TSTP Solution File: GEO201+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO201+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n009.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 12:54:47 EDT 2022
% Result : Theorem 91.98s 92.16s
% Output : Refutation 91.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of clauses : 29 ( 7 unt; 20 nHn; 12 RR)
% Number of literals : 76 ( 0 equ; 9 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 46 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ convergent_lines(A,A),
file('GEO201+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
file('GEO201+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(intersection_point(A,B),A) ),
file('GEO201+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(intersection_point(A,B),B) ),
file('GEO201+1.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('GEO201+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(A,B)
| distinct_lines(B,C)
| convergent_lines(A,C) ),
file('GEO201+1.p',unknown),
[] ).
cnf(15,axiom,
convergent_lines(dollar_c2,dollar_c1),
file('GEO201+1.p',unknown),
[] ).
cnf(16,axiom,
distinct_points(intersection_point(dollar_c2,dollar_c1),intersection_point(dollar_c1,dollar_c2)),
file('GEO201+1.p',unknown),
[] ).
cnf(18,plain,
( convergent_lines(dollar_c2,A)
| convergent_lines(dollar_c1,A) ),
inference(hyper,[status(thm)],[15,6]),
[iquote('hyper,15,6')] ).
cnf(21,plain,
( convergent_lines(dollar_c1,A)
| convergent_lines(dollar_c2,B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[18,6]),
[iquote('hyper,18,6')] ).
cnf(41,plain,
( convergent_lines(dollar_c1,A)
| convergent_lines(A,dollar_c2) ),
inference(hyper,[status(thm)],[21,3]),
[iquote('hyper,21,3')] ).
cnf(43,plain,
( convergent_lines(dollar_c1,A)
| convergent_lines(dollar_c2,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
inference(hyper,[status(thm)],[21,6]),
[iquote('hyper,21,6')] ).
cnf(44,plain,
( convergent_lines(dollar_c2,A)
| convergent_lines(A,dollar_c1) ),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[43]),3]),
[iquote('factor,43.1.3,unit_del,3')] ).
cnf(46,plain,
( convergent_lines(A,dollar_c2)
| convergent_lines(dollar_c1,B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[41,6]),
[iquote('hyper,41,6')] ).
cnf(47,plain,
( convergent_lines(dollar_c1,A)
| distinct_lines(dollar_c2,B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[41,14]),
[iquote('hyper,41,14')] ).
cnf(48,plain,
distinct_lines(dollar_c2,dollar_c1),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[47]),3]),
[iquote('factor,47.1.3,unit_del,3')] ).
cnf(49,plain,
( apart_point_and_line(intersection_point(dollar_c2,dollar_c1),dollar_c2)
| apart_point_and_line(intersection_point(dollar_c2,dollar_c1),dollar_c1)
| apart_point_and_line(intersection_point(dollar_c1,dollar_c2),dollar_c2)
| apart_point_and_line(intersection_point(dollar_c1,dollar_c2),dollar_c1) ),
inference(hyper,[status(thm)],[48,11,16]),
[iquote('hyper,48,11,16')] ).
cnf(52,plain,
( convergent_lines(A,dollar_c1)
| convergent_lines(dollar_c2,B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[44,6]),
[iquote('hyper,44,6')] ).
cnf(74,plain,
( convergent_lines(A,dollar_c2)
| convergent_lines(A,B)
| convergent_lines(dollar_c1,C)
| convergent_lines(B,C) ),
inference(hyper,[status(thm)],[46,6]),
[iquote('hyper,46,6')] ).
cnf(88,plain,
( convergent_lines(A,dollar_c1)
| convergent_lines(A,B)
| convergent_lines(dollar_c2,C)
| convergent_lines(B,C) ),
inference(hyper,[status(thm)],[52,6]),
[iquote('hyper,52,6')] ).
cnf(269,plain,
( convergent_lines(dollar_c1,A)
| convergent_lines(dollar_c2,B)
| convergent_lines(B,C)
| convergent_lines(A,D)
| convergent_lines(C,D) ),
inference(hyper,[status(thm)],[43,6]),
[iquote('hyper,43,6')] ).
cnf(272,plain,
( convergent_lines(dollar_c2,A)
| convergent_lines(A,B)
| convergent_lines(B,dollar_c1) ),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[269]),3]),
[iquote('factor,269.1.4,unit_del,3')] ).
cnf(282,plain,
( apart_point_and_line(intersection_point(dollar_c2,dollar_c1),dollar_c1)
| apart_point_and_line(intersection_point(dollar_c1,dollar_c2),dollar_c2)
| apart_point_and_line(intersection_point(dollar_c1,dollar_c2),dollar_c1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[49,9,272]),3,3]),
[iquote('hyper,49,9,272,unit_del,3,3')] ).
cnf(376,plain,
( convergent_lines(A,dollar_c2)
| convergent_lines(A,B)
| convergent_lines(B,dollar_c1) ),
inference(hyper,[status(thm)],[74,3]),
[iquote('hyper,74,3')] ).
cnf(425,plain,
( convergent_lines(A,dollar_c1)
| convergent_lines(A,B)
| convergent_lines(B,dollar_c2) ),
inference(hyper,[status(thm)],[88,3]),
[iquote('hyper,88,3')] ).
cnf(3899,plain,
( apart_point_and_line(intersection_point(dollar_c1,dollar_c2),dollar_c2)
| apart_point_and_line(intersection_point(dollar_c1,dollar_c2),dollar_c1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[282,10,376]),3,3]),
[iquote('hyper,282,10,376,unit_del,3,3')] ).
cnf(3919,plain,
apart_point_and_line(intersection_point(dollar_c1,dollar_c2),dollar_c1),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[3899,10,425]),3,3]),
[iquote('hyper,3899,10,425,unit_del,3,3')] ).
cnf(3934,plain,
convergent_lines(A,dollar_c1),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3919,9,425])]),
[iquote('hyper,3919,9,425,factor_simp')] ).
cnf(3935,plain,
$false,
inference(binary,[status(thm)],[3934,3]),
[iquote('binary,3934.1,3.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO201+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n009.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 06:53:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.62/1.81 ----- Otter 3.3f, August 2004 -----
% 1.62/1.81 The process was started by sandbox2 on n009.cluster.edu,
% 1.62/1.81 Wed Jul 27 06:53:21 2022
% 1.62/1.81 The command was "./otter". The process ID is 25187.
% 1.62/1.81
% 1.62/1.81 set(prolog_style_variables).
% 1.62/1.81 set(auto).
% 1.62/1.81 dependent: set(auto1).
% 1.62/1.81 dependent: set(process_input).
% 1.62/1.81 dependent: clear(print_kept).
% 1.62/1.81 dependent: clear(print_new_demod).
% 1.62/1.81 dependent: clear(print_back_demod).
% 1.62/1.81 dependent: clear(print_back_sub).
% 1.62/1.81 dependent: set(control_memory).
% 1.62/1.81 dependent: assign(max_mem, 12000).
% 1.62/1.81 dependent: assign(pick_given_ratio, 4).
% 1.62/1.81 dependent: assign(stats_level, 1).
% 1.62/1.81 dependent: assign(max_seconds, 10800).
% 1.62/1.81 clear(print_given).
% 1.62/1.81
% 1.62/1.81 formula_list(usable).
% 1.62/1.81 all X (-distinct_points(X,X)).
% 1.62/1.81 all X (-distinct_lines(X,X)).
% 1.62/1.81 all X (-convergent_lines(X,X)).
% 1.62/1.81 all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 1.62/1.81 all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 1.62/1.81 all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 1.62/1.81 all X Y (distinct_points(X,Y)-> -apart_point_and_line(X,line_connecting(X,Y))).
% 1.62/1.81 all X Y (distinct_points(X,Y)-> -apart_point_and_line(Y,line_connecting(X,Y))).
% 1.62/1.81 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),X)).
% 1.62/1.81 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),Y)).
% 1.62/1.81 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)).
% 1.62/1.81 all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 1.62/1.81 all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 1.62/1.81 all X Y Z (convergent_lines(X,Y)->distinct_lines(Y,Z)|convergent_lines(X,Z)).
% 1.62/1.81 -(all X Y (convergent_lines(X,Y)-> -distinct_points(intersection_point(X,Y),intersection_point(Y,X)))).
% 1.62/1.81 end_of_list.
% 1.62/1.81
% 1.62/1.81 -------> usable clausifies to:
% 1.62/1.81
% 1.62/1.81 list(usable).
% 1.62/1.81 0 [] -distinct_points(X,X).
% 1.62/1.81 0 [] -distinct_lines(X,X).
% 1.62/1.81 0 [] -convergent_lines(X,X).
% 1.62/1.81 0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 1.62/1.81 0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 1.62/1.81 0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 1.62/1.81 0 [] -distinct_points(X,Y)| -apart_point_and_line(X,line_connecting(X,Y)).
% 1.62/1.81 0 [] -distinct_points(X,Y)| -apart_point_and_line(Y,line_connecting(X,Y)).
% 1.62/1.81 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),X).
% 1.62/1.81 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),Y).
% 1.62/1.81 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).
% 1.62/1.81 0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 1.62/1.81 0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 1.62/1.81 0 [] -convergent_lines(X,Y)|distinct_lines(Y,Z)|convergent_lines(X,Z).
% 1.62/1.81 0 [] convergent_lines($c2,$c1).
% 1.62/1.81 0 [] distinct_points(intersection_point($c2,$c1),intersection_point($c1,$c2)).
% 1.62/1.81 end_of_list.
% 1.62/1.81
% 1.62/1.81 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.62/1.81
% 1.62/1.81 This is a non-Horn set without equality. The strategy will
% 1.62/1.81 be ordered hyper_res, unit deletion, and factoring, with
% 1.62/1.81 satellites in sos and with nuclei in usable.
% 1.62/1.81
% 1.62/1.81 dependent: set(hyper_res).
% 1.62/1.81 dependent: set(factor).
% 1.62/1.81 dependent: set(unit_deletion).
% 1.62/1.81
% 1.62/1.81 ------------> process usable:
% 1.62/1.81 ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 1.62/1.81 ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 1.62/1.81 ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 1.62/1.81 ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.62/1.81 ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 1.62/1.81 ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 1.62/1.81 ** KEPT (pick-wt=8): 7 [] -distinct_points(A,B)| -apart_point_and_line(A,line_connecting(A,B)).
% 1.62/1.81 ** KEPT (pick-wt=8): 8 [] -distinct_points(A,B)| -apart_point_and_line(B,line_connecting(A,B)).
% 1.62/1.81 ** KEPT (pick-wt=8): 9 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),A).
% 1.62/1.81 ** KEPT (pick-wt=8): 10 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),B).
% 91.98/92.16 ** 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).
% 91.98/92.16 ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 91.98/92.16 ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 91.98/92.16 ** KEPT (pick-wt=9): 14 [] -convergent_lines(A,B)|distinct_lines(B,C)|convergent_lines(A,C).
% 91.98/92.16
% 91.98/92.16 ------------> process sos:
% 91.98/92.16 ** KEPT (pick-wt=3): 15 [] convergent_lines($c2,$c1).
% 91.98/92.16 ** KEPT (pick-wt=7): 16 [] distinct_points(intersection_point($c2,$c1),intersection_point($c1,$c2)).
% 91.98/92.16
% 91.98/92.16 ======= end of input processing =======
% 91.98/92.16
% 91.98/92.16 =========== start of search ===========
% 91.98/92.16
% 91.98/92.16
% 91.98/92.16 Resetting weight limit to 21.
% 91.98/92.16
% 91.98/92.16
% 91.98/92.16 Resetting weight limit to 21.
% 91.98/92.16
% 91.98/92.16 sos_size=3393
% 91.98/92.16
% 91.98/92.16
% 91.98/92.16 Resetting weight limit to 18.
% 91.98/92.16
% 91.98/92.16
% 91.98/92.16 Resetting weight limit to 18.
% 91.98/92.16
% 91.98/92.16 sos_size=3406
% 91.98/92.16
% 91.98/92.16 -- HEY sandbox2, WE HAVE A PROOF!! --
% 91.98/92.16
% 91.98/92.16 ----> UNIT CONFLICT at 90.34 sec ----> 3935 [binary,3934.1,3.1] $F.
% 91.98/92.16
% 91.98/92.16 Length of proof is 20. Level of proof is 10.
% 91.98/92.16
% 91.98/92.16 ---------------- PROOF ----------------
% 91.98/92.16 % SZS status Theorem
% 91.98/92.16 % SZS output start Refutation
% See solution above
% 91.98/92.16 ------------ end of proof -------------
% 91.98/92.16
% 91.98/92.16
% 91.98/92.16 Search stopped by max_proofs option.
% 91.98/92.16
% 91.98/92.16
% 91.98/92.16 Search stopped by max_proofs option.
% 91.98/92.16
% 91.98/92.16 ============ end of search ============
% 91.98/92.16
% 91.98/92.16 -------------- statistics -------------
% 91.98/92.16 clauses given 243
% 91.98/92.16 clauses generated 68399
% 91.98/92.16 clauses kept 3934
% 91.98/92.16 clauses forward subsumed 57290
% 91.98/92.16 clauses back subsumed 1323
% 91.98/92.16 Kbytes malloced 4882
% 91.98/92.16
% 91.98/92.16 ----------- times (seconds) -----------
% 91.98/92.16 user CPU time 90.34 (0 hr, 1 min, 30 sec)
% 91.98/92.16 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 91.98/92.16 wall-clock time 92 (0 hr, 1 min, 32 sec)
% 91.98/92.16
% 91.98/92.16 That finishes the proof of the theorem.
% 91.98/92.16
% 91.98/92.16 Process 25187 finished Wed Jul 27 06:54:53 2022
% 91.98/92.16 Otter interrupted
% 91.98/92.16 PROOF FOUND
%------------------------------------------------------------------------------