TSTP Solution File: GEO182+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO182+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n021.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 12:54:39 EDT 2022
% Result : Theorem 25.62s 25.81s
% Output : Refutation 25.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 29 ( 8 unt; 19 nHn; 10 RR)
% Number of literals : 75 ( 0 equ; 10 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 45 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ distinct_points(A,A),
file('GEO182+2.p',unknown),
[] ).
cnf(4,axiom,
( ~ distinct_points(A,B)
| distinct_points(A,C)
| distinct_points(B,C) ),
file('GEO182+2.p',unknown),
[] ).
cnf(7,axiom,
( ~ distinct_points(A,B)
| ~ apart_point_and_line(C,line_connecting(A,B))
| distinct_points(C,A) ),
file('GEO182+2.p',unknown),
[] ).
cnf(8,axiom,
( ~ distinct_points(A,B)
| ~ apart_point_and_line(C,line_connecting(A,B))
| distinct_points(C,B) ),
file('GEO182+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('GEO182+2.p',unknown),
[] ).
cnf(13,axiom,
( ~ apart_point_and_line(A,B)
| distinct_lines(B,C)
| apart_point_and_line(A,C) ),
file('GEO182+2.p',unknown),
[] ).
cnf(15,axiom,
~ apart_point_and_line(dollar_c1,line_connecting(dollar_c2,dollar_c3)),
file('GEO182+2.p',unknown),
[] ).
cnf(16,axiom,
distinct_points(dollar_c3,dollar_c2),
file('GEO182+2.p',unknown),
[] ).
cnf(17,axiom,
apart_point_and_line(dollar_c1,line_connecting(dollar_c3,dollar_c2)),
file('GEO182+2.p',unknown),
[] ).
cnf(18,plain,
( distinct_points(dollar_c3,A)
| distinct_points(dollar_c2,A) ),
inference(hyper,[status(thm)],[16,4]),
[iquote('hyper,16,4')] ).
cnf(19,plain,
( distinct_lines(line_connecting(dollar_c3,dollar_c2),A)
| apart_point_and_line(dollar_c1,A) ),
inference(hyper,[status(thm)],[17,13]),
[iquote('hyper,17,13')] ).
cnf(25,plain,
( distinct_points(dollar_c2,A)
| distinct_points(dollar_c3,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[18,4]),
[iquote('hyper,18,4')] ).
cnf(26,plain,
distinct_points(dollar_c2,dollar_c3),
inference(hyper,[status(thm)],[18,1]),
[iquote('hyper,18,1')] ).
cnf(30,plain,
( apart_point_and_line(dollar_c1,A)
| apart_point_and_line(dollar_c3,line_connecting(dollar_c3,dollar_c2))
| apart_point_and_line(dollar_c3,A)
| apart_point_and_line(dollar_c2,line_connecting(dollar_c3,dollar_c2))
| apart_point_and_line(dollar_c2,A) ),
inference(hyper,[status(thm)],[19,11,16]),
[iquote('hyper,19,11,16')] ).
cnf(43,plain,
( distinct_points(dollar_c2,A)
| distinct_points(A,dollar_c3) ),
inference(hyper,[status(thm)],[25,1]),
[iquote('hyper,25,1')] ).
cnf(45,plain,
( distinct_points(dollar_c2,A)
| distinct_points(dollar_c3,B)
| distinct_points(A,C)
| distinct_points(B,C) ),
inference(hyper,[status(thm)],[25,4]),
[iquote('hyper,25,4')] ).
cnf(46,plain,
( distinct_points(dollar_c3,A)
| distinct_points(A,dollar_c2) ),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[45]),1]),
[iquote('factor,45.1.3,unit_del,1')] ).
cnf(48,plain,
( distinct_points(A,dollar_c3)
| distinct_points(dollar_c2,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[43,4]),
[iquote('hyper,43,4')] ).
cnf(50,plain,
( distinct_points(A,dollar_c2)
| distinct_points(dollar_c3,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[46,4]),
[iquote('hyper,46,4')] ).
cnf(76,plain,
( distinct_points(A,dollar_c3)
| distinct_points(A,B)
| distinct_points(dollar_c2,C)
| distinct_points(B,C) ),
inference(hyper,[status(thm)],[48,4]),
[iquote('hyper,48,4')] ).
cnf(77,plain,
( distinct_points(A,dollar_c3)
| distinct_points(A,dollar_c2) ),
inference(hyper,[status(thm)],[48,1]),
[iquote('hyper,48,1')] ).
cnf(81,plain,
( distinct_points(A,dollar_c2)
| distinct_points(A,B)
| distinct_points(dollar_c3,C)
| distinct_points(B,C) ),
inference(hyper,[status(thm)],[50,4]),
[iquote('hyper,50,4')] ).
cnf(126,plain,
( apart_point_and_line(dollar_c1,A)
| apart_point_and_line(dollar_c3,A)
| apart_point_and_line(dollar_c2,line_connecting(dollar_c3,dollar_c2))
| apart_point_and_line(dollar_c2,A) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[30,7,77]),1,1]),
[iquote('hyper,30,7,77,unit_del,1,1')] ).
cnf(430,plain,
( distinct_points(A,dollar_c3)
| distinct_points(A,B)
| distinct_points(B,dollar_c2) ),
inference(hyper,[status(thm)],[76,1]),
[iquote('hyper,76,1')] ).
cnf(457,plain,
( distinct_points(A,dollar_c2)
| distinct_points(A,B)
| distinct_points(B,dollar_c3) ),
inference(hyper,[status(thm)],[81,1]),
[iquote('hyper,81,1')] ).
cnf(1970,plain,
( apart_point_and_line(dollar_c1,A)
| apart_point_and_line(dollar_c3,A)
| apart_point_and_line(dollar_c2,A) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[126,8,430]),1,1,1]),
[iquote('hyper,126,8,430,unit_del,1,1,1')] ).
cnf(2340,plain,
apart_point_and_line(dollar_c2,line_connecting(dollar_c2,dollar_c3)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1970,8,26]),15,1]),
[iquote('hyper,1970,8,26,unit_del,15,1')] ).
cnf(2568,plain,
distinct_points(A,dollar_c2),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[2340,7,457]),1])]),
[iquote('hyper,2340,7,457,unit_del,1,factor_simp')] ).
cnf(2569,plain,
$false,
inference(binary,[status(thm)],[2568,1]),
[iquote('binary,2568.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO182+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n021.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 07:02:08 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.59/1.78 ----- Otter 3.3f, August 2004 -----
% 1.59/1.78 The process was started by sandbox2 on n021.cluster.edu,
% 1.59/1.78 Wed Jul 27 07:02:08 2022
% 1.59/1.78 The command was "./otter". The process ID is 22764.
% 1.59/1.78
% 1.59/1.78 set(prolog_style_variables).
% 1.59/1.78 set(auto).
% 1.59/1.78 dependent: set(auto1).
% 1.59/1.78 dependent: set(process_input).
% 1.59/1.78 dependent: clear(print_kept).
% 1.59/1.78 dependent: clear(print_new_demod).
% 1.59/1.78 dependent: clear(print_back_demod).
% 1.59/1.78 dependent: clear(print_back_sub).
% 1.59/1.78 dependent: set(control_memory).
% 1.59/1.78 dependent: assign(max_mem, 12000).
% 1.59/1.78 dependent: assign(pick_given_ratio, 4).
% 1.59/1.78 dependent: assign(stats_level, 1).
% 1.59/1.78 dependent: assign(max_seconds, 10800).
% 1.59/1.78 clear(print_given).
% 1.59/1.78
% 1.59/1.78 formula_list(usable).
% 1.59/1.78 all X (-distinct_points(X,X)).
% 1.59/1.78 all X (-distinct_lines(X,X)).
% 1.59/1.78 all X (-convergent_lines(X,X)).
% 1.59/1.78 all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 1.59/1.78 all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 1.59/1.78 all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 1.59/1.78 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))).
% 1.59/1.78 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)))).
% 1.59/1.78 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)).
% 1.59/1.78 all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 1.59/1.78 all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 1.59/1.78 all X Y (convergent_lines(X,Y)->distinct_lines(X,Y)).
% 1.59/1.78 -(all X Y Z (distinct_points(X,Y)-> (apart_point_and_line(Z,line_connecting(X,Y))->apart_point_and_line(Z,line_connecting(Y,X))))).
% 1.59/1.78 end_of_list.
% 1.59/1.78
% 1.59/1.78 -------> usable clausifies to:
% 1.59/1.78
% 1.59/1.78 list(usable).
% 1.59/1.78 0 [] -distinct_points(X,X).
% 1.59/1.78 0 [] -distinct_lines(X,X).
% 1.59/1.78 0 [] -convergent_lines(X,X).
% 1.59/1.78 0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 1.59/1.78 0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 1.59/1.78 0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 1.59/1.78 0 [] -distinct_points(X,Y)| -apart_point_and_line(Z,line_connecting(X,Y))|distinct_points(Z,X).
% 1.59/1.78 0 [] -distinct_points(X,Y)| -apart_point_and_line(Z,line_connecting(X,Y))|distinct_points(Z,Y).
% 1.59/1.78 0 [] -convergent_lines(X,Y)| -apart_point_and_line(Z,X)|distinct_points(Z,intersection_point(X,Y)).
% 1.59/1.78 0 [] -convergent_lines(X,Y)| -apart_point_and_line(Z,Y)|distinct_points(Z,intersection_point(X,Y)).
% 1.59/1.78 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).
% 1.59/1.78 0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 1.59/1.78 0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 1.59/1.78 0 [] -convergent_lines(X,Y)|distinct_lines(X,Y).
% 1.59/1.78 0 [] distinct_points($c3,$c2).
% 1.59/1.78 0 [] apart_point_and_line($c1,line_connecting($c3,$c2)).
% 1.59/1.78 0 [] -apart_point_and_line($c1,line_connecting($c2,$c3)).
% 1.59/1.78 end_of_list.
% 1.59/1.78
% 1.59/1.78 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.59/1.78
% 1.59/1.78 This is a non-Horn set without equality. The strategy will
% 1.59/1.78 be ordered hyper_res, unit deletion, and factoring, with
% 1.59/1.78 satellites in sos and with nuclei in usable.
% 1.59/1.78
% 1.59/1.78 dependent: set(hyper_res).
% 1.59/1.78 dependent: set(factor).
% 1.59/1.78 dependent: set(unit_deletion).
% 1.59/1.78
% 1.59/1.78 ------------> process usable:
% 1.59/1.78 ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 1.59/1.78 ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 1.59/1.78 ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 1.59/1.78 ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.59/1.78 ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 1.59/1.78 ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 1.59/1.78 ** KEPT (pick-wt=11): 7 [] -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,A).
% 1.59/1.78 ** KEPT (pick-wt=11): 8 [] -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,B).
% 1.59/1.78 ** KEPT (pick-wt=11): 9 [] -convergent_lines(A,B)| -apart_point_and_line(C,A)|distinct_points(C,intersection_point(A,B)).
% 25.62/25.81 ** KEPT (pick-wt=11): 10 [] -convergent_lines(A,B)| -apart_point_and_line(C,B)|distinct_points(C,intersection_point(A,B)).
% 25.62/25.81 ** 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).
% 25.62/25.81 ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 25.62/25.81 ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 25.62/25.81 ** KEPT (pick-wt=6): 14 [] -convergent_lines(A,B)|distinct_lines(A,B).
% 25.62/25.81 ** KEPT (pick-wt=5): 15 [] -apart_point_and_line($c1,line_connecting($c2,$c3)).
% 25.62/25.81
% 25.62/25.81 ------------> process sos:
% 25.62/25.81 ** KEPT (pick-wt=3): 16 [] distinct_points($c3,$c2).
% 25.62/25.81 ** KEPT (pick-wt=5): 17 [] apart_point_and_line($c1,line_connecting($c3,$c2)).
% 25.62/25.81
% 25.62/25.81 ======= end of input processing =======
% 25.62/25.81
% 25.62/25.81 =========== start of search ===========
% 25.62/25.81
% 25.62/25.81 -- HEY sandbox2, WE HAVE A PROOF!! --
% 25.62/25.81
% 25.62/25.81 ----> UNIT CONFLICT at 24.03 sec ----> 2569 [binary,2568.1,1.1] $F.
% 25.62/25.81
% 25.62/25.81 Length of proof is 19. Level of proof is 9.
% 25.62/25.81
% 25.62/25.81 ---------------- PROOF ----------------
% 25.62/25.81 % SZS status Theorem
% 25.62/25.81 % SZS output start Refutation
% See solution above
% 25.62/25.81 ------------ end of proof -------------
% 25.62/25.81
% 25.62/25.81
% 25.62/25.81 Search stopped by max_proofs option.
% 25.62/25.81
% 25.62/25.81
% 25.62/25.81 Search stopped by max_proofs option.
% 25.62/25.81
% 25.62/25.81 ============ end of search ============
% 25.62/25.81
% 25.62/25.81 -------------- statistics -------------
% 25.62/25.81 clauses given 100
% 25.62/25.81 clauses generated 36672
% 25.62/25.81 clauses kept 2568
% 25.62/25.81 clauses forward subsumed 34121
% 25.62/25.81 clauses back subsumed 1371
% 25.62/25.81 Kbytes malloced 2929
% 25.62/25.81
% 25.62/25.81 ----------- times (seconds) -----------
% 25.62/25.81 user CPU time 24.03 (0 hr, 0 min, 24 sec)
% 25.62/25.81 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 25.62/25.81 wall-clock time 25 (0 hr, 0 min, 25 sec)
% 25.62/25.81
% 25.62/25.81 That finishes the proof of the theorem.
% 25.62/25.81
% 25.62/25.81 Process 22764 finished Wed Jul 27 07:02:33 2022
% 25.62/25.81 Otter interrupted
% 25.62/25.81 PROOF FOUND
%------------------------------------------------------------------------------