TSTP Solution File: GEO202+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO202+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n017.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 12:54:47 EDT 2022
% Result : Theorem 85.38s 85.59s
% Output : Refutation 85.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of clauses : 51 ( 12 unt; 34 nHn; 23 RR)
% Number of literals : 132 ( 0 equ; 16 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 79 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ distinct_points(A,A),
file('GEO202+2.p',unknown),
[] ).
cnf(3,axiom,
~ convergent_lines(A,A),
file('GEO202+2.p',unknown),
[] ).
cnf(4,axiom,
( ~ distinct_points(A,B)
| distinct_points(A,C)
| distinct_points(B,C) ),
file('GEO202+2.p',unknown),
[] ).
cnf(6,axiom,
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
file('GEO202+2.p',unknown),
[] ).
cnf(7,axiom,
( ~ distinct_points(A,B)
| ~ apart_point_and_line(C,line_connecting(A,B))
| distinct_points(C,A) ),
file('GEO202+2.p',unknown),
[] ).
cnf(8,axiom,
( ~ distinct_points(A,B)
| ~ apart_point_and_line(C,line_connecting(A,B))
| distinct_points(C,B) ),
file('GEO202+2.p',unknown),
[] ).
cnf(9,axiom,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(C,A)
| distinct_points(C,intersection_point(A,B)) ),
file('GEO202+2.p',unknown),
[] ).
cnf(10,axiom,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(C,B)
| distinct_points(C,intersection_point(A,B)) ),
file('GEO202+2.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('GEO202+2.p',unknown),
[] ).
cnf(12,axiom,
( ~ apart_point_and_line(A,B)
| distinct_points(A,C)
| apart_point_and_line(C,B) ),
file('GEO202+2.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(A,B)
| distinct_lines(A,B) ),
file('GEO202+2.p',unknown),
[] ).
cnf(15,axiom,
distinct_points(dollar_c3,dollar_c2),
file('GEO202+2.p',unknown),
[] ).
cnf(16,axiom,
distinct_points(dollar_c3,dollar_c1),
file('GEO202+2.p',unknown),
[] ).
cnf(17,axiom,
convergent_lines(line_connecting(dollar_c3,dollar_c2),line_connecting(dollar_c3,dollar_c1)),
file('GEO202+2.p',unknown),
[] ).
cnf(18,axiom,
distinct_points(intersection_point(line_connecting(dollar_c3,dollar_c2),line_connecting(dollar_c3,dollar_c1)),dollar_c3),
file('GEO202+2.p',unknown),
[] ).
cnf(19,plain,
( distinct_points(dollar_c3,A)
| distinct_points(dollar_c2,A) ),
inference(hyper,[status(thm)],[15,4]),
[iquote('hyper,15,4')] ).
cnf(20,plain,
( distinct_points(dollar_c3,A)
| distinct_points(dollar_c1,A) ),
inference(hyper,[status(thm)],[16,4]),
[iquote('hyper,16,4')] ).
cnf(21,plain,
( distinct_points(dollar_c2,A)
| distinct_points(dollar_c3,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[19,4]),
[iquote('hyper,19,4')] ).
cnf(22,plain,
distinct_points(dollar_c2,dollar_c3),
inference(hyper,[status(thm)],[19,1]),
[iquote('hyper,19,1')] ).
cnf(24,plain,
( distinct_points(dollar_c1,A)
| distinct_points(dollar_c3,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[20,4]),
[iquote('hyper,20,4')] ).
cnf(27,plain,
distinct_lines(line_connecting(dollar_c3,dollar_c2),line_connecting(dollar_c3,dollar_c1)),
inference(hyper,[status(thm)],[17,14]),
[iquote('hyper,17,14')] ).
cnf(28,plain,
( convergent_lines(line_connecting(dollar_c3,dollar_c2),A)
| convergent_lines(line_connecting(dollar_c3,dollar_c1),A) ),
inference(hyper,[status(thm)],[17,6]),
[iquote('hyper,17,6')] ).
cnf(30,plain,
( apart_point_and_line(dollar_c2,line_connecting(dollar_c3,dollar_c2))
| apart_point_and_line(dollar_c2,line_connecting(dollar_c3,dollar_c1))
| apart_point_and_line(dollar_c3,line_connecting(dollar_c3,dollar_c2))
| apart_point_and_line(dollar_c3,line_connecting(dollar_c3,dollar_c1)) ),
inference(hyper,[status(thm)],[27,11,22]),
[iquote('hyper,27,11,22')] ).
cnf(36,plain,
( apart_point_and_line(intersection_point(line_connecting(dollar_c3,dollar_c2),line_connecting(dollar_c3,dollar_c1)),line_connecting(dollar_c3,dollar_c2))
| apart_point_and_line(intersection_point(line_connecting(dollar_c3,dollar_c2),line_connecting(dollar_c3,dollar_c1)),line_connecting(dollar_c3,dollar_c1))
| apart_point_and_line(dollar_c3,line_connecting(dollar_c3,dollar_c2))
| apart_point_and_line(dollar_c3,line_connecting(dollar_c3,dollar_c1)) ),
inference(hyper,[status(thm)],[18,11,27]),
[iquote('hyper,18,11,27')] ).
cnf(42,plain,
( distinct_points(dollar_c2,A)
| distinct_points(A,dollar_c3) ),
inference(hyper,[status(thm)],[21,1]),
[iquote('hyper,21,1')] ).
cnf(50,plain,
( distinct_points(A,dollar_c3)
| distinct_points(dollar_c2,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[42,4]),
[iquote('hyper,42,4')] ).
cnf(57,plain,
( distinct_points(dollar_c1,A)
| distinct_points(A,dollar_c3) ),
inference(hyper,[status(thm)],[24,1]),
[iquote('hyper,24,1')] ).
cnf(62,plain,
( distinct_points(A,dollar_c3)
| distinct_points(dollar_c1,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[57,4]),
[iquote('hyper,57,4')] ).
cnf(69,plain,
( distinct_points(A,dollar_c3)
| distinct_points(A,B)
| distinct_points(dollar_c2,C)
| distinct_points(B,C) ),
inference(hyper,[status(thm)],[50,4]),
[iquote('hyper,50,4')] ).
cnf(70,plain,
( distinct_points(A,dollar_c3)
| distinct_points(A,dollar_c2) ),
inference(hyper,[status(thm)],[50,1]),
[iquote('hyper,50,1')] ).
cnf(78,plain,
( convergent_lines(line_connecting(dollar_c3,dollar_c1),A)
| convergent_lines(line_connecting(dollar_c3,dollar_c2),B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[28,6]),
[iquote('hyper,28,6')] ).
cnf(84,plain,
( distinct_points(A,dollar_c3)
| distinct_points(A,B)
| distinct_points(dollar_c1,C)
| distinct_points(B,C) ),
inference(hyper,[status(thm)],[62,4]),
[iquote('hyper,62,4')] ).
cnf(241,plain,
( apart_point_and_line(dollar_c2,line_connecting(dollar_c3,dollar_c1))
| apart_point_and_line(dollar_c3,line_connecting(dollar_c3,dollar_c2))
| apart_point_and_line(dollar_c3,line_connecting(dollar_c3,dollar_c1)) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[30,8,70]),1,1]),
[iquote('hyper,30,8,70,unit_del,1,1')] ).
cnf(450,plain,
( distinct_points(A,dollar_c3)
| distinct_points(A,B)
| distinct_points(B,dollar_c2) ),
inference(hyper,[status(thm)],[69,1]),
[iquote('hyper,69,1')] ).
cnf(509,plain,
( apart_point_and_line(intersection_point(line_connecting(dollar_c3,dollar_c2),line_connecting(dollar_c3,dollar_c1)),line_connecting(dollar_c3,dollar_c1))
| apart_point_and_line(dollar_c3,line_connecting(dollar_c3,dollar_c2))
| apart_point_and_line(dollar_c3,line_connecting(dollar_c3,dollar_c1)) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[36,9,17]),1]),
[iquote('hyper,36,9,17,unit_del,1')] ).
cnf(538,plain,
( distinct_points(A,dollar_c3)
| distinct_points(A,B)
| distinct_points(B,C)
| distinct_points(dollar_c1,D)
| distinct_points(C,D) ),
inference(hyper,[status(thm)],[84,4]),
[iquote('hyper,84,4')] ).
cnf(539,plain,
( distinct_points(A,dollar_c3)
| distinct_points(A,B)
| distinct_points(B,dollar_c1) ),
inference(hyper,[status(thm)],[84,1]),
[iquote('hyper,84,1')] ).
cnf(688,plain,
( convergent_lines(line_connecting(dollar_c3,dollar_c1),A)
| convergent_lines(line_connecting(dollar_c3,dollar_c2),B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
inference(hyper,[status(thm)],[78,6]),
[iquote('hyper,78,6')] ).
cnf(689,plain,
( convergent_lines(line_connecting(dollar_c3,dollar_c2),A)
| convergent_lines(A,line_connecting(dollar_c3,dollar_c1)) ),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[688]),3]),
[iquote('factor,688.1.3,unit_del,3')] ).
cnf(4406,plain,
( apart_point_and_line(dollar_c2,line_connecting(dollar_c3,dollar_c1))
| apart_point_and_line(dollar_c3,line_connecting(dollar_c3,dollar_c1)) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[241,7,450]),1,1,1]),
[iquote('hyper,241,7,450,unit_del,1,1,1')] ).
cnf(4450,plain,
apart_point_and_line(dollar_c2,line_connecting(dollar_c3,dollar_c1)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4406,7,539]),1,1,1]),
[iquote('hyper,4406,7,539,unit_del,1,1,1')] ).
cnf(4452,plain,
( distinct_points(dollar_c2,A)
| apart_point_and_line(A,line_connecting(dollar_c3,dollar_c1)) ),
inference(hyper,[status(thm)],[4450,12]),
[iquote('hyper,4450,12')] ).
cnf(4472,plain,
( apart_point_and_line(A,line_connecting(dollar_c3,dollar_c1))
| distinct_points(dollar_c2,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[4452,4]),
[iquote('hyper,4452,4')] ).
cnf(4480,plain,
( apart_point_and_line(A,line_connecting(dollar_c3,dollar_c1))
| distinct_points(A,B)
| distinct_points(dollar_c2,C)
| distinct_points(B,C) ),
inference(hyper,[status(thm)],[4472,4]),
[iquote('hyper,4472,4')] ).
cnf(4499,plain,
( apart_point_and_line(A,line_connecting(dollar_c3,dollar_c1))
| distinct_points(A,B)
| distinct_points(B,dollar_c2) ),
inference(hyper,[status(thm)],[4480,1]),
[iquote('hyper,4480,1')] ).
cnf(4525,plain,
( distinct_points(A,dollar_c3)
| distinct_points(A,B)
| distinct_points(B,C)
| distinct_points(C,dollar_c1) ),
inference(hyper,[status(thm)],[538,1]),
[iquote('hyper,538,1')] ).
cnf(4526,plain,
( distinct_points(A,dollar_c3)
| distinct_points(B,C)
| distinct_points(C,dollar_c1)
| distinct_points(A,D)
| distinct_points(B,D) ),
inference(hyper,[status(thm)],[4525,4]),
[iquote('hyper,4525,4')] ).
cnf(5173,plain,
( apart_point_and_line(dollar_c3,line_connecting(dollar_c3,dollar_c2))
| apart_point_and_line(dollar_c3,line_connecting(dollar_c3,dollar_c1)) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[509,10,689]),1,3]),
[iquote('hyper,509,10,689,unit_del,1,3')] ).
cnf(5215,plain,
apart_point_and_line(dollar_c3,line_connecting(dollar_c3,dollar_c1)),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5173,7,4499]),1,1])]),
[iquote('hyper,5173,7,4499,unit_del,1,1,factor_simp')] ).
cnf(5308,plain,
distinct_points(A,dollar_c3),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5215,7,4526]),1])])])]),
[iquote('hyper,5215,7,4526,unit_del,1,factor_simp,factor_simp,factor_simp')] ).
cnf(5309,plain,
$false,
inference(binary,[status(thm)],[5308,1]),
[iquote('binary,5308.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO202+2 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n017.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 06:25:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.62/1.84 ----- Otter 3.3f, August 2004 -----
% 1.62/1.84 The process was started by sandbox on n017.cluster.edu,
% 1.62/1.84 Wed Jul 27 06:25:18 2022
% 1.62/1.84 The command was "./otter". The process ID is 31478.
% 1.62/1.84
% 1.62/1.84 set(prolog_style_variables).
% 1.62/1.84 set(auto).
% 1.62/1.84 dependent: set(auto1).
% 1.62/1.84 dependent: set(process_input).
% 1.62/1.84 dependent: clear(print_kept).
% 1.62/1.84 dependent: clear(print_new_demod).
% 1.62/1.84 dependent: clear(print_back_demod).
% 1.62/1.84 dependent: clear(print_back_sub).
% 1.62/1.84 dependent: set(control_memory).
% 1.62/1.84 dependent: assign(max_mem, 12000).
% 1.62/1.84 dependent: assign(pick_given_ratio, 4).
% 1.62/1.84 dependent: assign(stats_level, 1).
% 1.62/1.84 dependent: assign(max_seconds, 10800).
% 1.62/1.84 clear(print_given).
% 1.62/1.84
% 1.62/1.84 formula_list(usable).
% 1.62/1.84 all X (-distinct_points(X,X)).
% 1.62/1.84 all X (-distinct_lines(X,X)).
% 1.62/1.84 all X (-convergent_lines(X,X)).
% 1.62/1.84 all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 1.62/1.84 all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 1.62/1.84 all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 1.62/1.84 all X Y Z (distinct_points(X,Y)-> (apart_point_and_line(Z,line_connecting(X,Y))->distinct_points(Z,X)&distinct_points(Z,Y))).
% 1.62/1.84 all X Y Z (convergent_lines(X,Y)-> (apart_point_and_line(Z,X)|apart_point_and_line(Z,Y)->distinct_points(Z,intersection_point(X,Y)))).
% 1.62/1.84 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)).
% 1.62/1.84 all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 1.62/1.84 all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 1.62/1.84 all X Y (convergent_lines(X,Y)->distinct_lines(X,Y)).
% 1.62/1.84 -(all X Y Z (distinct_points(X,Y)&distinct_points(X,Z)&convergent_lines(line_connecting(X,Y),line_connecting(X,Z))-> -distinct_points(intersection_point(line_connecting(X,Y),line_connecting(X,Z)),X))).
% 1.62/1.84 end_of_list.
% 1.62/1.84
% 1.62/1.84 -------> usable clausifies to:
% 1.62/1.84
% 1.62/1.84 list(usable).
% 1.62/1.84 0 [] -distinct_points(X,X).
% 1.62/1.84 0 [] -distinct_lines(X,X).
% 1.62/1.84 0 [] -convergent_lines(X,X).
% 1.62/1.84 0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 1.62/1.84 0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 1.62/1.84 0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 1.62/1.84 0 [] -distinct_points(X,Y)| -apart_point_and_line(Z,line_connecting(X,Y))|distinct_points(Z,X).
% 1.62/1.84 0 [] -distinct_points(X,Y)| -apart_point_and_line(Z,line_connecting(X,Y))|distinct_points(Z,Y).
% 1.62/1.84 0 [] -convergent_lines(X,Y)| -apart_point_and_line(Z,X)|distinct_points(Z,intersection_point(X,Y)).
% 1.62/1.84 0 [] -convergent_lines(X,Y)| -apart_point_and_line(Z,Y)|distinct_points(Z,intersection_point(X,Y)).
% 1.62/1.84 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).
% 1.62/1.84 0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 1.62/1.84 0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 1.62/1.84 0 [] -convergent_lines(X,Y)|distinct_lines(X,Y).
% 1.62/1.84 0 [] distinct_points($c3,$c2).
% 1.62/1.84 0 [] distinct_points($c3,$c1).
% 1.62/1.84 0 [] convergent_lines(line_connecting($c3,$c2),line_connecting($c3,$c1)).
% 1.62/1.84 0 [] distinct_points(intersection_point(line_connecting($c3,$c2),line_connecting($c3,$c1)),$c3).
% 1.62/1.84 end_of_list.
% 1.62/1.84
% 1.62/1.84 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.62/1.84
% 1.62/1.84 This is a non-Horn set without equality. The strategy will
% 1.62/1.84 be ordered hyper_res, unit deletion, and factoring, with
% 1.62/1.84 satellites in sos and with nuclei in usable.
% 1.62/1.84
% 1.62/1.84 dependent: set(hyper_res).
% 1.62/1.84 dependent: set(factor).
% 1.62/1.84 dependent: set(unit_deletion).
% 1.62/1.84
% 1.62/1.84 ------------> process usable:
% 1.62/1.84 ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 1.62/1.84 ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 1.62/1.84 ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 1.62/1.84 ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.62/1.84 ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 1.62/1.84 ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 1.62/1.84 ** KEPT (pick-wt=11): 7 [] -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,A).
% 1.62/1.84 ** KEPT (pick-wt=11): 8 [] -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,B).
% 85.38/85.59 ** KEPT (pick-wt=11): 9 [] -convergent_lines(A,B)| -apart_point_and_line(C,A)|distinct_points(C,intersection_point(A,B)).
% 85.38/85.59 ** KEPT (pick-wt=11): 10 [] -convergent_lines(A,B)| -apart_point_and_line(C,B)|distinct_points(C,intersection_point(A,B)).
% 85.38/85.59 ** 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).
% 85.38/85.59 ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 85.38/85.59 ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 85.38/85.59 ** KEPT (pick-wt=6): 14 [] -convergent_lines(A,B)|distinct_lines(A,B).
% 85.38/85.59
% 85.38/85.59 ------------> process sos:
% 85.38/85.59 ** KEPT (pick-wt=3): 15 [] distinct_points($c3,$c2).
% 85.38/85.59 ** KEPT (pick-wt=3): 16 [] distinct_points($c3,$c1).
% 85.38/85.59 ** KEPT (pick-wt=7): 17 [] convergent_lines(line_connecting($c3,$c2),line_connecting($c3,$c1)).
% 85.38/85.59 ** KEPT (pick-wt=9): 18 [] distinct_points(intersection_point(line_connecting($c3,$c2),line_connecting($c3,$c1)),$c3).
% 85.38/85.59
% 85.38/85.59 ======= end of input processing =======
% 85.38/85.59
% 85.38/85.59 =========== start of search ===========
% 85.38/85.59
% 85.38/85.59
% 85.38/85.59 Resetting weight limit to 24.
% 85.38/85.59
% 85.38/85.59
% 85.38/85.59 Resetting weight limit to 24.
% 85.38/85.59
% 85.38/85.59 sos_size=3436
% 85.38/85.59
% 85.38/85.59
% 85.38/85.59 Resetting weight limit to 23.
% 85.38/85.59
% 85.38/85.59
% 85.38/85.59 Resetting weight limit to 23.
% 85.38/85.59
% 85.38/85.59 sos_size=3274
% 85.38/85.59
% 85.38/85.59
% 85.38/85.59 Resetting weight limit to 22.
% 85.38/85.59
% 85.38/85.59
% 85.38/85.59 Resetting weight limit to 22.
% 85.38/85.59
% 85.38/85.59 sos_size=3161
% 85.38/85.59
% 85.38/85.59
% 85.38/85.59 Resetting weight limit to 16.
% 85.38/85.59
% 85.38/85.59
% 85.38/85.59 Resetting weight limit to 16.
% 85.38/85.59
% 85.38/85.59 sos_size=2427
% 85.38/85.59
% 85.38/85.59 -- HEY sandbox, WE HAVE A PROOF!! --
% 85.38/85.59
% 85.38/85.59 ----> UNIT CONFLICT at 83.72 sec ----> 5309 [binary,5308.1,1.1] $F.
% 85.38/85.59
% 85.38/85.59 Length of proof is 35. Level of proof is 14.
% 85.38/85.59
% 85.38/85.59 ---------------- PROOF ----------------
% 85.38/85.59 % SZS status Theorem
% 85.38/85.59 % SZS output start Refutation
% See solution above
% 85.38/85.59 ------------ end of proof -------------
% 85.38/85.59
% 85.38/85.59
% 85.38/85.59 Search stopped by max_proofs option.
% 85.38/85.59
% 85.38/85.59
% 85.38/85.59 Search stopped by max_proofs option.
% 85.38/85.59
% 85.38/85.59 ============ end of search ============
% 85.38/85.59
% 85.38/85.59 -------------- statistics -------------
% 85.38/85.59 clauses given 833
% 85.38/85.59 clauses generated 791754
% 85.38/85.59 clauses kept 5308
% 85.38/85.59 clauses forward subsumed 70775
% 85.38/85.59 clauses back subsumed 2932
% 85.38/85.59 Kbytes malloced 4882
% 85.38/85.59
% 85.38/85.59 ----------- times (seconds) -----------
% 85.38/85.59 user CPU time 83.72 (0 hr, 1 min, 23 sec)
% 85.38/85.59 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 85.38/85.59 wall-clock time 85 (0 hr, 1 min, 25 sec)
% 85.38/85.59
% 85.38/85.59 That finishes the proof of the theorem.
% 85.38/85.59
% 85.38/85.59 Process 31478 finished Wed Jul 27 06:26:43 2022
% 85.38/85.59 Otter interrupted
% 85.38/85.59 PROOF FOUND
%------------------------------------------------------------------------------