TSTP Solution File: GEO187+3 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO187+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n026.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 12:54:41 EDT 2022
% Result : Theorem 41.56s 41.75s
% Output : Refutation 41.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of clauses : 39 ( 13 unt; 23 nHn; 16 RR)
% Number of literals : 87 ( 0 equ; 18 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 67 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ distinct_points(A,A),
file('GEO187+3.p',unknown),
[] ).
cnf(2,axiom,
~ distinct_lines(A,A),
file('GEO187+3.p',unknown),
[] ).
cnf(3,axiom,
~ convergent_lines(A,A),
file('GEO187+3.p',unknown),
[] ).
cnf(4,axiom,
( ~ distinct_points(A,B)
| distinct_points(A,C)
| distinct_points(B,C) ),
file('GEO187+3.p',unknown),
[] ).
cnf(5,axiom,
( ~ distinct_lines(A,B)
| distinct_lines(A,C)
| distinct_lines(B,C) ),
file('GEO187+3.p',unknown),
[] ).
cnf(7,axiom,
( ~ distinct_points(A,B)
| ~ apart_point_and_line(A,line_connecting(A,B)) ),
file('GEO187+3.p',unknown),
[] ).
cnf(8,axiom,
( ~ distinct_points(A,B)
| ~ apart_point_and_line(B,line_connecting(A,B)) ),
file('GEO187+3.p',unknown),
[] ).
cnf(11,axiom,
( ~ 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) ),
file('GEO187+3.p',unknown),
[] ).
cnf(13,axiom,
( ~ apart_point_and_line(A,B)
| distinct_lines(B,C)
| apart_point_and_line(A,C) ),
file('GEO187+3.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(A,B)
| distinct_lines(B,C)
| convergent_lines(A,C) ),
file('GEO187+3.p',unknown),
[] ).
cnf(15,axiom,
( ~ distinct_lines(A,B)
| convergent_lines(A,B) ),
file('GEO187+3.p',unknown),
[] ).
cnf(16,axiom,
~ convergent_lines(parallel_through_point(A,B),A),
file('GEO187+3.p',unknown),
[] ).
cnf(17,axiom,
~ apart_point_and_line(A,parallel_through_point(B,A)),
file('GEO187+3.p',unknown),
[] ).
cnf(21,axiom,
~ unorthogonal_lines(orthogonal_through_point(A,B),A),
file('GEO187+3.p',unknown),
[] ).
cnf(22,axiom,
~ apart_point_and_line(A,orthogonal_through_point(B,A)),
file('GEO187+3.p',unknown),
[] ).
cnf(39,axiom,
( convergent_lines(A,B)
| unorthogonal_lines(A,B) ),
file('GEO187+3.p',unknown),
[] ).
cnf(46,axiom,
distinct_points(dollar_c2,dollar_c1),
file('GEO187+3.p',unknown),
[] ).
cnf(49,plain,
convergent_lines(orthogonal_through_point(A,B),A),
inference(hyper,[status(thm)],[39,21]),
[iquote('hyper,39,21')] ).
cnf(51,plain,
( distinct_points(dollar_c2,A)
| distinct_points(dollar_c1,A) ),
inference(hyper,[status(thm)],[46,4]),
[iquote('hyper,46,4')] ).
cnf(53,plain,
( distinct_lines(A,B)
| convergent_lines(orthogonal_through_point(A,C),B) ),
inference(hyper,[status(thm)],[49,14]),
[iquote('hyper,49,14')] ).
cnf(63,plain,
( distinct_points(dollar_c1,A)
| distinct_points(dollar_c2,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[51,4]),
[iquote('hyper,51,4')] ).
cnf(64,plain,
distinct_points(dollar_c1,dollar_c2),
inference(hyper,[status(thm)],[51,1]),
[iquote('hyper,51,1')] ).
cnf(69,plain,
( convergent_lines(orthogonal_through_point(A,B),C)
| apart_point_and_line(dollar_c1,A)
| apart_point_and_line(dollar_c1,C)
| apart_point_and_line(dollar_c2,A)
| apart_point_and_line(dollar_c2,C) ),
inference(hyper,[status(thm)],[53,11,64]),
[iquote('hyper,53,11,64')] ).
cnf(220,plain,
( distinct_points(dollar_c1,A)
| distinct_points(A,dollar_c2) ),
inference(hyper,[status(thm)],[63,1]),
[iquote('hyper,63,1')] ).
cnf(223,plain,
( distinct_points(dollar_c1,A)
| distinct_points(dollar_c2,B)
| distinct_points(A,C)
| distinct_points(B,C) ),
inference(hyper,[status(thm)],[63,4]),
[iquote('hyper,63,4')] ).
cnf(224,plain,
( distinct_points(dollar_c2,A)
| distinct_points(A,dollar_c1) ),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[223]),1]),
[iquote('factor,223.1.3,unit_del,1')] ).
cnf(227,plain,
( distinct_points(A,dollar_c2)
| distinct_points(dollar_c1,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[220,4]),
[iquote('hyper,220,4')] ).
cnf(408,plain,
( apart_point_and_line(dollar_c1,A)
| apart_point_and_line(dollar_c1,orthogonal_through_point(A,B))
| apart_point_and_line(dollar_c2,A)
| apart_point_and_line(dollar_c2,orthogonal_through_point(A,B)) ),
inference(hyper,[status(thm)],[69,3]),
[iquote('hyper,69,3')] ).
cnf(453,plain,
( distinct_points(A,dollar_c2)
| distinct_points(A,B)
| distinct_points(dollar_c1,C)
| distinct_points(B,C) ),
inference(hyper,[status(thm)],[227,4]),
[iquote('hyper,227,4')] ).
cnf(5079,plain,
( distinct_points(A,dollar_c2)
| distinct_points(A,B)
| distinct_points(B,dollar_c1) ),
inference(hyper,[status(thm)],[453,1]),
[iquote('hyper,453,1')] ).
cnf(5336,plain,
( apart_point_and_line(dollar_c1,A)
| apart_point_and_line(dollar_c2,A)
| apart_point_and_line(dollar_c2,orthogonal_through_point(A,dollar_c1)) ),
inference(hyper,[status(thm)],[408,22]),
[iquote('hyper,408,22')] ).
cnf(5340,plain,
( apart_point_and_line(dollar_c2,line_connecting(dollar_c2,dollar_c1))
| apart_point_and_line(dollar_c2,orthogonal_through_point(line_connecting(dollar_c2,dollar_c1),dollar_c1)) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5336,8,224]),1]),
[iquote('hyper,5336,8,224,unit_del,1')] ).
cnf(5358,plain,
apart_point_and_line(dollar_c2,orthogonal_through_point(line_connecting(dollar_c2,dollar_c1),dollar_c1)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5340,7,5079]),1,1]),
[iquote('hyper,5340,7,5079,unit_del,1,1')] ).
cnf(5359,plain,
( distinct_lines(orthogonal_through_point(line_connecting(dollar_c2,dollar_c1),dollar_c1),A)
| apart_point_and_line(dollar_c2,A) ),
inference(hyper,[status(thm)],[5358,13]),
[iquote('hyper,5358,13')] ).
cnf(5362,plain,
( apart_point_and_line(dollar_c2,A)
| distinct_lines(orthogonal_through_point(line_connecting(dollar_c2,dollar_c1),dollar_c1),B)
| distinct_lines(A,B) ),
inference(hyper,[status(thm)],[5359,5]),
[iquote('hyper,5359,5')] ).
cnf(5470,plain,
( apart_point_and_line(dollar_c2,A)
| distinct_lines(A,orthogonal_through_point(line_connecting(dollar_c2,dollar_c1),dollar_c1)) ),
inference(hyper,[status(thm)],[5362,2]),
[iquote('hyper,5362,2')] ).
cnf(5472,plain,
( apart_point_and_line(dollar_c2,A)
| convergent_lines(A,orthogonal_through_point(line_connecting(dollar_c2,dollar_c1),dollar_c1)) ),
inference(hyper,[status(thm)],[5470,15]),
[iquote('hyper,5470,15')] ).
cnf(5473,plain,
apart_point_and_line(dollar_c2,parallel_through_point(orthogonal_through_point(line_connecting(dollar_c2,dollar_c1),dollar_c1),A)),
inference(hyper,[status(thm)],[5472,16]),
[iquote('hyper,5472,16')] ).
cnf(5474,plain,
$false,
inference(binary,[status(thm)],[5473,17]),
[iquote('binary,5473.1,17.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO187+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n026.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 07:24:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.03/2.20 ----- Otter 3.3f, August 2004 -----
% 2.03/2.20 The process was started by sandbox on n026.cluster.edu,
% 2.03/2.20 Wed Jul 27 07:24:54 2022
% 2.03/2.20 The command was "./otter". The process ID is 16253.
% 2.03/2.20
% 2.03/2.20 set(prolog_style_variables).
% 2.03/2.20 set(auto).
% 2.03/2.20 dependent: set(auto1).
% 2.03/2.20 dependent: set(process_input).
% 2.03/2.20 dependent: clear(print_kept).
% 2.03/2.20 dependent: clear(print_new_demod).
% 2.03/2.20 dependent: clear(print_back_demod).
% 2.03/2.20 dependent: clear(print_back_sub).
% 2.03/2.20 dependent: set(control_memory).
% 2.03/2.20 dependent: assign(max_mem, 12000).
% 2.03/2.20 dependent: assign(pick_given_ratio, 4).
% 2.03/2.20 dependent: assign(stats_level, 1).
% 2.03/2.20 dependent: assign(max_seconds, 10800).
% 2.03/2.20 clear(print_given).
% 2.03/2.20
% 2.03/2.20 formula_list(usable).
% 2.03/2.20 all X (-distinct_points(X,X)).
% 2.03/2.20 all X (-distinct_lines(X,X)).
% 2.03/2.20 all X (-convergent_lines(X,X)).
% 2.03/2.20 all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 2.03/2.20 all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 2.03/2.20 all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 2.03/2.20 all X Y (distinct_points(X,Y)-> -apart_point_and_line(X,line_connecting(X,Y))).
% 2.03/2.20 all X Y (distinct_points(X,Y)-> -apart_point_and_line(Y,line_connecting(X,Y))).
% 2.03/2.20 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),X)).
% 2.03/2.20 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),Y)).
% 2.03/2.20 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)).
% 2.03/2.20 all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 2.03/2.20 all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 2.03/2.20 all X Y Z (convergent_lines(X,Y)->distinct_lines(Y,Z)|convergent_lines(X,Z)).
% 2.03/2.20 all X Y (distinct_lines(X,Y)->convergent_lines(X,Y)).
% 2.03/2.20 all X Y (-convergent_lines(parallel_through_point(Y,X),Y)).
% 2.03/2.20 all X Y (-apart_point_and_line(X,parallel_through_point(Y,X))).
% 2.03/2.20 all X Y Z (distinct_lines(Y,Z)->apart_point_and_line(X,Y)|apart_point_and_line(X,Z)|convergent_lines(Y,Z)).
% 2.03/2.20 all L M (convergent_lines(L,M)|unorthogonal_lines(L,M)).
% 2.03/2.20 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)).
% 2.03/2.20 all A L (-unorthogonal_lines(orthogonal_through_point(L,A),L)).
% 2.03/2.20 all A L (-apart_point_and_line(A,orthogonal_through_point(L,A))).
% 2.03/2.20 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)).
% 2.03/2.20 all L M (-(-convergent_lines(L,M)& -unorthogonal_lines(L,M))).
% 2.03/2.20 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)).
% 2.03/2.20 all L M N (-unorthogonal_lines(L,M)& -unorthogonal_lines(L,N)-> -convergent_lines(M,N)).
% 2.03/2.20 all A B (point(A)&point(B)&distinct_points(A,B)->line(line_connecting(A,B))).
% 2.03/2.20 all L M (line(L)&line(M)&convergent_lines(L,M)->point(intersection_point(L,M))).
% 2.03/2.20 all L A (line(L)&point(A)->line(parallel_through_point(L,A))).
% 2.03/2.20 all L A (line(L)&point(A)->line(orthogonal_through_point(L,A))).
% 2.03/2.20 all X Y (e_qual_points(X,Y)<-> -distinct_points(X,Y)).
% 2.03/2.20 all X Y (e_qual_lines(X,Y)<-> -distinct_lines(X,Y)).
% 2.03/2.20 all X Y (parallel_lines(X,Y)<-> -convergent_lines(X,Y)).
% 2.03/2.20 all X Y (incident_point_and_line(X,Y)<-> -apart_point_and_line(X,Y)).
% 2.03/2.20 all X Y (orthogonal_lines(X,Y)<-> -unorthogonal_lines(X,Y)).
% 2.03/2.20 -(all X Y U V (distinct_points(X,Y)&distinct_points(U,V)&incident_point_and_line(X,line_connecting(U,V))&incident_point_and_line(Y,line_connecting(U,V))->incident_point_and_line(U,line_connecting(X,Y))&incident_point_and_line(V,line_connecting(X,Y)))).
% 2.03/2.20 end_of_list.
% 2.03/2.20
% 2.03/2.20 -------> usable clausifies to:
% 2.03/2.20
% 2.03/2.20 list(usable).
% 2.03/2.20 0 [] -distinct_points(X,X).
% 2.03/2.20 0 [] -distinct_lines(X,X).
% 2.03/2.20 0 [] -convergent_lines(X,X).
% 2.03/2.20 0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 2.03/2.20 0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 2.03/2.20 0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 2.03/2.20 0 [] -distinct_points(X,Y)| -apart_point_and_line(X,line_connecting(X,Y)).
% 2.03/2.20 0 [] -distinct_points(X,Y)| -apart_point_and_line(Y,line_connecting(X,Y)).
% 2.03/2.21 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),X).
% 2.03/2.21 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),Y).
% 2.03/2.21 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).
% 2.03/2.21 0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 2.03/2.21 0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 2.03/2.21 0 [] -convergent_lines(X,Y)|distinct_lines(Y,Z)|convergent_lines(X,Z).
% 2.03/2.21 0 [] -distinct_lines(X,Y)|convergent_lines(X,Y).
% 2.03/2.21 0 [] -convergent_lines(parallel_through_point(Y,X),Y).
% 2.03/2.21 0 [] -apart_point_and_line(X,parallel_through_point(Y,X)).
% 2.03/2.21 0 [] -distinct_lines(Y,Z)|apart_point_and_line(X,Y)|apart_point_and_line(X,Z)|convergent_lines(Y,Z).
% 2.03/2.21 0 [] convergent_lines(L,M)|unorthogonal_lines(L,M).
% 2.03/2.21 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|convergent_lines(L,N)|convergent_lines(M,N).
% 2.03/2.21 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|convergent_lines(L,N)|unorthogonal_lines(M,N).
% 2.03/2.21 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|unorthogonal_lines(L,N)|convergent_lines(M,N).
% 2.03/2.21 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|unorthogonal_lines(L,N)|unorthogonal_lines(M,N).
% 2.03/2.21 0 [] -unorthogonal_lines(orthogonal_through_point(L,A),L).
% 2.03/2.21 0 [] -apart_point_and_line(A,orthogonal_through_point(L,A)).
% 2.03/2.21 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).
% 2.03/2.21 0 [] convergent_lines(L,M)|unorthogonal_lines(L,M).
% 2.03/2.21 0 [] convergent_lines(L,M)|convergent_lines(L,N)| -convergent_lines(M,N)| -unorthogonal_lines(M,N).
% 2.03/2.21 0 [] convergent_lines(L,M)|unorthogonal_lines(L,N)| -convergent_lines(M,N)| -unorthogonal_lines(M,N).
% 2.03/2.21 0 [] unorthogonal_lines(L,M)|convergent_lines(L,N)| -convergent_lines(M,N)| -unorthogonal_lines(M,N).
% 2.03/2.21 0 [] unorthogonal_lines(L,M)|unorthogonal_lines(L,N)| -convergent_lines(M,N)| -unorthogonal_lines(M,N).
% 2.03/2.21 0 [] unorthogonal_lines(L,M)|unorthogonal_lines(L,N)| -convergent_lines(M,N).
% 2.03/2.21 0 [] -point(A)| -point(B)| -distinct_points(A,B)|line(line_connecting(A,B)).
% 2.03/2.21 0 [] -line(L)| -line(M)| -convergent_lines(L,M)|point(intersection_point(L,M)).
% 2.03/2.21 0 [] -line(L)| -point(A)|line(parallel_through_point(L,A)).
% 2.03/2.21 0 [] -line(L)| -point(A)|line(orthogonal_through_point(L,A)).
% 2.03/2.21 0 [] -e_qual_points(X,Y)| -distinct_points(X,Y).
% 2.03/2.21 0 [] e_qual_points(X,Y)|distinct_points(X,Y).
% 2.03/2.21 0 [] -e_qual_lines(X,Y)| -distinct_lines(X,Y).
% 2.03/2.21 0 [] e_qual_lines(X,Y)|distinct_lines(X,Y).
% 2.03/2.21 0 [] -parallel_lines(X,Y)| -convergent_lines(X,Y).
% 2.03/2.21 0 [] parallel_lines(X,Y)|convergent_lines(X,Y).
% 2.03/2.21 0 [] -incident_point_and_line(X,Y)| -apart_point_and_line(X,Y).
% 2.03/2.21 0 [] incident_point_and_line(X,Y)|apart_point_and_line(X,Y).
% 2.03/2.21 0 [] -orthogonal_lines(X,Y)| -unorthogonal_lines(X,Y).
% 2.03/2.21 0 [] orthogonal_lines(X,Y)|unorthogonal_lines(X,Y).
% 2.03/2.21 0 [] distinct_points($c4,$c3).
% 2.03/2.21 0 [] distinct_points($c2,$c1).
% 2.03/2.21 0 [] incident_point_and_line($c4,line_connecting($c2,$c1)).
% 2.03/2.21 0 [] incident_point_and_line($c3,line_connecting($c2,$c1)).
% 2.03/2.21 0 [] -incident_point_and_line($c2,line_connecting($c4,$c3))| -incident_point_and_line($c1,line_connecting($c4,$c3)).
% 2.03/2.21 end_of_list.
% 2.03/2.21
% 2.03/2.21 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 2.03/2.21
% 2.03/2.21 This is a non-Horn set without equality. The strategy will
% 2.03/2.21 be ordered hyper_res, unit deletion, and factoring, with
% 2.03/2.21 satellites in sos and with nuclei in usable.
% 2.03/2.21
% 2.03/2.21 dependent: set(hyper_res).
% 2.03/2.21 dependent: set(factor).
% 2.03/2.21 dependent: set(unit_deletion).
% 2.03/2.21
% 2.03/2.21 ------------> process usable:
% 2.03/2.21 ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 2.03/2.21 ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 2.03/2.21 ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 2.03/2.21 ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 2.03/2.21 ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 2.03/2.21 ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 2.03/2.21 ** KEPT (pick-wt=8): 7 [] -distinct_points(A,B)| -apart_point_and_line(A,line_connecting(A,B)).
% 2.03/2.21 ** KEPT (pick-wt=8): 8 [] -distinct_points(A,B)| -apart_point_and_line(B,line_connecting(A,B)).
% 2.03/2.21 ** KEPT (pick-wt=8): 9 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),A).
% 2.03/2.21 ** KEPT (pick-wt=8): 10 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),B).
% 2.03/2.21 ** 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).
% 2.03/2.21 ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 2.03/2.21 ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 2.03/2.21 ** KEPT (pick-wt=9): 14 [] -convergent_lines(A,B)|distinct_lines(B,C)|convergent_lines(A,C).
% 2.03/2.21 ** KEPT (pick-wt=6): 15 [] -distinct_lines(A,B)|convergent_lines(A,B).
% 2.03/2.21 ** KEPT (pick-wt=5): 16 [] -convergent_lines(parallel_through_point(A,B),A).
% 2.03/2.21 ** KEPT (pick-wt=5): 17 [] -apart_point_and_line(A,parallel_through_point(B,A)).
% 2.03/2.21 Following clause subsumed by 15 during input processing: 0 [] -distinct_lines(A,B)|apart_point_and_line(C,A)|apart_point_and_line(C,B)|convergent_lines(A,B).
% 2.03/2.21 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).
% 2.03/2.21 ** KEPT (pick-wt=12): 18 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|convergent_lines(A,C)|unorthogonal_lines(B,C).
% 2.03/2.21 ** KEPT (pick-wt=12): 19 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|unorthogonal_lines(A,C)|convergent_lines(B,C).
% 2.03/2.21 ** KEPT (pick-wt=12): 20 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|unorthogonal_lines(A,C)|unorthogonal_lines(B,C).
% 2.03/2.21 ** KEPT (pick-wt=5): 21 [] -unorthogonal_lines(orthogonal_through_point(A,B),A).
% 2.03/2.21 ** KEPT (pick-wt=5): 22 [] -apart_point_and_line(A,orthogonal_through_point(B,A)).
% 2.03/2.21 ** 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).
% 2.03/2.21 ** KEPT (pick-wt=12): 24 [] convergent_lines(A,B)|convergent_lines(A,C)| -convergent_lines(B,C)| -unorthogonal_lines(B,C).
% 2.03/2.21 ** KEPT (pick-wt=12): 25 [] convergent_lines(A,B)|unorthogonal_lines(A,C)| -convergent_lines(B,C)| -unorthogonal_lines(B,C).
% 2.03/2.21 ** KEPT (pick-wt=12): 26 [] unorthogonal_lines(A,B)|convergent_lines(A,C)| -convergent_lines(B,C)| -unorthogonal_lines(B,C).
% 2.03/2.21 ** KEPT (pick-wt=12): 27 [] unorthogonal_lines(A,B)|unorthogonal_lines(A,C)| -convergent_lines(B,C)| -unorthogonal_lines(B,C).
% 2.03/2.21 ** KEPT (pick-wt=9): 28 [] unorthogonal_lines(A,B)|unorthogonal_lines(A,C)| -convergent_lines(B,C).
% 2.03/2.21 ** KEPT (pick-wt=11): 29 [] -point(A)| -point(B)| -distinct_points(A,B)|line(line_connecting(A,B)).
% 2.03/2.21 ** KEPT (pick-wt=11): 30 [] -line(A)| -line(B)| -convergent_lines(A,B)|point(intersection_point(A,B)).
% 2.03/2.21 ** KEPT (pick-wt=8): 31 [] -line(A)| -point(B)|line(parallel_through_point(A,B)).
% 2.03/2.21 ** KEPT (pick-wt=8): 32 [] -line(A)| -point(B)|line(orthogonal_through_point(A,B)).
% 2.03/2.21 ** KEPT (pick-wt=6): 33 [] -e_qual_points(A,B)| -distinct_points(A,B).
% 2.03/2.21 ** KEPT (pick-wt=6): 34 [] -e_qual_lines(A,B)| -distinct_lines(A,B).
% 2.03/2.21 ** KEPT (pick-wt=6): 35 [] -parallel_lines(A,B)| -convergent_lines(A,B).
% 2.03/2.21 ** KEPT (pick-wt=6): 36 [] -incident_point_and_line(A,B)| -apart_point_and_line(A,B).
% 2.03/2.21 ** KEPT (pick-wt=6): 37 [] -orthogonal_lines(A,B)| -unorthogonal_lines(A,B).
% 2.03/2.21 ** KEPT (pick-wt=10): 38 [] -incident_point_and_line($c2,line_connecting($c4,$c3))| -incident_point_and_line($c1,line_connecting($c4,$c3)).
% 2.03/2.21 28 back subsumes 27.
% 2.03/2.21
% 2.03/2.21 ------------> process sos:
% 2.03/2.21 ** KEPT (pick-wt=6): 39 [] convergent_lines(A,B)|unorthogonal_lines(A,B).
% 2.03/2.21 Following clause subsumed by 39 during input processing: 0 [] convergent_lines(A,B)|unorthogonal_lines(A,B).
% 2.03/2.21 ** KEPT (pick-wt=6): 40 [] e_qual_points(A,B)|distinct_points(A,B).
% 2.03/2.21 ** KEPT (pick-wt=6): 41 [] e_qual_lines(A,B)|distinct_lines(A,B).
% 2.03/2.21 ** KEPT (pick-wt=6): 42 [] parallel_lines(A,B)|convergent_lines(A,B).
% 2.03/2.21 ** KEPT (pick-wt=6): 43 [] incident_point_and_line(A,B)|apart_point_and_line(A,B).
% 2.03/2.21 ** KEPT (pick-wt=6): 44 [] orthogonal_lines(A,B)|unorthogonal_lines(A,B).
% 2.03/2.21 ** KEPT (pick-wt=3): 45 [] distinct_points($c4,$c3).
% 41.56/41.75 ** KEPT (pick-wt=3): 46 [] distinct_points($c2,$c1).
% 41.56/41.75 ** KEPT (pick-wt=5): 47 [] incident_point_and_line($c4,line_connecting($c2,$c1)).
% 41.56/41.75 ** KEPT (pick-wt=5): 48 [] incident_point_and_line($c3,line_connecting($c2,$c1)).
% 41.56/41.75
% 41.56/41.75 ======= end of input processing =======
% 41.56/41.75
% 41.56/41.75 =========== start of search ===========
% 41.56/41.75
% 41.56/41.75
% 41.56/41.75 Resetting weight limit to 14.
% 41.56/41.75
% 41.56/41.75
% 41.56/41.75 Resetting weight limit to 14.
% 41.56/41.75
% 41.56/41.75 sos_size=3350
% 41.56/41.75
% 41.56/41.75
% 41.56/41.75 Resetting weight limit to 13.
% 41.56/41.75
% 41.56/41.75
% 41.56/41.75 Resetting weight limit to 13.
% 41.56/41.75
% 41.56/41.75 sos_size=3118
% 41.56/41.75
% 41.56/41.75 -- HEY sandbox, WE HAVE A PROOF!! --
% 41.56/41.75
% 41.56/41.75 ----> UNIT CONFLICT at 39.52 sec ----> 5474 [binary,5473.1,17.1] $F.
% 41.56/41.75
% 41.56/41.75 Length of proof is 21. Level of proof is 12.
% 41.56/41.75
% 41.56/41.75 ---------------- PROOF ----------------
% 41.56/41.75 % SZS status Theorem
% 41.56/41.75 % SZS output start Refutation
% See solution above
% 41.56/41.75 ------------ end of proof -------------
% 41.56/41.75
% 41.56/41.75
% 41.56/41.75 Search stopped by max_proofs option.
% 41.56/41.75
% 41.56/41.75
% 41.56/41.75 Search stopped by max_proofs option.
% 41.56/41.75
% 41.56/41.75 ============ end of search ============
% 41.56/41.75
% 41.56/41.75 -------------- statistics -------------
% 41.56/41.75 clauses given 1008
% 41.56/41.75 clauses generated 1515502
% 41.56/41.75 clauses kept 5473
% 41.56/41.75 clauses forward subsumed 20117
% 41.56/41.75 clauses back subsumed 2698
% 41.56/41.75 Kbytes malloced 5859
% 41.56/41.75
% 41.56/41.75 ----------- times (seconds) -----------
% 41.56/41.75 user CPU time 39.52 (0 hr, 0 min, 39 sec)
% 41.56/41.75 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 41.56/41.75 wall-clock time 41 (0 hr, 0 min, 41 sec)
% 41.56/41.75
% 41.56/41.75 That finishes the proof of the theorem.
% 41.56/41.75
% 41.56/41.75 Process 16253 finished Wed Jul 27 07:25:35 2022
% 41.56/41.75 Otter interrupted
% 41.56/41.75 PROOF FOUND
%------------------------------------------------------------------------------