TSTP Solution File: GEO007-3 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO007-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n005.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 3.25s 3.48s
% Output : Refutation 3.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 11 unt; 2 nHn; 14 RR)
% Number of literals : 20 ( 3 equ; 7 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(35,axiom,
( ~ between(A,B,C)
| between(C,B,A) ),
file('GEO007-3.p',unknown),
[] ).
cnf(64,axiom,
( ~ between(A,B,C)
| ~ between(A,B,D)
| A = B
| between(B,C,D)
| between(B,D,C) ),
file('GEO007-3.p',unknown),
[] ).
cnf(65,axiom,
a != c,
file('GEO007-3.p',unknown),
[] ).
cnf(66,plain,
c != a,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[65])]),
[iquote('copy,65,flip.1')] ).
cnf(67,axiom,
~ between(d,e,a),
file('GEO007-3.p',unknown),
[] ).
cnf(68,axiom,
~ between(e,d,a),
file('GEO007-3.p',unknown),
[] ).
cnf(145,axiom,
between(d,a,c),
file('GEO007-3.p',unknown),
[] ).
cnf(146,axiom,
between(e,a,c),
file('GEO007-3.p',unknown),
[] ).
cnf(203,plain,
between(c,a,d),
inference(hyper,[status(thm)],[145,35]),
[iquote('hyper,145,35')] ).
cnf(322,plain,
between(c,a,e),
inference(hyper,[status(thm)],[146,35]),
[iquote('hyper,146,35')] ).
cnf(568,plain,
( between(a,d,e)
| between(a,e,d) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[322,64,203]),66]),
[iquote('hyper,322,64,203,unit_del,66')] ).
cnf(2197,plain,
between(a,e,d),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[568,35]),68]),
[iquote('hyper,568,35,unit_del,68')] ).
cnf(2204,plain,
between(d,e,a),
inference(hyper,[status(thm)],[2197,35]),
[iquote('hyper,2197,35')] ).
cnf(2205,plain,
$false,
inference(binary,[status(thm)],[2204,67]),
[iquote('binary,2204.1,67.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO007-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 07:07:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.26/2.45 ----- Otter 3.3f, August 2004 -----
% 2.26/2.45 The process was started by sandbox2 on n005.cluster.edu,
% 2.26/2.45 Wed Jul 27 07:07:20 2022
% 2.26/2.45 The command was "./otter". The process ID is 23849.
% 2.26/2.45
% 2.26/2.45 set(prolog_style_variables).
% 2.26/2.45 set(auto).
% 2.26/2.45 dependent: set(auto1).
% 2.26/2.45 dependent: set(process_input).
% 2.26/2.45 dependent: clear(print_kept).
% 2.26/2.45 dependent: clear(print_new_demod).
% 2.26/2.45 dependent: clear(print_back_demod).
% 2.26/2.45 dependent: clear(print_back_sub).
% 2.26/2.45 dependent: set(control_memory).
% 2.26/2.45 dependent: assign(max_mem, 12000).
% 2.26/2.45 dependent: assign(pick_given_ratio, 4).
% 2.26/2.45 dependent: assign(stats_level, 1).
% 2.26/2.45 dependent: assign(max_seconds, 10800).
% 2.26/2.45 clear(print_given).
% 2.26/2.45
% 2.26/2.45 list(usable).
% 2.26/2.45 0 [] A=A.
% 2.26/2.45 0 [] e_quidistant(X,Y,Y,X).
% 2.26/2.45 0 [] -e_quidistant(X,Y,Z,V)| -e_quidistant(X,Y,V2,W)|e_quidistant(Z,V,V2,W).
% 2.26/2.45 0 [] -e_quidistant(X,Y,Z,Z)|X=Y.
% 2.26/2.45 0 [] between(X,Y,extension(X,Y,W,V)).
% 2.26/2.45 0 [] e_quidistant(Y,extension(X,Y,W,V),W,V).
% 2.26/2.45 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).
% 2.26/2.45 0 [] -between(X,Y,X)|X=Y.
% 2.26/2.45 0 [] -between(U,V,W)| -between(Y,X,W)|between(V,inner_pasch(U,V,W,X,Y),Y).
% 2.26/2.45 0 [] -between(U,V,W)| -between(Y,X,W)|between(X,inner_pasch(U,V,W,X,Y),U).
% 2.26/2.45 0 [] -between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3).
% 2.26/2.45 0 [] -between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1).
% 2.26/2.45 0 [] -between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2).
% 2.26/2.45 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.
% 2.26/2.45 0 [] -between(U,W,Y)| -between(V,W,X)|U=W|between(U,V,euclid1(U,V,W,X,Y)).
% 2.26/2.45 0 [] -between(U,W,Y)| -between(V,W,X)|U=W|between(U,X,euclid2(U,V,W,X,Y)).
% 2.26/2.45 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)).
% 2.26/2.45 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).
% 2.26/2.45 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)).
% 2.26/2.45 0 [] reflection(U,V)=extension(U,V,U,V).
% 2.26/2.45 0 [] insertion(U1,W1,U,V)=extension(extension(W1,U1,lower_dimension_point_1,lower_dimension_point_2),U1,U,V).
% 2.26/2.45 0 [] e_quidistant(U,V,U,V).
% 2.26/2.45 0 [] -e_quidistant(U,V,W,X)|e_quidistant(W,X,U,V).
% 2.26/2.45 0 [] -e_quidistant(U,V,W,X)|e_quidistant(V,U,W,X).
% 2.26/2.45 0 [] -e_quidistant(U,V,W,X)|e_quidistant(U,V,X,W).
% 2.26/2.45 0 [] -e_quidistant(U,V,W,X)|e_quidistant(V,U,X,W).
% 2.26/2.45 0 [] -e_quidistant(U,V,W,X)|e_quidistant(W,X,V,U).
% 2.26/2.45 0 [] -e_quidistant(U,V,W,X)|e_quidistant(X,W,U,V).
% 2.26/2.45 0 [] -e_quidistant(U,V,W,X)|e_quidistant(X,W,V,U).
% 2.26/2.45 0 [] -e_quidistant(U,V,W,X)| -e_quidistant(W,X,Y,Z)|e_quidistant(U,V,Y,Z).
% 2.26/2.45 0 [] V=extension(U,V,W,W).
% 2.26/2.45 0 [] Y!=extension(U,V,W,X)|between(U,V,Y).
% 2.26/2.45 0 [] between(U,V,reflection(U,V)).
% 2.26/2.45 0 [] e_quidistant(V,reflection(U,V),U,V).
% 2.26/2.45 0 [] U!=V|V=reflection(U,V).
% 2.26/2.45 0 [] U=reflection(U,U).
% 2.26/2.45 0 [] V!=reflection(U,V)|U=V.
% 2.26/2.45 0 [] e_quidistant(U,U,V,V).
% 2.26/2.45 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).
% 2.26/2.45 0 [] -between(U,V,W)| -between(U,V,X)| -e_quidistant(V,W,V,X)|U=V|W=X.
% 2.26/2.45 0 [] -between(U,V,W)|U=V|W=extension(U,V,V,W).
% 2.26/2.45 0 [] -e_quidistant(W,X,Y,Z)|extension(U,V,W,X)=extension(U,V,Y,Z)|U=V.
% 2.26/2.45 0 [] extension(U,V,U,V)=extension(U,V,V,U)|U=V.
% 2.26/2.45 0 [] e_quidistant(V,U,V,reflection(reflection(U,V),V)).
% 2.26/2.45 0 [] U=reflection(reflection(U,V),V).
% 2.26/2.45 0 [] between(U,V,V).
% 2.26/2.45 0 [] -between(U,W,X)|U!=X|between(V,W,X).
% 2.26/2.45 0 [] -between(U,V,W)|between(W,V,U).
% 2.26/2.45 0 [] between(U,U,V).
% 2.26/2.45 0 [] -between(U,V,W)| -between(V,U,W)|U=V.
% 2.26/2.45 0 [] -between(U,V,W)| -between(U,W,V)|V=W.
% 2.26/2.45 0 [] -between(U,V,W)| -between(V,U,W)|U=V|V=W.
% 2.26/2.45 0 [] -between(U,V,W)| -between(U,W,V)|U=V|V=W.
% 2.26/2.45 0 [] -between(U,V,W)| -between(V,W,X)|between(U,V,W).
% 2.26/2.45 0 [] -between(U,V,W)| -between(U,W,X)|between(V,W,X).
% 2.26/2.45 0 [] -between(U,V,W)| -between(V,W,X)|between(U,W,X)|V=W.
% 2.26/2.45 0 [] -between(U,V,W)| -between(V,W,X)|between(U,V,X)|V=W.
% 2.26/2.45 0 [] -between(U,V,X)| -between(V,W,X)|between(U,W,X).
% 2.26/2.45 0 [] -between(U,V,W)| -between(U,W,X)|between(U,V,X).
% 2.26/2.45 0 [] lower_dimension_point_1!=lower_dimension_point_2.
% 2.26/2.45 0 [] lower_dimension_point_2!=lower_dimension_point_3.
% 2.26/2.45 0 [] lower_dimension_point_1!=lower_dimension_point_3.
% 2.26/2.45 0 [] V!=extension(U,V,lower_dimension_point_1,lower_dimension_point_2).
% 2.26/2.45 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)).
% 2.26/2.45 0 [] between(U,V,extension(U,V,lower_dimension_point_1,lower_dimension_point_2)).
% 2.26/2.45 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).
% 2.26/2.45 0 [] -between(U,V,W)| -e_quidistant(U,W,U,W1)| -e_quidistant(V,W,V,W1)|U=V|W=W1.
% 2.26/2.45 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).
% 2.26/2.45 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).
% 2.26/2.45 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).
% 2.26/2.45 0 [] -between(U,V,W)| -e_quidistant(U,V,U,X)| -e_quidistant(W,V,W,X)|V=X.
% 2.26/2.45 0 [] e_quidistant(U,V,U1,insertion(U1,W1,U,V)).
% 2.26/2.45 0 [] -between(U,V,W)| -e_quidistant(U,W,U1,W1)|between(U1,insertion(U1,W1,U,V),W1).
% 2.26/2.45 0 [] -between(U,V,W)| -e_quidistant(U,W,U1,W1)|e_quidistant(V,W,insertion(U1,W1,U,V),W1).
% 2.26/2.45 0 [] -between(U,V,W)|V=insertion(U,W,U,V).
% 2.26/2.45 0 [] -e_quidistant(W,X,Y,Z)|insertion(U,V,W,X)=insertion(U,V,Y,Z).
% 2.26/2.45 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).
% 2.26/2.45 0 [] -between(U,V,W)| -between(U,V,X)|U=V|between(U,W,X)|between(U,X,W).
% 2.26/2.45 0 [] -between(U,V,W)| -between(U,V,X)|U=V|between(V,W,X)|between(V,X,W).
% 2.26/2.45 0 [] a!=c.
% 2.26/2.45 0 [] between(d,a,c).
% 2.26/2.45 0 [] between(e,a,c).
% 2.26/2.45 0 [] -between(d,e,a).
% 2.26/2.45 0 [] -between(e,d,a).
% 2.26/2.45 end_of_list.
% 2.26/2.45
% 2.26/2.45 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 2.26/2.45
% 2.26/2.45 This ia a non-Horn set with equality. The strategy will be
% 2.26/2.45 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.26/2.45 deletion, with positive clauses in sos and nonpositive
% 2.26/2.45 clauses in usable.
% 2.26/2.45
% 2.26/2.45 dependent: set(knuth_bendix).
% 2.26/2.45 dependent: set(anl_eq).
% 2.26/2.45 dependent: set(para_from).
% 2.26/2.45 dependent: set(para_into).
% 2.26/2.45 dependent: clear(para_from_right).
% 2.26/2.45 dependent: clear(para_into_right).
% 2.26/2.45 dependent: set(para_from_vars).
% 2.26/2.45 dependent: set(eq_units_both_ways).
% 2.26/2.45 dependent: set(dynamic_demod_all).
% 2.26/2.45 dependent: set(dynamic_demod).
% 2.26/2.45 dependent: set(order_eq).
% 2.26/2.45 dependent: set(back_demod).
% 2.26/2.45 dependent: set(lrpo).
% 2.26/2.45 dependent: set(hyper_res).
% 2.26/2.45 dependent: set(unit_deletion).
% 2.26/2.45 dependent: set(factor).
% 2.26/2.45
% 2.26/2.45 ------------> process usable:
% 2.26/2.45 ** KEPT (pick-wt=15): 1 [] -e_quidistant(A,B,C,D)| -e_quidistant(A,B,E,F)|e_quidistant(C,D,E,F).
% 2.26/2.45 ** KEPT (pick-wt=8): 2 [] -e_quidistant(A,B,C,C)|A=B.
% 2.26/2.45 ** 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).
% 2.26/2.45 ** KEPT (pick-wt=7): 4 [] -between(A,B,A)|A=B.
% 2.26/2.45 ** KEPT (pick-wt=17): 5 [] -between(A,B,C)| -between(D,E,C)|between(B,inner_pasch(A,B,C,E,D),D).
% 2.26/2.45 ** KEPT (pick-wt=17): 6 [] -between(A,B,C)| -between(D,E,C)|between(E,inner_pasch(A,B,C,E,D),A).
% 2.26/2.45 ** KEPT (pick-wt=4): 7 [] -between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3).
% 2.26/2.45 ** KEPT (pick-wt=4): 8 [] -between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1).
% 2.26/2.45 ** KEPT (pick-wt=4): 9 [] -between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2).
% 2.26/2.45 ** 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.
% 2.26/2.45 ** KEPT (pick-wt=20): 11 [] -between(A,B,C)| -between(D,B,E)|A=B|between(A,D,euclid1(A,D,B,E,C)).
% 2.26/2.45 ** KEPT (pick-wt=20): 12 [] -between(A,B,C)| -between(D,B,E)|A=B|between(A,E,euclid2(A,D,B,E,C)).
% 2.26/2.45 ** 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)).
% 2.26/2.46 ** 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).
% 2.26/2.46 ** 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)).
% 2.26/2.46 ** KEPT (pick-wt=10): 16 [] -e_quidistant(A,B,C,D)|e_quidistant(C,D,A,B).
% 2.26/2.46 ** KEPT (pick-wt=10): 17 [] -e_quidistant(A,B,C,D)|e_quidistant(B,A,C,D).
% 2.26/2.46 ** KEPT (pick-wt=10): 18 [] -e_quidistant(A,B,C,D)|e_quidistant(A,B,D,C).
% 2.26/2.46 ** KEPT (pick-wt=10): 19 [] -e_quidistant(A,B,C,D)|e_quidistant(B,A,D,C).
% 2.26/2.46 ** KEPT (pick-wt=10): 20 [] -e_quidistant(A,B,C,D)|e_quidistant(C,D,B,A).
% 2.26/2.46 ** KEPT (pick-wt=10): 21 [] -e_quidistant(A,B,C,D)|e_quidistant(D,C,A,B).
% 2.26/2.46 ** KEPT (pick-wt=10): 22 [] -e_quidistant(A,B,C,D)|e_quidistant(D,C,B,A).
% 2.26/2.46 ** KEPT (pick-wt=15): 23 [] -e_quidistant(A,B,C,D)| -e_quidistant(C,D,E,F)|e_quidistant(A,B,E,F).
% 2.26/2.46 ** KEPT (pick-wt=11): 24 [] A!=extension(B,C,D,E)|between(B,C,A).
% 2.26/2.46 ** KEPT (pick-wt=8): 26 [copy,25,flip.2] A!=B|reflection(A,B)=B.
% 2.26/2.46 ** KEPT (pick-wt=8): 28 [copy,27,flip.1] reflection(A,B)!=B|A=B.
% 2.26/2.46 ** 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).
% 2.26/2.46 ** KEPT (pick-wt=19): 30 [] -between(A,B,C)| -between(A,B,D)| -e_quidistant(B,C,B,D)|A=B|C=D.
% 2.26/2.46 ** KEPT (pick-wt=14): 32 [copy,31,flip.3] -between(A,B,C)|A=B|extension(A,B,B,C)=C.
% 2.26/2.46 ** KEPT (pick-wt=19): 33 [] -e_quidistant(A,B,C,D)|extension(E,F,A,B)=extension(E,F,C,D)|E=F.
% 2.26/2.46 ** KEPT (pick-wt=11): 34 [] -between(A,B,C)|A!=C|between(D,B,C).
% 2.26/2.46 ** KEPT (pick-wt=8): 35 [] -between(A,B,C)|between(C,B,A).
% 2.26/2.46 ** KEPT (pick-wt=11): 36 [] -between(A,B,C)| -between(B,A,C)|A=B.
% 2.26/2.46 ** KEPT (pick-wt=11): 37 [] -between(A,B,C)| -between(A,C,B)|B=C.
% 2.26/2.46 Following clause subsumed by 36 during input processing: 0 [] -between(A,B,C)| -between(B,A,C)|A=B|B=C.
% 2.26/2.46 Following clause subsumed by 37 during input processing: 0 [] -between(A,B,C)| -between(A,C,B)|A=B|B=C.
% 2.26/2.46 ** KEPT (pick-wt=12): 38 [] -between(A,B,C)| -between(A,C,D)|between(B,C,D).
% 2.26/2.46 ** KEPT (pick-wt=15): 39 [] -between(A,B,C)| -between(B,C,D)|between(A,C,D)|B=C.
% 2.26/2.46 ** KEPT (pick-wt=15): 40 [] -between(A,B,C)| -between(B,C,D)|between(A,B,D)|B=C.
% 2.26/2.46 ** KEPT (pick-wt=12): 41 [] -between(A,B,C)| -between(B,D,C)|between(A,D,C).
% 2.26/2.46 ** KEPT (pick-wt=12): 42 [] -between(A,B,C)| -between(A,C,D)|between(A,B,D).
% 2.26/2.46 ** KEPT (pick-wt=3): 44 [copy,43,flip.1] lower_dimension_point_2!=lower_dimension_point_1.
% 2.26/2.46 ** KEPT (pick-wt=3): 46 [copy,45,flip.1] lower_dimension_point_3!=lower_dimension_point_2.
% 2.26/2.46 ** KEPT (pick-wt=3): 48 [copy,47,flip.1] lower_dimension_point_3!=lower_dimension_point_1.
% 2.26/2.46 ** KEPT (pick-wt=7): 50 [copy,49,flip.1] extension(A,B,lower_dimension_point_1,lower_dimension_point_2)!=B.
% 2.26/2.46 ** 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).
% 2.26/2.46 ** 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.
% 2.26/2.46 ** 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).
% 2.26/2.46 ** 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).
% 2.26/2.46 ** 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).
% 2.26/2.46 ** KEPT (pick-wt=17): 56 [] -between(A,B,C)| -e_quidistant(A,B,A,D)| -e_quidistant(C,B,C,D)|B=D.
% 2.26/2.46 ** KEPT (pick-wt=17): 57 [] -between(A,B,C)| -e_quidistant(A,C,D,E)|between(D,insertion(D,E,A,B),E).
% 2.26/2.46 ** 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).
% 2.26/2.46 ** KEPT (pick-wt=11): 60 [copy,59,flip.2] -between(A,B,C)|insertion(A,C,A,B)=B.
% 2.26/2.46 ** KEPT (pick-wt=16): 61 [] -e_quidistant(A,B,C,D)|insertion(E,F,A,B)=insertion(E,F,C,D).
% 2.26/2.46 ** 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).
% 3.25/3.48 ** KEPT (pick-wt=19): 63 [] -between(A,B,C)| -between(A,B,D)|A=B|between(A,C,D)|between(A,D,C).
% 3.25/3.48 ** KEPT (pick-wt=19): 64 [] -between(A,B,C)| -between(A,B,D)|A=B|between(B,C,D)|between(B,D,C).
% 3.25/3.48 ** KEPT (pick-wt=3): 66 [copy,65,flip.1] c!=a.
% 3.25/3.48 ** KEPT (pick-wt=4): 67 [] -between(d,e,a).
% 3.25/3.48 ** KEPT (pick-wt=4): 68 [] -between(e,d,a).
% 3.25/3.48
% 3.25/3.48 ------------> process sos:
% 3.25/3.48 ** KEPT (pick-wt=3): 121 [] A=A.
% 3.25/3.48 ** KEPT (pick-wt=5): 122 [] e_quidistant(A,B,B,A).
% 3.25/3.48 ** KEPT (pick-wt=8): 123 [] between(A,B,extension(A,B,C,D)).
% 3.25/3.48 ** KEPT (pick-wt=9): 124 [] e_quidistant(A,extension(B,A,C,D),C,D).
% 3.25/3.48 ** KEPT (pick-wt=9): 125 [] reflection(A,B)=extension(A,B,A,B).
% 3.25/3.48 ---> New Demodulator: 126 [new_demod,125] reflection(A,B)=extension(A,B,A,B).
% 3.25/3.48 ** KEPT (pick-wt=15): 127 [] insertion(A,B,C,D)=extension(extension(B,A,lower_dimension_point_1,lower_dimension_point_2),A,C,D).
% 3.25/3.48 ---> New Demodulator: 128 [new_demod,127] insertion(A,B,C,D)=extension(extension(B,A,lower_dimension_point_1,lower_dimension_point_2),A,C,D).
% 3.25/3.48 ** KEPT (pick-wt=5): 129 [] e_quidistant(A,B,A,B).
% 3.25/3.48 ** KEPT (pick-wt=7): 131 [copy,130,flip.1] extension(A,B,C,C)=B.
% 3.25/3.48 ---> New Demodulator: 132 [new_demod,131] extension(A,B,C,C)=B.
% 3.25/3.48 Following clause subsumed by 123 during input processing: 0 [demod,126] between(A,B,extension(A,B,A,B)).
% 3.25/3.48 Following clause subsumed by 124 during input processing: 0 [demod,126] e_quidistant(A,extension(B,A,B,A),B,A).
% 3.25/3.48 Following clause subsumed by 121 during input processing: 0 [demod,126,132] A=A.
% 3.25/3.48 ** KEPT (pick-wt=5): 133 [] e_quidistant(A,A,B,B).
% 3.25/3.48 ** KEPT (pick-wt=14): 134 [] extension(A,B,A,B)=extension(A,B,B,A)|A=B.
% 3.25/3.48 ** KEPT (pick-wt=17): 136 [copy,135,demod,126,126] e_quidistant(A,B,A,extension(extension(B,A,B,A),A,extension(B,A,B,A),A)).
% 3.25/3.48 ** KEPT (pick-wt=15): 138 [copy,137,demod,126,126,flip.1] extension(extension(A,B,A,B),B,extension(A,B,A,B),B)=A.
% 3.25/3.48 ---> New Demodulator: 139 [new_demod,138] extension(extension(A,B,A,B),B,extension(A,B,A,B),B)=A.
% 3.25/3.48 ** KEPT (pick-wt=4): 140 [] between(A,B,B).
% 3.25/3.48 ** KEPT (pick-wt=4): 141 [] between(A,A,B).
% 3.25/3.48 ** KEPT (pick-wt=13): 142 [] 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)).
% 3.25/3.48 Following clause subsumed by 123 during input processing: 0 [] between(A,B,extension(A,B,lower_dimension_point_1,lower_dimension_point_2)).
% 3.25/3.48 ** KEPT (pick-wt=13): 144 [copy,143,demod,128] e_quidistant(A,B,C,extension(extension(D,C,lower_dimension_point_1,lower_dimension_point_2),C,A,B)).
% 3.25/3.48 ** KEPT (pick-wt=4): 145 [] between(d,a,c).
% 3.25/3.48 ** KEPT (pick-wt=4): 146 [] between(e,a,c).
% 3.25/3.48 Following clause subsumed by 121 during input processing: 0 [copy,121,flip.1] A=A.
% 3.25/3.48 121 back subsumes 85.
% 3.25/3.48 121 back subsumes 84.
% 3.25/3.48 121 back subsumes 83.
% 3.25/3.48 122 back subsumes 119.
% 3.25/3.48 122 back subsumes 118.
% 3.25/3.48 122 back subsumes 117.
% 3.25/3.48 122 back subsumes 115.
% 3.25/3.48 122 back subsumes 114.
% 3.25/3.48 122 back subsumes 107.
% 3.25/3.48 >>>> Starting back demodulation with 126.
% 3.25/3.48 >> back demodulating 28 with 126.
% 3.25/3.48 >> back demodulating 26 with 126.
% 3.25/3.48 >>>> Starting back demodulation with 128.
% 3.25/3.48 >> back demodulating 61 with 128.
% 3.25/3.48 >> back demodulating 60 with 128.
% 3.25/3.48 >> back demodulating 58 with 128.
% 3.25/3.48 >> back demodulating 57 with 128.
% 3.25/3.48 129 back subsumes 95.
% 3.25/3.48 129 back subsumes 82.
% 3.25/3.48 129 back subsumes 69.
% 3.25/3.48 >>>> Starting back demodulation with 132.
% 3.25/3.48 133 back subsumes 98.
% 3.25/3.48 133 back subsumes 97.
% 3.25/3.48 133 back subsumes 96.
% 3.25/3.48 133 back subsumes 92.
% 3.25/3.48 133 back subsumes 91.
% 3.25/3.48 133 back subsumes 70.
% 3.25/3.48 >>>> Starting back demodulation with 139.
% 3.25/3.48 >> back demodulating 136 with 139.
% 3.25/3.48 140 back subsumes 106.
% 3.25/3.48 140 back subsumes 105.
% 3.25/3.48 140 back subsumes 103.
% 3.25/3.48 140 back subsumes 102.
% 3.25/3.48 140 back subsumes 86.
% 3.25/3.48 140 back subsumes 74.
% 3.25/3.48 140 back subsumes 73.
% 3.25/3.48 141 back subsumes 104.
% 3.25/3.48 141 back subsumes 75.
% 3.25/3.48
% 3.25/3.48 ======= end of input processing =======
% 3.25/3.48
% 3.25/3.48 =========== start of search ===========
% 3.25/3.48
% 3.25/3.48
% 3.25/3.48 Resetting weight limit to 9.
% 3.25/3.48
% 3.25/3.48
% 3.25/3.48 Resetting weight limit to 9.
% 3.25/3.48
% 3.25/3.48 sos_size=2016
% 3.25/3.48
% 3.25/3.48 -------- PROOF --------
% 3.25/3.48
% 3.25/3.48 ----> UNIT CONFLICT at 1.03 sec ----> 2205 [binary,2204.1,67.1] $F.
% 3.25/3.48
% 3.25/3.48 Length of proof is 6. Level of proof is 4.
% 3.25/3.48
% 3.25/3.48 ---------------- PROOF ----------------
% 3.25/3.48 % SZS status Unsatisfiable
% 3.25/3.48 % SZS output start Refutation
% See solution above
% 3.25/3.48 ------------ end of proof -------------
% 3.25/3.48
% 3.25/3.48
% 3.25/3.48 Search stopped by max_proofs option.
% 3.25/3.48
% 3.25/3.48
% 3.25/3.48 Search stopped by max_proofs option.
% 3.25/3.48
% 3.25/3.48 ============ end of search ============
% 3.25/3.48
% 3.25/3.48 -------------- statistics -------------
% 3.25/3.48 clauses given 34
% 3.25/3.48 clauses generated 11805
% 3.25/3.48 clauses kept 2185
% 3.25/3.48 clauses forward subsumed 8784
% 3.25/3.48 clauses back subsumed 53
% 3.25/3.48 Kbytes malloced 4882
% 3.25/3.48
% 3.25/3.48 ----------- times (seconds) -----------
% 3.25/3.48 user CPU time 1.03 (0 hr, 0 min, 1 sec)
% 3.25/3.48 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 3.25/3.48 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 3.25/3.48
% 3.25/3.48 That finishes the proof of the theorem.
% 3.25/3.48
% 3.25/3.48 Process 23849 finished Wed Jul 27 07:07:23 2022
% 3.25/3.48 Otter interrupted
% 3.25/3.48 PROOF FOUND
%------------------------------------------------------------------------------