinct_points(A,B) & distinct_lines(L,M) -> left_apart_point(A,L) | left_apart_point(B,L) | left_apart_point(A,M) | left_apart_point(B,M) | left_apart_point(A,reverse_line(L)) | left_apart_point(B,reverse_line(L)) | left_apart_point(A,reverse_line(M)) | left_apart_point(B,reverse_line(M)))) # label(oaguc1) # label(axiom).
% 0.07/0.48  (all A all B all L (distinct_points(A,B) & left_apart_point(A,L) -> left_apart_point(B,L) | left_convergent_lines(line_connecting(A,B),L))) # label(oaguc2) # label(axiom).
% 0.07/0.48  (all A all B all L (left_apart_point(A,L) -> distinct_points(A,B) | left_apart_point(B,L))) # label(oagsub1) # label(axiom).
% 0.07/0.48  (all A all L all M (left_apart_point(A,L) & unequally_directed_lines(L,M) -> distinct_lines(L,M) | left_apart_point(A,reverse_line(M)))) # label(oagsub2) # label(axiom).
% 0.07/0.48  (all L all M all N (left_convergent_lines(L,M) -> unequally_directed_lines(M,N) | left_convergent_lines(L,N))) # label(oagsub3) # label(axiom).
% 0.07/0.48  (all L -unequally_directed_lines(L,L)) # label(cld1) # label(axiom).
% 0.07/0.48  (all L all M all N (-unequally_directed_lines(L,M) & -unequally_directed_lines(L,N) -> -unequally_directed_lines(M,N))) # label(cld2) # label(axiom).
% 0.07/0.48  (all A all B all L all M (-(unequally_directed_lines(L,M) & unequally_directed_lines(L,reverse_line(M))) <-> -unequally_directed_lines(L,M) | -unequally_directed_lines(L,reverse_line(M)))) # label(cld3) # label(axiom).
% 0.07/0.48  (all L all M all N ((-unequally_directed_lines(L,M) | -unequally_directed_lines(L,reverse_line(M))) & (-unequally_directed_lines(L,N) | -unequally_directed_lines(L,reverse_line(N))) -> -unequally_directed_lines(M,N) | -unequally_directed_lines(M,reverse_line(N)))) # label(cld3a) # label(axiom).
% 0.07/0.48  (all L all M (line(L) & line(M) -> -(-unequally_directed_lines(L,M) & -unequally_directed_lines(L,reverse_line(M))))) # label(cld4) # label(axiom).
% 0.07/0.48  (all L all M all N (-unequally_directed_lines(L,reverse_line(M)) & (-unequally_directed_lines(L,reverse_line(N)) -> -unequally_directed_lines(M,N)))) # label(cld5) # label(axiom).
% 0.07/0.48  end_of_list.
% 0.07/0.48  
% 0.07/0.48  % From the command line: assign(max_seconds, 300).
% 0.07/0.48  
% 0.07/0.48  ============================== end of input ==========================
% 0.07/0.48  
% 0.07/0.48  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.07/0.48  
% 0.07/0.48  % Formulas that are not ordinary clauses:
% 0.07/0.48  1 (all A all L (apart_point_and_line(A,L) <-> left_apart_point(A,L) | left_apart_point(A,reverse_line(L)))) # label(apt_def) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  2 (all L all M (convergent_lines(L,M) <-> unequally_directed_lines(L,M) & unequally_directed_lines(L,reverse_line(M)))) # label(con_def) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  3 (all A all B all L (divides_points(L,A,B) <-> left_apart_point(A,L) & left_apart_point(B,reverse_line(L)) | left_apart_point(A,reverse_line(L)) & left_apart_point(B,L))) # label(div_def) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  4 (all L all A all B (before_on_line(L,A,B) <-> distinct_points(A,B) & -(left_apart_point(A,L) | left_apart_point(A,reverse_line(L))) & -(left_apart_point(B,L) | left_apart_point(B,reverse_line(L))) & -unequally_directed_lines(L,line_connecting(A,B)))) # label(bf_def) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  5 (all L all A all B all C (between_on_line(L,A,B,C) <-> before_on_line(L,A,B) & before_on_line(L,B,C) | before_on_line(L,C,B) & before_on_line(L,B,A))) # label(bet_def) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  6 (all A -distinct_points(A,A)) # label(oag1) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  7 (all A all B all C (distinct_points(A,B) -> distinct_points(A,C) | distinct_points(B,C))) # label(oag2) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  8 (all L -distinct_lines(L,L)) # label(oag3) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  9 (all L all M all N (distinct_lines(L,M) -> distinct_lines(L,N) | distinct_lines(M,N))) # label(oag4) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  10 (all L -unequally_directed_lines(L,L)) # label(oag5) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  11 (all L all M all N (unequally_directed_lines(L,M) -> unequally_directed_lines(L,N) | unequally_directed_lines(M,N))) # label(oag6) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  12 (all L all M all N (unequally_directed_lines(L,M) & unequally_directed_lines(L,reverse_line(M)) -> unequally_directed_lines(L,N) & unequally_directed_lines(L,reverse_line(N)) | unequally_directed_lines(M,N) & unequally_directed_lines(M,reverse_line(N)))) # label(oag7) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  13 (all L all M (line(L) & line(M) -> unequally_directed_lines(L,M) | unequally_directed_lines(L,reverse_line(M)))) # label(oag8) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  14 (all L all M (unequally_directed_lines(L,M) & unequally_directed_lines(L,reverse_line(M)) -> left_convergent_lines(L,M) | left_convergent_lines(L,reverse_line(M)))) # label(oag9) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  15 (all A all L -(left_apart_point(A,L) | left_apart_point(A,reverse_line(L)))) # label(oag10) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  16 (all L all M -(left_convergent_lines(L,M) | left_convergent_lines(L,reverse_line(M)))) # label(oag11) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  17 (all A all B (point(A) & point(B) & distinct_points(A,B) -> line(line_connecting(A,B)))) # label(oagco1) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  18 (all L all M (line(L) & line(M) & unequally_directed_lines(L,M) & unequally_directed_lines(L,reverse_line(M)) -> point(intersection_point(L,M)))) # label(oagco2) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  19 (all L all A (point(A) & line(L) -> line(parallel_through_point(L,A)))) # label(oagco3) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  20 (all L (line(L) -> line(reverse_line(L)))) # label(oagco4) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  21 (all A all B (distinct_points(A,B) -> -apart_point_and_line(A,line_connecting(A,B)) & -apart_point_and_line(B,line_connecting(A,B)))) # label(oagco5) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  22 (all L all M (unequally_directed_lines(L,M) & unequally_directed_lines(L,reverse_line(M)) -> -apart_point_and_line(intersection_point(L,M),L) & -apart_point_and_line(intersection_point(L,M),M))) # label(oagco6) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  23 (all A all L -apart_point_and_line(A,parallel_through_point(L,A))) # label(oagco7) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  24 (all L -distinct_lines(L,reverse_line(L))) # label(oagco8) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  25 (all A all B -unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A)))) # label(oagco9) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  26 (all A all L -unequally_directed_lines(parallel_through_point(L,A),L)) # label(oagco10) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  27 (all A all B all L all M (distinct_points(A,B) & distinct_lines(L,M) -> left_apart_point(A,L) | left_apart_point(B,L) | left_apart_point(A,M) | left_apart_point(B,M) | left_apart_point(A,reverse_line(L)) | left_apart_point(B,reverse_line(L)) | left_apart_point(A,reverse_line(M)) | left_apart_point(B,reverse_line(M)))) # label(oaguc1) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  28 (all A all B all L (distinct_points(A,B) & left_apart_point(A,L) -> left_apart_point(B,L) | left_convergent_lines(line_connecting(A,B),L))) # label(oaguc2) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  29 (all A all B all L (left_apart_point(A,L) -> distinct_points(A,B) | left_apart_point(B,L))) # label(oagsub1) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  30 (all A all L all M (left_apart_point(A,L) & unequally_directed_lines(L,M) -> distinct_lines(L,M) | left_apart_point(A,reverse_line(M)))) # label(oagsub2) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  31 (all L all M all N (left_convergent_lines(L,M) -> unequally_directed_lines(M,N) | left_convergent_lines(L,N))) # label(oagsub3) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  32 (all L -unequally_directed_lines(L,L)) # label(cld1) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  33 (all L all M all N (-unequally_directed_lines(L,M) & -unequally_directed_lines(L,N) -> -unequally_directed_lines(M,N))) # label(cld2) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  34 (all A all B all L all M (-(unequally_directed_lines(L,M) & unequally_directed_lines(L,reverse_line(M))) <-> -unequally_directed_lines(L,M) | -unequally_directed_lines(L,reverse_line(M)))) # label(cld3) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  35 (all L all M all N ((-unequally_directed_lines(L,M) | -unequally_directed_lines(L,reverse_line(M))) & (-unequally_directed_lines(L,N) | -unequally_directed_lines(L,reverse_line(N))) -> -unequally_directed_lines(M,N) | -unequally_directed_lines(M,reverse_line(N)))) # label(cld3a) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  36 (all L all M (line(L) & line(M) -> -(-unequally_directed_lines(L,M) & -unequally_directed_lines(L,reverse_line(M))))) # label(cld4) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  37 (all L all M all N (-unequally_directed_lines(L,reverse_line(M)) & (-unequally_directed_lines(L,reverse_line(N)) -> -unequally_directed_lines(M,N)))) # label(cld5) # label(axiom) # label(non_clause).  [assumption].
% 0.07/0.48  
% 0.07/0.48  ============================== end of process non-clausal formulas ===
% 0.07/0.48  
% 0.07/0.48  ============================== CLAUSES FOR SEARCH ====================
% 0.07/0.48  
% 0.07/0.48  formulas(mace4_clauses).
% 0.07/0.48  -apart_point_and_line(A,B) | left_apart_point(A,B) | left_apart_point(A,reverse_line(B)) # label(apt_def) # label(axiom).
% 0.07/0.48  apart_point_and_line(A,B) | -left_apart_point(A,B) # label(apt_def) # label(axiom).
% 0.07/0.48  apart_point_and_line(A,B) | -left_apart_point(A,reverse_line(B)) # label(apt_def) # label(axiom).
% 0.07/0.48  -convergent_lines(A,B) | unequally_directed_lines(A,B) # label(con_def) # label(axiom).
% 0.07/0.48  -convergent_lines(A,B) | unequally_directed_lines(A,reverse_line(B)) # label(con_def) # label(axiom).
% 0.07/0.48  convergent_lines(A,B) | -unequally_directed_lines(A,B) | -unequally_directed_lines(A,reverse_line(B)) # label(con_def) # label(axiom).
% 0.07/0.48  -divides_points(A,B,C) | left_apart_point(B,A) | left_apart_point(B,reverse_line(A)) # label(div_def) # label(axiom).
% 0.07/0.48  -divides_points(A,B,C) | left_apart_point(B,A) | left_apart_point(C,A) # label(div_def) # label(axiom).
% 0.07/0.48  -divides_points(A,B,C) | left_apart_point(C,reverse_line(A)) | left_apart_point(B,reverse_line(A)) # label(div_def) # label(axiom).
% 0.07/0.48  -divides_points(A,B,C) | left_apart_point(C,reverse_line(A)) | left_apart_point(C,A) # label(div_def) # label(axiom).
% 0.07/0.48  divides_points(A,B,C) | -left_apart_point(B,A) | -left_apart_point(C,reverse_line(A)) # label(div_def) # label(axiom).
% 0.07/0.48  divides_points(A,B,C) | -left_apart_point(B,reverse_line(A)) | -left_apart_point(C,A) # label(div_def) # label(axiom).
% 0.07/0.48  -before_on_line(A,B,C) | distinct_points(B,C) # label(bf_def) # label(axiom).
% 0.07/0.48  -before_on_line(A,B,C) | -left_apart_point(B,A) # label(bf_def) # label(axiom).
% 0.07/0.48  -before_on_line(A,B,C) | -left_apart_point(B,reverse_line(A)) # label(bf_def) # label(axiom).
% 0.07/0.48  -before_on_line(A,B,C) | -left_apart_point(C,A) # label(bf_def) # label(axiom).
% 0.07/0.48  -before_on_line(A,B,C) | -left_apart_point(C,reverse_line(A)) # label(bf_def) # label(axiom).
% 0.07/0.48  -before_on_line(A,B,C) | -unequally_directed_lines(A,line_connecting(B,C)) # label(bf_def) # label(axiom).
% 0.07/0.48  before_on_line(A,B,C) | -distinct_points(B,C) | left_apart_point(B,A) | left_apart_point(B,reverse_line(A)) | left_apart_point(C,A) | left_apart_point(C,reverse_line(A)) | unequally_directed_lines(A,line_connecting(B,C)) # label(bf_def) # label(axiom).
% 0.07/0.48  -between_on_line(A,B,C,D) | before_on_line(A,B,C) | before_on_line(A,D,C) # label(bet_def) # label(axiom).
% 0.07/0.48  -between_on_line(A,B,C,D) | before_on_line(A,B,C) | before_on_line(A,C,B) # label(bet_def) # label(axiom).
% 0.07/0.48  -between_on_line(A,B,C,D) | before_on_line(A,C,D) | before_on_line(A,D,C) # label(bet_def) # label(axiom).
% 0.07/0.48  -between_on_line(A,B,C,D) | before_on_line(A,C,D) | before_on_line(A,C,B) # label(bet_def) # label(axiom).
% 0.07/0.48  between_on_line(A,B,C,D) | -before_on_line(A,B,C) | -before_on_line(A,C,D) # label(bet_def) # label(axiom).
% 0.07/0.48  between_on_line(A,B,C,D) | -before_on_line(A,D,C) | -before_on_line(A,C,B) # label(bet_def) # label(axiom).
% 0.07/0.48  -distinct_points(A,A) # label(oag1) # label(axiom).
% 0.07/0.48  -distinct_points(A,B) | distinct_points(A,C) | distinct_points(B,C) # label(oag2) # label(axiom).
% 0.07/0.48  -distinct_lines(A,A) # label(oag3) # label(axiom).
% 0.07/0.48  -distinct_lines(A,B) | distinct_lines(A,C) | distinct_lines(B,C) # label(oag4) # label(axiom).
% 0.07/0.48  -unequally_directed_lines(A,A) # label(oag5) # label(axiom).
% 0.07/0.48  -unequally_directed_lines(A,B) | unequally_directed_lines(A,C) | unequally_directed_lines(B,C) # label(oag6) # label(axiom).
% 0.07/0.48  -unequally_directed_lines(A,B) | -unequally_directed_lines(A,reverse_line(B)) | unequally_directed_lines(A,C) | unequally_directed_lines(B,C) # label(oag7) # label(axiom).
% 0.07/0.48  -unequally_directed_lines(A,B) | -unequally_directed_lines(A,reverse_line(B)) | unequally_directed_lines(A,C) | unequally_directed_lines(B,reverse_line(C)) # label(oag7) # label(axiom).
% 0.07/0.48  -unequally_directed_lines(A,B) | -unequally_directed_lines(A,reverse_line(B)) | unequally_directed_lines(A,reverse_line(C)) | unequally_directed_lines(B,C) # label(oag7) # label(axiom).
% 0.07/0.48  -unequally_directed_lines(A,B) | -unequally_directed_lines(A,reverse_line(B)) | unequally_directed_lines(A,reverse_line(C)) | unequally_directed_lines(B,reverse_line(C)) # label(oag7) # label(axiom).
% 0.07/0.48  -line(A) | -line(B) | unequally_directed_lines(A,B) | unequally_directed_lines(A,reverse_line(B)) # label(oag8) # label(axiom).
% 0.07/0.48  -unequally_directed_lines(A,B) | -unequally_directed_lines(A,reverse_line(B)) | left_convergent_lines(A,B) | left_convergent_lines(A,reverse_line(B)) # label(oag9) # label(axiom).
% 0.07/0.48  -left_apart_point(A,B) # label(oag10) # label(axiom).
% 0.07/0.48  -left_apart_point(A,reverse_line(B)) # label(oag10) # label(axiom).
% 0.07/0.48  -left_convergent_lines(A,B) # label(oag11) # label(axiom).
% 0.07/0.48  -left_convergent_lines(A,reverse_line(B)) # label(oag11) # label(axiom).
% 0.07/0.48  -point(A) | -point(B) | -distinct_points(A,B) | line(line_connecting(A,B)) # label(oagco1) # label(axiom).
% 0.07/0.48  -line(A) | -line(B) | -unequally_directed_lines(A,B) | -unequally_directed_lines(A,reverse_line(B)) | point(intersection_point(A,B)) # label(oagco2) # label(axiom).
% 0.07/0.48  -point(A) | -line(B) | line(parallel_through_point(B,A)) # label(oagco3) # label(axiom).
% 0.07/0.48  -line(A) | line(reverse_line(A)) # label(oagco4) # label(axiom).
% 0.07/0.48  -distinct_points(A,B) | -apart_point_and_line(A,line_connecting(A,B)) # label(oagco5) # label(axiom).
% 0.07/0.48  -distinct_points(A,B) | -apart_point_and_line(B,line_connecting(A,B)) # label(oagco5) # label(axiom).
% 0.07/0.48  -unequally_directed_lines(A,B) | -unequally_directed_lines(A,reverse_line(B)) | -apart_point_and_line(intersection_point(A,B),A) # label(oagco6) # label(axiom).
% 0.07/0.48  -unequally_directed_lines(A,B) | -unequally_directed_lines(A,reverse_line(B)) | -apart_point_and_line(intersection_point(A,B),B) # label(oagco6) # label(axiom).
% 0.07/0.48  -apart_point_and_line(A,parallel_through_point(B,A)) # label(oagco7) # label(axiom).
% 0.07/0.48  -distinct_lines(A,reverse_line(A)) # label(oagco8) # label(axiom).
% 0.07/0.48  -unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))) # label(oagco9) # label(axiom).
% 0.07/0.48  -unequally_directed_lines(parallel_through_point(A,B),A) # label(oagco10) # label(axiom).
% 0.07/0.48  -distinct_points(A,B) | -distinct_lines(C,D) | left_apart_point(A,C) | left_apart_point(B,C) | left_apart_point(A,D) | left_apart_point(B,D) | left_apart_point(A,reverse_line(C)) | left_apart_point(B,reverse_line(C)) | left_apart_point(A,reverse_line(D)) | left_apart_point(B,reverse_line(D)) # label(oaguc1) # label(axiom).
% 0.07/0.48  -distinct_points(A,B) | -left_apart_point(A,C) | left_apart_point(B,C) | left_convergent_lines(line_connecting(A,B),C) # label(oaguc2) # label(axiom).
% 0.07/0.48  -left_apart_point(A,B) | distinct_points(A,C) | left_apart_point(C,B) # label(oagsub1) # label(axiom).
% 0.07/0.48  -left_apart_point(A,B) | -unequally_directed_lines(B,C) | distinct_lines(B,C) | left_apart_point(A,reverse_line(C)) # label(oagsub2) # label(axiom).
% 0.07/0.48  -left_convergent_lines(A,B) | unequally_directed_lines(B,C) | left_convergent_lines(A,C) # label(oagsub3) # label(axiom).
% 0.07/0.48  -unequally_directed_lines(A,A) # label(cld1) # label(axiom).
% 0.07/0.48  unequally_directed_lines(A,B) | unequally_directed_lines(A,C) | -unequally_directed_lines(B,C) # label(cld2) # label(axiom).
% 0.07/0.48  unequally_directed_lines(A,B) | unequally_directed_lines(A,C) | -unequally_directed_lines(B,C) | -unequally_directed_lines(B,reverse_line(C)) # label(cld3a) # label(axiom).
% 0.07/0.48  unequally_directed_lines(A,B) | unequally_directed_lines(A,reverse_line(C)) | -unequally_directed_lines(B,C) | -unequally_directed_lines(B,reverse_line(C)) # label(cld3a) # label(axiom).
% 0.07/0.48  unequally_directed_lines(A,reverse_line(B)) | unequally_directed_lines(A,C) | -unequally_directed_lines(B,C) | -unequally_directed_lines(B,reverse_line(C)) # label(cld3a) # label(axiom).
% 0.07/0.48  unequally_directed_lines(A,reverse_line(B)) | unequally_directed_lines(A,reverse_line(C)) | -unequally_directed_lines(B,C) | -unequally_directed_lines(B,reverse_line(C)) # label(cld3a) # label(axiom).
% 0.07/0.48  -line(A) | -line(B) | unequally_directed_lines(A,B) | unequally_directed_lines(A,reverse_line(B)) # label(cld4) # label(axiom).
% 0.07/0.48  -unequally_directed_lines(A,reverse_line(B)) # label(cld5) # label(axiom).
% 0.07/0.48  unequally_directed_lines(A,reverse_line(B)) | -unequally_directed_lines(C,B) # label(cld5) # label(axiom).
% 0.07/0.48  end_of_list.
% 0.07/0.48  
% 0.07/0.48  ============================== end of clauses for search =============
% 0.07/0.48  % SZS output start FiniteModel
% 0.07/0.48  
% 0.07/0.48  % There are no natural numbers in the input.
% 0.07/0.48  
% 0.07/0.48   reverse_line :
% 0.07/0.48          0 1
% 0.07/0.48      -------
% 0.07/0.48          0 0
% 0.07/0.48  
% 0.07/0.48   intersection_point :
% 0.07/0.48        | 0 1
% 0.07/0.48      --+----
% 0.07/0.48      0 | 0 0
% 0.07/0.48      1 | 0 0
% 0.07/0.48  
% 0.07/0.48   line_connecting :
% 0.07/0.48        | 0 1
% 0.07/0.48      --+----
% 0.07/0.48      0 | 0 0
% 0.07/0.48      1 | 0 0
% 0.07/0.48  
% 0.07/0.48   parallel_through_point :
% 0.07/0.48        | 0 1
% 0.07/0.48      --+----
% 0.07/0.48      0 | 0 0
% 0.07/0.48      1 | 0 0
% 0.07/0.48  
% 0.07/0.48   line :
% 0.07/0.48          0 1
% 0.07/0.48      -------
% 0.07/0.48          0 0
% 0.07/0.48  
% 0.07/0.48   point :
% 0.07/0.48          0 1
% 0.07/0.48      -------
% 0.07/0.48          0 0
% 0.07/0.48  
% 0.07/0.48   apart_point_and_line :
% 0.07/0.48        | 0 1
% 0.07/0.48      --+----
% 0.07/0.48      0 | 0 0
% 0.07/0.48      1 | 0 0
% 0.07/0.48  
% 0.07/0.48   convergent_lines :
% 0.07/0.48        | 0 1
% 0.07/0.48      --+----
% 0.07/0.48      0 | 0 0
% 0.07/0.48      1 | 0 0
% 0.07/0.48  
% 0.07/0.48   distinct_lines :
% 0.07/0.48        | 0 1
% 0.07/0.48      --+----
% 0.07/0.48      0 | 0 0
% 0.07/0.48      1 | 0 0
% 0.07/0.48  
% 0.07/0.48   distinct_points :
% 0.07/0.48        | 0 1
% 0.07/0.48      --+----
% 0.07/0.48      0 | 0 0
% 0.07/0.48      1 | 0 0
% 0.07/0.48  
% 0.07/0.48   left_apart_point :
% 0.07/0.48        | 0 1
% 0.07/0.48      --+----
% 0.07/0.48      0 | 0 0
% 0.07/0.48      1 | 0 0
% 0.07/0.48  
% 0.07/0.48   left_convergent_lines :
% 0.07/0.48        | 0 1
% 0.07/0.48      --+----
% 0.07/0.48      0 | 0 0
% 0.07/0.48      1 | 0 0
% 0.07/0.48  
% 0.07/0.48   unequally_directed_lines :
% 0.07/0.48        | 0 1
% 0.07/0.48      --+----
% 0.07/0.48      0 | 0 0
% 0.07/0.48      1 | 0 0
% 0.07/0.48  before_on_line(0,0,0) = 0.
% 0.07/0.48  before_on_line(0,0,1) = 0.
% 0.07/0.48  before_on_line(0,1,0) = 0.
% 0.07/0.48  before_on_line(0,1,1) = 0.
% 0.07/0.48  before_on_line(1,0,0) = 0.
% 0.07/0.48  before_on_line(1,0,1) = 0.
% 0.07/0.48  before_on_line(1,1,0) = 0.
% 0.07/0.48  before_on_line(1,1,1) = 0.
% 0.07/0.48  divides_points(0,0,0) = 0.
% 0.07/0.48  divides_points(0,0,1) = 0.
% 0.07/0.48  divides_points(0,1,0) = 0.
% 0.07/0.48  divides_points(0,1,1) = 0.
% 0.07/0.48  divides_points(1,0,0) = 0.
% 0.07/0.48  divides_points(1,0,1) = 0.
% 0.07/0.48  divides_points(1,1,0) = 0.
% 0.07/0.48  divides_points(1,1,1) = 0.
% 0.07/0.48  between_on_line(0,0,0,0) = 0.
% 0.07/0.48  between_on_line(0,0,0,1) = 0.
% 0.07/0.48  between_on_line(0,0,1,0) = 0.
% 0.07/0.48  between_on_line(0,0,1,1) = 0.
% 0.07/0.48  between_on_line(0,1,0,0) = 0.
% 0.07/0.48  between_on_line(0,1,0,1) = 0.
% 0.07/0.48  between_on_line(0,1,1,0) = 0.
% 0.07/0.48  between_on_line(0,1,1,1) = 0.
% 0.07/0.48  between_on_line(1,0,0,0) = 0.
% 0.07/0.48  between_on_line(1,0,0,1) = 0.
% 0.07/0.48  between_on_line(1,0,1,0) = 0.
% 0.07/0.48  between_on_line(1,0,1,1) = 0.
% 0.07/0.48  between_on_line(1,1,0,0) = 0.
% 0.07/0.48  between_on_line(1,1,0,1) = 0.
% 0.07/0.48  between_on_line(1,1,1,0) = 0.
% 0.07/0.48  between_on_line(1,1,1,1) = 0.
% 0.07/0.48  
% 0.07/0.48  % SZS output end FiniteModel
% 0.07/0.48  ------ process 63589 exit (max_models) ------
% 0.07/0.48  
% 0.07/0.48  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.07/0.48  
% 0.07/0.48  Exiting with 1 model.
% 0.07/0.48  
% 0.07/0.48  Process 63589 exit (max_models) Tue Feb  7 18:24:46 2017
% 0.07/0.48  The process finished Tue Feb  7 18:24:46 2017
% 0.07/0.48  Mace4 ended
%------------------------------------------------------------------------------