TSTP Solution File: GEO217+3 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO217+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n018.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 12:54:52 EDT 2022
% Result : Theorem 2.61s 2.84s
% Output : Refutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of clauses : 36 ( 16 unt; 18 nHn; 13 RR)
% Number of literals : 67 ( 0 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
~ distinct_lines(A,A),
file('GEO217+3.p',unknown),
[] ).
cnf(3,axiom,
~ convergent_lines(A,A),
file('GEO217+3.p',unknown),
[] ).
cnf(5,axiom,
( ~ distinct_lines(A,B)
| distinct_lines(A,C)
| distinct_lines(B,C) ),
file('GEO217+3.p',unknown),
[] ).
cnf(6,axiom,
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
file('GEO217+3.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(A,B)
| distinct_lines(B,C)
| convergent_lines(A,C) ),
file('GEO217+3.p',unknown),
[] ).
cnf(15,axiom,
( ~ distinct_lines(A,B)
| convergent_lines(A,B) ),
file('GEO217+3.p',unknown),
[] ).
cnf(20,axiom,
( ~ convergent_lines(A,B)
| ~ unorthogonal_lines(A,B)
| unorthogonal_lines(A,C)
| unorthogonal_lines(B,C) ),
file('GEO217+3.p',unknown),
[] ).
cnf(21,axiom,
~ unorthogonal_lines(orthogonal_through_point(A,B),A),
file('GEO217+3.p',unknown),
[] ).
cnf(24,axiom,
( convergent_lines(A,B)
| convergent_lines(A,C)
| ~ convergent_lines(B,C)
| ~ unorthogonal_lines(B,C) ),
file('GEO217+3.p',unknown),
[] ).
cnf(28,axiom,
( unorthogonal_lines(A,B)
| unorthogonal_lines(A,C)
| ~ convergent_lines(B,C) ),
file('GEO217+3.p',unknown),
[] ).
cnf(35,axiom,
( ~ parallel_lines(A,B)
| ~ convergent_lines(A,B) ),
file('GEO217+3.p',unknown),
[] ).
cnf(38,axiom,
~ parallel_lines(dollar_c2,dollar_c1),
file('GEO217+3.p',unknown),
[] ).
cnf(39,axiom,
( convergent_lines(A,B)
| unorthogonal_lines(A,B) ),
file('GEO217+3.p',unknown),
[] ).
cnf(42,axiom,
( parallel_lines(A,B)
| convergent_lines(A,B) ),
file('GEO217+3.p',unknown),
[] ).
cnf(45,axiom,
parallel_lines(dollar_c3,dollar_c2),
file('GEO217+3.p',unknown),
[] ).
cnf(46,axiom,
parallel_lines(dollar_c3,dollar_c1),
file('GEO217+3.p',unknown),
[] ).
cnf(47,plain,
convergent_lines(orthogonal_through_point(A,B),A),
inference(hyper,[status(thm)],[39,21]),
[iquote('hyper,39,21')] ).
cnf(48,plain,
( unorthogonal_lines(A,orthogonal_through_point(B,C))
| unorthogonal_lines(A,B) ),
inference(hyper,[status(thm)],[47,28]),
[iquote('hyper,47,28')] ).
cnf(50,plain,
( convergent_lines(orthogonal_through_point(A,B),C)
| convergent_lines(A,C) ),
inference(hyper,[status(thm)],[47,6]),
[iquote('hyper,47,6')] ).
cnf(51,plain,
convergent_lines(dollar_c2,dollar_c1),
inference(hyper,[status(thm)],[42,38]),
[iquote('hyper,42,38')] ).
cnf(53,plain,
( distinct_lines(dollar_c1,A)
| convergent_lines(dollar_c2,A) ),
inference(hyper,[status(thm)],[51,14]),
[iquote('hyper,51,14')] ).
cnf(94,plain,
( convergent_lines(dollar_c2,A)
| distinct_lines(dollar_c1,B)
| distinct_lines(A,B) ),
inference(hyper,[status(thm)],[53,5]),
[iquote('hyper,53,5')] ).
cnf(202,plain,
convergent_lines(A,orthogonal_through_point(A,B)),
inference(hyper,[status(thm)],[50,3]),
[iquote('hyper,50,3')] ).
cnf(204,plain,
convergent_lines(orthogonal_through_point(dollar_c3,A),dollar_c2),
inference(hyper,[status(thm)],[50,35,45]),
[iquote('hyper,50,35,45')] ).
cnf(273,plain,
( unorthogonal_lines(A,B)
| unorthogonal_lines(orthogonal_through_point(A,C),B)
| unorthogonal_lines(A,A) ),
inference(hyper,[status(thm)],[202,20,48]),
[iquote('hyper,202,20,48')] ).
cnf(281,plain,
unorthogonal_lines(A,A),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[273]),21]),
[iquote('factor,273.1.3,unit_del,21')] ).
cnf(321,plain,
( convergent_lines(orthogonal_through_point(dollar_c3,A),B)
| convergent_lines(dollar_c2,B) ),
inference(hyper,[status(thm)],[204,6]),
[iquote('hyper,204,6')] ).
cnf(912,plain,
convergent_lines(dollar_c2,orthogonal_through_point(dollar_c3,A)),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[321,24,281])])]),
[iquote('hyper,321,24,281,factor_simp,factor_simp')] ).
cnf(1026,plain,
( unorthogonal_lines(dollar_c2,A)
| unorthogonal_lines(orthogonal_through_point(dollar_c3,B),A)
| unorthogonal_lines(dollar_c2,dollar_c3) ),
inference(hyper,[status(thm)],[912,20,48]),
[iquote('hyper,912,20,48')] ).
cnf(1039,plain,
unorthogonal_lines(dollar_c2,dollar_c3),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[1026]),21]),
[iquote('factor,1026.1.3,unit_del,21')] ).
cnf(2065,plain,
( convergent_lines(dollar_c2,A)
| distinct_lines(A,dollar_c1) ),
inference(hyper,[status(thm)],[94,2]),
[iquote('hyper,94,2')] ).
cnf(2072,plain,
( convergent_lines(dollar_c2,A)
| convergent_lines(A,dollar_c1) ),
inference(hyper,[status(thm)],[2065,15]),
[iquote('hyper,2065,15')] ).
cnf(2224,plain,
convergent_lines(dollar_c2,dollar_c3),
inference(hyper,[status(thm)],[2072,35,46]),
[iquote('hyper,2072,35,46')] ).
cnf(2301,plain,
( convergent_lines(A,dollar_c2)
| convergent_lines(A,dollar_c3) ),
inference(hyper,[status(thm)],[2224,24,1039]),
[iquote('hyper,2224,24,1039')] ).
cnf(2512,plain,
convergent_lines(dollar_c3,dollar_c3),
inference(hyper,[status(thm)],[2301,35,45]),
[iquote('hyper,2301,35,45')] ).
cnf(2513,plain,
$false,
inference(binary,[status(thm)],[2512,3]),
[iquote('binary,2512.1,3.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO217+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n018.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 07:18:16 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.76/1.95 ----- Otter 3.3f, August 2004 -----
% 1.76/1.95 The process was started by sandbox on n018.cluster.edu,
% 1.76/1.95 Wed Jul 27 07:18:16 2022
% 1.76/1.95 The command was "./otter". The process ID is 13500.
% 1.76/1.95
% 1.76/1.95 set(prolog_style_variables).
% 1.76/1.95 set(auto).
% 1.76/1.95 dependent: set(auto1).
% 1.76/1.95 dependent: set(process_input).
% 1.76/1.95 dependent: clear(print_kept).
% 1.76/1.95 dependent: clear(print_new_demod).
% 1.76/1.95 dependent: clear(print_back_demod).
% 1.76/1.95 dependent: clear(print_back_sub).
% 1.76/1.95 dependent: set(control_memory).
% 1.76/1.95 dependent: assign(max_mem, 12000).
% 1.76/1.95 dependent: assign(pick_given_ratio, 4).
% 1.76/1.95 dependent: assign(stats_level, 1).
% 1.76/1.95 dependent: assign(max_seconds, 10800).
% 1.76/1.95 clear(print_given).
% 1.76/1.95
% 1.76/1.95 formula_list(usable).
% 1.76/1.95 all X (-distinct_points(X,X)).
% 1.76/1.95 all X (-distinct_lines(X,X)).
% 1.76/1.95 all X (-convergent_lines(X,X)).
% 1.76/1.95 all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 1.76/1.95 all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 1.76/1.95 all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 1.76/1.95 all X Y (distinct_points(X,Y)-> -apart_point_and_line(X,line_connecting(X,Y))).
% 1.76/1.95 all X Y (distinct_points(X,Y)-> -apart_point_and_line(Y,line_connecting(X,Y))).
% 1.76/1.95 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),X)).
% 1.76/1.95 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),Y)).
% 1.76/1.95 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)).
% 1.76/1.95 all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 1.76/1.95 all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 1.76/1.95 all X Y Z (convergent_lines(X,Y)->distinct_lines(Y,Z)|convergent_lines(X,Z)).
% 1.76/1.95 all X Y (distinct_lines(X,Y)->convergent_lines(X,Y)).
% 1.76/1.95 all X Y (-convergent_lines(parallel_through_point(Y,X),Y)).
% 1.76/1.95 all X Y (-apart_point_and_line(X,parallel_through_point(Y,X))).
% 1.76/1.95 all X Y Z (distinct_lines(Y,Z)->apart_point_and_line(X,Y)|apart_point_and_line(X,Z)|convergent_lines(Y,Z)).
% 1.76/1.95 all L M (convergent_lines(L,M)|unorthogonal_lines(L,M)).
% 1.76/1.95 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)).
% 1.76/1.95 all A L (-unorthogonal_lines(orthogonal_through_point(L,A),L)).
% 1.76/1.95 all A L (-apart_point_and_line(A,orthogonal_through_point(L,A))).
% 1.76/1.95 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)).
% 1.76/1.95 all L M (-(-convergent_lines(L,M)& -unorthogonal_lines(L,M))).
% 1.76/1.95 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)).
% 1.76/1.95 all L M N (-unorthogonal_lines(L,M)& -unorthogonal_lines(L,N)-> -convergent_lines(M,N)).
% 1.76/1.95 all A B (point(A)&point(B)&distinct_points(A,B)->line(line_connecting(A,B))).
% 1.76/1.95 all L M (line(L)&line(M)&convergent_lines(L,M)->point(intersection_point(L,M))).
% 1.76/1.95 all L A (line(L)&point(A)->line(parallel_through_point(L,A))).
% 1.76/1.95 all L A (line(L)&point(A)->line(orthogonal_through_point(L,A))).
% 1.76/1.95 all X Y (e_qual_points(X,Y)<-> -distinct_points(X,Y)).
% 1.76/1.95 all X Y (e_qual_lines(X,Y)<-> -distinct_lines(X,Y)).
% 1.76/1.95 all X Y (parallel_lines(X,Y)<-> -convergent_lines(X,Y)).
% 1.76/1.95 all X Y (incident_point_and_line(X,Y)<-> -apart_point_and_line(X,Y)).
% 1.76/1.95 all X Y (orthogonal_lines(X,Y)<-> -unorthogonal_lines(X,Y)).
% 1.76/1.95 -(all L M N (parallel_lines(L,M)¶llel_lines(L,N)->parallel_lines(M,N))).
% 1.76/1.95 end_of_list.
% 1.76/1.95
% 1.76/1.95 -------> usable clausifies to:
% 1.76/1.95
% 1.76/1.95 list(usable).
% 1.76/1.95 0 [] -distinct_points(X,X).
% 1.76/1.95 0 [] -distinct_lines(X,X).
% 1.76/1.95 0 [] -convergent_lines(X,X).
% 1.76/1.95 0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 1.76/1.95 0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 1.76/1.95 0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 1.76/1.95 0 [] -distinct_points(X,Y)| -apart_point_and_line(X,line_connecting(X,Y)).
% 1.76/1.95 0 [] -distinct_points(X,Y)| -apart_point_and_line(Y,line_connecting(X,Y)).
% 1.76/1.95 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),X).
% 1.76/1.95 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),Y).
% 1.76/1.96 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).
% 1.76/1.96 0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 1.76/1.96 0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 1.76/1.96 0 [] -convergent_lines(X,Y)|distinct_lines(Y,Z)|convergent_lines(X,Z).
% 1.76/1.96 0 [] -distinct_lines(X,Y)|convergent_lines(X,Y).
% 1.76/1.96 0 [] -convergent_lines(parallel_through_point(Y,X),Y).
% 1.76/1.96 0 [] -apart_point_and_line(X,parallel_through_point(Y,X)).
% 1.76/1.96 0 [] -distinct_lines(Y,Z)|apart_point_and_line(X,Y)|apart_point_and_line(X,Z)|convergent_lines(Y,Z).
% 1.76/1.96 0 [] convergent_lines(L,M)|unorthogonal_lines(L,M).
% 1.76/1.96 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|convergent_lines(L,N)|convergent_lines(M,N).
% 1.76/1.96 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|convergent_lines(L,N)|unorthogonal_lines(M,N).
% 1.76/1.96 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|unorthogonal_lines(L,N)|convergent_lines(M,N).
% 1.76/1.96 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|unorthogonal_lines(L,N)|unorthogonal_lines(M,N).
% 1.76/1.96 0 [] -unorthogonal_lines(orthogonal_through_point(L,A),L).
% 1.76/1.96 0 [] -apart_point_and_line(A,orthogonal_through_point(L,A)).
% 1.76/1.96 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).
% 1.76/1.96 0 [] convergent_lines(L,M)|unorthogonal_lines(L,M).
% 1.76/1.96 0 [] convergent_lines(L,M)|convergent_lines(L,N)| -convergent_lines(M,N)| -unorthogonal_lines(M,N).
% 1.76/1.96 0 [] convergent_lines(L,M)|unorthogonal_lines(L,N)| -convergent_lines(M,N)| -unorthogonal_lines(M,N).
% 1.76/1.96 0 [] unorthogonal_lines(L,M)|convergent_lines(L,N)| -convergent_lines(M,N)| -unorthogonal_lines(M,N).
% 1.76/1.96 0 [] unorthogonal_lines(L,M)|unorthogonal_lines(L,N)| -convergent_lines(M,N)| -unorthogonal_lines(M,N).
% 1.76/1.96 0 [] unorthogonal_lines(L,M)|unorthogonal_lines(L,N)| -convergent_lines(M,N).
% 1.76/1.96 0 [] -point(A)| -point(B)| -distinct_points(A,B)|line(line_connecting(A,B)).
% 1.76/1.96 0 [] -line(L)| -line(M)| -convergent_lines(L,M)|point(intersection_point(L,M)).
% 1.76/1.96 0 [] -line(L)| -point(A)|line(parallel_through_point(L,A)).
% 1.76/1.96 0 [] -line(L)| -point(A)|line(orthogonal_through_point(L,A)).
% 1.76/1.96 0 [] -e_qual_points(X,Y)| -distinct_points(X,Y).
% 1.76/1.96 0 [] e_qual_points(X,Y)|distinct_points(X,Y).
% 1.76/1.96 0 [] -e_qual_lines(X,Y)| -distinct_lines(X,Y).
% 1.76/1.96 0 [] e_qual_lines(X,Y)|distinct_lines(X,Y).
% 1.76/1.96 0 [] -parallel_lines(X,Y)| -convergent_lines(X,Y).
% 1.76/1.96 0 [] parallel_lines(X,Y)|convergent_lines(X,Y).
% 1.76/1.96 0 [] -incident_point_and_line(X,Y)| -apart_point_and_line(X,Y).
% 1.76/1.96 0 [] incident_point_and_line(X,Y)|apart_point_and_line(X,Y).
% 1.76/1.96 0 [] -orthogonal_lines(X,Y)| -unorthogonal_lines(X,Y).
% 1.76/1.96 0 [] orthogonal_lines(X,Y)|unorthogonal_lines(X,Y).
% 1.76/1.96 0 [] parallel_lines($c3,$c2).
% 1.76/1.96 0 [] parallel_lines($c3,$c1).
% 1.76/1.96 0 [] -parallel_lines($c2,$c1).
% 1.76/1.96 end_of_list.
% 1.76/1.96
% 1.76/1.96 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.76/1.96
% 1.76/1.96 This is a non-Horn set without equality. The strategy will
% 1.76/1.96 be ordered hyper_res, unit deletion, and factoring, with
% 1.76/1.96 satellites in sos and with nuclei in usable.
% 1.76/1.96
% 1.76/1.96 dependent: set(hyper_res).
% 1.76/1.96 dependent: set(factor).
% 1.76/1.96 dependent: set(unit_deletion).
% 1.76/1.96
% 1.76/1.96 ------------> process usable:
% 1.76/1.96 ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 1.76/1.96 ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 1.76/1.96 ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 1.76/1.96 ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.76/1.96 ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 1.76/1.96 ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 1.76/1.96 ** KEPT (pick-wt=8): 7 [] -distinct_points(A,B)| -apart_point_and_line(A,line_connecting(A,B)).
% 1.76/1.96 ** KEPT (pick-wt=8): 8 [] -distinct_points(A,B)| -apart_point_and_line(B,line_connecting(A,B)).
% 1.76/1.96 ** KEPT (pick-wt=8): 9 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),A).
% 1.76/1.96 ** KEPT (pick-wt=8): 10 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),B).
% 1.76/1.96 ** 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).
% 2.61/2.84 ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 2.61/2.84 ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 2.61/2.84 ** KEPT (pick-wt=9): 14 [] -convergent_lines(A,B)|distinct_lines(B,C)|convergent_lines(A,C).
% 2.61/2.84 ** KEPT (pick-wt=6): 15 [] -distinct_lines(A,B)|convergent_lines(A,B).
% 2.61/2.84 ** KEPT (pick-wt=5): 16 [] -convergent_lines(parallel_through_point(A,B),A).
% 2.61/2.84 ** KEPT (pick-wt=5): 17 [] -apart_point_and_line(A,parallel_through_point(B,A)).
% 2.61/2.84 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).
% 2.61/2.84 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).
% 2.61/2.84 ** KEPT (pick-wt=12): 18 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|convergent_lines(A,C)|unorthogonal_lines(B,C).
% 2.61/2.84 ** KEPT (pick-wt=12): 19 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|unorthogonal_lines(A,C)|convergent_lines(B,C).
% 2.61/2.84 ** KEPT (pick-wt=12): 20 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|unorthogonal_lines(A,C)|unorthogonal_lines(B,C).
% 2.61/2.84 ** KEPT (pick-wt=5): 21 [] -unorthogonal_lines(orthogonal_through_point(A,B),A).
% 2.61/2.84 ** KEPT (pick-wt=5): 22 [] -apart_point_and_line(A,orthogonal_through_point(B,A)).
% 2.61/2.84 ** 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).
% 2.61/2.84 ** KEPT (pick-wt=12): 24 [] convergent_lines(A,B)|convergent_lines(A,C)| -convergent_lines(B,C)| -unorthogonal_lines(B,C).
% 2.61/2.84 ** KEPT (pick-wt=12): 25 [] convergent_lines(A,B)|unorthogonal_lines(A,C)| -convergent_lines(B,C)| -unorthogonal_lines(B,C).
% 2.61/2.84 ** KEPT (pick-wt=12): 26 [] unorthogonal_lines(A,B)|convergent_lines(A,C)| -convergent_lines(B,C)| -unorthogonal_lines(B,C).
% 2.61/2.84 ** KEPT (pick-wt=12): 27 [] unorthogonal_lines(A,B)|unorthogonal_lines(A,C)| -convergent_lines(B,C)| -unorthogonal_lines(B,C).
% 2.61/2.84 ** KEPT (pick-wt=9): 28 [] unorthogonal_lines(A,B)|unorthogonal_lines(A,C)| -convergent_lines(B,C).
% 2.61/2.84 ** KEPT (pick-wt=11): 29 [] -point(A)| -point(B)| -distinct_points(A,B)|line(line_connecting(A,B)).
% 2.61/2.84 ** KEPT (pick-wt=11): 30 [] -line(A)| -line(B)| -convergent_lines(A,B)|point(intersection_point(A,B)).
% 2.61/2.84 ** KEPT (pick-wt=8): 31 [] -line(A)| -point(B)|line(parallel_through_point(A,B)).
% 2.61/2.84 ** KEPT (pick-wt=8): 32 [] -line(A)| -point(B)|line(orthogonal_through_point(A,B)).
% 2.61/2.84 ** KEPT (pick-wt=6): 33 [] -e_qual_points(A,B)| -distinct_points(A,B).
% 2.61/2.84 ** KEPT (pick-wt=6): 34 [] -e_qual_lines(A,B)| -distinct_lines(A,B).
% 2.61/2.84 ** KEPT (pick-wt=6): 35 [] -parallel_lines(A,B)| -convergent_lines(A,B).
% 2.61/2.84 ** KEPT (pick-wt=6): 36 [] -incident_point_and_line(A,B)| -apart_point_and_line(A,B).
% 2.61/2.84 ** KEPT (pick-wt=6): 37 [] -orthogonal_lines(A,B)| -unorthogonal_lines(A,B).
% 2.61/2.84 ** KEPT (pick-wt=3): 38 [] -parallel_lines($c2,$c1).
% 2.61/2.84 28 back subsumes 27.
% 2.61/2.84
% 2.61/2.84 ------------> process sos:
% 2.61/2.84 ** KEPT (pick-wt=6): 39 [] convergent_lines(A,B)|unorthogonal_lines(A,B).
% 2.61/2.84 Following clause subsumed by 39 during input processing: 0 [] convergent_lines(A,B)|unorthogonal_lines(A,B).
% 2.61/2.84 ** KEPT (pick-wt=6): 40 [] e_qual_points(A,B)|distinct_points(A,B).
% 2.61/2.84 ** KEPT (pick-wt=6): 41 [] e_qual_lines(A,B)|distinct_lines(A,B).
% 2.61/2.84 ** KEPT (pick-wt=6): 42 [] parallel_lines(A,B)|convergent_lines(A,B).
% 2.61/2.84 ** KEPT (pick-wt=6): 43 [] incident_point_and_line(A,B)|apart_point_and_line(A,B).
% 2.61/2.84 ** KEPT (pick-wt=6): 44 [] orthogonal_lines(A,B)|unorthogonal_lines(A,B).
% 2.61/2.84 ** KEPT (pick-wt=3): 45 [] parallel_lines($c3,$c2).
% 2.61/2.84 ** KEPT (pick-wt=3): 46 [] parallel_lines($c3,$c1).
% 2.61/2.84
% 2.61/2.84 ======= end of input processing =======
% 2.61/2.84
% 2.61/2.84 =========== start of search ===========
% 2.61/2.84
% 2.61/2.84 -------- PROOF --------
% 2.61/2.84
% 2.61/2.84 ----> UNIT CONFLICT at 0.88 sec ----> 2513 [binary,2512.1,3.1] $F.
% 2.61/2.84
% 2.61/2.84 Length of proof is 19. Level of proof is 10.
% 2.61/2.84
% 2.61/2.84 ---------------- PROOF ----------------
% 2.61/2.84 % SZS status Theorem
% 2.61/2.84 % SZS output start Refutation
% See solution above
% 2.61/2.84 ------------ end of proof -------------
% 2.61/2.84
% 2.61/2.84
% 2.61/2.84 Search stopped by max_proofs option.
% 2.61/2.84
% 2.61/2.84
% 2.61/2.84 Search stopped by max_proofs option.
% 2.61/2.84
% 2.61/2.84 ============ end of search ============
% 2.61/2.84
% 2.61/2.84 -------------- statistics -------------
% 2.61/2.84 clauses given 117
% 2.61/2.84 clauses generated 9134
% 2.61/2.84 clauses kept 2512
% 2.61/2.84 clauses forward subsumed 6671
% 2.61/2.84 clauses back subsumed 890
% 2.61/2.84 Kbytes malloced 2929
% 2.61/2.84
% 2.61/2.84 ----------- times (seconds) -----------
% 2.61/2.84 user CPU time 0.88 (0 hr, 0 min, 0 sec)
% 2.61/2.84 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.61/2.84 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 2.61/2.84
% 2.61/2.84 That finishes the proof of the theorem.
% 2.61/2.84
% 2.61/2.84 Process 13500 finished Wed Jul 27 07:18:19 2022
% 2.61/2.84 Otter interrupted
% 2.61/2.84 PROOF FOUND
%------------------------------------------------------------------------------