TSTP Solution File: GEO222+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO222+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n026.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 12:54:54 EDT 2022
% Result : Theorem 21.52s 21.69s
% Output : Refutation 21.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of clauses : 33 ( 9 unt; 21 nHn; 11 RR)
% Number of literals : 78 ( 0 equ; 13 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 63 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ distinct_points(A,A),
file('GEO222+2.p',unknown),
[] ).
cnf(3,axiom,
~ convergent_lines(A,A),
file('GEO222+2.p',unknown),
[] ).
cnf(6,axiom,
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
file('GEO222+2.p',unknown),
[] ).
cnf(9,axiom,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(C,A)
| distinct_points(C,intersection_point(A,B)) ),
file('GEO222+2.p',unknown),
[] ).
cnf(10,axiom,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(C,B)
| distinct_points(C,intersection_point(A,B)) ),
file('GEO222+2.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(A,B)
| distinct_lines(A,B) ),
file('GEO222+2.p',unknown),
[] ).
cnf(15,axiom,
~ convergent_lines(parallel_through_point(A,B),A),
file('GEO222+2.p',unknown),
[] ).
cnf(18,axiom,
( ~ convergent_lines(A,B)
| ~ unorthogonal_lines(A,B)
| convergent_lines(A,C)
| unorthogonal_lines(B,C) ),
file('GEO222+2.p',unknown),
[] ).
cnf(21,axiom,
~ unorthogonal_lines(orthogonal_through_point(A,B),A),
file('GEO222+2.p',unknown),
[] ).
cnf(23,axiom,
( ~ distinct_lines(A,B)
| apart_point_and_line(C,A)
| apart_point_and_line(C,B)
| unorthogonal_lines(A,D)
| unorthogonal_lines(B,D) ),
file('GEO222+2.p',unknown),
[] ).
cnf(24,axiom,
( convergent_lines(A,B)
| unorthogonal_lines(A,B) ),
file('GEO222+2.p',unknown),
[] ).
cnf(25,axiom,
convergent_lines(dollar_c1,orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2)),
file('GEO222+2.p',unknown),
[] ).
cnf(26,plain,
convergent_lines(orthogonal_through_point(A,B),A),
inference(hyper,[status(thm)],[24,21]),
[iquote('hyper,24,21')] ).
cnf(28,plain,
( convergent_lines(orthogonal_through_point(A,B),C)
| convergent_lines(A,C) ),
inference(hyper,[status(thm)],[26,6]),
[iquote('hyper,26,6')] ).
cnf(31,plain,
distinct_lines(dollar_c1,orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2)),
inference(hyper,[status(thm)],[25,14]),
[iquote('hyper,25,14')] ).
cnf(32,plain,
( convergent_lines(dollar_c1,A)
| convergent_lines(orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2),A) ),
inference(hyper,[status(thm)],[25,6]),
[iquote('hyper,25,6')] ).
cnf(33,plain,
( apart_point_and_line(A,dollar_c1)
| apart_point_and_line(A,orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2))
| unorthogonal_lines(dollar_c1,B)
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2),B) ),
inference(hyper,[status(thm)],[31,23]),
[iquote('hyper,31,23')] ).
cnf(36,plain,
( convergent_lines(A,B)
| convergent_lines(orthogonal_through_point(A,C),D)
| convergent_lines(B,D) ),
inference(hyper,[status(thm)],[28,6]),
[iquote('hyper,28,6')] ).
cnf(84,plain,
( convergent_lines(orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2),A)
| convergent_lines(dollar_c1,B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[32,6]),
[iquote('hyper,32,6')] ).
cnf(174,plain,
( convergent_lines(A,B)
| convergent_lines(B,orthogonal_through_point(A,C)) ),
inference(hyper,[status(thm)],[36,3]),
[iquote('hyper,36,3')] ).
cnf(235,plain,
( convergent_lines(A,dollar_c1)
| convergent_lines(dollar_c1,B)
| unorthogonal_lines(orthogonal_through_point(A,C),B)
| apart_point_and_line(D,dollar_c1)
| apart_point_and_line(D,orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2))
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2),orthogonal_through_point(A,C)) ),
inference(hyper,[status(thm)],[174,18,33]),
[iquote('hyper,174,18,33')] ).
cnf(245,plain,
( apart_point_and_line(A,dollar_c1)
| apart_point_and_line(A,orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2))
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2),orthogonal_through_point(dollar_c1,B)) ),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[235]),3,21]),
[iquote('factor,235.1.2,unit_del,3,21')] ).
cnf(3991,plain,
( convergent_lines(orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2),A)
| convergent_lines(A,dollar_c1) ),
inference(hyper,[status(thm)],[84,3]),
[iquote('hyper,84,3')] ).
cnf(3994,plain,
( convergent_lines(orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2),A)
| convergent_lines(dollar_c1,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
inference(hyper,[status(thm)],[84,6]),
[iquote('hyper,84,6')] ).
cnf(3995,plain,
( convergent_lines(dollar_c1,A)
| convergent_lines(A,orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2)) ),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[3994]),3]),
[iquote('factor,3994.1.3,unit_del,3')] ).
cnf(3997,plain,
( convergent_lines(A,dollar_c1)
| convergent_lines(orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2),B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[3991,6]),
[iquote('hyper,3991,6')] ).
cnf(4006,plain,
( convergent_lines(A,orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2))
| convergent_lines(dollar_c1,B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[3995,6]),
[iquote('hyper,3995,6')] ).
cnf(4347,plain,
( convergent_lines(A,dollar_c1)
| convergent_lines(A,orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2)) ),
inference(hyper,[status(thm)],[3997,3]),
[iquote('hyper,3997,3')] ).
cnf(4358,plain,
( convergent_lines(parallel_through_point(A,B),orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2))
| convergent_lines(dollar_c1,A) ),
inference(hyper,[status(thm)],[4006,15]),
[iquote('hyper,4006,15')] ).
cnf(4640,plain,
( apart_point_and_line(A,dollar_c1)
| apart_point_and_line(A,orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2)) ),
inference(hyper,[status(thm)],[245,21]),
[iquote('hyper,245,21')] ).
cnf(4648,plain,
( apart_point_and_line(A,dollar_c1)
| distinct_points(A,intersection_point(dollar_c1,orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2))) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4640,10,4358]),15]),
[iquote('hyper,4640,10,4358,unit_del,15')] ).
cnf(5073,plain,
apart_point_and_line(intersection_point(dollar_c1,orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2)),dollar_c1),
inference(hyper,[status(thm)],[4648,1]),
[iquote('hyper,4648,1')] ).
cnf(5077,plain,
$false,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5073,9,4347]),1,3]),
[iquote('hyper,5073,9,4347,unit_del,1,3')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO222+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n026.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 07:27:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.94/2.14 ----- Otter 3.3f, August 2004 -----
% 1.94/2.14 The process was started by sandbox2 on n026.cluster.edu,
% 1.94/2.14 Wed Jul 27 07:27:09 2022
% 1.94/2.14 The command was "./otter". The process ID is 20740.
% 1.94/2.14
% 1.94/2.14 set(prolog_style_variables).
% 1.94/2.14 set(auto).
% 1.94/2.14 dependent: set(auto1).
% 1.94/2.14 dependent: set(process_input).
% 1.94/2.14 dependent: clear(print_kept).
% 1.94/2.14 dependent: clear(print_new_demod).
% 1.94/2.14 dependent: clear(print_back_demod).
% 1.94/2.14 dependent: clear(print_back_sub).
% 1.94/2.14 dependent: set(control_memory).
% 1.94/2.14 dependent: assign(max_mem, 12000).
% 1.94/2.14 dependent: assign(pick_given_ratio, 4).
% 1.94/2.14 dependent: assign(stats_level, 1).
% 1.94/2.14 dependent: assign(max_seconds, 10800).
% 1.94/2.14 clear(print_given).
% 1.94/2.14
% 1.94/2.14 formula_list(usable).
% 1.94/2.14 all X (-distinct_points(X,X)).
% 1.94/2.14 all X (-distinct_lines(X,X)).
% 1.94/2.14 all X (-convergent_lines(X,X)).
% 1.94/2.14 all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 1.94/2.14 all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 1.94/2.14 all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 1.94/2.14 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))).
% 1.94/2.14 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)))).
% 1.94/2.14 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)).
% 1.94/2.14 all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 1.94/2.14 all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 1.94/2.14 all X Y (convergent_lines(X,Y)->distinct_lines(X,Y)).
% 1.94/2.14 all X Y (-convergent_lines(parallel_through_point(Y,X),Y)).
% 1.94/2.14 all X Y (-apart_point_and_line(X,parallel_through_point(Y,X))).
% 1.94/2.14 all X Y Z (distinct_lines(Y,Z)->apart_point_and_line(X,Y)|apart_point_and_line(X,Z)|convergent_lines(Y,Z)).
% 1.94/2.14 all L M (convergent_lines(L,M)|unorthogonal_lines(L,M)).
% 1.94/2.14 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)).
% 1.94/2.14 all A L (-unorthogonal_lines(orthogonal_through_point(L,A),L)).
% 1.94/2.14 all A L (-apart_point_and_line(A,orthogonal_through_point(L,A))).
% 1.94/2.14 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)).
% 1.94/2.14 -(all A L (-convergent_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)))).
% 1.94/2.14 end_of_list.
% 1.94/2.14
% 1.94/2.14 -------> usable clausifies to:
% 1.94/2.14
% 1.94/2.14 list(usable).
% 1.94/2.14 0 [] -distinct_points(X,X).
% 1.94/2.14 0 [] -distinct_lines(X,X).
% 1.94/2.14 0 [] -convergent_lines(X,X).
% 1.94/2.14 0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 1.94/2.14 0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 1.94/2.14 0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 1.94/2.14 0 [] -distinct_points(X,Y)| -apart_point_and_line(Z,line_connecting(X,Y))|distinct_points(Z,X).
% 1.94/2.14 0 [] -distinct_points(X,Y)| -apart_point_and_line(Z,line_connecting(X,Y))|distinct_points(Z,Y).
% 1.94/2.14 0 [] -convergent_lines(X,Y)| -apart_point_and_line(Z,X)|distinct_points(Z,intersection_point(X,Y)).
% 1.94/2.14 0 [] -convergent_lines(X,Y)| -apart_point_and_line(Z,Y)|distinct_points(Z,intersection_point(X,Y)).
% 1.94/2.14 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).
% 1.94/2.14 0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 1.94/2.14 0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 1.94/2.14 0 [] -convergent_lines(X,Y)|distinct_lines(X,Y).
% 1.94/2.14 0 [] -convergent_lines(parallel_through_point(Y,X),Y).
% 1.94/2.14 0 [] -apart_point_and_line(X,parallel_through_point(Y,X)).
% 1.94/2.14 0 [] -distinct_lines(Y,Z)|apart_point_and_line(X,Y)|apart_point_and_line(X,Z)|convergent_lines(Y,Z).
% 1.94/2.14 0 [] convergent_lines(L,M)|unorthogonal_lines(L,M).
% 1.94/2.14 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|convergent_lines(L,N)|convergent_lines(M,N).
% 1.94/2.14 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|convergent_lines(L,N)|unorthogonal_lines(M,N).
% 1.94/2.14 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|unorthogonal_lines(L,N)|convergent_lines(M,N).
% 13.53/13.70 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|unorthogonal_lines(L,N)|unorthogonal_lines(M,N).
% 13.53/13.70 0 [] -unorthogonal_lines(orthogonal_through_point(L,A),L).
% 13.53/13.70 0 [] -apart_point_and_line(A,orthogonal_through_point(L,A)).
% 13.53/13.70 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).
% 13.53/13.70 0 [] convergent_lines($c1,orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2)).
% 13.53/13.70 end_of_list.
% 13.53/13.70
% 13.53/13.70 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 13.53/13.70
% 13.53/13.70 This is a non-Horn set without equality. The strategy will
% 13.53/13.70 be ordered hyper_res, unit deletion, and factoring, with
% 13.53/13.70 satellites in sos and with nuclei in usable.
% 13.53/13.70
% 13.53/13.70 dependent: set(hyper_res).
% 13.53/13.70 dependent: set(factor).
% 13.53/13.70 dependent: set(unit_deletion).
% 13.53/13.70
% 13.53/13.70 ------------> process usable:
% 13.53/13.70 ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 13.53/13.70 ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 13.53/13.70 ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 13.53/13.70 ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 13.53/13.70 ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 13.53/13.70 ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 13.53/13.70 ** KEPT (pick-wt=11): 7 [] -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,A).
% 13.53/13.70 ** KEPT (pick-wt=11): 8 [] -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,B).
% 13.53/13.70 ** KEPT (pick-wt=11): 9 [] -convergent_lines(A,B)| -apart_point_and_line(C,A)|distinct_points(C,intersection_point(A,B)).
% 13.53/13.70 ** KEPT (pick-wt=11): 10 [] -convergent_lines(A,B)| -apart_point_and_line(C,B)|distinct_points(C,intersection_point(A,B)).
% 13.53/13.70 ** 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).
% 13.53/13.70 ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 13.53/13.70 ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 13.53/13.70 ** KEPT (pick-wt=6): 14 [] -convergent_lines(A,B)|distinct_lines(A,B).
% 13.53/13.70 ** KEPT (pick-wt=5): 15 [] -convergent_lines(parallel_through_point(A,B),A).
% 13.53/13.70 ** KEPT (pick-wt=5): 16 [] -apart_point_and_line(A,parallel_through_point(B,A)).
% 13.53/13.70 ** KEPT (pick-wt=12): 17 [] -distinct_lines(A,B)|apart_point_and_line(C,A)|apart_point_and_line(C,B)|convergent_lines(A,B).
% 13.53/13.70 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).
% 13.53/13.70 ** KEPT (pick-wt=12): 18 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|convergent_lines(A,C)|unorthogonal_lines(B,C).
% 13.53/13.70 ** KEPT (pick-wt=12): 19 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|unorthogonal_lines(A,C)|convergent_lines(B,C).
% 13.53/13.70 ** KEPT (pick-wt=12): 20 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|unorthogonal_lines(A,C)|unorthogonal_lines(B,C).
% 13.53/13.70 ** KEPT (pick-wt=5): 21 [] -unorthogonal_lines(orthogonal_through_point(A,B),A).
% 13.53/13.70 ** KEPT (pick-wt=5): 22 [] -apart_point_and_line(A,orthogonal_through_point(B,A)).
% 13.53/13.70 ** 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).
% 13.53/13.70
% 13.53/13.70 ------------> process sos:
% 13.53/13.70 ** KEPT (pick-wt=6): 24 [] convergent_lines(A,B)|unorthogonal_lines(A,B).
% 13.53/13.70 ** KEPT (pick-wt=7): 25 [] convergent_lines($c1,orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2)).
% 13.53/13.70
% 13.53/13.70 ======= end of input processing =======
% 13.53/13.70
% 13.53/13.70 =========== start of search ===========
% 13.53/13.70
% 13.53/13.70
% 13.53/13.70 Resetting weight limit to 23.
% 13.53/13.70
% 13.53/13.70
% 13.53/13.70 Resetting weight limit to 23.
% 13.53/13.70
% 13.53/13.70 sos_size=3130
% 13.53/13.70
% 13.53/13.70
% 13.53/13.70 Resetting weight limit to 22.
% 13.53/13.70
% 13.53/13.70
% 13.53/13.70 Resetting weight limit to 22.
% 13.53/13.70
% 13.53/13.70 sos_size=3155
% 13.53/13.70
% 13.53/13.70
% 13.53/13.70 Resetting weight limit to 20.
% 13.53/13.70
% 13.53/13.70
% 13.53/13.70 Resetting weight limit to 20.
% 13.53/13.70
% 13.53/13.70 sos_size=3170
% 13.53/13.70
% 13.53/13.70
% 13.53/13.70 Resetting weight limit to 19.
% 13.53/13.70
% 13.53/13.70
% 13.53/13.70 Resetting weight limit to 19.
% 13.53/13.70
% 13.53/13.70 sos_size=3182
% 13.53/13.70
% 13.53/13.70
% 13.53/13.70 Resetting weight limit to 17.
% 13.53/13.70
% 13.53/13.70
% 13.53/13.70 Resetting weight limit to 17.
% 13.53/13.70
% 13.53/13.70 sos_size=3206
% 13.53/13.70
% 13.53/13.70
% 13.53/13.70 Resetting weight limit to 16.
% 13.53/13.70
% 13.53/13.70
% 13.53/13.70 Resetting weight limit to 16.
% 13.53/13.70
% 13.53/13.70 sos_size=3221
% 13.53/13.70
% 13.53/13.70
% 13.53/13.70 Resetting weight limit to 15.
% 21.52/21.69
% 21.52/21.69
% 21.52/21.69 Resetting weight limit to 15.
% 21.52/21.69
% 21.52/21.69 sos_size=3230
% 21.52/21.69
% 21.52/21.69
% 21.52/21.69 Resetting weight limit to 14.
% 21.52/21.69
% 21.52/21.69
% 21.52/21.69 Resetting weight limit to 14.
% 21.52/21.69
% 21.52/21.69 sos_size=3373
% 21.52/21.69
% 21.52/21.69 -- HEY sandbox2, WE HAVE A PROOF!! --
% 21.52/21.69
% 21.52/21.69 -----> EMPTY CLAUSE at 19.55 sec ----> 5077 [hyper,5073,9,4347,unit_del,1,3] $F.
% 21.52/21.69
% 21.52/21.69 Length of proof is 20. Level of proof is 9.
% 21.52/21.69
% 21.52/21.69 ---------------- PROOF ----------------
% 21.52/21.69 % SZS status Theorem
% 21.52/21.69 % SZS output start Refutation
% See solution above
% 21.52/21.69 ------------ end of proof -------------
% 21.52/21.69
% 21.52/21.69
% 21.52/21.69 Search stopped by max_proofs option.
% 21.52/21.69
% 21.52/21.69
% 21.52/21.69 Search stopped by max_proofs option.
% 21.52/21.69
% 21.52/21.69 ============ end of search ============
% 21.52/21.69
% 21.52/21.69 -------------- statistics -------------
% 21.52/21.69 clauses given 878
% 21.52/21.69 clauses generated 379740
% 21.52/21.69 clauses kept 5076
% 21.52/21.69 clauses forward subsumed 11967
% 21.52/21.69 clauses back subsumed 867
% 21.52/21.69 Kbytes malloced 5859
% 21.52/21.69
% 21.52/21.69 ----------- times (seconds) -----------
% 21.52/21.69 user CPU time 19.55 (0 hr, 0 min, 19 sec)
% 21.52/21.69 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 21.52/21.69 wall-clock time 21 (0 hr, 0 min, 21 sec)
% 21.52/21.69
% 21.52/21.69 That finishes the proof of the theorem.
% 21.52/21.69
% 21.52/21.69 Process 20740 finished Wed Jul 27 07:27:30 2022
% 21.52/21.69 Otter interrupted
% 21.52/21.69 PROOF FOUND
%------------------------------------------------------------------------------