TSTP Solution File: GEO218+3 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO218+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n009.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 12:54:53 EDT 2022
% Result : Theorem 1.76s 1.96s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of clauses : 25 ( 10 unt; 13 nHn; 13 RR)
% Number of literals : 49 ( 0 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 29 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ convergent_lines(A,A),
file('GEO218+3.p',unknown),
[] ).
cnf(6,axiom,
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
file('GEO218+3.p',unknown),
[] ).
cnf(20,axiom,
( ~ convergent_lines(A,B)
| ~ unorthogonal_lines(A,B)
| unorthogonal_lines(A,C)
| unorthogonal_lines(B,C) ),
file('GEO218+3.p',unknown),
[] ).
cnf(24,axiom,
( convergent_lines(A,B)
| convergent_lines(A,C)
| ~ convergent_lines(B,C)
| ~ unorthogonal_lines(B,C) ),
file('GEO218+3.p',unknown),
[] ).
cnf(25,axiom,
( convergent_lines(A,B)
| unorthogonal_lines(A,C)
| ~ convergent_lines(B,C)
| ~ unorthogonal_lines(B,C) ),
file('GEO218+3.p',unknown),
[] ).
cnf(28,axiom,
( unorthogonal_lines(A,B)
| unorthogonal_lines(A,C)
| ~ convergent_lines(B,C) ),
file('GEO218+3.p',unknown),
[] ).
cnf(35,axiom,
( ~ parallel_lines(A,B)
| ~ convergent_lines(A,B) ),
file('GEO218+3.p',unknown),
[] ).
cnf(37,axiom,
( ~ orthogonal_lines(A,B)
| ~ unorthogonal_lines(A,B) ),
file('GEO218+3.p',unknown),
[] ).
cnf(38,axiom,
~ orthogonal_lines(dollar_c2,dollar_c1),
file('GEO218+3.p',unknown),
[] ).
cnf(39,axiom,
( convergent_lines(A,B)
| unorthogonal_lines(A,B) ),
file('GEO218+3.p',unknown),
[] ).
cnf(44,axiom,
( orthogonal_lines(A,B)
| unorthogonal_lines(A,B) ),
file('GEO218+3.p',unknown),
[] ).
cnf(45,axiom,
parallel_lines(dollar_c3,dollar_c2),
file('GEO218+3.p',unknown),
[] ).
cnf(46,axiom,
orthogonal_lines(dollar_c3,dollar_c1),
file('GEO218+3.p',unknown),
[] ).
cnf(48,plain,
convergent_lines(dollar_c3,dollar_c1),
inference(hyper,[status(thm)],[46,37,39]),
[iquote('hyper,46,37,39')] ).
cnf(49,plain,
( unorthogonal_lines(A,dollar_c3)
| unorthogonal_lines(A,dollar_c1) ),
inference(hyper,[status(thm)],[48,28]),
[iquote('hyper,48,28')] ).
cnf(51,plain,
( convergent_lines(dollar_c3,A)
| convergent_lines(dollar_c1,A) ),
inference(hyper,[status(thm)],[48,6]),
[iquote('hyper,48,6')] ).
cnf(70,plain,
convergent_lines(dollar_c1,dollar_c2),
inference(hyper,[status(thm)],[51,35,45]),
[iquote('hyper,51,35,45')] ).
cnf(88,plain,
( unorthogonal_lines(dollar_c1,A)
| unorthogonal_lines(dollar_c3,A)
| unorthogonal_lines(dollar_c1,dollar_c1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[51,20,49]),3]),
[iquote('hyper,51,20,49,unit_del,3')] ).
cnf(97,plain,
( unorthogonal_lines(dollar_c1,dollar_c1)
| unorthogonal_lines(dollar_c3,dollar_c1) ),
inference(factor,[status(thm)],[88]),
[iquote('factor,88.1.3')] ).
cnf(106,plain,
( convergent_lines(dollar_c1,A)
| convergent_lines(dollar_c2,A) ),
inference(hyper,[status(thm)],[70,6]),
[iquote('hyper,70,6')] ).
cnf(114,plain,
unorthogonal_lines(dollar_c1,dollar_c1),
inference(hyper,[status(thm)],[97,37,46]),
[iquote('hyper,97,37,46')] ).
cnf(189,plain,
convergent_lines(dollar_c2,dollar_c1),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[106,24,114])])]),
[iquote('hyper,106,24,114,factor_simp,factor_simp')] ).
cnf(389,plain,
( convergent_lines(A,dollar_c2)
| unorthogonal_lines(A,dollar_c1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[189,25,44]),38]),
[iquote('hyper,189,25,44,unit_del,38')] ).
cnf(538,plain,
convergent_lines(dollar_c3,dollar_c2),
inference(hyper,[status(thm)],[389,37,46]),
[iquote('hyper,389,37,46')] ).
cnf(546,plain,
$false,
inference(hyper,[status(thm)],[538,35,45]),
[iquote('hyper,538,35,45')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO218+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n009.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 07:06:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.68/1.88 ----- Otter 3.3f, August 2004 -----
% 1.68/1.88 The process was started by sandbox2 on n009.cluster.edu,
% 1.68/1.88 Wed Jul 27 07:06:51 2022
% 1.68/1.88 The command was "./otter". The process ID is 1341.
% 1.68/1.88
% 1.68/1.88 set(prolog_style_variables).
% 1.68/1.88 set(auto).
% 1.68/1.88 dependent: set(auto1).
% 1.68/1.88 dependent: set(process_input).
% 1.68/1.88 dependent: clear(print_kept).
% 1.68/1.88 dependent: clear(print_new_demod).
% 1.68/1.88 dependent: clear(print_back_demod).
% 1.68/1.88 dependent: clear(print_back_sub).
% 1.68/1.88 dependent: set(control_memory).
% 1.68/1.88 dependent: assign(max_mem, 12000).
% 1.68/1.88 dependent: assign(pick_given_ratio, 4).
% 1.68/1.88 dependent: assign(stats_level, 1).
% 1.68/1.88 dependent: assign(max_seconds, 10800).
% 1.68/1.88 clear(print_given).
% 1.68/1.88
% 1.68/1.88 formula_list(usable).
% 1.68/1.88 all X (-distinct_points(X,X)).
% 1.68/1.88 all X (-distinct_lines(X,X)).
% 1.68/1.88 all X (-convergent_lines(X,X)).
% 1.68/1.88 all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 1.68/1.88 all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 1.68/1.88 all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 1.68/1.88 all X Y (distinct_points(X,Y)-> -apart_point_and_line(X,line_connecting(X,Y))).
% 1.68/1.88 all X Y (distinct_points(X,Y)-> -apart_point_and_line(Y,line_connecting(X,Y))).
% 1.68/1.88 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),X)).
% 1.68/1.88 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),Y)).
% 1.68/1.88 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)).
% 1.68/1.88 all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 1.68/1.88 all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 1.68/1.88 all X Y Z (convergent_lines(X,Y)->distinct_lines(Y,Z)|convergent_lines(X,Z)).
% 1.68/1.88 all X Y (distinct_lines(X,Y)->convergent_lines(X,Y)).
% 1.68/1.88 all X Y (-convergent_lines(parallel_through_point(Y,X),Y)).
% 1.68/1.88 all X Y (-apart_point_and_line(X,parallel_through_point(Y,X))).
% 1.68/1.88 all X Y Z (distinct_lines(Y,Z)->apart_point_and_line(X,Y)|apart_point_and_line(X,Z)|convergent_lines(Y,Z)).
% 1.68/1.88 all L M (convergent_lines(L,M)|unorthogonal_lines(L,M)).
% 1.68/1.88 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)).
% 1.68/1.88 all A L (-unorthogonal_lines(orthogonal_through_point(L,A),L)).
% 1.68/1.88 all A L (-apart_point_and_line(A,orthogonal_through_point(L,A))).
% 1.68/1.88 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)).
% 1.68/1.88 all L M (-(-convergent_lines(L,M)& -unorthogonal_lines(L,M))).
% 1.68/1.88 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)).
% 1.68/1.88 all L M N (-unorthogonal_lines(L,M)& -unorthogonal_lines(L,N)-> -convergent_lines(M,N)).
% 1.68/1.88 all A B (point(A)&point(B)&distinct_points(A,B)->line(line_connecting(A,B))).
% 1.68/1.88 all L M (line(L)&line(M)&convergent_lines(L,M)->point(intersection_point(L,M))).
% 1.68/1.88 all L A (line(L)&point(A)->line(parallel_through_point(L,A))).
% 1.68/1.88 all L A (line(L)&point(A)->line(orthogonal_through_point(L,A))).
% 1.68/1.88 all X Y (e_qual_points(X,Y)<-> -distinct_points(X,Y)).
% 1.68/1.88 all X Y (e_qual_lines(X,Y)<-> -distinct_lines(X,Y)).
% 1.68/1.88 all X Y (parallel_lines(X,Y)<-> -convergent_lines(X,Y)).
% 1.68/1.88 all X Y (incident_point_and_line(X,Y)<-> -apart_point_and_line(X,Y)).
% 1.68/1.88 all X Y (orthogonal_lines(X,Y)<-> -unorthogonal_lines(X,Y)).
% 1.68/1.88 -(all L M N (parallel_lines(L,M)&orthogonal_lines(L,N)->orthogonal_lines(M,N))).
% 1.68/1.88 end_of_list.
% 1.68/1.88
% 1.68/1.88 -------> usable clausifies to:
% 1.68/1.88
% 1.68/1.88 list(usable).
% 1.68/1.88 0 [] -distinct_points(X,X).
% 1.68/1.88 0 [] -distinct_lines(X,X).
% 1.68/1.88 0 [] -convergent_lines(X,X).
% 1.68/1.88 0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 1.68/1.88 0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 1.68/1.88 0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 1.68/1.88 0 [] -distinct_points(X,Y)| -apart_point_and_line(X,line_connecting(X,Y)).
% 1.68/1.88 0 [] -distinct_points(X,Y)| -apart_point_and_line(Y,line_connecting(X,Y)).
% 1.68/1.88 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),X).
% 1.68/1.88 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),Y).
% 1.68/1.88 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).
% 1.68/1.88 0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 1.68/1.88 0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 1.68/1.88 0 [] -convergent_lines(X,Y)|distinct_lines(Y,Z)|convergent_lines(X,Z).
% 1.68/1.88 0 [] -distinct_lines(X,Y)|convergent_lines(X,Y).
% 1.68/1.88 0 [] -convergent_lines(parallel_through_point(Y,X),Y).
% 1.68/1.88 0 [] -apart_point_and_line(X,parallel_through_point(Y,X)).
% 1.68/1.88 0 [] -distinct_lines(Y,Z)|apart_point_and_line(X,Y)|apart_point_and_line(X,Z)|convergent_lines(Y,Z).
% 1.68/1.88 0 [] convergent_lines(L,M)|unorthogonal_lines(L,M).
% 1.68/1.88 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|convergent_lines(L,N)|convergent_lines(M,N).
% 1.68/1.88 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|convergent_lines(L,N)|unorthogonal_lines(M,N).
% 1.68/1.88 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|unorthogonal_lines(L,N)|convergent_lines(M,N).
% 1.68/1.88 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|unorthogonal_lines(L,N)|unorthogonal_lines(M,N).
% 1.68/1.88 0 [] -unorthogonal_lines(orthogonal_through_point(L,A),L).
% 1.68/1.88 0 [] -apart_point_and_line(A,orthogonal_through_point(L,A)).
% 1.68/1.88 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).
% 1.68/1.88 0 [] convergent_lines(L,M)|unorthogonal_lines(L,M).
% 1.68/1.88 0 [] convergent_lines(L,M)|convergent_lines(L,N)| -convergent_lines(M,N)| -unorthogonal_lines(M,N).
% 1.68/1.88 0 [] convergent_lines(L,M)|unorthogonal_lines(L,N)| -convergent_lines(M,N)| -unorthogonal_lines(M,N).
% 1.68/1.88 0 [] unorthogonal_lines(L,M)|convergent_lines(L,N)| -convergent_lines(M,N)| -unorthogonal_lines(M,N).
% 1.68/1.88 0 [] unorthogonal_lines(L,M)|unorthogonal_lines(L,N)| -convergent_lines(M,N)| -unorthogonal_lines(M,N).
% 1.68/1.88 0 [] unorthogonal_lines(L,M)|unorthogonal_lines(L,N)| -convergent_lines(M,N).
% 1.68/1.88 0 [] -point(A)| -point(B)| -distinct_points(A,B)|line(line_connecting(A,B)).
% 1.68/1.88 0 [] -line(L)| -line(M)| -convergent_lines(L,M)|point(intersection_point(L,M)).
% 1.68/1.88 0 [] -line(L)| -point(A)|line(parallel_through_point(L,A)).
% 1.68/1.88 0 [] -line(L)| -point(A)|line(orthogonal_through_point(L,A)).
% 1.68/1.88 0 [] -e_qual_points(X,Y)| -distinct_points(X,Y).
% 1.68/1.88 0 [] e_qual_points(X,Y)|distinct_points(X,Y).
% 1.68/1.88 0 [] -e_qual_lines(X,Y)| -distinct_lines(X,Y).
% 1.68/1.88 0 [] e_qual_lines(X,Y)|distinct_lines(X,Y).
% 1.68/1.88 0 [] -parallel_lines(X,Y)| -convergent_lines(X,Y).
% 1.68/1.88 0 [] parallel_lines(X,Y)|convergent_lines(X,Y).
% 1.68/1.88 0 [] -incident_point_and_line(X,Y)| -apart_point_and_line(X,Y).
% 1.68/1.88 0 [] incident_point_and_line(X,Y)|apart_point_and_line(X,Y).
% 1.68/1.88 0 [] -orthogonal_lines(X,Y)| -unorthogonal_lines(X,Y).
% 1.68/1.88 0 [] orthogonal_lines(X,Y)|unorthogonal_lines(X,Y).
% 1.68/1.88 0 [] parallel_lines($c3,$c2).
% 1.68/1.88 0 [] orthogonal_lines($c3,$c1).
% 1.68/1.88 0 [] -orthogonal_lines($c2,$c1).
% 1.68/1.88 end_of_list.
% 1.68/1.88
% 1.68/1.88 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.68/1.88
% 1.68/1.88 This is a non-Horn set without equality. The strategy will
% 1.68/1.88 be ordered hyper_res, unit deletion, and factoring, with
% 1.68/1.88 satellites in sos and with nuclei in usable.
% 1.68/1.88
% 1.68/1.88 dependent: set(hyper_res).
% 1.68/1.88 dependent: set(factor).
% 1.68/1.88 dependent: set(unit_deletion).
% 1.68/1.88
% 1.68/1.88 ------------> process usable:
% 1.68/1.88 ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 1.68/1.88 ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 1.68/1.88 ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 1.68/1.88 ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.68/1.88 ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 1.68/1.88 ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 1.68/1.88 ** KEPT (pick-wt=8): 7 [] -distinct_points(A,B)| -apart_point_and_line(A,line_connecting(A,B)).
% 1.68/1.88 ** KEPT (pick-wt=8): 8 [] -distinct_points(A,B)| -apart_point_and_line(B,line_connecting(A,B)).
% 1.68/1.88 ** KEPT (pick-wt=8): 9 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),A).
% 1.68/1.88 ** KEPT (pick-wt=8): 10 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),B).
% 1.68/1.88 ** 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).
% 1.76/1.96 ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 1.76/1.96 ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 1.76/1.96 ** KEPT (pick-wt=9): 14 [] -convergent_lines(A,B)|distinct_lines(B,C)|convergent_lines(A,C).
% 1.76/1.96 ** KEPT (pick-wt=6): 15 [] -distinct_lines(A,B)|convergent_lines(A,B).
% 1.76/1.96 ** KEPT (pick-wt=5): 16 [] -convergent_lines(parallel_through_point(A,B),A).
% 1.76/1.96 ** KEPT (pick-wt=5): 17 [] -apart_point_and_line(A,parallel_through_point(B,A)).
% 1.76/1.96 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).
% 1.76/1.96 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).
% 1.76/1.96 ** KEPT (pick-wt=12): 18 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|convergent_lines(A,C)|unorthogonal_lines(B,C).
% 1.76/1.96 ** KEPT (pick-wt=12): 19 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|unorthogonal_lines(A,C)|convergent_lines(B,C).
% 1.76/1.96 ** KEPT (pick-wt=12): 20 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|unorthogonal_lines(A,C)|unorthogonal_lines(B,C).
% 1.76/1.96 ** KEPT (pick-wt=5): 21 [] -unorthogonal_lines(orthogonal_through_point(A,B),A).
% 1.76/1.96 ** KEPT (pick-wt=5): 22 [] -apart_point_and_line(A,orthogonal_through_point(B,A)).
% 1.76/1.96 ** 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).
% 1.76/1.96 ** KEPT (pick-wt=12): 24 [] convergent_lines(A,B)|convergent_lines(A,C)| -convergent_lines(B,C)| -unorthogonal_lines(B,C).
% 1.76/1.96 ** KEPT (pick-wt=12): 25 [] convergent_lines(A,B)|unorthogonal_lines(A,C)| -convergent_lines(B,C)| -unorthogonal_lines(B,C).
% 1.76/1.96 ** KEPT (pick-wt=12): 26 [] unorthogonal_lines(A,B)|convergent_lines(A,C)| -convergent_lines(B,C)| -unorthogonal_lines(B,C).
% 1.76/1.96 ** KEPT (pick-wt=12): 27 [] unorthogonal_lines(A,B)|unorthogonal_lines(A,C)| -convergent_lines(B,C)| -unorthogonal_lines(B,C).
% 1.76/1.96 ** KEPT (pick-wt=9): 28 [] unorthogonal_lines(A,B)|unorthogonal_lines(A,C)| -convergent_lines(B,C).
% 1.76/1.96 ** KEPT (pick-wt=11): 29 [] -point(A)| -point(B)| -distinct_points(A,B)|line(line_connecting(A,B)).
% 1.76/1.96 ** KEPT (pick-wt=11): 30 [] -line(A)| -line(B)| -convergent_lines(A,B)|point(intersection_point(A,B)).
% 1.76/1.96 ** KEPT (pick-wt=8): 31 [] -line(A)| -point(B)|line(parallel_through_point(A,B)).
% 1.76/1.96 ** KEPT (pick-wt=8): 32 [] -line(A)| -point(B)|line(orthogonal_through_point(A,B)).
% 1.76/1.96 ** KEPT (pick-wt=6): 33 [] -e_qual_points(A,B)| -distinct_points(A,B).
% 1.76/1.96 ** KEPT (pick-wt=6): 34 [] -e_qual_lines(A,B)| -distinct_lines(A,B).
% 1.76/1.96 ** KEPT (pick-wt=6): 35 [] -parallel_lines(A,B)| -convergent_lines(A,B).
% 1.76/1.96 ** KEPT (pick-wt=6): 36 [] -incident_point_and_line(A,B)| -apart_point_and_line(A,B).
% 1.76/1.96 ** KEPT (pick-wt=6): 37 [] -orthogonal_lines(A,B)| -unorthogonal_lines(A,B).
% 1.76/1.96 ** KEPT (pick-wt=3): 38 [] -orthogonal_lines($c2,$c1).
% 1.76/1.96 28 back subsumes 27.
% 1.76/1.96
% 1.76/1.96 ------------> process sos:
% 1.76/1.96 ** KEPT (pick-wt=6): 39 [] convergent_lines(A,B)|unorthogonal_lines(A,B).
% 1.76/1.96 Following clause subsumed by 39 during input processing: 0 [] convergent_lines(A,B)|unorthogonal_lines(A,B).
% 1.76/1.96 ** KEPT (pick-wt=6): 40 [] e_qual_points(A,B)|distinct_points(A,B).
% 1.76/1.96 ** KEPT (pick-wt=6): 41 [] e_qual_lines(A,B)|distinct_lines(A,B).
% 1.76/1.96 ** KEPT (pick-wt=6): 42 [] parallel_lines(A,B)|convergent_lines(A,B).
% 1.76/1.96 ** KEPT (pick-wt=6): 43 [] incident_point_and_line(A,B)|apart_point_and_line(A,B).
% 1.76/1.96 ** KEPT (pick-wt=6): 44 [] orthogonal_lines(A,B)|unorthogonal_lines(A,B).
% 1.76/1.96 ** KEPT (pick-wt=3): 45 [] parallel_lines($c3,$c2).
% 1.76/1.96 ** KEPT (pick-wt=3): 46 [] orthogonal_lines($c3,$c1).
% 1.76/1.96
% 1.76/1.96 ======= end of input processing =======
% 1.76/1.96
% 1.76/1.96 =========== start of search ===========
% 1.76/1.96
% 1.76/1.96 -------- PROOF --------
% 1.76/1.96
% 1.76/1.96 -----> EMPTY CLAUSE at 0.07 sec ----> 546 [hyper,538,35,45] $F.
% 1.76/1.96
% 1.76/1.96 Length of proof is 11. Level of proof is 8.
% 1.76/1.96
% 1.76/1.96 ---------------- PROOF ----------------
% 1.76/1.96 % SZS status Theorem
% 1.76/1.96 % SZS output start Refutation
% See solution above
% 1.76/1.96 ------------ end of proof -------------
% 1.76/1.96
% 1.76/1.96
% 1.76/1.96 Search stopped by max_proofs option.
% 1.76/1.96
% 1.76/1.96
% 1.76/1.96 Search stopped by max_proofs option.
% 1.76/1.96
% 1.76/1.96 ============ end of search ============
% 1.76/1.96
% 1.76/1.96 -------------- statistics -------------
% 1.76/1.96 clauses given 44
% 1.76/1.96 clauses generated 1569
% 1.76/1.96 clauses kept 545
% 1.76/1.96 clauses forward subsumed 1072
% 1.76/1.96 clauses back subsumed 206
% 1.76/1.96 Kbytes malloced 976
% 1.76/1.96
% 1.76/1.96 ----------- times (seconds) -----------
% 1.76/1.96 user CPU time 0.07 (0 hr, 0 min, 0 sec)
% 1.76/1.96 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.76/1.96 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.76/1.96
% 1.76/1.96 That finishes the proof of the theorem.
% 1.76/1.96
% 1.76/1.96 Process 1341 finished Wed Jul 27 07:06:53 2022
% 1.76/1.96 Otter interrupted
% 1.76/1.96 PROOF FOUND
%------------------------------------------------------------------------------