TSTP Solution File: GEO196+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO196+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n020.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 12:54:45 EDT 2022
% Result : Theorem 20.15s 20.36s
% Output : Refutation 20.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 36 ( 13 unt; 20 nHn; 21 RR)
% Number of literals : 77 ( 0 equ; 12 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 41 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ distinct_points(A,A),
file('GEO196+2.p',unknown),
[] ).
cnf(3,axiom,
~ convergent_lines(A,A),
file('GEO196+2.p',unknown),
[] ).
cnf(6,axiom,
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
file('GEO196+2.p',unknown),
[] ).
cnf(9,axiom,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(C,A)
| distinct_points(C,intersection_point(A,B)) ),
file('GEO196+2.p',unknown),
[] ).
cnf(10,axiom,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(C,B)
| distinct_points(C,intersection_point(A,B)) ),
file('GEO196+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('GEO196+2.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(A,B)
| distinct_lines(A,B) ),
file('GEO196+2.p',unknown),
[] ).
cnf(15,axiom,
~ apart_point_and_line(intersection_point(dollar_c4,dollar_c3),dollar_c2),
file('GEO196+2.p',unknown),
[] ).
cnf(16,axiom,
~ apart_point_and_line(intersection_point(dollar_c4,dollar_c3),dollar_c1),
file('GEO196+2.p',unknown),
[] ).
cnf(17,axiom,
convergent_lines(dollar_c4,dollar_c3),
file('GEO196+2.p',unknown),
[] ).
cnf(18,axiom,
convergent_lines(dollar_c2,dollar_c1),
file('GEO196+2.p',unknown),
[] ).
cnf(19,axiom,
( apart_point_and_line(intersection_point(dollar_c2,dollar_c1),dollar_c4)
| apart_point_and_line(intersection_point(dollar_c2,dollar_c1),dollar_c3) ),
file('GEO196+2.p',unknown),
[] ).
cnf(21,plain,
( convergent_lines(dollar_c4,A)
| convergent_lines(dollar_c3,A) ),
inference(hyper,[status(thm)],[17,6]),
[iquote('hyper,17,6')] ).
cnf(23,plain,
( convergent_lines(dollar_c2,A)
| convergent_lines(dollar_c1,A) ),
inference(hyper,[status(thm)],[18,6]),
[iquote('hyper,18,6')] ).
cnf(27,plain,
( convergent_lines(dollar_c3,A)
| convergent_lines(dollar_c4,B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[21,6]),
[iquote('hyper,21,6')] ).
cnf(35,plain,
( apart_point_and_line(intersection_point(dollar_c2,dollar_c1),dollar_c3)
| distinct_points(intersection_point(dollar_c2,dollar_c1),intersection_point(dollar_c4,dollar_c3)) ),
inference(hyper,[status(thm)],[19,9,17]),
[iquote('hyper,19,9,17')] ).
cnf(46,plain,
( convergent_lines(dollar_c1,A)
| convergent_lines(dollar_c2,B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[23,6]),
[iquote('hyper,23,6')] ).
cnf(47,plain,
convergent_lines(dollar_c1,dollar_c2),
inference(hyper,[status(thm)],[23,3]),
[iquote('hyper,23,3')] ).
cnf(52,plain,
distinct_lines(dollar_c1,dollar_c2),
inference(hyper,[status(thm)],[47,14]),
[iquote('hyper,47,14')] ).
cnf(69,plain,
( convergent_lines(dollar_c3,A)
| convergent_lines(dollar_c4,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
inference(hyper,[status(thm)],[27,6]),
[iquote('hyper,27,6')] ).
cnf(70,plain,
( convergent_lines(dollar_c4,A)
| convergent_lines(A,dollar_c3) ),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[69]),3]),
[iquote('factor,69.1.3,unit_del,3')] ).
cnf(99,plain,
( convergent_lines(dollar_c1,A)
| convergent_lines(A,dollar_c2) ),
inference(hyper,[status(thm)],[46,3]),
[iquote('hyper,46,3')] ).
cnf(105,plain,
( convergent_lines(dollar_c1,A)
| convergent_lines(dollar_c2,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
inference(hyper,[status(thm)],[46,6]),
[iquote('hyper,46,6')] ).
cnf(106,plain,
( convergent_lines(dollar_c2,A)
| convergent_lines(A,dollar_c1) ),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[105]),3]),
[iquote('factor,105.1.3,unit_del,3')] ).
cnf(110,plain,
( convergent_lines(A,dollar_c2)
| convergent_lines(dollar_c1,B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[99,6]),
[iquote('hyper,99,6')] ).
cnf(269,plain,
( apart_point_and_line(intersection_point(dollar_c2,dollar_c1),dollar_c3)
| apart_point_and_line(intersection_point(dollar_c2,dollar_c1),dollar_c1)
| apart_point_and_line(intersection_point(dollar_c2,dollar_c1),dollar_c2) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[35,11,52]),16,15]),
[iquote('hyper,35,11,52,unit_del,16,15')] ).
cnf(662,plain,
( convergent_lines(A,dollar_c2)
| convergent_lines(A,B)
| convergent_lines(dollar_c1,C)
| convergent_lines(B,C) ),
inference(hyper,[status(thm)],[110,6]),
[iquote('hyper,110,6')] ).
cnf(663,plain,
( convergent_lines(A,dollar_c2)
| convergent_lines(A,dollar_c1) ),
inference(hyper,[status(thm)],[110,3]),
[iquote('hyper,110,3')] ).
cnf(4563,plain,
( convergent_lines(A,dollar_c2)
| convergent_lines(A,B)
| convergent_lines(B,dollar_c1) ),
inference(hyper,[status(thm)],[662,3]),
[iquote('hyper,662,3')] ).
cnf(4829,plain,
( apart_point_and_line(intersection_point(dollar_c2,dollar_c1),dollar_c3)
| apart_point_and_line(intersection_point(dollar_c2,dollar_c1),dollar_c2) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[269,10,106]),1,3]),
[iquote('hyper,269,10,106,unit_del,1,3')] ).
cnf(4863,plain,
apart_point_and_line(intersection_point(dollar_c2,dollar_c1),dollar_c3),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4829,9,663]),1,3]),
[iquote('hyper,4829,9,663,unit_del,1,3')] ).
cnf(4889,plain,
distinct_points(intersection_point(dollar_c2,dollar_c1),intersection_point(dollar_c4,dollar_c3)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4863,10,70]),3]),
[iquote('hyper,4863,10,70,unit_del,3')] ).
cnf(4927,plain,
( apart_point_and_line(intersection_point(dollar_c2,dollar_c1),dollar_c1)
| apart_point_and_line(intersection_point(dollar_c2,dollar_c1),dollar_c2) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4889,11,52]),16,15]),
[iquote('hyper,4889,11,52,unit_del,16,15')] ).
cnf(4953,plain,
apart_point_and_line(intersection_point(dollar_c2,dollar_c1),dollar_c2),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4927,10,106]),1,3]),
[iquote('hyper,4927,10,106,unit_del,1,3')] ).
cnf(4996,plain,
convergent_lines(A,dollar_c2),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4953,9,4563]),1])]),
[iquote('hyper,4953,9,4563,unit_del,1,factor_simp')] ).
cnf(4997,plain,
$false,
inference(binary,[status(thm)],[4996,3]),
[iquote('binary,4996.1,3.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : GEO196+2 : TPTP v8.1.0. Released v3.3.0.
% 0.09/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n020.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 07:10:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.94/2.10 ----- Otter 3.3f, August 2004 -----
% 1.94/2.10 The process was started by sandbox on n020.cluster.edu,
% 1.94/2.10 Wed Jul 27 07:10:08 2022
% 1.94/2.10 The command was "./otter". The process ID is 23503.
% 1.94/2.10
% 1.94/2.10 set(prolog_style_variables).
% 1.94/2.10 set(auto).
% 1.94/2.10 dependent: set(auto1).
% 1.94/2.10 dependent: set(process_input).
% 1.94/2.10 dependent: clear(print_kept).
% 1.94/2.10 dependent: clear(print_new_demod).
% 1.94/2.10 dependent: clear(print_back_demod).
% 1.94/2.10 dependent: clear(print_back_sub).
% 1.94/2.10 dependent: set(control_memory).
% 1.94/2.10 dependent: assign(max_mem, 12000).
% 1.94/2.10 dependent: assign(pick_given_ratio, 4).
% 1.94/2.10 dependent: assign(stats_level, 1).
% 1.94/2.10 dependent: assign(max_seconds, 10800).
% 1.94/2.10 clear(print_given).
% 1.94/2.10
% 1.94/2.10 formula_list(usable).
% 1.94/2.10 all X (-distinct_points(X,X)).
% 1.94/2.10 all X (-distinct_lines(X,X)).
% 1.94/2.10 all X (-convergent_lines(X,X)).
% 1.94/2.10 all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 1.94/2.10 all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 1.94/2.10 all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 1.94/2.10 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))).
% 1.94/2.10 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)))).
% 1.94/2.10 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)).
% 1.94/2.10 all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 1.94/2.10 all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 1.94/2.10 all X Y (convergent_lines(X,Y)->distinct_lines(X,Y)).
% 1.94/2.10 -(all X Y U V (convergent_lines(X,Y)&convergent_lines(U,V)& -apart_point_and_line(intersection_point(X,Y),U)& -apart_point_and_line(intersection_point(X,Y),V)-> -apart_point_and_line(intersection_point(U,V),X)& -apart_point_and_line(intersection_point(U,V),Y))).
% 1.94/2.10 end_of_list.
% 1.94/2.10
% 1.94/2.10 -------> usable clausifies to:
% 1.94/2.10
% 1.94/2.10 list(usable).
% 1.94/2.10 0 [] -distinct_points(X,X).
% 1.94/2.10 0 [] -distinct_lines(X,X).
% 1.94/2.10 0 [] -convergent_lines(X,X).
% 1.94/2.10 0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 1.94/2.10 0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 1.94/2.10 0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 1.94/2.10 0 [] -distinct_points(X,Y)| -apart_point_and_line(Z,line_connecting(X,Y))|distinct_points(Z,X).
% 1.94/2.10 0 [] -distinct_points(X,Y)| -apart_point_and_line(Z,line_connecting(X,Y))|distinct_points(Z,Y).
% 1.94/2.10 0 [] -convergent_lines(X,Y)| -apart_point_and_line(Z,X)|distinct_points(Z,intersection_point(X,Y)).
% 1.94/2.10 0 [] -convergent_lines(X,Y)| -apart_point_and_line(Z,Y)|distinct_points(Z,intersection_point(X,Y)).
% 1.94/2.10 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).
% 1.94/2.10 0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 1.94/2.10 0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 1.94/2.10 0 [] -convergent_lines(X,Y)|distinct_lines(X,Y).
% 1.94/2.10 0 [] convergent_lines($c4,$c3).
% 1.94/2.10 0 [] convergent_lines($c2,$c1).
% 1.94/2.10 0 [] -apart_point_and_line(intersection_point($c4,$c3),$c2).
% 1.94/2.10 0 [] -apart_point_and_line(intersection_point($c4,$c3),$c1).
% 1.94/2.10 0 [] apart_point_and_line(intersection_point($c2,$c1),$c4)|apart_point_and_line(intersection_point($c2,$c1),$c3).
% 1.94/2.10 end_of_list.
% 1.94/2.10
% 1.94/2.10 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.94/2.10
% 1.94/2.10 This is a non-Horn set without equality. The strategy will
% 1.94/2.10 be ordered hyper_res, unit deletion, and factoring, with
% 1.94/2.10 satellites in sos and with nuclei in usable.
% 1.94/2.10
% 1.94/2.10 dependent: set(hyper_res).
% 1.94/2.10 dependent: set(factor).
% 1.94/2.10 dependent: set(unit_deletion).
% 1.94/2.10
% 1.94/2.10 ------------> process usable:
% 1.94/2.10 ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 1.94/2.10 ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 1.94/2.10 ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 1.94/2.10 ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.94/2.10 ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 1.94/2.10 ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 1.94/2.10 ** KEPT (pick-wt=11): 7 [] -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,A).
% 20.15/20.36 ** KEPT (pick-wt=11): 8 [] -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,B).
% 20.15/20.36 ** KEPT (pick-wt=11): 9 [] -convergent_lines(A,B)| -apart_point_and_line(C,A)|distinct_points(C,intersection_point(A,B)).
% 20.15/20.36 ** KEPT (pick-wt=11): 10 [] -convergent_lines(A,B)| -apart_point_and_line(C,B)|distinct_points(C,intersection_point(A,B)).
% 20.15/20.36 ** 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).
% 20.15/20.36 ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 20.15/20.36 ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 20.15/20.36 ** KEPT (pick-wt=6): 14 [] -convergent_lines(A,B)|distinct_lines(A,B).
% 20.15/20.36 ** KEPT (pick-wt=5): 15 [] -apart_point_and_line(intersection_point($c4,$c3),$c2).
% 20.15/20.36 ** KEPT (pick-wt=5): 16 [] -apart_point_and_line(intersection_point($c4,$c3),$c1).
% 20.15/20.36
% 20.15/20.36 ------------> process sos:
% 20.15/20.36 ** KEPT (pick-wt=3): 17 [] convergent_lines($c4,$c3).
% 20.15/20.36 ** KEPT (pick-wt=3): 18 [] convergent_lines($c2,$c1).
% 20.15/20.36 ** KEPT (pick-wt=10): 19 [] apart_point_and_line(intersection_point($c2,$c1),$c4)|apart_point_and_line(intersection_point($c2,$c1),$c3).
% 20.15/20.36
% 20.15/20.36 ======= end of input processing =======
% 20.15/20.36
% 20.15/20.36 =========== start of search ===========
% 20.15/20.36
% 20.15/20.36
% 20.15/20.36 Resetting weight limit to 18.
% 20.15/20.36
% 20.15/20.36
% 20.15/20.36 Resetting weight limit to 18.
% 20.15/20.36
% 20.15/20.36 sos_size=4212
% 20.15/20.36
% 20.15/20.36
% 20.15/20.36 Resetting weight limit to 15.
% 20.15/20.36
% 20.15/20.36
% 20.15/20.36 Resetting weight limit to 15.
% 20.15/20.36
% 20.15/20.36 sos_size=4229
% 20.15/20.36
% 20.15/20.36 -- HEY sandbox, WE HAVE A PROOF!! --
% 20.15/20.36
% 20.15/20.36 ----> UNIT CONFLICT at 18.27 sec ----> 4997 [binary,4996.1,3.1] $F.
% 20.15/20.36
% 20.15/20.36 Length of proof is 23. Level of proof is 10.
% 20.15/20.36
% 20.15/20.36 ---------------- PROOF ----------------
% 20.15/20.36 % SZS status Theorem
% 20.15/20.36 % SZS output start Refutation
% See solution above
% 20.15/20.36 ------------ end of proof -------------
% 20.15/20.36
% 20.15/20.36
% 20.15/20.36 Search stopped by max_proofs option.
% 20.15/20.36
% 20.15/20.36
% 20.15/20.36 Search stopped by max_proofs option.
% 20.15/20.36
% 20.15/20.36 ============ end of search ============
% 20.15/20.36
% 20.15/20.36 -------------- statistics -------------
% 20.15/20.36 clauses given 449
% 20.15/20.36 clauses generated 58271
% 20.15/20.36 clauses kept 4996
% 20.15/20.36 clauses forward subsumed 21324
% 20.15/20.36 clauses back subsumed 3255
% 20.15/20.36 Kbytes malloced 4882
% 20.15/20.36
% 20.15/20.36 ----------- times (seconds) -----------
% 20.15/20.36 user CPU time 18.27 (0 hr, 0 min, 18 sec)
% 20.15/20.36 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 20.15/20.36 wall-clock time 20 (0 hr, 0 min, 20 sec)
% 20.15/20.36
% 20.15/20.36 That finishes the proof of the theorem.
% 20.15/20.36
% 20.15/20.36 Process 23503 finished Wed Jul 27 07:10:28 2022
% 20.15/20.36 Otter interrupted
% 20.15/20.36 PROOF FOUND
%------------------------------------------------------------------------------