TSTP Solution File: GEO011-3 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO011-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 12:54:06 EDT 2022
% Result : Unsatisfiable 2.74s 2.91s
% Output : Refutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 5
% Syntax : Number of clauses : 6 ( 5 unt; 1 nHn; 6 RR)
% Number of literals : 9 ( 0 equ; 4 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('GEO011-3.p',unknown),
[] ).
cnf(8,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('GEO011-3.p',unknown),
[] ).
cnf(9,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('GEO011-3.p',unknown),
[] ).
cnf(19,axiom,
( ~ colinear(A,B,C)
| between(A,B,C)
| between(B,C,A)
| between(C,A,B) ),
file('GEO011-3.p',unknown),
[] ).
cnf(163,axiom,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('GEO011-3.p',unknown),
[] ).
cnf(209,plain,
$false,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[163,19]),7,8,9]),
[iquote('hyper,163,19,unit_del,7,8,9')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO011-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 07:02:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.67/2.89 ----- Otter 3.3f, August 2004 -----
% 2.67/2.89 The process was started by sandbox on n007.cluster.edu,
% 2.67/2.89 Wed Jul 27 07:02:46 2022
% 2.67/2.89 The command was "./otter". The process ID is 30875.
% 2.67/2.89
% 2.67/2.89 set(prolog_style_variables).
% 2.67/2.89 set(auto).
% 2.67/2.89 dependent: set(auto1).
% 2.67/2.89 dependent: set(process_input).
% 2.67/2.89 dependent: clear(print_kept).
% 2.67/2.89 dependent: clear(print_new_demod).
% 2.67/2.89 dependent: clear(print_back_demod).
% 2.67/2.89 dependent: clear(print_back_sub).
% 2.67/2.89 dependent: set(control_memory).
% 2.67/2.89 dependent: assign(max_mem, 12000).
% 2.67/2.89 dependent: assign(pick_given_ratio, 4).
% 2.67/2.89 dependent: assign(stats_level, 1).
% 2.67/2.89 dependent: assign(max_seconds, 10800).
% 2.67/2.89 clear(print_given).
% 2.67/2.89
% 2.67/2.89 list(usable).
% 2.67/2.89 0 [] A=A.
% 2.67/2.89 0 [] e_quidistant(X,Y,Y,X).
% 2.67/2.89 0 [] -e_quidistant(X,Y,Z,V)| -e_quidistant(X,Y,V2,W)|e_quidistant(Z,V,V2,W).
% 2.67/2.89 0 [] -e_quidistant(X,Y,Z,Z)|X=Y.
% 2.67/2.89 0 [] between(X,Y,extension(X,Y,W,V)).
% 2.67/2.89 0 [] e_quidistant(Y,extension(X,Y,W,V),W,V).
% 2.67/2.89 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).
% 2.67/2.89 0 [] -between(X,Y,X)|X=Y.
% 2.67/2.89 0 [] -between(U,V,W)| -between(Y,X,W)|between(V,inner_pasch(U,V,W,X,Y),Y).
% 2.67/2.89 0 [] -between(U,V,W)| -between(Y,X,W)|between(X,inner_pasch(U,V,W,X,Y),U).
% 2.67/2.89 0 [] -between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3).
% 2.67/2.89 0 [] -between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1).
% 2.67/2.89 0 [] -between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2).
% 2.67/2.89 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.
% 2.67/2.89 0 [] -between(U,W,Y)| -between(V,W,X)|U=W|between(U,V,euclid1(U,V,W,X,Y)).
% 2.67/2.89 0 [] -between(U,W,Y)| -between(V,W,X)|U=W|between(U,X,euclid2(U,V,W,X,Y)).
% 2.67/2.89 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)).
% 2.67/2.89 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).
% 2.67/2.89 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)).
% 2.67/2.89 0 [] -between(X,Y,Z)|colinear(X,Y,Z).
% 2.67/2.89 0 [] -between(Y,Z,X)|colinear(X,Y,Z).
% 2.67/2.89 0 [] -between(Z,X,Y)|colinear(X,Y,Z).
% 2.67/2.89 0 [] -colinear(X,Y,Z)|between(X,Y,Z)|between(Y,Z,X)|between(Z,X,Y).
% 2.67/2.89 0 [] reflection(U,V)=extension(U,V,U,V).
% 2.67/2.89 0 [] insertion(U1,W1,U,V)=extension(extension(W1,U1,lower_dimension_point_1,lower_dimension_point_2),U1,U,V).
% 2.67/2.89 0 [] e_quidistant(U,V,U,V).
% 2.67/2.89 0 [] -e_quidistant(U,V,W,X)|e_quidistant(W,X,U,V).
% 2.67/2.89 0 [] -e_quidistant(U,V,W,X)|e_quidistant(V,U,W,X).
% 2.67/2.89 0 [] -e_quidistant(U,V,W,X)|e_quidistant(U,V,X,W).
% 2.67/2.89 0 [] -e_quidistant(U,V,W,X)|e_quidistant(V,U,X,W).
% 2.67/2.89 0 [] -e_quidistant(U,V,W,X)|e_quidistant(W,X,V,U).
% 2.67/2.89 0 [] -e_quidistant(U,V,W,X)|e_quidistant(X,W,U,V).
% 2.67/2.89 0 [] -e_quidistant(U,V,W,X)|e_quidistant(X,W,V,U).
% 2.67/2.89 0 [] -e_quidistant(U,V,W,X)| -e_quidistant(W,X,Y,Z)|e_quidistant(U,V,Y,Z).
% 2.67/2.89 0 [] V=extension(U,V,W,W).
% 2.67/2.89 0 [] Y!=extension(U,V,W,X)|between(U,V,Y).
% 2.67/2.89 0 [] between(U,V,reflection(U,V)).
% 2.67/2.89 0 [] e_quidistant(V,reflection(U,V),U,V).
% 2.67/2.89 0 [] U!=V|V=reflection(U,V).
% 2.67/2.89 0 [] U=reflection(U,U).
% 2.67/2.89 0 [] V!=reflection(U,V)|U=V.
% 2.67/2.89 0 [] e_quidistant(U,U,V,V).
% 2.67/2.89 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).
% 2.67/2.89 0 [] -between(U,V,W)| -between(U,V,X)| -e_quidistant(V,W,V,X)|U=V|W=X.
% 2.67/2.89 0 [] -between(U,V,W)|U=V|W=extension(U,V,V,W).
% 2.67/2.89 0 [] -e_quidistant(W,X,Y,Z)|extension(U,V,W,X)=extension(U,V,Y,Z)|U=V.
% 2.67/2.89 0 [] extension(U,V,U,V)=extension(U,V,V,U)|U=V.
% 2.67/2.89 0 [] e_quidistant(V,U,V,reflection(reflection(U,V),V)).
% 2.67/2.89 0 [] U=reflection(reflection(U,V),V).
% 2.67/2.89 0 [] between(U,V,V).
% 2.67/2.89 0 [] -between(U,W,X)|U!=X|between(V,W,X).
% 2.67/2.89 0 [] -between(U,V,W)|between(W,V,U).
% 2.67/2.89 0 [] between(U,U,V).
% 2.67/2.89 0 [] -between(U,V,W)| -between(V,U,W)|U=V.
% 2.67/2.89 0 [] -between(U,V,W)| -between(U,W,V)|V=W.
% 2.67/2.89 0 [] -between(U,V,W)| -between(V,U,W)|U=V|V=W.
% 2.67/2.89 0 [] -between(U,V,W)| -between(U,W,V)|U=V|V=W.
% 2.67/2.89 0 [] -between(U,V,W)| -between(V,W,X)|between(U,V,W).
% 2.67/2.89 0 [] -between(U,V,W)| -between(U,W,X)|between(V,W,X).
% 2.67/2.89 0 [] -between(U,V,W)| -between(V,W,X)|between(U,W,X)|V=W.
% 2.67/2.89 0 [] -between(U,V,W)| -between(V,W,X)|between(U,V,X)|V=W.
% 2.67/2.89 0 [] -between(U,V,X)| -between(V,W,X)|between(U,W,X).
% 2.67/2.89 0 [] -between(U,V,W)| -between(U,W,X)|between(U,V,X).
% 2.67/2.89 0 [] lower_dimension_point_1!=lower_dimension_point_2.
% 2.67/2.89 0 [] lower_dimension_point_2!=lower_dimension_point_3.
% 2.67/2.89 0 [] lower_dimension_point_1!=lower_dimension_point_3.
% 2.67/2.89 0 [] V!=extension(U,V,lower_dimension_point_1,lower_dimension_point_2).
% 2.67/2.89 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)).
% 2.67/2.89 0 [] between(U,V,extension(U,V,lower_dimension_point_1,lower_dimension_point_2)).
% 2.67/2.89 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).
% 2.67/2.89 0 [] -between(U,V,W)| -e_quidistant(U,W,U,W1)| -e_quidistant(V,W,V,W1)|U=V|W=W1.
% 2.67/2.89 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).
% 2.67/2.89 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).
% 2.67/2.89 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).
% 2.67/2.89 0 [] -between(U,V,W)| -e_quidistant(U,V,U,X)| -e_quidistant(W,V,W,X)|V=X.
% 2.67/2.89 0 [] e_quidistant(U,V,U1,insertion(U1,W1,U,V)).
% 2.67/2.89 0 [] -between(U,V,W)| -e_quidistant(U,W,U1,W1)|between(U1,insertion(U1,W1,U,V),W1).
% 2.67/2.89 0 [] -between(U,V,W)| -e_quidistant(U,W,U1,W1)|e_quidistant(V,W,insertion(U1,W1,U,V),W1).
% 2.67/2.89 0 [] -between(U,V,W)|V=insertion(U,W,U,V).
% 2.67/2.89 0 [] -e_quidistant(W,X,Y,Z)|insertion(U,V,W,X)=insertion(U,V,Y,Z).
% 2.67/2.89 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).
% 2.67/2.89 0 [] -between(U,V,W)| -between(U,V,X)|U=V|between(U,W,X)|between(U,X,W).
% 2.67/2.89 0 [] -between(U,V,W)| -between(U,V,X)|U=V|between(V,W,X)|between(V,X,W).
% 2.67/2.89 0 [] -between(U,W,X)| -between(V,W,X)|W=X|between(U,V,W)|between(V,U,W).
% 2.67/2.89 0 [] -between(U,V,X)| -between(U,W,X)|between(U,V,W)|between(U,W,V).
% 2.67/2.89 0 [] -between(U,V,X)| -between(U,W,X)|between(V,W,X)|between(W,V,X).
% 2.67/2.89 0 [] -between(U,V,Y)| -between(V,W,X)| -between(U,X,Y)|between(U,W,Y).
% 2.67/2.89 0 [] -between(U,V,W)| -e_quidistant(U,V,U,W)|V=W.
% 2.67/2.89 0 [] -between(W,V,U)|colinear(U,V,W).
% 2.67/2.89 0 [] -between(U,W,V)|colinear(U,V,W).
% 2.67/2.89 0 [] -between(V,U,W)|colinear(U,V,W).
% 2.67/2.89 0 [] -colinear(U,V,W)|colinear(W,V,U).
% 2.67/2.89 0 [] -colinear(U,V,W)|colinear(V,W,U).
% 2.67/2.89 0 [] -colinear(U,V,W)|colinear(U,W,V).
% 2.67/2.89 0 [] -colinear(U,V,W)|colinear(W,U,V).
% 2.67/2.89 0 [] -colinear(U,V,W)|colinear(V,U,W).
% 2.67/2.89 0 [] colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3).
% 2.67/2.89 end_of_list.
% 2.67/2.89
% 2.67/2.89 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 2.67/2.89
% 2.67/2.89 This ia a non-Horn set with equality. The strategy will be
% 2.67/2.89 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.67/2.89 deletion, with positive clauses in sos and nonpositive
% 2.67/2.89 clauses in usable.
% 2.67/2.89
% 2.67/2.89 dependent: set(knuth_bendix).
% 2.67/2.89 dependent: set(anl_eq).
% 2.67/2.89 dependent: set(para_from).
% 2.67/2.89 dependent: set(para_into).
% 2.67/2.89 dependent: clear(para_from_right).
% 2.67/2.89 dependent: clear(para_into_right).
% 2.67/2.89 dependent: set(para_from_vars).
% 2.67/2.89 dependent: set(eq_units_both_ways).
% 2.67/2.89 dependent: set(dynamic_demod_all).
% 2.67/2.89 dependent: set(dynamic_demod).
% 2.67/2.89 dependent: set(order_eq).
% 2.67/2.89 dependent: set(back_demod).
% 2.67/2.89 dependent: set(lrpo).
% 2.67/2.89 dependent: set(hyper_res).
% 2.67/2.89 dependent: set(unit_deletion).
% 2.67/2.89 dependent: set(factor).
% 2.67/2.89
% 2.67/2.89 ------------> process usable:
% 2.67/2.89 ** KEPT (pick-wt=15): 1 [] -e_quidistant(A,B,C,D)| -e_quidistant(A,B,E,F)|e_quidistant(C,D,E,F).
% 2.67/2.89 ** KEPT (pick-wt=8): 2 [] -e_quidistant(A,B,C,C)|A=B.
% 2.67/2.89 ** 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).
% 2.67/2.89 ** KEPT (pick-wt=7): 4 [] -between(A,B,A)|A=B.
% 2.67/2.89 ** KEPT (pick-wt=17): 5 [] -between(A,B,C)| -between(D,E,C)|between(B,inner_pasch(A,B,C,E,D),D).
% 2.67/2.89 ** KEPT (pick-wt=17): 6 [] -between(A,B,C)| -between(D,E,C)|between(E,inner_pasch(A,B,C,E,D),A).
% 2.74/2.91 ** KEPT (pick-wt=4): 7 [] -between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3).
% 2.74/2.91 ** KEPT (pick-wt=4): 8 [] -between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1).
% 2.74/2.91 ** KEPT (pick-wt=4): 9 [] -between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2).
% 2.74/2.91 ** 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.
% 2.74/2.91 ** KEPT (pick-wt=20): 11 [] -between(A,B,C)| -between(D,B,E)|A=B|between(A,D,euclid1(A,D,B,E,C)).
% 2.74/2.91 ** KEPT (pick-wt=20): 12 [] -between(A,B,C)| -between(D,B,E)|A=B|between(A,E,euclid2(A,D,B,E,C)).
% 2.74/2.91 ** 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)).
% 2.74/2.91 ** 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).
% 2.74/2.91 ** 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)).
% 2.74/2.91 ** KEPT (pick-wt=8): 16 [] -between(A,B,C)|colinear(A,B,C).
% 2.74/2.91 ** KEPT (pick-wt=8): 17 [] -between(A,B,C)|colinear(C,A,B).
% 2.74/2.91 ** KEPT (pick-wt=8): 18 [] -between(A,B,C)|colinear(B,C,A).
% 2.74/2.91 ** KEPT (pick-wt=16): 19 [] -colinear(A,B,C)|between(A,B,C)|between(B,C,A)|between(C,A,B).
% 2.74/2.91 ** KEPT (pick-wt=10): 20 [] -e_quidistant(A,B,C,D)|e_quidistant(C,D,A,B).
% 2.74/2.91 ** KEPT (pick-wt=10): 21 [] -e_quidistant(A,B,C,D)|e_quidistant(B,A,C,D).
% 2.74/2.91 ** KEPT (pick-wt=10): 22 [] -e_quidistant(A,B,C,D)|e_quidistant(A,B,D,C).
% 2.74/2.91 ** KEPT (pick-wt=10): 23 [] -e_quidistant(A,B,C,D)|e_quidistant(B,A,D,C).
% 2.74/2.91 ** KEPT (pick-wt=10): 24 [] -e_quidistant(A,B,C,D)|e_quidistant(C,D,B,A).
% 2.74/2.91 ** KEPT (pick-wt=10): 25 [] -e_quidistant(A,B,C,D)|e_quidistant(D,C,A,B).
% 2.74/2.91 ** KEPT (pick-wt=10): 26 [] -e_quidistant(A,B,C,D)|e_quidistant(D,C,B,A).
% 2.74/2.91 ** KEPT (pick-wt=15): 27 [] -e_quidistant(A,B,C,D)| -e_quidistant(C,D,E,F)|e_quidistant(A,B,E,F).
% 2.74/2.91 ** KEPT (pick-wt=11): 28 [] A!=extension(B,C,D,E)|between(B,C,A).
% 2.74/2.91 ** KEPT (pick-wt=8): 30 [copy,29,flip.2] A!=B|reflection(A,B)=B.
% 2.74/2.91 ** KEPT (pick-wt=8): 32 [copy,31,flip.1] reflection(A,B)!=B|A=B.
% 2.74/2.91 ** KEPT (pick-wt=23): 33 [] -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).
% 2.74/2.91 ** KEPT (pick-wt=19): 34 [] -between(A,B,C)| -between(A,B,D)| -e_quidistant(B,C,B,D)|A=B|C=D.
% 2.74/2.91 ** KEPT (pick-wt=14): 36 [copy,35,flip.3] -between(A,B,C)|A=B|extension(A,B,B,C)=C.
% 2.74/2.91 ** KEPT (pick-wt=19): 37 [] -e_quidistant(A,B,C,D)|extension(E,F,A,B)=extension(E,F,C,D)|E=F.
% 2.74/2.91 ** KEPT (pick-wt=11): 38 [] -between(A,B,C)|A!=C|between(D,B,C).
% 2.74/2.91 ** KEPT (pick-wt=8): 39 [] -between(A,B,C)|between(C,B,A).
% 2.74/2.91 ** KEPT (pick-wt=11): 40 [] -between(A,B,C)| -between(B,A,C)|A=B.
% 2.74/2.91 ** KEPT (pick-wt=11): 41 [] -between(A,B,C)| -between(A,C,B)|B=C.
% 2.74/2.91 Following clause subsumed by 40 during input processing: 0 [] -between(A,B,C)| -between(B,A,C)|A=B|B=C.
% 2.74/2.91 Following clause subsumed by 41 during input processing: 0 [] -between(A,B,C)| -between(A,C,B)|A=B|B=C.
% 2.74/2.91 ** KEPT (pick-wt=12): 42 [] -between(A,B,C)| -between(A,C,D)|between(B,C,D).
% 2.74/2.91 ** KEPT (pick-wt=15): 43 [] -between(A,B,C)| -between(B,C,D)|between(A,C,D)|B=C.
% 2.74/2.91 ** KEPT (pick-wt=15): 44 [] -between(A,B,C)| -between(B,C,D)|between(A,B,D)|B=C.
% 2.74/2.91 ** KEPT (pick-wt=12): 45 [] -between(A,B,C)| -between(B,D,C)|between(A,D,C).
% 2.74/2.91 ** KEPT (pick-wt=12): 46 [] -between(A,B,C)| -between(A,C,D)|between(A,B,D).
% 2.74/2.91 ** KEPT (pick-wt=3): 48 [copy,47,flip.1] lower_dimension_point_2!=lower_dimension_point_1.
% 2.74/2.91 ** KEPT (pick-wt=3): 50 [copy,49,flip.1] lower_dimension_point_3!=lower_dimension_point_2.
% 2.74/2.91 ** KEPT (pick-wt=3): 52 [copy,51,flip.1] lower_dimension_point_3!=lower_dimension_point_1.
% 2.74/2.91 ** KEPT (pick-wt=7): 54 [copy,53,flip.1] extension(A,B,lower_dimension_point_1,lower_dimension_point_2)!=B.
% 2.74/2.91 ** KEPT (pick-wt=40): 55 [] -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).
% 2.74/2.91 ** KEPT (pick-wt=20): 56 [] -between(A,B,C)| -e_quidistant(A,C,A,D)| -e_quidistant(B,C,B,D)|A=B|C=D.
% 2.74/2.91 ** KEPT (pick-wt=33): 57 [] -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).
% 2.74/2.91 ** KEPT (pick-wt=23): 58 [] -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).
% 2.74/2.91 ** KEPT (pick-wt=33): 59 [] -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).
% 2.74/2.91 ** KEPT (pick-wt=17): 60 [] -between(A,B,C)| -e_quidistant(A,B,A,D)| -e_quidistant(C,B,C,D)|B=D.
% 2.74/2.91 ** KEPT (pick-wt=17): 61 [] -between(A,B,C)| -e_quidistant(A,C,D,E)|between(D,insertion(D,E,A,B),E).
% 2.74/2.91 ** KEPT (pick-wt=18): 62 [] -between(A,B,C)| -e_quidistant(A,C,D,E)|e_quidistant(B,C,insertion(D,E,A,B),E).
% 2.74/2.91 ** KEPT (pick-wt=11): 64 [copy,63,flip.2] -between(A,B,C)|insertion(A,C,A,B)=B.
% 2.74/2.91 ** KEPT (pick-wt=16): 65 [] -e_quidistant(A,B,C,D)|insertion(E,F,A,B)=insertion(E,F,C,D).
% 2.74/2.91 ** KEPT (pick-wt=23): 66 [] -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).
% 2.74/2.91 ** KEPT (pick-wt=19): 67 [] -between(A,B,C)| -between(A,B,D)|A=B|between(A,C,D)|between(A,D,C).
% 2.74/2.91 ** KEPT (pick-wt=19): 68 [] -between(A,B,C)| -between(A,B,D)|A=B|between(B,C,D)|between(B,D,C).
% 2.74/2.91 ** KEPT (pick-wt=19): 69 [] -between(A,B,C)| -between(D,B,C)|B=C|between(A,D,B)|between(D,A,B).
% 2.74/2.91 ** KEPT (pick-wt=16): 70 [] -between(A,B,C)| -between(A,D,C)|between(A,B,D)|between(A,D,B).
% 2.74/2.91 ** KEPT (pick-wt=16): 71 [] -between(A,B,C)| -between(A,D,C)|between(B,D,C)|between(D,B,C).
% 2.74/2.91 ** KEPT (pick-wt=16): 72 [] -between(A,B,C)| -between(B,D,E)| -between(A,E,C)|between(A,D,C).
% 2.74/2.91 ** KEPT (pick-wt=12): 73 [] -between(A,B,C)| -e_quidistant(A,B,A,C)|B=C.
% 2.74/2.91 ** KEPT (pick-wt=8): 74 [] -between(A,B,C)|colinear(C,B,A).
% 2.74/2.91 ** KEPT (pick-wt=8): 75 [] -between(A,B,C)|colinear(A,C,B).
% 2.74/2.91 ** KEPT (pick-wt=8): 76 [] -between(A,B,C)|colinear(B,A,C).
% 2.74/2.91 ** KEPT (pick-wt=8): 77 [] -colinear(A,B,C)|colinear(C,B,A).
% 2.74/2.91 ** KEPT (pick-wt=8): 78 [] -colinear(A,B,C)|colinear(B,C,A).
% 2.74/2.91 ** KEPT (pick-wt=8): 79 [] -colinear(A,B,C)|colinear(A,C,B).
% 2.74/2.91 ** KEPT (pick-wt=8): 80 [] -colinear(A,B,C)|colinear(C,A,B).
% 2.74/2.91 ** KEPT (pick-wt=8): 81 [] -colinear(A,B,C)|colinear(B,A,C).
% 2.74/2.91 123 back subsumes 100.
% 2.74/2.91
% 2.74/2.91 ------------> process sos:
% 2.74/2.91 ** KEPT (pick-wt=3): 139 [] A=A.
% 2.74/2.91 ** KEPT (pick-wt=5): 140 [] e_quidistant(A,B,B,A).
% 2.74/2.91 ** KEPT (pick-wt=8): 141 [] between(A,B,extension(A,B,C,D)).
% 2.74/2.91 ** KEPT (pick-wt=9): 142 [] e_quidistant(A,extension(B,A,C,D),C,D).
% 2.74/2.91 ** KEPT (pick-wt=9): 143 [] reflection(A,B)=extension(A,B,A,B).
% 2.74/2.91 ---> New Demodulator: 144 [new_demod,143] reflection(A,B)=extension(A,B,A,B).
% 2.74/2.91 ** KEPT (pick-wt=15): 145 [] insertion(A,B,C,D)=extension(extension(B,A,lower_dimension_point_1,lower_dimension_point_2),A,C,D).
% 2.74/2.91 ---> New Demodulator: 146 [new_demod,145] insertion(A,B,C,D)=extension(extension(B,A,lower_dimension_point_1,lower_dimension_point_2),A,C,D).
% 2.74/2.91 ** KEPT (pick-wt=5): 147 [] e_quidistant(A,B,A,B).
% 2.74/2.91 ** KEPT (pick-wt=7): 149 [copy,148,flip.1] extension(A,B,C,C)=B.
% 2.74/2.91 ---> New Demodulator: 150 [new_demod,149] extension(A,B,C,C)=B.
% 2.74/2.91 Following clause subsumed by 141 during input processing: 0 [demod,144] between(A,B,extension(A,B,A,B)).
% 2.74/2.91 Following clause subsumed by 142 during input processing: 0 [demod,144] e_quidistant(A,extension(B,A,B,A),B,A).
% 2.74/2.91 Following clause subsumed by 139 during input processing: 0 [demod,144,150] A=A.
% 2.74/2.91 ** KEPT (pick-wt=5): 151 [] e_quidistant(A,A,B,B).
% 2.74/2.91 ** KEPT (pick-wt=14): 152 [] extension(A,B,A,B)=extension(A,B,B,A)|A=B.
% 2.74/2.91 ** KEPT (pick-wt=17): 154 [copy,153,demod,144,144] e_quidistant(A,B,A,extension(extension(B,A,B,A),A,extension(B,A,B,A),A)).
% 2.74/2.91 ** KEPT (pick-wt=15): 156 [copy,155,demod,144,144,flip.1] extension(extension(A,B,A,B),B,extension(A,B,A,B),B)=A.
% 2.74/2.91 ---> New Demodulator: 157 [new_demod,156] extension(extension(A,B,A,B),B,extension(A,B,A,B),B)=A.
% 2.74/2.91 ** KEPT (pick-wt=4): 158 [] between(A,B,B).
% 2.74/2.91 ** KEPT (pick-wt=4): 159 [] between(A,A,B).
% 2.74/2.91 ** KEPT (pick-wt=13): 160 [] 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)).
% 2.74/2.91 Following clause subsumed by 141 during input processing: 0 [] between(A,B,extension(A,B,lower_dimension_point_1,lower_dimension_point_2)).
% 2.74/2.91 ** KEPT (pick-wt=13): 162 [copy,161,demod,146] e_quidistant(A,B,C,extension(extension(D,C,lower_dimension_point_1,lower_dimension_point_2),C,A,B)).
% 2.74/2.91 ** KEPT (pick-wt=4): 163 [] colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3).
% 2.74/2.91 Following clause subsumed by 139 during input processing: 0 [copy,139,flip.1] A=A.
% 2.74/2.91 139 back subsumes 99.
% 2.74/2.91 139 back subsumes 98.
% 2.74/2.91 139 back subsumes 97.
% 2.74/2.91 140 back subsumes 137.
% 2.74/2.91 140 back subsumes 136.
% 2.74/2.91 140 back subsumes 135.
% 2.74/2.91 140 back subsumes 133.
% 2.74/2.91 140 back subsumes 132.
% 2.74/2.91 140 back subsumes 125.
% 2.74/2.91 >>>> Starting back demodulation with 144.
% 2.74/2.91 >> back demodulating 32 with 144.
% 2.74/2.91 >> back demodulating 30 with 144.
% 2.74/2.91 >>>> Starting back demodulation with 146.
% 2.74/2.91 >> back demodulating 65 with 146.
% 2.74/2.91 >> back demodulating 64 with 146.
% 2.74/2.91 >> back demodulating 62 with 146.
% 2.74/2.91 >> back demodulating 61 with 146.
% 2.74/2.91 147 back subsumes 109.
% 2.74/2.91 147 back subsumes 96.
% 2.74/2.91 147 back subsumes 82.
% 2.74/2.91 >>>> Starting back demodulation with 150.
% 2.74/2.91 151 back subsumes 112.
% 2.74/2.91 151 back subsumes 111.
% 2.74/2.91 151 back subsumes 110.
% 2.74/2.91 151 back subsumes 106.
% 2.74/2.91 151 back subsumes 105.
% 2.74/2.91 151 back subsumes 83.
% 2.74/2.91 >>>> Starting back demodulation with 157.
% 2.74/2.91 >> back demodulating 154 with 157.
% 2.74/2.91 158 back subsumes 122.
% 2.74/2.91 158 back subsumes 120.
% 2.74/2.91 158 back subsumes 119.
% 2.74/2.91 158 back subsumes 117.
% 2.74/2.91 158 back subsumes 116.
% 2.74/2.91 158 back subsumes 95.
% 2.74/2.91 158 back subsumes 87.
% 2.74/2.91 158 back subsumes 86.
% 2.74/2.91 159 back subsumes 123.
% 2.74/2.91 159 back subsumes 121.
% 2.74/2.91 159 back subsumes 118.
% 2.74/2.91 159 back subsumes 88.
% 2.74/2.91
% 2.74/2.91 ======= end of input processing =======
% 2.74/2.91
% 2.74/2.91 =========== start of search ===========
% 2.74/2.91
% 2.74/2.91 -------- PROOF --------
% 2.74/2.91
% 2.74/2.91 -----> EMPTY CLAUSE at 0.03 sec ----> 209 [hyper,163,19,unit_del,7,8,9] $F.
% 2.74/2.91
% 2.74/2.91 Length of proof is 0. Level of proof is 0.
% 2.74/2.91
% 2.74/2.91 ---------------- PROOF ----------------
% 2.74/2.91 % SZS status Unsatisfiable
% 2.74/2.91 % SZS output start Refutation
% See solution above
% 2.74/2.91 ------------ end of proof -------------
% 2.74/2.91
% 2.74/2.91
% 2.74/2.91 Search stopped by max_proofs option.
% 2.74/2.91
% 2.74/2.91
% 2.74/2.91 Search stopped by max_proofs option.
% 2.74/2.91
% 2.74/2.91 ============ end of search ============
% 2.74/2.91
% 2.74/2.91 -------------- statistics -------------
% 2.74/2.91 clauses given 4
% 2.74/2.91 clauses generated 391
% 2.74/2.91 clauses kept 192
% 2.74/2.91 clauses forward subsumed 260
% 2.74/2.91 clauses back subsumed 40
% 2.74/2.91 Kbytes malloced 1953
% 2.74/2.91
% 2.74/2.91 ----------- times (seconds) -----------
% 2.74/2.91 user CPU time 0.03 (0 hr, 0 min, 0 sec)
% 2.74/2.91 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.74/2.91 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.74/2.91
% 2.74/2.91 That finishes the proof of the theorem.
% 2.74/2.91
% 2.74/2.91 Process 30875 finished Wed Jul 27 07:02:48 2022
% 2.74/2.91 Otter interrupted
% 2.74/2.91 PROOF FOUND
%------------------------------------------------------------------------------