TSTP Solution File: GEO198+3 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO198+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n024.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 12:54:46 EDT 2022
% Result : Theorem 15.24s 15.44s
% Output : Refutation 15.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 28 ( 11 unt; 15 nHn; 8 RR)
% Number of literals : 55 ( 0 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ convergent_lines(A,A),
file('GEO198+3.p',unknown),
[] ).
cnf(6,axiom,
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
file('GEO198+3.p',unknown),
[] ).
cnf(13,axiom,
( ~ apart_point_and_line(A,B)
| distinct_lines(B,C)
| apart_point_and_line(A,C) ),
file('GEO198+3.p',unknown),
[] ).
cnf(15,axiom,
( ~ distinct_lines(A,B)
| convergent_lines(A,B) ),
file('GEO198+3.p',unknown),
[] ).
cnf(18,axiom,
( ~ convergent_lines(A,B)
| ~ unorthogonal_lines(A,B)
| convergent_lines(A,C)
| unorthogonal_lines(B,C) ),
file('GEO198+3.p',unknown),
[] ).
cnf(20,axiom,
( ~ convergent_lines(A,B)
| ~ unorthogonal_lines(A,B)
| unorthogonal_lines(A,C)
| unorthogonal_lines(B,C) ),
file('GEO198+3.p',unknown),
[] ).
cnf(21,axiom,
~ unorthogonal_lines(orthogonal_through_point(A,B),A),
file('GEO198+3.p',unknown),
[] ).
cnf(22,axiom,
~ apart_point_and_line(A,orthogonal_through_point(B,A)),
file('GEO198+3.p',unknown),
[] ).
cnf(28,axiom,
( unorthogonal_lines(A,B)
| unorthogonal_lines(A,C)
| ~ convergent_lines(B,C) ),
file('GEO198+3.p',unknown),
[] ).
cnf(37,axiom,
( ~ orthogonal_lines(A,B)
| ~ unorthogonal_lines(A,B) ),
file('GEO198+3.p',unknown),
[] ).
cnf(38,axiom,
~ incident_point_and_line(intersection_point(dollar_c3,dollar_c1),dollar_c2),
file('GEO198+3.p',unknown),
[] ).
cnf(39,axiom,
( convergent_lines(A,B)
| unorthogonal_lines(A,B) ),
file('GEO198+3.p',unknown),
[] ).
cnf(43,axiom,
( incident_point_and_line(A,B)
| apart_point_and_line(A,B) ),
file('GEO198+3.p',unknown),
[] ).
cnf(44,axiom,
( orthogonal_lines(A,B)
| unorthogonal_lines(A,B) ),
file('GEO198+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(59,plain,
( unorthogonal_lines(A,orthogonal_through_point(B,C))
| unorthogonal_lines(A,B) ),
inference(hyper,[status(thm)],[49,28]),
[iquote('hyper,49,28')] ).
cnf(61,plain,
( convergent_lines(orthogonal_through_point(A,B),C)
| convergent_lines(A,C) ),
inference(hyper,[status(thm)],[49,6]),
[iquote('hyper,49,6')] ).
cnf(62,plain,
apart_point_and_line(intersection_point(dollar_c3,dollar_c1),dollar_c2),
inference(hyper,[status(thm)],[43,38]),
[iquote('hyper,43,38')] ).
cnf(75,plain,
orthogonal_lines(orthogonal_through_point(A,B),A),
inference(hyper,[status(thm)],[44,21]),
[iquote('hyper,44,21')] ).
cnf(85,plain,
( distinct_lines(dollar_c2,A)
| apart_point_and_line(intersection_point(dollar_c3,dollar_c1),A) ),
inference(hyper,[status(thm)],[62,13]),
[iquote('hyper,62,13')] ).
cnf(518,plain,
convergent_lines(A,orthogonal_through_point(A,B)),
inference(hyper,[status(thm)],[61,3]),
[iquote('hyper,61,3')] ).
cnf(652,plain,
( convergent_lines(A,B)
| unorthogonal_lines(orthogonal_through_point(A,C),B)
| orthogonal_lines(A,orthogonal_through_point(A,C)) ),
inference(hyper,[status(thm)],[518,18,44]),
[iquote('hyper,518,18,44')] ).
cnf(939,plain,
( apart_point_and_line(intersection_point(dollar_c3,dollar_c1),A)
| convergent_lines(dollar_c2,A) ),
inference(hyper,[status(thm)],[85,15]),
[iquote('hyper,85,15')] ).
cnf(1408,plain,
( apart_point_and_line(intersection_point(dollar_c3,dollar_c1),orthogonal_through_point(A,B))
| unorthogonal_lines(dollar_c2,C)
| unorthogonal_lines(orthogonal_through_point(A,B),C)
| unorthogonal_lines(dollar_c2,A) ),
inference(hyper,[status(thm)],[939,20,59]),
[iquote('hyper,939,20,59')] ).
cnf(1421,plain,
( apart_point_and_line(intersection_point(dollar_c3,dollar_c1),orthogonal_through_point(A,B))
| unorthogonal_lines(dollar_c2,A) ),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[1408]),21]),
[iquote('factor,1408.2.4,unit_del,21')] ).
cnf(6677,plain,
orthogonal_lines(A,orthogonal_through_point(A,B)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[652,37,75]),3]),
[iquote('hyper,652,37,75,unit_del,3')] ).
cnf(6688,plain,
apart_point_and_line(intersection_point(dollar_c3,dollar_c1),orthogonal_through_point(orthogonal_through_point(dollar_c2,A),B)),
inference(hyper,[status(thm)],[6677,37,1421]),
[iquote('hyper,6677,37,1421')] ).
cnf(6689,plain,
$false,
inference(binary,[status(thm)],[6688,22]),
[iquote('binary,6688.1,22.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO198+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 07:08:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.83/2.00 ----- Otter 3.3f, August 2004 -----
% 1.83/2.00 The process was started by sandbox on n024.cluster.edu,
% 1.83/2.00 Wed Jul 27 07:08:40 2022
% 1.83/2.00 The command was "./otter". The process ID is 1658.
% 1.83/2.00
% 1.83/2.00 set(prolog_style_variables).
% 1.83/2.00 set(auto).
% 1.83/2.00 dependent: set(auto1).
% 1.83/2.00 dependent: set(process_input).
% 1.83/2.00 dependent: clear(print_kept).
% 1.83/2.00 dependent: clear(print_new_demod).
% 1.83/2.00 dependent: clear(print_back_demod).
% 1.83/2.00 dependent: clear(print_back_sub).
% 1.83/2.00 dependent: set(control_memory).
% 1.83/2.00 dependent: assign(max_mem, 12000).
% 1.83/2.00 dependent: assign(pick_given_ratio, 4).
% 1.83/2.00 dependent: assign(stats_level, 1).
% 1.83/2.00 dependent: assign(max_seconds, 10800).
% 1.83/2.00 clear(print_given).
% 1.83/2.00
% 1.83/2.00 formula_list(usable).
% 1.83/2.00 all X (-distinct_points(X,X)).
% 1.83/2.00 all X (-distinct_lines(X,X)).
% 1.83/2.00 all X (-convergent_lines(X,X)).
% 1.83/2.00 all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 1.83/2.00 all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 1.83/2.00 all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 1.83/2.00 all X Y (distinct_points(X,Y)-> -apart_point_and_line(X,line_connecting(X,Y))).
% 1.83/2.00 all X Y (distinct_points(X,Y)-> -apart_point_and_line(Y,line_connecting(X,Y))).
% 1.83/2.00 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),X)).
% 1.83/2.00 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),Y)).
% 1.83/2.00 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)).
% 1.83/2.00 all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 1.83/2.00 all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 1.83/2.00 all X Y Z (convergent_lines(X,Y)->distinct_lines(Y,Z)|convergent_lines(X,Z)).
% 1.83/2.00 all X Y (distinct_lines(X,Y)->convergent_lines(X,Y)).
% 1.83/2.00 all X Y (-convergent_lines(parallel_through_point(Y,X),Y)).
% 1.83/2.00 all X Y (-apart_point_and_line(X,parallel_through_point(Y,X))).
% 1.83/2.00 all X Y Z (distinct_lines(Y,Z)->apart_point_and_line(X,Y)|apart_point_and_line(X,Z)|convergent_lines(Y,Z)).
% 1.83/2.00 all L M (convergent_lines(L,M)|unorthogonal_lines(L,M)).
% 1.83/2.00 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)).
% 1.83/2.00 all A L (-unorthogonal_lines(orthogonal_through_point(L,A),L)).
% 1.83/2.00 all A L (-apart_point_and_line(A,orthogonal_through_point(L,A))).
% 1.83/2.00 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)).
% 1.83/2.00 all L M (-(-convergent_lines(L,M)& -unorthogonal_lines(L,M))).
% 1.83/2.00 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)).
% 1.83/2.00 all L M N (-unorthogonal_lines(L,M)& -unorthogonal_lines(L,N)-> -convergent_lines(M,N)).
% 1.83/2.00 all A B (point(A)&point(B)&distinct_points(A,B)->line(line_connecting(A,B))).
% 1.83/2.00 all L M (line(L)&line(M)&convergent_lines(L,M)->point(intersection_point(L,M))).
% 1.83/2.00 all L A (line(L)&point(A)->line(parallel_through_point(L,A))).
% 1.83/2.00 all L A (line(L)&point(A)->line(orthogonal_through_point(L,A))).
% 1.83/2.00 all X Y (e_qual_points(X,Y)<-> -distinct_points(X,Y)).
% 1.83/2.00 all X Y (e_qual_lines(X,Y)<-> -distinct_lines(X,Y)).
% 1.83/2.00 all X Y (parallel_lines(X,Y)<-> -convergent_lines(X,Y)).
% 1.83/2.00 all X Y (incident_point_and_line(X,Y)<-> -apart_point_and_line(X,Y)).
% 1.83/2.00 all X Y (orthogonal_lines(X,Y)<-> -unorthogonal_lines(X,Y)).
% 1.83/2.00 -(all X Y Z (convergent_lines(X,Y)&convergent_lines(Z,Y)&convergent_lines(X,Z)&incident_point_and_line(intersection_point(X,Y),Z)->incident_point_and_line(intersection_point(X,Z),Y))).
% 1.83/2.00 end_of_list.
% 1.83/2.00
% 1.83/2.00 -------> usable clausifies to:
% 1.83/2.00
% 1.83/2.00 list(usable).
% 1.83/2.00 0 [] -distinct_points(X,X).
% 1.83/2.00 0 [] -distinct_lines(X,X).
% 1.83/2.00 0 [] -convergent_lines(X,X).
% 1.83/2.00 0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 1.83/2.00 0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 1.83/2.00 0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 1.83/2.00 0 [] -distinct_points(X,Y)| -apart_point_and_line(X,line_connecting(X,Y)).
% 1.83/2.00 0 [] -distinct_points(X,Y)| -apart_point_and_line(Y,line_connecting(X,Y)).
% 1.83/2.00 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),X).
% 1.83/2.00 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),Y).
% 1.83/2.00 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).
% 1.83/2.00 0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 1.83/2.00 0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 1.83/2.00 0 [] -convergent_lines(X,Y)|distinct_lines(Y,Z)|convergent_lines(X,Z).
% 1.83/2.00 0 [] -distinct_lines(X,Y)|convergent_lines(X,Y).
% 1.83/2.00 0 [] -convergent_lines(parallel_through_point(Y,X),Y).
% 1.83/2.00 0 [] -apart_point_and_line(X,parallel_through_point(Y,X)).
% 1.83/2.00 0 [] -distinct_lines(Y,Z)|apart_point_and_line(X,Y)|apart_point_and_line(X,Z)|convergent_lines(Y,Z).
% 1.83/2.00 0 [] convergent_lines(L,M)|unorthogonal_lines(L,M).
% 1.83/2.00 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|convergent_lines(L,N)|convergent_lines(M,N).
% 1.83/2.00 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|convergent_lines(L,N)|unorthogonal_lines(M,N).
% 1.83/2.00 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|unorthogonal_lines(L,N)|convergent_lines(M,N).
% 1.83/2.00 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|unorthogonal_lines(L,N)|unorthogonal_lines(M,N).
% 1.83/2.00 0 [] -unorthogonal_lines(orthogonal_through_point(L,A),L).
% 1.83/2.00 0 [] -apart_point_and_line(A,orthogonal_through_point(L,A)).
% 1.83/2.00 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).
% 1.83/2.00 0 [] convergent_lines(L,M)|unorthogonal_lines(L,M).
% 1.83/2.00 0 [] convergent_lines(L,M)|convergent_lines(L,N)| -convergent_lines(M,N)| -unorthogonal_lines(M,N).
% 1.83/2.00 0 [] convergent_lines(L,M)|unorthogonal_lines(L,N)| -convergent_lines(M,N)| -unorthogonal_lines(M,N).
% 1.83/2.00 0 [] unorthogonal_lines(L,M)|convergent_lines(L,N)| -convergent_lines(M,N)| -unorthogonal_lines(M,N).
% 1.83/2.00 0 [] unorthogonal_lines(L,M)|unorthogonal_lines(L,N)| -convergent_lines(M,N)| -unorthogonal_lines(M,N).
% 1.83/2.00 0 [] unorthogonal_lines(L,M)|unorthogonal_lines(L,N)| -convergent_lines(M,N).
% 1.83/2.00 0 [] -point(A)| -point(B)| -distinct_points(A,B)|line(line_connecting(A,B)).
% 1.83/2.00 0 [] -line(L)| -line(M)| -convergent_lines(L,M)|point(intersection_point(L,M)).
% 1.83/2.00 0 [] -line(L)| -point(A)|line(parallel_through_point(L,A)).
% 1.83/2.00 0 [] -line(L)| -point(A)|line(orthogonal_through_point(L,A)).
% 1.83/2.00 0 [] -e_qual_points(X,Y)| -distinct_points(X,Y).
% 1.83/2.00 0 [] e_qual_points(X,Y)|distinct_points(X,Y).
% 1.83/2.00 0 [] -e_qual_lines(X,Y)| -distinct_lines(X,Y).
% 1.83/2.00 0 [] e_qual_lines(X,Y)|distinct_lines(X,Y).
% 1.83/2.00 0 [] -parallel_lines(X,Y)| -convergent_lines(X,Y).
% 1.83/2.00 0 [] parallel_lines(X,Y)|convergent_lines(X,Y).
% 1.83/2.00 0 [] -incident_point_and_line(X,Y)| -apart_point_and_line(X,Y).
% 1.83/2.00 0 [] incident_point_and_line(X,Y)|apart_point_and_line(X,Y).
% 1.83/2.00 0 [] -orthogonal_lines(X,Y)| -unorthogonal_lines(X,Y).
% 1.83/2.00 0 [] orthogonal_lines(X,Y)|unorthogonal_lines(X,Y).
% 1.83/2.00 0 [] convergent_lines($c3,$c2).
% 1.83/2.00 0 [] convergent_lines($c1,$c2).
% 1.83/2.00 0 [] convergent_lines($c3,$c1).
% 1.83/2.00 0 [] incident_point_and_line(intersection_point($c3,$c2),$c1).
% 1.83/2.00 0 [] -incident_point_and_line(intersection_point($c3,$c1),$c2).
% 1.83/2.00 end_of_list.
% 1.83/2.00
% 1.83/2.00 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.83/2.00
% 1.83/2.00 This is a non-Horn set without equality. The strategy will
% 1.83/2.00 be ordered hyper_res, unit deletion, and factoring, with
% 1.83/2.00 satellites in sos and with nuclei in usable.
% 1.83/2.00
% 1.83/2.00 dependent: set(hyper_res).
% 1.83/2.00 dependent: set(factor).
% 1.83/2.00 dependent: set(unit_deletion).
% 1.83/2.00
% 1.83/2.00 ------------> process usable:
% 1.83/2.00 ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 1.83/2.00 ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 1.83/2.00 ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 1.83/2.00 ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.83/2.00 ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 1.83/2.00 ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 1.83/2.00 ** KEPT (pick-wt=8): 7 [] -distinct_points(A,B)| -apart_point_and_line(A,line_connecting(A,B)).
% 1.83/2.00 ** KEPT (pick-wt=8): 8 [] -distinct_points(A,B)| -apart_point_and_line(B,line_connecting(A,B)).
% 1.83/2.00 ** KEPT (pick-wt=8): 9 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),A).
% 1.83/2.00 ** KEPT (pick-wt=8): 10 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),B).
% 1.83/2.00 ** 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).
% 1.83/2.00 ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 1.83/2.00 ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 1.83/2.00 ** KEPT (pick-wt=9): 14 [] -convergent_lines(A,B)|distinct_lines(B,C)|convergent_lines(A,C).
% 1.83/2.00 ** KEPT (pick-wt=6): 15 [] -distinct_lines(A,B)|convergent_lines(A,B).
% 1.83/2.00 ** KEPT (pick-wt=5): 16 [] -convergent_lines(parallel_through_point(A,B),A).
% 1.83/2.00 ** KEPT (pick-wt=5): 17 [] -apart_point_and_line(A,parallel_through_point(B,A)).
% 1.83/2.00 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).
% 1.83/2.00 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).
% 1.83/2.00 ** KEPT (pick-wt=12): 18 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|convergent_lines(A,C)|unorthogonal_lines(B,C).
% 1.83/2.00 ** KEPT (pick-wt=12): 19 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|unorthogonal_lines(A,C)|convergent_lines(B,C).
% 1.83/2.00 ** KEPT (pick-wt=12): 20 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|unorthogonal_lines(A,C)|unorthogonal_lines(B,C).
% 1.83/2.00 ** KEPT (pick-wt=5): 21 [] -unorthogonal_lines(orthogonal_through_point(A,B),A).
% 1.83/2.00 ** KEPT (pick-wt=5): 22 [] -apart_point_and_line(A,orthogonal_through_point(B,A)).
% 1.83/2.00 ** 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).
% 1.83/2.00 ** KEPT (pick-wt=12): 24 [] convergent_lines(A,B)|convergent_lines(A,C)| -convergent_lines(B,C)| -unorthogonal_lines(B,C).
% 1.83/2.00 ** KEPT (pick-wt=12): 25 [] convergent_lines(A,B)|unorthogonal_lines(A,C)| -convergent_lines(B,C)| -unorthogonal_lines(B,C).
% 1.83/2.00 ** KEPT (pick-wt=12): 26 [] unorthogonal_lines(A,B)|convergent_lines(A,C)| -convergent_lines(B,C)| -unorthogonal_lines(B,C).
% 1.83/2.00 ** KEPT (pick-wt=12): 27 [] unorthogonal_lines(A,B)|unorthogonal_lines(A,C)| -convergent_lines(B,C)| -unorthogonal_lines(B,C).
% 1.83/2.00 ** KEPT (pick-wt=9): 28 [] unorthogonal_lines(A,B)|unorthogonal_lines(A,C)| -convergent_lines(B,C).
% 1.83/2.00 ** KEPT (pick-wt=11): 29 [] -point(A)| -point(B)| -distinct_points(A,B)|line(line_connecting(A,B)).
% 1.83/2.00 ** KEPT (pick-wt=11): 30 [] -line(A)| -line(B)| -convergent_lines(A,B)|point(intersection_point(A,B)).
% 1.83/2.00 ** KEPT (pick-wt=8): 31 [] -line(A)| -point(B)|line(parallel_through_point(A,B)).
% 1.83/2.00 ** KEPT (pick-wt=8): 32 [] -line(A)| -point(B)|line(orthogonal_through_point(A,B)).
% 1.83/2.00 ** KEPT (pick-wt=6): 33 [] -e_qual_points(A,B)| -distinct_points(A,B).
% 1.83/2.00 ** KEPT (pick-wt=6): 34 [] -e_qual_lines(A,B)| -distinct_lines(A,B).
% 1.83/2.00 ** KEPT (pick-wt=6): 35 [] -parallel_lines(A,B)| -convergent_lines(A,B).
% 1.83/2.00 ** KEPT (pick-wt=6): 36 [] -incident_point_and_line(A,B)| -apart_point_and_line(A,B).
% 1.83/2.00 ** KEPT (pick-wt=6): 37 [] -orthogonal_lines(A,B)| -unorthogonal_lines(A,B).
% 1.83/2.00 ** KEPT (pick-wt=5): 38 [] -incident_point_and_line(intersection_point($c3,$c1),$c2).
% 1.83/2.00 28 back subsumes 27.
% 1.83/2.00
% 1.83/2.00 ------------> process sos:
% 1.83/2.00 ** KEPT (pick-wt=6): 39 [] convergent_lines(A,B)|unorthogonal_lines(A,B).
% 1.83/2.00 Following clause subsumed by 39 during input processing: 0 [] convergent_lines(A,B)|unorthogonal_lines(A,B).
% 1.83/2.00 ** KEPT (pick-wt=6): 40 [] e_qual_points(A,B)|distinct_points(A,B).
% 1.83/2.00 ** KEPT (pick-wt=6): 41 [] e_qual_lines(A,B)|distinct_lines(A,B).
% 1.83/2.00 ** KEPT (pick-wt=6): 42 [] parallel_lines(A,B)|convergent_lines(A,B).
% 1.83/2.00 ** KEPT (pick-wt=6): 43 [] incident_point_and_line(A,B)|apart_point_and_line(A,B).
% 1.83/2.00 ** KEPT (pick-wt=6): 44 [] orthogonal_lines(A,B)|unorthogonal_lines(A,B).
% 1.83/2.00 ** KEPT (pick-wt=3): 45 [] convergent_lines($c3,$c2).
% 1.83/2.00 ** KEPT (pick-wt=3): 46 [] convergent_lines($c1,$c2).
% 1.83/2.00 ** KEPT (pick-wt=3): 47 [] convergent_lines($c3,$c1).
% 1.83/2.00 ** KEPT (pick-wt=5): 48 [] incident_point_and_line(intersection_point($c3,$c2),$c1).
% 15.24/15.44
% 15.24/15.44 ======= end of input processing =======
% 15.24/15.44
% 15.24/15.44 =========== start of search ===========
% 15.24/15.44
% 15.24/15.44
% 15.24/15.44 Resetting weight limit to 10.
% 15.24/15.44
% 15.24/15.44
% 15.24/15.44 Resetting weight limit to 10.
% 15.24/15.44
% 15.24/15.44 sos_size=4573
% 15.24/15.44
% 15.24/15.44 -- HEY sandbox, WE HAVE A PROOF!! --
% 15.24/15.44
% 15.24/15.44 ----> UNIT CONFLICT at 13.44 sec ----> 6689 [binary,6688.1,22.1] $F.
% 15.24/15.44
% 15.24/15.44 Length of proof is 13. Level of proof is 6.
% 15.24/15.44
% 15.24/15.44 ---------------- PROOF ----------------
% 15.24/15.44 % SZS status Theorem
% 15.24/15.44 % SZS output start Refutation
% See solution above
% 15.24/15.44 ------------ end of proof -------------
% 15.24/15.44
% 15.24/15.44
% 15.24/15.44 Search stopped by max_proofs option.
% 15.24/15.44
% 15.24/15.44
% 15.24/15.44 Search stopped by max_proofs option.
% 15.24/15.44
% 15.24/15.44 ============ end of search ============
% 15.24/15.44
% 15.24/15.44 -------------- statistics -------------
% 15.24/15.44 clauses given 857
% 15.24/15.44 clauses generated 441698
% 15.24/15.44 clauses kept 6688
% 15.24/15.44 clauses forward subsumed 34498
% 15.24/15.44 clauses back subsumed 2208
% 15.24/15.44 Kbytes malloced 4882
% 15.24/15.44
% 15.24/15.44 ----------- times (seconds) -----------
% 15.24/15.44 user CPU time 13.44 (0 hr, 0 min, 13 sec)
% 15.24/15.44 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 15.24/15.44 wall-clock time 15 (0 hr, 0 min, 15 sec)
% 15.24/15.44
% 15.24/15.44 That finishes the proof of the theorem.
% 15.24/15.44
% 15.24/15.44 Process 1658 finished Wed Jul 27 07:08:55 2022
% 15.24/15.44 Otter interrupted
% 15.24/15.44 PROOF FOUND
%------------------------------------------------------------------------------