%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO171+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n021.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 12:54:35 EDT 2022
% Result : Theorem 1.70s 1.89s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 6 unt; 4 nHn; 6 RR)
% Number of literals : 16 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ convergent_lines(A,A),
file('GEO171+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
file('GEO171+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(A,B)
| distinct_lines(B,C)
| convergent_lines(A,C) ),
file('GEO171+1.p',unknown),
[] ).
cnf(15,axiom,
~ distinct_lines(dollar_c2,dollar_c1),
file('GEO171+1.p',unknown),
[] ).
cnf(16,axiom,
convergent_lines(dollar_c2,dollar_c1),
file('GEO171+1.p',unknown),
[] ).
cnf(18,plain,
( convergent_lines(dollar_c2,A)
| convergent_lines(dollar_c1,A) ),
inference(hyper,[status(thm)],[16,6]),
[iquote('hyper,16,6')] ).
cnf(22,plain,
convergent_lines(dollar_c1,dollar_c2),
inference(hyper,[status(thm)],[18,3]),
[iquote('hyper,18,3')] ).
cnf(25,plain,
( distinct_lines(dollar_c2,A)
| convergent_lines(dollar_c1,A) ),
inference(hyper,[status(thm)],[22,14]),
[iquote('hyper,22,14')] ).
cnf(26,plain,
convergent_lines(dollar_c1,dollar_c1),
inference(hyper,[status(thm)],[25,15]),
[iquote('hyper,25,15')] ).
cnf(27,plain,
$false,
inference(binary,[status(thm)],[26,3]),
[iquote('binary,26.1,3.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO171+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 07:02:53 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.70/1.89 ----- Otter 3.3f, August 2004 -----
% 1.70/1.89 The process was started by sandbox2 on n021.cluster.edu,
% 1.70/1.89 Wed Jul 27 07:02:53 2022
% 1.70/1.89 The command was "./otter". The process ID is 24563.
% 1.70/1.89
% 1.70/1.89 set(prolog_style_variables).
% 1.70/1.89 set(auto).
% 1.70/1.89 dependent: set(auto1).
% 1.70/1.89 dependent: set(process_input).
% 1.70/1.89 dependent: clear(print_kept).
% 1.70/1.89 dependent: clear(print_new_demod).
% 1.70/1.89 dependent: clear(print_back_demod).
% 1.70/1.89 dependent: clear(print_back_sub).
% 1.70/1.89 dependent: set(control_memory).
% 1.70/1.89 dependent: assign(max_mem, 12000).
% 1.70/1.89 dependent: assign(pick_given_ratio, 4).
% 1.70/1.89 dependent: assign(stats_level, 1).
% 1.70/1.89 dependent: assign(max_seconds, 10800).
% 1.70/1.89 clear(print_given).
% 1.70/1.89
% 1.70/1.89 formula_list(usable).
% 1.70/1.89 all X (-distinct_points(X,X)).
% 1.70/1.89 all X (-distinct_lines(X,X)).
% 1.70/1.89 all X (-convergent_lines(X,X)).
% 1.70/1.89 all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 1.70/1.89 all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 1.70/1.89 all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 1.70/1.89 all X Y (distinct_points(X,Y)-> -apart_point_and_line(X,line_connecting(X,Y))).
% 1.70/1.89 all X Y (distinct_points(X,Y)-> -apart_point_and_line(Y,line_connecting(X,Y))).
% 1.70/1.89 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),X)).
% 1.70/1.89 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),Y)).
% 1.70/1.89 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)).
% 1.70/1.89 all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 1.70/1.89 all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 1.70/1.89 all X Y Z (convergent_lines(X,Y)->distinct_lines(Y,Z)|convergent_lines(X,Z)).
% 1.70/1.89 -(all X Y (convergent_lines(X,Y)->distinct_lines(X,Y))).
% 1.70/1.89 end_of_list.
% 1.70/1.89
% 1.70/1.89 -------> usable clausifies to:
% 1.70/1.89
% 1.70/1.89 list(usable).
% 1.70/1.89 0 [] -distinct_points(X,X).
% 1.70/1.89 0 [] -distinct_lines(X,X).
% 1.70/1.89 0 [] -convergent_lines(X,X).
% 1.70/1.89 0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 1.70/1.89 0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 1.70/1.89 0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 1.70/1.89 0 [] -distinct_points(X,Y)| -apart_point_and_line(X,line_connecting(X,Y)).
% 1.70/1.89 0 [] -distinct_points(X,Y)| -apart_point_and_line(Y,line_connecting(X,Y)).
% 1.70/1.89 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),X).
% 1.70/1.89 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),Y).
% 1.70/1.89 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).
% 1.70/1.89 0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 1.70/1.89 0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 1.70/1.89 0 [] -convergent_lines(X,Y)|distinct_lines(Y,Z)|convergent_lines(X,Z).
% 1.70/1.89 0 [] convergent_lines($c2,$c1).
% 1.70/1.89 0 [] -distinct_lines($c2,$c1).
% 1.70/1.89 end_of_list.
% 1.70/1.89
% 1.70/1.89 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.70/1.89
% 1.70/1.89 This is a non-Horn set without equality. The strategy will
% 1.70/1.89 be ordered hyper_res, unit deletion, and factoring, with
% 1.70/1.89 satellites in sos and with nuclei in usable.
% 1.70/1.89
% 1.70/1.89 dependent: set(hyper_res).
% 1.70/1.89 dependent: set(factor).
% 1.70/1.89 dependent: set(unit_deletion).
% 1.70/1.89
% 1.70/1.89 ------------> process usable:
% 1.70/1.89 ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 1.70/1.89 ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 1.70/1.89 ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 1.70/1.89 ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.70/1.89 ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 1.70/1.89 ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 1.70/1.89 ** KEPT (pick-wt=8): 7 [] -distinct_points(A,B)| -apart_point_and_line(A,line_connecting(A,B)).
% 1.70/1.89 ** KEPT (pick-wt=8): 8 [] -distinct_points(A,B)| -apart_point_and_line(B,line_connecting(A,B)).
% 1.70/1.89 ** KEPT (pick-wt=8): 9 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),A).
% 1.70/1.89 ** KEPT (pick-wt=8): 10 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),B).
% 1.70/1.89 ** 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).
% 1.70/1.89 ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 1.70/1.89 ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 1.70/1.89 ** KEPT (pick-wt=9): 14 [] -convergent_lines(A,B)|distinct_lines(B,C)|convergent_lines(A,C).
% 1.70/1.89 ** KEPT (pick-wt=3): 15 [] -distinct_lines($c2,$c1).
% 1.70/1.89
% 1.70/1.89 ------------> process sos:
% 1.70/1.89 ** KEPT (pick-wt=3): 16 [] convergent_lines($c2,$c1).
% 1.70/1.89
% 1.70/1.89 ======= end of input processing =======
% 1.70/1.89
% 1.70/1.89 =========== start of search ===========
% 1.70/1.89
% 1.70/1.89 -------- PROOF --------
% 1.70/1.89
% 1.70/1.89 ----> UNIT CONFLICT at 0.00 sec ----> 27 [binary,26.1,3.1] $F.
% 1.70/1.89
% 1.70/1.89 Length of proof is 4. Level of proof is 4.
% 1.70/1.89
% 1.70/1.89 ---------------- PROOF ----------------
% 1.70/1.89 % SZS status Theorem
% 1.70/1.89 % SZS output start Refutation
% See solution above
% 1.70/1.89 ------------ end of proof -------------
% 1.70/1.89
% 1.70/1.89
% 1.70/1.89 Search stopped by max_proofs option.
% 1.70/1.89
% 1.70/1.89
% 1.70/1.89 Search stopped by max_proofs option.
% 1.70/1.89
% 1.70/1.89 ============ end of search ============
% 1.70/1.89
% 1.70/1.89 -------------- statistics -------------
% 1.70/1.89 clauses given 5
% 1.70/1.89 clauses generated 27
% 1.70/1.89 clauses kept 26
% 1.70/1.89 clauses forward subsumed 17
% 1.70/1.89 clauses back subsumed 0
% 1.70/1.89 Kbytes malloced 976
% 1.70/1.89
% 1.70/1.89 ----------- times (seconds) -----------
% 1.70/1.89 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.70/1.89 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.70/1.89 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.70/1.89
% 1.70/1.89 That finishes the proof of the theorem.
% 1.70/1.89
% 1.70/1.89 Process 24563 finished Wed Jul 27 07:02:54 2022
% 1.70/1.89 Otter interrupted
% 1.70/1.89 PROOF FOUND
%------------------------------------------------------------------------------