TSTP Solution File: GEO188+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO188+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n014.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 12:54:41 EDT 2022
% Result : Theorem 4.18s 4.36s
% Output : Refutation 4.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 33 ( 9 unt; 22 nHn; 11 RR)
% Number of literals : 85 ( 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 : 51 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ distinct_points(A,A),
file('GEO188+2.p',unknown),
[] ).
cnf(4,axiom,
( ~ distinct_points(A,B)
| distinct_points(A,C)
| distinct_points(B,C) ),
file('GEO188+2.p',unknown),
[] ).
cnf(7,axiom,
( ~ distinct_points(A,B)
| ~ apart_point_and_line(C,line_connecting(A,B))
| distinct_points(C,A) ),
file('GEO188+2.p',unknown),
[] ).
cnf(8,axiom,
( ~ distinct_points(A,B)
| ~ apart_point_and_line(C,line_connecting(A,B))
| distinct_points(C,B) ),
file('GEO188+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('GEO188+2.p',unknown),
[] ).
cnf(13,axiom,
( ~ apart_point_and_line(A,B)
| distinct_lines(B,C)
| apart_point_and_line(A,C) ),
file('GEO188+2.p',unknown),
[] ).
cnf(15,axiom,
~ apart_point_and_line(dollar_c1,line_connecting(dollar_c3,dollar_c2)),
file('GEO188+2.p',unknown),
[] ).
cnf(16,axiom,
distinct_points(dollar_c3,dollar_c2),
file('GEO188+2.p',unknown),
[] ).
cnf(18,axiom,
distinct_points(dollar_c2,dollar_c1),
file('GEO188+2.p',unknown),
[] ).
cnf(19,axiom,
apart_point_and_line(dollar_c3,line_connecting(dollar_c1,dollar_c2)),
file('GEO188+2.p',unknown),
[] ).
cnf(20,plain,
( distinct_points(dollar_c3,A)
| distinct_points(dollar_c2,A) ),
inference(hyper,[status(thm)],[16,4]),
[iquote('hyper,16,4')] ).
cnf(22,plain,
( distinct_points(dollar_c2,A)
| distinct_points(dollar_c1,A) ),
inference(hyper,[status(thm)],[18,4]),
[iquote('hyper,18,4')] ).
cnf(23,plain,
( distinct_lines(line_connecting(dollar_c1,dollar_c2),A)
| apart_point_and_line(dollar_c3,A) ),
inference(hyper,[status(thm)],[19,13]),
[iquote('hyper,19,13')] ).
cnf(25,plain,
( distinct_points(dollar_c2,A)
| distinct_points(dollar_c3,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[20,4]),
[iquote('hyper,20,4')] ).
cnf(31,plain,
( distinct_points(dollar_c1,A)
| distinct_points(dollar_c2,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[22,4]),
[iquote('hyper,22,4')] ).
cnf(32,plain,
distinct_points(dollar_c1,dollar_c2),
inference(hyper,[status(thm)],[22,1]),
[iquote('hyper,22,1')] ).
cnf(34,plain,
( apart_point_and_line(dollar_c3,A)
| apart_point_and_line(dollar_c1,line_connecting(dollar_c1,dollar_c2))
| apart_point_and_line(dollar_c1,A)
| apart_point_and_line(dollar_c2,line_connecting(dollar_c1,dollar_c2))
| apart_point_and_line(dollar_c2,A) ),
inference(hyper,[status(thm)],[23,11,32]),
[iquote('hyper,23,11,32')] ).
cnf(41,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(A,dollar_c3)
| distinct_points(dollar_c2,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[41,4]),
[iquote('hyper,41,4')] ).
cnf(63,plain,
( distinct_points(dollar_c1,A)
| distinct_points(A,dollar_c2) ),
inference(hyper,[status(thm)],[31,1]),
[iquote('hyper,31,1')] ).
cnf(65,plain,
( distinct_points(dollar_c1,A)
| distinct_points(dollar_c2,B)
| distinct_points(A,C)
| distinct_points(B,C) ),
inference(hyper,[status(thm)],[31,4]),
[iquote('hyper,31,4')] ).
cnf(66,plain,
( distinct_points(dollar_c2,A)
| distinct_points(A,dollar_c1) ),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[65]),1]),
[iquote('factor,65.1.3,unit_del,1')] ).
cnf(70,plain,
( distinct_points(A,dollar_c1)
| distinct_points(dollar_c2,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[66,4]),
[iquote('hyper,66,4')] ).
cnf(75,plain,
( distinct_points(A,dollar_c3)
| distinct_points(A,B)
| distinct_points(dollar_c2,C)
| distinct_points(B,C) ),
inference(hyper,[status(thm)],[45,4]),
[iquote('hyper,45,4')] ).
cnf(115,plain,
( apart_point_and_line(dollar_c3,A)
| apart_point_and_line(dollar_c1,A)
| apart_point_and_line(dollar_c2,line_connecting(dollar_c1,dollar_c2))
| apart_point_and_line(dollar_c2,A) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[34,7,63]),1,1]),
[iquote('hyper,34,7,63,unit_del,1,1')] ).
cnf(200,plain,
( distinct_points(A,dollar_c1)
| distinct_points(A,B)
| distinct_points(dollar_c2,C)
| distinct_points(B,C) ),
inference(hyper,[status(thm)],[70,4]),
[iquote('hyper,70,4')] ).
cnf(392,plain,
( distinct_points(A,dollar_c3)
| distinct_points(A,B)
| distinct_points(B,dollar_c2) ),
inference(hyper,[status(thm)],[75,1]),
[iquote('hyper,75,1')] ).
cnf(398,plain,
( distinct_points(A,dollar_c3)
| distinct_points(B,dollar_c2)
| distinct_points(A,C)
| distinct_points(B,C) ),
inference(hyper,[status(thm)],[392,4]),
[iquote('hyper,392,4')] ).
cnf(489,plain,
( distinct_points(A,dollar_c1)
| distinct_points(A,B)
| distinct_points(B,dollar_c2) ),
inference(hyper,[status(thm)],[200,1]),
[iquote('hyper,200,1')] ).
cnf(853,plain,
( apart_point_and_line(dollar_c3,A)
| apart_point_and_line(dollar_c1,A)
| apart_point_and_line(dollar_c2,A) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[115,8,489]),1,1,1]),
[iquote('hyper,115,8,489,unit_del,1,1,1')] ).
cnf(1157,plain,
apart_point_and_line(dollar_c2,line_connecting(dollar_c3,dollar_c2)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[853,7,16]),15,1]),
[iquote('hyper,853,7,16,unit_del,15,1')] ).
cnf(1455,plain,
distinct_points(A,dollar_c2),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1157,8,398]),1,1])]),
[iquote('hyper,1157,8,398,unit_del,1,1,factor_simp')] ).
cnf(1456,plain,
$false,
inference(binary,[status(thm)],[1455,1]),
[iquote('binary,1455.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO188+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.14/0.33 % Computer : n014.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Wed Jul 27 07:22:09 EDT 2022
% 0.14/0.33 % CPUTime :
% 1.68/1.87 ----- Otter 3.3f, August 2004 -----
% 1.68/1.87 The process was started by sandbox on n014.cluster.edu,
% 1.68/1.87 Wed Jul 27 07:22:09 2022
% 1.68/1.87 The command was "./otter". The process ID is 13050.
% 1.68/1.87
% 1.68/1.87 set(prolog_style_variables).
% 1.68/1.87 set(auto).
% 1.68/1.87 dependent: set(auto1).
% 1.68/1.87 dependent: set(process_input).
% 1.68/1.87 dependent: clear(print_kept).
% 1.68/1.87 dependent: clear(print_new_demod).
% 1.68/1.87 dependent: clear(print_back_demod).
% 1.68/1.87 dependent: clear(print_back_sub).
% 1.68/1.87 dependent: set(control_memory).
% 1.68/1.87 dependent: assign(max_mem, 12000).
% 1.68/1.87 dependent: assign(pick_given_ratio, 4).
% 1.68/1.87 dependent: assign(stats_level, 1).
% 1.68/1.87 dependent: assign(max_seconds, 10800).
% 1.68/1.87 clear(print_given).
% 1.68/1.87
% 1.68/1.87 formula_list(usable).
% 1.68/1.87 all X (-distinct_points(X,X)).
% 1.68/1.87 all X (-distinct_lines(X,X)).
% 1.68/1.87 all X (-convergent_lines(X,X)).
% 1.68/1.87 all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 1.68/1.87 all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 1.68/1.87 all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 1.68/1.87 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))).
% 1.68/1.87 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)))).
% 1.68/1.87 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)).
% 1.68/1.87 all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 1.68/1.87 all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 1.68/1.87 all X Y (convergent_lines(X,Y)->distinct_lines(X,Y)).
% 1.68/1.87 -(all X Y Z (distinct_points(X,Y)&distinct_points(X,Z)&distinct_points(Y,Z)& -apart_point_and_line(Z,line_connecting(X,Y))-> -apart_point_and_line(X,line_connecting(Z,Y)))).
% 1.68/1.87 end_of_list.
% 1.68/1.87
% 1.68/1.87 -------> usable clausifies to:
% 1.68/1.87
% 1.68/1.87 list(usable).
% 1.68/1.87 0 [] -distinct_points(X,X).
% 1.68/1.87 0 [] -distinct_lines(X,X).
% 1.68/1.87 0 [] -convergent_lines(X,X).
% 1.68/1.87 0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 1.68/1.87 0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 1.68/1.87 0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 1.68/1.87 0 [] -distinct_points(X,Y)| -apart_point_and_line(Z,line_connecting(X,Y))|distinct_points(Z,X).
% 1.68/1.87 0 [] -distinct_points(X,Y)| -apart_point_and_line(Z,line_connecting(X,Y))|distinct_points(Z,Y).
% 1.68/1.87 0 [] -convergent_lines(X,Y)| -apart_point_and_line(Z,X)|distinct_points(Z,intersection_point(X,Y)).
% 1.68/1.87 0 [] -convergent_lines(X,Y)| -apart_point_and_line(Z,Y)|distinct_points(Z,intersection_point(X,Y)).
% 1.68/1.87 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).
% 1.68/1.87 0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 1.68/1.87 0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 1.68/1.87 0 [] -convergent_lines(X,Y)|distinct_lines(X,Y).
% 1.68/1.87 0 [] distinct_points($c3,$c2).
% 1.68/1.87 0 [] distinct_points($c3,$c1).
% 1.68/1.87 0 [] distinct_points($c2,$c1).
% 1.68/1.87 0 [] -apart_point_and_line($c1,line_connecting($c3,$c2)).
% 1.68/1.87 0 [] apart_point_and_line($c3,line_connecting($c1,$c2)).
% 1.68/1.87 end_of_list.
% 1.68/1.87
% 1.68/1.87 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.68/1.87
% 1.68/1.87 This is a non-Horn set without equality. The strategy will
% 1.68/1.87 be ordered hyper_res, unit deletion, and factoring, with
% 1.68/1.87 satellites in sos and with nuclei in usable.
% 1.68/1.87
% 1.68/1.87 dependent: set(hyper_res).
% 1.68/1.87 dependent: set(factor).
% 1.68/1.87 dependent: set(unit_deletion).
% 1.68/1.87
% 1.68/1.87 ------------> process usable:
% 1.68/1.87 ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 1.68/1.87 ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 1.68/1.87 ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 1.68/1.87 ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.68/1.87 ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 1.68/1.87 ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 1.68/1.87 ** KEPT (pick-wt=11): 7 [] -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,A).
% 1.68/1.87 ** KEPT (pick-wt=11): 8 [] -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,B).
% 4.18/4.36 ** KEPT (pick-wt=11): 9 [] -convergent_lines(A,B)| -apart_point_and_line(C,A)|distinct_points(C,intersection_point(A,B)).
% 4.18/4.36 ** KEPT (pick-wt=11): 10 [] -convergent_lines(A,B)| -apart_point_and_line(C,B)|distinct_points(C,intersection_point(A,B)).
% 4.18/4.36 ** 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).
% 4.18/4.36 ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 4.18/4.36 ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 4.18/4.36 ** KEPT (pick-wt=6): 14 [] -convergent_lines(A,B)|distinct_lines(A,B).
% 4.18/4.36 ** KEPT (pick-wt=5): 15 [] -apart_point_and_line($c1,line_connecting($c3,$c2)).
% 4.18/4.36
% 4.18/4.36 ------------> process sos:
% 4.18/4.36 ** KEPT (pick-wt=3): 16 [] distinct_points($c3,$c2).
% 4.18/4.36 ** KEPT (pick-wt=3): 17 [] distinct_points($c3,$c1).
% 4.18/4.36 ** KEPT (pick-wt=3): 18 [] distinct_points($c2,$c1).
% 4.18/4.36 ** KEPT (pick-wt=5): 19 [] apart_point_and_line($c3,line_connecting($c1,$c2)).
% 4.18/4.36
% 4.18/4.36 ======= end of input processing =======
% 4.18/4.36
% 4.18/4.36 =========== start of search ===========
% 4.18/4.36
% 4.18/4.36 -------- PROOF --------
% 4.18/4.36
% 4.18/4.36 ----> UNIT CONFLICT at 2.49 sec ----> 1456 [binary,1455.1,1.1] $F.
% 4.18/4.36
% 4.18/4.36 Length of proof is 22. Level of proof is 10.
% 4.18/4.36
% 4.18/4.36 ---------------- PROOF ----------------
% 4.18/4.36 % SZS status Theorem
% 4.18/4.36 % SZS output start Refutation
% See solution above
% 4.18/4.36 ------------ end of proof -------------
% 4.18/4.36
% 4.18/4.36
% 4.18/4.36 Search stopped by max_proofs option.
% 4.18/4.36
% 4.18/4.36
% 4.18/4.36 Search stopped by max_proofs option.
% 4.18/4.36
% 4.18/4.36 ============ end of search ============
% 4.18/4.36
% 4.18/4.36 -------------- statistics -------------
% 4.18/4.36 clauses given 98
% 4.18/4.36 clauses generated 13601
% 4.18/4.36 clauses kept 1455
% 4.18/4.36 clauses forward subsumed 12165
% 4.18/4.36 clauses back subsumed 739
% 4.18/4.36 Kbytes malloced 1953
% 4.18/4.36
% 4.18/4.36 ----------- times (seconds) -----------
% 4.18/4.36 user CPU time 2.49 (0 hr, 0 min, 2 sec)
% 4.18/4.36 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 4.18/4.36 wall-clock time 4 (0 hr, 0 min, 4 sec)
% 4.18/4.36
% 4.18/4.36 That finishes the proof of the theorem.
% 4.18/4.36
% 4.18/4.36 Process 13050 finished Wed Jul 27 07:22:13 2022
% 4.18/4.36 Otter interrupted
% 4.18/4.36 PROOF FOUND
%------------------------------------------------------------------------------