TSTP Solution File: GEO187+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO187+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n018.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 12:54:41 EDT 2022
% Result : Theorem 77.30s 77.59s
% Output : Refutation 77.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of clauses : 40 ( 10 unt; 28 nHn; 16 RR)
% Number of literals : 108 ( 0 equ; 11 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 60 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ distinct_points(A,A),
file('GEO187+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ distinct_points(A,B)
| distinct_points(A,C)
| distinct_points(B,C) ),
file('GEO187+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ distinct_points(A,B)
| ~ apart_point_and_line(A,line_connecting(A,B)) ),
file('GEO187+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ distinct_points(A,B)
| ~ apart_point_and_line(B,line_connecting(A,B)) ),
file('GEO187+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('GEO187+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ apart_point_and_line(A,B)
| distinct_lines(B,C)
| apart_point_and_line(A,C) ),
file('GEO187+1.p',unknown),
[] ).
cnf(15,axiom,
~ apart_point_and_line(dollar_c4,line_connecting(dollar_c2,dollar_c1)),
file('GEO187+1.p',unknown),
[] ).
cnf(16,axiom,
~ apart_point_and_line(dollar_c3,line_connecting(dollar_c2,dollar_c1)),
file('GEO187+1.p',unknown),
[] ).
cnf(17,axiom,
distinct_points(dollar_c4,dollar_c3),
file('GEO187+1.p',unknown),
[] ).
cnf(18,axiom,
distinct_points(dollar_c2,dollar_c1),
file('GEO187+1.p',unknown),
[] ).
cnf(19,axiom,
( apart_point_and_line(dollar_c2,line_connecting(dollar_c4,dollar_c3))
| apart_point_and_line(dollar_c1,line_connecting(dollar_c4,dollar_c3)) ),
file('GEO187+1.p',unknown),
[] ).
cnf(20,plain,
( distinct_points(dollar_c4,A)
| distinct_points(dollar_c3,A) ),
inference(hyper,[status(thm)],[17,4]),
[iquote('hyper,17,4')] ).
cnf(21,plain,
( distinct_points(dollar_c2,A)
| distinct_points(dollar_c1,A) ),
inference(hyper,[status(thm)],[18,4]),
[iquote('hyper,18,4')] ).
cnf(22,plain,
( distinct_points(dollar_c3,A)
| distinct_points(dollar_c4,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[20,4]),
[iquote('hyper,20,4')] ).
cnf(23,plain,
distinct_points(dollar_c3,dollar_c4),
inference(hyper,[status(thm)],[20,1]),
[iquote('hyper,20,1')] ).
cnf(25,plain,
( distinct_points(dollar_c1,A)
| distinct_points(dollar_c2,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[21,4]),
[iquote('hyper,21,4')] ).
cnf(28,plain,
( apart_point_and_line(dollar_c1,line_connecting(dollar_c4,dollar_c3))
| distinct_lines(line_connecting(dollar_c4,dollar_c3),A)
| apart_point_and_line(dollar_c2,A) ),
inference(hyper,[status(thm)],[19,13]),
[iquote('hyper,19,13')] ).
cnf(34,plain,
( distinct_points(dollar_c3,A)
| distinct_points(A,dollar_c4) ),
inference(hyper,[status(thm)],[22,1]),
[iquote('hyper,22,1')] ).
cnf(37,plain,
( distinct_points(A,dollar_c4)
| distinct_points(dollar_c3,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[34,4]),
[iquote('hyper,34,4')] ).
cnf(42,plain,
( distinct_points(dollar_c1,A)
| distinct_points(A,dollar_c2) ),
inference(hyper,[status(thm)],[25,1]),
[iquote('hyper,25,1')] ).
cnf(43,plain,
( distinct_points(dollar_c1,A)
| distinct_points(dollar_c2,B)
| distinct_points(A,C)
| distinct_points(B,C) ),
inference(hyper,[status(thm)],[25,4]),
[iquote('hyper,25,4')] ).
cnf(44,plain,
( distinct_points(dollar_c2,A)
| distinct_points(A,dollar_c1) ),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[43]),1]),
[iquote('factor,43.1.3,unit_del,1')] ).
cnf(45,plain,
( distinct_points(A,dollar_c2)
| distinct_points(dollar_c1,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[42,4]),
[iquote('hyper,42,4')] ).
cnf(58,plain,
( apart_point_and_line(dollar_c1,line_connecting(dollar_c4,dollar_c3))
| apart_point_and_line(dollar_c2,A)
| apart_point_and_line(dollar_c3,line_connecting(dollar_c4,dollar_c3))
| apart_point_and_line(dollar_c3,A)
| apart_point_and_line(dollar_c4,line_connecting(dollar_c4,dollar_c3))
| apart_point_and_line(dollar_c4,A) ),
inference(hyper,[status(thm)],[28,11,23]),
[iquote('hyper,28,11,23')] ).
cnf(73,plain,
( distinct_points(A,dollar_c4)
| distinct_points(A,B)
| distinct_points(dollar_c3,C)
| distinct_points(B,C) ),
inference(hyper,[status(thm)],[37,4]),
[iquote('hyper,37,4')] ).
cnf(89,plain,
( distinct_points(A,dollar_c2)
| distinct_points(A,dollar_c1) ),
inference(hyper,[status(thm)],[45,1]),
[iquote('hyper,45,1')] ).
cnf(237,plain,
( distinct_points(A,dollar_c4)
| distinct_points(A,B)
| distinct_points(B,C)
| distinct_points(dollar_c3,D)
| distinct_points(C,D) ),
inference(hyper,[status(thm)],[73,4]),
[iquote('hyper,73,4')] ).
cnf(238,plain,
( distinct_points(A,dollar_c4)
| distinct_points(A,B)
| distinct_points(B,dollar_c3) ),
inference(hyper,[status(thm)],[73,1]),
[iquote('hyper,73,1')] ).
cnf(789,plain,
( apart_point_and_line(dollar_c1,line_connecting(dollar_c4,dollar_c3))
| apart_point_and_line(dollar_c3,line_connecting(dollar_c4,dollar_c3))
| apart_point_and_line(dollar_c4,line_connecting(dollar_c4,dollar_c3)) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[58,7,89]),16,15,1]),
[iquote('hyper,58,7,89,unit_del,16,15,1')] ).
cnf(827,plain,
( distinct_points(A,dollar_c4)
| distinct_points(A,B)
| distinct_points(B,C)
| distinct_points(C,D)
| distinct_points(dollar_c3,E)
| distinct_points(D,E) ),
inference(hyper,[status(thm)],[237,4]),
[iquote('hyper,237,4')] ).
cnf(1868,plain,
( apart_point_and_line(dollar_c1,line_connecting(dollar_c4,dollar_c3))
| apart_point_and_line(dollar_c4,line_connecting(dollar_c4,dollar_c3)) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[789,8,238]),1,1]),
[iquote('hyper,789,8,238,unit_del,1,1')] ).
cnf(1971,plain,
apart_point_and_line(dollar_c1,line_connecting(dollar_c4,dollar_c3)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1868,7,238]),1,1]),
[iquote('hyper,1868,7,238,unit_del,1,1')] ).
cnf(1973,plain,
( distinct_lines(line_connecting(dollar_c4,dollar_c3),A)
| apart_point_and_line(dollar_c1,A) ),
inference(hyper,[status(thm)],[1971,13]),
[iquote('hyper,1971,13')] ).
cnf(2141,plain,
( apart_point_and_line(dollar_c1,A)
| apart_point_and_line(dollar_c3,line_connecting(dollar_c4,dollar_c3))
| apart_point_and_line(dollar_c3,A)
| apart_point_and_line(dollar_c4,line_connecting(dollar_c4,dollar_c3))
| apart_point_and_line(dollar_c4,A) ),
inference(hyper,[status(thm)],[1973,11,23]),
[iquote('hyper,1973,11,23')] ).
cnf(4521,plain,
( distinct_points(A,dollar_c4)
| distinct_points(A,B)
| distinct_points(B,C)
| distinct_points(C,D)
| distinct_points(D,dollar_c3) ),
inference(hyper,[status(thm)],[827,1]),
[iquote('hyper,827,1')] ).
cnf(4522,plain,
( distinct_points(A,dollar_c4)
| distinct_points(B,C)
| distinct_points(C,D)
| distinct_points(D,dollar_c3)
| distinct_points(A,E)
| distinct_points(B,E) ),
inference(hyper,[status(thm)],[4521,4]),
[iquote('hyper,4521,4')] ).
cnf(4541,plain,
( apart_point_and_line(dollar_c3,line_connecting(dollar_c4,dollar_c3))
| apart_point_and_line(dollar_c4,line_connecting(dollar_c4,dollar_c3)) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[2141,8,44]),16,15,1]),
[iquote('hyper,2141,8,44,unit_del,16,15,1')] ).
cnf(4634,plain,
apart_point_and_line(dollar_c4,line_connecting(dollar_c4,dollar_c3)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4541,8,238]),1,1]),
[iquote('hyper,4541,8,238,unit_del,1,1')] ).
cnf(4719,plain,
distinct_points(A,dollar_c4),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4634,7,4522]),1])])])]),
[iquote('hyper,4634,7,4522,unit_del,1,factor_simp,factor_simp,factor_simp')] ).
cnf(4720,plain,
$false,
inference(binary,[status(thm)],[4719,1]),
[iquote('binary,4719.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO187+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n018.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 07:00:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.57/1.78 ----- Otter 3.3f, August 2004 -----
% 1.57/1.78 The process was started by sandbox on n018.cluster.edu,
% 1.57/1.78 Wed Jul 27 07:00:01 2022
% 1.57/1.78 The command was "./otter". The process ID is 30210.
% 1.57/1.78
% 1.57/1.78 set(prolog_style_variables).
% 1.57/1.78 set(auto).
% 1.57/1.78 dependent: set(auto1).
% 1.57/1.78 dependent: set(process_input).
% 1.57/1.78 dependent: clear(print_kept).
% 1.57/1.78 dependent: clear(print_new_demod).
% 1.57/1.78 dependent: clear(print_back_demod).
% 1.57/1.78 dependent: clear(print_back_sub).
% 1.57/1.78 dependent: set(control_memory).
% 1.57/1.78 dependent: assign(max_mem, 12000).
% 1.57/1.78 dependent: assign(pick_given_ratio, 4).
% 1.57/1.78 dependent: assign(stats_level, 1).
% 1.57/1.78 dependent: assign(max_seconds, 10800).
% 1.57/1.78 clear(print_given).
% 1.57/1.78
% 1.57/1.78 formula_list(usable).
% 1.57/1.78 all X (-distinct_points(X,X)).
% 1.57/1.78 all X (-distinct_lines(X,X)).
% 1.57/1.78 all X (-convergent_lines(X,X)).
% 1.57/1.78 all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 1.57/1.78 all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 1.57/1.78 all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 1.57/1.78 all X Y (distinct_points(X,Y)-> -apart_point_and_line(X,line_connecting(X,Y))).
% 1.57/1.79 all X Y (distinct_points(X,Y)-> -apart_point_and_line(Y,line_connecting(X,Y))).
% 1.57/1.79 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),X)).
% 1.57/1.79 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),Y)).
% 1.57/1.79 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)).
% 1.57/1.79 all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 1.57/1.79 all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 1.57/1.79 all X Y Z (convergent_lines(X,Y)->distinct_lines(Y,Z)|convergent_lines(X,Z)).
% 1.57/1.79 -(all X Y U V (distinct_points(X,Y)&distinct_points(U,V)& -apart_point_and_line(X,line_connecting(U,V))& -apart_point_and_line(Y,line_connecting(U,V))-> -apart_point_and_line(U,line_connecting(X,Y))& -apart_point_and_line(V,line_connecting(X,Y)))).
% 1.57/1.79 end_of_list.
% 1.57/1.79
% 1.57/1.79 -------> usable clausifies to:
% 1.57/1.79
% 1.57/1.79 list(usable).
% 1.57/1.79 0 [] -distinct_points(X,X).
% 1.57/1.79 0 [] -distinct_lines(X,X).
% 1.57/1.79 0 [] -convergent_lines(X,X).
% 1.57/1.79 0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 1.57/1.79 0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 1.57/1.79 0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 1.57/1.79 0 [] -distinct_points(X,Y)| -apart_point_and_line(X,line_connecting(X,Y)).
% 1.57/1.79 0 [] -distinct_points(X,Y)| -apart_point_and_line(Y,line_connecting(X,Y)).
% 1.57/1.79 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),X).
% 1.57/1.79 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),Y).
% 1.57/1.79 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).
% 1.57/1.79 0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 1.57/1.79 0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 1.57/1.79 0 [] -convergent_lines(X,Y)|distinct_lines(Y,Z)|convergent_lines(X,Z).
% 1.57/1.79 0 [] distinct_points($c4,$c3).
% 1.57/1.79 0 [] distinct_points($c2,$c1).
% 1.57/1.79 0 [] -apart_point_and_line($c4,line_connecting($c2,$c1)).
% 1.57/1.79 0 [] -apart_point_and_line($c3,line_connecting($c2,$c1)).
% 1.57/1.79 0 [] apart_point_and_line($c2,line_connecting($c4,$c3))|apart_point_and_line($c1,line_connecting($c4,$c3)).
% 1.57/1.79 end_of_list.
% 1.57/1.79
% 1.57/1.79 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.57/1.79
% 1.57/1.79 This is a non-Horn set without equality. The strategy will
% 1.57/1.79 be ordered hyper_res, unit deletion, and factoring, with
% 1.57/1.79 satellites in sos and with nuclei in usable.
% 1.57/1.79
% 1.57/1.79 dependent: set(hyper_res).
% 1.57/1.79 dependent: set(factor).
% 1.57/1.79 dependent: set(unit_deletion).
% 1.57/1.79
% 1.57/1.79 ------------> process usable:
% 1.57/1.79 ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 1.57/1.79 ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 1.57/1.79 ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 1.57/1.79 ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.57/1.79 ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 1.57/1.79 ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 1.57/1.79 ** KEPT (pick-wt=8): 7 [] -distinct_points(A,B)| -apart_point_and_line(A,line_connecting(A,B)).
% 77.30/77.59 ** KEPT (pick-wt=8): 8 [] -distinct_points(A,B)| -apart_point_and_line(B,line_connecting(A,B)).
% 77.30/77.59 ** KEPT (pick-wt=8): 9 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),A).
% 77.30/77.59 ** KEPT (pick-wt=8): 10 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),B).
% 77.30/77.59 ** 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).
% 77.30/77.59 ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 77.30/77.59 ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 77.30/77.59 ** KEPT (pick-wt=9): 14 [] -convergent_lines(A,B)|distinct_lines(B,C)|convergent_lines(A,C).
% 77.30/77.59 ** KEPT (pick-wt=5): 15 [] -apart_point_and_line($c4,line_connecting($c2,$c1)).
% 77.30/77.59 ** KEPT (pick-wt=5): 16 [] -apart_point_and_line($c3,line_connecting($c2,$c1)).
% 77.30/77.59
% 77.30/77.59 ------------> process sos:
% 77.30/77.59 ** KEPT (pick-wt=3): 17 [] distinct_points($c4,$c3).
% 77.30/77.59 ** KEPT (pick-wt=3): 18 [] distinct_points($c2,$c1).
% 77.30/77.59 ** KEPT (pick-wt=10): 19 [] apart_point_and_line($c2,line_connecting($c4,$c3))|apart_point_and_line($c1,line_connecting($c4,$c3)).
% 77.30/77.59
% 77.30/77.59 ======= end of input processing =======
% 77.30/77.59
% 77.30/77.59 =========== start of search ===========
% 77.30/77.59
% 77.30/77.59
% 77.30/77.59 Resetting weight limit to 22.
% 77.30/77.59
% 77.30/77.59
% 77.30/77.59 Resetting weight limit to 22.
% 77.30/77.59
% 77.30/77.59 sos_size=2362
% 77.30/77.59
% 77.30/77.59
% 77.30/77.59 Resetting weight limit to 20.
% 77.30/77.59
% 77.30/77.59
% 77.30/77.59 Resetting weight limit to 20.
% 77.30/77.59
% 77.30/77.59 sos_size=2330
% 77.30/77.59
% 77.30/77.59 -- HEY sandbox, WE HAVE A PROOF!! --
% 77.30/77.59
% 77.30/77.59 ----> UNIT CONFLICT at 75.80 sec ----> 4720 [binary,4719.1,1.1] $F.
% 77.30/77.59
% 77.30/77.59 Length of proof is 28. Level of proof is 13.
% 77.30/77.59
% 77.30/77.59 ---------------- PROOF ----------------
% 77.30/77.59 % SZS status Theorem
% 77.30/77.59 % SZS output start Refutation
% See solution above
% 77.30/77.59 ------------ end of proof -------------
% 77.30/77.59
% 77.30/77.59
% 77.30/77.59 Search stopped by max_proofs option.
% 77.30/77.59
% 77.30/77.59
% 77.30/77.59 Search stopped by max_proofs option.
% 77.30/77.59
% 77.30/77.59 ============ end of search ============
% 77.30/77.59
% 77.30/77.59 -------------- statistics -------------
% 77.30/77.59 clauses given 334
% 77.30/77.59 clauses generated 179241
% 77.30/77.59 clauses kept 4719
% 77.30/77.59 clauses forward subsumed 71288
% 77.30/77.59 clauses back subsumed 2491
% 77.30/77.59 Kbytes malloced 4882
% 77.30/77.59
% 77.30/77.59 ----------- times (seconds) -----------
% 77.30/77.59 user CPU time 75.80 (0 hr, 1 min, 15 sec)
% 77.30/77.59 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 77.30/77.59 wall-clock time 77 (0 hr, 1 min, 17 sec)
% 77.30/77.59
% 77.30/77.59 That finishes the proof of the theorem.
% 77.30/77.59
% 77.30/77.59 Process 30210 finished Wed Jul 27 07:01:18 2022
% 77.30/77.59 Otter interrupted
% 77.30/77.59 PROOF FOUND
%------------------------------------------------------------------------------