%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO204+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 12:54:48 EDT 2022
% Result : Theorem 9.40s 9.62s
% Output : Refutation 9.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of clauses : 29 ( 9 unt; 17 nHn; 15 RR)
% Number of literals : 67 ( 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 36 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ distinct_points(A,A),
file('GEO204+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ distinct_points(A,B)
| distinct_points(A,C)
| distinct_points(B,C) ),
file('GEO204+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ distinct_points(A,B)
| ~ apart_point_and_line(A,line_connecting(A,B)) ),
file('GEO204+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ distinct_points(A,B)
| ~ apart_point_and_line(B,line_connecting(A,B)) ),
file('GEO204+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('GEO204+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ apart_point_and_line(A,B)
| distinct_points(A,C)
| apart_point_and_line(C,B) ),
file('GEO204+1.p',unknown),
[] ).
cnf(15,axiom,
~ distinct_points(dollar_c2,dollar_c1),
file('GEO204+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ distinct_points(dollar_c3,dollar_c1)
| distinct_lines(line_connecting(dollar_c3,dollar_c2),line_connecting(dollar_c3,dollar_c1)) ),
file('GEO204+1.p',unknown),
[] ).
cnf(17,axiom,
distinct_points(dollar_c3,dollar_c2),
file('GEO204+1.p',unknown),
[] ).
cnf(18,plain,
( distinct_points(dollar_c3,A)
| distinct_points(dollar_c2,A) ),
inference(hyper,[status(thm)],[17,4]),
[iquote('hyper,17,4')] ).
cnf(19,plain,
distinct_lines(line_connecting(dollar_c3,dollar_c2),line_connecting(dollar_c3,dollar_c1)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[18,16]),15]),
[iquote('hyper,18,16,unit_del,15')] ).
cnf(20,plain,
( distinct_points(dollar_c2,A)
| distinct_points(dollar_c3,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[18,4]),
[iquote('hyper,18,4')] ).
cnf(22,plain,
distinct_points(dollar_c3,dollar_c1),
inference(hyper,[status(thm)],[18,15]),
[iquote('hyper,18,15')] ).
cnf(30,plain,
( apart_point_and_line(dollar_c3,line_connecting(dollar_c3,dollar_c2))
| apart_point_and_line(dollar_c3,line_connecting(dollar_c3,dollar_c1))
| apart_point_and_line(dollar_c1,line_connecting(dollar_c3,dollar_c2))
| apart_point_and_line(dollar_c1,line_connecting(dollar_c3,dollar_c1)) ),
inference(hyper,[status(thm)],[19,11,22]),
[iquote('hyper,19,11,22')] ).
cnf(39,plain,
( distinct_points(dollar_c2,A)
| distinct_points(A,dollar_c3) ),
inference(hyper,[status(thm)],[20,1]),
[iquote('hyper,20,1')] ).
cnf(44,plain,
( distinct_points(A,dollar_c3)
| distinct_points(dollar_c2,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[39,4]),
[iquote('hyper,39,4')] ).
cnf(67,plain,
( distinct_points(A,dollar_c3)
| distinct_points(A,B)
| distinct_points(dollar_c2,C)
| distinct_points(B,C) ),
inference(hyper,[status(thm)],[44,4]),
[iquote('hyper,44,4')] ).
cnf(68,plain,
( distinct_points(A,dollar_c3)
| distinct_points(A,dollar_c2) ),
inference(hyper,[status(thm)],[44,1]),
[iquote('hyper,44,1')] ).
cnf(148,plain,
( apart_point_and_line(dollar_c3,line_connecting(dollar_c3,dollar_c1))
| apart_point_and_line(dollar_c1,line_connecting(dollar_c3,dollar_c2))
| apart_point_and_line(dollar_c1,line_connecting(dollar_c3,dollar_c1)) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[30,7,68]),1]),
[iquote('hyper,30,7,68,unit_del,1')] ).
cnf(280,plain,
( distinct_points(A,dollar_c3)
| distinct_points(A,B)
| distinct_points(B,dollar_c1) ),
inference(hyper,[status(thm)],[67,15]),
[iquote('hyper,67,15')] ).
cnf(285,plain,
( distinct_points(A,dollar_c3)
| distinct_points(A,B)
| distinct_points(B,dollar_c2) ),
inference(hyper,[status(thm)],[67,1]),
[iquote('hyper,67,1')] ).
cnf(297,plain,
( distinct_points(A,dollar_c3)
| distinct_points(B,dollar_c2)
| distinct_points(A,C)
| distinct_points(B,C) ),
inference(hyper,[status(thm)],[285,4]),
[iquote('hyper,285,4')] ).
cnf(1512,plain,
( apart_point_and_line(dollar_c1,line_connecting(dollar_c3,dollar_c2))
| apart_point_and_line(dollar_c1,line_connecting(dollar_c3,dollar_c1)) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[148,7,280]),1,1]),
[iquote('hyper,148,7,280,unit_del,1,1')] ).
cnf(1534,plain,
apart_point_and_line(dollar_c1,line_connecting(dollar_c3,dollar_c2)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1512,8,280]),1,1]),
[iquote('hyper,1512,8,280,unit_del,1,1')] ).
cnf(1536,plain,
( distinct_points(dollar_c1,A)
| apart_point_and_line(A,line_connecting(dollar_c3,dollar_c2)) ),
inference(hyper,[status(thm)],[1534,12]),
[iquote('hyper,1534,12')] ).
cnf(1621,plain,
( apart_point_and_line(A,line_connecting(dollar_c3,dollar_c2))
| distinct_points(dollar_c1,B)
| distinct_points(A,B) ),
inference(hyper,[status(thm)],[1536,4]),
[iquote('hyper,1536,4')] ).
cnf(1788,plain,
apart_point_and_line(dollar_c2,line_connecting(dollar_c3,dollar_c2)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1621,15]),1]),
[iquote('hyper,1621,15,unit_del,1')] ).
cnf(1803,plain,
distinct_points(A,dollar_c2),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1788,8,297]),1])]),
[iquote('hyper,1788,8,297,unit_del,1,factor_simp')] ).
cnf(1804,plain,
$false,
inference(binary,[status(thm)],[1803,1]),
[iquote('binary,1803.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO204+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % 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 07:17:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.74/1.95 ----- Otter 3.3f, August 2004 -----
% 1.74/1.95 The process was started by sandbox on n018.cluster.edu,
% 1.74/1.95 Wed Jul 27 07:17:16 2022
% 1.74/1.95 The command was "./otter". The process ID is 9894.
% 1.74/1.95
% 1.74/1.95 set(prolog_style_variables).
% 1.74/1.95 set(auto).
% 1.74/1.95 dependent: set(auto1).
% 1.74/1.95 dependent: set(process_input).
% 1.74/1.95 dependent: clear(print_kept).
% 1.74/1.95 dependent: clear(print_new_demod).
% 1.74/1.95 dependent: clear(print_back_demod).
% 1.74/1.95 dependent: clear(print_back_sub).
% 1.74/1.95 dependent: set(control_memory).
% 1.74/1.95 dependent: assign(max_mem, 12000).
% 1.74/1.95 dependent: assign(pick_given_ratio, 4).
% 1.74/1.95 dependent: assign(stats_level, 1).
% 1.74/1.95 dependent: assign(max_seconds, 10800).
% 1.74/1.95 clear(print_given).
% 1.74/1.95
% 1.74/1.95 formula_list(usable).
% 1.74/1.95 all X (-distinct_points(X,X)).
% 1.74/1.95 all X (-distinct_lines(X,X)).
% 1.74/1.95 all X (-convergent_lines(X,X)).
% 1.74/1.95 all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 1.74/1.95 all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 1.74/1.95 all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 1.74/1.95 all X Y (distinct_points(X,Y)-> -apart_point_and_line(X,line_connecting(X,Y))).
% 1.74/1.95 all X Y (distinct_points(X,Y)-> -apart_point_and_line(Y,line_connecting(X,Y))).
% 1.74/1.95 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),X)).
% 1.74/1.95 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),Y)).
% 1.74/1.95 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)).
% 1.74/1.95 all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 1.74/1.95 all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 1.74/1.95 all X Y Z (convergent_lines(X,Y)->distinct_lines(Y,Z)|convergent_lines(X,Z)).
% 1.74/1.95 -(all X Y Z (distinct_points(X,Y)& -distinct_points(Y,Z)->distinct_points(X,Z)& -distinct_lines(line_connecting(X,Y),line_connecting(X,Z)))).
% 1.74/1.95 end_of_list.
% 1.74/1.95
% 1.74/1.95 -------> usable clausifies to:
% 1.74/1.95
% 1.74/1.95 list(usable).
% 1.74/1.95 0 [] -distinct_points(X,X).
% 1.74/1.95 0 [] -distinct_lines(X,X).
% 1.74/1.95 0 [] -convergent_lines(X,X).
% 1.74/1.95 0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 1.74/1.95 0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 1.74/1.95 0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 1.74/1.95 0 [] -distinct_points(X,Y)| -apart_point_and_line(X,line_connecting(X,Y)).
% 1.74/1.95 0 [] -distinct_points(X,Y)| -apart_point_and_line(Y,line_connecting(X,Y)).
% 1.74/1.95 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),X).
% 1.74/1.95 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),Y).
% 1.74/1.95 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).
% 1.74/1.95 0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 1.74/1.95 0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 1.74/1.95 0 [] -convergent_lines(X,Y)|distinct_lines(Y,Z)|convergent_lines(X,Z).
% 1.74/1.95 0 [] distinct_points($c3,$c2).
% 1.74/1.95 0 [] -distinct_points($c2,$c1).
% 1.74/1.95 0 [] -distinct_points($c3,$c1)|distinct_lines(line_connecting($c3,$c2),line_connecting($c3,$c1)).
% 1.74/1.95 end_of_list.
% 1.74/1.95
% 1.74/1.95 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.74/1.95
% 1.74/1.95 This is a non-Horn set without equality. The strategy will
% 1.74/1.95 be ordered hyper_res, unit deletion, and factoring, with
% 1.74/1.95 satellites in sos and with nuclei in usable.
% 1.74/1.95
% 1.74/1.95 dependent: set(hyper_res).
% 1.74/1.95 dependent: set(factor).
% 1.74/1.95 dependent: set(unit_deletion).
% 1.74/1.95
% 1.74/1.95 ------------> process usable:
% 1.74/1.95 ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 1.74/1.95 ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 1.74/1.95 ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 1.74/1.95 ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.74/1.95 ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 1.74/1.95 ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 1.74/1.95 ** KEPT (pick-wt=8): 7 [] -distinct_points(A,B)| -apart_point_and_line(A,line_connecting(A,B)).
% 1.74/1.95 ** KEPT (pick-wt=8): 8 [] -distinct_points(A,B)| -apart_point_and_line(B,line_connecting(A,B)).
% 1.74/1.95 ** KEPT (pick-wt=8): 9 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),A).
% 9.40/9.62 ** KEPT (pick-wt=8): 10 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),B).
% 9.40/9.62 ** 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).
% 9.40/9.62 ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 9.40/9.62 ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 9.40/9.62 ** KEPT (pick-wt=9): 14 [] -convergent_lines(A,B)|distinct_lines(B,C)|convergent_lines(A,C).
% 9.40/9.62 ** KEPT (pick-wt=3): 15 [] -distinct_points($c2,$c1).
% 9.40/9.62 ** KEPT (pick-wt=10): 16 [] -distinct_points($c3,$c1)|distinct_lines(line_connecting($c3,$c2),line_connecting($c3,$c1)).
% 9.40/9.62
% 9.40/9.62 ------------> process sos:
% 9.40/9.62 ** KEPT (pick-wt=3): 17 [] distinct_points($c3,$c2).
% 9.40/9.62
% 9.40/9.62 ======= end of input processing =======
% 9.40/9.62
% 9.40/9.62 =========== start of search ===========
% 9.40/9.62
% 9.40/9.62 -------- PROOF --------
% 9.40/9.62
% 9.40/9.62 ----> UNIT CONFLICT at 7.66 sec ----> 1804 [binary,1803.1,1.1] $F.
% 9.40/9.62
% 9.40/9.62 Length of proof is 19. Level of proof is 12.
% 9.40/9.62
% 9.40/9.62 ---------------- PROOF ----------------
% 9.40/9.62 % SZS status Theorem
% 9.40/9.62 % SZS output start Refutation
% See solution above
% 9.40/9.62 ------------ end of proof -------------
% 9.40/9.62
% 9.40/9.62
% 9.40/9.62 Search stopped by max_proofs option.
% 9.40/9.62
% 9.40/9.62
% 9.40/9.62 Search stopped by max_proofs option.
% 9.40/9.62
% 9.40/9.62 ============ end of search ============
% 9.40/9.62
% 9.40/9.62 -------------- statistics -------------
% 9.40/9.62 clauses given 83
% 9.40/9.62 clauses generated 21218
% 9.40/9.62 clauses kept 1803
% 9.40/9.62 clauses forward subsumed 19432
% 9.40/9.62 clauses back subsumed 528
% 9.40/9.62 Kbytes malloced 1953
% 9.40/9.62
% 9.40/9.62 ----------- times (seconds) -----------
% 9.40/9.62 user CPU time 7.66 (0 hr, 0 min, 7 sec)
% 9.40/9.62 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 9.40/9.62 wall-clock time 9 (0 hr, 0 min, 9 sec)
% 9.40/9.62
% 9.40/9.62 That finishes the proof of the theorem.
% 9.40/9.62
% 9.40/9.62 Process 9894 finished Wed Jul 27 07:17:25 2022
% 9.40/9.62 Otter interrupted
% 9.40/9.62 PROOF FOUND
%------------------------------------------------------------------------------