TSTP Solution File: GEO008-3 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO008-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n012.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 12:54:05 EDT 2022
% Result : Unsatisfiable 18.53s 18.74s
% Output : Refutation 18.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 9 unt; 3 nHn; 15 RR)
% Number of literals : 25 ( 0 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(35,axiom,
( ~ between(A,B,C)
| between(C,B,A) ),
file('GEO008-3.p',unknown),
[] ).
cnf(41,axiom,
( ~ between(A,B,C)
| ~ between(B,D,C)
| between(A,D,C) ),
file('GEO008-3.p',unknown),
[] ).
cnf(42,axiom,
( ~ between(A,B,C)
| ~ between(A,C,D)
| between(A,B,D) ),
file('GEO008-3.p',unknown),
[] ).
cnf(67,axiom,
( ~ between(A,B,C)
| ~ between(A,D,C)
| between(B,D,C)
| between(D,B,C) ),
file('GEO008-3.p',unknown),
[] ).
cnf(68,axiom,
~ between(a,b,e),
file('GEO008-3.p',unknown),
[] ).
cnf(148,axiom,
between(a,c,e),
file('GEO008-3.p',unknown),
[] ).
cnf(149,axiom,
between(a,d,e),
file('GEO008-3.p',unknown),
[] ).
cnf(150,axiom,
between(c,b,d),
file('GEO008-3.p',unknown),
[] ).
cnf(313,plain,
( between(c,d,e)
| between(d,c,e) ),
inference(hyper,[status(thm)],[149,67,148]),
[iquote('hyper,149,67,148')] ).
cnf(456,plain,
between(d,b,c),
inference(hyper,[status(thm)],[150,35]),
[iquote('hyper,150,35')] ).
cnf(1925,plain,
( between(d,c,e)
| between(c,b,e) ),
inference(hyper,[status(thm)],[313,42,150]),
[iquote('hyper,313,42,150')] ).
cnf(2456,plain,
between(d,c,e),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1925,41,148]),68]),
[iquote('hyper,1925,41,148,unit_del,68')] ).
cnf(2470,plain,
between(d,b,e),
inference(hyper,[status(thm)],[2456,42,456]),
[iquote('hyper,2456,42,456')] ).
cnf(2526,plain,
between(a,b,e),
inference(hyper,[status(thm)],[2470,41,149]),
[iquote('hyper,2470,41,149')] ).
cnf(2527,plain,
$false,
inference(binary,[status(thm)],[2526,68]),
[iquote('binary,2526.1,68.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO008-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.11/0.33 % Computer : n012.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Jul 27 07:07:20 EDT 2022
% 0.11/0.33 % CPUTime :
% 2.12/2.57 ----- Otter 3.3f, August 2004 -----
% 2.12/2.57 The process was started by sandbox2 on n012.cluster.edu,
% 2.12/2.57 Wed Jul 27 07:07:20 2022
% 2.12/2.57 The command was "./otter". The process ID is 3761.
% 2.12/2.57
% 2.12/2.57 set(prolog_style_variables).
% 2.12/2.57 set(auto).
% 2.12/2.57 dependent: set(auto1).
% 2.12/2.57 dependent: set(process_input).
% 2.12/2.57 dependent: clear(print_kept).
% 2.12/2.57 dependent: clear(print_new_demod).
% 2.12/2.57 dependent: clear(print_back_demod).
% 2.12/2.57 dependent: clear(print_back_sub).
% 2.12/2.57 dependent: set(control_memory).
% 2.12/2.57 dependent: assign(max_mem, 12000).
% 2.12/2.57 dependent: assign(pick_given_ratio, 4).
% 2.12/2.57 dependent: assign(stats_level, 1).
% 2.12/2.57 dependent: assign(max_seconds, 10800).
% 2.12/2.57 clear(print_given).
% 2.12/2.57
% 2.12/2.57 list(usable).
% 2.12/2.57 0 [] A=A.
% 2.12/2.57 0 [] e_quidistant(X,Y,Y,X).
% 2.12/2.57 0 [] -e_quidistant(X,Y,Z,V)| -e_quidistant(X,Y,V2,W)|e_quidistant(Z,V,V2,W).
% 2.12/2.57 0 [] -e_quidistant(X,Y,Z,Z)|X=Y.
% 2.12/2.57 0 [] between(X,Y,extension(X,Y,W,V)).
% 2.12/2.57 0 [] e_quidistant(Y,extension(X,Y,W,V),W,V).
% 2.12/2.57 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).
% 2.12/2.57 0 [] -between(X,Y,X)|X=Y.
% 2.12/2.57 0 [] -between(U,V,W)| -between(Y,X,W)|between(V,inner_pasch(U,V,W,X,Y),Y).
% 2.12/2.57 0 [] -between(U,V,W)| -between(Y,X,W)|between(X,inner_pasch(U,V,W,X,Y),U).
% 2.12/2.57 0 [] -between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3).
% 2.12/2.57 0 [] -between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1).
% 2.12/2.57 0 [] -between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2).
% 2.12/2.57 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.
% 2.12/2.57 0 [] -between(U,W,Y)| -between(V,W,X)|U=W|between(U,V,euclid1(U,V,W,X,Y)).
% 2.12/2.57 0 [] -between(U,W,Y)| -between(V,W,X)|U=W|between(U,X,euclid2(U,V,W,X,Y)).
% 2.12/2.57 0 [] -between(U,W,Y)| -between(V,W,X)|U=W|between(euclid1(U,V,W,X,Y),Y,euclid2(U,V,W,X,Y)).
% 2.12/2.57 0 [] -e_quidistant(U,V,U,V1)| -e_quidistant(U,X,U,X1)| -between(U,V,X)| -between(V,W,X)|between(V1,continuous(U,V,V1,W,X,X1),X1).
% 2.12/2.57 0 [] -e_quidistant(U,V,U,V1)| -e_quidistant(U,X,U,X1)| -between(U,V,X)| -between(V,W,X)|e_quidistant(U,W,U,continuous(U,V,V1,W,X,X1)).
% 2.12/2.57 0 [] reflection(U,V)=extension(U,V,U,V).
% 2.12/2.57 0 [] insertion(U1,W1,U,V)=extension(extension(W1,U1,lower_dimension_point_1,lower_dimension_point_2),U1,U,V).
% 2.12/2.57 0 [] e_quidistant(U,V,U,V).
% 2.12/2.57 0 [] -e_quidistant(U,V,W,X)|e_quidistant(W,X,U,V).
% 2.12/2.57 0 [] -e_quidistant(U,V,W,X)|e_quidistant(V,U,W,X).
% 2.12/2.57 0 [] -e_quidistant(U,V,W,X)|e_quidistant(U,V,X,W).
% 2.12/2.57 0 [] -e_quidistant(U,V,W,X)|e_quidistant(V,U,X,W).
% 2.12/2.57 0 [] -e_quidistant(U,V,W,X)|e_quidistant(W,X,V,U).
% 2.12/2.57 0 [] -e_quidistant(U,V,W,X)|e_quidistant(X,W,U,V).
% 2.12/2.57 0 [] -e_quidistant(U,V,W,X)|e_quidistant(X,W,V,U).
% 2.12/2.57 0 [] -e_quidistant(U,V,W,X)| -e_quidistant(W,X,Y,Z)|e_quidistant(U,V,Y,Z).
% 2.12/2.57 0 [] V=extension(U,V,W,W).
% 2.12/2.57 0 [] Y!=extension(U,V,W,X)|between(U,V,Y).
% 2.12/2.57 0 [] between(U,V,reflection(U,V)).
% 2.12/2.57 0 [] e_quidistant(V,reflection(U,V),U,V).
% 2.12/2.57 0 [] U!=V|V=reflection(U,V).
% 2.12/2.57 0 [] U=reflection(U,U).
% 2.12/2.57 0 [] V!=reflection(U,V)|U=V.
% 2.12/2.57 0 [] e_quidistant(U,U,V,V).
% 2.12/2.57 0 [] -e_quidistant(U,V,U1,V1)| -e_quidistant(V,W,V1,W1)| -between(U,V,W)| -between(U1,V1,W1)|e_quidistant(U,W,U1,W1).
% 2.12/2.57 0 [] -between(U,V,W)| -between(U,V,X)| -e_quidistant(V,W,V,X)|U=V|W=X.
% 2.12/2.57 0 [] -between(U,V,W)|U=V|W=extension(U,V,V,W).
% 2.12/2.57 0 [] -e_quidistant(W,X,Y,Z)|extension(U,V,W,X)=extension(U,V,Y,Z)|U=V.
% 2.12/2.57 0 [] extension(U,V,U,V)=extension(U,V,V,U)|U=V.
% 2.12/2.57 0 [] e_quidistant(V,U,V,reflection(reflection(U,V),V)).
% 2.12/2.57 0 [] U=reflection(reflection(U,V),V).
% 2.12/2.57 0 [] between(U,V,V).
% 2.12/2.57 0 [] -between(U,W,X)|U!=X|between(V,W,X).
% 2.12/2.57 0 [] -between(U,V,W)|between(W,V,U).
% 2.12/2.57 0 [] between(U,U,V).
% 2.12/2.57 0 [] -between(U,V,W)| -between(V,U,W)|U=V.
% 2.12/2.57 0 [] -between(U,V,W)| -between(U,W,V)|V=W.
% 2.12/2.57 0 [] -between(U,V,W)| -between(V,U,W)|U=V|V=W.
% 2.12/2.57 0 [] -between(U,V,W)| -between(U,W,V)|U=V|V=W.
% 2.12/2.57 0 [] -between(U,V,W)| -between(V,W,X)|between(U,V,W).
% 2.12/2.57 0 [] -between(U,V,W)| -between(U,W,X)|between(V,W,X).
% 2.12/2.57 0 [] -between(U,V,W)| -between(V,W,X)|between(U,W,X)|V=W.
% 2.12/2.57 0 [] -between(U,V,W)| -between(V,W,X)|between(U,V,X)|V=W.
% 2.12/2.57 0 [] -between(U,V,X)| -between(V,W,X)|between(U,W,X).
% 2.12/2.57 0 [] -between(U,V,W)| -between(U,W,X)|between(U,V,X).
% 2.12/2.57 0 [] lower_dimension_point_1!=lower_dimension_point_2.
% 2.12/2.57 0 [] lower_dimension_point_2!=lower_dimension_point_3.
% 2.12/2.57 0 [] lower_dimension_point_1!=lower_dimension_point_3.
% 2.12/2.57 0 [] V!=extension(U,V,lower_dimension_point_1,lower_dimension_point_2).
% 2.12/2.57 0 [] e_quidistant(V,extension(U,V,lower_dimension_point_1,lower_dimension_point_2),X,extension(W,X,lower_dimension_point_1,lower_dimension_point_2)).
% 2.12/2.57 0 [] between(U,V,extension(U,V,lower_dimension_point_1,lower_dimension_point_2)).
% 2.12/2.57 0 [] -between(U,V,W)| -between(U1,V1,W)| -between(U,X,U1)|between(X,inner_pasch(V1,inner_pasch(U,X,U1,V1,W),U,V,W),W)|between(V,inner_pasch(V1,inner_pasch(U,X,U1,V1,W),U,V,W),V1).
% 2.12/2.57 0 [] -between(U,V,W)| -e_quidistant(U,W,U,W1)| -e_quidistant(V,W,V,W1)|U=V|W=W1.
% 2.12/2.57 0 [] -e_quidistant(U,V,U1,V1)| -e_quidistant(U,W,U1,W1)| -e_quidistant(U,X,U1,X1)| -e_quidistant(W,X,W1,X1)| -between(U,V,W)| -between(U1,V1,W1)|e_quidistant(V,X,V1,X1).
% 2.12/2.57 0 [] -between(U,V,W)| -between(U1,V1,W1)| -e_quidistant(U,V,U1,V1)| -e_quidistant(U,W,U1,W1)|e_quidistant(V,W,V1,W1).
% 2.12/2.57 0 [] -e_quidistant(U,V,U1,V1)| -e_quidistant(V,W,V1,W1)| -e_quidistant(U,X,U1,X1)| -e_quidistant(W,X,W1,X1)| -between(U,V,W)| -between(U1,V1,W1)|e_quidistant(V,X,V1,X1).
% 2.12/2.57 0 [] -between(U,V,W)| -e_quidistant(U,V,U,X)| -e_quidistant(W,V,W,X)|V=X.
% 2.12/2.57 0 [] e_quidistant(U,V,U1,insertion(U1,W1,U,V)).
% 2.12/2.57 0 [] -between(U,V,W)| -e_quidistant(U,W,U1,W1)|between(U1,insertion(U1,W1,U,V),W1).
% 2.12/2.57 0 [] -between(U,V,W)| -e_quidistant(U,W,U1,W1)|e_quidistant(V,W,insertion(U1,W1,U,V),W1).
% 2.12/2.57 0 [] -between(U,V,W)|V=insertion(U,W,U,V).
% 2.12/2.57 0 [] -e_quidistant(W,X,Y,Z)|insertion(U,V,W,X)=insertion(U,V,Y,Z).
% 2.12/2.57 0 [] -e_quidistant(U,V,U1,V1)| -e_quidistant(V,W,V1,W1)| -e_quidistant(U,W,U1,W1)| -between(U,V,W)|between(U1,V1,W1).
% 2.12/2.57 0 [] -between(U,V,W)| -between(U,V,X)|U=V|between(U,W,X)|between(U,X,W).
% 2.12/2.57 0 [] -between(U,V,W)| -between(U,V,X)|U=V|between(V,W,X)|between(V,X,W).
% 2.12/2.57 0 [] -between(U,W,X)| -between(V,W,X)|W=X|between(U,V,W)|between(V,U,W).
% 2.12/2.57 0 [] -between(U,V,X)| -between(U,W,X)|between(U,V,W)|between(U,W,V).
% 2.12/2.57 0 [] -between(U,V,X)| -between(U,W,X)|between(V,W,X)|between(W,V,X).
% 2.12/2.57 0 [] between(a,c,e).
% 2.12/2.57 0 [] between(a,d,e).
% 2.12/2.57 0 [] between(c,b,d).
% 2.12/2.57 0 [] -between(a,b,e).
% 2.12/2.57 end_of_list.
% 2.12/2.57
% 2.12/2.57 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 2.12/2.57
% 2.12/2.57 This ia a non-Horn set with equality. The strategy will be
% 2.12/2.57 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.12/2.57 deletion, with positive clauses in sos and nonpositive
% 2.12/2.57 clauses in usable.
% 2.12/2.57
% 2.12/2.57 dependent: set(knuth_bendix).
% 2.12/2.57 dependent: set(anl_eq).
% 2.12/2.57 dependent: set(para_from).
% 2.12/2.57 dependent: set(para_into).
% 2.12/2.57 dependent: clear(para_from_right).
% 2.12/2.57 dependent: clear(para_into_right).
% 2.12/2.57 dependent: set(para_from_vars).
% 2.12/2.57 dependent: set(eq_units_both_ways).
% 2.12/2.57 dependent: set(dynamic_demod_all).
% 2.12/2.57 dependent: set(dynamic_demod).
% 2.12/2.57 dependent: set(order_eq).
% 2.12/2.57 dependent: set(back_demod).
% 2.12/2.57 dependent: set(lrpo).
% 2.12/2.57 dependent: set(hyper_res).
% 2.12/2.57 dependent: set(unit_deletion).
% 2.12/2.57 dependent: set(factor).
% 2.12/2.57
% 2.12/2.57 ------------> process usable:
% 2.12/2.57 ** KEPT (pick-wt=15): 1 [] -e_quidistant(A,B,C,D)| -e_quidistant(A,B,E,F)|e_quidistant(C,D,E,F).
% 2.12/2.57 ** KEPT (pick-wt=8): 2 [] -e_quidistant(A,B,C,C)|A=B.
% 2.12/2.57 ** KEPT (pick-wt=36): 3 [] -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).
% 2.12/2.57 ** KEPT (pick-wt=7): 4 [] -between(A,B,A)|A=B.
% 2.12/2.57 ** KEPT (pick-wt=17): 5 [] -between(A,B,C)| -between(D,E,C)|between(B,inner_pasch(A,B,C,E,D),D).
% 2.12/2.57 ** KEPT (pick-wt=17): 6 [] -between(A,B,C)| -between(D,E,C)|between(E,inner_pasch(A,B,C,E,D),A).
% 2.12/2.57 ** KEPT (pick-wt=4): 7 [] -between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3).
% 2.12/2.57 ** KEPT (pick-wt=4): 8 [] -between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1).
% 2.12/2.57 ** KEPT (pick-wt=4): 9 [] -between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2).
% 2.12/2.57 ** KEPT (pick-wt=30): 10 [] -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.
% 2.12/2.57 ** KEPT (pick-wt=20): 11 [] -between(A,B,C)| -between(D,B,E)|A=B|between(A,D,euclid1(A,D,B,E,C)).
% 2.12/2.59 ** KEPT (pick-wt=20): 12 [] -between(A,B,C)| -between(D,B,E)|A=B|between(A,E,euclid2(A,D,B,E,C)).
% 2.12/2.59 ** KEPT (pick-wt=25): 13 [] -between(A,B,C)| -between(D,B,E)|A=B|between(euclid1(A,D,B,E,C),C,euclid2(A,D,B,E,C)).
% 2.12/2.59 ** KEPT (pick-wt=28): 14 [] -e_quidistant(A,B,A,C)| -e_quidistant(A,D,A,E)| -between(A,B,D)| -between(B,F,D)|between(C,continuous(A,B,C,F,D,E),E).
% 2.12/2.59 ** KEPT (pick-wt=29): 15 [] -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(A,B,C,F,D,E)).
% 2.12/2.59 ** KEPT (pick-wt=10): 16 [] -e_quidistant(A,B,C,D)|e_quidistant(C,D,A,B).
% 2.12/2.59 ** KEPT (pick-wt=10): 17 [] -e_quidistant(A,B,C,D)|e_quidistant(B,A,C,D).
% 2.12/2.59 ** KEPT (pick-wt=10): 18 [] -e_quidistant(A,B,C,D)|e_quidistant(A,B,D,C).
% 2.12/2.59 ** KEPT (pick-wt=10): 19 [] -e_quidistant(A,B,C,D)|e_quidistant(B,A,D,C).
% 2.12/2.59 ** KEPT (pick-wt=10): 20 [] -e_quidistant(A,B,C,D)|e_quidistant(C,D,B,A).
% 2.12/2.59 ** KEPT (pick-wt=10): 21 [] -e_quidistant(A,B,C,D)|e_quidistant(D,C,A,B).
% 2.12/2.59 ** KEPT (pick-wt=10): 22 [] -e_quidistant(A,B,C,D)|e_quidistant(D,C,B,A).
% 2.12/2.59 ** KEPT (pick-wt=15): 23 [] -e_quidistant(A,B,C,D)| -e_quidistant(C,D,E,F)|e_quidistant(A,B,E,F).
% 2.12/2.59 ** KEPT (pick-wt=11): 24 [] A!=extension(B,C,D,E)|between(B,C,A).
% 2.12/2.59 ** KEPT (pick-wt=8): 26 [copy,25,flip.2] A!=B|reflection(A,B)=B.
% 2.12/2.59 ** KEPT (pick-wt=8): 28 [copy,27,flip.1] reflection(A,B)!=B|A=B.
% 2.12/2.59 ** KEPT (pick-wt=23): 29 [] -e_quidistant(A,B,C,D)| -e_quidistant(B,E,D,F)| -between(A,B,E)| -between(C,D,F)|e_quidistant(A,E,C,F).
% 2.12/2.59 ** KEPT (pick-wt=19): 30 [] -between(A,B,C)| -between(A,B,D)| -e_quidistant(B,C,B,D)|A=B|C=D.
% 2.12/2.59 ** KEPT (pick-wt=14): 32 [copy,31,flip.3] -between(A,B,C)|A=B|extension(A,B,B,C)=C.
% 2.12/2.59 ** KEPT (pick-wt=19): 33 [] -e_quidistant(A,B,C,D)|extension(E,F,A,B)=extension(E,F,C,D)|E=F.
% 2.12/2.59 ** KEPT (pick-wt=11): 34 [] -between(A,B,C)|A!=C|between(D,B,C).
% 2.12/2.59 ** KEPT (pick-wt=8): 35 [] -between(A,B,C)|between(C,B,A).
% 2.12/2.59 ** KEPT (pick-wt=11): 36 [] -between(A,B,C)| -between(B,A,C)|A=B.
% 2.12/2.59 ** KEPT (pick-wt=11): 37 [] -between(A,B,C)| -between(A,C,B)|B=C.
% 2.12/2.59 Following clause subsumed by 36 during input processing: 0 [] -between(A,B,C)| -between(B,A,C)|A=B|B=C.
% 2.12/2.59 Following clause subsumed by 37 during input processing: 0 [] -between(A,B,C)| -between(A,C,B)|A=B|B=C.
% 2.12/2.59 ** KEPT (pick-wt=12): 38 [] -between(A,B,C)| -between(A,C,D)|between(B,C,D).
% 2.12/2.59 ** KEPT (pick-wt=15): 39 [] -between(A,B,C)| -between(B,C,D)|between(A,C,D)|B=C.
% 2.12/2.59 ** KEPT (pick-wt=15): 40 [] -between(A,B,C)| -between(B,C,D)|between(A,B,D)|B=C.
% 2.12/2.59 ** KEPT (pick-wt=12): 41 [] -between(A,B,C)| -between(B,D,C)|between(A,D,C).
% 2.12/2.59 ** KEPT (pick-wt=12): 42 [] -between(A,B,C)| -between(A,C,D)|between(A,B,D).
% 2.12/2.59 ** KEPT (pick-wt=3): 44 [copy,43,flip.1] lower_dimension_point_2!=lower_dimension_point_1.
% 2.12/2.59 ** KEPT (pick-wt=3): 46 [copy,45,flip.1] lower_dimension_point_3!=lower_dimension_point_2.
% 2.12/2.59 ** KEPT (pick-wt=3): 48 [copy,47,flip.1] lower_dimension_point_3!=lower_dimension_point_1.
% 2.12/2.59 ** KEPT (pick-wt=7): 50 [copy,49,flip.1] extension(A,B,lower_dimension_point_1,lower_dimension_point_2)!=B.
% 2.12/2.59 ** KEPT (pick-wt=40): 51 [] -between(A,B,C)| -between(D,E,C)| -between(A,F,D)|between(F,inner_pasch(E,inner_pasch(A,F,D,E,C),A,B,C),C)|between(B,inner_pasch(E,inner_pasch(A,F,D,E,C),A,B,C),E).
% 2.12/2.59 ** KEPT (pick-wt=20): 52 [] -between(A,B,C)| -e_quidistant(A,C,A,D)| -e_quidistant(B,C,B,D)|A=B|C=D.
% 2.12/2.59 ** KEPT (pick-wt=33): 53 [] -e_quidistant(A,B,C,D)| -e_quidistant(A,E,C,F)| -e_quidistant(A,G,C,H)| -e_quidistant(E,G,F,H)| -between(A,B,E)| -between(C,D,F)|e_quidistant(B,G,D,H).
% 2.12/2.59 ** KEPT (pick-wt=23): 54 [] -between(A,B,C)| -between(D,E,F)| -e_quidistant(A,B,D,E)| -e_quidistant(A,C,D,F)|e_quidistant(B,C,E,F).
% 2.12/2.59 ** KEPT (pick-wt=33): 55 [] -e_quidistant(A,B,C,D)| -e_quidistant(B,E,D,F)| -e_quidistant(A,G,C,H)| -e_quidistant(E,G,F,H)| -between(A,B,E)| -between(C,D,F)|e_quidistant(B,G,D,H).
% 2.12/2.59 ** KEPT (pick-wt=17): 56 [] -between(A,B,C)| -e_quidistant(A,B,A,D)| -e_quidistant(C,B,C,D)|B=D.
% 2.12/2.59 ** KEPT (pick-wt=17): 57 [] -between(A,B,C)| -e_quidistant(A,C,D,E)|between(D,insertion(D,E,A,B),E).
% 2.12/2.59 ** KEPT (pick-wt=18): 58 [] -between(A,B,C)| -e_quidistant(A,C,D,E)|e_quidistant(B,C,insertion(D,E,A,B),E).
% 2.12/2.59 ** KEPT (pick-wt=11): 60 [copy,59,flip.2] -between(A,B,C)|insertion(A,C,A,B)=B.
% 2.12/2.59 ** KEPT (pick-wt=16): 61 [] -e_quidistant(A,B,C,D)|insertion(E,F,A,B)=insertion(E,F,C,D).
% 2.12/2.59 ** KEPT (pick-wt=23): 62 [] -e_quidistant(A,B,C,D)| -e_quidistant(B,E,D,F)| -e_quidistant(A,E,C,F)| -between(A,B,E)|between(C,D,F).
% 2.12/2.59 ** KEPT (pick-wt=19): 63 [] -between(A,B,C)| -between(A,B,D)|A=B|between(A,C,D)|between(A,D,C).
% 2.12/2.59 ** KEPT (pick-wt=19): 64 [] -between(A,B,C)| -between(A,B,D)|A=B|between(B,C,D)|between(B,D,C).
% 2.12/2.59 ** KEPT (pick-wt=19): 65 [] -between(A,B,C)| -between(D,B,C)|B=C|between(A,D,B)|between(D,A,B).
% 2.12/2.59 ** KEPT (pick-wt=16): 66 [] -between(A,B,C)| -between(A,D,C)|between(A,B,D)|between(A,D,B).
% 2.12/2.59 ** KEPT (pick-wt=16): 67 [] -between(A,B,C)| -between(A,D,C)|between(B,D,C)|between(D,B,C).
% 2.12/2.59 ** KEPT (pick-wt=4): 68 [] -between(a,b,e).
% 2.12/2.59 109 back subsumes 86.
% 2.12/2.59
% 2.12/2.59 ------------> process sos:
% 2.12/2.59 ** KEPT (pick-wt=3): 124 [] A=A.
% 2.12/2.59 ** KEPT (pick-wt=5): 125 [] e_quidistant(A,B,B,A).
% 2.12/2.59 ** KEPT (pick-wt=8): 126 [] between(A,B,extension(A,B,C,D)).
% 2.12/2.59 ** KEPT (pick-wt=9): 127 [] e_quidistant(A,extension(B,A,C,D),C,D).
% 2.12/2.59 ** KEPT (pick-wt=9): 128 [] reflection(A,B)=extension(A,B,A,B).
% 2.12/2.59 ---> New Demodulator: 129 [new_demod,128] reflection(A,B)=extension(A,B,A,B).
% 2.12/2.59 ** KEPT (pick-wt=15): 130 [] insertion(A,B,C,D)=extension(extension(B,A,lower_dimension_point_1,lower_dimension_point_2),A,C,D).
% 2.12/2.59 ---> New Demodulator: 131 [new_demod,130] insertion(A,B,C,D)=extension(extension(B,A,lower_dimension_point_1,lower_dimension_point_2),A,C,D).
% 2.12/2.59 ** KEPT (pick-wt=5): 132 [] e_quidistant(A,B,A,B).
% 2.12/2.59 ** KEPT (pick-wt=7): 134 [copy,133,flip.1] extension(A,B,C,C)=B.
% 2.12/2.59 ---> New Demodulator: 135 [new_demod,134] extension(A,B,C,C)=B.
% 2.12/2.59 Following clause subsumed by 126 during input processing: 0 [demod,129] between(A,B,extension(A,B,A,B)).
% 2.12/2.59 Following clause subsumed by 127 during input processing: 0 [demod,129] e_quidistant(A,extension(B,A,B,A),B,A).
% 2.12/2.59 Following clause subsumed by 124 during input processing: 0 [demod,129,135] A=A.
% 2.12/2.59 ** KEPT (pick-wt=5): 136 [] e_quidistant(A,A,B,B).
% 2.12/2.59 ** KEPT (pick-wt=14): 137 [] extension(A,B,A,B)=extension(A,B,B,A)|A=B.
% 2.12/2.59 ** KEPT (pick-wt=17): 139 [copy,138,demod,129,129] e_quidistant(A,B,A,extension(extension(B,A,B,A),A,extension(B,A,B,A),A)).
% 2.12/2.59 ** KEPT (pick-wt=15): 141 [copy,140,demod,129,129,flip.1] extension(extension(A,B,A,B),B,extension(A,B,A,B),B)=A.
% 2.12/2.59 ---> New Demodulator: 142 [new_demod,141] extension(extension(A,B,A,B),B,extension(A,B,A,B),B)=A.
% 2.12/2.59 ** KEPT (pick-wt=4): 143 [] between(A,B,B).
% 2.12/2.59 ** KEPT (pick-wt=4): 144 [] between(A,A,B).
% 2.12/2.59 ** KEPT (pick-wt=13): 145 [] e_quidistant(A,extension(B,A,lower_dimension_point_1,lower_dimension_point_2),C,extension(D,C,lower_dimension_point_1,lower_dimension_point_2)).
% 2.12/2.59 Following clause subsumed by 126 during input processing: 0 [] between(A,B,extension(A,B,lower_dimension_point_1,lower_dimension_point_2)).
% 2.12/2.59 ** KEPT (pick-wt=13): 147 [copy,146,demod,131] e_quidistant(A,B,C,extension(extension(D,C,lower_dimension_point_1,lower_dimension_point_2),C,A,B)).
% 2.12/2.59 ** KEPT (pick-wt=4): 148 [] between(a,c,e).
% 2.12/2.59 ** KEPT (pick-wt=4): 149 [] between(a,d,e).
% 2.12/2.59 ** KEPT (pick-wt=4): 150 [] between(c,b,d).
% 2.12/2.59 Following clause subsumed by 124 during input processing: 0 [copy,124,flip.1] A=A.
% 2.12/2.59 124 back subsumes 85.
% 2.12/2.59 124 back subsumes 84.
% 2.12/2.59 124 back subsumes 83.
% 2.12/2.59 125 back subsumes 122.
% 2.12/2.59 125 back subsumes 121.
% 2.12/2.59 125 back subsumes 120.
% 2.12/2.59 125 back subsumes 118.
% 2.12/2.59 125 back subsumes 117.
% 2.12/2.59 125 back subsumes 110.
% 2.12/2.59 >>>> Starting back demodulation with 129.
% 2.12/2.59 >> back demodulating 28 with 129.
% 2.12/2.59 >> back demodulating 26 with 129.
% 2.12/2.59 >>>> Starting back demodulation with 131.
% 2.12/2.59 >> back demodulating 61 with 131.
% 2.12/2.59 >> back demodulating 60 with 131.
% 2.12/2.59 >> back demodulating 58 with 131.
% 2.12/2.59 >> back demodulating 57 with 131.
% 2.12/2.59 132 back subsumes 95.
% 2.12/2.59 132 back subsumes 82.
% 2.12/2.59 132 back subsumes 69.
% 2.12/2.59 >>>> Starting back demodulation with 135.
% 2.12/2.59 136 back subsumes 98.
% 2.12/2.59 136 back subsumes 97.
% 2.12/2.59 136 back subsumes 96.
% 2.12/2.59 136 back subsumes 92.
% 2.12/2.59 136 back subsumes 91.
% 2.12/2.59 136 back subsumes 70.
% 2.12/2.59 >>>> Starting back demodulation with 142.
% 2.12/2.59 >> back demodulating 139 with 142.
% 2.12/2.59 143 back subsumes 108.
% 2.12/2.59 143 back subsumes 106.
% 2.12/2.59 143 back subsumes 105.
% 2.12/2.59 143 back subsumes 103.
% 18.53/18.74 143 back subsumes 102.
% 18.53/18.74 143 back subsumes 74.
% 18.53/18.74 143 back subsumes 73.
% 18.53/18.74 144 back subsumes 109.
% 18.53/18.74 144 back subsumes 107.
% 18.53/18.74 144 back subsumes 104.
% 18.53/18.74 144 back subsumes 75.
% 18.53/18.74
% 18.53/18.74 ======= end of input processing =======
% 18.53/18.74
% 18.53/18.74 =========== start of search ===========
% 18.53/18.74
% 18.53/18.74
% 18.53/18.74 Resetting weight limit to 9.
% 18.53/18.74
% 18.53/18.74
% 18.53/18.74 Resetting weight limit to 9.
% 18.53/18.74
% 18.53/18.74 sos_size=2092
% 18.53/18.74
% 18.53/18.74 -- HEY sandbox2, WE HAVE A PROOF!! --
% 18.53/18.74
% 18.53/18.74 ----> UNIT CONFLICT at 16.17 sec ----> 2527 [binary,2526.1,68.1] $F.
% 18.53/18.74
% 18.53/18.74 Length of proof is 6. Level of proof is 5.
% 18.53/18.74
% 18.53/18.74 ---------------- PROOF ----------------
% 18.53/18.74 % SZS status Unsatisfiable
% 18.53/18.74 % SZS output start Refutation
% See solution above
% 18.53/18.74 ------------ end of proof -------------
% 18.53/18.74
% 18.53/18.74
% 18.53/18.74 Search stopped by max_proofs option.
% 18.53/18.74
% 18.53/18.74
% 18.53/18.74 Search stopped by max_proofs option.
% 18.53/18.74
% 18.53/18.74 ============ end of search ============
% 18.53/18.74
% 18.53/18.74 -------------- statistics -------------
% 18.53/18.74 clauses given 153
% 18.53/18.74 clauses generated 139600
% 18.53/18.74 clauses kept 2508
% 18.53/18.74 clauses forward subsumed 21594
% 18.53/18.74 clauses back subsumed 318
% 18.53/18.74 Kbytes malloced 4882
% 18.53/18.74
% 18.53/18.74 ----------- times (seconds) -----------
% 18.53/18.74 user CPU time 16.17 (0 hr, 0 min, 16 sec)
% 18.53/18.74 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 18.53/18.74 wall-clock time 19 (0 hr, 0 min, 19 sec)
% 18.53/18.74
% 18.53/18.74 That finishes the proof of the theorem.
% 18.53/18.74
% 18.53/18.74 Process 3761 finished Wed Jul 27 07:07:39 2022
% 18.53/18.74 Otter interrupted
% 18.53/18.74 PROOF FOUND
%------------------------------------------------------------------------------