TSTP Solution File: GEO191+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO191+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n005.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 12:54:43 EDT 2022
% Result : Theorem 19.07s 19.26s
% Output : Refutation 19.07s
% 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('GEO191+2.p',unknown),
[] ).
cnf(3,axiom,
~ convergent_lines(A,A),
file('GEO191+2.p',unknown),
[] ).
cnf(6,axiom,
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
file('GEO191+2.p',unknown),
[] ).
cnf(9,axiom,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(C,A)
| distinct_points(C,intersection_point(A,B)) ),
file('GEO191+2.p',unknown),
[] ).
cnf(10,axiom,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(C,B)
| distinct_points(C,intersection_point(A,B)) ),
file('GEO191+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('GEO191+2.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(A,B)
| distinct_lines(A,B) ),
file('GEO191+2.p',unknown),
[] ).
cnf(15,axiom,
~ apart_point_and_line(intersection_point(dollar_c2,dollar_c1),dollar_c4),
file('GEO191+2.p',unknown),
[] ).
cnf(16,axiom,
~ apart_point_and_line(intersection_point(dollar_c2,dollar_c1),dollar_c3),
file('GEO191+2.p',unknown),
[] ).
cnf(17,axiom,
convergent_lines(dollar_c4,dollar_c3),
file('GEO191+2.p',unknown),
[] ).
cnf(18,axiom,
convergent_lines(dollar_c2,dollar_c1),
file('GEO191+2.p',unknown),
[] ).
cnf(19,axiom,
( apart_point_and_line(intersection_point(dollar_c4,dollar_c3),dollar_c2)
| apart_point_and_line(intersection_point(dollar_c4,dollar_c3),dollar_c1) ),
file('GEO191+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(28,plain,
convergent_lines(dollar_c3,dollar_c4),
inference(hyper,[status(thm)],[21,3]),
[iquote('hyper,21,3')] ).
cnf(35,plain,
( apart_point_and_line(intersection_point(dollar_c4,dollar_c3),dollar_c1)
| distinct_points(intersection_point(dollar_c4,dollar_c3),intersection_point(dollar_c2,dollar_c1)) ),
inference(hyper,[status(thm)],[19,9,18]),
[iquote('hyper,19,9,18')] ).
cnf(42,plain,
distinct_lines(dollar_c3,dollar_c4),
inference(hyper,[status(thm)],[28,14]),
[iquote('hyper,28,14')] ).
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(68,plain,
( convergent_lines(dollar_c3,A)
| convergent_lines(A,dollar_c4) ),
inference(hyper,[status(thm)],[27,3]),
[iquote('hyper,27,3')] ).
cnf(74,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(75,plain,
( convergent_lines(dollar_c4,A)
| convergent_lines(A,dollar_c3) ),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[74]),3]),
[iquote('factor,74.1.3,unit_del,3')] ).
cnf(81,plain,
( convergent_lines(A,dollar_c4)
| convergent_lines(dollar_c3,B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[68,6]),
[iquote('hyper,68,6')] ).
cnf(117,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(118,plain,
( convergent_lines(dollar_c2,A)
| convergent_lines(A,dollar_c1) ),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[117]),3]),
[iquote('factor,117.1.3,unit_del,3')] ).
cnf(252,plain,
( apart_point_and_line(intersection_point(dollar_c4,dollar_c3),dollar_c1)
| apart_point_and_line(intersection_point(dollar_c4,dollar_c3),dollar_c3)
| apart_point_and_line(intersection_point(dollar_c4,dollar_c3),dollar_c4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[35,11,42]),16,15]),
[iquote('hyper,35,11,42,unit_del,16,15')] ).
cnf(359,plain,
( convergent_lines(A,dollar_c4)
| convergent_lines(A,B)
| convergent_lines(dollar_c3,C)
| convergent_lines(B,C) ),
inference(hyper,[status(thm)],[81,6]),
[iquote('hyper,81,6')] ).
cnf(360,plain,
( convergent_lines(A,dollar_c4)
| convergent_lines(A,dollar_c3) ),
inference(hyper,[status(thm)],[81,3]),
[iquote('hyper,81,3')] ).
cnf(4477,plain,
( convergent_lines(A,dollar_c4)
| convergent_lines(A,B)
| convergent_lines(B,dollar_c3) ),
inference(hyper,[status(thm)],[359,3]),
[iquote('hyper,359,3')] ).
cnf(4805,plain,
( apart_point_and_line(intersection_point(dollar_c4,dollar_c3),dollar_c1)
| apart_point_and_line(intersection_point(dollar_c4,dollar_c3),dollar_c4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[252,10,75]),1,3]),
[iquote('hyper,252,10,75,unit_del,1,3')] ).
cnf(4840,plain,
apart_point_and_line(intersection_point(dollar_c4,dollar_c3),dollar_c1),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4805,9,360]),1,3]),
[iquote('hyper,4805,9,360,unit_del,1,3')] ).
cnf(4859,plain,
distinct_points(intersection_point(dollar_c4,dollar_c3),intersection_point(dollar_c2,dollar_c1)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4840,10,118]),3]),
[iquote('hyper,4840,10,118,unit_del,3')] ).
cnf(4904,plain,
( apart_point_and_line(intersection_point(dollar_c4,dollar_c3),dollar_c3)
| apart_point_and_line(intersection_point(dollar_c4,dollar_c3),dollar_c4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4859,11,42]),16,15]),
[iquote('hyper,4859,11,42,unit_del,16,15')] ).
cnf(4931,plain,
apart_point_and_line(intersection_point(dollar_c4,dollar_c3),dollar_c4),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4904,10,75]),1,3]),
[iquote('hyper,4904,10,75,unit_del,1,3')] ).
cnf(4979,plain,
convergent_lines(A,dollar_c4),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4931,9,4477]),1])]),
[iquote('hyper,4931,9,4477,unit_del,1,factor_simp')] ).
cnf(4980,plain,
$false,
inference(binary,[status(thm)],[4979,3]),
[iquote('binary,4979.1,3.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO191+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Jul 27 07:06:35 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.77/1.94 ----- Otter 3.3f, August 2004 -----
% 1.77/1.94 The process was started by sandbox on n005.cluster.edu,
% 1.77/1.94 Wed Jul 27 07:06:35 2022
% 1.77/1.94 The command was "./otter". The process ID is 19070.
% 1.77/1.94
% 1.77/1.94 set(prolog_style_variables).
% 1.77/1.94 set(auto).
% 1.77/1.94 dependent: set(auto1).
% 1.77/1.94 dependent: set(process_input).
% 1.77/1.94 dependent: clear(print_kept).
% 1.77/1.94 dependent: clear(print_new_demod).
% 1.77/1.94 dependent: clear(print_back_demod).
% 1.77/1.94 dependent: clear(print_back_sub).
% 1.77/1.94 dependent: set(control_memory).
% 1.77/1.94 dependent: assign(max_mem, 12000).
% 1.77/1.94 dependent: assign(pick_given_ratio, 4).
% 1.77/1.94 dependent: assign(stats_level, 1).
% 1.77/1.94 dependent: assign(max_seconds, 10800).
% 1.77/1.94 clear(print_given).
% 1.77/1.94
% 1.77/1.94 formula_list(usable).
% 1.77/1.94 all X (-distinct_points(X,X)).
% 1.77/1.94 all X (-distinct_lines(X,X)).
% 1.77/1.94 all X (-convergent_lines(X,X)).
% 1.77/1.94 all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 1.77/1.94 all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 1.77/1.94 all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 1.77/1.94 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))).
% 1.77/1.94 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)))).
% 1.77/1.94 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)).
% 1.77/1.94 all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 1.77/1.94 all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 1.77/1.94 all X Y (convergent_lines(X,Y)->distinct_lines(X,Y)).
% 1.77/1.94 -(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))).
% 1.77/1.94 end_of_list.
% 1.77/1.94
% 1.77/1.94 -------> usable clausifies to:
% 1.77/1.94
% 1.77/1.94 list(usable).
% 1.77/1.94 0 [] -distinct_points(X,X).
% 1.77/1.94 0 [] -distinct_lines(X,X).
% 1.77/1.94 0 [] -convergent_lines(X,X).
% 1.77/1.94 0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 1.77/1.94 0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 1.77/1.94 0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 1.77/1.94 0 [] -distinct_points(X,Y)| -apart_point_and_line(Z,line_connecting(X,Y))|distinct_points(Z,X).
% 1.77/1.94 0 [] -distinct_points(X,Y)| -apart_point_and_line(Z,line_connecting(X,Y))|distinct_points(Z,Y).
% 1.77/1.94 0 [] -convergent_lines(X,Y)| -apart_point_and_line(Z,X)|distinct_points(Z,intersection_point(X,Y)).
% 1.77/1.94 0 [] -convergent_lines(X,Y)| -apart_point_and_line(Z,Y)|distinct_points(Z,intersection_point(X,Y)).
% 1.77/1.94 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).
% 1.77/1.94 0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 1.77/1.94 0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 1.77/1.94 0 [] -convergent_lines(X,Y)|distinct_lines(X,Y).
% 1.77/1.94 0 [] convergent_lines($c4,$c3).
% 1.77/1.94 0 [] convergent_lines($c2,$c1).
% 1.77/1.94 0 [] apart_point_and_line(intersection_point($c4,$c3),$c2)|apart_point_and_line(intersection_point($c4,$c3),$c1).
% 1.77/1.94 0 [] -apart_point_and_line(intersection_point($c2,$c1),$c4).
% 1.77/1.94 0 [] -apart_point_and_line(intersection_point($c2,$c1),$c3).
% 1.77/1.94 end_of_list.
% 1.77/1.94
% 1.77/1.94 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.77/1.94
% 1.77/1.94 This is a non-Horn set without equality. The strategy will
% 1.77/1.94 be ordered hyper_res, unit deletion, and factoring, with
% 1.77/1.94 satellites in sos and with nuclei in usable.
% 1.77/1.94
% 1.77/1.94 dependent: set(hyper_res).
% 1.77/1.94 dependent: set(factor).
% 1.77/1.94 dependent: set(unit_deletion).
% 1.77/1.94
% 1.77/1.94 ------------> process usable:
% 1.77/1.94 ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 1.77/1.94 ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 1.77/1.94 ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 1.77/1.94 ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.77/1.94 ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 1.77/1.94 ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 1.77/1.94 ** KEPT (pick-wt=11): 7 [] -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,A).
% 19.07/19.26 ** KEPT (pick-wt=11): 8 [] -distinct_points(A,B)| -apart_point_and_line(C,line_connecting(A,B))|distinct_points(C,B).
% 19.07/19.26 ** KEPT (pick-wt=11): 9 [] -convergent_lines(A,B)| -apart_point_and_line(C,A)|distinct_points(C,intersection_point(A,B)).
% 19.07/19.26 ** KEPT (pick-wt=11): 10 [] -convergent_lines(A,B)| -apart_point_and_line(C,B)|distinct_points(C,intersection_point(A,B)).
% 19.07/19.26 ** 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).
% 19.07/19.26 ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 19.07/19.26 ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 19.07/19.26 ** KEPT (pick-wt=6): 14 [] -convergent_lines(A,B)|distinct_lines(A,B).
% 19.07/19.26 ** KEPT (pick-wt=5): 15 [] -apart_point_and_line(intersection_point($c2,$c1),$c4).
% 19.07/19.26 ** KEPT (pick-wt=5): 16 [] -apart_point_and_line(intersection_point($c2,$c1),$c3).
% 19.07/19.26
% 19.07/19.26 ------------> process sos:
% 19.07/19.26 ** KEPT (pick-wt=3): 17 [] convergent_lines($c4,$c3).
% 19.07/19.26 ** KEPT (pick-wt=3): 18 [] convergent_lines($c2,$c1).
% 19.07/19.26 ** KEPT (pick-wt=10): 19 [] apart_point_and_line(intersection_point($c4,$c3),$c2)|apart_point_and_line(intersection_point($c4,$c3),$c1).
% 19.07/19.26
% 19.07/19.26 ======= end of input processing =======
% 19.07/19.26
% 19.07/19.26 =========== start of search ===========
% 19.07/19.26
% 19.07/19.26
% 19.07/19.26 Resetting weight limit to 18.
% 19.07/19.26
% 19.07/19.26
% 19.07/19.26 Resetting weight limit to 18.
% 19.07/19.26
% 19.07/19.26 sos_size=4138
% 19.07/19.26
% 19.07/19.26
% 19.07/19.26 Resetting weight limit to 15.
% 19.07/19.26
% 19.07/19.26
% 19.07/19.26 Resetting weight limit to 15.
% 19.07/19.26
% 19.07/19.26 sos_size=4050
% 19.07/19.26
% 19.07/19.26 -- HEY sandbox, WE HAVE A PROOF!! --
% 19.07/19.26
% 19.07/19.26 ----> UNIT CONFLICT at 17.31 sec ----> 4980 [binary,4979.1,3.1] $F.
% 19.07/19.26
% 19.07/19.26 Length of proof is 23. Level of proof is 10.
% 19.07/19.26
% 19.07/19.26 ---------------- PROOF ----------------
% 19.07/19.26 % SZS status Theorem
% 19.07/19.26 % SZS output start Refutation
% See solution above
% 19.07/19.26 ------------ end of proof -------------
% 19.07/19.26
% 19.07/19.26
% 19.07/19.26 Search stopped by max_proofs option.
% 19.07/19.26
% 19.07/19.26
% 19.07/19.26 Search stopped by max_proofs option.
% 19.07/19.26
% 19.07/19.26 ============ end of search ============
% 19.07/19.26
% 19.07/19.26 -------------- statistics -------------
% 19.07/19.26 clauses given 448
% 19.07/19.26 clauses generated 57778
% 19.07/19.26 clauses kept 4979
% 19.07/19.26 clauses forward subsumed 20999
% 19.07/19.26 clauses back subsumed 3260
% 19.07/19.26 Kbytes malloced 4882
% 19.07/19.26
% 19.07/19.26 ----------- times (seconds) -----------
% 19.07/19.26 user CPU time 17.31 (0 hr, 0 min, 17 sec)
% 19.07/19.26 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 19.07/19.26 wall-clock time 19 (0 hr, 0 min, 19 sec)
% 19.07/19.26
% 19.07/19.26 That finishes the proof of the theorem.
% 19.07/19.26
% 19.07/19.26 Process 19070 finished Wed Jul 27 07:06:54 2022
% 19.07/19.26 Otter interrupted
% 19.07/19.26 PROOF FOUND
%------------------------------------------------------------------------------