TSTP Solution File: GEO354+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO354+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n015.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 12:55:16 EDT 2022
% Result : Unknown 1.94s 2.11s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO354+1 : TPTP v8.1.0. Released v6.4.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 07:36:11 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.89/2.11 ----- Otter 3.3f, August 2004 -----
% 1.89/2.11 The process was started by sandbox2 on n015.cluster.edu,
% 1.89/2.11 Wed Jul 27 07:36:12 2022
% 1.89/2.11 The command was "./otter". The process ID is 31048.
% 1.89/2.11
% 1.89/2.11 set(prolog_style_variables).
% 1.89/2.11 set(auto).
% 1.89/2.11 dependent: set(auto1).
% 1.89/2.11 dependent: set(process_input).
% 1.89/2.11 dependent: clear(print_kept).
% 1.89/2.11 dependent: clear(print_new_demod).
% 1.89/2.11 dependent: clear(print_back_demod).
% 1.89/2.11 dependent: clear(print_back_sub).
% 1.89/2.11 dependent: set(control_memory).
% 1.89/2.11 dependent: assign(max_mem, 12000).
% 1.89/2.11 dependent: assign(pick_given_ratio, 4).
% 1.89/2.11 dependent: assign(stats_level, 1).
% 1.89/2.11 dependent: assign(max_seconds, 10800).
% 1.89/2.11 clear(print_given).
% 1.89/2.11
% 1.89/2.11 formula_list(usable).
% 1.89/2.11 all A L (apart_point_and_line(A,L)<->left_apart_point(A,L)|left_apart_point(A,reverse_line(L))).
% 1.89/2.11 all L M (convergent_lines(L,M)<->une_qually_directed_lines(L,M)&une_qually_directed_lines(L,reverse_line(M))).
% 1.89/2.11 all A B 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)).
% 1.89/2.11 all L A 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)))& -une_qually_directed_lines(L,line_connecting(A,B))).
% 1.89/2.11 all L A B 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)).
% 1.89/2.11 all A (-distinct_points(A,A)).
% 1.89/2.11 all A B C (distinct_points(A,B)->distinct_points(A,C)|distinct_points(B,C)).
% 1.89/2.11 all L (-distinct_lines(L,L)).
% 1.89/2.11 all L M N (distinct_lines(L,M)->distinct_lines(L,N)|distinct_lines(M,N)).
% 1.89/2.11 all L (-une_qually_directed_lines(L,L)).
% 1.89/2.11 all L M N (une_qually_directed_lines(L,M)->une_qually_directed_lines(L,N)|une_qually_directed_lines(M,N)).
% 1.89/2.11 all L M N (une_qually_directed_lines(L,M)&une_qually_directed_lines(L,reverse_line(M))->une_qually_directed_lines(L,N)&une_qually_directed_lines(L,reverse_line(N))|une_qually_directed_lines(M,N)&une_qually_directed_lines(M,reverse_line(N))).
% 1.89/2.11 all L M (line(L)&line(M)->une_qually_directed_lines(L,M)|une_qually_directed_lines(L,reverse_line(M))).
% 1.89/2.11 all L M (une_qually_directed_lines(L,M)&une_qually_directed_lines(L,reverse_line(M))->left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M))).
% 1.89/2.11 all A L (-(left_apart_point(A,L)|left_apart_point(A,reverse_line(L)))).
% 1.89/2.11 all L M (-(left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M)))).
% 1.89/2.11 all A B (point(A)&point(B)&distinct_points(A,B)->line(line_connecting(A,B))).
% 1.89/2.11 all L M (line(L)&line(M)&une_qually_directed_lines(L,M)&une_qually_directed_lines(L,reverse_line(M))->point(intersection_point(L,M))).
% 1.89/2.11 all L A (point(A)&line(L)->line(parallel_through_point(L,A))).
% 1.89/2.11 all L (line(L)->line(reverse_line(L))).
% 1.89/2.11 all A B (distinct_points(A,B)-> -apart_point_and_line(A,line_connecting(A,B))& -apart_point_and_line(B,line_connecting(A,B))).
% 1.89/2.11 all L M (une_qually_directed_lines(L,M)&une_qually_directed_lines(L,reverse_line(M))-> -apart_point_and_line(intersection_point(L,M),L)& -apart_point_and_line(intersection_point(L,M),M)).
% 1.89/2.11 all A L (-apart_point_and_line(A,parallel_through_point(L,A))).
% 1.89/2.11 all L (-distinct_lines(L,reverse_line(L))).
% 1.89/2.11 all A B (-une_qually_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A)))).
% 1.89/2.11 all A L (-une_qually_directed_lines(parallel_through_point(L,A),L)).
% 1.89/2.11 all A B L 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))).
% 1.89/2.11 all A B L (distinct_points(A,B)&left_apart_point(A,L)->left_apart_point(B,L)|left_convergent_lines(line_connecting(A,B),L)).
% 1.89/2.11 all A B L (left_apart_point(A,L)->distinct_points(A,B)|left_apart_point(B,L)).
% 1.89/2.11 all A L M (left_apart_point(A,L)&une_qually_directed_lines(L,M)->distinct_lines(L,M)|left_apart_point(A,reverse_line(M))).
% 1.89/2.11 all L M N (left_convergent_lines(L,M)->une_qually_directed_lines(M,N)|left_convergent_lines(L,N)).
% 1.89/2.11 all L (-une_qually_directed_lines(L,L)).
% 1.89/2.11 all L M N (-une_qually_directed_lines(L,M)& -une_qually_directed_lines(L,N)-> -une_qually_directed_lines(M,N)).
% 1.89/2.11 all A B L M (-(une_qually_directed_lines(L,M)&une_qually_directed_lines(L,reverse_line(M)))<-> -une_qually_directed_lines(L,M)| -une_qually_directed_lines(L,reverse_line(M))).
% 1.89/2.11 all L M N ((-une_qually_directed_lines(L,M)| -une_qually_directed_lines(L,reverse_line(M)))& (-une_qually_directed_lines(L,N)| -une_qually_directed_lines(L,reverse_line(N)))-> -une_qually_directed_lines(M,N)| -une_qually_directed_lines(M,reverse_line(N))).
% 1.89/2.11 all L M (line(L)&line(M)-> -(-une_qually_directed_lines(L,M)& -une_qually_directed_lines(L,reverse_line(M)))).
% 1.89/2.11 all L M N (-une_qually_directed_lines(L,reverse_line(M))& (-une_qually_directed_lines(L,reverse_line(N))-> -une_qually_directed_lines(M,N))).
% 1.89/2.11 end_of_list.
% 1.89/2.11
% 1.89/2.11 -------> usable clausifies to:
% 1.89/2.11
% 1.89/2.11 list(usable).
% 1.89/2.11 0 [] -apart_point_and_line(A,L)|left_apart_point(A,L)|left_apart_point(A,reverse_line(L)).
% 1.89/2.11 0 [] apart_point_and_line(A,L)| -left_apart_point(A,L).
% 1.89/2.11 0 [] apart_point_and_line(A,L)| -left_apart_point(A,reverse_line(L)).
% 1.89/2.11 0 [] -convergent_lines(L,M)|une_qually_directed_lines(L,M).
% 1.89/2.11 0 [] -convergent_lines(L,M)|une_qually_directed_lines(L,reverse_line(M)).
% 1.89/2.11 0 [] convergent_lines(L,M)| -une_qually_directed_lines(L,M)| -une_qually_directed_lines(L,reverse_line(M)).
% 1.89/2.11 0 [] -divides_points(L,A,B)|left_apart_point(A,L)|left_apart_point(A,reverse_line(L)).
% 1.89/2.11 0 [] -divides_points(L,A,B)|left_apart_point(A,L)|left_apart_point(B,L).
% 1.89/2.11 0 [] -divides_points(L,A,B)|left_apart_point(B,reverse_line(L))|left_apart_point(A,reverse_line(L)).
% 1.89/2.11 0 [] -divides_points(L,A,B)|left_apart_point(B,reverse_line(L))|left_apart_point(B,L).
% 1.89/2.11 0 [] divides_points(L,A,B)| -left_apart_point(A,L)| -left_apart_point(B,reverse_line(L)).
% 1.89/2.11 0 [] divides_points(L,A,B)| -left_apart_point(A,reverse_line(L))| -left_apart_point(B,L).
% 1.89/2.11 0 [] -before_on_line(L,A,B)|distinct_points(A,B).
% 1.89/2.11 0 [] -before_on_line(L,A,B)| -left_apart_point(A,L).
% 1.89/2.11 0 [] -before_on_line(L,A,B)| -left_apart_point(A,reverse_line(L)).
% 1.89/2.11 0 [] -before_on_line(L,A,B)| -left_apart_point(B,L).
% 1.89/2.11 0 [] -before_on_line(L,A,B)| -left_apart_point(B,reverse_line(L)).
% 1.89/2.11 0 [] -before_on_line(L,A,B)| -une_qually_directed_lines(L,line_connecting(A,B)).
% 1.89/2.11 0 [] 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))|une_qually_directed_lines(L,line_connecting(A,B)).
% 1.89/2.11 0 [] -between_on_line(L,A,B,C)|before_on_line(L,A,B)|before_on_line(L,C,B).
% 1.89/2.11 0 [] -between_on_line(L,A,B,C)|before_on_line(L,A,B)|before_on_line(L,B,A).
% 1.89/2.11 0 [] -between_on_line(L,A,B,C)|before_on_line(L,B,C)|before_on_line(L,C,B).
% 1.89/2.11 0 [] -between_on_line(L,A,B,C)|before_on_line(L,B,C)|before_on_line(L,B,A).
% 1.89/2.11 0 [] between_on_line(L,A,B,C)| -before_on_line(L,A,B)| -before_on_line(L,B,C).
% 1.89/2.11 0 [] between_on_line(L,A,B,C)| -before_on_line(L,C,B)| -before_on_line(L,B,A).
% 1.89/2.11 0 [] -distinct_points(A,A).
% 1.89/2.11 0 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.89/2.11 0 [] -distinct_lines(L,L).
% 1.89/2.11 0 [] -distinct_lines(L,M)|distinct_lines(L,N)|distinct_lines(M,N).
% 1.89/2.11 0 [] -une_qually_directed_lines(L,L).
% 1.89/2.11 0 [] -une_qually_directed_lines(L,M)|une_qually_directed_lines(L,N)|une_qually_directed_lines(M,N).
% 1.89/2.11 0 [] -une_qually_directed_lines(L,M)| -une_qually_directed_lines(L,reverse_line(M))|une_qually_directed_lines(L,N)|une_qually_directed_lines(M,N).
% 1.89/2.11 0 [] -une_qually_directed_lines(L,M)| -une_qually_directed_lines(L,reverse_line(M))|une_qually_directed_lines(L,N)|une_qually_directed_lines(M,reverse_line(N)).
% 1.89/2.11 0 [] -une_qually_directed_lines(L,M)| -une_qually_directed_lines(L,reverse_line(M))|une_qually_directed_lines(L,reverse_line(N))|une_qually_directed_lines(M,N).
% 1.89/2.11 0 [] -une_qually_directed_lines(L,M)| -une_qually_directed_lines(L,reverse_line(M))|une_qually_directed_lines(L,reverse_line(N))|une_qually_directed_lines(M,reverse_line(N)).
% 1.89/2.11 0 [] -line(L)| -line(M)|une_qually_directed_lines(L,M)|une_qually_directed_lines(L,reverse_line(M)).
% 1.89/2.11 0 [] -une_qually_directed_lines(L,M)| -une_qually_directed_lines(L,reverse_line(M))|left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M)).
% 1.89/2.11 0 [] -left_apart_point(A,L).
% 1.89/2.11 0 [] -left_apart_point(A,reverse_line(L)).
% 1.89/2.11 0 [] -left_convergent_lines(L,M).
% 1.89/2.11 0 [] -left_convergent_lines(L,reverse_line(M)).
% 1.89/2.11 0 [] -point(A)| -point(B)| -distinct_points(A,B)|line(line_connecting(A,B)).
% 1.89/2.11 0 [] -line(L)| -line(M)| -une_qually_directed_lines(L,M)| -une_qually_directed_lines(L,reverse_line(M))|point(intersection_point(L,M)).
% 1.89/2.11 0 [] -point(A)| -line(L)|line(parallel_through_point(L,A)).
% 1.89/2.11 0 [] -line(L)|line(reverse_line(L)).
% 1.89/2.11 0 [] -distinct_points(A,B)| -apart_point_and_line(A,line_connecting(A,B)).
% 1.89/2.11 0 [] -distinct_points(A,B)| -apart_point_and_line(B,line_connecting(A,B)).
% 1.89/2.11 0 [] -une_qually_directed_lines(L,M)| -une_qually_directed_lines(L,reverse_line(M))| -apart_point_and_line(intersection_point(L,M),L).
% 1.89/2.11 0 [] -une_qually_directed_lines(L,M)| -une_qually_directed_lines(L,reverse_line(M))| -apart_point_and_line(intersection_point(L,M),M).
% 1.89/2.11 0 [] -apart_point_and_line(A,parallel_through_point(L,A)).
% 1.89/2.11 0 [] -distinct_lines(L,reverse_line(L)).
% 1.89/2.11 0 [] -une_qually_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))).
% 1.89/2.11 0 [] -une_qually_directed_lines(parallel_through_point(L,A),L).
% 1.89/2.11 0 [] -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)).
% 1.89/2.11 0 [] -distinct_points(A,B)| -left_apart_point(A,L)|left_apart_point(B,L)|left_convergent_lines(line_connecting(A,B),L).
% 1.89/2.11 0 [] -left_apart_point(A,L)|distinct_points(A,B)|left_apart_point(B,L).
% 1.89/2.11 0 [] -left_apart_point(A,L)| -une_qually_directed_lines(L,M)|distinct_lines(L,M)|left_apart_point(A,reverse_line(M)).
% 1.89/2.11 0 [] -left_convergent_lines(L,M)|une_qually_directed_lines(M,N)|left_convergent_lines(L,N).
% 1.89/2.11 0 [] -une_qually_directed_lines(L,L).
% 1.89/2.11 0 [] une_qually_directed_lines(L,M)|une_qually_directed_lines(L,N)| -une_qually_directed_lines(M,N).
% 1.89/2.11 0 [] une_qually_directed_lines(L,M)|une_qually_directed_lines(L,N)| -une_qually_directed_lines(M,N)| -une_qually_directed_lines(M,reverse_line(N)).
% 1.89/2.11 0 [] une_qually_directed_lines(L,M)|une_qually_directed_lines(L,reverse_line(N))| -une_qually_directed_lines(M,N)| -une_qually_directed_lines(M,reverse_line(N)).
% 1.89/2.11 0 [] une_qually_directed_lines(L,reverse_line(M))|une_qually_directed_lines(L,N)| -une_qually_directed_lines(M,N)| -une_qually_directed_lines(M,reverse_line(N)).
% 1.89/2.11 0 [] une_qually_directed_lines(L,reverse_line(M))|une_qually_directed_lines(L,reverse_line(N))| -une_qually_directed_lines(M,N)| -une_qually_directed_lines(M,reverse_line(N)).
% 1.89/2.11 0 [] -line(L)| -line(M)|une_qually_directed_lines(L,M)|une_qually_directed_lines(L,reverse_line(M)).
% 1.89/2.11 0 [] -une_qually_directed_lines(L,reverse_line(M)).
% 1.89/2.11 0 [] une_qually_directed_lines(L,reverse_line(N))| -une_qually_directed_lines(M,N).
% 1.89/2.11 end_of_list.
% 1.89/2.11
% 1.89/2.11 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=10.
% 1.89/2.11
% 1.89/2.11 This is a non-Horn set without equality. The strategy will
% 1.89/2.11 be ordered hyper_res, unit deletion, and factoring, with
% 1.89/2.11 satellites in sos and with nuclei in usable.
% 1.89/2.11
% 1.89/2.11 dependent: set(hyper_res).
% 1.89/2.11 dependent: set(factor).
% 1.89/2.11 dependent: set(unit_deletion).
% 1.89/2.11
% 1.89/2.11 ------------> process usable:
% 1.89/2.11 ** KEPT (pick-wt=10): 1 [] -apart_point_and_line(A,B)|left_apart_point(A,B)|left_apart_point(A,reverse_line(B)).
% 1.89/2.11 ** KEPT (pick-wt=6): 2 [] apart_point_and_line(A,B)| -left_apart_point(A,B).
% 1.89/2.11 ** KEPT (pick-wt=7): 3 [] apart_point_and_line(A,B)| -left_apart_point(A,reverse_line(B)).
% 1.89/2.11 ** KEPT (pick-wt=6): 4 [] -convergent_lines(A,B)|une_qually_directed_lines(A,B).
% 1.89/2.11 ** KEPT (pick-wt=7): 5 [] -convergent_lines(A,B)|une_qually_directed_lines(A,reverse_line(B)).
% 1.89/2.11 ** KEPT (pick-wt=10): 6 [] convergent_lines(A,B)| -une_qually_directed_lines(A,B)| -une_qually_directed_lines(A,reverse_line(B)).
% 1.89/2.11 ** KEPT (pick-wt=11): 7 [] -divides_points(A,B,C)|left_apart_point(B,A)|left_apart_point(B,reverse_line(A)).
% 1.89/2.11 ** KEPT (pick-wt=10): 8 [] -divides_points(A,B,C)|left_apart_point(B,A)|left_apart_point(C,A).
% 1.89/2.11 ** KEPT (pick-wt=12): 9 [] -divides_points(A,B,C)|left_apart_point(C,reverse_line(A))|left_apart_point(B,reverse_line(A)).
% 1.89/2.11 ** KEPT (pick-wt=11): 10 [] -divides_points(A,B,C)|left_apart_point(C,reverse_line(A))|left_apart_point(C,A).
% 1.89/2.11 ** KEPT (pick-wt=11): 11 [] divides_points(A,B,C)| -left_apart_point(B,A)| -left_apart_point(C,reverse_line(A)).
% 1.89/2.11 ** KEPT (pick-wt=11): 12 [] divides_points(A,B,C)| -left_apart_point(B,reverse_line(A))| -left_apart_point(C,A).
% 1.89/2.11 ** KEPT (pick-wt=7): 13 [] -before_on_line(A,B,C)|distinct_points(B,C).
% 1.89/2.11 ** KEPT (pick-wt=7): 14 [] -before_on_line(A,B,C)| -left_apart_point(B,A).
% 1.89/2.11 ** KEPT (pick-wt=8): 15 [] -before_on_line(A,B,C)| -left_apart_point(B,reverse_line(A)).
% 1.89/2.11 ** KEPT (pick-wt=7): 16 [] -before_on_line(A,B,C)| -left_apart_point(C,A).
% 1.89/2.11 ** KEPT (pick-wt=8): 17 [] -before_on_line(A,B,C)| -left_apart_point(C,reverse_line(A)).
% 1.89/2.11 ** KEPT (pick-wt=9): 18 [] -before_on_line(A,B,C)| -une_qually_directed_lines(A,line_connecting(B,C)).
% 1.89/2.11 ** KEPT (pick-wt=26): 19 [] 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))|une_qually_directed_lines(A,line_connecting(B,C)).
% 1.89/2.11 ** KEPT (pick-wt=13): 20 [] -between_on_line(A,B,C,D)|before_on_line(A,B,C)|before_on_line(A,D,C).
% 1.89/2.11 ** KEPT (pick-wt=13): 21 [] -between_on_line(A,B,C,D)|before_on_line(A,B,C)|before_on_line(A,C,B).
% 1.89/2.11 ** KEPT (pick-wt=13): 22 [] -between_on_line(A,B,C,D)|before_on_line(A,C,D)|before_on_line(A,D,C).
% 1.89/2.11 ** KEPT (pick-wt=13): 23 [] -between_on_line(A,B,C,D)|before_on_line(A,C,D)|before_on_line(A,C,B).
% 1.89/2.11 ** KEPT (pick-wt=13): 24 [] between_on_line(A,B,C,D)| -before_on_line(A,B,C)| -before_on_line(A,C,D).
% 1.89/2.11 ** KEPT (pick-wt=13): 25 [] between_on_line(A,B,C,D)| -before_on_line(A,D,C)| -before_on_line(A,C,B).
% 1.89/2.11 ** KEPT (pick-wt=3): 26 [] -distinct_points(A,A).
% 1.89/2.11 ** KEPT (pick-wt=9): 27 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.89/2.11 ** KEPT (pick-wt=3): 28 [] -distinct_lines(A,A).
% 1.89/2.11 ** KEPT (pick-wt=9): 29 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 1.89/2.11 ** KEPT (pick-wt=3): 30 [] -une_qually_directed_lines(A,A).
% 1.89/2.11 ** KEPT (pick-wt=9): 31 [] -une_qually_directed_lines(A,B)|une_qually_directed_lines(A,C)|une_qually_directed_lines(B,C).
% 1.89/2.11 Following clause subsumed by 31 during input processing: 0 [] -une_qually_directed_lines(A,B)| -une_qually_directed_lines(A,reverse_line(B))|une_qually_directed_lines(A,C)|une_qually_directed_lines(B,C).
% 1.89/2.11 ** KEPT (pick-wt=14): 32 [] -une_qually_directed_lines(A,B)| -une_qually_directed_lines(A,reverse_line(B))|une_qually_directed_lines(A,C)|une_qually_directed_lines(B,reverse_line(C)).
% 1.89/2.11 ** KEPT (pick-wt=14): 33 [] -une_qually_directed_lines(A,B)| -une_qually_directed_lines(A,reverse_line(B))|une_qually_directed_lines(A,reverse_line(C))|une_qually_directed_lines(B,C).
% 1.89/2.11 Following clause subsumed by 31 during input processing: 0 [] -une_qually_directed_lines(A,B)| -une_qually_directed_lines(A,reverse_line(B))|une_qually_directed_lines(A,reverse_line(C))|une_qually_directed_lines(B,reverse_line(C)).
% 1.89/2.11 ** KEPT (pick-wt=11): 34 [] -line(A)| -line(B)|une_qually_directed_lines(A,B)|une_qually_directed_lines(A,reverse_line(B)).
% 1.89/2.11 ** KEPT (pick-wt=14): 35 [] -une_qually_directed_lines(A,B)| -une_qually_directed_lines(A,reverse_line(B))|left_convergent_lines(A,B)|left_convergent_lines(A,reverse_line(B)).
% 1.89/2.11 ** KEPT (pick-wt=3): 36 [] -left_apart_point(A,B).
% 1.89/2.11 Following clause subsumed by 36 during input processing: 0 [] -left_apart_point(A,reverse_line(B)).
% 1.89/2.11 ** KEPT (pick-wt=3): 37 [] -left_convergent_lines(A,B).
% 1.89/2.11 Following clause subsumed by 37 during input processing: 0 [] -left_convergent_lines(A,reverse_line(B)).
% 1.89/2.11 ** KEPT (pick-wt=11): 38 [] -point(A)| -point(B)| -distinct_points(A,B)|line(line_connecting(A,B)).
% 1.89/2.11 ** KEPT (pick-wt=15): 39 [] -line(A)| -line(B)| -une_qually_directed_lines(A,B)| -une_qually_directed_lines(A,reverse_line(B))|point(intersection_point(A,B)).
% 1.89/2.11 ** KEPT (pick-wt=8): 40 [] -point(A)| -line(B)|line(parallel_through_point(B,A)).
% 1.89/2.11 ** KEPT (pick-wt=5): 41 [] -line(A)|line(reverse_line(A)).
% 1.89/2.11 ** KEPT (pick-wt=8): 42 [] -distinct_points(A,B)| -apart_point_and_line(A,line_connecting(A,B)).
% 1.89/2.11 ** KEPT (pick-wt=8): 43 [] -distinct_points(A,B)| -apart_point_and_line(B,line_connecting(A,B)).
% 1.89/2.11 ** KEPT (pick-wt=12): 44 [] -une_qually_directed_lines(A,B)| -une_qually_directed_lines(A,reverse_line(B))| -apart_point_and_line(intersection_point(A,B),A).
% 1.89/2.11 ** KEPT (pick-wt=12): 45 [] -une_qually_directed_lines(A,B)| -une_qually_directed_lines(A,reverse_line(B))| -apart_point_and_line(intersection_point(A,B),B).
% 1.89/2.11 ** KEPT (pick-wt=5): 46 [] -apart_point_and_line(A,parallel_through_point(B,A)).
% 1.89/2.11 ** KEPT (pick-wt=4): 47 [] -distinct_lines(A,reverse_line(A)).
% 1.89/2.11 ** KEPT (pick-wt=8): 48 [] -une_qually_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))).
% 1.89/2.11 ** KEPT (pick-wt=5): 49 [] -une_qually_directed_lines(parallel_through_point(A,B),A).
% 1.89/2.11 ** KEPT (pick-wt=6): 51 [copy,50,unit_del,36,36,36,36,36,36,36,36] -distinct_points(A,B)| -distinct_lines(C,D).
% 1.89/2.11 Following clause subsumed by 36 during input processing: 0 [unit_del,36,37] -distinct_points(A,B)| -left_apart_point(A,C).
% 1.89/2.11 Following clause subsumed by 36 during input processing: 0 [unit_del,36] -left_apart_point(A,B)|distinct_points(A,C).
% 1.89/2.11 Following clause subsumed by 36 during input processing: 0 [unit_del,36] -left_apart_point(A,B)| -une_qually_directed_lines(B,C)|distinct_lines(B,C).
% 1.89/2.11 Following clause subsumed by 37 during input processing: 0 [unit_del,37] -left_convergent_lines(A,B)|une_qually_directed_lines(B,C).
% 1.89/2.11 Following clause subsumed by 30 during input processing: 0 [] -une_qually_directed_lines(A,A).
% 1.89/2.11 ** KEPT (pick-wt=9): 52 [] une_qually_directed_lines(A,B)|une_qually_directed_lines(A,C)| -une_qually_directed_lines(B,C).
% 1.89/2.11 Following clause subsumed by 52 during input processing: 0 [] une_qually_directed_lines(A,B)|une_qually_directed_lines(A,C)| -une_qually_directed_lines(B,C)| -une_qually_directed_lines(B,reverse_line(C)).
% 1.89/2.11 Following clause subsumed by 52 during input processing: 0 [] une_qually_directed_lines(A,B)|une_qually_directed_lines(A,reverse_line(C))| -une_qually_directed_lines(B,C)| -une_qually_directed_lines(B,reverse_line(C)).
% 1.89/2.11 ** KEPT (pick-wt=14): 53 [] une_qually_directed_lines(A,reverse_line(B))|une_qually_directed_lines(A,C)| -une_qually_directed_lines(B,C)| -une_qually_directed_lines(B,reverse_line(C)).
% 1.89/2.11 ** KEPT (pick-wt=15): 54 [] une_qually_directed_lines(A,reverse_line(B))|une_qually_directed_lines(A,reverse_line(C))| -une_qually_directed_lines(B,C)| -une_qually_directed_lines(B,reverse_line(C)).
% 1.89/2.11 Following clause subsumed by 34 during input processing: 0 [] -line(A)| -line(B)|une_qually_directed_lines(A,B)|une_qually_directed_lines(A,reverse_line(B)).
% 1.89/2.11 ** KEPT (pick-wt=4): 55 [] -une_qually_directed_lines(A,reverse_line(B)).
% 1.89/2.11 ** KEPT (pick-wt=3): 57 [copy,56,unit_del,55] -une_qually_directed_lines(A,B).
% 1.89/2.11 36 back subsumes 17.
% 1.89/2.11 36 back subsumes 16.
% 1.89/2.11 36 back subsumes 15.
% 1.89/2.11 36 back subsumes 14.
% 1.89/2.11 36 back subsumes 12.
% 1.89/2.11 36 back subsumes 11.
% 1.89/2.11 36 back subsumes 3.
% 1.89/2.11 36 back subsumes 2.
% 1.89/2.11 55 back subsumes 54.
% 1.89/2.11 55 back subsumes 53.
% 1.89/2.11 55 back subsumes 48.
% 1.89/2.11 55 back subsumes 45.
% 1.89/2.11 55 back subsumes 44.
% 1.89/2.11 55 back subsumes 39.
% 1.89/2.11 55 back subsumes 35.
% 1.89/2.11 55 back subsumes 33.
% 1.89/2.11 55 back subsumes 32.
% 1.89/2.11 55 back subsumes 6.
% 1.89/2.11 57 back subsumes 55.
% 1.89/2.11 57 back subsumes 52.
% 1.89/2.11 57 back subsumes 49.
% 1.89/2.11 57 back subsumes 31.
% 1.89/2.11 57 back subsumes 30.
% 1.89/2.11 57 back subsumes 18.
% 1.89/2.11 64 back subsumes 41.
% 1.89/2.11 64 back subsumes 40.
% 1.89/2.11 64 back subsumes 34.
% 1.89/2.11
% 1.89/2.11 ------------> process sos:
% 1.89/2.11
% 1.89/2.11 ======= end of input processing =======
% 1.89/2.11
% 1.89/2.11 =========== start of search ===========
% 1.89/2.11
% 1.89/2.11 Search stopped because sos empty.
% 1.89/2.11
% 1.89/2.11
% 1.89/2.11 Search stopped because sos empty.
% 1.89/2.11
% 1.89/2.11 ============ end of search ============
% 1.89/2.11
% 1.89/2.11 -------------- statistics -------------
% 1.89/2.11 clauses given 0
% 1.89/2.11 clauses generated 19
% 1.89/2.11 clauses kept 62
% 1.89/2.11 clauses forward subsumed 24
% 1.89/2.11 clauses back subsumed 27
% 1.89/2.11 Kbytes malloced 976
% 1.89/2.11
% 1.89/2.11 ----------- times (seconds) -----------
% 1.89/2.11 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.89/2.11 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.89/2.11 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.89/2.11
% 1.89/2.11 Process 31048 finished Wed Jul 27 07:36:13 2022
% 1.89/2.11 Otter interrupted
% 1.94/2.11 PROOF NOT FOUND
%------------------------------------------------------------------------------