TSTP Solution File: SWW103+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWW103+1 : TPTP v8.1.0. Released v5.2.0.
% 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 13:22:01 EDT 2022

% Result   : Unknown 13.33s 13.52s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW103+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % 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 03:00:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.98/2.17  ----- Otter 3.3f, August 2004 -----
% 1.98/2.17  The process was started by sandbox2 on n019.cluster.edu,
% 1.98/2.17  Wed Jul 27 03:00:37 2022
% 1.98/2.17  The command was "./otter".  The process ID is 8368.
% 1.98/2.17  
% 1.98/2.17  set(prolog_style_variables).
% 1.98/2.17  set(auto).
% 1.98/2.17     dependent: set(auto1).
% 1.98/2.17     dependent: set(process_input).
% 1.98/2.17     dependent: clear(print_kept).
% 1.98/2.17     dependent: clear(print_new_demod).
% 1.98/2.17     dependent: clear(print_back_demod).
% 1.98/2.17     dependent: clear(print_back_sub).
% 1.98/2.17     dependent: set(control_memory).
% 1.98/2.17     dependent: assign(max_mem, 12000).
% 1.98/2.17     dependent: assign(pick_given_ratio, 4).
% 1.98/2.17     dependent: assign(stats_level, 1).
% 1.98/2.17     dependent: assign(max_seconds, 10800).
% 1.98/2.17  clear(print_given).
% 1.98/2.17  
% 1.98/2.17  formula_list(usable).
% 1.98/2.17  all A (A=A).
% 1.98/2.17  all X (bool(X)<->X=false|X=true).
% 1.98/2.17  true!=false.
% 1.98/2.17  true!=err.
% 1.98/2.17  false!=err.
% 1.98/2.17  d(true).
% 1.98/2.17  d(false).
% 1.98/2.17  d(err).
% 1.98/2.17  all X Y (forallprefers(X,Y)<-> -d(X)&d(Y)|d(X)&d(Y)& -bool(X)&bool(Y)|X=false&Y=true).
% 1.98/2.17  all X Y (existsprefers(X,Y)<-> -d(X)&d(Y)|d(X)&d(Y)& -bool(X)&bool(Y)|X=true&Y=false).
% 1.98/2.17  all X (d(X)&phi(X)=X| -d(X)&phi(X)=err).
% 1.98/2.17  all X (prop(X)=true<->bool(X)).
% 1.98/2.17  all X (prop(X)=false<-> -bool(X)).
% 1.98/2.17  all A B (-bool(A)->impl(A,B)=phi(A)).
% 1.98/2.17  all A B (bool(A)& -bool(B)->impl(A,B)=phi(B)).
% 1.98/2.17  all B (bool(B)->impl(false,B)=true).
% 1.98/2.17  all B (bool(B)->impl(true,B)=B).
% 1.98/2.17  all A B (-bool(A)->lazy_impl(A,B)=phi(A)).
% 1.98/2.17  all B (lazy_impl(false,B)=true).
% 1.98/2.17  all B (lazy_impl(true,B)=phi(B)).
% 1.98/2.17  all A B (-bool(A)->and1(A,B)=phi(A)).
% 1.98/2.17  all A B (bool(A)& -bool(B)->and1(A,B)=phi(B)).
% 1.98/2.17  all B (bool(B)->and1(false,B)=false).
% 1.98/2.17  all B (bool(B)->and1(true,B)=B).
% 1.98/2.17  all P Q R (f1(P,Q,R)=lazy_impl(prop(R),impl(impl(P,impl(Q,R)),R))).
% 1.98/2.17  all P Q exists R (and2(P,Q)=phi(f1(P,Q,R))& -(exists R1 forallprefers(f1(P,Q,R1),f1(P,Q,R)))).
% 1.98/2.17  all A B (-bool(A)->lazy_and1(A,B)=phi(A)).
% 1.98/2.17  all B (lazy_and1(false,B)=false).
% 1.98/2.17  all B (lazy_and1(true,B)=phi(B)).
% 1.98/2.17  all P Q R (f2(P,Q,R)=lazy_impl(prop(R),impl(lazy_impl(P,impl(Q,R)),R))).
% 1.98/2.17  all P Q exists R (lazy_and2(P,Q)=phi(f2(P,Q,R))& -(exists R1 forallprefers(f2(P,Q,R1),f2(P,Q,R)))).
% 1.98/2.17  all A B (-bool(A)->or1(A,B)=phi(A)).
% 1.98/2.17  all A B (bool(A)& -bool(B)->or1(A,B)=phi(B)).
% 1.98/2.17  all B (bool(B)->or1(true,B)=true).
% 1.98/2.17  all B (bool(B)->or1(false,B)=B).
% 1.98/2.17  all P Q R (f3(P,Q,R)=lazy_impl(prop(R),impl(impl(P,R),impl(impl(Q,R),R)))).
% 1.98/2.17  all P Q exists R (or2(P,Q)=phi(f3(P,Q,R))& -(exists R1 forallprefers(f3(P,Q,R1),f3(P,Q,R)))).
% 1.98/2.17  all P exists X (exists1(P)=phi(apply(P,X))& -(exists X1 existsprefers(apply(P,X1),apply(P,X)))).
% 1.98/2.17  all P X R (f4(P,X,R)=impl(apply(P,X),R)).
% 1.98/2.17  all P R exists X (f5(P,R)=phi(f4(P,X,R))& -(exists X1 forallprefers(f4(P,X1,R),f4(P,X,R)))).
% 1.98/2.17  all P R (f6(P,R)=lazy_impl(prop(R),impl(f5(P,R),R))).
% 1.98/2.17  all P exists R (exists2(P)=phi(f6(P,R))& -(exists R1 forallprefers(f6(P,R1),f6(P,R)))).
% 1.98/2.17  false1=false.
% 1.98/2.17  all P (f7(P)=lazy_impl(prop(P),P)).
% 1.98/2.17  exists P (false2=phi(f7(P))& -(exists P1 forallprefers(f7(P1),f7(P)))).
% 1.98/2.17  all A (-bool(A)->not1(A)=phi(A)).
% 1.98/2.17  not1(false)=true.
% 1.98/2.17  not1(true)=false.
% 1.98/2.17  all P (not2(P)=impl(P,false2)).
% 1.98/2.17  end_of_list.
% 1.98/2.17  
% 1.98/2.17  -------> usable clausifies to:
% 1.98/2.17  
% 1.98/2.17  list(usable).
% 1.98/2.17  0 [] A=A.
% 1.98/2.17  0 [] -bool(X)|X=false|X=true.
% 1.98/2.17  0 [] bool(X)|X!=false.
% 1.98/2.17  0 [] bool(X)|X!=true.
% 1.98/2.17  0 [] true!=false.
% 1.98/2.17  0 [] true!=err.
% 1.98/2.17  0 [] false!=err.
% 1.98/2.17  0 [] d(true).
% 1.98/2.17  0 [] d(false).
% 1.98/2.17  0 [] d(err).
% 1.98/2.17  0 [] -forallprefers(X,Y)| -d(X)| -bool(X)|X=false.
% 1.98/2.17  0 [] -forallprefers(X,Y)| -d(X)| -bool(X)|Y=true.
% 1.98/2.17  0 [] -forallprefers(X,Y)| -d(X)|bool(Y)|X=false.
% 1.98/2.17  0 [] -forallprefers(X,Y)| -d(X)|bool(Y)|Y=true.
% 1.98/2.17  0 [] -forallprefers(X,Y)|d(Y)|X=false.
% 1.98/2.17  0 [] -forallprefers(X,Y)|d(Y)|Y=true.
% 1.98/2.17  0 [] forallprefers(X,Y)|d(X)| -d(Y).
% 1.98/2.17  0 [] forallprefers(X,Y)| -d(X)| -d(Y)|bool(X)| -bool(Y).
% 1.98/2.17  0 [] forallprefers(X,Y)|X!=false|Y!=true.
% 1.98/2.17  0 [] -existsprefers(X,Y)| -d(X)| -bool(X)|X=true.
% 1.98/2.17  0 [] -existsprefers(X,Y)| -d(X)| -bool(X)|Y=false.
% 1.98/2.17  0 [] -existsprefers(X,Y)| -d(X)|bool(Y)|X=true.
% 1.98/2.17  0 [] -existsprefers(X,Y)| -d(X)|bool(Y)|Y=false.
% 1.98/2.17  0 [] -existsprefers(X,Y)|d(Y)|X=true.
% 1.98/2.17  0 [] -existsprefers(X,Y)|d(Y)|Y=false.
% 1.98/2.17  0 [] existsprefers(X,Y)|d(X)| -d(Y).
% 1.98/2.17  0 [] existsprefers(X,Y)| -d(X)| -d(Y)|bool(X)| -bool(Y).
% 1.98/2.17  0 [] existsprefers(X,Y)|X!=true|Y!=false.
% 1.98/2.17  0 [] d(X)|phi(X)=err.
% 1.98/2.17  0 [] phi(X)=X| -d(X).
% 1.98/2.17  0 [] phi(X)=X|phi(X)=err.
% 1.98/2.17  0 [] prop(X)!=true|bool(X).
% 1.98/2.17  0 [] prop(X)=true| -bool(X).
% 1.98/2.17  0 [] prop(X)!=false| -bool(X).
% 1.98/2.17  0 [] prop(X)=false|bool(X).
% 1.98/2.17  0 [] bool(A)|impl(A,B)=phi(A).
% 1.98/2.17  0 [] -bool(A)|bool(B)|impl(A,B)=phi(B).
% 1.98/2.17  0 [] -bool(B)|impl(false,B)=true.
% 1.98/2.17  0 [] -bool(B)|impl(true,B)=B.
% 1.98/2.17  0 [] bool(A)|lazy_impl(A,B)=phi(A).
% 1.98/2.17  0 [] lazy_impl(false,B)=true.
% 1.98/2.17  0 [] lazy_impl(true,B)=phi(B).
% 1.98/2.17  0 [] bool(A)|and1(A,B)=phi(A).
% 1.98/2.17  0 [] -bool(A)|bool(B)|and1(A,B)=phi(B).
% 1.98/2.17  0 [] -bool(B)|and1(false,B)=false.
% 1.98/2.17  0 [] -bool(B)|and1(true,B)=B.
% 1.98/2.17  0 [] f1(P,Q,R)=lazy_impl(prop(R),impl(impl(P,impl(Q,R)),R)).
% 1.98/2.17  0 [] and2(P,Q)=phi(f1(P,Q,$f1(P,Q))).
% 1.98/2.17  0 [] -forallprefers(f1(P,Q,R1),f1(P,Q,$f1(P,Q))).
% 1.98/2.17  0 [] bool(A)|lazy_and1(A,B)=phi(A).
% 1.98/2.17  0 [] lazy_and1(false,B)=false.
% 1.98/2.17  0 [] lazy_and1(true,B)=phi(B).
% 1.98/2.17  0 [] f2(P,Q,R)=lazy_impl(prop(R),impl(lazy_impl(P,impl(Q,R)),R)).
% 1.98/2.17  0 [] lazy_and2(P,Q)=phi(f2(P,Q,$f2(P,Q))).
% 1.98/2.17  0 [] -forallprefers(f2(P,Q,R1),f2(P,Q,$f2(P,Q))).
% 1.98/2.17  0 [] bool(A)|or1(A,B)=phi(A).
% 1.98/2.17  0 [] -bool(A)|bool(B)|or1(A,B)=phi(B).
% 1.98/2.17  0 [] -bool(B)|or1(true,B)=true.
% 1.98/2.17  0 [] -bool(B)|or1(false,B)=B.
% 1.98/2.17  0 [] f3(P,Q,R)=lazy_impl(prop(R),impl(impl(P,R),impl(impl(Q,R),R))).
% 1.98/2.17  0 [] or2(P,Q)=phi(f3(P,Q,$f3(P,Q))).
% 1.98/2.17  0 [] -forallprefers(f3(P,Q,R1),f3(P,Q,$f3(P,Q))).
% 1.98/2.17  0 [] exists1(P)=phi(apply(P,$f4(P))).
% 1.98/2.17  0 [] -existsprefers(apply(P,X1),apply(P,$f4(P))).
% 1.98/2.17  0 [] f4(P,X,R)=impl(apply(P,X),R).
% 1.98/2.17  0 [] f5(P,R)=phi(f4(P,$f5(P,R),R)).
% 1.98/2.17  0 [] -forallprefers(f4(P,X1,R),f4(P,$f5(P,R),R)).
% 1.98/2.17  0 [] f6(P,R)=lazy_impl(prop(R),impl(f5(P,R),R)).
% 1.98/2.17  0 [] exists2(P)=phi(f6(P,$f6(P))).
% 1.98/2.17  0 [] -forallprefers(f6(P,R1),f6(P,$f6(P))).
% 1.98/2.17  0 [] false1=false.
% 1.98/2.17  0 [] f7(P)=lazy_impl(prop(P),P).
% 1.98/2.17  0 [] false2=phi(f7($c1)).
% 1.98/2.17  0 [] -forallprefers(f7(P1),f7($c1)).
% 1.98/2.17  0 [] bool(A)|not1(A)=phi(A).
% 1.98/2.17  0 [] not1(false)=true.
% 1.98/2.17  0 [] not1(true)=false.
% 1.98/2.17  0 [] not2(P)=impl(P,false2).
% 1.98/2.17  end_of_list.
% 1.98/2.17  
% 1.98/2.17  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 1.98/2.17  
% 1.98/2.17  This ia a non-Horn set with equality.  The strategy will be
% 1.98/2.17  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.98/2.17  deletion, with positive clauses in sos and nonpositive
% 1.98/2.17  clauses in usable.
% 1.98/2.17  
% 1.98/2.17     dependent: set(knuth_bendix).
% 1.98/2.17     dependent: set(anl_eq).
% 1.98/2.17     dependent: set(para_from).
% 1.98/2.17     dependent: set(para_into).
% 1.98/2.17     dependent: clear(para_from_right).
% 1.98/2.17     dependent: clear(para_into_right).
% 1.98/2.17     dependent: set(para_from_vars).
% 1.98/2.17     dependent: set(eq_units_both_ways).
% 1.98/2.17     dependent: set(dynamic_demod_all).
% 1.98/2.17     dependent: set(dynamic_demod).
% 1.98/2.17     dependent: set(order_eq).
% 1.98/2.17     dependent: set(back_demod).
% 1.98/2.17     dependent: set(lrpo).
% 1.98/2.17     dependent: set(hyper_res).
% 1.98/2.17     dependent: set(unit_deletion).
% 1.98/2.17     dependent: set(factor).
% 1.98/2.17  
% 1.98/2.17  ------------> process usable:
% 1.98/2.17  ** KEPT (pick-wt=8): 1 [] -bool(A)|A=false|A=true.
% 1.98/2.17  ** KEPT (pick-wt=5): 2 [] bool(A)|A!=false.
% 1.98/2.17  ** KEPT (pick-wt=5): 3 [] bool(A)|A!=true.
% 1.98/2.17  ** KEPT (pick-wt=3): 4 [] true!=false.
% 1.98/2.17  ** KEPT (pick-wt=3): 5 [] true!=err.
% 1.98/2.17  ** KEPT (pick-wt=3): 6 [] false!=err.
% 1.98/2.17  ** KEPT (pick-wt=10): 7 [] -forallprefers(A,B)| -d(A)| -bool(A)|A=false.
% 1.98/2.17  ** KEPT (pick-wt=10): 8 [] -forallprefers(A,B)| -d(A)| -bool(A)|B=true.
% 1.98/2.17  ** KEPT (pick-wt=10): 9 [] -forallprefers(A,B)| -d(A)|bool(B)|A=false.
% 1.98/2.17  ** KEPT (pick-wt=10): 10 [] -forallprefers(A,B)| -d(A)|bool(B)|B=true.
% 1.98/2.17  ** KEPT (pick-wt=8): 11 [] -forallprefers(A,B)|d(B)|A=false.
% 1.98/2.17  ** KEPT (pick-wt=8): 12 [] -forallprefers(A,B)|d(B)|B=true.
% 1.98/2.17  ** KEPT (pick-wt=7): 13 [] forallprefers(A,B)|d(A)| -d(B).
% 1.98/2.17  ** KEPT (pick-wt=11): 14 [] forallprefers(A,B)| -d(A)| -d(B)|bool(A)| -bool(B).
% 1.98/2.17  ** KEPT (pick-wt=9): 15 [] forallprefers(A,B)|A!=false|B!=true.
% 1.98/2.17  ** KEPT (pick-wt=10): 16 [] -existsprefers(A,B)| -d(A)| -bool(A)|A=true.
% 1.98/2.17  ** KEPT (pick-wt=10): 17 [] -existsprefers(A,B)| -d(A)| -bool(A)|B=false.
% 1.98/2.17  ** KEPT (pick-wt=10): 18 [] -existsprefers(A,B)| -d(A)|bool(B)|A=true.
% 1.98/2.17  ** KEPT (pick-wt=10): 19 [] -existsprefers(A,B)| -d(A)|bool(B)|B=false.
% 1.98/2.17  ** KEPT (pick-wt=8): 20 [] -existsprefers(A,B)|d(B)|A=true.
% 1.98/2.17  ** KEPT (pick-wt=8): 21 [] -existsprefers(A,B)|d(B)|B=false.
% 1.98/2.17  ** KEPT (pick-wt=7): 22 [] existsprefers(A,B)|d(A)| -d(B).
% 1.98/2.17  ** KEPT (pick-wt=11): 23 [] existsprefers(A,B)| -d(A)| -d(B)|bool(A)| -bool(B).
% 1.98/2.17  ** KEPT (pick-wt=9): 24 [] existsprefers(A,B)|A!=true|B!=false.
% 1.98/2.17  ** KEPT (pick-wt=6): 25 [] phi(A)=A| -d(A).
% 1.98/2.17  ** KEPT (pick-wt=6): 26 [] prop(A)!=true|bool(A).
% 1.98/2.17  ** KEPT (pick-wt=6): 27 [] prop(A)=true| -bool(A).
% 1.98/2.17  ** KEPT (pick-wt=6): 28 [] prop(A)!=false| -bool(A).
% 1.98/2.17  ** KEPT (pick-wt=10): 29 [] -bool(A)|bool(B)|impl(A,B)=phi(B).
% 1.98/2.17  ** KEPT (pick-wt=7): 30 [] -bool(A)|impl(false,A)=true.
% 1.98/2.17  ** KEPT (pick-wt=7): 31 [] -bool(A)|impl(true,A)=A.
% 1.98/2.17  ** KEPT (pick-wt=10): 32 [] -bool(A)|bool(B)|and1(A,B)=phi(B).
% 1.98/2.17  ** KEPT (pick-wt=7): 33 [] -bool(A)|and1(false,A)=false.
% 1.98/2.17  ** KEPT (pick-wt=7): 34 [] -bool(A)|and1(true,A)=A.
% 1.98/2.17  ** KEPT (pick-wt=11): 35 [] -forallprefers(f1(A,B,C),f1(A,B,$f1(A,B))).
% 1.98/2.17  ** KEPT (pick-wt=11): 36 [] -forallprefers(f2(A,B,C),f2(A,B,$f2(A,B))).
% 1.98/2.17  ** KEPT (pick-wt=10): 37 [] -bool(A)|bool(B)|or1(A,B)=phi(B).
% 1.98/2.17  ** KEPT (pick-wt=7): 38 [] -bool(A)|or1(true,A)=true.
% 1.98/2.17  ** KEPT (pick-wt=7): 39 [] -bool(A)|or1(false,A)=A.
% 1.98/2.17  ** KEPT (pick-wt=11): 40 [] -forallprefers(f3(A,B,C),f3(A,B,$f3(A,B))).
% 1.98/2.17  ** KEPT (pick-wt=8): 41 [] -existsprefers(apply(A,B),apply(A,$f4(A))).
% 1.98/2.17  ** KEPT (pick-wt=11): 42 [] -forallprefers(f4(A,B,C),f4(A,$f5(A,C),C)).
% 1.98/2.17  ** KEPT (pick-wt=8): 43 [] -forallprefers(f6(A,B),f6(A,$f6(A))).
% 1.98/2.17  ** KEPT (pick-wt=5): 44 [] -forallprefers(f7(A),f7($c1)).
% 1.98/2.17  
% 1.98/2.17  ------------> process sos:
% 1.98/2.17  ** KEPT (pick-wt=3): 45 [] A=A.
% 1.98/2.17  ** KEPT (pick-wt=2): 46 [] d(true).
% 1.98/2.17  ** KEPT (pick-wt=2): 47 [] d(false).
% 1.98/2.17  ** KEPT (pick-wt=2): 48 [] d(err).
% 1.98/2.17  ** KEPT (pick-wt=6): 49 [] d(A)|phi(A)=err.
% 1.98/2.17  ** KEPT (pick-wt=8): 50 [] phi(A)=A|phi(A)=err.
% 1.98/2.17  ** KEPT (pick-wt=6): 51 [] prop(A)=false|bool(A).
% 1.98/2.17  ** KEPT (pick-wt=8): 52 [] bool(A)|impl(A,B)=phi(A).
% 1.98/2.17  ** KEPT (pick-wt=8): 53 [] bool(A)|lazy_impl(A,B)=phi(A).
% 1.98/2.17  ** KEPT (pick-wt=5): 54 [] lazy_impl(false,A)=true.
% 1.98/2.17  ---> New Demodulator: 55 [new_demod,54] lazy_impl(false,A)=true.
% 1.98/2.17  ** KEPT (pick-wt=6): 57 [copy,56,flip.1] phi(A)=lazy_impl(true,A).
% 1.98/2.17  ---> New Demodulator: 58 [new_demod,57] phi(A)=lazy_impl(true,A).
% 1.98/2.17  ** KEPT (pick-wt=9): 60 [copy,59,demod,58] bool(A)|and1(A,B)=lazy_impl(true,A).
% 1.98/2.17  ** KEPT (pick-wt=15): 62 [copy,61,flip.1] lazy_impl(prop(A),impl(impl(B,impl(C,A)),A))=f1(B,C,A).
% 1.98/2.17  ---> New Demodulator: 63 [new_demod,62] lazy_impl(prop(A),impl(impl(B,impl(C,A)),A))=f1(B,C,A).
% 1.98/2.17  ** KEPT (pick-wt=12): 65 [copy,64,demod,58,flip.1] lazy_impl(true,f1(A,B,$f1(A,B)))=and2(A,B).
% 1.98/2.17  ---> New Demodulator: 66 [new_demod,65] lazy_impl(true,f1(A,B,$f1(A,B)))=and2(A,B).
% 1.98/2.17  ** KEPT (pick-wt=9): 68 [copy,67,demod,58] bool(A)|lazy_and1(A,B)=lazy_impl(true,A).
% 1.98/2.17  ** KEPT (pick-wt=5): 69 [] lazy_and1(false,A)=false.
% 1.98/2.17  ---> New Demodulator: 70 [new_demod,69] lazy_and1(false,A)=false.
% 1.98/2.17  ** KEPT (pick-wt=7): 72 [copy,71,demod,58,flip.1] lazy_impl(true,A)=lazy_and1(true,A).
% 1.98/2.17  ---> New Demodulator: 73 [new_demod,72] lazy_impl(true,A)=lazy_and1(true,A).
% 1.98/2.17  ** KEPT (pick-wt=15): 75 [copy,74,flip.1] lazy_impl(prop(A),impl(lazy_impl(B,impl(C,A)),A))=f2(B,C,A).
% 1.98/2.17  ---> New Demodulator: 76 [new_demod,75] lazy_impl(prop(A),impl(lazy_impl(B,impl(C,A)),A))=f2(B,C,A).
% 1.98/2.17  ** KEPT (pick-wt=12): 78 [copy,77,demod,58,73] lazy_and2(A,B)=lazy_and1(true,f2(A,B,$f2(A,B))).
% 1.98/2.17  ---> New Demodulator: 79 [new_demod,78] lazy_and2(A,B)=lazy_and1(true,f2(A,B,$f2(A,B))).
% 1.98/2.17  ** KEPT (pick-wt=9): 81 [copy,80,demod,58,73] bool(A)|or1(A,B)=lazy_and1(true,A).
% 1.98/2.17  ** KEPT (pick-wt=17): 83 [copy,82,flip.1] lazy_impl(prop(A),impl(impl(B,A),impl(impl(C,A),A)))=f3(B,C,A).
% 1.98/2.17  ---> New Demodulator: 84 [new_demod,83] lazy_impl(prop(A),impl(impl(B,A),impl(impl(C,A),A)))=f3(B,C,A).
% 1.98/2.17  ** KEPT (pick-wt=12): 86 [copy,85,demod,58,73] or2(A,B)=lazy_and1(true,f3(A,B,$f3(A,B))).
% 1.98/2.17  ---> New Demodulator: 87 [new_demod,86] or2(A,B)=lazy_and1(true,f3(A,B,$f3(A,B))).
% 1.98/2.17  ** KEPT (pick-wt=9): 89 [copy,88,demod,58,73] exists1(A)=lazy_and1(true,apply(A,$f4(A))).
% 1.98/2.17  ---> New Demodulator: 90 [new_demod,89] exists1(A)=lazy_and1(true,apply(A,$f4(A))).
% 1.98/2.17  ** KEPT (pick-wt=10): 92 [copy,91,flip.1] impl(apply(A,B),C)=f4(A,B,C).
% 1.98/2.17  ---> New Demodulator: 93 [new_demod,92] impl(apply(A,B),C)=f4(A,B,C).
% 1.98/2.17  ** KEPT (pick-wt=12): 95 [copy,94,demod,58,73,flip.1] lazy_and1(true,f4(A,$f5(A,B),B))=f5(A,B).
% 1.98/2.17  ---> New Demodulator: 96 [new_demod,95] lazy_and1(true,f4(A,$f5(A,B),B))=f5(A,B).
% 1.98/2.17  ** KEPT (pick-wt=12): 98 [copy,97,flip.1] lazy_impl(prop(A),impl(f5(B,A),A))=f6(B,A).
% 1.98/2.17  ---> New Demodulator: 99 [new_demod,98] lazy_impl(prop(A),impl(f5(B,A),A))=f6(B,A).
% 1.98/2.17  ** KEPT (pick-wt=9): 101 [copy,100,demod,58,73] exists2(A)=lazy_and1(true,f6(A,$f6(A))).
% 1.98/2.17  ---> New Demodulator: 102 [new_demod,101] exists2(A)=lazy_and1(true,f6(A,$f6(A))).
% 13.33/13.52  ** KEPT (pick-wt=3): 103 [] false1=false.
% 13.33/13.52  ---> New Demodulator: 104 [new_demod,103] false1=false.
% 13.33/13.52  ** KEPT (pick-wt=7): 106 [copy,105,flip.1] lazy_impl(prop(A),A)=f7(A).
% 13.33/13.52  ---> New Demodulator: 107 [new_demod,106] lazy_impl(prop(A),A)=f7(A).
% 13.33/13.52  ** KEPT (pick-wt=6): 109 [copy,108,demod,58,73,flip.1] lazy_and1(true,f7($c1))=false2.
% 13.33/13.52  ---> New Demodulator: 110 [new_demod,109] lazy_and1(true,f7($c1))=false2.
% 13.33/13.52  ** KEPT (pick-wt=8): 112 [copy,111,demod,58,73] bool(A)|not1(A)=lazy_and1(true,A).
% 13.33/13.52  ** KEPT (pick-wt=4): 113 [] not1(false)=true.
% 13.33/13.52  ---> New Demodulator: 114 [new_demod,113] not1(false)=true.
% 13.33/13.52  ** KEPT (pick-wt=4): 115 [] not1(true)=false.
% 13.33/13.52  ---> New Demodulator: 116 [new_demod,115] not1(true)=false.
% 13.33/13.52  ** KEPT (pick-wt=6): 117 [] not2(A)=impl(A,false2).
% 13.33/13.52  ---> New Demodulator: 118 [new_demod,117] not2(A)=impl(A,false2).
% 13.33/13.52    Following clause subsumed by 45 during input processing: 0 [copy,45,flip.1] A=A.
% 13.33/13.52  >>>> Starting back demodulation with 55.
% 13.33/13.52  >>>> Starting back demodulation with 58.
% 13.33/13.52      >> back demodulating 53 with 58.
% 13.33/13.52      >> back demodulating 52 with 58.
% 13.33/13.52      >> back demodulating 50 with 58.
% 13.33/13.52      >> back demodulating 49 with 58.
% 13.33/13.52      >> back demodulating 37 with 58.
% 13.33/13.52      >> back demodulating 32 with 58.
% 13.33/13.52      >> back demodulating 29 with 58.
% 13.33/13.52      >> back demodulating 25 with 58.
% 13.33/13.52  >>>> Starting back demodulation with 63.
% 13.33/13.52  >>>> Starting back demodulation with 66.
% 13.33/13.52  >>>> Starting back demodulation with 70.
% 13.33/13.52  >>>> Starting back demodulation with 73.
% 13.33/13.52      >> back demodulating 68 with 73.
% 13.33/13.52      >> back demodulating 65 with 73.
% 13.33/13.52      >> back demodulating 60 with 73.
% 13.33/13.52      >> back demodulating 57 with 73.
% 13.33/13.52  >>>> Starting back demodulation with 76.
% 13.33/13.52  >>>> Starting back demodulation with 79.
% 13.33/13.52  >>>> Starting back demodulation with 84.
% 13.33/13.52  >>>> Starting back demodulation with 87.
% 13.33/13.52  >>>> Starting back demodulation with 90.
% 13.33/13.52  >>>> Starting back demodulation with 93.
% 13.33/13.52  >>>> Starting back demodulation with 96.
% 13.33/13.52  >>>> Starting back demodulation with 99.
% 13.33/13.52  >>>> Starting back demodulation with 102.
% 13.33/13.52  >>>> Starting back demodulation with 104.
% 13.33/13.52  >>>> Starting back demodulation with 107.
% 13.33/13.52  >>>> Starting back demodulation with 110.
% 13.33/13.52  >>>> Starting back demodulation with 114.
% 13.33/13.52  >>>> Starting back demodulation with 116.
% 13.33/13.52  >>>> Starting back demodulation with 118.
% 13.33/13.52  >>>> Starting back demodulation with 120.
% 13.33/13.52  >>>> Starting back demodulation with 131.
% 13.33/13.52  >>>> Starting back demodulation with 134.
% 13.33/13.52  
% 13.33/13.52  ======= end of input processing =======
% 13.33/13.52  
% 13.33/13.52  =========== start of search ===========
% 13.33/13.52  
% 13.33/13.52  
% 13.33/13.52  Resetting weight limit to 8.
% 13.33/13.52  
% 13.33/13.52  
% 13.33/13.52  Resetting weight limit to 8.
% 13.33/13.52  
% 13.33/13.52  sos_size=592
% 13.33/13.52  
% 13.33/13.52  
% 13.33/13.52  Resetting weight limit to 5.
% 13.33/13.52  
% 13.33/13.52  
% 13.33/13.52  Resetting weight limit to 5.
% 13.33/13.52  
% 13.33/13.52  sos_size=375
% 13.33/13.52  
% 13.33/13.52  Search stopped because sos empty.
% 13.33/13.52  
% 13.33/13.52  
% 13.33/13.52  Search stopped because sos empty.
% 13.33/13.52  
% 13.33/13.52  ============ end of search ============
% 13.33/13.52  
% 13.33/13.52  -------------- statistics -------------
% 13.33/13.52  clauses given                490
% 13.33/13.52  clauses generated        1167541
% 13.33/13.52  clauses kept                1084
% 13.33/13.52  clauses forward subsumed   11375
% 13.33/13.52  clauses back subsumed        192
% 13.33/13.52  Kbytes malloced             4882
% 13.33/13.52  
% 13.33/13.52  ----------- times (seconds) -----------
% 13.33/13.52  user CPU time         11.34          (0 hr, 0 min, 11 sec)
% 13.33/13.52  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 13.33/13.52  wall-clock time       13             (0 hr, 0 min, 13 sec)
% 13.33/13.52  
% 13.33/13.52  Process 8368 finished Wed Jul 27 03:00:50 2022
% 13.33/13.52  Otter interrupted
% 13.33/13.52  PROOF NOT FOUND
%------------------------------------------------------------------------------