TSTP Solution File: GEO059-3 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO059-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n027.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 12:54:17 EDT 2022
% Result : Unsatisfiable 270.94s 271.15s
% Output : Refutation 270.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of clauses : 30 ( 13 unt; 1 nHn; 21 RR)
% Number of literals : 49 ( 27 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 70 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ e_quidistant(A,B,C,C)
| A = B ),
file('GEO059-3.p',unknown),
[] ).
cnf(16,axiom,
( ~ e_quidistant(A,B,C,D)
| e_quidistant(C,D,A,B) ),
file('GEO059-3.p',unknown),
[] ).
cnf(19,axiom,
( ~ e_quidistant(A,B,C,D)
| e_quidistant(B,A,D,C) ),
file('GEO059-3.p',unknown),
[] ).
cnf(21,axiom,
( ~ e_quidistant(A,B,C,D)
| e_quidistant(D,C,A,B) ),
file('GEO059-3.p',unknown),
[] ).
cnf(25,axiom,
( A != B
| B = reflection(A,B) ),
file('GEO059-3.p',unknown),
[] ).
cnf(26,plain,
( A != B
| reflection(A,B) = B ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[25])]),
[iquote('copy,25,flip.2')] ).
cnf(27,axiom,
( A != reflection(B,A)
| B = A ),
file('GEO059-3.p',unknown),
[] ).
cnf(28,plain,
( reflection(A,B) != B
| A = B ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[27])]),
[iquote('copy,27,flip.1')] ).
cnf(33,axiom,
( ~ e_quidistant(A,B,C,D)
| extension(E,F,A,B) = extension(E,F,C,D)
| E = F ),
file('GEO059-3.p',unknown),
[] ).
cnf(34,axiom,
~ e_quidistant(v,u,v,reflection(reflection(u,v),v)),
file('GEO059-3.p',unknown),
[] ).
cnf(53,axiom,
A = A,
file('GEO059-3.p',unknown),
[] ).
cnf(56,axiom,
e_quidistant(A,extension(B,A,C,D),C,D),
file('GEO059-3.p',unknown),
[] ).
cnf(58,axiom,
reflection(A,B) = extension(A,B,A,B),
file('GEO059-3.p',unknown),
[] ).
cnf(60,axiom,
A = extension(B,A,C,C),
file('GEO059-3.p',unknown),
[] ).
cnf(62,plain,
extension(A,B,C,C) = B,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[60])]),
[iquote('copy,60,flip.1')] ).
cnf(65,plain,
~ e_quidistant(v,u,v,extension(extension(u,v,u,v),v,extension(u,v,u,v),v)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[34]),58,58]),
[iquote('back_demod,34,demod,58,58')] ).
cnf(66,plain,
( extension(A,B,A,B) != B
| A = B ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[28]),58]),
[iquote('back_demod,28,demod,58')] ).
cnf(67,plain,
( A != B
| extension(A,B,A,B) = B ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[26]),58]),
[iquote('back_demod,26,demod,58')] ).
cnf(86,plain,
( A = B
| ~ e_quidistant(B,A,C,C) ),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[62,2]),62]),
[iquote('para_into,61.1.1,2.2.1,demod,62')] ).
cnf(357,plain,
e_quidistant(A,B,C,extension(D,C,B,A)),
inference(hyper,[status(thm)],[56,21]),
[iquote('hyper,56,21')] ).
cnf(359,plain,
e_quidistant(extension(A,B,C,D),B,D,C),
inference(hyper,[status(thm)],[56,19]),
[iquote('hyper,56,19')] ).
cnf(360,plain,
e_quidistant(A,B,C,extension(D,C,A,B)),
inference(hyper,[status(thm)],[56,16]),
[iquote('hyper,56,16')] ).
cnf(1320,plain,
( ~ e_quidistant(v,u,v,extension(extension(u,v,u,v),v,extension(u,v,A,v),v))
| ~ e_quidistant(A,u,B,B) ),
inference(para_into,[status(thm),theory(equality)],[65,86]),
[iquote('para_into,65.1.4.3.3,86.1.1')] ).
cnf(1396,plain,
( ~ e_quidistant(v,u,v,extension(extension(u,v,u,v),v,A,B))
| ~ e_quidistant(extension(u,v,u,v),v,A,B)
| extension(u,v,u,v) = v ),
inference(para_into,[status(thm),theory(equality)],[65,33]),
[iquote('para_into,65.1.4,33.2.1')] ).
cnf(2146,plain,
( A = B
| extension(B,A,B,A) != A ),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[66,62]),62,62]),
[iquote('para_from,66.2.1,61.1.1,demod,62,62')] ).
cnf(2522,plain,
( A = B
| B != A ),
inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[2146,67]),53]),
[iquote('para_into,2146.2.1,67.2.1,unit_del,53')] ).
cnf(2634,plain,
~ e_quidistant(v,u,v,v),
inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[1320,62]),62])]),
[iquote('para_into,1320.1.4.3,61.1.1,demod,62,factor_simp')] ).
cnf(2645,plain,
( ~ e_quidistant(v,u,v,A)
| A != v ),
inference(para_into,[status(thm),theory(equality)],[2634,2522]),
[iquote('para_into,2634.1.4,2522.1.1')] ).
cnf(2655,plain,
extension(u,v,u,v) = v,
inference(hyper,[status(thm)],[1396,360,359]),
[iquote('hyper,1396,360,359')] ).
cnf(2657,plain,
$false,
inference(hyper,[status(thm)],[2655,2645,357]),
[iquote('hyper,2655,2645,357')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO059-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n027.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 07:35:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.64/1.87 ----- Otter 3.3f, August 2004 -----
% 1.64/1.87 The process was started by sandbox on n027.cluster.edu,
% 1.64/1.87 Wed Jul 27 07:35:36 2022
% 1.64/1.87 The command was "./otter". The process ID is 6705.
% 1.64/1.87
% 1.64/1.87 set(prolog_style_variables).
% 1.64/1.87 set(auto).
% 1.64/1.87 dependent: set(auto1).
% 1.64/1.87 dependent: set(process_input).
% 1.64/1.87 dependent: clear(print_kept).
% 1.64/1.87 dependent: clear(print_new_demod).
% 1.64/1.87 dependent: clear(print_back_demod).
% 1.64/1.87 dependent: clear(print_back_sub).
% 1.64/1.87 dependent: set(control_memory).
% 1.64/1.87 dependent: assign(max_mem, 12000).
% 1.64/1.87 dependent: assign(pick_given_ratio, 4).
% 1.64/1.87 dependent: assign(stats_level, 1).
% 1.64/1.87 dependent: assign(max_seconds, 10800).
% 1.64/1.87 clear(print_given).
% 1.64/1.87
% 1.64/1.87 list(usable).
% 1.64/1.87 0 [] A=A.
% 1.64/1.87 0 [] e_quidistant(X,Y,Y,X).
% 1.64/1.87 0 [] -e_quidistant(X,Y,Z,V)| -e_quidistant(X,Y,V2,W)|e_quidistant(Z,V,V2,W).
% 1.64/1.87 0 [] -e_quidistant(X,Y,Z,Z)|X=Y.
% 1.64/1.87 0 [] between(X,Y,extension(X,Y,W,V)).
% 1.64/1.87 0 [] e_quidistant(Y,extension(X,Y,W,V),W,V).
% 1.64/1.87 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).
% 1.64/1.87 0 [] -between(X,Y,X)|X=Y.
% 1.64/1.87 0 [] -between(U,V,W)| -between(Y,X,W)|between(V,inner_pasch(U,V,W,X,Y),Y).
% 1.64/1.87 0 [] -between(U,V,W)| -between(Y,X,W)|between(X,inner_pasch(U,V,W,X,Y),U).
% 1.64/1.87 0 [] -between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3).
% 1.64/1.87 0 [] -between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1).
% 1.64/1.87 0 [] -between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2).
% 1.64/1.87 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.
% 1.64/1.87 0 [] -between(U,W,Y)| -between(V,W,X)|U=W|between(U,V,euclid1(U,V,W,X,Y)).
% 1.64/1.87 0 [] -between(U,W,Y)| -between(V,W,X)|U=W|between(U,X,euclid2(U,V,W,X,Y)).
% 1.64/1.87 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)).
% 1.64/1.87 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).
% 1.64/1.87 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)).
% 1.64/1.87 0 [] reflection(U,V)=extension(U,V,U,V).
% 1.64/1.87 0 [] e_quidistant(U,V,U,V).
% 1.64/1.87 0 [] -e_quidistant(U,V,W,X)|e_quidistant(W,X,U,V).
% 1.64/1.87 0 [] -e_quidistant(U,V,W,X)|e_quidistant(V,U,W,X).
% 1.64/1.87 0 [] -e_quidistant(U,V,W,X)|e_quidistant(U,V,X,W).
% 1.64/1.87 0 [] -e_quidistant(U,V,W,X)|e_quidistant(V,U,X,W).
% 1.64/1.87 0 [] -e_quidistant(U,V,W,X)|e_quidistant(W,X,V,U).
% 1.64/1.87 0 [] -e_quidistant(U,V,W,X)|e_quidistant(X,W,U,V).
% 1.64/1.87 0 [] -e_quidistant(U,V,W,X)|e_quidistant(X,W,V,U).
% 1.64/1.87 0 [] -e_quidistant(U,V,W,X)| -e_quidistant(W,X,Y,Z)|e_quidistant(U,V,Y,Z).
% 1.64/1.87 0 [] V=extension(U,V,W,W).
% 1.64/1.87 0 [] Y!=extension(U,V,W,X)|between(U,V,Y).
% 1.64/1.87 0 [] between(U,V,reflection(U,V)).
% 1.64/1.87 0 [] e_quidistant(V,reflection(U,V),U,V).
% 1.64/1.87 0 [] U!=V|V=reflection(U,V).
% 1.64/1.87 0 [] U=reflection(U,U).
% 1.64/1.87 0 [] V!=reflection(U,V)|U=V.
% 1.64/1.87 0 [] e_quidistant(U,U,V,V).
% 1.64/1.87 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).
% 1.64/1.87 0 [] -between(U,V,W)| -between(U,V,X)| -e_quidistant(V,W,V,X)|U=V|W=X.
% 1.64/1.87 0 [] -between(U,V,W)|U=V|W=extension(U,V,V,W).
% 1.64/1.87 0 [] -e_quidistant(W,X,Y,Z)|extension(U,V,W,X)=extension(U,V,Y,Z)|U=V.
% 1.64/1.87 0 [] extension(U,V,U,V)=extension(U,V,V,U)|U=V.
% 1.64/1.87 0 [] -e_quidistant(v,u,v,reflection(reflection(u,v),v)).
% 1.64/1.87 end_of_list.
% 1.64/1.87
% 1.64/1.87 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 1.64/1.87
% 1.64/1.87 This ia a non-Horn set with equality. The strategy will be
% 1.64/1.87 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.64/1.87 deletion, with positive clauses in sos and nonpositive
% 1.64/1.87 clauses in usable.
% 1.64/1.87
% 1.64/1.87 dependent: set(knuth_bendix).
% 1.64/1.87 dependent: set(anl_eq).
% 1.64/1.87 dependent: set(para_from).
% 1.64/1.87 dependent: set(para_into).
% 1.64/1.87 dependent: clear(para_from_right).
% 1.64/1.87 dependent: clear(para_into_right).
% 1.64/1.87 dependent: set(para_from_vars).
% 1.64/1.87 dependent: set(eq_units_both_ways).
% 1.64/1.87 dependent: set(dynamic_demod_all).
% 1.64/1.87 dependent: set(dynamic_demod).
% 1.64/1.87 dependent: set(order_eq).
% 1.64/1.87 dependent: set(back_demod).
% 1.64/1.87 dependent: set(lrpo).
% 1.64/1.87 dependent: set(hyper_res).
% 1.64/1.87 dependent: set(unit_deletion).
% 1.64/1.87 dependent: set(factor).
% 1.64/1.87
% 1.64/1.87 ------------> process usable:
% 1.64/1.87 ** KEPT (pick-wt=15): 1 [] -e_quidistant(A,B,C,D)| -e_quidistant(A,B,E,F)|e_quidistant(C,D,E,F).
% 1.64/1.87 ** KEPT (pick-wt=8): 2 [] -e_quidistant(A,B,C,C)|A=B.
% 1.64/1.87 ** 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).
% 1.64/1.87 ** KEPT (pick-wt=7): 4 [] -between(A,B,A)|A=B.
% 1.64/1.87 ** KEPT (pick-wt=17): 5 [] -between(A,B,C)| -between(D,E,C)|between(B,inner_pasch(A,B,C,E,D),D).
% 1.64/1.87 ** KEPT (pick-wt=17): 6 [] -between(A,B,C)| -between(D,E,C)|between(E,inner_pasch(A,B,C,E,D),A).
% 1.64/1.87 ** KEPT (pick-wt=4): 7 [] -between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3).
% 1.64/1.87 ** KEPT (pick-wt=4): 8 [] -between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1).
% 1.64/1.87 ** KEPT (pick-wt=4): 9 [] -between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2).
% 1.64/1.87 ** 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.
% 1.64/1.87 ** KEPT (pick-wt=20): 11 [] -between(A,B,C)| -between(D,B,E)|A=B|between(A,D,euclid1(A,D,B,E,C)).
% 1.64/1.87 ** KEPT (pick-wt=20): 12 [] -between(A,B,C)| -between(D,B,E)|A=B|between(A,E,euclid2(A,D,B,E,C)).
% 1.64/1.87 ** 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)).
% 1.64/1.87 ** 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).
% 1.64/1.87 ** 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)).
% 1.64/1.87 ** KEPT (pick-wt=10): 16 [] -e_quidistant(A,B,C,D)|e_quidistant(C,D,A,B).
% 1.64/1.87 ** KEPT (pick-wt=10): 17 [] -e_quidistant(A,B,C,D)|e_quidistant(B,A,C,D).
% 1.64/1.87 ** KEPT (pick-wt=10): 18 [] -e_quidistant(A,B,C,D)|e_quidistant(A,B,D,C).
% 1.64/1.87 ** KEPT (pick-wt=10): 19 [] -e_quidistant(A,B,C,D)|e_quidistant(B,A,D,C).
% 1.64/1.87 ** KEPT (pick-wt=10): 20 [] -e_quidistant(A,B,C,D)|e_quidistant(C,D,B,A).
% 1.64/1.87 ** KEPT (pick-wt=10): 21 [] -e_quidistant(A,B,C,D)|e_quidistant(D,C,A,B).
% 1.64/1.87 ** KEPT (pick-wt=10): 22 [] -e_quidistant(A,B,C,D)|e_quidistant(D,C,B,A).
% 1.64/1.87 ** KEPT (pick-wt=15): 23 [] -e_quidistant(A,B,C,D)| -e_quidistant(C,D,E,F)|e_quidistant(A,B,E,F).
% 1.64/1.87 ** KEPT (pick-wt=11): 24 [] A!=extension(B,C,D,E)|between(B,C,A).
% 1.64/1.87 ** KEPT (pick-wt=8): 26 [copy,25,flip.2] A!=B|reflection(A,B)=B.
% 1.64/1.87 ** KEPT (pick-wt=8): 28 [copy,27,flip.1] reflection(A,B)!=B|A=B.
% 1.64/1.87 ** 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).
% 1.64/1.87 ** KEPT (pick-wt=19): 30 [] -between(A,B,C)| -between(A,B,D)| -e_quidistant(B,C,B,D)|A=B|C=D.
% 1.64/1.87 ** KEPT (pick-wt=14): 32 [copy,31,flip.3] -between(A,B,C)|A=B|extension(A,B,B,C)=C.
% 1.64/1.87 ** KEPT (pick-wt=19): 33 [] -e_quidistant(A,B,C,D)|extension(E,F,A,B)=extension(E,F,C,D)|E=F.
% 1.64/1.87 ** KEPT (pick-wt=9): 34 [] -e_quidistant(v,u,v,reflection(reflection(u,v),v)).
% 1.64/1.87
% 1.64/1.87 ------------> process sos:
% 1.64/1.87 ** KEPT (pick-wt=3): 53 [] A=A.
% 1.64/1.87 ** KEPT (pick-wt=5): 54 [] e_quidistant(A,B,B,A).
% 1.64/1.87 ** KEPT (pick-wt=8): 55 [] between(A,B,extension(A,B,C,D)).
% 1.64/1.87 ** KEPT (pick-wt=9): 56 [] e_quidistant(A,extension(B,A,C,D),C,D).
% 1.64/1.87 ** KEPT (pick-wt=9): 57 [] reflection(A,B)=extension(A,B,A,B).
% 1.64/1.87 ---> New Demodulator: 58 [new_demod,57] reflection(A,B)=extension(A,B,A,B).
% 1.64/1.87 ** KEPT (pick-wt=5): 59 [] e_quidistant(A,B,A,B).
% 1.64/1.87 ** KEPT (pick-wt=7): 61 [copy,60,flip.1] extension(A,B,C,C)=B.
% 1.64/1.87 ---> New Demodulator: 62 [new_demod,61] extension(A,B,C,C)=B.
% 1.64/1.87 Following clause subsumed by 55 during input processing: 0 [demod,58] between(A,B,extension(A,B,A,B)).
% 1.64/1.87 Following clause subsumed by 56 during input processing: 0 [demod,58] e_quidistant(A,extension(B,A,B,A),B,A).
% 1.64/1.87 Following clause subsumed by 53 during input processing: 0 [demod,58,62] A=A.
% 1.64/1.87 ** KEPT (pick-wt=5): 63 [] e_quidistant(A,A,B,B).
% 1.64/1.87 ** KEPT (pick-wt=14): 64 [] extension(A,B,A,B)=extension(A,B,B,A)|A=B.
% 1.64/1.87 Following clause subsumed by 53 during input processing: 0 [copy,53,flip.1] A=A.
% 1.64/1.87 53 back subsumes 49.
% 1.64/1.87 54 back subsumes 50.
% 1.64/1.87 >>>> Starting back demodulation with 58.
% 270.94/271.15 >> back demodulating 34 with 58.
% 270.94/271.15 >> back demodulating 28 with 58.
% 270.94/271.15 >> back demodulating 26 with 58.
% 270.94/271.15 59 back subsumes 48.
% 270.94/271.15 59 back subsumes 35.
% 270.94/271.15 >>>> Starting back demodulation with 62.
% 270.94/271.15 63 back subsumes 36.
% 270.94/271.15
% 270.94/271.15 ======= end of input processing =======
% 270.94/271.15
% 270.94/271.15 =========== start of search ===========
% 270.94/271.15
% 270.94/271.15
% 270.94/271.15 Resetting weight limit to 12.
% 270.94/271.15
% 270.94/271.15
% 270.94/271.15 Resetting weight limit to 12.
% 270.94/271.15
% 270.94/271.15 sos_size=2136
% 270.94/271.15
% 270.94/271.15
% 270.94/271.15 Resetting weight limit to 11.
% 270.94/271.15
% 270.94/271.15
% 270.94/271.15 Resetting weight limit to 11.
% 270.94/271.15
% 270.94/271.15 sos_size=1631
% 270.94/271.15
% 270.94/271.15
% 270.94/271.15 Resetting weight limit to 9.
% 270.94/271.15
% 270.94/271.15
% 270.94/271.15 Resetting weight limit to 9.
% 270.94/271.15
% 270.94/271.15 sos_size=1630
% 270.94/271.15
% 270.94/271.15 -- HEY sandbox, WE HAVE A PROOF!! --
% 270.94/271.15
% 270.94/271.15 -----> EMPTY CLAUSE at 269.29 sec ----> 2657 [hyper,2655,2645,357] $F.
% 270.94/271.15
% 270.94/271.15 Length of proof is 17. Level of proof is 5.
% 270.94/271.15
% 270.94/271.15 ---------------- PROOF ----------------
% 270.94/271.15 % SZS status Unsatisfiable
% 270.94/271.15 % SZS output start Refutation
% See solution above
% 270.94/271.15 ------------ end of proof -------------
% 270.94/271.15
% 270.94/271.15
% 270.94/271.15 Search stopped by max_proofs option.
% 270.94/271.15
% 270.94/271.15
% 270.94/271.15 Search stopped by max_proofs option.
% 270.94/271.15
% 270.94/271.15 ============ end of search ============
% 270.94/271.15
% 270.94/271.15 -------------- statistics -------------
% 270.94/271.15 clauses given 1293
% 270.94/271.15 clauses generated 4028200
% 270.94/271.15 clauses kept 2642
% 270.94/271.15 clauses forward subsumed 71007
% 270.94/271.15 clauses back subsumed 965
% 270.94/271.15 Kbytes malloced 5859
% 270.94/271.15
% 270.94/271.15 ----------- times (seconds) -----------
% 270.94/271.15 user CPU time 269.29 (0 hr, 4 min, 29 sec)
% 270.94/271.15 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 270.94/271.15 wall-clock time 271 (0 hr, 4 min, 31 sec)
% 270.94/271.15
% 270.94/271.15 That finishes the proof of the theorem.
% 270.94/271.15
% 270.94/271.15 Process 6705 finished Wed Jul 27 07:40:07 2022
% 270.94/271.15 Otter interrupted
% 270.94/271.15 PROOF FOUND
%------------------------------------------------------------------------------