TSTP Solution File: GEO224+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : GEO224+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n028.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  : 300s
% DateTime : Wed Jul 27 12:54:55 EDT 2022

% Result   : Timeout 299.83s 300.01s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO224+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n028.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  : 300
% 0.12/0.33  % DateTime : Wed Jul 27 07:05:18 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.70/1.92  ----- Otter 3.3f, August 2004 -----
% 1.70/1.92  The process was started by sandbox on n028.cluster.edu,
% 1.70/1.92  Wed Jul 27 07:05:19 2022
% 1.70/1.92  The command was "./otter".  The process ID is 5022.
% 1.70/1.92  
% 1.70/1.92  set(prolog_style_variables).
% 1.70/1.92  set(auto).
% 1.70/1.92     dependent: set(auto1).
% 1.70/1.92     dependent: set(process_input).
% 1.70/1.92     dependent: clear(print_kept).
% 1.70/1.92     dependent: clear(print_new_demod).
% 1.70/1.92     dependent: clear(print_back_demod).
% 1.70/1.92     dependent: clear(print_back_sub).
% 1.70/1.92     dependent: set(control_memory).
% 1.70/1.92     dependent: assign(max_mem, 12000).
% 1.70/1.92     dependent: assign(pick_given_ratio, 4).
% 1.70/1.92     dependent: assign(stats_level, 1).
% 1.70/1.92     dependent: assign(max_seconds, 10800).
% 1.70/1.92  clear(print_given).
% 1.70/1.92  
% 1.70/1.92  formula_list(usable).
% 1.70/1.92  all X (-distinct_points(X,X)).
% 1.70/1.92  all X (-distinct_lines(X,X)).
% 1.70/1.92  all X (-convergent_lines(X,X)).
% 1.70/1.92  all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 1.70/1.92  all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 1.70/1.92  all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 1.70/1.92  all X Y (distinct_points(X,Y)-> -apart_point_and_line(X,line_connecting(X,Y))).
% 1.70/1.92  all X Y (distinct_points(X,Y)-> -apart_point_and_line(Y,line_connecting(X,Y))).
% 1.70/1.92  all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),X)).
% 1.70/1.92  all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),Y)).
% 1.70/1.92  all X Y U V (distinct_points(X,Y)&distinct_lines(U,V)->apart_point_and_line(X,U)|apart_point_and_line(X,V)|apart_point_and_line(Y,U)|apart_point_and_line(Y,V)).
% 1.70/1.92  all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 1.70/1.92  all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 1.70/1.92  all X Y Z (convergent_lines(X,Y)->distinct_lines(Y,Z)|convergent_lines(X,Z)).
% 1.70/1.92  all X Y (-convergent_lines(parallel_through_point(Y,X),Y)).
% 1.70/1.92  all X Y (-apart_point_and_line(X,parallel_through_point(Y,X))).
% 1.70/1.92  all X Y Z (distinct_lines(Y,Z)->apart_point_and_line(X,Y)|apart_point_and_line(X,Z)|convergent_lines(Y,Z)).
% 1.70/1.92  all L M (convergent_lines(L,M)|unorthogonal_lines(L,M)).
% 1.70/1.92  all L M N (convergent_lines(L,M)&unorthogonal_lines(L,M)->convergent_lines(L,N)&unorthogonal_lines(L,N)|convergent_lines(M,N)&unorthogonal_lines(M,N)).
% 1.70/1.92  all A L (-unorthogonal_lines(orthogonal_through_point(L,A),L)).
% 1.70/1.92  all A L (-apart_point_and_line(A,orthogonal_through_point(L,A))).
% 1.70/1.92  all A L M N (distinct_lines(L,M)->apart_point_and_line(A,L)|apart_point_and_line(A,M)|unorthogonal_lines(L,N)|unorthogonal_lines(M,N)).
% 1.70/1.92  all A B (point(A)&point(B)&distinct_points(A,B)->line(line_connecting(A,B))).
% 1.70/1.92  all L M (line(L)&line(M)&convergent_lines(L,M)->point(intersection_point(L,M))).
% 1.70/1.92  all L A (line(L)&point(A)->line(parallel_through_point(L,A))).
% 1.70/1.92  all L A (line(L)&point(A)->line(orthogonal_through_point(L,A))).
% 1.70/1.92  -(all X Y (point(X)&line(Y)-> (exists Z (point(Z)& -apt(Z,Y))))).
% 1.70/1.92  end_of_list.
% 1.70/1.92  
% 1.70/1.92  -------> usable clausifies to:
% 1.70/1.92  
% 1.70/1.92  list(usable).
% 1.70/1.92  0 [] -distinct_points(X,X).
% 1.70/1.92  0 [] -distinct_lines(X,X).
% 1.70/1.92  0 [] -convergent_lines(X,X).
% 1.70/1.92  0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 1.70/1.92  0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 1.70/1.92  0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 1.70/1.92  0 [] -distinct_points(X,Y)| -apart_point_and_line(X,line_connecting(X,Y)).
% 1.70/1.92  0 [] -distinct_points(X,Y)| -apart_point_and_line(Y,line_connecting(X,Y)).
% 1.70/1.92  0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),X).
% 1.70/1.92  0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),Y).
% 1.70/1.92  0 [] -distinct_points(X,Y)| -distinct_lines(U,V)|apart_point_and_line(X,U)|apart_point_and_line(X,V)|apart_point_and_line(Y,U)|apart_point_and_line(Y,V).
% 1.70/1.92  0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 1.70/1.92  0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 1.70/1.92  0 [] -convergent_lines(X,Y)|distinct_lines(Y,Z)|convergent_lines(X,Z).
% 1.70/1.92  0 [] -convergent_lines(parallel_through_point(Y,X),Y).
% 1.70/1.92  0 [] -apart_point_and_line(X,parallel_through_point(Y,X)).
% 1.70/1.92  0 [] -distinct_lines(Y,Z)|apart_point_and_line(X,Y)|apart_point_and_line(X,Z)|convergent_lines(Y,Z).
% 1.70/1.92  0 [] convergent_lines(L,M)|unorthogonal_lines(L,M).
% 1.70/1.92  0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|convergent_lines(L,N)|convergent_lines(M,N).
% 1.70/1.92  0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|convergent_lines(L,N)|unorthogonal_lines(M,N).
% 1.70/1.92  0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|unorthogonal_lines(L,N)|convergent_lines(M,N).
% 1.70/1.92  0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|unorthogonal_lines(L,N)|unorthogonal_lines(M,N).
% 1.70/1.92  0 [] -unorthogonal_lines(orthogonal_through_point(L,A),L).
% 1.70/1.92  0 [] -apart_point_and_line(A,orthogonal_through_point(L,A)).
% 1.70/1.92  0 [] -distinct_lines(L,M)|apart_point_and_line(A,L)|apart_point_and_line(A,M)|unorthogonal_lines(L,N)|unorthogonal_lines(M,N).
% 1.70/1.92  0 [] -point(A)| -point(B)| -distinct_points(A,B)|line(line_connecting(A,B)).
% 1.70/1.92  0 [] -line(L)| -line(M)| -convergent_lines(L,M)|point(intersection_point(L,M)).
% 1.70/1.92  0 [] -line(L)| -point(A)|line(parallel_through_point(L,A)).
% 1.70/1.92  0 [] -line(L)| -point(A)|line(orthogonal_through_point(L,A)).
% 1.70/1.92  0 [] point($c2).
% 1.70/1.92  0 [] line($c1).
% 1.70/1.92  0 [] -point(Z)|apt(Z,$c1).
% 1.70/1.92  end_of_list.
% 1.70/1.92  
% 1.70/1.92  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.70/1.92  
% 1.70/1.92  This is a non-Horn set without equality.  The strategy will
% 1.70/1.92  be ordered hyper_res, unit deletion, and factoring, with
% 1.70/1.92  satellites in sos and with nuclei in usable.
% 1.70/1.92  
% 1.70/1.92     dependent: set(hyper_res).
% 1.70/1.92     dependent: set(factor).
% 1.70/1.92     dependent: set(unit_deletion).
% 1.70/1.92  
% 1.70/1.92  ------------> process usable:
% 1.70/1.92  ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 1.70/1.92  ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 1.70/1.92  ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 1.70/1.92  ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.70/1.92  ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 1.70/1.92  ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 1.70/1.92  ** KEPT (pick-wt=8): 7 [] -distinct_points(A,B)| -apart_point_and_line(A,line_connecting(A,B)).
% 1.70/1.92  ** KEPT (pick-wt=8): 8 [] -distinct_points(A,B)| -apart_point_and_line(B,line_connecting(A,B)).
% 1.70/1.92  ** KEPT (pick-wt=8): 9 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),A).
% 1.70/1.92  ** KEPT (pick-wt=8): 10 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),B).
% 1.70/1.92  ** KEPT (pick-wt=18): 11 [] -distinct_points(A,B)| -distinct_lines(C,D)|apart_point_and_line(A,C)|apart_point_and_line(A,D)|apart_point_and_line(B,C)|apart_point_and_line(B,D).
% 1.70/1.92  ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 1.70/1.92  ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 1.70/1.92  ** KEPT (pick-wt=9): 14 [] -convergent_lines(A,B)|distinct_lines(B,C)|convergent_lines(A,C).
% 1.70/1.92  ** KEPT (pick-wt=5): 15 [] -convergent_lines(parallel_through_point(A,B),A).
% 1.70/1.92  ** KEPT (pick-wt=5): 16 [] -apart_point_and_line(A,parallel_through_point(B,A)).
% 1.70/1.92  ** KEPT (pick-wt=12): 17 [] -distinct_lines(A,B)|apart_point_and_line(C,A)|apart_point_and_line(C,B)|convergent_lines(A,B).
% 1.70/1.92    Following clause subsumed by 6 during input processing: 0 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 1.70/1.92  ** KEPT (pick-wt=12): 18 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|convergent_lines(A,C)|unorthogonal_lines(B,C).
% 1.70/1.92  ** KEPT (pick-wt=12): 19 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|unorthogonal_lines(A,C)|convergent_lines(B,C).
% 1.70/1.92  ** KEPT (pick-wt=12): 20 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|unorthogonal_lines(A,C)|unorthogonal_lines(B,C).
% 1.70/1.92  ** KEPT (pick-wt=5): 21 [] -unorthogonal_lines(orthogonal_through_point(A,B),A).
% 1.70/1.92  ** KEPT (pick-wt=5): 22 [] -apart_point_and_line(A,orthogonal_through_point(B,A)).
% 1.70/1.92  ** KEPT (pick-wt=15): 23 [] -distinct_lines(A,B)|apart_point_and_line(C,A)|apart_point_and_line(C,B)|unorthogonal_lines(A,D)|unorthogonal_lines(B,D).
% 1.70/1.92  ** KEPT (pick-wt=11): 24 [] -point(A)| -point(B)| -distinct_points(A,B)|line(line_connecting(A,B)).
% 1.70/1.92  ** KEPT (pick-wt=11): 25 [] -line(A)| -line(B)| -convergent_lines(A,B)|point(intersection_point(A,B)).
% 1.70/1.92  ** KEPT (pick-wt=8): 26 [] -line(A)| -point(B)|line(parallel_through_point(A,B)).
% 1.70/1.92  ** KEPT (pick-wt=8): 27 [] -line(A)| -point(B)|Alarm clock 
% 299.83/300.01  Otter interrupted
% 299.83/300.02  PROOF NOT FOUND
%------------------------------------------------------------------------------