%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO223+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.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 12:54:55 EDT 2022
% Result : Theorem 1.91s 2.09s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of clauses : 40 ( 15 unt; 23 nHn; 12 RR)
% Number of literals : 82 ( 0 equ; 17 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 80 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
~ distinct_lines(A,A),
file('GEO223+3.p',unknown),
[] ).
cnf(5,axiom,
( ~ distinct_lines(A,B)
| distinct_lines(A,C)
| distinct_lines(B,C) ),
file('GEO223+3.p',unknown),
[] ).
cnf(6,axiom,
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
file('GEO223+3.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(A,B)
| distinct_lines(B,C)
| convergent_lines(A,C) ),
file('GEO223+3.p',unknown),
[] ).
cnf(15,axiom,
( ~ distinct_lines(A,B)
| convergent_lines(A,B) ),
file('GEO223+3.p',unknown),
[] ).
cnf(16,axiom,
~ convergent_lines(parallel_through_point(A,B),A),
file('GEO223+3.p',unknown),
[] ).
cnf(19,axiom,
( ~ convergent_lines(A,B)
| ~ unorthogonal_lines(A,B)
| unorthogonal_lines(A,C)
| convergent_lines(B,C) ),
file('GEO223+3.p',unknown),
[] ).
cnf(20,axiom,
( ~ convergent_lines(A,B)
| ~ unorthogonal_lines(A,B)
| unorthogonal_lines(A,C)
| unorthogonal_lines(B,C) ),
file('GEO223+3.p',unknown),
[] ).
cnf(21,axiom,
~ unorthogonal_lines(orthogonal_through_point(A,B),A),
file('GEO223+3.p',unknown),
[] ).
cnf(26,axiom,
( unorthogonal_lines(A,B)
| convergent_lines(A,C)
| ~ convergent_lines(B,C)
| ~ unorthogonal_lines(B,C) ),
file('GEO223+3.p',unknown),
[] ).
cnf(28,axiom,
( unorthogonal_lines(A,B)
| unorthogonal_lines(A,C)
| ~ convergent_lines(B,C) ),
file('GEO223+3.p',unknown),
[] ).
cnf(37,axiom,
( ~ orthogonal_lines(A,B)
| ~ unorthogonal_lines(A,B) ),
file('GEO223+3.p',unknown),
[] ).
cnf(38,axiom,
~ e_qual_lines(parallel_through_point(dollar_c1,dollar_c2),orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2)),
file('GEO223+3.p',unknown),
[] ).
cnf(39,axiom,
( convergent_lines(A,B)
| unorthogonal_lines(A,B) ),
file('GEO223+3.p',unknown),
[] ).
cnf(41,axiom,
( e_qual_lines(A,B)
| distinct_lines(A,B) ),
file('GEO223+3.p',unknown),
[] ).
cnf(44,axiom,
( orthogonal_lines(A,B)
| unorthogonal_lines(A,B) ),
file('GEO223+3.p',unknown),
[] ).
cnf(45,plain,
convergent_lines(orthogonal_through_point(A,B),A),
inference(hyper,[status(thm)],[39,21]),
[iquote('hyper,39,21')] ).
cnf(46,plain,
( unorthogonal_lines(A,orthogonal_through_point(B,C))
| unorthogonal_lines(A,B) ),
inference(hyper,[status(thm)],[45,28]),
[iquote('hyper,45,28')] ).
cnf(47,plain,
( distinct_lines(A,B)
| convergent_lines(orthogonal_through_point(A,C),B) ),
inference(hyper,[status(thm)],[45,14]),
[iquote('hyper,45,14')] ).
cnf(48,plain,
( convergent_lines(orthogonal_through_point(A,B),C)
| convergent_lines(A,C) ),
inference(hyper,[status(thm)],[45,6]),
[iquote('hyper,45,6')] ).
cnf(49,plain,
distinct_lines(parallel_through_point(dollar_c1,dollar_c2),orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2)),
inference(hyper,[status(thm)],[41,38]),
[iquote('hyper,41,38')] ).
cnf(53,plain,
orthogonal_lines(orthogonal_through_point(A,B),A),
inference(hyper,[status(thm)],[44,21]),
[iquote('hyper,44,21')] ).
cnf(57,plain,
( convergent_lines(orthogonal_through_point(A,B),C)
| distinct_lines(A,D)
| distinct_lines(C,D) ),
inference(hyper,[status(thm)],[47,5]),
[iquote('hyper,47,5')] ).
cnf(85,plain,
( convergent_lines(orthogonal_through_point(A,B),C)
| unorthogonal_lines(D,A)
| convergent_lines(D,C)
| orthogonal_lines(A,C) ),
inference(hyper,[status(thm)],[48,26,44]),
[iquote('hyper,48,26,44')] ).
cnf(121,plain,
( convergent_lines(orthogonal_through_point(A,B),C)
| orthogonal_lines(A,C) ),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[85]),21]),
[iquote('factor,85.1.3,unit_del,21')] ).
cnf(142,plain,
convergent_lines(parallel_through_point(dollar_c1,dollar_c2),orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2)),
inference(hyper,[status(thm)],[49,15]),
[iquote('hyper,49,15')] ).
cnf(296,plain,
( unorthogonal_lines(parallel_through_point(dollar_c1,dollar_c2),A)
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2),A)
| unorthogonal_lines(parallel_through_point(dollar_c1,dollar_c2),orthogonal_through_point(dollar_c1,dollar_c2)) ),
inference(hyper,[status(thm)],[142,20,46]),
[iquote('hyper,142,20,46')] ).
cnf(312,plain,
unorthogonal_lines(parallel_through_point(dollar_c1,dollar_c2),orthogonal_through_point(dollar_c1,dollar_c2)),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[296]),21]),
[iquote('factor,296.1.3,unit_del,21')] ).
cnf(313,plain,
convergent_lines(orthogonal_through_point(parallel_through_point(dollar_c1,dollar_c2),A),orthogonal_through_point(dollar_c1,dollar_c2)),
inference(hyper,[status(thm)],[312,37,121]),
[iquote('hyper,312,37,121')] ).
cnf(324,plain,
( convergent_lines(orthogonal_through_point(A,B),C)
| distinct_lines(C,A) ),
inference(hyper,[status(thm)],[57,2]),
[iquote('hyper,57,2')] ).
cnf(331,plain,
( convergent_lines(orthogonal_through_point(A,B),C)
| convergent_lines(C,A) ),
inference(hyper,[status(thm)],[324,15]),
[iquote('hyper,324,15')] ).
cnf(466,plain,
( convergent_lines(A,B)
| unorthogonal_lines(orthogonal_through_point(B,C),D)
| convergent_lines(A,D)
| orthogonal_lines(orthogonal_through_point(B,C),A) ),
inference(hyper,[status(thm)],[331,19,44]),
[iquote('hyper,331,19,44')] ).
cnf(536,plain,
( convergent_lines(A,B)
| orthogonal_lines(orthogonal_through_point(B,C),A) ),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[466]),21]),
[iquote('factor,466.1.3,unit_del,21')] ).
cnf(738,plain,
( unorthogonal_lines(orthogonal_through_point(parallel_through_point(dollar_c1,dollar_c2),A),B)
| unorthogonal_lines(orthogonal_through_point(dollar_c1,dollar_c2),B)
| unorthogonal_lines(orthogonal_through_point(parallel_through_point(dollar_c1,dollar_c2),A),dollar_c1) ),
inference(hyper,[status(thm)],[313,20,46]),
[iquote('hyper,313,20,46')] ).
cnf(764,plain,
unorthogonal_lines(orthogonal_through_point(parallel_through_point(dollar_c1,dollar_c2),A),dollar_c1),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[738]),21]),
[iquote('factor,738.1.3,unit_del,21')] ).
cnf(767,plain,
convergent_lines(dollar_c1,parallel_through_point(dollar_c1,dollar_c2)),
inference(hyper,[status(thm)],[764,37,536]),
[iquote('hyper,764,37,536')] ).
cnf(775,plain,
( unorthogonal_lines(A,dollar_c1)
| unorthogonal_lines(A,parallel_through_point(dollar_c1,dollar_c2)) ),
inference(hyper,[status(thm)],[767,28]),
[iquote('hyper,767,28')] ).
cnf(859,plain,
unorthogonal_lines(orthogonal_through_point(dollar_c1,A),parallel_through_point(dollar_c1,dollar_c2)),
inference(hyper,[status(thm)],[775,37,53]),
[iquote('hyper,775,37,53')] ).
cnf(917,plain,
convergent_lines(parallel_through_point(dollar_c1,dollar_c2),dollar_c1),
inference(hyper,[status(thm)],[859,37,536]),
[iquote('hyper,859,37,536')] ).
cnf(918,plain,
$false,
inference(binary,[status(thm)],[917,16]),
[iquote('binary,917.1,16.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO223+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 07:13:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.74/1.94 ----- Otter 3.3f, August 2004 -----
% 1.74/1.94 The process was started by sandbox2 on n007.cluster.edu,
% 1.74/1.94 Wed Jul 27 07:13:16 2022
% 1.74/1.94 The command was "./otter". The process ID is 9724.
% 1.74/1.94
% 1.74/1.94 set(prolog_style_variables).
% 1.74/1.94 set(auto).
% 1.74/1.94 dependent: set(auto1).
% 1.74/1.94 dependent: set(process_input).
% 1.74/1.94 dependent: clear(print_kept).
% 1.74/1.94 dependent: clear(print_new_demod).
% 1.74/1.94 dependent: clear(print_back_demod).
% 1.74/1.94 dependent: clear(print_back_sub).
% 1.74/1.94 dependent: set(control_memory).
% 1.74/1.94 dependent: assign(max_mem, 12000).
% 1.74/1.94 dependent: assign(pick_given_ratio, 4).
% 1.74/1.94 dependent: assign(stats_level, 1).
% 1.74/1.94 dependent: assign(max_seconds, 10800).
% 1.74/1.94 clear(print_given).
% 1.74/1.94
% 1.74/1.94 formula_list(usable).
% 1.74/1.94 all X (-distinct_points(X,X)).
% 1.74/1.94 all X (-distinct_lines(X,X)).
% 1.74/1.94 all X (-convergent_lines(X,X)).
% 1.74/1.94 all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 1.74/1.94 all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 1.74/1.94 all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 1.74/1.94 all X Y (distinct_points(X,Y)-> -apart_point_and_line(X,line_connecting(X,Y))).
% 1.74/1.94 all X Y (distinct_points(X,Y)-> -apart_point_and_line(Y,line_connecting(X,Y))).
% 1.74/1.94 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),X)).
% 1.74/1.94 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),Y)).
% 1.74/1.94 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)).
% 1.74/1.94 all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 1.74/1.94 all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 1.74/1.94 all X Y Z (convergent_lines(X,Y)->distinct_lines(Y,Z)|convergent_lines(X,Z)).
% 1.74/1.94 all X Y (distinct_lines(X,Y)->convergent_lines(X,Y)).
% 1.74/1.94 all X Y (-convergent_lines(parallel_through_point(Y,X),Y)).
% 1.74/1.94 all X Y (-apart_point_and_line(X,parallel_through_point(Y,X))).
% 1.74/1.94 all X Y Z (distinct_lines(Y,Z)->apart_point_and_line(X,Y)|apart_point_and_line(X,Z)|convergent_lines(Y,Z)).
% 1.74/1.94 all L M (convergent_lines(L,M)|unorthogonal_lines(L,M)).
% 1.74/1.94 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)).
% 1.74/1.94 all A L (-unorthogonal_lines(orthogonal_through_point(L,A),L)).
% 1.74/1.94 all A L (-apart_point_and_line(A,orthogonal_through_point(L,A))).
% 1.74/1.94 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)).
% 1.74/1.94 all L M (-(-convergent_lines(L,M)& -unorthogonal_lines(L,M))).
% 1.74/1.94 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)).
% 1.74/1.94 all L M N (-unorthogonal_lines(L,M)& -unorthogonal_lines(L,N)-> -convergent_lines(M,N)).
% 1.74/1.94 all A B (point(A)&point(B)&distinct_points(A,B)->line(line_connecting(A,B))).
% 1.74/1.94 all L M (line(L)&line(M)&convergent_lines(L,M)->point(intersection_point(L,M))).
% 1.74/1.94 all L A (line(L)&point(A)->line(parallel_through_point(L,A))).
% 1.74/1.94 all L A (line(L)&point(A)->line(orthogonal_through_point(L,A))).
% 1.74/1.94 all X Y (e_qual_points(X,Y)<-> -distinct_points(X,Y)).
% 1.74/1.94 all X Y (e_qual_lines(X,Y)<-> -distinct_lines(X,Y)).
% 1.74/1.94 all X Y (parallel_lines(X,Y)<-> -convergent_lines(X,Y)).
% 1.74/1.94 all X Y (incident_point_and_line(X,Y)<-> -apart_point_and_line(X,Y)).
% 1.74/1.94 all X Y (orthogonal_lines(X,Y)<-> -unorthogonal_lines(X,Y)).
% 1.74/1.94 -(all A L e_qual_lines(parallel_through_point(L,A),orthogonal_through_point(orthogonal_through_point(L,A),A))).
% 1.74/1.94 end_of_list.
% 1.74/1.94
% 1.74/1.94 -------> usable clausifies to:
% 1.74/1.94
% 1.74/1.94 list(usable).
% 1.74/1.94 0 [] -distinct_points(X,X).
% 1.74/1.94 0 [] -distinct_lines(X,X).
% 1.74/1.94 0 [] -convergent_lines(X,X).
% 1.74/1.94 0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 1.74/1.94 0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 1.74/1.94 0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 1.74/1.94 0 [] -distinct_points(X,Y)| -apart_point_and_line(X,line_connecting(X,Y)).
% 1.74/1.94 0 [] -distinct_points(X,Y)| -apart_point_and_line(Y,line_connecting(X,Y)).
% 1.74/1.94 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),X).
% 1.74/1.94 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),Y).
% 1.74/1.94 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).
% 1.74/1.94 0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 1.74/1.94 0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 1.74/1.94 0 [] -convergent_lines(X,Y)|distinct_lines(Y,Z)|convergent_lines(X,Z).
% 1.74/1.94 0 [] -distinct_lines(X,Y)|convergent_lines(X,Y).
% 1.74/1.94 0 [] -convergent_lines(parallel_through_point(Y,X),Y).
% 1.74/1.94 0 [] -apart_point_and_line(X,parallel_through_point(Y,X)).
% 1.74/1.94 0 [] -distinct_lines(Y,Z)|apart_point_and_line(X,Y)|apart_point_and_line(X,Z)|convergent_lines(Y,Z).
% 1.74/1.94 0 [] convergent_lines(L,M)|unorthogonal_lines(L,M).
% 1.74/1.94 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|convergent_lines(L,N)|convergent_lines(M,N).
% 1.74/1.94 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|convergent_lines(L,N)|unorthogonal_lines(M,N).
% 1.74/1.94 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|unorthogonal_lines(L,N)|convergent_lines(M,N).
% 1.74/1.94 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|unorthogonal_lines(L,N)|unorthogonal_lines(M,N).
% 1.74/1.94 0 [] -unorthogonal_lines(orthogonal_through_point(L,A),L).
% 1.74/1.94 0 [] -apart_point_and_line(A,orthogonal_through_point(L,A)).
% 1.74/1.94 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).
% 1.74/1.94 0 [] convergent_lines(L,M)|unorthogonal_lines(L,M).
% 1.74/1.94 0 [] convergent_lines(L,M)|convergent_lines(L,N)| -convergent_lines(M,N)| -unorthogonal_lines(M,N).
% 1.74/1.94 0 [] convergent_lines(L,M)|unorthogonal_lines(L,N)| -convergent_lines(M,N)| -unorthogonal_lines(M,N).
% 1.74/1.94 0 [] unorthogonal_lines(L,M)|convergent_lines(L,N)| -convergent_lines(M,N)| -unorthogonal_lines(M,N).
% 1.74/1.94 0 [] unorthogonal_lines(L,M)|unorthogonal_lines(L,N)| -convergent_lines(M,N)| -unorthogonal_lines(M,N).
% 1.74/1.94 0 [] unorthogonal_lines(L,M)|unorthogonal_lines(L,N)| -convergent_lines(M,N).
% 1.74/1.94 0 [] -point(A)| -point(B)| -distinct_points(A,B)|line(line_connecting(A,B)).
% 1.74/1.94 0 [] -line(L)| -line(M)| -convergent_lines(L,M)|point(intersection_point(L,M)).
% 1.74/1.94 0 [] -line(L)| -point(A)|line(parallel_through_point(L,A)).
% 1.74/1.94 0 [] -line(L)| -point(A)|line(orthogonal_through_point(L,A)).
% 1.74/1.94 0 [] -e_qual_points(X,Y)| -distinct_points(X,Y).
% 1.74/1.94 0 [] e_qual_points(X,Y)|distinct_points(X,Y).
% 1.74/1.94 0 [] -e_qual_lines(X,Y)| -distinct_lines(X,Y).
% 1.74/1.94 0 [] e_qual_lines(X,Y)|distinct_lines(X,Y).
% 1.74/1.94 0 [] -parallel_lines(X,Y)| -convergent_lines(X,Y).
% 1.74/1.94 0 [] parallel_lines(X,Y)|convergent_lines(X,Y).
% 1.74/1.94 0 [] -incident_point_and_line(X,Y)| -apart_point_and_line(X,Y).
% 1.74/1.94 0 [] incident_point_and_line(X,Y)|apart_point_and_line(X,Y).
% 1.74/1.94 0 [] -orthogonal_lines(X,Y)| -unorthogonal_lines(X,Y).
% 1.74/1.94 0 [] orthogonal_lines(X,Y)|unorthogonal_lines(X,Y).
% 1.74/1.94 0 [] -e_qual_lines(parallel_through_point($c1,$c2),orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2)).
% 1.74/1.94 end_of_list.
% 1.74/1.94
% 1.74/1.94 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.74/1.94
% 1.74/1.94 This is a non-Horn set without equality. The strategy will
% 1.74/1.94 be ordered hyper_res, unit deletion, and factoring, with
% 1.74/1.94 satellites in sos and with nuclei in usable.
% 1.74/1.94
% 1.74/1.94 dependent: set(hyper_res).
% 1.74/1.94 dependent: set(factor).
% 1.74/1.94 dependent: set(unit_deletion).
% 1.74/1.94
% 1.74/1.94 ------------> process usable:
% 1.74/1.94 ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 1.74/1.94 ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 1.74/1.94 ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 1.74/1.94 ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.74/1.94 ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 1.74/1.94 ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 1.74/1.94 ** KEPT (pick-wt=8): 7 [] -distinct_points(A,B)| -apart_point_and_line(A,line_connecting(A,B)).
% 1.74/1.94 ** KEPT (pick-wt=8): 8 [] -distinct_points(A,B)| -apart_point_and_line(B,line_connecting(A,B)).
% 1.74/1.94 ** KEPT (pick-wt=8): 9 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),A).
% 1.74/1.94 ** KEPT (pick-wt=8): 10 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),B).
% 1.74/1.94 ** 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).
% 1.91/2.09 ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 1.91/2.09 ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 1.91/2.09 ** KEPT (pick-wt=9): 14 [] -convergent_lines(A,B)|distinct_lines(B,C)|convergent_lines(A,C).
% 1.91/2.09 ** KEPT (pick-wt=6): 15 [] -distinct_lines(A,B)|convergent_lines(A,B).
% 1.91/2.09 ** KEPT (pick-wt=5): 16 [] -convergent_lines(parallel_through_point(A,B),A).
% 1.91/2.09 ** KEPT (pick-wt=5): 17 [] -apart_point_and_line(A,parallel_through_point(B,A)).
% 1.91/2.09 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).
% 1.91/2.09 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).
% 1.91/2.09 ** KEPT (pick-wt=12): 18 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|convergent_lines(A,C)|unorthogonal_lines(B,C).
% 1.91/2.09 ** KEPT (pick-wt=12): 19 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|unorthogonal_lines(A,C)|convergent_lines(B,C).
% 1.91/2.09 ** KEPT (pick-wt=12): 20 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|unorthogonal_lines(A,C)|unorthogonal_lines(B,C).
% 1.91/2.09 ** KEPT (pick-wt=5): 21 [] -unorthogonal_lines(orthogonal_through_point(A,B),A).
% 1.91/2.09 ** KEPT (pick-wt=5): 22 [] -apart_point_and_line(A,orthogonal_through_point(B,A)).
% 1.91/2.09 ** 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).
% 1.91/2.09 ** KEPT (pick-wt=12): 24 [] convergent_lines(A,B)|convergent_lines(A,C)| -convergent_lines(B,C)| -unorthogonal_lines(B,C).
% 1.91/2.09 ** KEPT (pick-wt=12): 25 [] convergent_lines(A,B)|unorthogonal_lines(A,C)| -convergent_lines(B,C)| -unorthogonal_lines(B,C).
% 1.91/2.09 ** KEPT (pick-wt=12): 26 [] unorthogonal_lines(A,B)|convergent_lines(A,C)| -convergent_lines(B,C)| -unorthogonal_lines(B,C).
% 1.91/2.09 ** KEPT (pick-wt=12): 27 [] unorthogonal_lines(A,B)|unorthogonal_lines(A,C)| -convergent_lines(B,C)| -unorthogonal_lines(B,C).
% 1.91/2.09 ** KEPT (pick-wt=9): 28 [] unorthogonal_lines(A,B)|unorthogonal_lines(A,C)| -convergent_lines(B,C).
% 1.91/2.09 ** KEPT (pick-wt=11): 29 [] -point(A)| -point(B)| -distinct_points(A,B)|line(line_connecting(A,B)).
% 1.91/2.09 ** KEPT (pick-wt=11): 30 [] -line(A)| -line(B)| -convergent_lines(A,B)|point(intersection_point(A,B)).
% 1.91/2.09 ** KEPT (pick-wt=8): 31 [] -line(A)| -point(B)|line(parallel_through_point(A,B)).
% 1.91/2.09 ** KEPT (pick-wt=8): 32 [] -line(A)| -point(B)|line(orthogonal_through_point(A,B)).
% 1.91/2.09 ** KEPT (pick-wt=6): 33 [] -e_qual_points(A,B)| -distinct_points(A,B).
% 1.91/2.09 ** KEPT (pick-wt=6): 34 [] -e_qual_lines(A,B)| -distinct_lines(A,B).
% 1.91/2.09 ** KEPT (pick-wt=6): 35 [] -parallel_lines(A,B)| -convergent_lines(A,B).
% 1.91/2.09 ** KEPT (pick-wt=6): 36 [] -incident_point_and_line(A,B)| -apart_point_and_line(A,B).
% 1.91/2.09 ** KEPT (pick-wt=6): 37 [] -orthogonal_lines(A,B)| -unorthogonal_lines(A,B).
% 1.91/2.09 ** KEPT (pick-wt=9): 38 [] -e_qual_lines(parallel_through_point($c1,$c2),orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2)).
% 1.91/2.09 28 back subsumes 27.
% 1.91/2.09
% 1.91/2.09 ------------> process sos:
% 1.91/2.09 ** KEPT (pick-wt=6): 39 [] convergent_lines(A,B)|unorthogonal_lines(A,B).
% 1.91/2.09 Following clause subsumed by 39 during input processing: 0 [] convergent_lines(A,B)|unorthogonal_lines(A,B).
% 1.91/2.09 ** KEPT (pick-wt=6): 40 [] e_qual_points(A,B)|distinct_points(A,B).
% 1.91/2.09 ** KEPT (pick-wt=6): 41 [] e_qual_lines(A,B)|distinct_lines(A,B).
% 1.91/2.09 ** KEPT (pick-wt=6): 42 [] parallel_lines(A,B)|convergent_lines(A,B).
% 1.91/2.09 ** KEPT (pick-wt=6): 43 [] incident_point_and_line(A,B)|apart_point_and_line(A,B).
% 1.91/2.09 ** KEPT (pick-wt=6): 44 [] orthogonal_lines(A,B)|unorthogonal_lines(A,B).
% 1.91/2.09
% 1.91/2.09 ======= end of input processing =======
% 1.91/2.09
% 1.91/2.09 =========== start of search ===========
% 1.91/2.09
% 1.91/2.09 -------- PROOF --------
% 1.91/2.09
% 1.91/2.09 ----> UNIT CONFLICT at 0.15 sec ----> 918 [binary,917.1,16.1] $F.
% 1.91/2.09
% 1.91/2.09 Length of proof is 23. Level of proof is 11.
% 1.91/2.09
% 1.91/2.09 ---------------- PROOF ----------------
% 1.91/2.09 % SZS status Theorem
% 1.91/2.09 % SZS output start Refutation
% See solution above
% 1.91/2.09 ------------ end of proof -------------
% 1.91/2.09
% 1.91/2.09
% 1.91/2.09 Search stopped by max_proofs option.
% 1.91/2.09
% 1.91/2.09
% 1.91/2.09 Search stopped by max_proofs option.
% 1.91/2.09
% 1.91/2.09 ============ end of search ============
% 1.91/2.09
% 1.91/2.09 -------------- statistics -------------
% 1.91/2.09 clauses given 43
% 1.91/2.09 clauses generated 2419
% 1.91/2.09 clauses kept 917
% 1.91/2.09 clauses forward subsumed 1549
% 1.91/2.09 clauses back subsumed 260
% 1.91/2.09 Kbytes malloced 1953
% 1.91/2.09
% 1.91/2.09 ----------- times (seconds) -----------
% 1.91/2.09 user CPU time 0.15 (0 hr, 0 min, 0 sec)
% 1.91/2.09 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.91/2.09 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.91/2.09
% 1.91/2.09 That finishes the proof of the theorem.
% 1.91/2.09
% 1.91/2.09 Process 9724 finished Wed Jul 27 07:13:18 2022
% 1.91/2.09 Otter interrupted
% 1.91/2.09 PROOF FOUND
%------------------------------------------------------------------------------