TSTP Solution File: GEO045-3 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GEO045-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n019.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 12:54:14 EDT 2022
% Result : Unsatisfiable 1.91s 2.09s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 10 unt; 1 nHn; 12 RR)
% Number of literals : 16 ( 3 equ; 6 neg)
% Maximal clause size : 4 ( 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('GEO045-3.p',unknown),
[] ).
cnf(39,axiom,
( ~ between(A,B,C)
| ~ between(B,C,D)
| between(A,C,D)
| B = C ),
file('GEO045-3.p',unknown),
[] ).
cnf(40,axiom,
v != w,
file('GEO045-3.p',unknown),
[] ).
cnf(41,plain,
w != v,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[40])]),
[iquote('copy,40,flip.1')] ).
cnf(42,axiom,
~ between(u,v,x),
file('GEO045-3.p',unknown),
[] ).
cnf(83,axiom,
between(u,v,w),
file('GEO045-3.p',unknown),
[] ).
cnf(84,axiom,
between(v,w,x),
file('GEO045-3.p',unknown),
[] ).
cnf(108,plain,
between(w,v,u),
inference(hyper,[status(thm)],[83,35]),
[iquote('hyper,83,35')] ).
cnf(186,plain,
between(x,w,v),
inference(hyper,[status(thm)],[84,35]),
[iquote('hyper,84,35')] ).
cnf(435,plain,
between(x,v,u),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[186,39,108]),41]),
[iquote('hyper,186,39,108,unit_del,41')] ).
cnf(709,plain,
between(u,v,x),
inference(hyper,[status(thm)],[435,35]),
[iquote('hyper,435,35')] ).
cnf(710,plain,
$false,
inference(binary,[status(thm)],[709,42]),
[iquote('binary,709.1,42.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO045-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n019.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 07:25:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.79/1.99 ----- Otter 3.3f, August 2004 -----
% 1.79/1.99 The process was started by sandbox on n019.cluster.edu,
% 1.79/1.99 Wed Jul 27 07:25:22 2022
% 1.79/1.99 The command was "./otter". The process ID is 7035.
% 1.79/1.99
% 1.79/1.99 set(prolog_style_variables).
% 1.79/1.99 set(auto).
% 1.79/1.99 dependent: set(auto1).
% 1.79/1.99 dependent: set(process_input).
% 1.79/1.99 dependent: clear(print_kept).
% 1.79/1.99 dependent: clear(print_new_demod).
% 1.79/1.99 dependent: clear(print_back_demod).
% 1.79/1.99 dependent: clear(print_back_sub).
% 1.79/1.99 dependent: set(control_memory).
% 1.79/1.99 dependent: assign(max_mem, 12000).
% 1.79/1.99 dependent: assign(pick_given_ratio, 4).
% 1.79/1.99 dependent: assign(stats_level, 1).
% 1.79/1.99 dependent: assign(max_seconds, 10800).
% 1.79/1.99 clear(print_given).
% 1.79/1.99
% 1.79/1.99 list(usable).
% 1.79/1.99 0 [] A=A.
% 1.79/1.99 0 [] e_quidistant(X,Y,Y,X).
% 1.79/1.99 0 [] -e_quidistant(X,Y,Z,V)| -e_quidistant(X,Y,V2,W)|e_quidistant(Z,V,V2,W).
% 1.79/1.99 0 [] -e_quidistant(X,Y,Z,Z)|X=Y.
% 1.79/1.99 0 [] between(X,Y,extension(X,Y,W,V)).
% 1.79/1.99 0 [] e_quidistant(Y,extension(X,Y,W,V),W,V).
% 1.79/1.99 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).
% 1.79/1.99 0 [] -between(X,Y,X)|X=Y.
% 1.79/1.99 0 [] -between(U,V,W)| -between(Y,X,W)|between(V,inner_pasch(U,V,W,X,Y),Y).
% 1.79/1.99 0 [] -between(U,V,W)| -between(Y,X,W)|between(X,inner_pasch(U,V,W,X,Y),U).
% 1.79/1.99 0 [] -between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3).
% 1.79/1.99 0 [] -between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1).
% 1.79/1.99 0 [] -between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2).
% 1.79/1.99 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.
% 1.79/1.99 0 [] -between(U,W,Y)| -between(V,W,X)|U=W|between(U,V,euclid1(U,V,W,X,Y)).
% 1.79/1.99 0 [] -between(U,W,Y)| -between(V,W,X)|U=W|between(U,X,euclid2(U,V,W,X,Y)).
% 1.79/1.99 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)).
% 1.79/1.99 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).
% 1.79/1.99 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)).
% 1.79/1.99 0 [] reflection(U,V)=extension(U,V,U,V).
% 1.79/1.99 0 [] e_quidistant(U,V,U,V).
% 1.79/1.99 0 [] -e_quidistant(U,V,W,X)|e_quidistant(W,X,U,V).
% 1.79/1.99 0 [] -e_quidistant(U,V,W,X)|e_quidistant(V,U,W,X).
% 1.79/1.99 0 [] -e_quidistant(U,V,W,X)|e_quidistant(U,V,X,W).
% 1.79/1.99 0 [] -e_quidistant(U,V,W,X)|e_quidistant(V,U,X,W).
% 1.79/1.99 0 [] -e_quidistant(U,V,W,X)|e_quidistant(W,X,V,U).
% 1.79/1.99 0 [] -e_quidistant(U,V,W,X)|e_quidistant(X,W,U,V).
% 1.79/1.99 0 [] -e_quidistant(U,V,W,X)|e_quidistant(X,W,V,U).
% 1.79/1.99 0 [] -e_quidistant(U,V,W,X)| -e_quidistant(W,X,Y,Z)|e_quidistant(U,V,Y,Z).
% 1.79/1.99 0 [] V=extension(U,V,W,W).
% 1.79/1.99 0 [] Y!=extension(U,V,W,X)|between(U,V,Y).
% 1.79/1.99 0 [] between(U,V,reflection(U,V)).
% 1.79/1.99 0 [] e_quidistant(V,reflection(U,V),U,V).
% 1.79/1.99 0 [] U!=V|V=reflection(U,V).
% 1.79/1.99 0 [] U=reflection(U,U).
% 1.79/1.99 0 [] V!=reflection(U,V)|U=V.
% 1.79/1.99 0 [] e_quidistant(U,U,V,V).
% 1.79/1.99 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).
% 1.79/1.99 0 [] -between(U,V,W)| -between(U,V,X)| -e_quidistant(V,W,V,X)|U=V|W=X.
% 1.79/1.99 0 [] -between(U,V,W)|U=V|W=extension(U,V,V,W).
% 1.79/1.99 0 [] -e_quidistant(W,X,Y,Z)|extension(U,V,W,X)=extension(U,V,Y,Z)|U=V.
% 1.79/1.99 0 [] extension(U,V,U,V)=extension(U,V,V,U)|U=V.
% 1.79/1.99 0 [] e_quidistant(V,U,V,reflection(reflection(U,V),V)).
% 1.79/1.99 0 [] U=reflection(reflection(U,V),V).
% 1.79/1.99 0 [] between(U,V,V).
% 1.79/1.99 0 [] -between(U,W,X)|U!=X|between(V,W,X).
% 1.79/1.99 0 [] -between(U,V,W)|between(W,V,U).
% 1.79/1.99 0 [] between(U,U,V).
% 1.79/1.99 0 [] -between(U,V,W)| -between(V,U,W)|U=V.
% 1.79/1.99 0 [] -between(U,V,W)| -between(U,W,V)|V=W.
% 1.79/1.99 0 [] -between(U,V,W)| -between(V,U,W)|U=V|V=W.
% 1.79/1.99 0 [] -between(U,V,W)| -between(U,W,V)|U=V|V=W.
% 1.79/1.99 0 [] -between(U,V,W)| -between(V,W,X)|between(U,V,W).
% 1.79/1.99 0 [] -between(U,V,W)| -between(U,W,X)|between(V,W,X).
% 1.79/1.99 0 [] -between(U,V,W)| -between(V,W,X)|between(U,W,X)|V=W.
% 1.79/1.99 0 [] between(u,v,w).
% 1.79/1.99 0 [] between(v,w,x).
% 1.79/1.99 0 [] v!=w.
% 1.79/1.99 0 [] -between(u,v,x).
% 1.79/1.99 end_of_list.
% 1.79/1.99
% 1.79/1.99 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 1.79/1.99
% 1.79/1.99 This ia a non-Horn set with equality. The strategy will be
% 1.79/1.99 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.79/1.99 deletion, with positive clauses in sos and nonpositive
% 1.79/1.99 clauses in usable.
% 1.79/1.99
% 1.79/1.99 dependent: set(knuth_bendix).
% 1.79/1.99 dependent: set(anl_eq).
% 1.79/1.99 dependent: set(para_from).
% 1.79/1.99 dependent: set(para_into).
% 1.79/1.99 dependent: clear(para_from_right).
% 1.79/1.99 dependent: clear(para_into_right).
% 1.79/1.99 dependent: set(para_from_vars).
% 1.79/1.99 dependent: set(eq_units_both_ways).
% 1.79/1.99 dependent: set(dynamic_demod_all).
% 1.79/1.99 dependent: set(dynamic_demod).
% 1.79/1.99 dependent: set(order_eq).
% 1.79/1.99 dependent: set(back_demod).
% 1.79/1.99 dependent: set(lrpo).
% 1.79/1.99 dependent: set(hyper_res).
% 1.79/1.99 dependent: set(unit_deletion).
% 1.79/1.99 dependent: set(factor).
% 1.79/1.99
% 1.79/1.99 ------------> process usable:
% 1.79/1.99 ** KEPT (pick-wt=15): 1 [] -e_quidistant(A,B,C,D)| -e_quidistant(A,B,E,F)|e_quidistant(C,D,E,F).
% 1.79/1.99 ** KEPT (pick-wt=8): 2 [] -e_quidistant(A,B,C,C)|A=B.
% 1.79/1.99 ** 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).
% 1.79/1.99 ** KEPT (pick-wt=7): 4 [] -between(A,B,A)|A=B.
% 1.79/1.99 ** KEPT (pick-wt=17): 5 [] -between(A,B,C)| -between(D,E,C)|between(B,inner_pasch(A,B,C,E,D),D).
% 1.79/1.99 ** KEPT (pick-wt=17): 6 [] -between(A,B,C)| -between(D,E,C)|between(E,inner_pasch(A,B,C,E,D),A).
% 1.79/1.99 ** KEPT (pick-wt=4): 7 [] -between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3).
% 1.79/1.99 ** KEPT (pick-wt=4): 8 [] -between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1).
% 1.79/1.99 ** KEPT (pick-wt=4): 9 [] -between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2).
% 1.79/1.99 ** 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.
% 1.79/1.99 ** KEPT (pick-wt=20): 11 [] -between(A,B,C)| -between(D,B,E)|A=B|between(A,D,euclid1(A,D,B,E,C)).
% 1.79/1.99 ** KEPT (pick-wt=20): 12 [] -between(A,B,C)| -between(D,B,E)|A=B|between(A,E,euclid2(A,D,B,E,C)).
% 1.79/1.99 ** 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)).
% 1.79/1.99 ** 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).
% 1.79/1.99 ** 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)).
% 1.79/1.99 ** KEPT (pick-wt=10): 16 [] -e_quidistant(A,B,C,D)|e_quidistant(C,D,A,B).
% 1.79/1.99 ** KEPT (pick-wt=10): 17 [] -e_quidistant(A,B,C,D)|e_quidistant(B,A,C,D).
% 1.79/1.99 ** KEPT (pick-wt=10): 18 [] -e_quidistant(A,B,C,D)|e_quidistant(A,B,D,C).
% 1.79/1.99 ** KEPT (pick-wt=10): 19 [] -e_quidistant(A,B,C,D)|e_quidistant(B,A,D,C).
% 1.79/1.99 ** KEPT (pick-wt=10): 20 [] -e_quidistant(A,B,C,D)|e_quidistant(C,D,B,A).
% 1.79/1.99 ** KEPT (pick-wt=10): 21 [] -e_quidistant(A,B,C,D)|e_quidistant(D,C,A,B).
% 1.79/1.99 ** KEPT (pick-wt=10): 22 [] -e_quidistant(A,B,C,D)|e_quidistant(D,C,B,A).
% 1.79/1.99 ** KEPT (pick-wt=15): 23 [] -e_quidistant(A,B,C,D)| -e_quidistant(C,D,E,F)|e_quidistant(A,B,E,F).
% 1.79/1.99 ** KEPT (pick-wt=11): 24 [] A!=extension(B,C,D,E)|between(B,C,A).
% 1.79/1.99 ** KEPT (pick-wt=8): 26 [copy,25,flip.2] A!=B|reflection(A,B)=B.
% 1.79/1.99 ** KEPT (pick-wt=8): 28 [copy,27,flip.1] reflection(A,B)!=B|A=B.
% 1.79/1.99 ** 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).
% 1.79/1.99 ** KEPT (pick-wt=19): 30 [] -between(A,B,C)| -between(A,B,D)| -e_quidistant(B,C,B,D)|A=B|C=D.
% 1.79/1.99 ** KEPT (pick-wt=14): 32 [copy,31,flip.3] -between(A,B,C)|A=B|extension(A,B,B,C)=C.
% 1.79/1.99 ** KEPT (pick-wt=19): 33 [] -e_quidistant(A,B,C,D)|extension(E,F,A,B)=extension(E,F,C,D)|E=F.
% 1.79/1.99 ** KEPT (pick-wt=11): 34 [] -between(A,B,C)|A!=C|between(D,B,C).
% 1.79/1.99 ** KEPT (pick-wt=8): 35 [] -between(A,B,C)|between(C,B,A).
% 1.79/1.99 ** KEPT (pick-wt=11): 36 [] -between(A,B,C)| -between(B,A,C)|A=B.
% 1.79/1.99 ** KEPT (pick-wt=11): 37 [] -between(A,B,C)| -between(A,C,B)|B=C.
% 1.79/1.99 Following clause subsumed by 36 during input processing: 0 [] -between(A,B,C)| -between(B,A,C)|A=B|B=C.
% 1.79/1.99 Following clause subsumed by 37 during input processing: 0 [] -between(A,B,C)| -between(A,C,B)|A=B|B=C.
% 1.79/1.99 ** KEPT (pick-wt=12): 38 [] -between(A,B,C)| -between(A,C,D)|between(B,C,D).
% 1.79/1.99 ** KEPT (pick-wt=15): 39 [] -between(A,B,C)| -between(B,C,D)|between(A,C,D)|B=C.
% 1.91/2.09 ** KEPT (pick-wt=3): 41 [copy,40,flip.1] w!=v.
% 1.91/2.09 ** KEPT (pick-wt=4): 42 [] -between(u,v,x).
% 1.91/2.09
% 1.91/2.09 ------------> process sos:
% 1.91/2.09 ** KEPT (pick-wt=3): 64 [] A=A.
% 1.91/2.09 ** KEPT (pick-wt=5): 65 [] e_quidistant(A,B,B,A).
% 1.91/2.09 ** KEPT (pick-wt=8): 66 [] between(A,B,extension(A,B,C,D)).
% 1.91/2.09 ** KEPT (pick-wt=9): 67 [] e_quidistant(A,extension(B,A,C,D),C,D).
% 1.91/2.09 ** KEPT (pick-wt=9): 68 [] reflection(A,B)=extension(A,B,A,B).
% 1.91/2.09 ---> New Demodulator: 69 [new_demod,68] reflection(A,B)=extension(A,B,A,B).
% 1.91/2.09 ** KEPT (pick-wt=5): 70 [] e_quidistant(A,B,A,B).
% 1.91/2.09 ** KEPT (pick-wt=7): 72 [copy,71,flip.1] extension(A,B,C,C)=B.
% 1.91/2.09 ---> New Demodulator: 73 [new_demod,72] extension(A,B,C,C)=B.
% 1.91/2.09 Following clause subsumed by 66 during input processing: 0 [demod,69] between(A,B,extension(A,B,A,B)).
% 1.91/2.09 Following clause subsumed by 67 during input processing: 0 [demod,69] e_quidistant(A,extension(B,A,B,A),B,A).
% 1.91/2.09 Following clause subsumed by 64 during input processing: 0 [demod,69,73] A=A.
% 1.91/2.09 ** KEPT (pick-wt=5): 74 [] e_quidistant(A,A,B,B).
% 1.91/2.09 ** KEPT (pick-wt=14): 75 [] extension(A,B,A,B)=extension(A,B,B,A)|A=B.
% 1.91/2.09 ** KEPT (pick-wt=17): 77 [copy,76,demod,69,69] e_quidistant(A,B,A,extension(extension(B,A,B,A),A,extension(B,A,B,A),A)).
% 1.91/2.09 ** KEPT (pick-wt=15): 79 [copy,78,demod,69,69,flip.1] extension(extension(A,B,A,B),B,extension(A,B,A,B),B)=A.
% 1.91/2.09 ---> New Demodulator: 80 [new_demod,79] extension(extension(A,B,A,B),B,extension(A,B,A,B),B)=A.
% 1.91/2.09 ** KEPT (pick-wt=4): 81 [] between(A,B,B).
% 1.91/2.09 ** KEPT (pick-wt=4): 82 [] between(A,A,B).
% 1.91/2.09 ** KEPT (pick-wt=4): 83 [] between(u,v,w).
% 1.91/2.09 ** KEPT (pick-wt=4): 84 [] between(v,w,x).
% 1.91/2.09 Following clause subsumed by 64 during input processing: 0 [copy,64,flip.1] A=A.
% 1.91/2.09 64 back subsumes 59.
% 1.91/2.09 64 back subsumes 58.
% 1.91/2.09 64 back subsumes 57.
% 1.91/2.09 65 back subsumes 61.
% 1.91/2.09 >>>> Starting back demodulation with 69.
% 1.91/2.09 >> back demodulating 28 with 69.
% 1.91/2.09 >> back demodulating 26 with 69.
% 1.91/2.09 70 back subsumes 56.
% 1.91/2.09 70 back subsumes 43.
% 1.91/2.09 >>>> Starting back demodulation with 73.
% 1.91/2.09 74 back subsumes 44.
% 1.91/2.09 >>>> Starting back demodulation with 80.
% 1.91/2.09 >> back demodulating 77 with 80.
% 1.91/2.09 81 back subsumes 60.
% 1.91/2.09 81 back subsumes 48.
% 1.91/2.09 81 back subsumes 47.
% 1.91/2.09 82 back subsumes 49.
% 1.91/2.09
% 1.91/2.09 ======= end of input processing =======
% 1.91/2.09
% 1.91/2.09 =========== start of search ===========
% 1.91/2.09
% 1.91/2.09 -------- PROOF --------
% 1.91/2.09
% 1.91/2.09 ----> UNIT CONFLICT at 0.11 sec ----> 710 [binary,709.1,42.1] $F.
% 1.91/2.09
% 1.91/2.09 Length of proof is 5. Level of proof is 3.
% 1.91/2.09
% 1.91/2.09 ---------------- PROOF ----------------
% 1.91/2.09 % SZS status Unsatisfiable
% 1.91/2.09 % SZS output start Refutation
% See solution above
% 1.91/2.09 ------------ end of proof -------------
% 1.91/2.09
% 1.91/2.09
% 1.91/2.09 Search stopped by max_proofs option.
% 1.91/2.09
% 1.91/2.09
% 1.91/2.09 Search stopped by max_proofs option.
% 1.91/2.09
% 1.91/2.09 ============ end of search ============
% 1.91/2.09
% 1.91/2.09 -------------- statistics -------------
% 1.91/2.09 clauses given 12
% 1.91/2.09 clauses generated 1475
% 1.91/2.09 clauses kept 697
% 1.91/2.09 clauses forward subsumed 810
% 1.91/2.09 clauses back subsumed 18
% 1.91/2.09 Kbytes malloced 1953
% 1.91/2.09
% 1.91/2.09 ----------- times (seconds) -----------
% 1.91/2.09 user CPU time 0.11 (0 hr, 0 min, 0 sec)
% 1.91/2.09 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.91/2.09 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.91/2.09
% 1.91/2.09 That finishes the proof of the theorem.
% 1.91/2.09
% 1.91/2.09 Process 7035 finished Wed Jul 27 07:25:23 2022
% 1.91/2.09 Otter interrupted
% 1.91/2.09 PROOF FOUND
%------------------------------------------------------------------------------