TSTP Solution File: SEU351+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SEU351+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n017.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 13:15:48 EDT 2022

% Result   : Unknown 252.48s 252.66s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU351+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : otter-tptp-script %s
% 0.13/0.34  % Computer : n017.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 07:13:03 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.56/2.13  ----- Otter 3.3f, August 2004 -----
% 1.56/2.13  The process was started by sandbox on n017.cluster.edu,
% 1.56/2.13  Wed Jul 27 07:13:03 2022
% 1.56/2.13  The command was "./otter".  The process ID is 32697.
% 1.56/2.13  
% 1.56/2.13  set(prolog_style_variables).
% 1.56/2.13  set(auto).
% 1.56/2.13     dependent: set(auto1).
% 1.56/2.13     dependent: set(process_input).
% 1.56/2.13     dependent: clear(print_kept).
% 1.56/2.13     dependent: clear(print_new_demod).
% 1.56/2.13     dependent: clear(print_back_demod).
% 1.56/2.13     dependent: clear(print_back_sub).
% 1.56/2.13     dependent: set(control_memory).
% 1.56/2.13     dependent: assign(max_mem, 12000).
% 1.56/2.13     dependent: assign(pick_given_ratio, 4).
% 1.56/2.13     dependent: assign(stats_level, 1).
% 1.56/2.13     dependent: assign(max_seconds, 10800).
% 1.56/2.13  clear(print_given).
% 1.56/2.13  
% 1.56/2.13  formula_list(usable).
% 1.56/2.13  all A (A=A).
% 1.56/2.13  all A B (in(A,B)-> -in(B,A)).
% 1.56/2.13  all A (latt_str(A)-> (-empty_carrier(A)&lattice(A)-> -empty_carrier(A)&join_commutative(A)&join_associative(A)&meet_commutative(A)&meet_associative(A)&meet_absorbing(A)&join_absorbing(A))).
% 1.56/2.13  all A (latt_str(A)-> (-empty_carrier(A)&join_commutative(A)&join_associative(A)&meet_commutative(A)&meet_associative(A)&meet_absorbing(A)&join_absorbing(A)-> -empty_carrier(A)&lattice(A))).
% 1.56/2.13  all A (-empty_carrier(A)&latt_str(A)-> (all B (element(B,the_carrier(A))-> (all C (latt_set_smaller(A,B,C)<-> (all D (element(D,the_carrier(A))-> (in(D,C)->below(A,B,D))))))))).
% 1.56/2.13  all A (-empty_carrier(A)&latt_str(A)-> (all B (element(B,the_carrier(A))-> (all C (latt_element_smaller(A,B,C)<-> (all D (element(D,the_carrier(A))-> (in(D,C)->below(A,D,B))))))))).
% 1.56/2.13  all A (-empty_carrier(A)&latt_str(A)-> (-empty_carrier(A)&lattice(A)&complete_latt_str(A)&latt_str(A)-> (all B C (element(C,the_carrier(A))-> (C=join_of_latt_set(A,B)<->latt_element_smaller(A,C,B)& (all D (element(D,the_carrier(A))-> (latt_element_smaller(A,D,B)->below(A,C,D))))))))).
% 1.56/2.13  all A (-empty_carrier(A)&latt_str(A)-> (all B (meet_of_latt_set(A,B)=join_of_latt_set(A,a_2_2_lattice3(A,B))))).
% 1.56/2.13  all A B (-empty_carrier(A)&latt_str(A)->element(join_of_latt_set(A,B),the_carrier(A))).
% 1.56/2.13  all A B (-empty_carrier(A)&latt_str(A)->element(meet_of_latt_set(A,B),the_carrier(A))).
% 1.56/2.13  $T.
% 1.56/2.13  all A (meet_semilatt_str(A)->one_sorted_str(A)).
% 1.56/2.13  $T.
% 1.56/2.13  all A (join_semilatt_str(A)->one_sorted_str(A)).
% 1.56/2.13  all A (latt_str(A)->meet_semilatt_str(A)&join_semilatt_str(A)).
% 1.56/2.13  $T.
% 1.56/2.13  $T.
% 1.56/2.13  exists A meet_semilatt_str(A).
% 1.56/2.13  exists A one_sorted_str(A).
% 1.56/2.13  exists A join_semilatt_str(A).
% 1.56/2.13  exists A latt_str(A).
% 1.56/2.13  all A exists B element(B,A).
% 1.56/2.13  all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(the_carrier(A))).
% 1.56/2.13  empty(empty_set).
% 1.56/2.13  all A B C (-empty_carrier(B)&latt_str(B)-> (in(A,a_2_2_lattice3(B,C))<-> (exists D (element(D,the_carrier(B))&A=D&latt_set_smaller(B,D,C))))).
% 1.56/2.13  all A B C (-empty_carrier(B)&lattice(B)&complete_latt_str(B)&latt_str(B)-> (in(A,a_2_3_lattice3(B,C))<-> (exists D (element(D,the_carrier(B))&A=D&latt_set_smaller(B,D,C))))).
% 1.56/2.13  exists A empty(A).
% 1.56/2.13  exists A (-empty(A)).
% 1.56/2.13  exists A (one_sorted_str(A)& -empty_carrier(A)).
% 1.56/2.13  all A B C (-empty_carrier(A)&meet_commutative(A)&meet_absorbing(A)&join_absorbing(A)&latt_str(A)&element(B,the_carrier(A))&element(C,the_carrier(A))-> (below_refl(A,B,C)<->below(A,B,C))).
% 1.56/2.13  all A B C (-empty_carrier(A)&meet_commutative(A)&meet_absorbing(A)&join_absorbing(A)&latt_str(A)&element(B,the_carrier(A))&element(C,the_carrier(A))->below_refl(A,B,B)).
% 1.56/2.13  all A B (in(A,B)->element(A,B)).
% 1.56/2.13  all A B (element(A,B)->empty(B)|in(A,B)).
% 1.56/2.13  all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 1.56/2.13  -(all A (-empty_carrier(A)&lattice(A)&complete_latt_str(A)&latt_str(A)-> (all B (element(B,the_carrier(A))-> (all C (B=meet_of_latt_set(A,C)<->latt_set_smaller(A,B,C)& (all D (element(D,the_carrier(A))-> (latt_set_smaller(A,D,C)->below_refl(A,D,B)))))))))).
% 1.56/2.13  all A (empty(A)->A=empty_set).
% 1.56/2.13  all A B (-(in(A,B)&empty(B))).
% 1.56/2.13  all A B (-(empty(A)&A!=B&empty(B))).
% 1.56/2.13  end_of_list.
% 1.56/2.13  
% 1.56/2.13  -------> usable clausifies to:
% 1.56/2.13  
% 1.56/2.13  list(usable).
% 1.56/2.13  0 [] A=A.
% 1.56/2.13  0 [] -in(A,B)| -in(B,A).
% 1.56/2.13  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_commutative(A).
% 1.56/2.13  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_associative(A).
% 1.56/2.13  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_commutative(A).
% 1.56/2.13  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_associative(A).
% 1.56/2.13  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_absorbing(A).
% 1.56/2.13  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_absorbing(A).
% 1.56/2.13  0 [] -latt_str(A)|empty_carrier(A)| -join_commutative(A)| -join_associative(A)| -meet_commutative(A)| -meet_associative(A)| -meet_absorbing(A)| -join_absorbing(A)|lattice(A).
% 1.56/2.13  0 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))| -latt_set_smaller(A,B,C)| -element(D,the_carrier(A))| -in(D,C)|below(A,B,D).
% 1.56/2.13  0 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_set_smaller(A,B,C)|element($f1(A,B,C),the_carrier(A)).
% 1.56/2.13  0 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_set_smaller(A,B,C)|in($f1(A,B,C),C).
% 1.56/2.13  0 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_set_smaller(A,B,C)| -below(A,B,$f1(A,B,C)).
% 1.56/2.13  0 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))| -latt_element_smaller(A,B,C)| -element(D,the_carrier(A))| -in(D,C)|below(A,D,B).
% 1.56/2.13  0 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_element_smaller(A,B,C)|element($f2(A,B,C),the_carrier(A)).
% 1.56/2.13  0 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_element_smaller(A,B,C)|in($f2(A,B,C),C).
% 1.56/2.13  0 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_element_smaller(A,B,C)| -below(A,$f2(A,B,C),B).
% 1.56/2.13  0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(C,the_carrier(A))|C!=join_of_latt_set(A,B)|latt_element_smaller(A,C,B).
% 1.56/2.13  0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(C,the_carrier(A))|C!=join_of_latt_set(A,B)| -element(D,the_carrier(A))| -latt_element_smaller(A,D,B)|below(A,C,D).
% 1.56/2.13  0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(C,the_carrier(A))|C=join_of_latt_set(A,B)| -latt_element_smaller(A,C,B)|element($f3(A,B,C),the_carrier(A)).
% 1.56/2.13  0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(C,the_carrier(A))|C=join_of_latt_set(A,B)| -latt_element_smaller(A,C,B)|latt_element_smaller(A,$f3(A,B,C),B).
% 1.56/2.13  0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(C,the_carrier(A))|C=join_of_latt_set(A,B)| -latt_element_smaller(A,C,B)| -below(A,C,$f3(A,B,C)).
% 1.56/2.13  0 [] empty_carrier(A)| -latt_str(A)|meet_of_latt_set(A,B)=join_of_latt_set(A,a_2_2_lattice3(A,B)).
% 1.56/2.13  0 [] empty_carrier(A)| -latt_str(A)|element(join_of_latt_set(A,B),the_carrier(A)).
% 1.56/2.13  0 [] empty_carrier(A)| -latt_str(A)|element(meet_of_latt_set(A,B),the_carrier(A)).
% 1.56/2.13  0 [] $T.
% 1.56/2.13  0 [] -meet_semilatt_str(A)|one_sorted_str(A).
% 1.56/2.13  0 [] $T.
% 1.56/2.13  0 [] -join_semilatt_str(A)|one_sorted_str(A).
% 1.56/2.13  0 [] -latt_str(A)|meet_semilatt_str(A).
% 1.56/2.13  0 [] -latt_str(A)|join_semilatt_str(A).
% 1.56/2.13  0 [] $T.
% 1.56/2.13  0 [] $T.
% 1.56/2.13  0 [] meet_semilatt_str($c1).
% 1.56/2.13  0 [] one_sorted_str($c2).
% 1.56/2.13  0 [] join_semilatt_str($c3).
% 1.56/2.13  0 [] latt_str($c4).
% 1.56/2.13  0 [] element($f4(A),A).
% 1.56/2.13  0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 1.56/2.13  0 [] empty(empty_set).
% 1.56/2.13  0 [] empty_carrier(B)| -latt_str(B)| -in(A,a_2_2_lattice3(B,C))|element($f5(A,B,C),the_carrier(B)).
% 1.56/2.13  0 [] empty_carrier(B)| -latt_str(B)| -in(A,a_2_2_lattice3(B,C))|A=$f5(A,B,C).
% 1.56/2.13  0 [] empty_carrier(B)| -latt_str(B)| -in(A,a_2_2_lattice3(B,C))|latt_set_smaller(B,$f5(A,B,C),C).
% 1.56/2.13  0 [] empty_carrier(B)| -latt_str(B)|in(A,a_2_2_lattice3(B,C))| -element(D,the_carrier(B))|A!=D| -latt_set_smaller(B,D,C).
% 1.56/2.13  0 [] empty_carrier(B)| -lattice(B)| -complete_latt_str(B)| -latt_str(B)| -in(A,a_2_3_lattice3(B,C))|element($f6(A,B,C),the_carrier(B)).
% 1.56/2.13  0 [] empty_carrier(B)| -lattice(B)| -complete_latt_str(B)| -latt_str(B)| -in(A,a_2_3_lattice3(B,C))|A=$f6(A,B,C).
% 1.56/2.13  0 [] empty_carrier(B)| -lattice(B)| -complete_latt_str(B)| -latt_str(B)| -in(A,a_2_3_lattice3(B,C))|latt_set_smaller(B,$f6(A,B,C),C).
% 1.56/2.13  0 [] empty_carrier(B)| -lattice(B)| -complete_latt_str(B)| -latt_str(B)|in(A,a_2_3_lattice3(B,C))| -element(D,the_carrier(B))|A!=D| -latt_set_smaller(B,D,C).
% 1.56/2.13  0 [] empty($c5).
% 1.56/2.13  0 [] -empty($c6).
% 1.56/2.13  0 [] one_sorted_str($c7).
% 1.56/2.13  0 [] -empty_carrier($c7).
% 1.56/2.13  0 [] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -below_refl(A,B,C)|below(A,B,C).
% 1.56/2.13  0 [] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|below_refl(A,B,C)| -below(A,B,C).
% 1.56/2.13  0 [] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|below_refl(A,B,B).
% 1.56/2.13  0 [] -in(A,B)|element(A,B).
% 1.56/2.13  0 [] -element(A,B)|empty(B)|in(A,B).
% 1.56/2.13  0 [] in($f7(A,B),A)|in($f7(A,B),B)|A=B.
% 1.56/2.13  0 [] -in($f7(A,B),A)| -in($f7(A,B),B)|A=B.
% 1.56/2.13  0 [] -empty_carrier($c11).
% 1.56/2.13  0 [] lattice($c11).
% 1.56/2.13  0 [] complete_latt_str($c11).
% 1.56/2.13  0 [] latt_str($c11).
% 1.56/2.13  0 [] element($c10,the_carrier($c11)).
% 1.56/2.13  0 [] $c10=meet_of_latt_set($c11,$c9)|latt_set_smaller($c11,$c10,$c9).
% 1.56/2.13  0 [] $c10=meet_of_latt_set($c11,$c9)| -element(D,the_carrier($c11))| -latt_set_smaller($c11,D,$c9)|below_refl($c11,D,$c10).
% 1.56/2.13  0 [] $c10!=meet_of_latt_set($c11,$c9)| -latt_set_smaller($c11,$c10,$c9)|element($c8,the_carrier($c11)).
% 1.56/2.13  0 [] $c10!=meet_of_latt_set($c11,$c9)| -latt_set_smaller($c11,$c10,$c9)|latt_set_smaller($c11,$c8,$c9).
% 1.56/2.13  0 [] $c10!=meet_of_latt_set($c11,$c9)| -latt_set_smaller($c11,$c10,$c9)| -below_refl($c11,$c8,$c10).
% 1.56/2.13  0 [] -empty(A)|A=empty_set.
% 1.56/2.13  0 [] -in(A,B)| -empty(B).
% 1.56/2.13  0 [] -empty(A)|A=B| -empty(B).
% 1.56/2.13  end_of_list.
% 1.56/2.13  
% 1.56/2.13  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 1.56/2.13  
% 1.56/2.13  This ia a non-Horn set with equality.  The strategy will be
% 1.56/2.13  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.56/2.13  deletion, with positive clauses in sos and nonpositive
% 1.56/2.13  clauses in usable.
% 1.56/2.13  
% 1.56/2.13     dependent: set(knuth_bendix).
% 1.56/2.13     dependent: set(anl_eq).
% 1.56/2.13     dependent: set(para_from).
% 1.56/2.13     dependent: set(para_into).
% 1.56/2.13     dependent: clear(para_from_right).
% 1.56/2.13     dependent: clear(para_into_right).
% 1.56/2.13     dependent: set(para_from_vars).
% 1.56/2.13     dependent: set(eq_units_both_ways).
% 1.56/2.13     dependent: set(dynamic_demod_all).
% 1.56/2.13     dependent: set(dynamic_demod).
% 1.56/2.13     dependent: set(order_eq).
% 1.56/2.13     dependent: set(back_demod).
% 1.56/2.13     dependent: set(lrpo).
% 1.56/2.13     dependent: set(hyper_res).
% 1.56/2.13     dependent: set(unit_deletion).
% 1.56/2.13     dependent: set(factor).
% 1.56/2.13  
% 1.56/2.13  ------------> process usable:
% 1.56/2.13  ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.56/2.13  ** KEPT (pick-wt=8): 2 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_commutative(A).
% 1.56/2.13  ** KEPT (pick-wt=8): 3 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_associative(A).
% 1.56/2.13  ** KEPT (pick-wt=8): 4 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_commutative(A).
% 1.56/2.13  ** KEPT (pick-wt=8): 5 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_associative(A).
% 1.56/2.13  ** KEPT (pick-wt=8): 6 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_absorbing(A).
% 1.56/2.13  ** KEPT (pick-wt=8): 7 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_absorbing(A).
% 1.56/2.13  ** KEPT (pick-wt=18): 8 [] -latt_str(A)|empty_carrier(A)| -join_commutative(A)| -join_associative(A)| -meet_commutative(A)| -meet_associative(A)| -meet_absorbing(A)| -join_absorbing(A)|lattice(A).
% 1.56/2.13  ** KEPT (pick-wt=23): 9 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))| -latt_set_smaller(A,B,C)| -element(D,the_carrier(A))| -in(D,C)|below(A,B,D).
% 1.56/2.13  ** KEPT (pick-wt=19): 10 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_set_smaller(A,B,C)|element($f1(A,B,C),the_carrier(A)).
% 1.56/2.13  ** KEPT (pick-wt=18): 11 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_set_smaller(A,B,C)|in($f1(A,B,C),C).
% 1.56/2.13  ** KEPT (pick-wt=19): 12 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_set_smaller(A,B,C)| -below(A,B,$f1(A,B,C)).
% 1.56/2.13  ** KEPT (pick-wt=23): 13 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))| -latt_element_smaller(A,B,C)| -element(D,the_carrier(A))| -in(D,C)|below(A,D,B).
% 1.56/2.13  ** KEPT (pick-wt=19): 14 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_element_smaller(A,B,C)|element($f2(A,B,C),the_carrier(A)).
% 1.56/2.13  ** KEPT (pick-wt=18): 15 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_element_smaller(A,B,C)|in($f2(A,B,C),C).
% 1.56/2.13  ** KEPT (pick-wt=19): 16 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_element_smaller(A,B,C)| -below(A,$f2(A,B,C),B).
% 1.56/2.13  ** KEPT (pick-wt=21): 17 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B!=join_of_latt_set(A,C)|latt_element_smaller(A,B,C).
% 1.56/2.13  ** KEPT (pick-wt=29): 18 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B!=join_of_latt_set(A,C)| -element(D,the_carrier(A))| -latt_element_smaller(A,D,C)|below(A,B,D).
% 1.56/2.13  ** KEPT (pick-wt=28): 19 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B=join_of_latt_set(A,C)| -latt_element_smaller(A,B,C)|element($f3(A,C,B),the_carrier(A)).
% 1.56/2.13  ** KEPT (pick-wt=28): 20 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B=join_of_latt_set(A,C)| -latt_element_smaller(A,B,C)|latt_element_smaller(A,$f3(A,C,B),C).
% 1.56/2.13  ** KEPT (pick-wt=28): 21 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B=join_of_latt_set(A,C)| -latt_element_smaller(A,B,C)| -below(A,B,$f3(A,C,B)).
% 1.56/2.13  ** KEPT (pick-wt=13): 22 [] empty_carrier(A)| -latt_str(A)|meet_of_latt_set(A,B)=join_of_latt_set(A,a_2_2_lattice3(A,B)).
% 1.56/2.13  ** KEPT (pick-wt=10): 23 [] empty_carrier(A)| -latt_str(A)|element(join_of_latt_set(A,B),the_carrier(A)).
% 1.56/2.13  ** KEPT (pick-wt=10): 24 [] empty_carrier(A)| -latt_str(A)|element(meet_of_latt_set(A,B),the_carrier(A)).
% 1.56/2.13  ** KEPT (pick-wt=4): 25 [] -meet_semilatt_str(A)|one_sorted_str(A).
% 1.56/2.13  ** KEPT (pick-wt=4): 26 [] -join_semilatt_str(A)|one_sorted_str(A).
% 1.56/2.13  ** KEPT (pick-wt=4): 27 [] -latt_str(A)|meet_semilatt_str(A).
% 1.56/2.13  ** KEPT (pick-wt=4): 28 [] -latt_str(A)|join_semilatt_str(A).
% 1.56/2.13  ** KEPT (pick-wt=7): 29 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 1.56/2.13  ** KEPT (pick-wt=16): 30 [] empty_carrier(A)| -latt_str(A)| -in(B,a_2_2_lattice3(A,C))|element($f5(B,A,C),the_carrier(A)).
% 1.56/2.13  ** KEPT (pick-wt=15): 32 [copy,31,flip.4] empty_carrier(A)| -latt_str(A)| -in(B,a_2_2_lattice3(A,C))|$f5(B,A,C)=B.
% 1.56/2.13  ** KEPT (pick-wt=16): 33 [] empty_carrier(A)| -latt_str(A)| -in(B,a_2_2_lattice3(A,C))|latt_set_smaller(A,$f5(B,A,C),C).
% 1.56/2.13  ** KEPT (pick-wt=20): 34 [] empty_carrier(A)| -latt_str(A)|in(B,a_2_2_lattice3(A,C))| -element(D,the_carrier(A))|B!=D| -latt_set_smaller(A,D,C).
% 1.56/2.13  ** KEPT (pick-wt=20): 35 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -in(B,a_2_3_lattice3(A,C))|element($f6(B,A,C),the_carrier(A)).
% 1.56/2.13  ** KEPT (pick-wt=19): 37 [copy,36,flip.6] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -in(B,a_2_3_lattice3(A,C))|$f6(B,A,C)=B.
% 1.56/2.13  ** KEPT (pick-wt=20): 38 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -in(B,a_2_3_lattice3(A,C))|latt_set_smaller(A,$f6(B,A,C),C).
% 1.56/2.13  ** KEPT (pick-wt=24): 39 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)|in(B,a_2_3_lattice3(A,C))| -element(D,the_carrier(A))|B!=D| -latt_set_smaller(A,D,C).
% 1.56/2.13  ** KEPT (pick-wt=2): 40 [] -empty($c6).
% 1.56/2.13  ** KEPT (pick-wt=2): 41 [] -empty_carrier($c7).
% 1.56/2.13  ** KEPT (pick-wt=26): 42 [] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -below_refl(A,B,C)|below(A,B,C).
% 1.56/2.13  ** KEPT (pick-wt=26): 43 [] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|below_refl(A,B,C)| -below(A,B,C).
% 1.56/2.13  ** KEPT (pick-wt=18): 45 [copy,44,factor_simp] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))|below_refl(A,B,B).
% 1.56/2.13  ** KEPT (pick-wt=6): 46 [] -in(A,B)|element(A,B).
% 1.56/2.13  ** KEPT (pick-wt=8): 47 [] -element(A,B)|empty(B)|in(A,B).
% 1.56/2.13  ** KEPT (pick-wt=13): 48 [] -in($f7(A,B),A)| -in($f7(A,B),B)|A=B.
% 1.56/2.13  ** KEPT (pick-wt=2): 49 [] -empty_carrier($c11).
% 1.56/2.13  ** KEPT (pick-wt=17): 51 [copy,50,flip.1] meet_of_latt_set($c11,$c9)=$c10| -element(A,the_carrier($c11))| -latt_set_smaller($c11,A,$c9)|below_refl($c11,A,$c10).
% 1.56/2.13  ** KEPT (pick-wt=13): 53 [copy,52,flip.1] meet_of_latt_set($c11,$c9)!=$c10| -latt_set_smaller($c11,$c10,$c9)|element($c8,the_carrier($c11)).
% 1.56/2.13  ** KEPT (pick-wt=13): 55 [copy,54,flip.1] meet_of_latt_set($c11,$c9)!=$c10| -latt_set_smaller($c11,$c10,$c9)|latt_set_smaller($c11,$c8,$c9).
% 1.56/2.13  ** KEPT (pick-wt=13): 57 [copy,56,flip.1] meet_of_latt_set($c11,$c9)!=$c10| -latt_set_smaller($c11,$c10,$c9)| -below_refl($c11,$c8,$c10).
% 252.48/252.66  ** KEPT (pick-wt=5): 58 [] -empty(A)|A=empty_set.
% 252.48/252.66  ** KEPT (pick-wt=5): 59 [] -in(A,B)| -empty(B).
% 252.48/252.66  ** KEPT (pick-wt=7): 60 [] -empty(A)|A=B| -empty(B).
% 252.48/252.66  
% 252.48/252.66  ------------> process sos:
% 252.48/252.66  ** KEPT (pick-wt=3): 68 [] A=A.
% 252.48/252.66  ** KEPT (pick-wt=2): 69 [] meet_semilatt_str($c1).
% 252.48/252.66  ** KEPT (pick-wt=2): 70 [] one_sorted_str($c2).
% 252.48/252.66  ** KEPT (pick-wt=2): 71 [] join_semilatt_str($c3).
% 252.48/252.66  ** KEPT (pick-wt=2): 72 [] latt_str($c4).
% 252.48/252.66  ** KEPT (pick-wt=4): 73 [] element($f4(A),A).
% 252.48/252.66  ** KEPT (pick-wt=2): 74 [] empty(empty_set).
% 252.48/252.66  ** KEPT (pick-wt=2): 75 [] empty($c5).
% 252.48/252.66  ** KEPT (pick-wt=2): 76 [] one_sorted_str($c7).
% 252.48/252.66  ** KEPT (pick-wt=13): 77 [] in($f7(A,B),A)|in($f7(A,B),B)|A=B.
% 252.48/252.66  ** KEPT (pick-wt=2): 78 [] lattice($c11).
% 252.48/252.66  ** KEPT (pick-wt=2): 79 [] complete_latt_str($c11).
% 252.48/252.66  ** KEPT (pick-wt=2): 80 [] latt_str($c11).
% 252.48/252.66  ** KEPT (pick-wt=4): 81 [] element($c10,the_carrier($c11)).
% 252.48/252.66  ** KEPT (pick-wt=9): 83 [copy,82,flip.1] meet_of_latt_set($c11,$c9)=$c10|latt_set_smaller($c11,$c10,$c9).
% 252.48/252.66    Following clause subsumed by 68 during input processing: 0 [copy,68,flip.1] A=A.
% 252.48/252.66  68 back subsumes 67.
% 252.48/252.66  68 back subsumes 66.
% 252.48/252.66  
% 252.48/252.66  ======= end of input processing =======
% 252.48/252.66  
% 252.48/252.66  =========== start of search ===========
% 252.48/252.66  
% 252.48/252.66  
% 252.48/252.66  Resetting weight limit to 8.
% 252.48/252.66  
% 252.48/252.66  
% 252.48/252.66  Resetting weight limit to 8.
% 252.48/252.66  
% 252.48/252.66  sos_size=1258
% 252.48/252.66  
% 252.48/252.66  Search stopped because sos empty.
% 252.48/252.66  
% 252.48/252.66  
% 252.48/252.66  Search stopped because sos empty.
% 252.48/252.66  
% 252.48/252.66  ============ end of search ============
% 252.48/252.66  
% 252.48/252.66  -------------- statistics -------------
% 252.48/252.66  clauses given               1763
% 252.48/252.66  clauses generated        3984013
% 252.48/252.66  clauses kept                1881
% 252.48/252.66  clauses forward subsumed    4381
% 252.48/252.66  clauses back subsumed         16
% 252.48/252.66  Kbytes malloced             6835
% 252.48/252.66  
% 252.48/252.66  ----------- times (seconds) -----------
% 252.48/252.66  user CPU time        250.53          (0 hr, 4 min, 10 sec)
% 252.48/252.66  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 252.48/252.66  wall-clock time      252             (0 hr, 4 min, 12 sec)
% 252.48/252.66  
% 252.48/252.66  Process 32697 finished Wed Jul 27 07:17:15 2022
% 252.48/252.66  Otter interrupted
% 252.48/252.66  PROOF NOT FOUND
%------------------------------------------------------------------------------