TSTP Solution File: GEO006-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO006-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n006.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 12:54:04 EDT 2022
% Result : Unsatisfiable 4.69s 4.93s
% Output : Refutation 4.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of clauses : 31 ( 22 unt; 2 nHn; 22 RR)
% Number of literals : 43 ( 13 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 40 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ between(A,B,A)
| A = B ),
file('GEO006-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ between(A,B,C)
| ~ between(B,D,C)
| between(A,B,D) ),
file('GEO006-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ e_quidistant(A,B,C,C)
| A = B ),
file('GEO006-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ between(A,B,C)
| ~ between(D,C,E)
| between(A,outer_pasch(B,A,D,E,C),D) ),
file('GEO006-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ between(A,B,C)
| ~ between(D,C,E)
| between(E,B,outer_pasch(B,A,D,E,C)) ),
file('GEO006-1.p',unknown),
[] ).
cnf(18,axiom,
a != c,
file('GEO006-1.p',unknown),
[] ).
cnf(19,plain,
c != a,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[18])]),
[iquote('copy,18,flip.1')] ).
cnf(22,axiom,
c != d,
file('GEO006-1.p',unknown),
[] ).
cnf(23,plain,
d != c,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[22])]),
[iquote('copy,22,flip.1')] ).
cnf(45,axiom,
A = A,
file('GEO006-1.p',unknown),
[] ).
cnf(47,axiom,
between(A,B,extension(A,B,C,D)),
file('GEO006-1.p',unknown),
[] ).
cnf(48,axiom,
e_quidistant(A,extension(B,A,C,D),C,D),
file('GEO006-1.p',unknown),
[] ).
cnf(49,axiom,
between(a,c,d),
file('GEO006-1.p',unknown),
[] ).
cnf(50,axiom,
( between(c,a,d)
| between(a,d,c) ),
file('GEO006-1.p',unknown),
[] ).
cnf(289,plain,
( between(a,d,c)
| between(a,c,a) ),
inference(hyper,[status(thm)],[50,2,49]),
[iquote('hyper,50,2,49')] ).
cnf(629,plain,
extension(A,B,C,C) = B,
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[48,4])]),
[iquote('hyper,48,4,flip.1')] ).
cnf(666,plain,
( A = B
| ~ between(B,A,B) ),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[629,1]),629,629]),
[iquote('para_into,628.1.1,1.2.1,demod,629,629')] ).
cnf(668,plain,
between(A,B,B),
inference(para_from,[status(thm),theory(equality)],[629,47]),
[iquote('para_from,628.1.1,47.1.3')] ).
cnf(722,plain,
between(d,c,outer_pasch(c,a,A,d,d)),
inference(hyper,[status(thm)],[668,7,49]),
[iquote('hyper,668,7,49')] ).
cnf(731,plain,
between(a,outer_pasch(c,a,A,d,d),A),
inference(hyper,[status(thm)],[668,6,49]),
[iquote('hyper,668,6,49')] ).
cnf(774,plain,
( A != a
| ~ between(A,c,A) ),
inference(para_from,[status(thm),theory(equality)],[666,19]),
[iquote('para_from,666.1.1,19.1.1')] ).
cnf(1514,plain,
between(a,d,c),
inference(hyper,[status(thm)],[289,774,45]),
[iquote('hyper,289,774,45')] ).
cnf(1544,plain,
between(c,d,outer_pasch(d,A,a,c,d)),
inference(hyper,[status(thm)],[1514,7,668]),
[iquote('hyper,1514,7,668')] ).
cnf(1549,plain,
between(A,outer_pasch(d,A,a,c,d),a),
inference(hyper,[status(thm)],[1514,6,668]),
[iquote('hyper,1514,6,668')] ).
cnf(1828,plain,
outer_pasch(c,a,a,d,d) = a,
inference(hyper,[status(thm)],[731,666]),
[iquote('hyper,731,666')] ).
cnf(1830,plain,
between(d,c,a),
inference(para_from,[status(thm),theory(equality)],[1828,722]),
[iquote('para_from,1828.1.1,722.1.3')] ).
cnf(1878,plain,
outer_pasch(d,a,a,c,d) = a,
inference(hyper,[status(thm)],[1549,666]),
[iquote('hyper,1549,666')] ).
cnf(1881,plain,
between(c,d,a),
inference(para_from,[status(thm),theory(equality)],[1878,1544]),
[iquote('para_from,1878.1.1,1544.1.3')] ).
cnf(1905,plain,
between(d,c,d),
inference(hyper,[status(thm)],[1881,2,1830]),
[iquote('hyper,1881,2,1830')] ).
cnf(1921,plain,
d = c,
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[1905,666])]),
[iquote('hyper,1905,666,flip.1')] ).
cnf(1923,plain,
$false,
inference(binary,[status(thm)],[1921,23]),
[iquote('binary,1921.1,23.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO006-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.11/0.32 % Computer : n006.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Jul 27 06:55:01 EDT 2022
% 0.11/0.33 % CPUTime :
% 1.54/2.13 ----- Otter 3.3f, August 2004 -----
% 1.54/2.13 The process was started by sandbox on n006.cluster.edu,
% 1.54/2.13 Wed Jul 27 06:55:02 2022
% 1.54/2.13 The command was "./otter". The process ID is 22273.
% 1.54/2.13
% 1.54/2.13 set(prolog_style_variables).
% 1.54/2.13 set(auto).
% 1.54/2.13 dependent: set(auto1).
% 1.54/2.13 dependent: set(process_input).
% 1.54/2.13 dependent: clear(print_kept).
% 1.54/2.13 dependent: clear(print_new_demod).
% 1.54/2.13 dependent: clear(print_back_demod).
% 1.54/2.13 dependent: clear(print_back_sub).
% 1.54/2.13 dependent: set(control_memory).
% 1.54/2.13 dependent: assign(max_mem, 12000).
% 1.54/2.13 dependent: assign(pick_given_ratio, 4).
% 1.54/2.13 dependent: assign(stats_level, 1).
% 1.54/2.13 dependent: assign(max_seconds, 10800).
% 1.54/2.13 clear(print_given).
% 1.54/2.13
% 1.54/2.13 list(usable).
% 1.54/2.13 0 [] A=A.
% 1.54/2.13 0 [] -between(X,Y,X)|X=Y.
% 1.54/2.13 0 [] -between(X,Y,V)| -between(Y,Z,V)|between(X,Y,Z).
% 1.54/2.13 0 [] -between(X,Y,Z)| -between(X,Y,V)|X=Y|between(X,Z,V)|between(X,V,Z).
% 1.54/2.13 0 [] e_quidistant(X,Y,Y,X).
% 1.54/2.13 0 [] -e_quidistant(X,Y,Z,Z)|X=Y.
% 1.54/2.13 0 [] -e_quidistant(X,Y,Z,V)| -e_quidistant(X,Y,V2,W)|e_quidistant(Z,V,V2,W).
% 1.54/2.13 0 [] -between(X,W,V)| -between(Y,V,Z)|between(X,outer_pasch(W,X,Y,Z,V),Y).
% 1.54/2.13 0 [] -between(X,W,V)| -between(Y,V,Z)|between(Z,W,outer_pasch(W,X,Y,Z,V)).
% 1.54/2.13 0 [] -between(X,V,W)| -between(Y,V,Z)|X=V|between(X,Z,euclid1(W,X,Y,Z,V)).
% 1.54/2.13 0 [] -between(X,V,W)| -between(Y,V,Z)|X=V|between(X,Y,euclid2(W,X,Y,Z,V)).
% 1.54/2.13 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)).
% 1.54/2.13 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).
% 1.54/2.13 0 [] between(X,Y,extension(X,Y,W,V)).
% 1.54/2.13 0 [] e_quidistant(Y,extension(X,Y,W,V),W,V).
% 1.54/2.13 0 [] -between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3).
% 1.54/2.13 0 [] -between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1).
% 1.54/2.13 0 [] -between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2).
% 1.54/2.13 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.
% 1.54/2.13 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)).
% 1.54/2.13 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).
% 1.54/2.13 0 [] a!=c.
% 1.54/2.13 0 [] a!=d.
% 1.54/2.13 0 [] c!=d.
% 1.54/2.13 0 [] between(a,c,d).
% 1.54/2.13 0 [] between(c,a,d)|between(a,d,c).
% 1.54/2.13 end_of_list.
% 1.54/2.13
% 1.54/2.13 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 1.54/2.13
% 1.54/2.13 This ia a non-Horn set with equality. The strategy will be
% 1.54/2.13 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.54/2.13 deletion, with positive clauses in sos and nonpositive
% 1.54/2.13 clauses in usable.
% 1.54/2.13
% 1.54/2.13 dependent: set(knuth_bendix).
% 1.54/2.13 dependent: set(anl_eq).
% 1.54/2.13 dependent: set(para_from).
% 1.54/2.13 dependent: set(para_into).
% 1.54/2.13 dependent: clear(para_from_right).
% 1.54/2.13 dependent: clear(para_into_right).
% 1.54/2.13 dependent: set(para_from_vars).
% 1.54/2.13 dependent: set(eq_units_both_ways).
% 1.54/2.13 dependent: set(dynamic_demod_all).
% 1.54/2.13 dependent: set(dynamic_demod).
% 1.54/2.13 dependent: set(order_eq).
% 1.54/2.13 dependent: set(back_demod).
% 1.54/2.13 dependent: set(lrpo).
% 1.54/2.13 dependent: set(hyper_res).
% 1.54/2.13 dependent: set(unit_deletion).
% 1.54/2.13 dependent: set(factor).
% 1.54/2.13
% 1.54/2.13 ------------> process usable:
% 1.54/2.13 ** KEPT (pick-wt=7): 1 [] -between(A,B,A)|A=B.
% 1.54/2.13 ** KEPT (pick-wt=12): 2 [] -between(A,B,C)| -between(B,D,C)|between(A,B,D).
% 1.54/2.13 ** KEPT (pick-wt=19): 3 [] -between(A,B,C)| -between(A,B,D)|A=B|between(A,C,D)|between(A,D,C).
% 1.54/2.13 ** KEPT (pick-wt=8): 4 [] -e_quidistant(A,B,C,C)|A=B.
% 1.54/2.13 ** KEPT (pick-wt=15): 5 [] -e_quidistant(A,B,C,D)| -e_quidistant(A,B,E,F)|e_quidistant(C,D,E,F).
% 1.54/2.13 ** KEPT (pick-wt=17): 6 [] -between(A,B,C)| -between(D,C,E)|between(A,outer_pasch(B,A,D,E,C),D).
% 1.54/2.13 ** KEPT (pick-wt=17): 7 [] -between(A,B,C)| -between(D,C,E)|between(E,B,outer_pasch(B,A,D,E,C)).
% 1.54/2.13 ** KEPT (pick-wt=20): 8 [] -between(A,B,C)| -between(D,B,E)|A=B|between(A,E,euclid1(C,A,D,E,B)).
% 1.54/2.13 ** KEPT (pick-wt=20): 9 [] -between(A,B,C)| -between(D,B,E)|A=B|between(A,D,euclid2(C,A,D,E,B)).
% 1.54/2.13 ** 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)).
% 1.54/2.13 ** 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).
% 4.69/4.93 ** KEPT (pick-wt=4): 12 [] -between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3).
% 4.69/4.93 ** KEPT (pick-wt=4): 13 [] -between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1).
% 4.69/4.93 ** KEPT (pick-wt=4): 14 [] -between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2).
% 4.69/4.93 ** 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.
% 4.69/4.93 ** 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)).
% 4.69/4.93 ** 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).
% 4.69/4.93 ** KEPT (pick-wt=3): 19 [copy,18,flip.1] c!=a.
% 4.69/4.93 ** KEPT (pick-wt=3): 21 [copy,20,flip.1] d!=a.
% 4.69/4.93 ** KEPT (pick-wt=3): 23 [copy,22,flip.1] d!=c.
% 4.69/4.93
% 4.69/4.93 ------------> process sos:
% 4.69/4.93 ** KEPT (pick-wt=3): 45 [] A=A.
% 4.69/4.93 ** KEPT (pick-wt=5): 46 [] e_quidistant(A,B,B,A).
% 4.69/4.93 ** KEPT (pick-wt=8): 47 [] between(A,B,extension(A,B,C,D)).
% 4.69/4.93 ** KEPT (pick-wt=9): 48 [] e_quidistant(A,extension(B,A,C,D),C,D).
% 4.69/4.93 ** KEPT (pick-wt=4): 49 [] between(a,c,d).
% 4.69/4.93 ** KEPT (pick-wt=8): 50 [] between(c,a,d)|between(a,d,c).
% 4.69/4.93 Following clause subsumed by 45 during input processing: 0 [copy,45,flip.1] A=A.
% 4.69/4.93 46 back subsumes 42.
% 4.69/4.93
% 4.69/4.93 ======= end of input processing =======
% 4.69/4.93
% 4.69/4.93 =========== start of search ===========
% 4.69/4.93
% 4.69/4.93
% 4.69/4.93 Resetting weight limit to 9.
% 4.69/4.93
% 4.69/4.93
% 4.69/4.93 Resetting weight limit to 9.
% 4.69/4.93
% 4.69/4.93 sos_size=1276
% 4.69/4.93
% 4.69/4.93 -------- PROOF --------
% 4.69/4.93
% 4.69/4.93 ----> UNIT CONFLICT at 2.80 sec ----> 1923 [binary,1921.1,23.1] $F.
% 4.69/4.93
% 4.69/4.93 Length of proof is 18. Level of proof is 9.
% 4.69/4.93
% 4.69/4.93 ---------------- PROOF ----------------
% 4.69/4.93 % SZS status Unsatisfiable
% 4.69/4.93 % SZS output start Refutation
% See solution above
% 4.69/4.93 ------------ end of proof -------------
% 4.69/4.93
% 4.69/4.93
% 4.69/4.93 Search stopped by max_proofs option.
% 4.69/4.93
% 4.69/4.93
% 4.69/4.93 Search stopped by max_proofs option.
% 4.69/4.93
% 4.69/4.93 ============ end of search ============
% 4.69/4.93
% 4.69/4.93 -------------- statistics -------------
% 4.69/4.93 clauses given 118
% 4.69/4.93 clauses generated 29356
% 4.69/4.93 clauses kept 1911
% 4.69/4.93 clauses forward subsumed 7522
% 4.69/4.93 clauses back subsumed 638
% 4.69/4.93 Kbytes malloced 4882
% 4.69/4.93
% 4.69/4.93 ----------- times (seconds) -----------
% 4.69/4.93 user CPU time 2.80 (0 hr, 0 min, 2 sec)
% 4.69/4.93 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 4.69/4.93 wall-clock time 4 (0 hr, 0 min, 4 sec)
% 4.69/4.93
% 4.69/4.93 That finishes the proof of the theorem.
% 4.69/4.93
% 4.69/4.93 Process 22273 finished Wed Jul 27 06:55:06 2022
% 4.69/4.93 Otter interrupted
% 4.69/4.93 PROOF FOUND
%------------------------------------------------------------------------------