TSTP Solution File: GEO263+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO263+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n010.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 12:55:06 EDT 2022
% Result : Theorem 1.77s 1.98s
% Output : Refutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 5 unt; 1 nHn; 8 RR)
% Number of literals : 13 ( 0 equ; 5 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( ~ convergent_lines(A,B)
| une_qually_directed_lines(A,B) ),
file('GEO263+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ convergent_lines(A,B)
| une_qually_directed_lines(A,reverse_line(B)) ),
file('GEO263+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ 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)) ),
file('GEO263+1.p',unknown),
[] ).
cnf(37,axiom,
~ left_convergent_lines(A,B),
file('GEO263+1.p',unknown),
[] ).
cnf(61,axiom,
convergent_lines(dollar_c6,dollar_c5),
file('GEO263+1.p',unknown),
[] ).
cnf(68,plain,
une_qually_directed_lines(dollar_c6,reverse_line(dollar_c5)),
inference(hyper,[status(thm)],[61,5]),
[iquote('hyper,61,5')] ).
cnf(69,plain,
une_qually_directed_lines(dollar_c6,dollar_c5),
inference(hyper,[status(thm)],[61,4]),
[iquote('hyper,61,4')] ).
cnf(79,plain,
$false,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[68,35,69]),37,37]),
[iquote('hyper,68,35,69,unit_del,37,37')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO263+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.12/0.12 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n010.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 : 300
% 0.12/0.34 % DateTime : Wed Jul 27 07:05:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.77/1.98 ----- Otter 3.3f, August 2004 -----
% 1.77/1.98 The process was started by sandbox on n010.cluster.edu,
% 1.77/1.98 Wed Jul 27 07:05:40 2022
% 1.77/1.98 The command was "./otter". The process ID is 30808.
% 1.77/1.98
% 1.77/1.98 set(prolog_style_variables).
% 1.77/1.98 set(auto).
% 1.77/1.98 dependent: set(auto1).
% 1.77/1.98 dependent: set(process_input).
% 1.77/1.98 dependent: clear(print_kept).
% 1.77/1.98 dependent: clear(print_new_demod).
% 1.77/1.98 dependent: clear(print_back_demod).
% 1.77/1.98 dependent: clear(print_back_sub).
% 1.77/1.98 dependent: set(control_memory).
% 1.77/1.98 dependent: assign(max_mem, 12000).
% 1.77/1.98 dependent: assign(pick_given_ratio, 4).
% 1.77/1.98 dependent: assign(stats_level, 1).
% 1.77/1.98 dependent: assign(max_seconds, 10800).
% 1.77/1.98 clear(print_given).
% 1.77/1.98
% 1.77/1.98 formula_list(usable).
% 1.77/1.98 all A L (apart_point_and_line(A,L)<->left_apart_point(A,L)|left_apart_point(A,reverse_line(L))).
% 1.77/1.98 all L M (convergent_lines(L,M)<->une_qually_directed_lines(L,M)&une_qually_directed_lines(L,reverse_line(M))).
% 1.77/1.98 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)).
% 1.77/1.98 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))).
% 1.77/1.98 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)).
% 1.77/1.98 all A (-distinct_points(A,A)).
% 1.77/1.98 all A B C (distinct_points(A,B)->distinct_points(A,C)|distinct_points(B,C)).
% 1.77/1.98 all L (-distinct_lines(L,L)).
% 1.77/1.98 all L M N (distinct_lines(L,M)->distinct_lines(L,N)|distinct_lines(M,N)).
% 1.77/1.98 all L (-une_qually_directed_lines(L,L)).
% 1.77/1.98 all L M N (une_qually_directed_lines(L,M)->une_qually_directed_lines(L,N)|une_qually_directed_lines(M,N)).
% 1.77/1.98 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))).
% 1.77/1.98 all L M (line(L)&line(M)->une_qually_directed_lines(L,M)|une_qually_directed_lines(L,reverse_line(M))).
% 1.77/1.98 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))).
% 1.77/1.98 all A L (-(left_apart_point(A,L)|left_apart_point(A,reverse_line(L)))).
% 1.77/1.98 all L M (-(left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M)))).
% 1.77/1.98 all A B (point(A)&point(B)&distinct_points(A,B)->line(line_connecting(A,B))).
% 1.77/1.98 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))).
% 1.77/1.98 all L A (point(A)&line(L)->line(parallel_through_point(L,A))).
% 1.77/1.98 all L (line(L)->line(reverse_line(L))).
% 1.77/1.98 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))).
% 1.77/1.98 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)).
% 1.77/1.98 all A L (-apart_point_and_line(A,parallel_through_point(L,A))).
% 1.77/1.98 all L (-distinct_lines(L,reverse_line(L))).
% 1.77/1.98 all A B (-une_qually_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A)))).
% 1.77/1.98 all A L (-une_qually_directed_lines(parallel_through_point(L,A),L)).
% 1.77/1.98 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))).
% 1.77/1.98 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)).
% 1.77/1.98 all A B L (left_apart_point(A,L)->distinct_points(A,B)|left_apart_point(B,L)).
% 1.77/1.98 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))).
% 1.77/1.98 all L M N (left_convergent_lines(L,M)->une_qually_directed_lines(M,N)|left_convergent_lines(L,N)).
% 1.77/1.98 -(all L M N A B C (between_on_line(L,A,B,C)&convergent_lines(L,M)&convergent_lines(L,N)&convergent_lines(M,N)->between_on_line(M,intersection_point(M,parallel_through_point(N,A)),intersection_point(M,parallel_through_point(N,B)),intersection_point(M,parallel_through_point(N,C))))).
% 1.77/1.98 end_of_list.
% 1.77/1.98
% 1.77/1.98 -------> usable clausifies to:
% 1.77/1.98
% 1.77/1.98 list(usable).
% 1.77/1.98 0 [] -apart_point_and_line(A,L)|left_apart_point(A,L)|left_apart_point(A,reverse_line(L)).
% 1.77/1.98 0 [] apart_point_and_line(A,L)| -left_apart_point(A,L).
% 1.77/1.98 0 [] apart_point_and_line(A,L)| -left_apart_point(A,reverse_line(L)).
% 1.77/1.98 0 [] -convergent_lines(L,M)|une_qually_directed_lines(L,M).
% 1.77/1.98 0 [] -convergent_lines(L,M)|une_qually_directed_lines(L,reverse_line(M)).
% 1.77/1.98 0 [] convergent_lines(L,M)| -une_qually_directed_lines(L,M)| -une_qually_directed_lines(L,reverse_line(M)).
% 1.77/1.98 0 [] -divides_points(L,A,B)|left_apart_point(A,L)|left_apart_point(A,reverse_line(L)).
% 1.77/1.98 0 [] -divides_points(L,A,B)|left_apart_point(A,L)|left_apart_point(B,L).
% 1.77/1.98 0 [] -divides_points(L,A,B)|left_apart_point(B,reverse_line(L))|left_apart_point(A,reverse_line(L)).
% 1.77/1.98 0 [] -divides_points(L,A,B)|left_apart_point(B,reverse_line(L))|left_apart_point(B,L).
% 1.77/1.98 0 [] divides_points(L,A,B)| -left_apart_point(A,L)| -left_apart_point(B,reverse_line(L)).
% 1.77/1.98 0 [] divides_points(L,A,B)| -left_apart_point(A,reverse_line(L))| -left_apart_point(B,L).
% 1.77/1.98 0 [] -before_on_line(L,A,B)|distinct_points(A,B).
% 1.77/1.98 0 [] -before_on_line(L,A,B)| -left_apart_point(A,L).
% 1.77/1.98 0 [] -before_on_line(L,A,B)| -left_apart_point(A,reverse_line(L)).
% 1.77/1.98 0 [] -before_on_line(L,A,B)| -left_apart_point(B,L).
% 1.77/1.98 0 [] -before_on_line(L,A,B)| -left_apart_point(B,reverse_line(L)).
% 1.77/1.98 0 [] -before_on_line(L,A,B)| -une_qually_directed_lines(L,line_connecting(A,B)).
% 1.77/1.98 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)).
% 1.77/1.98 0 [] -between_on_line(L,A,B,C)|before_on_line(L,A,B)|before_on_line(L,C,B).
% 1.77/1.98 0 [] -between_on_line(L,A,B,C)|before_on_line(L,A,B)|before_on_line(L,B,A).
% 1.77/1.98 0 [] -between_on_line(L,A,B,C)|before_on_line(L,B,C)|before_on_line(L,C,B).
% 1.77/1.98 0 [] -between_on_line(L,A,B,C)|before_on_line(L,B,C)|before_on_line(L,B,A).
% 1.77/1.98 0 [] between_on_line(L,A,B,C)| -before_on_line(L,A,B)| -before_on_line(L,B,C).
% 1.77/1.98 0 [] between_on_line(L,A,B,C)| -before_on_line(L,C,B)| -before_on_line(L,B,A).
% 1.77/1.98 0 [] -distinct_points(A,A).
% 1.77/1.98 0 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.77/1.98 0 [] -distinct_lines(L,L).
% 1.77/1.98 0 [] -distinct_lines(L,M)|distinct_lines(L,N)|distinct_lines(M,N).
% 1.77/1.98 0 [] -une_qually_directed_lines(L,L).
% 1.77/1.98 0 [] -une_qually_directed_lines(L,M)|une_qually_directed_lines(L,N)|une_qually_directed_lines(M,N).
% 1.77/1.98 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).
% 1.77/1.98 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)).
% 1.77/1.98 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).
% 1.77/1.98 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)).
% 1.77/1.98 0 [] -line(L)| -line(M)|une_qually_directed_lines(L,M)|une_qually_directed_lines(L,reverse_line(M)).
% 1.77/1.98 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)).
% 1.77/1.98 0 [] -left_apart_point(A,L).
% 1.77/1.98 0 [] -left_apart_point(A,reverse_line(L)).
% 1.77/1.98 0 [] -left_convergent_lines(L,M).
% 1.77/1.98 0 [] -left_convergent_lines(L,reverse_line(M)).
% 1.77/1.98 0 [] -point(A)| -point(B)| -distinct_points(A,B)|line(line_connecting(A,B)).
% 1.77/1.98 0 [] -line(L)| -line(M)| -une_qually_directed_lines(L,M)| -une_qually_directed_lines(L,reverse_line(M))|point(intersection_point(L,M)).
% 1.77/1.98 0 [] -point(A)| -line(L)|line(parallel_through_point(L,A)).
% 1.77/1.98 0 [] -line(L)|line(reverse_line(L)).
% 1.77/1.98 0 [] -distinct_points(A,B)| -apart_point_and_line(A,line_connecting(A,B)).
% 1.77/1.98 0 [] -distinct_points(A,B)| -apart_point_and_line(B,line_connecting(A,B)).
% 1.77/1.98 0 [] -une_qually_directed_lines(L,M)| -une_qually_directed_lines(L,reverse_line(M))| -apart_point_and_line(intersection_point(L,M),L).
% 1.77/1.98 0 [] -une_qually_directed_lines(L,M)| -une_qually_directed_lines(L,reverse_line(M))| -apart_point_and_line(intersection_point(L,M),M).
% 1.77/1.98 0 [] -apart_point_and_line(A,parallel_through_point(L,A)).
% 1.77/1.98 0 [] -distinct_lines(L,reverse_line(L)).
% 1.77/1.98 0 [] -une_qually_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))).
% 1.77/1.98 0 [] -une_qually_directed_lines(parallel_through_point(L,A),L).
% 1.77/1.98 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)).
% 1.77/1.98 0 [] -distinct_points(A,B)| -left_apart_point(A,L)|left_apart_point(B,L)|left_convergent_lines(line_connecting(A,B),L).
% 1.77/1.98 0 [] -left_apart_point(A,L)|distinct_points(A,B)|left_apart_point(B,L).
% 1.77/1.98 0 [] -left_apart_point(A,L)| -une_qually_directed_lines(L,M)|distinct_lines(L,M)|left_apart_point(A,reverse_line(M)).
% 1.77/1.98 0 [] -left_convergent_lines(L,M)|une_qually_directed_lines(M,N)|left_convergent_lines(L,N).
% 1.77/1.98 0 [] between_on_line($c6,$c3,$c2,$c1).
% 1.77/1.98 0 [] convergent_lines($c6,$c5).
% 1.77/1.98 0 [] convergent_lines($c6,$c4).
% 1.77/1.98 0 [] convergent_lines($c5,$c4).
% 1.77/1.98 0 [] -between_on_line($c5,intersection_point($c5,parallel_through_point($c4,$c3)),intersection_point($c5,parallel_through_point($c4,$c2)),intersection_point($c5,parallel_through_point($c4,$c1))).
% 1.77/1.98 end_of_list.
% 1.77/1.98
% 1.77/1.98 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=10.
% 1.77/1.98
% 1.77/1.98 This is a non-Horn set without equality. The strategy will
% 1.77/1.98 be ordered hyper_res, unit deletion, and factoring, with
% 1.77/1.98 satellites in sos and with nuclei in usable.
% 1.77/1.98
% 1.77/1.98 dependent: set(hyper_res).
% 1.77/1.98 dependent: set(factor).
% 1.77/1.98 dependent: set(unit_deletion).
% 1.77/1.98
% 1.77/1.98 ------------> process usable:
% 1.77/1.98 ** KEPT (pick-wt=10): 1 [] -apart_point_and_line(A,B)|left_apart_point(A,B)|left_apart_point(A,reverse_line(B)).
% 1.77/1.98 ** KEPT (pick-wt=6): 2 [] apart_point_and_line(A,B)| -left_apart_point(A,B).
% 1.77/1.98 ** KEPT (pick-wt=7): 3 [] apart_point_and_line(A,B)| -left_apart_point(A,reverse_line(B)).
% 1.77/1.98 ** KEPT (pick-wt=6): 4 [] -convergent_lines(A,B)|une_qually_directed_lines(A,B).
% 1.77/1.98 ** KEPT (pick-wt=7): 5 [] -convergent_lines(A,B)|une_qually_directed_lines(A,reverse_line(B)).
% 1.77/1.98 ** KEPT (pick-wt=10): 6 [] convergent_lines(A,B)| -une_qually_directed_lines(A,B)| -une_qually_directed_lines(A,reverse_line(B)).
% 1.77/1.98 ** KEPT (pick-wt=11): 7 [] -divides_points(A,B,C)|left_apart_point(B,A)|left_apart_point(B,reverse_line(A)).
% 1.77/1.98 ** KEPT (pick-wt=10): 8 [] -divides_points(A,B,C)|left_apart_point(B,A)|left_apart_point(C,A).
% 1.77/1.98 ** KEPT (pick-wt=12): 9 [] -divides_points(A,B,C)|left_apart_point(C,reverse_line(A))|left_apart_point(B,reverse_line(A)).
% 1.77/1.98 ** KEPT (pick-wt=11): 10 [] -divides_points(A,B,C)|left_apart_point(C,reverse_line(A))|left_apart_point(C,A).
% 1.77/1.98 ** KEPT (pick-wt=11): 11 [] divides_points(A,B,C)| -left_apart_point(B,A)| -left_apart_point(C,reverse_line(A)).
% 1.77/1.98 ** KEPT (pick-wt=11): 12 [] divides_points(A,B,C)| -left_apart_point(B,reverse_line(A))| -left_apart_point(C,A).
% 1.77/1.98 ** KEPT (pick-wt=7): 13 [] -before_on_line(A,B,C)|distinct_points(B,C).
% 1.77/1.98 ** KEPT (pick-wt=7): 14 [] -before_on_line(A,B,C)| -left_apart_point(B,A).
% 1.77/1.98 ** KEPT (pick-wt=8): 15 [] -before_on_line(A,B,C)| -left_apart_point(B,reverse_line(A)).
% 1.77/1.98 ** KEPT (pick-wt=7): 16 [] -before_on_line(A,B,C)| -left_apart_point(C,A).
% 1.77/1.98 ** KEPT (pick-wt=8): 17 [] -before_on_line(A,B,C)| -left_apart_point(C,reverse_line(A)).
% 1.77/1.98 ** KEPT (pick-wt=9): 18 [] -before_on_line(A,B,C)| -une_qually_directed_lines(A,line_connecting(B,C)).
% 1.77/1.98 ** 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)).
% 1.77/1.98 ** KEPT (pick-wt=13): 20 [] -between_on_line(A,B,C,D)|before_on_line(A,B,C)|before_on_line(A,D,C).
% 1.77/1.98 ** KEPT (pick-wt=13): 21 [] -between_on_line(A,B,C,D)|before_on_line(A,B,C)|before_on_line(A,C,B).
% 1.77/1.98 ** KEPT (pick-wt=13): 22 [] -between_on_line(A,B,C,D)|before_on_line(A,C,D)|before_on_line(A,D,C).
% 1.77/1.98 ** KEPT (pick-wt=13): 23 [] -between_on_line(A,B,C,D)|before_on_line(A,C,D)|before_on_line(A,C,B).
% 1.77/1.98 ** KEPT (pick-wt=13): 24 [] between_on_line(A,B,C,D)| -before_on_line(A,B,C)| -before_on_line(A,C,D).
% 1.77/1.98 ** KEPT (pick-wt=13): 25 [] between_on_line(A,B,C,D)| -before_on_line(A,D,C)| -before_on_line(A,C,B).
% 1.77/1.98 ** KEPT (pick-wt=3): 26 [] -distinct_points(A,A).
% 1.77/1.98 ** KEPT (pick-wt=9): 27 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.77/1.98 ** KEPT (pick-wt=3): 28 [] -distinct_lines(A,A).
% 1.77/1.98 ** KEPT (pick-wt=9): 29 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 1.77/1.98 ** KEPT (pick-wt=3): 30 [] -une_qually_directed_lines(A,A).
% 1.77/1.98 ** KEPT (pick-wt=9): 31 [] -une_qually_directed_lines(A,B)|une_qually_directed_lines(A,C)|une_qually_directed_lines(B,C).
% 1.77/1.98 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).
% 1.77/1.98 ** 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)).
% 1.77/1.98 ** 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).
% 1.77/1.98 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)).
% 1.77/1.98 ** KEPT (pick-wt=11): 34 [] -line(A)| -line(B)|une_qually_directed_lines(A,B)|une_qually_directed_lines(A,reverse_line(B)).
% 1.77/1.98 ** 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)).
% 1.77/1.98 ** KEPT (pick-wt=3): 36 [] -left_apart_point(A,B).
% 1.77/1.98 Following clause subsumed by 36 during input processing: 0 [] -left_apart_point(A,reverse_line(B)).
% 1.77/1.98 ** KEPT (pick-wt=3): 37 [] -left_convergent_lines(A,B).
% 1.77/1.98 Following clause subsumed by 37 during input processing: 0 [] -left_convergent_lines(A,reverse_line(B)).
% 1.77/1.98 ** KEPT (pick-wt=11): 38 [] -point(A)| -point(B)| -distinct_points(A,B)|line(line_connecting(A,B)).
% 1.77/1.98 ** 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)).
% 1.77/1.98 ** KEPT (pick-wt=8): 40 [] -point(A)| -line(B)|line(parallel_through_point(B,A)).
% 1.77/1.98 ** KEPT (pick-wt=5): 41 [] -line(A)|line(reverse_line(A)).
% 1.77/1.98 ** KEPT (pick-wt=8): 42 [] -distinct_points(A,B)| -apart_point_and_line(A,line_connecting(A,B)).
% 1.77/1.98 ** KEPT (pick-wt=8): 43 [] -distinct_points(A,B)| -apart_point_and_line(B,line_connecting(A,B)).
% 1.77/1.98 ** 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).
% 1.77/1.98 ** 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).
% 1.77/1.98 ** KEPT (pick-wt=5): 46 [] -apart_point_and_line(A,parallel_through_point(B,A)).
% 1.77/1.98 ** KEPT (pick-wt=4): 47 [] -distinct_lines(A,reverse_line(A)).
% 1.77/1.98 ** KEPT (pick-wt=8): 48 [] -une_qually_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))).
% 1.77/1.98 ** KEPT (pick-wt=5): 49 [] -une_qually_directed_lines(parallel_through_point(A,B),A).
% 1.77/1.98 ** 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).
% 1.77/1.98 Following clause subsumed by 36 during input processing: 0 [unit_del,36,37] -distinct_points(A,B)| -left_apart_point(A,C).
% 1.77/1.98 Following clause subsumed by 36 during input processing: 0 [unit_del,36] -left_apart_point(A,B)|distinct_points(A,C).
% 1.77/1.98 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).
% 1.77/1.98 Following clause subsumed by 37 during input processing: 0 [unit_del,37] -left_convergent_lines(A,B)|une_qually_directed_lines(B,C).
% 1.77/1.98 ** KEPT (pick-wt=17): 52 [] -between_on_line($c5,intersection_point($c5,parallel_through_point($c4,$c3)),intersection_point($c5,parallel_through_point($c4,$c2)),intersection_point($c5,parallel_through_point($c4,$c1))).
% 1.77/1.98 36 back subsumes 17.
% 1.77/1.98 36 back subsumes 16.
% 1.77/1.98 36 back subsumes 15.
% 1.77/1.98 36 back subsumes 14.
% 1.77/1.98 36 back subsumes 12.
% 1.77/1.98 36 back subsumes 11.
% 1.77/1.98 36 back subsumes 3.
% 1.77/1.98 36 back subsumes 2.
% 1.77/1.98
% 1.77/1.98 ------------> process sos:
% 1.77/1.98 ** KEPT (pick-wt=5): 60 [] between_on_line($c6,$c3,$c2,$c1).
% 1.77/1.98 ** KEPT (pick-wt=3): 61 [] convergent_lines($c6,$c5).
% 1.77/1.98 ** KEPT (pick-wt=3): 62 [] convergent_lines($c6,$c4).
% 1.77/1.98 ** KEPT (pick-wt=3): 63 [] convergent_lines($c5,$c4).
% 1.77/1.98
% 1.77/1.98 ======= end of input processing =======
% 1.77/1.98
% 1.77/1.98 =========== start of search ===========
% 1.77/1.98
% 1.77/1.98 -------- PROOF --------
% 1.77/1.98
% 1.77/1.98 -----> EMPTY CLAUSE at 0.00 sec ----> 79 [hyper,68,35,69,unit_del,37,37] $F.
% 1.77/1.98
% 1.77/1.98 Length of proof is 2. Level of proof is 1.
% 1.77/1.98
% 1.77/1.98 ---------------- PROOF ----------------
% 1.77/1.98 % SZS status Theorem
% 1.77/1.98 % SZS output start Refutation
% See solution above
% 1.77/1.98 ------------ end of proof -------------
% 1.77/1.98
% 1.77/1.98
% 1.77/1.98 Search stopped by max_proofs option.
% 1.77/1.98
% 1.77/1.98
% 1.77/1.98 Search stopped by max_proofs option.
% 1.77/1.98
% 1.77/1.98 ============ end of search ============
% 1.77/1.98
% 1.77/1.98 -------------- statistics -------------
% 1.77/1.98 clauses given 9
% 1.77/1.98 clauses generated 32
% 1.77/1.98 clauses kept 77
% 1.77/1.98 clauses forward subsumed 17
% 1.77/1.98 clauses back subsumed 8
% 1.77/1.98 Kbytes malloced 976
% 1.77/1.98
% 1.77/1.98 ----------- times (seconds) -----------
% 1.77/1.98 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.77/1.98 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.77/1.98 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.77/1.98
% 1.77/1.98 That finishes the proof of the theorem.
% 1.77/1.98
% 1.77/1.98 Process 30808 finished Wed Jul 27 07:05:41 2022
% 1.77/1.98 Otter interrupted
% 1.77/1.98 PROOF FOUND
%------------------------------------------------------------------------------