TSTP Solution File: GEO198+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO198+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n024.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 237.80s 238.06s
% Output : Refutation 237.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 37 ( 9 unt; 26 nHn; 11 RR)
% Number of literals : 97 ( 0 equ; 11 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 60 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ convergent_lines(A,A),
file('GEO198+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
file('GEO198+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(intersection_point(A,B),A) ),
file('GEO198+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(intersection_point(A,B),B) ),
file('GEO198+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('GEO198+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ apart_point_and_line(A,B)
| distinct_points(A,C)
| apart_point_and_line(C,B) ),
file('GEO198+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(A,B)
| distinct_lines(B,C)
| convergent_lines(A,C) ),
file('GEO198+1.p',unknown),
[] ).
cnf(15,axiom,
~ apart_point_and_line(intersection_point(dollar_c3,dollar_c2),dollar_c1),
file('GEO198+1.p',unknown),
[] ).
cnf(16,axiom,
convergent_lines(dollar_c3,dollar_c2),
file('GEO198+1.p',unknown),
[] ).
cnf(18,axiom,
convergent_lines(dollar_c3,dollar_c1),
file('GEO198+1.p',unknown),
[] ).
cnf(19,axiom,
apart_point_and_line(intersection_point(dollar_c3,dollar_c1),dollar_c2),
file('GEO198+1.p',unknown),
[] ).
cnf(21,plain,
( convergent_lines(dollar_c3,A)
| convergent_lines(dollar_c2,A) ),
inference(hyper,[status(thm)],[16,6]),
[iquote('hyper,16,6')] ).
cnf(25,plain,
( convergent_lines(dollar_c3,A)
| convergent_lines(dollar_c1,A) ),
inference(hyper,[status(thm)],[18,6]),
[iquote('hyper,18,6')] ).
cnf(27,plain,
( distinct_points(intersection_point(dollar_c3,dollar_c1),A)
| apart_point_and_line(A,dollar_c2) ),
inference(hyper,[status(thm)],[19,12]),
[iquote('hyper,19,12')] ).
cnf(30,plain,
( convergent_lines(dollar_c2,A)
| convergent_lines(dollar_c3,B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[21,6]),
[iquote('hyper,21,6')] ).
cnf(44,plain,
( convergent_lines(dollar_c1,A)
| convergent_lines(dollar_c3,B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[25,6]),
[iquote('hyper,25,6')] ).
cnf(67,plain,
( convergent_lines(dollar_c2,A)
| convergent_lines(A,dollar_c3) ),
inference(hyper,[status(thm)],[30,3]),
[iquote('hyper,30,3')] ).
cnf(72,plain,
( convergent_lines(A,dollar_c3)
| convergent_lines(dollar_c2,B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[67,6]),
[iquote('hyper,67,6')] ).
cnf(127,plain,
( convergent_lines(dollar_c1,A)
| convergent_lines(A,dollar_c3) ),
inference(hyper,[status(thm)],[44,3]),
[iquote('hyper,44,3')] ).
cnf(129,plain,
( convergent_lines(dollar_c1,A)
| convergent_lines(dollar_c3,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
inference(hyper,[status(thm)],[44,6]),
[iquote('hyper,44,6')] ).
cnf(132,plain,
( convergent_lines(A,dollar_c3)
| convergent_lines(dollar_c1,B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[127,6]),
[iquote('hyper,127,6')] ).
cnf(133,plain,
( convergent_lines(dollar_c1,A)
| distinct_lines(dollar_c3,B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[127,14]),
[iquote('hyper,127,14')] ).
cnf(134,plain,
distinct_lines(dollar_c3,dollar_c1),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[133]),3]),
[iquote('factor,133.1.3,unit_del,3')] ).
cnf(135,plain,
( apart_point_and_line(intersection_point(dollar_c3,dollar_c1),dollar_c3)
| apart_point_and_line(intersection_point(dollar_c3,dollar_c1),dollar_c1)
| apart_point_and_line(A,dollar_c3)
| apart_point_and_line(A,dollar_c1)
| apart_point_and_line(A,dollar_c2) ),
inference(hyper,[status(thm)],[134,11,27]),
[iquote('hyper,134,11,27')] ).
cnf(166,plain,
( convergent_lines(A,dollar_c3)
| convergent_lines(A,B)
| convergent_lines(dollar_c2,C)
| convergent_lines(B,C) ),
inference(hyper,[status(thm)],[72,6]),
[iquote('hyper,72,6')] ).
cnf(167,plain,
( convergent_lines(A,dollar_c3)
| convergent_lines(A,dollar_c2) ),
inference(hyper,[status(thm)],[72,3]),
[iquote('hyper,72,3')] ).
cnf(303,plain,
( convergent_lines(A,dollar_c3)
| convergent_lines(A,B)
| convergent_lines(dollar_c1,C)
| convergent_lines(B,C) ),
inference(hyper,[status(thm)],[132,6]),
[iquote('hyper,132,6')] ).
cnf(710,plain,
( convergent_lines(dollar_c1,A)
| convergent_lines(dollar_c3,B)
| convergent_lines(B,C)
| convergent_lines(A,D)
| convergent_lines(C,D) ),
inference(hyper,[status(thm)],[129,6]),
[iquote('hyper,129,6')] ).
cnf(713,plain,
( convergent_lines(dollar_c3,A)
| convergent_lines(A,B)
| convergent_lines(B,dollar_c1) ),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[710]),3]),
[iquote('factor,710.1.4,unit_del,3')] ).
cnf(723,plain,
( apart_point_and_line(intersection_point(dollar_c3,dollar_c1),dollar_c1)
| apart_point_and_line(A,dollar_c3)
| apart_point_and_line(A,dollar_c1)
| apart_point_and_line(A,dollar_c2) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[135,9,713]),3,3]),
[iquote('hyper,135,9,713,unit_del,3,3')] ).
cnf(1020,plain,
( convergent_lines(A,dollar_c3)
| convergent_lines(A,B)
| convergent_lines(B,dollar_c2) ),
inference(hyper,[status(thm)],[166,3]),
[iquote('hyper,166,3')] ).
cnf(1026,plain,
( convergent_lines(A,dollar_c3)
| convergent_lines(B,dollar_c2)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
inference(hyper,[status(thm)],[1020,6]),
[iquote('hyper,1020,6')] ).
cnf(1265,plain,
( convergent_lines(A,dollar_c3)
| convergent_lines(A,B)
| convergent_lines(B,dollar_c1) ),
inference(hyper,[status(thm)],[303,3]),
[iquote('hyper,303,3')] ).
cnf(3967,plain,
( apart_point_and_line(A,dollar_c3)
| apart_point_and_line(A,dollar_c1)
| apart_point_and_line(A,dollar_c2) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[723,10,1265]),3,3]),
[iquote('hyper,723,10,1265,unit_del,3,3')] ).
cnf(3996,plain,
apart_point_and_line(intersection_point(dollar_c3,dollar_c2),dollar_c2),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[3967,9,167]),15,3]),
[iquote('hyper,3967,9,167,unit_del,15,3')] ).
cnf(4040,plain,
convergent_lines(A,dollar_c2),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[3996,10,1026]),3])]),
[iquote('hyper,3996,10,1026,unit_del,3,factor_simp')] ).
cnf(4041,plain,
$false,
inference(binary,[status(thm)],[4040,3]),
[iquote('binary,4040.1,3.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO198+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n024.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 07:29:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.69/1.91 ----- Otter 3.3f, August 2004 -----
% 1.69/1.91 The process was started by sandbox2 on n024.cluster.edu,
% 1.69/1.91 Wed Jul 27 07:29:55 2022
% 1.69/1.91 The command was "./otter". The process ID is 17607.
% 1.69/1.91
% 1.69/1.91 set(prolog_style_variables).
% 1.69/1.91 set(auto).
% 1.69/1.91 dependent: set(auto1).
% 1.69/1.91 dependent: set(process_input).
% 1.69/1.91 dependent: clear(print_kept).
% 1.69/1.91 dependent: clear(print_new_demod).
% 1.69/1.91 dependent: clear(print_back_demod).
% 1.69/1.91 dependent: clear(print_back_sub).
% 1.69/1.91 dependent: set(control_memory).
% 1.69/1.91 dependent: assign(max_mem, 12000).
% 1.69/1.91 dependent: assign(pick_given_ratio, 4).
% 1.69/1.91 dependent: assign(stats_level, 1).
% 1.69/1.91 dependent: assign(max_seconds, 10800).
% 1.69/1.91 clear(print_given).
% 1.69/1.91
% 1.69/1.91 formula_list(usable).
% 1.69/1.91 all X (-distinct_points(X,X)).
% 1.69/1.91 all X (-distinct_lines(X,X)).
% 1.69/1.91 all X (-convergent_lines(X,X)).
% 1.69/1.91 all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 1.69/1.91 all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 1.69/1.91 all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 1.69/1.91 all X Y (distinct_points(X,Y)-> -apart_point_and_line(X,line_connecting(X,Y))).
% 1.69/1.91 all X Y (distinct_points(X,Y)-> -apart_point_and_line(Y,line_connecting(X,Y))).
% 1.69/1.91 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),X)).
% 1.69/1.91 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),Y)).
% 1.69/1.91 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)).
% 1.69/1.91 all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 1.69/1.91 all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 1.69/1.91 all X Y Z (convergent_lines(X,Y)->distinct_lines(Y,Z)|convergent_lines(X,Z)).
% 1.69/1.91 -(all X Y Z (convergent_lines(X,Y)&convergent_lines(Z,Y)&convergent_lines(X,Z)& -apart_point_and_line(intersection_point(X,Y),Z)-> -apart_point_and_line(intersection_point(X,Z),Y))).
% 1.69/1.91 end_of_list.
% 1.69/1.91
% 1.69/1.91 -------> usable clausifies to:
% 1.69/1.91
% 1.69/1.91 list(usable).
% 1.69/1.91 0 [] -distinct_points(X,X).
% 1.69/1.91 0 [] -distinct_lines(X,X).
% 1.69/1.91 0 [] -convergent_lines(X,X).
% 1.69/1.91 0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 1.69/1.91 0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 1.69/1.91 0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 1.69/1.91 0 [] -distinct_points(X,Y)| -apart_point_and_line(X,line_connecting(X,Y)).
% 1.69/1.91 0 [] -distinct_points(X,Y)| -apart_point_and_line(Y,line_connecting(X,Y)).
% 1.69/1.91 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),X).
% 1.69/1.91 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),Y).
% 1.69/1.91 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).
% 1.69/1.91 0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 1.69/1.91 0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 1.69/1.91 0 [] -convergent_lines(X,Y)|distinct_lines(Y,Z)|convergent_lines(X,Z).
% 1.69/1.91 0 [] convergent_lines($c3,$c2).
% 1.69/1.91 0 [] convergent_lines($c1,$c2).
% 1.69/1.91 0 [] convergent_lines($c3,$c1).
% 1.69/1.91 0 [] -apart_point_and_line(intersection_point($c3,$c2),$c1).
% 1.69/1.91 0 [] apart_point_and_line(intersection_point($c3,$c1),$c2).
% 1.69/1.91 end_of_list.
% 1.69/1.91
% 1.69/1.91 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.69/1.91
% 1.69/1.91 This is a non-Horn set without equality. The strategy will
% 1.69/1.91 be ordered hyper_res, unit deletion, and factoring, with
% 1.69/1.91 satellites in sos and with nuclei in usable.
% 1.69/1.91
% 1.69/1.91 dependent: set(hyper_res).
% 1.69/1.91 dependent: set(factor).
% 1.69/1.91 dependent: set(unit_deletion).
% 1.69/1.91
% 1.69/1.91 ------------> process usable:
% 1.69/1.91 ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 1.69/1.91 ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 1.69/1.91 ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 1.69/1.91 ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.69/1.91 ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 1.69/1.91 ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 1.69/1.91 ** KEPT (pick-wt=8): 7 [] -distinct_points(A,B)| -apart_point_and_line(A,line_connecting(A,B)).
% 1.69/1.91 ** KEPT (pick-wt=8): 8 [] -distinct_points(A,B)| -apart_point_and_line(B,line_connecting(A,B)).
% 237.80/238.06 ** KEPT (pick-wt=8): 9 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),A).
% 237.80/238.06 ** KEPT (pick-wt=8): 10 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),B).
% 237.80/238.06 ** 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).
% 237.80/238.06 ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 237.80/238.06 ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 237.80/238.06 ** KEPT (pick-wt=9): 14 [] -convergent_lines(A,B)|distinct_lines(B,C)|convergent_lines(A,C).
% 237.80/238.06 ** KEPT (pick-wt=5): 15 [] -apart_point_and_line(intersection_point($c3,$c2),$c1).
% 237.80/238.06
% 237.80/238.06 ------------> process sos:
% 237.80/238.06 ** KEPT (pick-wt=3): 16 [] convergent_lines($c3,$c2).
% 237.80/238.06 ** KEPT (pick-wt=3): 17 [] convergent_lines($c1,$c2).
% 237.80/238.06 ** KEPT (pick-wt=3): 18 [] convergent_lines($c3,$c1).
% 237.80/238.06 ** KEPT (pick-wt=5): 19 [] apart_point_and_line(intersection_point($c3,$c1),$c2).
% 237.80/238.06
% 237.80/238.06 ======= end of input processing =======
% 237.80/238.06
% 237.80/238.06 =========== start of search ===========
% 237.80/238.06
% 237.80/238.06
% 237.80/238.06 Resetting weight limit to 15.
% 237.80/238.06
% 237.80/238.06
% 237.80/238.06 Resetting weight limit to 15.
% 237.80/238.06
% 237.80/238.06 sos_size=3232
% 237.80/238.06
% 237.80/238.06 -- HEY sandbox2, WE HAVE A PROOF!! --
% 237.80/238.06
% 237.80/238.06 ----> UNIT CONFLICT at 236.12 sec ----> 4041 [binary,4040.1,3.1] $F.
% 237.80/238.06
% 237.80/238.06 Length of proof is 25. Level of proof is 10.
% 237.80/238.06
% 237.80/238.06 ---------------- PROOF ----------------
% 237.80/238.06 % SZS status Theorem
% 237.80/238.06 % SZS output start Refutation
% See solution above
% 237.80/238.06 ------------ end of proof -------------
% 237.80/238.06
% 237.80/238.06
% 237.80/238.06 Search stopped by max_proofs option.
% 237.80/238.06
% 237.80/238.06
% 237.80/238.06 Search stopped by max_proofs option.
% 237.80/238.06
% 237.80/238.06 ============ end of search ============
% 237.80/238.06
% 237.80/238.06 -------------- statistics -------------
% 237.80/238.06 clauses given 512
% 237.80/238.06 clauses generated 129490
% 237.80/238.06 clauses kept 4040
% 237.80/238.06 clauses forward subsumed 90744
% 237.80/238.06 clauses back subsumed 255
% 237.80/238.06 Kbytes malloced 4882
% 237.80/238.06
% 237.80/238.06 ----------- times (seconds) -----------
% 237.80/238.06 user CPU time 236.12 (0 hr, 3 min, 56 sec)
% 237.80/238.06 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 237.80/238.06 wall-clock time 238 (0 hr, 3 min, 58 sec)
% 237.80/238.06
% 237.80/238.06 That finishes the proof of the theorem.
% 237.80/238.06
% 237.80/238.06 Process 17607 finished Wed Jul 27 07:33:53 2022
% 237.80/238.06 Otter interrupted
% 237.80/238.06 PROOF FOUND
%------------------------------------------------------------------------------