TSTP Solution File: GEO222+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO222+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 66.73s 66.93s
% Output : Refutation 66.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 30 ( 8 unt; 20 nHn; 8 RR)
% Number of literals : 75 ( 0 equ; 12 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 60 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ convergent_lines(A,A),
file('GEO222+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
file('GEO222+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(intersection_point(A,B),A) ),
file('GEO222+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(intersection_point(A,B),B) ),
file('GEO222+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(A,B)
| distinct_lines(B,C)
| convergent_lines(A,C) ),
file('GEO222+1.p',unknown),
[] ).
cnf(15,axiom,
~ convergent_lines(parallel_through_point(A,B),A),
file('GEO222+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ convergent_lines(A,B)
| ~ unorthogonal_lines(A,B)
| convergent_lines(A,C)
| unorthogonal_lines(B,C) ),
file('GEO222+1.p',unknown),
[] ).
cnf(21,axiom,
~ unorthogonal_lines(orthogonal_through_point(A,B),A),
file('GEO222+1.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+1.p',unknown),
[] ).
cnf(24,axiom,
( convergent_lines(A,B)
| unorthogonal_lines(A,B) ),
file('GEO222+1.p',unknown),
[] ).
cnf(25,axiom,
convergent_lines(dollar_c1,orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2)),
file('GEO222+1.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(29,plain,
( distinct_lines(orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2),A)
| convergent_lines(dollar_c1,A) ),
inference(hyper,[status(thm)],[25,14]),
[iquote('hyper,25,14')] ).
cnf(30,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(35,plain,
convergent_lines(A,orthogonal_through_point(A,B)),
inference(hyper,[status(thm)],[28,3]),
[iquote('hyper,28,3')] ).
cnf(39,plain,
( convergent_lines(dollar_c1,A)
| apart_point_and_line(B,orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2))
| apart_point_and_line(B,A)
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2),C)
| unorthogonal_lines(A,C) ),
inference(hyper,[status(thm)],[29,23]),
[iquote('hyper,29,23')] ).
cnf(47,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)],[30,6]),
[iquote('hyper,30,6')] ).
cnf(50,plain,
( convergent_lines(dollar_c1,A)
| convergent_lines(orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2),B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[30,6]),
[iquote('hyper,30,6')] ).
cnf(476,plain,
( convergent_lines(dollar_c1,A)
| apart_point_and_line(B,orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2))
| apart_point_and_line(B,A)
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2),orthogonal_through_point(A,C))
| convergent_lines(A,D)
| unorthogonal_lines(orthogonal_through_point(A,C),D) ),
inference(hyper,[status(thm)],[39,18,35]),
[iquote('hyper,39,18,35')] ).
cnf(522,plain,
( apart_point_and_line(A,orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2))
| apart_point_and_line(A,dollar_c1)
| 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)],[476]),3,21]),
[iquote('factor,476.1.5,unit_del,3,21')] ).
cnf(1347,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)],[47,6]),
[iquote('hyper,47,6')] ).
cnf(1375,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)],[1347]),3]),
[iquote('factor,1347.1.3,unit_del,3')] ).
cnf(1520,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)],[1375,6]),
[iquote('hyper,1375,6')] ).
cnf(1599,plain,
( convergent_lines(dollar_c1,A)
| convergent_lines(A,B)
| convergent_lines(orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2),C)
| convergent_lines(B,C) ),
inference(hyper,[status(thm)],[50,6]),
[iquote('hyper,50,6')] ).
cnf(4467,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)],[1520,15]),
[iquote('hyper,1520,15')] ).
cnf(4972,plain,
( convergent_lines(dollar_c1,A)
| convergent_lines(A,B)
| convergent_lines(B,orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2)) ),
inference(hyper,[status(thm)],[1599,3]),
[iquote('hyper,1599,3')] ).
cnf(5016,plain,
( apart_point_and_line(A,orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2))
| apart_point_and_line(A,dollar_c1) ),
inference(hyper,[status(thm)],[522,21]),
[iquote('hyper,522,21')] ).
cnf(5030,plain,
apart_point_and_line(intersection_point(dollar_c1,orthogonal_through_point(orthogonal_through_point(dollar_c1,dollar_c2),dollar_c2)),dollar_c1),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5016,10,4467]),15]),
[iquote('hyper,5016,10,4467,unit_del,15')] ).
cnf(5107,plain,
$false,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5030,9,4972]),3,3]),
[iquote('hyper,5030,9,4972,unit_del,3,3')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO222+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n003.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 06:56:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.67/1.90 ----- Otter 3.3f, August 2004 -----
% 1.67/1.90 The process was started by sandbox2 on n003.cluster.edu,
% 1.67/1.90 Wed Jul 27 06:56:41 2022
% 1.67/1.90 The command was "./otter". The process ID is 5725.
% 1.67/1.90
% 1.67/1.90 set(prolog_style_variables).
% 1.67/1.90 set(auto).
% 1.67/1.90 dependent: set(auto1).
% 1.67/1.90 dependent: set(process_input).
% 1.67/1.90 dependent: clear(print_kept).
% 1.67/1.90 dependent: clear(print_new_demod).
% 1.67/1.90 dependent: clear(print_back_demod).
% 1.67/1.90 dependent: clear(print_back_sub).
% 1.67/1.90 dependent: set(control_memory).
% 1.67/1.90 dependent: assign(max_mem, 12000).
% 1.67/1.90 dependent: assign(pick_given_ratio, 4).
% 1.67/1.90 dependent: assign(stats_level, 1).
% 1.67/1.90 dependent: assign(max_seconds, 10800).
% 1.67/1.90 clear(print_given).
% 1.67/1.90
% 1.67/1.90 formula_list(usable).
% 1.67/1.90 all X (-distinct_points(X,X)).
% 1.67/1.90 all X (-distinct_lines(X,X)).
% 1.67/1.90 all X (-convergent_lines(X,X)).
% 1.67/1.90 all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 1.67/1.90 all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 1.67/1.90 all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 1.67/1.90 all X Y (distinct_points(X,Y)-> -apart_point_and_line(X,line_connecting(X,Y))).
% 1.67/1.90 all X Y (distinct_points(X,Y)-> -apart_point_and_line(Y,line_connecting(X,Y))).
% 1.67/1.90 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),X)).
% 1.67/1.90 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),Y)).
% 1.67/1.90 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)).
% 1.67/1.90 all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 1.67/1.90 all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 1.67/1.90 all X Y Z (convergent_lines(X,Y)->distinct_lines(Y,Z)|convergent_lines(X,Z)).
% 1.67/1.90 all X Y (-convergent_lines(parallel_through_point(Y,X),Y)).
% 1.67/1.90 all X Y (-apart_point_and_line(X,parallel_through_point(Y,X))).
% 1.67/1.90 all X Y Z (distinct_lines(Y,Z)->apart_point_and_line(X,Y)|apart_point_and_line(X,Z)|convergent_lines(Y,Z)).
% 1.67/1.90 all L M (convergent_lines(L,M)|unorthogonal_lines(L,M)).
% 1.67/1.90 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)).
% 1.67/1.90 all A L (-unorthogonal_lines(orthogonal_through_point(L,A),L)).
% 1.67/1.90 all A L (-apart_point_and_line(A,orthogonal_through_point(L,A))).
% 1.67/1.90 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)).
% 1.67/1.90 -(all A L (-convergent_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)))).
% 1.67/1.90 end_of_list.
% 1.67/1.90
% 1.67/1.90 -------> usable clausifies to:
% 1.67/1.90
% 1.67/1.90 list(usable).
% 1.67/1.90 0 [] -distinct_points(X,X).
% 1.67/1.90 0 [] -distinct_lines(X,X).
% 1.67/1.90 0 [] -convergent_lines(X,X).
% 1.67/1.90 0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 1.67/1.90 0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 1.67/1.90 0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 1.67/1.90 0 [] -distinct_points(X,Y)| -apart_point_and_line(X,line_connecting(X,Y)).
% 1.67/1.90 0 [] -distinct_points(X,Y)| -apart_point_and_line(Y,line_connecting(X,Y)).
% 1.67/1.90 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),X).
% 1.67/1.90 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),Y).
% 1.67/1.90 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).
% 1.67/1.90 0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 1.67/1.90 0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 1.67/1.90 0 [] -convergent_lines(X,Y)|distinct_lines(Y,Z)|convergent_lines(X,Z).
% 1.67/1.90 0 [] -convergent_lines(parallel_through_point(Y,X),Y).
% 1.67/1.90 0 [] -apart_point_and_line(X,parallel_through_point(Y,X)).
% 1.67/1.90 0 [] -distinct_lines(Y,Z)|apart_point_and_line(X,Y)|apart_point_and_line(X,Z)|convergent_lines(Y,Z).
% 1.67/1.90 0 [] convergent_lines(L,M)|unorthogonal_lines(L,M).
% 1.67/1.90 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|convergent_lines(L,N)|convergent_lines(M,N).
% 1.67/1.90 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|convergent_lines(L,N)|unorthogonal_lines(M,N).
% 1.67/1.90 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|unorthogonal_lines(L,N)|convergent_lines(M,N).
% 66.73/66.93 0 [] -convergent_lines(L,M)| -unorthogonal_lines(L,M)|unorthogonal_lines(L,N)|unorthogonal_lines(M,N).
% 66.73/66.93 0 [] -unorthogonal_lines(orthogonal_through_point(L,A),L).
% 66.73/66.93 0 [] -apart_point_and_line(A,orthogonal_through_point(L,A)).
% 66.73/66.93 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).
% 66.73/66.93 0 [] convergent_lines($c1,orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2)).
% 66.73/66.93 end_of_list.
% 66.73/66.93
% 66.73/66.93 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 66.73/66.93
% 66.73/66.93 This is a non-Horn set without equality. The strategy will
% 66.73/66.93 be ordered hyper_res, unit deletion, and factoring, with
% 66.73/66.93 satellites in sos and with nuclei in usable.
% 66.73/66.93
% 66.73/66.93 dependent: set(hyper_res).
% 66.73/66.93 dependent: set(factor).
% 66.73/66.93 dependent: set(unit_deletion).
% 66.73/66.93
% 66.73/66.93 ------------> process usable:
% 66.73/66.93 ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 66.73/66.93 ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 66.73/66.93 ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 66.73/66.93 ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 66.73/66.93 ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 66.73/66.93 ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 66.73/66.93 ** KEPT (pick-wt=8): 7 [] -distinct_points(A,B)| -apart_point_and_line(A,line_connecting(A,B)).
% 66.73/66.93 ** KEPT (pick-wt=8): 8 [] -distinct_points(A,B)| -apart_point_and_line(B,line_connecting(A,B)).
% 66.73/66.93 ** KEPT (pick-wt=8): 9 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),A).
% 66.73/66.93 ** KEPT (pick-wt=8): 10 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),B).
% 66.73/66.93 ** 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).
% 66.73/66.93 ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 66.73/66.93 ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 66.73/66.93 ** KEPT (pick-wt=9): 14 [] -convergent_lines(A,B)|distinct_lines(B,C)|convergent_lines(A,C).
% 66.73/66.93 ** KEPT (pick-wt=5): 15 [] -convergent_lines(parallel_through_point(A,B),A).
% 66.73/66.93 ** KEPT (pick-wt=5): 16 [] -apart_point_and_line(A,parallel_through_point(B,A)).
% 66.73/66.93 ** 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).
% 66.73/66.93 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).
% 66.73/66.93 ** KEPT (pick-wt=12): 18 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|convergent_lines(A,C)|unorthogonal_lines(B,C).
% 66.73/66.93 ** KEPT (pick-wt=12): 19 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|unorthogonal_lines(A,C)|convergent_lines(B,C).
% 66.73/66.93 ** KEPT (pick-wt=12): 20 [] -convergent_lines(A,B)| -unorthogonal_lines(A,B)|unorthogonal_lines(A,C)|unorthogonal_lines(B,C).
% 66.73/66.93 ** KEPT (pick-wt=5): 21 [] -unorthogonal_lines(orthogonal_through_point(A,B),A).
% 66.73/66.93 ** KEPT (pick-wt=5): 22 [] -apart_point_and_line(A,orthogonal_through_point(B,A)).
% 66.73/66.93 ** 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).
% 66.73/66.93
% 66.73/66.93 ------------> process sos:
% 66.73/66.93 ** KEPT (pick-wt=6): 24 [] convergent_lines(A,B)|unorthogonal_lines(A,B).
% 66.73/66.93 ** KEPT (pick-wt=7): 25 [] convergent_lines($c1,orthogonal_through_point(orthogonal_through_point($c1,$c2),$c2)).
% 66.73/66.93
% 66.73/66.93 ======= end of input processing =======
% 66.73/66.93
% 66.73/66.93 =========== start of search ===========
% 66.73/66.93
% 66.73/66.93
% 66.73/66.93 Resetting weight limit to 21.
% 66.73/66.93
% 66.73/66.93
% 66.73/66.93 Resetting weight limit to 21.
% 66.73/66.93
% 66.73/66.93 sos_size=3691
% 66.73/66.93
% 66.73/66.93
% 66.73/66.93 Resetting weight limit to 20.
% 66.73/66.93
% 66.73/66.93
% 66.73/66.93 Resetting weight limit to 20.
% 66.73/66.93
% 66.73/66.93 sos_size=3711
% 66.73/66.93
% 66.73/66.93
% 66.73/66.93 Resetting weight limit to 19.
% 66.73/66.93
% 66.73/66.93
% 66.73/66.93 Resetting weight limit to 19.
% 66.73/66.93
% 66.73/66.93 sos_size=3713
% 66.73/66.93
% 66.73/66.93
% 66.73/66.93 Resetting weight limit to 16.
% 66.73/66.93
% 66.73/66.93
% 66.73/66.93 Resetting weight limit to 16.
% 66.73/66.93
% 66.73/66.93 sos_size=3736
% 66.73/66.93
% 66.73/66.93
% 66.73/66.93 Resetting weight limit to 15.
% 66.73/66.93
% 66.73/66.93
% 66.73/66.93 Resetting weight limit to 15.
% 66.73/66.93
% 66.73/66.93 sos_size=3777
% 66.73/66.93
% 66.73/66.93 -- HEY sandbox2, WE HAVE A PROOF!! --
% 66.73/66.93
% 66.73/66.93 -----> EMPTY CLAUSE at 65.03 sec ----> 5107 [hyper,5030,9,4972,unit_del,3,3] $F.
% 66.73/66.93
% 66.73/66.93 Length of proof is 18. Level of proof is 7.
% 66.73/66.93
% 66.73/66.93 ---------------- PROOF ----------------
% 66.73/66.93 % SZS status Theorem
% 66.73/66.93 % SZS output start Refutation
% See solution above
% 66.73/66.93 ------------ end of proof -------------
% 66.73/66.93
% 66.73/66.93
% 66.73/66.93 Search stopped by max_proofs option.
% 66.73/66.93
% 66.73/66.93
% 66.73/66.93 Search stopped by max_proofs option.
% 66.73/66.93
% 66.73/66.93 ============ end of search ============
% 66.73/66.93
% 66.73/66.93 -------------- statistics -------------
% 66.73/66.93 clauses given 1305
% 66.73/66.93 clauses generated 1595055
% 66.73/66.93 clauses kept 5106
% 66.73/66.93 clauses forward subsumed 17132
% 66.73/66.93 clauses back subsumed 535
% 66.73/66.93 Kbytes malloced 5859
% 66.73/66.93
% 66.73/66.93 ----------- times (seconds) -----------
% 66.73/66.93 user CPU time 65.03 (0 hr, 1 min, 5 sec)
% 66.73/66.93 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 66.73/66.93 wall-clock time 67 (0 hr, 1 min, 7 sec)
% 66.73/66.93
% 66.73/66.93 That finishes the proof of the theorem.
% 66.73/66.93
% 66.73/66.93 Process 5725 finished Wed Jul 27 06:57:48 2022
% 66.73/66.93 Otter interrupted
% 66.73/66.93 PROOF FOUND
%------------------------------------------------------------------------------