TSTP Solution File: GEO011-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO011-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n014.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 12:54:06 EDT 2022
% Result : Unsatisfiable 121.04s 121.25s
% Output : Refutation 121.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 29 ( 16 unt; 4 nHn; 17 RR)
% Number of literals : 48 ( 5 equ; 21 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 53 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ between(A,B,A)
| A = B ),
file('GEO011-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ e_quidistant(A,B,C,C)
| A = B ),
file('GEO011-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ between(A,B,C)
| ~ between(D,C,E)
| between(A,outer_pasch(B,A,D,E,C),D) ),
file('GEO011-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ between(A,B,C)
| ~ between(D,C,E)
| between(E,B,outer_pasch(B,A,D,E,C)) ),
file('GEO011-1.p',unknown),
[] ).
cnf(12,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('GEO011-1.p',unknown),
[] ).
cnf(13,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('GEO011-1.p',unknown),
[] ).
cnf(14,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('GEO011-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ colinear(A,B,C)
| between(A,B,C)
| between(B,A,C)
| between(A,C,B) ),
file('GEO011-1.p',unknown),
[] ).
cnf(48,axiom,
between(A,B,extension(A,B,C,D)),
file('GEO011-1.p',unknown),
[] ).
cnf(49,axiom,
e_quidistant(A,extension(B,A,C,D),C,D),
file('GEO011-1.p',unknown),
[] ).
cnf(50,axiom,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('GEO011-1.p',unknown),
[] ).
cnf(51,plain,
( between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[50,18]),12]),
[iquote('hyper,50,18,unit_del,12')] ).
cnf(151,plain,
extension(A,B,C,C) = B,
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[49,4])]),
[iquote('hyper,49,4,flip.1')] ).
cnf(200,plain,
( A = B
| ~ between(B,A,B) ),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[151,1]),151,151]),
[iquote('para_into,150.1.1,1.2.1,demod,151,151')] ).
cnf(202,plain,
between(A,B,B),
inference(para_from,[status(thm),theory(equality)],[151,48]),
[iquote('para_from,150.1.1,48.1.3')] ).
cnf(233,plain,
between(A,A,outer_pasch(A,B,C,A,A)),
inference(hyper,[status(thm)],[202,7,202]),
[iquote('hyper,202,7,202')] ).
cnf(236,plain,
between(A,outer_pasch(B,A,C,B,B),C),
inference(hyper,[status(thm)],[202,6,202]),
[iquote('hyper,202,6,202')] ).
cnf(260,plain,
( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_3,lower_dimension_point_1,outer_pasch(lower_dimension_point_1,A,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)) ),
inference(hyper,[status(thm)],[51,7,202]),
[iquote('hyper,51,7,202')] ).
cnf(263,plain,
( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(A,outer_pasch(lower_dimension_point_1,A,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),lower_dimension_point_2) ),
inference(hyper,[status(thm)],[51,6,202]),
[iquote('hyper,51,6,202')] ).
cnf(419,plain,
( ~ between(lower_dimension_point_3,A,lower_dimension_point_2)
| ~ between(A,lower_dimension_point_1,A) ),
inference(para_from,[status(thm),theory(equality)],[200,14]),
[iquote('para_from,200.1.1,14.1.2')] ).
cnf(420,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_3,A)
| ~ between(A,lower_dimension_point_1,A) ),
inference(para_from,[status(thm),theory(equality)],[200,13]),
[iquote('para_from,200.1.1,13.1.3')] ).
cnf(2036,plain,
( ~ between(lower_dimension_point_3,A,B)
| ~ between(A,lower_dimension_point_1,A)
| ~ between(lower_dimension_point_2,B,lower_dimension_point_2) ),
inference(para_into,[status(thm),theory(equality)],[419,1]),
[iquote('para_into,419.1.3,1.2.1')] ).
cnf(2044,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_3,A)
| ~ between(A,B,A)
| ~ between(lower_dimension_point_1,B,lower_dimension_point_1) ),
inference(para_into,[status(thm),theory(equality)],[420,1]),
[iquote('para_into,420.2.2,1.2.1')] ).
cnf(2569,plain,
outer_pasch(A,B,B,A,A) = B,
inference(hyper,[status(thm)],[236,200]),
[iquote('hyper,236,200')] ).
cnf(2578,plain,
between(A,A,B),
inference(para_from,[status(thm),theory(equality)],[2569,233]),
[iquote('para_from,2569.1.1,233.1.3')] ).
cnf(2647,plain,
between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[263,2036,260,2578])]),
[iquote('hyper,263,2036,260,2578,factor_simp')] ).
cnf(2678,plain,
between(lower_dimension_point_2,lower_dimension_point_3,outer_pasch(lower_dimension_point_3,A,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)),
inference(hyper,[status(thm)],[2647,7,202]),
[iquote('hyper,2647,7,202')] ).
cnf(2682,plain,
between(A,outer_pasch(lower_dimension_point_3,A,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),lower_dimension_point_1),
inference(hyper,[status(thm)],[2647,6,202]),
[iquote('hyper,2647,6,202')] ).
cnf(2862,plain,
$false,
inference(hyper,[status(thm)],[2682,2044,2678,2578]),
[iquote('hyper,2682,2044,2678,2578')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO011-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n014.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 07:07:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.77/1.96 ----- Otter 3.3f, August 2004 -----
% 1.77/1.96 The process was started by sandbox on n014.cluster.edu,
% 1.77/1.96 Wed Jul 27 07:07:54 2022
% 1.77/1.96 The command was "./otter". The process ID is 946.
% 1.77/1.96
% 1.77/1.96 set(prolog_style_variables).
% 1.77/1.96 set(auto).
% 1.77/1.96 dependent: set(auto1).
% 1.77/1.96 dependent: set(process_input).
% 1.77/1.96 dependent: clear(print_kept).
% 1.77/1.96 dependent: clear(print_new_demod).
% 1.77/1.96 dependent: clear(print_back_demod).
% 1.77/1.96 dependent: clear(print_back_sub).
% 1.77/1.96 dependent: set(control_memory).
% 1.77/1.96 dependent: assign(max_mem, 12000).
% 1.77/1.96 dependent: assign(pick_given_ratio, 4).
% 1.77/1.96 dependent: assign(stats_level, 1).
% 1.77/1.96 dependent: assign(max_seconds, 10800).
% 1.77/1.96 clear(print_given).
% 1.77/1.96
% 1.77/1.96 list(usable).
% 1.77/1.96 0 [] A=A.
% 1.77/1.96 0 [] -between(X,Y,X)|X=Y.
% 1.77/1.96 0 [] -between(X,Y,V)| -between(Y,Z,V)|between(X,Y,Z).
% 1.77/1.96 0 [] -between(X,Y,Z)| -between(X,Y,V)|X=Y|between(X,Z,V)|between(X,V,Z).
% 1.77/1.96 0 [] e_quidistant(X,Y,Y,X).
% 1.77/1.96 0 [] -e_quidistant(X,Y,Z,Z)|X=Y.
% 1.77/1.96 0 [] -e_quidistant(X,Y,Z,V)| -e_quidistant(X,Y,V2,W)|e_quidistant(Z,V,V2,W).
% 1.77/1.96 0 [] -between(X,W,V)| -between(Y,V,Z)|between(X,outer_pasch(W,X,Y,Z,V),Y).
% 1.77/1.96 0 [] -between(X,W,V)| -between(Y,V,Z)|between(Z,W,outer_pasch(W,X,Y,Z,V)).
% 1.77/1.96 0 [] -between(X,V,W)| -between(Y,V,Z)|X=V|between(X,Z,euclid1(W,X,Y,Z,V)).
% 1.77/1.96 0 [] -between(X,V,W)| -between(Y,V,Z)|X=V|between(X,Y,euclid2(W,X,Y,Z,V)).
% 1.77/1.96 0 [] -between(X,V,W)| -between(Y,V,Z)|X=V|between(euclid1(W,X,Y,Z,V),W,euclid2(W,X,Y,Z,V)).
% 1.77/1.96 0 [] -e_quidistant(X,Y,X1,Y1)| -e_quidistant(Y,Z,Y1,Z1)| -e_quidistant(X,V,X1,V1)| -e_quidistant(Y,V,Y1,V1)| -between(X,Y,Z)| -between(X1,Y1,Z1)|X=Y|e_quidistant(Z,V,Z1,V1).
% 1.77/1.96 0 [] between(X,Y,extension(X,Y,W,V)).
% 1.77/1.96 0 [] e_quidistant(Y,extension(X,Y,W,V),W,V).
% 1.77/1.96 0 [] -between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3).
% 1.77/1.96 0 [] -between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1).
% 1.77/1.96 0 [] -between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2).
% 1.77/1.96 0 [] -e_quidistant(X,W,X,V)| -e_quidistant(Y,W,Y,V)| -e_quidistant(Z,W,Z,V)|between(X,Y,Z)|between(Y,Z,X)|between(Z,X,Y)|W=V.
% 1.77/1.96 0 [] -e_quidistant(V,X,V,X1)| -e_quidistant(V,Z,V,Z1)| -between(V,X,Z)| -between(X,Y,Z)|e_quidistant(V,Y,V,continuous(X,Y,Z,X1,Z1,V)).
% 1.77/1.96 0 [] -e_quidistant(V,X,V,X1)| -e_quidistant(V,Z,V,Z1)| -between(V,X,Z)| -between(X,Y,Z)|between(X1,continuous(X,Y,Z,X1,Z1,V),Z1).
% 1.77/1.96 0 [] -colinear(X,Y,Z)|between(X,Y,Z)|between(Y,X,Z)|between(X,Z,Y).
% 1.77/1.96 0 [] -between(X,Y,Z)|colinear(X,Y,Z).
% 1.77/1.96 0 [] -between(Y,X,Z)|colinear(X,Y,Z).
% 1.77/1.96 0 [] -between(X,Z,Y)|colinear(X,Y,Z).
% 1.77/1.96 0 [] colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3).
% 1.77/1.96 end_of_list.
% 1.77/1.96
% 1.77/1.96 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 1.77/1.96
% 1.77/1.96 This ia a non-Horn set with equality. The strategy will be
% 1.77/1.96 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.77/1.96 deletion, with positive clauses in sos and nonpositive
% 1.77/1.96 clauses in usable.
% 1.77/1.96
% 1.77/1.96 dependent: set(knuth_bendix).
% 1.77/1.96 dependent: set(anl_eq).
% 1.77/1.96 dependent: set(para_from).
% 1.77/1.96 dependent: set(para_into).
% 1.77/1.96 dependent: clear(para_from_right).
% 1.77/1.96 dependent: clear(para_into_right).
% 1.77/1.96 dependent: set(para_from_vars).
% 1.77/1.96 dependent: set(eq_units_both_ways).
% 1.77/1.96 dependent: set(dynamic_demod_all).
% 1.77/1.96 dependent: set(dynamic_demod).
% 1.77/1.96 dependent: set(order_eq).
% 1.77/1.96 dependent: set(back_demod).
% 1.77/1.96 dependent: set(lrpo).
% 1.77/1.96 dependent: set(hyper_res).
% 1.77/1.96 dependent: set(unit_deletion).
% 1.77/1.96 dependent: set(factor).
% 1.77/1.96
% 1.77/1.96 ------------> process usable:
% 1.77/1.96 ** KEPT (pick-wt=7): 1 [] -between(A,B,A)|A=B.
% 1.77/1.96 ** KEPT (pick-wt=12): 2 [] -between(A,B,C)| -between(B,D,C)|between(A,B,D).
% 1.77/1.96 ** KEPT (pick-wt=19): 3 [] -between(A,B,C)| -between(A,B,D)|A=B|between(A,C,D)|between(A,D,C).
% 1.77/1.96 ** KEPT (pick-wt=8): 4 [] -e_quidistant(A,B,C,C)|A=B.
% 1.77/1.96 ** KEPT (pick-wt=15): 5 [] -e_quidistant(A,B,C,D)| -e_quidistant(A,B,E,F)|e_quidistant(C,D,E,F).
% 1.77/1.96 ** KEPT (pick-wt=17): 6 [] -between(A,B,C)| -between(D,C,E)|between(A,outer_pasch(B,A,D,E,C),D).
% 1.77/1.96 ** KEPT (pick-wt=17): 7 [] -between(A,B,C)| -between(D,C,E)|between(E,B,outer_pasch(B,A,D,E,C)).
% 1.77/1.96 ** KEPT (pick-wt=20): 8 [] -between(A,B,C)| -between(D,B,E)|A=B|between(A,E,euclid1(C,A,D,E,B)).
% 1.77/1.96 ** KEPT (pick-wt=20): 9 [] -between(A,B,C)| -between(D,B,E)|A=B|between(A,D,euclid2(C,A,D,E,B)).
% 1.77/1.96 ** KEPT (pick-wt=25): 10 [] -between(A,B,C)| -between(D,B,E)|A=B|between(euclid1(C,A,D,E,B),C,euclid2(C,A,D,E,B)).
% 121.04/121.25 ** KEPT (pick-wt=36): 11 [] -e_quidistant(A,B,C,D)| -e_quidistant(B,E,D,F)| -e_quidistant(A,G,C,H)| -e_quidistant(B,G,D,H)| -between(A,B,E)| -between(C,D,F)|A=B|e_quidistant(E,G,F,H).
% 121.04/121.25 ** KEPT (pick-wt=4): 12 [] -between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3).
% 121.04/121.25 ** KEPT (pick-wt=4): 13 [] -between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1).
% 121.04/121.25 ** KEPT (pick-wt=4): 14 [] -between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2).
% 121.04/121.25 ** KEPT (pick-wt=30): 15 [] -e_quidistant(A,B,A,C)| -e_quidistant(D,B,D,C)| -e_quidistant(E,B,E,C)|between(A,D,E)|between(D,E,A)|between(E,A,D)|B=C.
% 121.04/121.25 ** KEPT (pick-wt=29): 16 [] -e_quidistant(A,B,A,C)| -e_quidistant(A,D,A,E)| -between(A,B,D)| -between(B,F,D)|e_quidistant(A,F,A,continuous(B,F,D,C,E,A)).
% 121.04/121.25 ** KEPT (pick-wt=28): 17 [] -e_quidistant(A,B,A,C)| -e_quidistant(A,D,A,E)| -between(A,B,D)| -between(B,F,D)|between(C,continuous(B,F,D,C,E,A),E).
% 121.04/121.25 ** KEPT (pick-wt=16): 18 [] -colinear(A,B,C)|between(A,B,C)|between(B,A,C)|between(A,C,B).
% 121.04/121.25 ** KEPT (pick-wt=8): 19 [] -between(A,B,C)|colinear(A,B,C).
% 121.04/121.25 ** KEPT (pick-wt=8): 20 [] -between(A,B,C)|colinear(B,A,C).
% 121.04/121.25 ** KEPT (pick-wt=8): 21 [] -between(A,B,C)|colinear(A,C,B).
% 121.04/121.25
% 121.04/121.25 ------------> process sos:
% 121.04/121.25 ** KEPT (pick-wt=3): 46 [] A=A.
% 121.04/121.25 ** KEPT (pick-wt=5): 47 [] e_quidistant(A,B,B,A).
% 121.04/121.25 ** KEPT (pick-wt=8): 48 [] between(A,B,extension(A,B,C,D)).
% 121.04/121.25 ** KEPT (pick-wt=9): 49 [] e_quidistant(A,extension(B,A,C,D),C,D).
% 121.04/121.25 ** KEPT (pick-wt=4): 50 [] colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3).
% 121.04/121.25 Following clause subsumed by 46 during input processing: 0 [copy,46,flip.1] A=A.
% 121.04/121.25 47 back subsumes 43.
% 121.04/121.25
% 121.04/121.25 ======= end of input processing =======
% 121.04/121.25
% 121.04/121.25 =========== start of search ===========
% 121.04/121.25
% 121.04/121.25
% 121.04/121.25 Resetting weight limit to 12.
% 121.04/121.25
% 121.04/121.25
% 121.04/121.25 Resetting weight limit to 12.
% 121.04/121.25
% 121.04/121.25 sos_size=1821
% 121.04/121.25
% 121.04/121.25 -- HEY sandbox, WE HAVE A PROOF!! --
% 121.04/121.25
% 121.04/121.25 -----> EMPTY CLAUSE at 119.28 sec ----> 2862 [hyper,2682,2044,2678,2578] $F.
% 121.04/121.25
% 121.04/121.25 Length of proof is 17. Level of proof is 7.
% 121.04/121.25
% 121.04/121.25 ---------------- PROOF ----------------
% 121.04/121.25 % SZS status Unsatisfiable
% 121.04/121.25 % SZS output start Refutation
% See solution above
% 121.04/121.25 ------------ end of proof -------------
% 121.04/121.25
% 121.04/121.25
% 121.04/121.25 Search stopped by max_proofs option.
% 121.04/121.25
% 121.04/121.25
% 121.04/121.25 Search stopped by max_proofs option.
% 121.04/121.25
% 121.04/121.25 ============ end of search ============
% 121.04/121.25
% 121.04/121.25 -------------- statistics -------------
% 121.04/121.25 clauses given 665
% 121.04/121.25 clauses generated 503050
% 121.04/121.25 clauses kept 2853
% 121.04/121.25 clauses forward subsumed 54336
% 121.04/121.25 clauses back subsumed 863
% 121.04/121.25 Kbytes malloced 5859
% 121.04/121.25
% 121.04/121.25 ----------- times (seconds) -----------
% 121.04/121.25 user CPU time 119.28 (0 hr, 1 min, 59 sec)
% 121.04/121.25 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 121.04/121.25 wall-clock time 121 (0 hr, 2 min, 1 sec)
% 121.04/121.25
% 121.04/121.25 That finishes the proof of the theorem.
% 121.04/121.25
% 121.04/121.25 Process 946 finished Wed Jul 27 07:09:55 2022
% 121.04/121.25 Otter interrupted
% 121.04/121.25 PROOF FOUND
%------------------------------------------------------------------------------