TSTP Solution File: GEO180+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO180+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n008.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 12:54:38 EDT 2022
% Result : Theorem 24.84s 25.09s
% Output : Refutation 24.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 31 ( 8 unt; 21 nHn; 10 RR)
% Number of literals : 80 ( 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 : 48 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ distinct_points(A,A),
file('GEO180+2.p',unknown),
[] ).
cnf(4,axiom,
( ~ distinct_points(A,B)
| distinct_points(A,C)
| distinct_points(B,C) ),
file('GEO180+2.p',unknown),
[] ).
cnf(7,axiom,
( ~ distinct_points(A,B)
| ~ apart_point_and_line(C,line_connecting(A,B))
| distinct_points(C,A) ),
file('GEO180+2.p',unknown),
[] ).
cnf(8,axiom,
( ~ distinct_points(A,B)
| ~ apart_point_and_line(C,line_connecting(A,B))
| distinct_points(C,B) ),
file('GEO180+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('GEO180+2.p',unknown),
[] ).
cnf(13,axiom,
( ~ apart_point_and_line(A,B)
| distinct_lines(B,C)
| apart_point_and_line(A,C) ),
file('GEO180+2.p',unknown),
[] ).
cnf(15,axiom,
~ apart_point_and_line(dollar_c3,line_connecting(dollar_c1,dollar_c2)),
file('GEO180+2.p',unknown),
[] ).
cnf(16,axiom,
distinct_points(dollar_c3,dollar_c2),
file('GEO180+2.p',unknown),
[] ).
cnf(17,axiom,
apart_point_and_line(dollar_c1,line_connecting(dollar_c3,dollar_c2)),
file('GEO180+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(21,plain,
distinct_points(dollar_c1,dollar_c2),
inference(hyper,[status(thm)],[17,8,16]),
[iquote('hyper,17,8,16')] ).
cnf(23,plain,
( distinct_points(dollar_c1,A)
| distinct_points(dollar_c2,A) ),
inference(hyper,[status(thm)],[21,4]),
[iquote('hyper,21,4')] ).
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(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(32,plain,
( distinct_points(dollar_c2,A)
| distinct_points(dollar_c1,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[23,4]),
[iquote('hyper,23,4')] ).
cnf(43,plain,
( distinct_points(dollar_c2,A)
| distinct_points(A,dollar_c3) ),
inference(hyper,[status(thm)],[25,1]),
[iquote('hyper,25,1')] ).
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(56,plain,
( distinct_points(dollar_c2,A)
| distinct_points(A,dollar_c1) ),
inference(hyper,[status(thm)],[32,1]),
[iquote('hyper,32,1')] ).
cnf(60,plain,
( distinct_points(A,dollar_c1)
| distinct_points(dollar_c2,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[56,4]),
[iquote('hyper,56,4')] ).
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(85,plain,
( distinct_points(A,dollar_c1)
| distinct_points(A,B)
| distinct_points(dollar_c2,C)
| distinct_points(B,C) ),
inference(hyper,[status(thm)],[60,4]),
[iquote('hyper,60,4')] ).
cnf(125,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(429,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(476,plain,
( distinct_points(A,dollar_c1)
| distinct_points(A,B)
| distinct_points(B,dollar_c2) ),
inference(hyper,[status(thm)],[85,1]),
[iquote('hyper,85,1')] ).
cnf(482,plain,
( distinct_points(A,dollar_c1)
| distinct_points(B,dollar_c2)
| distinct_points(A,C)
| distinct_points(B,C) ),
inference(hyper,[status(thm)],[476,4]),
[iquote('hyper,476,4')] ).
cnf(1966,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)],[125,8,429]),1,1,1]),
[iquote('hyper,125,8,429,unit_del,1,1,1')] ).
cnf(2260,plain,
apart_point_and_line(dollar_c2,line_connecting(dollar_c1,dollar_c2)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1966,7,21]),15,1]),
[iquote('hyper,1966,7,21,unit_del,15,1')] ).
cnf(2564,plain,
distinct_points(A,dollar_c2),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[2260,8,482]),1,1])]),
[iquote('hyper,2260,8,482,unit_del,1,1,factor_simp')] ).
cnf(2565,plain,
$false,
inference(binary,[status(thm)],[2564,1]),
[iquote('binary,2564.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO180+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n008.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 07:16:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.72/1.93 ----- Otter 3.3f, August 2004 -----
% 1.72/1.93 The process was started by sandbox2 on n008.cluster.edu,
% 1.72/1.93 Wed Jul 27 07:16:08 2022
% 1.72/1.93 The command was "./otter". The process ID is 11381.
% 1.72/1.93
% 1.72/1.93 set(prolog_style_variables).
% 1.72/1.93 set(auto).
% 1.72/1.93 dependent: set(auto1).
% 1.72/1.93 dependent: set(process_input).
% 1.72/1.93 dependent: clear(print_kept).
% 1.72/1.93 dependent: clear(print_new_demod).
% 1.72/1.93 dependent: clear(print_back_demod).
% 1.72/1.93 dependent: clear(print_back_sub).
% 1.72/1.93 dependent: set(control_memory).
% 1.72/1.93 dependent: assign(max_mem, 12000).
% 1.72/1.93 dependent: assign(pick_given_ratio, 4).
% 1.72/1.93 dependent: assign(stats_level, 1).
% 1.72/1.93 dependent: assign(max_seconds, 10800).
% 1.72/1.93 clear(print_given).
% 1.72/1.93
% 1.72/1.93 formula_list(usable).
% 1.72/1.93 all X (-distinct_points(X,X)).
% 1.72/1.93 all X (-distinct_lines(X,X)).
% 1.72/1.93 all X (-convergent_lines(X,X)).
% 1.72/1.93 all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 1.72/1.93 all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 1.72/1.93 all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 1.72/1.93 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))).
% 1.72/1.93 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)))).
% 1.72/1.93 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)).
% 1.72/1.93 all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 1.72/1.93 all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 1.72/1.93 all X Y (convergent_lines(X,Y)->distinct_lines(X,Y)).
% 1.72/1.93 -(all X Y Z (distinct_points(X,Y)-> (apart_point_and_line(Z,line_connecting(X,Y))->apart_point_and_line(X,line_connecting(Z,Y))))).
% 1.72/1.93 end_of_list.
% 1.72/1.93
% 1.72/1.93 -------> usable clausifies to:
% 1.72/1.93
% 1.72/1.93 list(usable).
% 1.72/1.93 0 [] -distinct_points(X,X).
% 1.72/1.93 0 [] -distinct_lines(X,X).
% 1.72/1.93 0 [] -convergent_lines(X,X).
% 1.72/1.93 0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 1.72/1.93 0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 1.72/1.93 0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 1.72/1.93 0 [] -distinct_points(X,Y)| -apart_point_and_line(Z,line_connecting(X,Y))|distinct_points(Z,X).
% 1.72/1.93 0 [] -distinct_points(X,Y)| -apart_point_and_line(Z,line_connecting(X,Y))|distinct_points(Z,Y).
% 1.72/1.93 0 [] -convergent_lines(X,Y)| -apart_point_and_line(Z,X)|distinct_points(Z,intersection_point(X,Y)).
% 1.72/1.93 0 [] -convergent_lines(X,Y)| -apart_point_and_line(Z,Y)|distinct_points(Z,intersection_point(X,Y)).
% 1.72/1.93 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).
% 1.72/1.93 0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 1.72/1.93 0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 1.72/1.93 0 [] -convergent_lines(X,Y)|distinct_lines(X,Y).
% 1.72/1.93 0 [] distinct_points($c3,$c2).
% 1.72/1.93 0 [] apart_point_and_line($c1,line_connecting($c3,$c2)).
% 1.72/1.93 0 [] -apart_point_and_line($c3,line_connecting($c1,$c2)).
% 1.72/1.93 end_of_list.
% 1.72/1.93
% 1.72/1.93 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.72/1.93
% 1.72/1.93 This is a non-Horn set without equality. The strategy will
% 1.72/1.93 be ordered hyper_res, unit deletion, and factoring, with
% 1.72/1.93 satellites in sos and with nuclei in usable.
% 1.72/1.93
% 1.72/1.93 dependent: set(hyper_res).
% 1.72/1.93 dependent: set(factor).
% 1.72/1.93 dependent: set(unit_deletion).
% 1.72/1.93
% 1.72/1.93 ------------> process usable:
% 1.72/1.93 ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 1.72/1.93 ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 1.72/1.93 ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 1.72/1.93 ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.72/1.93 ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 1.72/1.93 ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 1.72/1.93 ** KEPT (pick-wt=11): 7 [] -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,A).
% 1.72/1.93 ** KEPT (pick-wt=11): 8 [] -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,B).
% 1.72/1.93 ** KEPT (pick-wt=11): 9 [] -convergent_lines(A,B)| -apart_point_and_line(C,A)|distinct_points(C,intersection_point(A,B)).
% 24.84/25.09 ** KEPT (pick-wt=11): 10 [] -convergent_lines(A,B)| -apart_point_and_line(C,B)|distinct_points(C,intersection_point(A,B)).
% 24.84/25.09 ** 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).
% 24.84/25.09 ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 24.84/25.09 ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 24.84/25.09 ** KEPT (pick-wt=6): 14 [] -convergent_lines(A,B)|distinct_lines(A,B).
% 24.84/25.09 ** KEPT (pick-wt=5): 15 [] -apart_point_and_line($c3,line_connecting($c1,$c2)).
% 24.84/25.09
% 24.84/25.09 ------------> process sos:
% 24.84/25.09 ** KEPT (pick-wt=3): 16 [] distinct_points($c3,$c2).
% 24.84/25.09 ** KEPT (pick-wt=5): 17 [] apart_point_and_line($c1,line_connecting($c3,$c2)).
% 24.84/25.09
% 24.84/25.09 ======= end of input processing =======
% 24.84/25.09
% 24.84/25.09 =========== start of search ===========
% 24.84/25.09
% 24.84/25.09 -- HEY sandbox2, WE HAVE A PROOF!! --
% 24.84/25.09
% 24.84/25.09 ----> UNIT CONFLICT at 23.15 sec ----> 2565 [binary,2564.1,1.1] $F.
% 24.84/25.09
% 24.84/25.09 Length of proof is 21. Level of proof is 9.
% 24.84/25.09
% 24.84/25.09 ---------------- PROOF ----------------
% 24.84/25.09 % SZS status Theorem
% 24.84/25.09 % SZS output start Refutation
% See solution above
% 24.84/25.09 ------------ end of proof -------------
% 24.84/25.09
% 24.84/25.09
% 24.84/25.09 Search stopped by max_proofs option.
% 24.84/25.09
% 24.84/25.09
% 24.84/25.09 Search stopped by max_proofs option.
% 24.84/25.09
% 24.84/25.09 ============ end of search ============
% 24.84/25.09
% 24.84/25.09 -------------- statistics -------------
% 24.84/25.09 clauses given 100
% 24.84/25.09 clauses generated 36488
% 24.84/25.09 clauses kept 2564
% 24.84/25.09 clauses forward subsumed 33941
% 24.84/25.09 clauses back subsumed 1368
% 24.84/25.09 Kbytes malloced 2929
% 24.84/25.09
% 24.84/25.09 ----------- times (seconds) -----------
% 24.84/25.09 user CPU time 23.15 (0 hr, 0 min, 23 sec)
% 24.84/25.09 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 24.84/25.09 wall-clock time 25 (0 hr, 0 min, 25 sec)
% 24.84/25.09
% 24.84/25.09 That finishes the proof of the theorem.
% 24.84/25.09
% 24.84/25.09 Process 11381 finished Wed Jul 27 07:16:33 2022
% 24.84/25.09 Otter interrupted
% 24.84/25.09 PROOF FOUND
%------------------------------------------------------------------------------