TSTP Solution File: GEO177+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO177+2 : TPTP v8.1.0. Released v3.3.0.
% 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 12:54:37 EDT 2022
% Result : Theorem 111.90s 112.18s
% Output : Refutation 111.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of clauses : 33 ( 10 unt; 21 nHn; 16 RR)
% Number of literals : 92 ( 0 equ; 11 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 51 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ distinct_points(A,A),
file('GEO177+2.p',unknown),
[] ).
cnf(4,axiom,
( ~ distinct_points(A,B)
| distinct_points(A,C)
| distinct_points(B,C) ),
file('GEO177+2.p',unknown),
[] ).
cnf(7,axiom,
( ~ distinct_points(A,B)
| ~ apart_point_and_line(C,line_connecting(A,B))
| distinct_points(C,A) ),
file('GEO177+2.p',unknown),
[] ).
cnf(8,axiom,
( ~ distinct_points(A,B)
| ~ apart_point_and_line(C,line_connecting(A,B))
| distinct_points(C,B) ),
file('GEO177+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('GEO177+2.p',unknown),
[] ).
cnf(13,axiom,
( ~ apart_point_and_line(A,B)
| distinct_lines(B,C)
| apart_point_and_line(A,C) ),
file('GEO177+2.p',unknown),
[] ).
cnf(15,axiom,
~ apart_point_and_line(dollar_c2,line_connecting(dollar_c4,dollar_c3)),
file('GEO177+2.p',unknown),
[] ).
cnf(16,axiom,
~ apart_point_and_line(dollar_c1,line_connecting(dollar_c4,dollar_c3)),
file('GEO177+2.p',unknown),
[] ).
cnf(17,axiom,
distinct_points(dollar_c4,dollar_c3),
file('GEO177+2.p',unknown),
[] ).
cnf(18,axiom,
distinct_points(dollar_c2,dollar_c1),
file('GEO177+2.p',unknown),
[] ).
cnf(19,axiom,
( apart_point_and_line(dollar_c4,line_connecting(dollar_c2,dollar_c1))
| apart_point_and_line(dollar_c3,line_connecting(dollar_c2,dollar_c1)) ),
file('GEO177+2.p',unknown),
[] ).
cnf(21,plain,
( distinct_points(dollar_c2,A)
| distinct_points(dollar_c1,A) ),
inference(hyper,[status(thm)],[18,4]),
[iquote('hyper,18,4')] ).
cnf(25,plain,
( distinct_points(dollar_c1,A)
| distinct_points(dollar_c2,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[21,4]),
[iquote('hyper,21,4')] ).
cnf(26,plain,
distinct_points(dollar_c1,dollar_c2),
inference(hyper,[status(thm)],[21,1]),
[iquote('hyper,21,1')] ).
cnf(28,plain,
( apart_point_and_line(dollar_c3,line_connecting(dollar_c2,dollar_c1))
| distinct_lines(line_connecting(dollar_c2,dollar_c1),A)
| apart_point_and_line(dollar_c4,A) ),
inference(hyper,[status(thm)],[19,13]),
[iquote('hyper,19,13')] ).
cnf(50,plain,
( distinct_points(dollar_c1,A)
| distinct_points(A,dollar_c2) ),
inference(hyper,[status(thm)],[25,1]),
[iquote('hyper,25,1')] ).
cnf(53,plain,
( distinct_points(A,dollar_c2)
| distinct_points(dollar_c1,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[50,4]),
[iquote('hyper,50,4')] ).
cnf(69,plain,
( apart_point_and_line(dollar_c3,line_connecting(dollar_c2,dollar_c1))
| apart_point_and_line(dollar_c4,A)
| apart_point_and_line(dollar_c1,line_connecting(dollar_c2,dollar_c1))
| apart_point_and_line(dollar_c1,A)
| apart_point_and_line(dollar_c2,line_connecting(dollar_c2,dollar_c1))
| apart_point_and_line(dollar_c2,A) ),
inference(hyper,[status(thm)],[28,11,26]),
[iquote('hyper,28,11,26')] ).
cnf(88,plain,
( distinct_points(A,dollar_c2)
| distinct_points(A,B)
| distinct_points(dollar_c1,C)
| distinct_points(B,C) ),
inference(hyper,[status(thm)],[53,4]),
[iquote('hyper,53,4')] ).
cnf(284,plain,
( distinct_points(A,dollar_c2)
| distinct_points(A,B)
| distinct_points(B,C)
| distinct_points(dollar_c1,D)
| distinct_points(C,D) ),
inference(hyper,[status(thm)],[88,4]),
[iquote('hyper,88,4')] ).
cnf(285,plain,
( distinct_points(A,dollar_c2)
| distinct_points(A,B)
| distinct_points(B,dollar_c1) ),
inference(hyper,[status(thm)],[88,1]),
[iquote('hyper,88,1')] ).
cnf(604,plain,
( apart_point_and_line(dollar_c3,line_connecting(dollar_c2,dollar_c1))
| apart_point_and_line(dollar_c1,line_connecting(dollar_c2,dollar_c1))
| apart_point_and_line(dollar_c2,line_connecting(dollar_c2,dollar_c1)) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[69,7,17]),16,15,1]),
[iquote('hyper,69,7,17,unit_del,16,15,1')] ).
cnf(1413,plain,
( distinct_points(A,dollar_c2)
| distinct_points(A,B)
| distinct_points(B,C)
| distinct_points(C,D)
| distinct_points(dollar_c1,E)
| distinct_points(D,E) ),
inference(hyper,[status(thm)],[284,4]),
[iquote('hyper,284,4')] ).
cnf(1856,plain,
( apart_point_and_line(dollar_c3,line_connecting(dollar_c2,dollar_c1))
| apart_point_and_line(dollar_c2,line_connecting(dollar_c2,dollar_c1)) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[604,8,285]),1,1,1]),
[iquote('hyper,604,8,285,unit_del,1,1,1')] ).
cnf(1930,plain,
apart_point_and_line(dollar_c3,line_connecting(dollar_c2,dollar_c1)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1856,7,285]),1,1,1]),
[iquote('hyper,1856,7,285,unit_del,1,1,1')] ).
cnf(1931,plain,
( distinct_lines(line_connecting(dollar_c2,dollar_c1),A)
| apart_point_and_line(dollar_c3,A) ),
inference(hyper,[status(thm)],[1930,13]),
[iquote('hyper,1930,13')] ).
cnf(2129,plain,
( apart_point_and_line(dollar_c3,A)
| apart_point_and_line(dollar_c1,line_connecting(dollar_c2,dollar_c1))
| apart_point_and_line(dollar_c1,A)
| apart_point_and_line(dollar_c2,line_connecting(dollar_c2,dollar_c1))
| apart_point_and_line(dollar_c2,A) ),
inference(hyper,[status(thm)],[1931,11,26]),
[iquote('hyper,1931,11,26')] ).
cnf(4843,plain,
( distinct_points(A,dollar_c2)
| distinct_points(A,B)
| distinct_points(B,C)
| distinct_points(C,D)
| distinct_points(D,dollar_c1) ),
inference(hyper,[status(thm)],[1413,1]),
[iquote('hyper,1413,1')] ).
cnf(4844,plain,
( distinct_points(A,dollar_c2)
| distinct_points(B,C)
| distinct_points(C,D)
| distinct_points(D,dollar_c1)
| distinct_points(A,E)
| distinct_points(B,E) ),
inference(hyper,[status(thm)],[4843,4]),
[iquote('hyper,4843,4')] ).
cnf(4875,plain,
( apart_point_and_line(dollar_c1,line_connecting(dollar_c2,dollar_c1))
| apart_point_and_line(dollar_c2,line_connecting(dollar_c2,dollar_c1)) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[2129,8,17]),16,15,1]),
[iquote('hyper,2129,8,17,unit_del,16,15,1')] ).
cnf(4908,plain,
apart_point_and_line(dollar_c2,line_connecting(dollar_c2,dollar_c1)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4875,8,285]),1,1,1]),
[iquote('hyper,4875,8,285,unit_del,1,1,1')] ).
cnf(4941,plain,
distinct_points(A,dollar_c2),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4908,7,4844]),1,1])])])]),
[iquote('hyper,4908,7,4844,unit_del,1,1,factor_simp,factor_simp,factor_simp')] ).
cnf(4942,plain,
$false,
inference(binary,[status(thm)],[4941,1]),
[iquote('binary,4941.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO177+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % 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 07:10:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.56/1.78 ----- Otter 3.3f, August 2004 -----
% 1.56/1.78 The process was started by sandbox2 on n007.cluster.edu,
% 1.56/1.78 Wed Jul 27 07:10:31 2022
% 1.56/1.78 The command was "./otter". The process ID is 6343.
% 1.56/1.78
% 1.56/1.78 set(prolog_style_variables).
% 1.56/1.78 set(auto).
% 1.56/1.78 dependent: set(auto1).
% 1.56/1.78 dependent: set(process_input).
% 1.56/1.78 dependent: clear(print_kept).
% 1.56/1.78 dependent: clear(print_new_demod).
% 1.56/1.78 dependent: clear(print_back_demod).
% 1.56/1.78 dependent: clear(print_back_sub).
% 1.56/1.78 dependent: set(control_memory).
% 1.56/1.78 dependent: assign(max_mem, 12000).
% 1.56/1.78 dependent: assign(pick_given_ratio, 4).
% 1.56/1.78 dependent: assign(stats_level, 1).
% 1.56/1.78 dependent: assign(max_seconds, 10800).
% 1.56/1.78 clear(print_given).
% 1.56/1.78
% 1.56/1.78 formula_list(usable).
% 1.56/1.78 all X (-distinct_points(X,X)).
% 1.56/1.78 all X (-distinct_lines(X,X)).
% 1.56/1.78 all X (-convergent_lines(X,X)).
% 1.56/1.78 all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 1.56/1.78 all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 1.56/1.78 all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 1.56/1.78 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))).
% 1.56/1.78 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)))).
% 1.56/1.78 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)).
% 1.56/1.78 all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 1.56/1.78 all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 1.56/1.78 all X Y (convergent_lines(X,Y)->distinct_lines(X,Y)).
% 1.56/1.78 -(all X Y U V (distinct_points(X,Y)&distinct_points(U,V)-> (apart_point_and_line(X,line_connecting(U,V))|apart_point_and_line(Y,line_connecting(U,V))->apart_point_and_line(U,line_connecting(X,Y))|apart_point_and_line(V,line_connecting(X,Y))))).
% 1.56/1.78 end_of_list.
% 1.56/1.78
% 1.56/1.78 -------> usable clausifies to:
% 1.56/1.78
% 1.56/1.78 list(usable).
% 1.56/1.78 0 [] -distinct_points(X,X).
% 1.56/1.78 0 [] -distinct_lines(X,X).
% 1.56/1.78 0 [] -convergent_lines(X,X).
% 1.56/1.78 0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 1.56/1.78 0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 1.56/1.78 0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 1.56/1.78 0 [] -distinct_points(X,Y)| -apart_point_and_line(Z,line_connecting(X,Y))|distinct_points(Z,X).
% 1.56/1.78 0 [] -distinct_points(X,Y)| -apart_point_and_line(Z,line_connecting(X,Y))|distinct_points(Z,Y).
% 1.56/1.78 0 [] -convergent_lines(X,Y)| -apart_point_and_line(Z,X)|distinct_points(Z,intersection_point(X,Y)).
% 1.56/1.78 0 [] -convergent_lines(X,Y)| -apart_point_and_line(Z,Y)|distinct_points(Z,intersection_point(X,Y)).
% 1.56/1.78 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).
% 1.56/1.78 0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 1.56/1.78 0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 1.56/1.78 0 [] -convergent_lines(X,Y)|distinct_lines(X,Y).
% 1.56/1.78 0 [] distinct_points($c4,$c3).
% 1.56/1.78 0 [] distinct_points($c2,$c1).
% 1.56/1.78 0 [] apart_point_and_line($c4,line_connecting($c2,$c1))|apart_point_and_line($c3,line_connecting($c2,$c1)).
% 1.56/1.78 0 [] -apart_point_and_line($c2,line_connecting($c4,$c3)).
% 1.56/1.78 0 [] -apart_point_and_line($c1,line_connecting($c4,$c3)).
% 1.56/1.78 end_of_list.
% 1.56/1.78
% 1.56/1.78 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.56/1.78
% 1.56/1.78 This is a non-Horn set without equality. The strategy will
% 1.56/1.78 be ordered hyper_res, unit deletion, and factoring, with
% 1.56/1.78 satellites in sos and with nuclei in usable.
% 1.56/1.78
% 1.56/1.78 dependent: set(hyper_res).
% 1.56/1.78 dependent: set(factor).
% 1.56/1.78 dependent: set(unit_deletion).
% 1.56/1.78
% 1.56/1.78 ------------> process usable:
% 1.56/1.78 ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 1.56/1.78 ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 1.56/1.78 ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 1.56/1.78 ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.56/1.78 ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 1.56/1.78 ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 1.56/1.78 ** KEPT (pick-wt=11): 7 [] -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,A).
% 111.90/112.18 ** KEPT (pick-wt=11): 8 [] -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,B).
% 111.90/112.18 ** KEPT (pick-wt=11): 9 [] -convergent_lines(A,B)| -apart_point_and_line(C,A)|distinct_points(C,intersection_point(A,B)).
% 111.90/112.18 ** KEPT (pick-wt=11): 10 [] -convergent_lines(A,B)| -apart_point_and_line(C,B)|distinct_points(C,intersection_point(A,B)).
% 111.90/112.18 ** 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).
% 111.90/112.18 ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 111.90/112.18 ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 111.90/112.18 ** KEPT (pick-wt=6): 14 [] -convergent_lines(A,B)|distinct_lines(A,B).
% 111.90/112.18 ** KEPT (pick-wt=5): 15 [] -apart_point_and_line($c2,line_connecting($c4,$c3)).
% 111.90/112.18 ** KEPT (pick-wt=5): 16 [] -apart_point_and_line($c1,line_connecting($c4,$c3)).
% 111.90/112.18
% 111.90/112.18 ------------> process sos:
% 111.90/112.18 ** KEPT (pick-wt=3): 17 [] distinct_points($c4,$c3).
% 111.90/112.18 ** KEPT (pick-wt=3): 18 [] distinct_points($c2,$c1).
% 111.90/112.18 ** KEPT (pick-wt=10): 19 [] apart_point_and_line($c4,line_connecting($c2,$c1))|apart_point_and_line($c3,line_connecting($c2,$c1)).
% 111.90/112.18
% 111.90/112.18 ======= end of input processing =======
% 111.90/112.18
% 111.90/112.18 =========== start of search ===========
% 111.90/112.18
% 111.90/112.18
% 111.90/112.18 Resetting weight limit to 18.
% 111.90/112.18
% 111.90/112.18
% 111.90/112.18 Resetting weight limit to 18.
% 111.90/112.18
% 111.90/112.18 sos_size=2682
% 111.90/112.18
% 111.90/112.18 -- HEY sandbox2, WE HAVE A PROOF!! --
% 111.90/112.18
% 111.90/112.18 ----> UNIT CONFLICT at 110.40 sec ----> 4942 [binary,4941.1,1.1] $F.
% 111.90/112.18
% 111.90/112.18 Length of proof is 21. Level of proof is 13.
% 111.90/112.18
% 111.90/112.18 ---------------- PROOF ----------------
% 111.90/112.18 % SZS status Theorem
% 111.90/112.18 % SZS output start Refutation
% See solution above
% 111.90/112.18 ------------ end of proof -------------
% 111.90/112.18
% 111.90/112.18
% 111.90/112.18 Search stopped by max_proofs option.
% 111.90/112.18
% 111.90/112.18
% 111.90/112.18 Search stopped by max_proofs option.
% 111.90/112.18
% 111.90/112.18 ============ end of search ============
% 111.90/112.18
% 111.90/112.18 -------------- statistics -------------
% 111.90/112.18 clauses given 658
% 111.90/112.18 clauses generated 322658
% 111.90/112.18 clauses kept 4941
% 111.90/112.18 clauses forward subsumed 91085
% 111.90/112.18 clauses back subsumed 2538
% 111.90/112.18 Kbytes malloced 4882
% 111.90/112.18
% 111.90/112.18 ----------- times (seconds) -----------
% 111.90/112.18 user CPU time 110.40 (0 hr, 1 min, 50 sec)
% 111.90/112.18 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 111.90/112.18 wall-clock time 112 (0 hr, 1 min, 52 sec)
% 111.90/112.18
% 111.90/112.18 That finishes the proof of the theorem.
% 111.90/112.18
% 111.90/112.18 Process 6343 finished Wed Jul 27 07:12:23 2022
% 111.90/112.18 Otter interrupted
% 111.90/112.18 PROOF FOUND
%------------------------------------------------------------------------------