TSTP Solution File: GEO205+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO205+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.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 62.04s 62.23s
% Output : Refutation 62.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of clauses : 39 ( 10 unt; 26 nHn; 16 RR)
% Number of literals : 97 ( 0 equ; 12 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 : 57 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ convergent_lines(A,A),
file('GEO205+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
file('GEO205+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(intersection_point(A,B),A) ),
file('GEO205+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(intersection_point(A,B),B) ),
file('GEO205+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('GEO205+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ apart_point_and_line(A,B)
| distinct_lines(B,C)
| apart_point_and_line(A,C) ),
file('GEO205+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(A,B)
| distinct_lines(B,C)
| convergent_lines(A,C) ),
file('GEO205+1.p',unknown),
[] ).
cnf(15,axiom,
~ distinct_lines(dollar_c2,dollar_c1),
file('GEO205+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ convergent_lines(dollar_c3,dollar_c1)
| distinct_points(intersection_point(dollar_c3,dollar_c2),intersection_point(dollar_c3,dollar_c1)) ),
file('GEO205+1.p',unknown),
[] ).
cnf(17,axiom,
convergent_lines(dollar_c3,dollar_c2),
file('GEO205+1.p',unknown),
[] ).
cnf(18,plain,
( distinct_lines(dollar_c2,A)
| convergent_lines(dollar_c3,A) ),
inference(hyper,[status(thm)],[17,14]),
[iquote('hyper,17,14')] ).
cnf(19,plain,
( convergent_lines(dollar_c3,A)
| convergent_lines(dollar_c2,A) ),
inference(hyper,[status(thm)],[17,6]),
[iquote('hyper,17,6')] ).
cnf(20,plain,
convergent_lines(dollar_c3,dollar_c1),
inference(hyper,[status(thm)],[18,15]),
[iquote('hyper,18,15')] ).
cnf(22,plain,
distinct_points(intersection_point(dollar_c3,dollar_c2),intersection_point(dollar_c3,dollar_c1)),
inference(hyper,[status(thm)],[20,16]),
[iquote('hyper,20,16')] ).
cnf(24,plain,
( convergent_lines(dollar_c3,A)
| convergent_lines(dollar_c1,A) ),
inference(hyper,[status(thm)],[20,6]),
[iquote('hyper,20,6')] ).
cnf(26,plain,
( convergent_lines(dollar_c2,A)
| convergent_lines(dollar_c3,B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[19,6]),
[iquote('hyper,19,6')] ).
cnf(37,plain,
( convergent_lines(dollar_c1,A)
| convergent_lines(dollar_c3,B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[24,6]),
[iquote('hyper,24,6')] ).
cnf(57,plain,
( convergent_lines(dollar_c2,A)
| convergent_lines(A,dollar_c3) ),
inference(hyper,[status(thm)],[26,3]),
[iquote('hyper,26,3')] ).
cnf(59,plain,
( convergent_lines(dollar_c2,A)
| convergent_lines(dollar_c3,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
inference(hyper,[status(thm)],[26,6]),
[iquote('hyper,26,6')] ).
cnf(62,plain,
( convergent_lines(A,dollar_c3)
| convergent_lines(dollar_c2,B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[57,6]),
[iquote('hyper,57,6')] ).
cnf(63,plain,
( convergent_lines(dollar_c2,A)
| distinct_lines(dollar_c3,B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[57,14]),
[iquote('hyper,57,14')] ).
cnf(64,plain,
distinct_lines(dollar_c3,dollar_c2),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[63]),3]),
[iquote('factor,63.1.3,unit_del,3')] ).
cnf(65,plain,
( apart_point_and_line(intersection_point(dollar_c3,dollar_c2),dollar_c3)
| apart_point_and_line(intersection_point(dollar_c3,dollar_c2),dollar_c2)
| apart_point_and_line(intersection_point(dollar_c3,dollar_c1),dollar_c3)
| apart_point_and_line(intersection_point(dollar_c3,dollar_c1),dollar_c2) ),
inference(hyper,[status(thm)],[64,11,22]),
[iquote('hyper,64,11,22')] ).
cnf(98,plain,
( convergent_lines(dollar_c1,A)
| convergent_lines(A,dollar_c3) ),
inference(hyper,[status(thm)],[37,3]),
[iquote('hyper,37,3')] ).
cnf(112,plain,
( convergent_lines(A,dollar_c3)
| convergent_lines(dollar_c1,B)
| convergent_lines(A,B) ),
inference(hyper,[status(thm)],[98,6]),
[iquote('hyper,98,6')] ).
cnf(139,plain,
( convergent_lines(A,dollar_c3)
| convergent_lines(A,B)
| convergent_lines(dollar_c2,C)
| convergent_lines(B,C) ),
inference(hyper,[status(thm)],[62,6]),
[iquote('hyper,62,6')] ).
cnf(199,plain,
( convergent_lines(A,dollar_c3)
| convergent_lines(A,B)
| convergent_lines(dollar_c1,C)
| convergent_lines(B,C) ),
inference(hyper,[status(thm)],[112,6]),
[iquote('hyper,112,6')] ).
cnf(439,plain,
( convergent_lines(dollar_c2,A)
| convergent_lines(dollar_c3,B)
| convergent_lines(B,C)
| convergent_lines(A,D)
| convergent_lines(C,D) ),
inference(hyper,[status(thm)],[59,6]),
[iquote('hyper,59,6')] ).
cnf(442,plain,
( convergent_lines(dollar_c3,A)
| convergent_lines(A,B)
| convergent_lines(B,dollar_c2) ),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[439]),3]),
[iquote('factor,439.1.4,unit_del,3')] ).
cnf(461,plain,
( apart_point_and_line(intersection_point(dollar_c3,dollar_c2),dollar_c2)
| apart_point_and_line(intersection_point(dollar_c3,dollar_c1),dollar_c3)
| apart_point_and_line(intersection_point(dollar_c3,dollar_c1),dollar_c2) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[65,9,442]),3,3]),
[iquote('hyper,65,9,442,unit_del,3,3')] ).
cnf(734,plain,
( convergent_lines(A,dollar_c3)
| convergent_lines(A,B)
| convergent_lines(B,dollar_c2) ),
inference(hyper,[status(thm)],[139,3]),
[iquote('hyper,139,3')] ).
cnf(997,plain,
( convergent_lines(A,dollar_c3)
| convergent_lines(A,B)
| convergent_lines(B,dollar_c1) ),
inference(hyper,[status(thm)],[199,3]),
[iquote('hyper,199,3')] ).
cnf(1003,plain,
( convergent_lines(A,dollar_c3)
| convergent_lines(B,dollar_c1)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
inference(hyper,[status(thm)],[997,6]),
[iquote('hyper,997,6')] ).
cnf(4493,plain,
( apart_point_and_line(intersection_point(dollar_c3,dollar_c1),dollar_c3)
| apart_point_and_line(intersection_point(dollar_c3,dollar_c1),dollar_c2) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[461,10,734]),3,3]),
[iquote('hyper,461,10,734,unit_del,3,3')] ).
cnf(4503,plain,
apart_point_and_line(intersection_point(dollar_c3,dollar_c1),dollar_c2),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4493,9,997]),3,3]),
[iquote('hyper,4493,9,997,unit_del,3,3')] ).
cnf(4506,plain,
( distinct_lines(dollar_c2,A)
| apart_point_and_line(intersection_point(dollar_c3,dollar_c1),A) ),
inference(hyper,[status(thm)],[4503,13]),
[iquote('hyper,4503,13')] ).
cnf(4508,plain,
apart_point_and_line(intersection_point(dollar_c3,dollar_c1),dollar_c1),
inference(hyper,[status(thm)],[4506,15]),
[iquote('hyper,4506,15')] ).
cnf(4513,plain,
convergent_lines(A,dollar_c1),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4508,10,1003]),3])]),
[iquote('hyper,4508,10,1003,unit_del,3,factor_simp')] ).
cnf(4514,plain,
$false,
inference(binary,[status(thm)],[4513,3]),
[iquote('binary,4513.1,3.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO205+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n007.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 07:09:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.67/1.89 ----- Otter 3.3f, August 2004 -----
% 1.67/1.89 The process was started by sandbox2 on n007.cluster.edu,
% 1.67/1.89 Wed Jul 27 07:09:16 2022
% 1.67/1.89 The command was "./otter". The process ID is 5442.
% 1.67/1.89
% 1.67/1.89 set(prolog_style_variables).
% 1.67/1.89 set(auto).
% 1.67/1.89 dependent: set(auto1).
% 1.67/1.89 dependent: set(process_input).
% 1.67/1.89 dependent: clear(print_kept).
% 1.67/1.89 dependent: clear(print_new_demod).
% 1.67/1.89 dependent: clear(print_back_demod).
% 1.67/1.89 dependent: clear(print_back_sub).
% 1.67/1.89 dependent: set(control_memory).
% 1.67/1.89 dependent: assign(max_mem, 12000).
% 1.67/1.89 dependent: assign(pick_given_ratio, 4).
% 1.67/1.89 dependent: assign(stats_level, 1).
% 1.67/1.89 dependent: assign(max_seconds, 10800).
% 1.67/1.89 clear(print_given).
% 1.67/1.89
% 1.67/1.89 formula_list(usable).
% 1.67/1.89 all X (-distinct_points(X,X)).
% 1.67/1.89 all X (-distinct_lines(X,X)).
% 1.67/1.89 all X (-convergent_lines(X,X)).
% 1.67/1.89 all X Y Z (distinct_points(X,Y)->distinct_points(X,Z)|distinct_points(Y,Z)).
% 1.67/1.89 all X Y Z (distinct_lines(X,Y)->distinct_lines(X,Z)|distinct_lines(Y,Z)).
% 1.67/1.89 all X Y Z (convergent_lines(X,Y)->convergent_lines(X,Z)|convergent_lines(Y,Z)).
% 1.67/1.89 all X Y (distinct_points(X,Y)-> -apart_point_and_line(X,line_connecting(X,Y))).
% 1.67/1.89 all X Y (distinct_points(X,Y)-> -apart_point_and_line(Y,line_connecting(X,Y))).
% 1.67/1.89 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),X)).
% 1.67/1.89 all X Y (convergent_lines(X,Y)-> -apart_point_and_line(intersection_point(X,Y),Y)).
% 1.67/1.89 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)).
% 1.67/1.89 all X Y Z (apart_point_and_line(X,Y)->distinct_points(X,Z)|apart_point_and_line(Z,Y)).
% 1.67/1.89 all X Y Z (apart_point_and_line(X,Y)->distinct_lines(Y,Z)|apart_point_and_line(X,Z)).
% 1.67/1.89 all X Y Z (convergent_lines(X,Y)->distinct_lines(Y,Z)|convergent_lines(X,Z)).
% 1.67/1.89 -(all X Y Z (convergent_lines(X,Y)& -distinct_lines(Y,Z)->convergent_lines(X,Z)& -distinct_points(intersection_point(X,Y),intersection_point(X,Z)))).
% 1.67/1.89 end_of_list.
% 1.67/1.89
% 1.67/1.89 -------> usable clausifies to:
% 1.67/1.89
% 1.67/1.89 list(usable).
% 1.67/1.89 0 [] -distinct_points(X,X).
% 1.67/1.89 0 [] -distinct_lines(X,X).
% 1.67/1.89 0 [] -convergent_lines(X,X).
% 1.67/1.89 0 [] -distinct_points(X,Y)|distinct_points(X,Z)|distinct_points(Y,Z).
% 1.67/1.89 0 [] -distinct_lines(X,Y)|distinct_lines(X,Z)|distinct_lines(Y,Z).
% 1.67/1.89 0 [] -convergent_lines(X,Y)|convergent_lines(X,Z)|convergent_lines(Y,Z).
% 1.67/1.89 0 [] -distinct_points(X,Y)| -apart_point_and_line(X,line_connecting(X,Y)).
% 1.67/1.89 0 [] -distinct_points(X,Y)| -apart_point_and_line(Y,line_connecting(X,Y)).
% 1.67/1.89 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),X).
% 1.67/1.89 0 [] -convergent_lines(X,Y)| -apart_point_and_line(intersection_point(X,Y),Y).
% 1.67/1.89 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).
% 1.67/1.89 0 [] -apart_point_and_line(X,Y)|distinct_points(X,Z)|apart_point_and_line(Z,Y).
% 1.67/1.89 0 [] -apart_point_and_line(X,Y)|distinct_lines(Y,Z)|apart_point_and_line(X,Z).
% 1.67/1.89 0 [] -convergent_lines(X,Y)|distinct_lines(Y,Z)|convergent_lines(X,Z).
% 1.67/1.89 0 [] convergent_lines($c3,$c2).
% 1.67/1.89 0 [] -distinct_lines($c2,$c1).
% 1.67/1.89 0 [] -convergent_lines($c3,$c1)|distinct_points(intersection_point($c3,$c2),intersection_point($c3,$c1)).
% 1.67/1.89 end_of_list.
% 1.67/1.89
% 1.67/1.89 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.67/1.89
% 1.67/1.89 This is a non-Horn set without equality. The strategy will
% 1.67/1.89 be ordered hyper_res, unit deletion, and factoring, with
% 1.67/1.89 satellites in sos and with nuclei in usable.
% 1.67/1.89
% 1.67/1.89 dependent: set(hyper_res).
% 1.67/1.89 dependent: set(factor).
% 1.67/1.89 dependent: set(unit_deletion).
% 1.67/1.89
% 1.67/1.89 ------------> process usable:
% 1.67/1.89 ** KEPT (pick-wt=3): 1 [] -distinct_points(A,A).
% 1.67/1.89 ** KEPT (pick-wt=3): 2 [] -distinct_lines(A,A).
% 1.67/1.89 ** KEPT (pick-wt=3): 3 [] -convergent_lines(A,A).
% 1.67/1.89 ** KEPT (pick-wt=9): 4 [] -distinct_points(A,B)|distinct_points(A,C)|distinct_points(B,C).
% 1.67/1.89 ** KEPT (pick-wt=9): 5 [] -distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C).
% 1.67/1.89 ** KEPT (pick-wt=9): 6 [] -convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 1.67/1.89 ** KEPT (pick-wt=8): 7 [] -distinct_points(A,B)| -apart_point_and_line(A,line_connecting(A,B)).
% 1.67/1.89 ** KEPT (pick-wt=8): 8 [] -distinct_points(A,B)| -apart_point_and_line(B,line_connecting(A,B)).
% 1.67/1.89 ** KEPT (pick-wt=8): 9 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),A).
% 62.04/62.23 ** KEPT (pick-wt=8): 10 [] -convergent_lines(A,B)| -apart_point_and_line(intersection_point(A,B),B).
% 62.04/62.23 ** 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).
% 62.04/62.23 ** KEPT (pick-wt=9): 12 [] -apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B).
% 62.04/62.23 ** KEPT (pick-wt=9): 13 [] -apart_point_and_line(A,B)|distinct_lines(B,C)|apart_point_and_line(A,C).
% 62.04/62.23 ** KEPT (pick-wt=9): 14 [] -convergent_lines(A,B)|distinct_lines(B,C)|convergent_lines(A,C).
% 62.04/62.23 ** KEPT (pick-wt=3): 15 [] -distinct_lines($c2,$c1).
% 62.04/62.23 ** KEPT (pick-wt=10): 16 [] -convergent_lines($c3,$c1)|distinct_points(intersection_point($c3,$c2),intersection_point($c3,$c1)).
% 62.04/62.23
% 62.04/62.23 ------------> process sos:
% 62.04/62.23 ** KEPT (pick-wt=3): 17 [] convergent_lines($c3,$c2).
% 62.04/62.23
% 62.04/62.23 ======= end of input processing =======
% 62.04/62.23
% 62.04/62.23 =========== start of search ===========
% 62.04/62.23
% 62.04/62.23
% 62.04/62.23 Resetting weight limit to 15.
% 62.04/62.23
% 62.04/62.23
% 62.04/62.23 Resetting weight limit to 15.
% 62.04/62.23
% 62.04/62.23 sos_size=4034
% 62.04/62.23
% 62.04/62.23 -- HEY sandbox2, WE HAVE A PROOF!! --
% 62.04/62.23
% 62.04/62.23 ----> UNIT CONFLICT at 60.34 sec ----> 4514 [binary,4513.1,3.1] $F.
% 62.04/62.23
% 62.04/62.23 Length of proof is 28. Level of proof is 12.
% 62.04/62.23
% 62.04/62.23 ---------------- PROOF ----------------
% 62.04/62.23 % SZS status Theorem
% 62.04/62.23 % SZS output start Refutation
% See solution above
% 62.04/62.23 ------------ end of proof -------------
% 62.04/62.23
% 62.04/62.23
% 62.04/62.23 Search stopped by max_proofs option.
% 62.04/62.23
% 62.04/62.23
% 62.04/62.23 Search stopped by max_proofs option.
% 62.04/62.23
% 62.04/62.23 ============ end of search ============
% 62.04/62.23
% 62.04/62.23 -------------- statistics -------------
% 62.04/62.23 clauses given 400
% 62.04/62.23 clauses generated 61370
% 62.04/62.23 clauses kept 4513
% 62.04/62.23 clauses forward subsumed 45827
% 62.04/62.23 clauses back subsumed 947
% 62.04/62.23 Kbytes malloced 4882
% 62.04/62.23
% 62.04/62.23 ----------- times (seconds) -----------
% 62.04/62.23 user CPU time 60.34 (0 hr, 1 min, 0 sec)
% 62.04/62.23 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 62.04/62.23 wall-clock time 62 (0 hr, 1 min, 2 sec)
% 62.04/62.23
% 62.04/62.23 That finishes the proof of the theorem.
% 62.04/62.23
% 62.04/62.23 Process 5442 finished Wed Jul 27 07:10:18 2022
% 62.04/62.23 Otter interrupted
% 62.04/62.23 PROOF FOUND
%------------------------------------------------------------------------------