TSTP Solution File: GEO172+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO172+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 12:54:35 EDT 2022
% Result : Theorem 2.13s 2.31s
% Output : Refutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 8 unt; 11 nHn; 12 RR)
% Number of literals : 44 ( 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 : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ convergent_lines(A,A),
file('GEO172+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
file('GEO172+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(intersection_point(A,B),A) ),
file('GEO172+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(intersection_point(A,B),B) ),
file('GEO172+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('GEO172+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(A,B)
| distinct_lines(B,C)
| convergent_lines(A,C) ),
file('GEO172+1.p',unknown),
[] ).
cnf(15,axiom,
~ apart_point_and_line(dollar_c1,dollar_c3),
file('GEO172+1.p',unknown),
[] ).
cnf(16,axiom,
~ apart_point_and_line(dollar_c1,dollar_c2),
file('GEO172+1.p',unknown),
[] ).
cnf(17,axiom,
convergent_lines(dollar_c3,dollar_c2),
file('GEO172+1.p',unknown),
[] ).
cnf(18,axiom,
distinct_points(dollar_c1,intersection_point(dollar_c3,dollar_c2)),
file('GEO172+1.p',unknown),
[] ).
cnf(19,plain,
( distinct_lines(dollar_c2,A)
| convergent_lines(dollar_c3,A) ),
inference(hyper,[status(thm)],[17,14]),
[iquote('hyper,17,14')] ).
cnf(20,plain,
( convergent_lines(dollar_c3,A)
| convergent_lines(dollar_c2,A) ),
inference(hyper,[status(thm)],[17,6]),
[iquote('hyper,17,6')] ).
cnf(22,plain,
( convergent_lines(dollar_c3,A)
| apart_point_and_line(dollar_c1,A)
| apart_point_and_line(intersection_point(dollar_c3,dollar_c2),dollar_c2)
| apart_point_and_line(intersection_point(dollar_c3,dollar_c2),A) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[19,11,18]),16]),
[iquote('hyper,19,11,18,unit_del,16')] ).
cnf(25,plain,
( convergent_lines(dollar_c2,A)
| convergent_lines(dollar_c3,B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[20,6]),
[iquote('hyper,20,6')] ).
cnf(50,plain,
( apart_point_and_line(intersection_point(dollar_c3,dollar_c2),dollar_c2)
| apart_point_and_line(intersection_point(dollar_c3,dollar_c2),dollar_c3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[22,3]),15]),
[iquote('hyper,22,3,unit_del,15')] ).
cnf(59,plain,
( convergent_lines(dollar_c2,A)
| convergent_lines(A,dollar_c3) ),
inference(hyper,[status(thm)],[25,3]),
[iquote('hyper,25,3')] ).
cnf(64,plain,
( convergent_lines(A,dollar_c3)
| convergent_lines(dollar_c2,B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[59,6]),
[iquote('hyper,59,6')] ).
cnf(120,plain,
( convergent_lines(A,dollar_c3)
| convergent_lines(A,dollar_c2) ),
inference(hyper,[status(thm)],[64,3]),
[iquote('hyper,64,3')] ).
cnf(447,plain,
apart_point_and_line(intersection_point(dollar_c3,dollar_c2),dollar_c3),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[50,10,120]),3]),
[iquote('hyper,50,10,120,unit_del,3')] ).
cnf(453,plain,
convergent_lines(dollar_c3,dollar_c3),
inference(hyper,[status(thm)],[447,9,120]),
[iquote('hyper,447,9,120')] ).
cnf(454,plain,
$false,
inference(binary,[status(thm)],[453,3]),
[iquote('binary,453.1,3.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO172+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n024.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 07:08:25 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.78/1.97 ----- Otter 3.3f, August 2004 -----
% 1.78/1.97 The process was started by sandbox on n024.cluster.edu,
% 1.78/1.97 Wed Jul 27 07:08:25 2022
% 1.78/1.97 The command was "./otter". The process ID is 32536.
% 1.78/1.97
% 1.78/1.97 set(prolog_style_variables).
% 1.78/1.97 set(auto).
% 1.78/1.97 dependent: set(auto1).
% 1.78/1.97 dependent: set(process_input).
% 1.78/1.97 dependent: clear(print_kept).
% 1.78/1.97 dependent: clear(print_new_demod).
% 1.78/1.97 dependent: clear(print_back_demod).
% 1.78/1.97 dependent: clear(print_back_sub).
% 1.78/1.97 dependent: set(control_memory).
% 1.78/1.97 dependent: assign(max_mem, 12000).
% 1.78/1.97 dependent: assign(pick_given_ratio, 4).
% 1.78/1.97 dependent: assign(stats_level, 1).
% 1.78/1.97 dependent: assign(max_seconds, 10800).
% 1.78/1.97 clear(print_given).
% 1.78/1.97
% 1.78/1.97 formula_list(usable).
% 1.78/1.97 all X (-distinct_points(X,X)).
% 1.78/1.97 all X (-distinct_lines(X,X)).
% 1.78/1.97 all X (-convergent_lines(X,X)).
% 1.78/1.97 all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 1.78/1.97 all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 1.78/1.97 all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 1.78/1.97 all X Y (distinct_points(X,Y)-> -apart_point_and_line(X,line_connecting(X,Y))).
% 1.78/1.97 all X Y (distinct_points(X,Y)-> -apart_point_and_line(Y,line_connecting(X,Y))).
% 1.78/1.97 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),X)).
% 1.78/1.97 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),Y)).
% 1.78/1.97 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)).
% 1.78/1.97 all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 1.78/1.97 all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 1.78/1.97 all X Y Z (convergent_lines(X,Y)->distinct_lines(Y,Z)|convergent_lines(X,Z)).
% 1.78/1.97 -(all X Y Z (convergent_lines(X,Y)& -apart_point_and_line(Z,X)& -apart_point_and_line(Z,Y)-> -distinct_points(Z,intersection_point(X,Y)))).
% 1.78/1.97 end_of_list.
% 1.78/1.97
% 1.78/1.97 -------> usable clausifies to:
% 1.78/1.97
% 1.78/1.97 list(usable).
% 1.78/1.97 0 [] -distinct_points(X,X).
% 1.78/1.97 0 [] -distinct_lines(X,X).
% 1.78/1.97 0 [] -convergent_lines(X,X).
% 1.78/1.97 0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 1.78/1.97 0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 1.78/1.97 0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 1.78/1.97 0 [] -distinct_points(X,Y)| -apart_point_and_line(X,line_connecting(X,Y)).
% 1.78/1.97 0 [] -distinct_points(X,Y)| -apart_point_and_line(Y,line_connecting(X,Y)).
% 1.78/1.97 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),X).
% 1.78/1.97 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),Y).
% 1.78/1.97 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).
% 1.78/1.97 0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 1.78/1.97 0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 1.78/1.97 0 [] -convergent_lines(X,Y)|distinct_lines(Y,Z)|convergent_lines(X,Z).
% 1.78/1.97 0 [] convergent_lines($c3,$c2).
% 1.78/1.97 0 [] -apart_point_and_line($c1,$c3).
% 1.78/1.97 0 [] -apart_point_and_line($c1,$c2).
% 1.78/1.97 0 [] distinct_points($c1,intersection_point($c3,$c2)).
% 1.78/1.97 end_of_list.
% 1.78/1.97
% 1.78/1.97 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.78/1.97
% 1.78/1.97 This is a non-Horn set without equality. The strategy will
% 1.78/1.97 be ordered hyper_res, unit deletion, and factoring, with
% 1.78/1.97 satellites in sos and with nuclei in usable.
% 1.78/1.97
% 1.78/1.97 dependent: set(hyper_res).
% 1.78/1.97 dependent: set(factor).
% 1.78/1.97 dependent: set(unit_deletion).
% 1.78/1.97
% 1.78/1.97 ------------> process usable:
% 1.78/1.97 ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 1.78/1.97 ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 1.78/1.97 ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 1.78/1.97 ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.78/1.97 ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 1.78/1.97 ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 1.78/1.97 ** KEPT (pick-wt=8): 7 [] -distinct_points(A,B)| -apart_point_and_line(A,line_connecting(A,B)).
% 1.78/1.97 ** KEPT (pick-wt=8): 8 [] -distinct_points(A,B)| -apart_point_and_line(B,line_connecting(A,B)).
% 1.78/1.97 ** KEPT (pick-wt=8): 9 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),A).
% 2.13/2.31 ** KEPT (pick-wt=8): 10 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),B).
% 2.13/2.31 ** 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).
% 2.13/2.31 ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 2.13/2.31 ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 2.13/2.31 ** KEPT (pick-wt=9): 14 [] -convergent_lines(A,B)|distinct_lines(B,C)|convergent_lines(A,C).
% 2.13/2.31 ** KEPT (pick-wt=3): 15 [] -apart_point_and_line($c1,$c3).
% 2.13/2.31 ** KEPT (pick-wt=3): 16 [] -apart_point_and_line($c1,$c2).
% 2.13/2.31
% 2.13/2.31 ------------> process sos:
% 2.13/2.31 ** KEPT (pick-wt=3): 17 [] convergent_lines($c3,$c2).
% 2.13/2.31 ** KEPT (pick-wt=5): 18 [] distinct_points($c1,intersection_point($c3,$c2)).
% 2.13/2.31
% 2.13/2.31 ======= end of input processing =======
% 2.13/2.31
% 2.13/2.31 =========== start of search ===========
% 2.13/2.31
% 2.13/2.31 -------- PROOF --------
% 2.13/2.31
% 2.13/2.31 ----> UNIT CONFLICT at 0.34 sec ----> 454 [binary,453.1,3.1] $F.
% 2.13/2.31
% 2.13/2.31 Length of proof is 10. Level of proof is 7.
% 2.13/2.31
% 2.13/2.31 ---------------- PROOF ----------------
% 2.13/2.31 % SZS status Theorem
% 2.13/2.31 % SZS output start Refutation
% See solution above
% 2.13/2.31 ------------ end of proof -------------
% 2.13/2.31
% 2.13/2.31
% 2.13/2.31 Search stopped by max_proofs option.
% 2.13/2.31
% 2.13/2.31
% 2.13/2.31 Search stopped by max_proofs option.
% 2.13/2.31
% 2.13/2.31 ============ end of search ============
% 2.13/2.31
% 2.13/2.31 -------------- statistics -------------
% 2.13/2.31 clauses given 48
% 2.13/2.31 clauses generated 3602
% 2.13/2.31 clauses kept 453
% 2.13/2.31 clauses forward subsumed 3167
% 2.13/2.31 clauses back subsumed 160
% 2.13/2.31 Kbytes malloced 976
% 2.13/2.31
% 2.13/2.31 ----------- times (seconds) -----------
% 2.13/2.31 user CPU time 0.34 (0 hr, 0 min, 0 sec)
% 2.13/2.31 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.13/2.31 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.13/2.31
% 2.13/2.31 That finishes the proof of the theorem.
% 2.13/2.31
% 2.13/2.31 Process 32536 finished Wed Jul 27 07:08:27 2022
% 2.13/2.31 Otter interrupted
% 2.13/2.31 PROOF FOUND
%------------------------------------------------------------------------------