TSTP Solution File: ITP020+2 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : ITP020+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n013.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 12:59:09 EDT 2022

% Result   : Unknown 2.84s 3.04s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP020+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.00/0.13  % Command  : otter-tptp-script %s
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Jul 27 02:40:45 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 2.55/2.78  ----- Otter 3.3f, August 2004 -----
% 2.55/2.78  The process was started by sandbox on n013.cluster.edu,
% 2.55/2.78  Wed Jul 27 02:40:45 2022
% 2.55/2.78  The command was "./otter".  The process ID is 27979.
% 2.55/2.78  
% 2.55/2.78  set(prolog_style_variables).
% 2.55/2.78  set(auto).
% 2.55/2.78     dependent: set(auto1).
% 2.55/2.78     dependent: set(process_input).
% 2.55/2.78     dependent: clear(print_kept).
% 2.55/2.78     dependent: clear(print_new_demod).
% 2.55/2.78     dependent: clear(print_back_demod).
% 2.55/2.78     dependent: clear(print_back_sub).
% 2.55/2.78     dependent: set(control_memory).
% 2.55/2.78     dependent: assign(max_mem, 12000).
% 2.55/2.78     dependent: assign(pick_given_ratio, 4).
% 2.55/2.78     dependent: assign(stats_level, 1).
% 2.55/2.78     dependent: assign(max_seconds, 10800).
% 2.55/2.78  clear(print_given).
% 2.55/2.78  
% 2.55/2.78  formula_list(usable).
% 2.55/2.78  all A (A=A).
% 2.55/2.78  ne(bool).
% 2.55/2.78  ne(ind).
% 2.55/2.78  all A (ne(A)-> (all B (ne(B)->ne(arr(A,B))))).
% 2.55/2.78  all A B F (mem(F,arr(A,B))-> (all X (mem(X,A)->mem(ap(F,X),B)))).
% 2.55/2.78  all Q (mem(Q,bool)-> (all R (mem(R,bool)-> ((p(Q)<->p(R))->Q=R)))).
% 2.55/2.78  all A B F (mem(F,arr(A,B))-> (all G (mem(G,arr(A,B))-> ((all X (mem(X,A)->ap(F,X)=ap(G,X)))->F=G)))).
% 2.55/2.78  all A Y X (mem(X,A)->ap(k(A,Y),X)=Y).
% 2.55/2.78  all A X (mem(X,A)->ap(i(A),X)=X).
% 2.55/2.78  mem(c_2Ebool_2ET,bool).
% 2.55/2.78  p(c_2Ebool_2ET).
% 2.55/2.78  mem(c_2Ebool_2EF,bool).
% 2.55/2.78  -p(c_2Ebool_2EF).
% 2.55/2.78  mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))).
% 2.55/2.78  all Q (mem(Q,bool)-> (all R (mem(R,bool)-> (p(ap(ap(c_2Emin_2E_3D_3D_3E,Q),R))<-> (p(Q)->p(R)))))).
% 2.55/2.78  mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool))).
% 2.55/2.78  all Q (mem(Q,bool)-> (all R (mem(R,bool)-> (p(ap(ap(c_2Ebool_2E_5C_2F,Q),R))<->p(Q)|p(R))))).
% 2.55/2.78  mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))).
% 2.55/2.78  all Q (mem(Q,bool)-> (all R (mem(R,bool)-> (p(ap(ap(c_2Ebool_2E_2F_5C,Q),R))<->p(Q)&p(R))))).
% 2.55/2.78  mem(c_2Ebool_2E_7E,arr(bool,bool)).
% 2.55/2.78  all Q (mem(Q,bool)-> (p(ap(c_2Ebool_2E_7E,Q))<-> -p(Q))).
% 2.55/2.78  all A_27a (ne(A_27a)->mem(c_2Emin_2E_3D(A_27a),arr(A_27a,arr(A_27a,bool)))).
% 2.55/2.78  all A (ne(A)-> (all X (mem(X,A)-> (all Y (mem(Y,A)-> (p(ap(ap(c_2Emin_2E_3D(A),X),Y))<->X=Y)))))).
% 2.55/2.78  all A_27a (ne(A_27a)->mem(c_2Ebool_2E_21(A_27a),arr(arr(A_27a,bool),bool))).
% 2.55/2.78  all A (ne(A)-> (all Q (mem(Q,arr(A,bool))-> (p(ap(c_2Ebool_2E_21(A),Q))<-> (all X (mem(X,A)->p(ap(Q,X)))))))).
% 2.55/2.78  all A_27a (ne(A_27a)->mem(c_2Epred__set_2EUNIV(A_27a),arr(A_27a,bool))).
% 2.55/2.78  all A0 (ne(A0)-> (all A1 (ne(A1)->ne(ty_2Epair_2Eprod(A0,A1))))).
% 2.55/2.78  all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)->mem(c_2Epred__set_2ECROSS(A_27a,A_27b),arr(arr(A_27a,bool),arr(arr(A_27b,bool),arr(ty_2Epair_2Eprod(A_27a,A_27b),bool))))))).
% 2.55/2.78  all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)->mem(c_2Epred__set_2EBIJ(A_27a,A_27b),arr(arr(A_27a,A_27b),arr(arr(A_27a,bool),arr(arr(A_27b,bool),bool))))))).
% 2.55/2.78  ne(ty_2Enum_2Enum).
% 2.55/2.78  all A_27a (ne(A_27a)->mem(c_2Ebool_2E_3F(A_27a),arr(arr(A_27a,bool),bool))).
% 2.55/2.78  all A (ne(A)-> (all Q (mem(Q,arr(A,bool))-> (p(ap(c_2Ebool_2E_3F(A),Q))<-> (exists X (mem(X,A)&p(ap(Q,X)))))))).
% 2.55/2.78  $T.
% 2.55/2.78  all V0t1 (mem(V0t1,bool)-> (all V1t2 (mem(V1t2,bool)-> ((p(V0t1)->p(V1t2))-> ((p(V1t2)->p(V0t1))-> (p(V0t1)<->p(V1t2))))))).
% 2.55/2.78  all V0t (mem(V0t,bool)-> (-p(V0t)-> -p(V0t))).
% 2.55/2.78  all V0t (mem(V0t,bool)-> (-p(V0t)-> -p(V0t))).
% 2.55/2.78  all V0t (mem(V0t,bool)-> (p(V0t)<->p(V0t))& ((p(V0t)->$T)<->$T)& (($F->p(V0t))<->$T)& ((p(V0t)->p(V0t))<->$T)& (-p(V0t)<-> -p(V0t))).
% 2.55/2.78  all V0t (mem(V0t,bool)-> (-(-p(V0t))<->p(V0t))).
% 2.55/2.78  -$T<->$F.
% 2.55/2.78  -$F<->$T.
% 2.55/2.78  all A_27a (ne(A_27a)-> (all V0x (mem(V0x,A_27a)-> (all V1y (mem(V1y,A_27a)-> (V0x=V1y<->V1y=V0x)))))).
% 2.55/2.78  all V0t (mem(V0t,bool)-> (($T<->p(V0t))<->p(V0t))& ((p(V0t)<->$T)<->p(V0t))& (($F<->p(V0t))<-> -p(V0t))& ((p(V0t)<->$F)<-> -p(V0t))).
% 2.55/2.78  all A_27a (ne(A_27a)-> (all V0P (mem(V0P,arr(A_27a,bool))-> (-(exists V1x (mem(V1x,A_27a)&p(ap(V0P,V1x))))<-> (all V2x (mem(V2x,A_27a)-> -p(ap(V0P,V2x)))))))).
% 2.55/2.78  all A_27a (ne(A_27a)-> (all V0P (mem(V0P,arr(A_27a,bool))-> (all V1Q (mem(V1Q,bool)-> ((all V2x (mem(V2x,A_27a)->p(ap(V0P,V2x))))&p(V1Q)<-> (all V3x (mem(V3x,A_27a)->p(ap(V0P,V3x))&p(V1Q))))))))).
% 2.55/2.78  all A_27a (ne(A_27a)-> (all V0P (mem(V0P,bool)-> (all V1Q (mem(V1Q,arr(A_27a,bool))-> (p(V0P)& (all V2x (mem(V2x,A_27a)->p(ap(V1Q,V2x))))<-> (all V3x (mem(V3x,A_27a)->p(V0P)&p(ap(V1Q,V3x)))))))))).
% 2.55/2.78  all A_27a (ne(A_27a)-> (all V0P (mem(V0P,arr(A_27a,bool))-> (all V1Q (mem(V1Q,bool)-> ((exists V2x (mem(V2x,A_27a)&p(ap(V0P,V2x))))|p(V1Q)<-> (exists V3x (mem(V3x,A_27a)& (p(ap(V0P,V3x))|p(V1Q)))))))))).
% 2.55/2.78  all A_27a (ne(A_27a)-> (all V0P (mem(V0P,bool)-> (all V1Q (mem(V1Q,arr(A_27a,bool))-> (p(V0P)| (exists V2x (mem(V2x,A_27a)&p(ap(V1Q,V2x))))<-> (exists V3x (mem(V3x,A_27a)& (p(V0P)|p(ap(V1Q,V3x))))))))))).
% 2.55/2.78  all A_27a (ne(A_27a)-> (all V0P (mem(V0P,arr(A_27a,bool))-> (all V1Q (mem(V1Q,bool)-> ((exists V2x (mem(V2x,A_27a)&p(ap(V0P,V2x))&p(V1Q)))<-> (exists V3x (mem(V3x,A_27a)&p(ap(V0P,V3x))))&p(V1Q))))))).
% 2.55/2.78  all A_27a (ne(A_27a)-> (all V0P (mem(V0P,bool)-> (all V1Q (mem(V1Q,arr(A_27a,bool))-> ((exists V2x (mem(V2x,A_27a)&p(V0P)&p(ap(V1Q,V2x))))<->p(V0P)& (exists V3x (mem(V3x,A_27a)&p(ap(V1Q,V3x)))))))))).
% 2.55/2.78  all A_27a (ne(A_27a)-> (all V0Q (mem(V0Q,bool)-> (all V1P (mem(V1P,arr(A_27a,bool))-> ((all V2x (mem(V2x,A_27a)->p(ap(V1P,V2x))|p(V0Q)))<-> (all V3x (mem(V3x,A_27a)->p(ap(V1P,V3x))))|p(V0Q))))))).
% 2.55/2.78  all A_27a (ne(A_27a)-> (all V0P (mem(V0P,bool)-> (all V1Q (mem(V1Q,arr(A_27a,bool))-> ((all V2x (mem(V2x,A_27a)->p(V0P)|p(ap(V1Q,V2x))))<->p(V0P)| (all V3x (mem(V3x,A_27a)->p(ap(V1Q,V3x)))))))))).
% 2.55/2.78  all V0A (mem(V0A,bool)-> (all V1B (mem(V1B,bool)-> (p(V0A)|p(V1B)<->p(V1B)|p(V0A))))).
% 2.55/2.78  all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)-> (all V0P (mem(V0P,arr(A_27a,arr(A_27b,bool)))-> ((all V1x (mem(V1x,A_27a)-> (exists V2y (mem(V2y,A_27b)&p(ap(ap(V0P,V1x),V2y))))))<-> (exists V3f (mem(V3f,arr(A_27a,A_27b))& (all V4x (mem(V4x,A_27a)->p(ap(ap(V0P,V4x),ap(V3f,V4x))))))))))))).
% 2.55/2.78  all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)-> (all V0s (mem(V0s,arr(A_27a,bool))-> (all V1t (mem(V1t,arr(A_27b,bool))-> ((exists V2f (mem(V2f,arr(A_27a,A_27b))&p(ap(ap(ap(c_2Epred__set_2EBIJ(A_27a,A_27b),V2f),V0s),V1t))))<-> (exists V3g (mem(V3g,arr(A_27b,A_27a))&p(ap(ap(ap(c_2Epred__set_2EBIJ(A_27b,A_27a),V3g),V1t),V0s)))))))))))).
% 2.55/2.78  all V0t (mem(V0t,bool)-> (-(-p(V0t))<->p(V0t))).
% 2.55/2.78  all V0A (mem(V0A,bool)-> (p(V0A)-> -(-p(V0A)))).
% 2.55/2.78  all V0A (mem(V0A,bool)-> (all V1B (mem(V1B,bool)-> (-(-(p(V0A)|p(V1B)))<-> (-p(V0A)-> -(-p(V1B))))))).
% 2.55/2.78  all V0A (mem(V0A,bool)-> (all V1B (mem(V1B,bool)-> (-(-(-p(V0A)|p(V1B)))<-> (p(V0A)-> -(-p(V1B))))))).
% 2.55/2.78  all V0A (mem(V0A,bool)-> (-(-p(V0A))-> -(-p(V0A)))).
% 2.55/2.78  all V0p (mem(V0p,bool)-> (all V1q (mem(V1q,bool)-> (all V2r (mem(V2r,bool)-> ((p(V0p)<-> (p(V1q)<->p(V2r)))<-> (p(V0p)|p(V1q)|p(V2r))& (p(V0p)| -p(V2r)| -p(V1q))& (p(V1q)| -p(V2r)| -p(V0p))& (p(V2r)| -p(V1q)| -p(V0p)))))))).
% 2.55/2.78  all V0p (mem(V0p,bool)-> (all V1q (mem(V1q,bool)-> (all V2r (mem(V2r,bool)-> ((p(V0p)<->p(V1q)&p(V2r))<-> (p(V0p)| -p(V1q)| -p(V2r))& (p(V1q)| -p(V0p))& (p(V2r)| -p(V0p)))))))).
% 2.55/2.78  all V0p (mem(V0p,bool)-> (all V1q (mem(V1q,bool)-> (all V2r (mem(V2r,bool)-> ((p(V0p)<->p(V1q)|p(V2r))<-> (p(V0p)| -p(V1q))& (p(V0p)| -p(V2r))& (p(V1q)|p(V2r)| -p(V0p)))))))).
% 2.55/2.78  all V0p (mem(V0p,bool)-> (all V1q (mem(V1q,bool)-> (all V2r (mem(V2r,bool)-> ((p(V0p)<-> (p(V1q)->p(V2r)))<-> (p(V0p)|p(V1q))& (p(V0p)| -p(V2r))& (-p(V1q)|p(V2r)| -p(V0p)))))))).
% 2.55/2.78  all V0p (mem(V0p,bool)-> (all V1q (mem(V1q,bool)-> ((p(V0p)<-> -p(V1q))<-> (p(V0p)|p(V1q))& (-p(V1q)| -p(V0p)))))).
% 2.55/2.78  exists V0f (mem(V0f,arr(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum))&p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum),V0f),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)))).
% 2.55/2.78  -(exists V0f (mem(V0f,arr(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)))&p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),V0f),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)))))).
% 2.55/2.78  end_of_list.
% 2.55/2.78  
% 2.55/2.78  -------> usable clausifies to:
% 2.55/2.78  
% 2.55/2.78  list(usable).
% 2.55/2.78  0 [] A=A.
% 2.55/2.78  0 [] ne(bool).
% 2.55/2.78  0 [] ne(ind).
% 2.55/2.78  0 [] -ne(A)| -ne(B)|ne(arr(A,B)).
% 2.55/2.78  0 [] -mem(F,arr(A,B))| -mem(X,A)|mem(ap(F,X),B).
% 2.55/2.78  0 [] -mem(Q,bool)| -mem(R,bool)|p(Q)|p(R)|Q=R.
% 2.55/2.78  0 [] -mem(Q,bool)| -mem(R,bool)| -p(Q)| -p(R)|Q=R.
% 2.55/2.78  0 [] -mem(F,arr(A,B))| -mem(G,arr(A,B))|mem($f1(A,B,F,G),A)|F=G.
% 2.55/2.78  0 [] -mem(F,arr(A,B))| -mem(G,arr(A,B))|ap(F,$f1(A,B,F,G))!=ap(G,$f1(A,B,F,G))|F=G.
% 2.55/2.78  0 [] -mem(X,A)|ap(k(A,Y),X)=Y.
% 2.55/2.78  0 [] -mem(X,A)|ap(i(A),X)=X.
% 2.55/2.78  0 [] mem(c_2Ebool_2ET,bool).
% 2.55/2.78  0 [] p(c_2Ebool_2ET).
% 2.55/2.78  0 [] mem(c_2Ebool_2EF,bool).
% 2.55/2.78  0 [] -p(c_2Ebool_2EF).
% 2.55/2.78  0 [] mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))).
% 2.55/2.78  0 [] -mem(Q,bool)| -mem(R,bool)| -p(ap(ap(c_2Emin_2E_3D_3D_3E,Q),R))| -p(Q)|p(R).
% 2.55/2.78  0 [] -mem(Q,bool)| -mem(R,bool)|p(ap(ap(c_2Emin_2E_3D_3D_3E,Q),R))|p(Q).
% 2.55/2.78  0 [] -mem(Q,bool)| -mem(R,bool)|p(ap(ap(c_2Emin_2E_3D_3D_3E,Q),R))| -p(R).
% 2.55/2.78  0 [] mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool))).
% 2.55/2.78  0 [] -mem(Q,bool)| -mem(R,bool)| -p(ap(ap(c_2Ebool_2E_5C_2F,Q),R))|p(Q)|p(R).
% 2.55/2.78  0 [] -mem(Q,bool)| -mem(R,bool)|p(ap(ap(c_2Ebool_2E_5C_2F,Q),R))| -p(Q).
% 2.55/2.78  0 [] -mem(Q,bool)| -mem(R,bool)|p(ap(ap(c_2Ebool_2E_5C_2F,Q),R))| -p(R).
% 2.55/2.78  0 [] mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))).
% 2.55/2.78  0 [] -mem(Q,bool)| -mem(R,bool)| -p(ap(ap(c_2Ebool_2E_2F_5C,Q),R))|p(Q).
% 2.55/2.78  0 [] -mem(Q,bool)| -mem(R,bool)| -p(ap(ap(c_2Ebool_2E_2F_5C,Q),R))|p(R).
% 2.55/2.78  0 [] -mem(Q,bool)| -mem(R,bool)|p(ap(ap(c_2Ebool_2E_2F_5C,Q),R))| -p(Q)| -p(R).
% 2.55/2.78  0 [] mem(c_2Ebool_2E_7E,arr(bool,bool)).
% 2.55/2.78  0 [] -mem(Q,bool)| -p(ap(c_2Ebool_2E_7E,Q))| -p(Q).
% 2.55/2.78  0 [] -mem(Q,bool)|p(ap(c_2Ebool_2E_7E,Q))|p(Q).
% 2.55/2.78  0 [] -ne(A_27a)|mem(c_2Emin_2E_3D(A_27a),arr(A_27a,arr(A_27a,bool))).
% 2.55/2.78  0 [] -ne(A)| -mem(X,A)| -mem(Y,A)| -p(ap(ap(c_2Emin_2E_3D(A),X),Y))|X=Y.
% 2.55/2.78  0 [] -ne(A)| -mem(X,A)| -mem(Y,A)|p(ap(ap(c_2Emin_2E_3D(A),X),Y))|X!=Y.
% 2.55/2.78  0 [] -ne(A_27a)|mem(c_2Ebool_2E_21(A_27a),arr(arr(A_27a,bool),bool)).
% 2.55/2.78  0 [] -ne(A)| -mem(Q,arr(A,bool))| -p(ap(c_2Ebool_2E_21(A),Q))| -mem(X,A)|p(ap(Q,X)).
% 2.55/2.78  0 [] -ne(A)| -mem(Q,arr(A,bool))|p(ap(c_2Ebool_2E_21(A),Q))|mem($f2(A,Q),A).
% 2.55/2.78  0 [] -ne(A)| -mem(Q,arr(A,bool))|p(ap(c_2Ebool_2E_21(A),Q))| -p(ap(Q,$f2(A,Q))).
% 2.55/2.78  0 [] -ne(A_27a)|mem(c_2Epred__set_2EUNIV(A_27a),arr(A_27a,bool)).
% 2.55/2.78  0 [] -ne(A0)| -ne(A1)|ne(ty_2Epair_2Eprod(A0,A1)).
% 2.55/2.78  0 [] -ne(A_27a)| -ne(A_27b)|mem(c_2Epred__set_2ECROSS(A_27a,A_27b),arr(arr(A_27a,bool),arr(arr(A_27b,bool),arr(ty_2Epair_2Eprod(A_27a,A_27b),bool)))).
% 2.55/2.78  0 [] -ne(A_27a)| -ne(A_27b)|mem(c_2Epred__set_2EBIJ(A_27a,A_27b),arr(arr(A_27a,A_27b),arr(arr(A_27a,bool),arr(arr(A_27b,bool),bool)))).
% 2.55/2.78  0 [] ne(ty_2Enum_2Enum).
% 2.55/2.78  0 [] -ne(A_27a)|mem(c_2Ebool_2E_3F(A_27a),arr(arr(A_27a,bool),bool)).
% 2.55/2.78  0 [] -ne(A)| -mem(Q,arr(A,bool))| -p(ap(c_2Ebool_2E_3F(A),Q))|mem($f3(A,Q),A).
% 2.55/2.78  0 [] -ne(A)| -mem(Q,arr(A,bool))| -p(ap(c_2Ebool_2E_3F(A),Q))|p(ap(Q,$f3(A,Q))).
% 2.55/2.78  0 [] -ne(A)| -mem(Q,arr(A,bool))|p(ap(c_2Ebool_2E_3F(A),Q))| -mem(X,A)| -p(ap(Q,X)).
% 2.55/2.78  0 [] $T.
% 2.55/2.78  0 [] -mem(V0t,bool)| -$F|p(V0t)| -$T.
% 2.55/2.78  0 [] -mem(V0t,bool)|$T.
% 2.55/2.78  0 [] $T|$F.
% 2.55/2.78  0 [] -$T| -$F.
% 2.55/2.78  0 [] $F|$T.
% 2.55/2.78  0 [] -$F| -$T.
% 2.55/2.78  0 [] -ne(A_27a)| -mem(V0x,A_27a)| -mem(V1y,A_27a)|V0x!=V1y|V1y=V0x.
% 2.55/2.78  0 [] -ne(A_27a)| -mem(V0x,A_27a)| -mem(V1y,A_27a)|V0x=V1y|V1y!=V0x.
% 2.55/2.78  0 [] -mem(V0t,bool)|$T|p(V0t).
% 2.55/2.78  0 [] -mem(V0t,bool)|$T| -p(V0t).
% 2.55/2.78  0 [] -mem(V0t,bool)| -$F| -p(V0t).
% 2.55/2.78  0 [] -mem(V0t,bool)| -$F|p(V0t).
% 2.55/2.78  0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))|mem($f4(A_27a,V0P),A_27a)| -mem(V2x,A_27a)| -p(ap(V0P,V2x)).
% 2.55/2.78  0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))|p(ap(V0P,$f4(A_27a,V0P)))| -mem(V2x,A_27a)| -p(ap(V0P,V2x)).
% 2.55/2.78  0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1x,A_27a)| -p(ap(V0P,V1x))|mem($f5(A_27a,V0P),A_27a).
% 2.55/2.78  0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1x,A_27a)| -p(ap(V0P,V1x))|p(ap(V0P,$f5(A_27a,V0P))).
% 2.55/2.78  0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1Q,bool)|mem($f6(A_27a,V0P,V1Q),A_27a)| -p(V1Q)| -mem(V3x,A_27a)|p(ap(V0P,V3x)).
% 2.55/2.78  0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1Q,bool)| -p(ap(V0P,$f6(A_27a,V0P,V1Q)))| -p(V1Q)| -mem(V3x,A_27a)|p(ap(V0P,V3x)).
% 2.55/2.78  0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1Q,bool)| -mem(V2x,A_27a)|p(ap(V0P,V2x))|mem($f7(A_27a,V0P,V1Q),A_27a).
% 2.55/2.78  0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1Q,bool)| -mem(V2x,A_27a)|p(ap(V0P,V2x))| -p(ap(V0P,$f7(A_27a,V0P,V1Q)))| -p(V1Q).
% 2.55/2.78  0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1Q,bool)|p(V1Q)|mem($f7(A_27a,V0P,V1Q),A_27a).
% 2.55/2.78  0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1Q,arr(A_27a,bool))| -p(V0P)|mem($f8(A_27a,V0P,V1Q),A_27a)| -mem(V3x,A_27a)|p(ap(V1Q,V3x)).
% 2.55/2.78  0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1Q,arr(A_27a,bool))| -p(V0P)| -p(ap(V1Q,$f8(A_27a,V0P,V1Q)))| -mem(V3x,A_27a)|p(ap(V1Q,V3x)).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1Q,arr(A_27a,bool))|p(V0P)|mem($f9(A_27a,V0P,V1Q),A_27a).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1Q,arr(A_27a,bool))| -mem(V2x,A_27a)|p(ap(V1Q,V2x))|mem($f9(A_27a,V0P,V1Q),A_27a).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1Q,arr(A_27a,bool))| -mem(V2x,A_27a)|p(ap(V1Q,V2x))| -p(V0P)| -p(ap(V1Q,$f9(A_27a,V0P,V1Q))).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1Q,bool)| -mem(V2x,A_27a)| -p(ap(V0P,V2x))|mem($f10(A_27a,V0P,V1Q),A_27a).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1Q,bool)| -mem(V2x,A_27a)| -p(ap(V0P,V2x))|p(ap(V0P,$f10(A_27a,V0P,V1Q)))|p(V1Q).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1Q,bool)| -p(V1Q)|mem($f10(A_27a,V0P,V1Q),A_27a).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1Q,bool)|mem($f11(A_27a,V0P,V1Q),A_27a)|p(V1Q)| -mem(V3x,A_27a)| -p(ap(V0P,V3x)).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1Q,bool)|p(ap(V0P,$f11(A_27a,V0P,V1Q)))|p(V1Q)| -mem(V3x,A_27a)| -p(ap(V0P,V3x)).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1Q,arr(A_27a,bool))| -p(V0P)|mem($f12(A_27a,V0P,V1Q),A_27a).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1Q,arr(A_27a,bool))| -mem(V2x,A_27a)| -p(ap(V1Q,V2x))|mem($f12(A_27a,V0P,V1Q),A_27a).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1Q,arr(A_27a,bool))| -mem(V2x,A_27a)| -p(ap(V1Q,V2x))|p(V0P)|p(ap(V1Q,$f12(A_27a,V0P,V1Q))).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1Q,arr(A_27a,bool))|p(V0P)|mem($f13(A_27a,V0P,V1Q),A_27a)| -mem(V3x,A_27a)| -p(ap(V1Q,V3x)).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1Q,arr(A_27a,bool))|p(V0P)|p(ap(V1Q,$f13(A_27a,V0P,V1Q)))| -mem(V3x,A_27a)| -p(ap(V1Q,V3x)).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1Q,bool)| -mem(V2x,A_27a)| -p(ap(V0P,V2x))| -p(V1Q)|mem($f14(A_27a,V0P,V1Q),A_27a).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1Q,bool)| -mem(V2x,A_27a)| -p(ap(V0P,V2x))| -p(V1Q)|p(ap(V0P,$f14(A_27a,V0P,V1Q))).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1Q,bool)|mem($f15(A_27a,V0P,V1Q),A_27a)| -mem(V3x,A_27a)| -p(ap(V0P,V3x))| -p(V1Q).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1Q,bool)|p(ap(V0P,$f15(A_27a,V0P,V1Q)))| -mem(V3x,A_27a)| -p(ap(V0P,V3x))| -p(V1Q).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1Q,arr(A_27a,bool))| -mem(V2x,A_27a)| -p(V0P)| -p(ap(V1Q,V2x))|mem($f16(A_27a,V0P,V1Q),A_27a).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1Q,arr(A_27a,bool))| -mem(V2x,A_27a)| -p(V0P)| -p(ap(V1Q,V2x))|p(ap(V1Q,$f16(A_27a,V0P,V1Q))).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1Q,arr(A_27a,bool))|mem($f17(A_27a,V0P,V1Q),A_27a)| -p(V0P)| -mem(V3x,A_27a)| -p(ap(V1Q,V3x)).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1Q,arr(A_27a,bool))|p(ap(V1Q,$f17(A_27a,V0P,V1Q)))| -p(V0P)| -mem(V3x,A_27a)| -p(ap(V1Q,V3x)).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0Q,bool)| -mem(V1P,arr(A_27a,bool))|mem($f18(A_27a,V0Q,V1P),A_27a)| -mem(V3x,A_27a)|p(ap(V1P,V3x))|p(V0Q).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0Q,bool)| -mem(V1P,arr(A_27a,bool))| -p(ap(V1P,$f18(A_27a,V0Q,V1P)))| -mem(V3x,A_27a)|p(ap(V1P,V3x))|p(V0Q).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0Q,bool)| -mem(V1P,arr(A_27a,bool))| -mem(V2x,A_27a)|p(ap(V1P,V2x))|p(V0Q)|mem($f19(A_27a,V0Q,V1P),A_27a).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0Q,bool)| -mem(V1P,arr(A_27a,bool))| -mem(V2x,A_27a)|p(ap(V1P,V2x))|p(V0Q)| -p(ap(V1P,$f19(A_27a,V0Q,V1P))).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1Q,arr(A_27a,bool))|mem($f20(A_27a,V0P,V1Q),A_27a)|p(V0P)| -mem(V3x,A_27a)|p(ap(V1Q,V3x)).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1Q,arr(A_27a,bool))| -p(ap(V1Q,$f20(A_27a,V0P,V1Q)))|p(V0P)| -mem(V3x,A_27a)|p(ap(V1Q,V3x)).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1Q,arr(A_27a,bool))| -mem(V2x,A_27a)|p(V0P)|p(ap(V1Q,V2x))|mem($f21(A_27a,V0P,V1Q),A_27a).
% 2.55/2.79  0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1Q,arr(A_27a,bool))| -mem(V2x,A_27a)|p(V0P)|p(ap(V1Q,V2x))| -p(ap(V1Q,$f21(A_27a,V0P,V1Q))).
% 2.55/2.79  0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0P,arr(A_27a,arr(A_27b,bool)))|mem($f22(A_27a,A_27b,V0P),A_27a)|mem($f23(A_27a,A_27b,V0P),arr(A_27a,A_27b)).
% 2.55/2.79  0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0P,arr(A_27a,arr(A_27b,bool)))|mem($f22(A_27a,A_27b,V0P),A_27a)| -mem(V4x,A_27a)|p(ap(ap(V0P,V4x),ap($f23(A_27a,A_27b,V0P),V4x))).
% 2.55/2.79  0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0P,arr(A_27a,arr(A_27b,bool)))| -mem(V2y,A_27b)| -p(ap(ap(V0P,$f22(A_27a,A_27b,V0P)),V2y))|mem($f23(A_27a,A_27b,V0P),arr(A_27a,A_27b)).
% 2.55/2.79  0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0P,arr(A_27a,arr(A_27b,bool)))| -mem(V2y,A_27b)| -p(ap(ap(V0P,$f22(A_27a,A_27b,V0P)),V2y))| -mem(V4x,A_27a)|p(ap(ap(V0P,V4x),ap($f23(A_27a,A_27b,V0P),V4x))).
% 2.55/2.79  0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0P,arr(A_27a,arr(A_27b,bool)))| -mem(V1x,A_27a)|mem($f24(A_27a,A_27b,V0P,V1x),A_27b)| -mem(V3f,arr(A_27a,A_27b))|mem($f25(A_27a,A_27b,V0P,V3f),A_27a).
% 2.55/2.79  0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0P,arr(A_27a,arr(A_27b,bool)))| -mem(V1x,A_27a)|mem($f24(A_27a,A_27b,V0P,V1x),A_27b)| -mem(V3f,arr(A_27a,A_27b))| -p(ap(ap(V0P,$f25(A_27a,A_27b,V0P,V3f)),ap(V3f,$f25(A_27a,A_27b,V0P,V3f)))).
% 2.55/2.79  0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0P,arr(A_27a,arr(A_27b,bool)))| -mem(V1x,A_27a)|p(ap(ap(V0P,V1x),$f24(A_27a,A_27b,V0P,V1x)))| -mem(V3f,arr(A_27a,A_27b))|mem($f25(A_27a,A_27b,V0P,V3f),A_27a).
% 2.55/2.79  0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0P,arr(A_27a,arr(A_27b,bool)))| -mem(V1x,A_27a)|p(ap(ap(V0P,V1x),$f24(A_27a,A_27b,V0P,V1x)))| -mem(V3f,arr(A_27a,A_27b))| -p(ap(ap(V0P,$f25(A_27a,A_27b,V0P,V3f)),ap(V3f,$f25(A_27a,A_27b,V0P,V3f)))).
% 2.55/2.79  0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0s,arr(A_27a,bool))| -mem(V1t,arr(A_27b,bool))| -mem(V2f,arr(A_27a,A_27b))| -p(ap(ap(ap(c_2Epred__set_2EBIJ(A_27a,A_27b),V2f),V0s),V1t))|mem($f26(A_27a,A_27b,V0s,V1t),arr(A_27b,A_27a)).
% 2.55/2.79  0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0s,arr(A_27a,bool))| -mem(V1t,arr(A_27b,bool))| -mem(V2f,arr(A_27a,A_27b))| -p(ap(ap(ap(c_2Epred__set_2EBIJ(A_27a,A_27b),V2f),V0s),V1t))|p(ap(ap(ap(c_2Epred__set_2EBIJ(A_27b,A_27a),$f26(A_27a,A_27b,V0s,V1t)),V1t),V0s)).
% 2.55/2.79  0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0s,arr(A_27a,bool))| -mem(V1t,arr(A_27b,bool))|mem($f27(A_27a,A_27b,V0s,V1t),arr(A_27a,A_27b))| -mem(V3g,arr(A_27b,A_27a))| -p(ap(ap(ap(c_2Epred__set_2EBIJ(A_27b,A_27a),V3g),V1t),V0s)).
% 2.55/2.79  0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0s,arr(A_27a,bool))| -mem(V1t,arr(A_27b,bool))|p(ap(ap(ap(c_2Epred__set_2EBIJ(A_27a,A_27b),$f27(A_27a,A_27b,V0s,V1t)),V0s),V1t))| -mem(V3g,arr(A_27b,A_27a))| -p(ap(ap(ap(c_2Epred__set_2EBIJ(A_27b,A_27a),V3g),V1t),V0s)).
% 2.55/2.79  0 [] mem($c1,arr(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum)).
% 2.55/2.79  0 [] p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum),$c1),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))).
% 2.55/2.79  0 [] -mem(V0f,arr(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)))| -p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),V0f),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)))).
% 2.55/2.79  end_of_list.
% 2.55/2.79  
% 2.55/2.79  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 2.55/2.79  
% 2.55/2.79  This ia a non-Horn set with equality.  The strategy will be
% 2.55/2.79  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.55/2.79  deletion, with positive clauses in sos and nonpositive
% 2.55/2.79  clauses in usable.
% 2.55/2.79  
% 2.55/2.79     dependent: set(knuth_bendix).
% 2.55/2.79     dependent: set(anl_eq).
% 2.55/2.79     dependent: set(para_from).
% 2.55/2.79     dependent: set(para_into).
% 2.55/2.79     dependent: clear(para_from_right).
% 2.55/2.79     dependent: clear(para_into_right).
% 2.55/2.79     dependent: set(para_from_vars).
% 2.55/2.79     dependent: set(eq_units_both_ways).
% 2.55/2.79     dependent: set(dynamic_demod_all).
% 2.55/2.79     dependent: set(dynamic_demod).
% 2.55/2.79     dependent: set(order_eq).
% 2.55/2.79     dependent: set(back_demod).
% 2.55/2.79     dependent: set(lrpo).
% 2.55/2.79     dependent: set(hyper_res).
% 2.55/2.79     dependent: set(unit_deletion).
% 2.55/2.79     dependent: set(factor).
% 2.55/2.79  
% 2.55/2.79  ------------> process usable:
% 2.55/2.79  ** KEPT (pick-wt=8): 1 [] -ne(A)| -ne(B)|ne(arr(A,B)).
% 2.55/2.79  ** KEPT (pick-wt=13): 2 [] -mem(A,arr(B,C))| -mem(D,B)|mem(ap(A,D),C).
% 2.55/2.79  ** KEPT (pick-wt=13): 3 [] -mem(A,bool)| -mem(B,bool)|p(A)|p(B)|A=B.
% 2.55/2.79  ** KEPT (pick-wt=13): 4 [] -mem(A,bool)| -mem(B,bool)| -p(A)| -p(B)|A=B.
% 2.55/2.79  ** KEPT (pick-wt=20): 5 [] -mem(A,arr(B,C))| -mem(D,arr(B,C))|mem($f1(B,C,A,D),B)|A=D.
% 2.55/2.79  ** KEPT (pick-wt=28): 6 [] -mem(A,arr(B,C))| -mem(D,arr(B,C))|ap(A,$f1(B,C,A,D))!=ap(D,$f1(B,C,A,D))|A=D.
% 2.55/2.79  ** KEPT (pick-wt=10): 7 [] -mem(A,B)|ap(k(B,C),A)=C.
% 2.55/2.79  ** KEPT (pick-wt=9): 8 [] -mem(A,B)|ap(i(B),A)=A.
% 2.55/2.79  ** KEPT (pick-wt=2): 9 [] -p(c_2Ebool_2EF).
% 2.55/2.79  ** KEPT (pick-wt=16): 10 [] -mem(A,bool)| -mem(B,bool)| -p(ap(ap(c_2Emin_2E_3D_3D_3E,A),B))| -p(A)|p(B).
% 2.55/2.79  ** KEPT (pick-wt=14): 11 [] -mem(A,bool)| -mem(B,bool)|p(ap(ap(c_2Emin_2E_3D_3D_3E,A),B))|p(A).
% 2.55/2.79  ** KEPT (pick-wt=14): 12 [] -mem(A,bool)| -mem(B,bool)|p(ap(ap(c_2Emin_2E_3D_3D_3E,A),B))| -p(B).
% 2.55/2.79  ** KEPT (pick-wt=16): 13 [] -mem(A,bool)| -mem(B,bool)| -p(ap(ap(c_2Ebool_2E_5C_2F,A),B))|p(A)|p(B).
% 2.55/2.79  ** KEPT (pick-wt=14): 14 [] -mem(A,bool)| -mem(B,bool)|p(ap(ap(c_2Ebool_2E_5C_2F,A),B))| -p(A).
% 2.55/2.79  ** KEPT (pick-wt=14): 15 [] -mem(A,bool)| -mem(B,bool)|p(ap(ap(c_2Ebool_2E_5C_2F,A),B))| -p(B).
% 2.55/2.79  ** KEPT (pick-wt=14): 16 [] -mem(A,bool)| -mem(B,bool)| -p(ap(ap(c_2Ebool_2E_2F_5C,A),B))|p(A).
% 2.55/2.79  ** KEPT (pick-wt=14): 17 [] -mem(A,bool)| -mem(B,bool)| -p(ap(ap(c_2Ebool_2E_2F_5C,A),B))|p(B).
% 2.55/2.79  ** KEPT (pick-wt=16): 18 [] -mem(A,bool)| -mem(B,bool)|p(ap(ap(c_2Ebool_2E_2F_5C,A),B))| -p(A)| -p(B).
% 2.55/2.79  ** KEPT (pick-wt=9): 19 [] -mem(A,bool)| -p(ap(c_2Ebool_2E_7E,A))| -p(A).
% 2.55/2.79  ** KEPT (pick-wt=9): 20 [] -mem(A,bool)|p(ap(c_2Ebool_2E_7E,A))|p(A).
% 2.55/2.79  ** KEPT (pick-wt=10): 21 [] -ne(A)|mem(c_2Emin_2E_3D(A),arr(A,arr(A,bool))).
% 2.55/2.79  ** KEPT (pick-wt=18): 22 [] -ne(A)| -mem(B,A)| -mem(C,A)| -p(ap(ap(c_2Emin_2E_3D(A),B),C))|B=C.
% 2.55/2.79  ** KEPT (pick-wt=18): 23 [] -ne(A)| -mem(B,A)| -mem(C,A)|p(ap(ap(c_2Emin_2E_3D(A),B),C))|B!=C.
% 2.55/2.79  ** KEPT (pick-wt=10): 24 [] -ne(A)|mem(c_2Ebool_2E_21(A),arr(arr(A,bool),bool)).
% 2.55/2.79  ** KEPT (pick-wt=19): 25 [] -ne(A)| -mem(B,arr(A,bool))| -p(ap(c_2Ebool_2E_21(A),B))| -mem(C,A)|p(ap(B,C)).
% 2.55/2.79  ** KEPT (pick-wt=17): 26 [] -ne(A)| -mem(B,arr(A,bool))|p(ap(c_2Ebool_2E_21(A),B))|mem($f2(A,B),A).
% 2.55/2.79  ** KEPT (pick-wt=18): 27 [] -ne(A)| -mem(B,arr(A,bool))|p(ap(c_2Ebool_2E_21(A),B))| -p(ap(B,$f2(A,B))).
% 2.55/2.79  ** KEPT (pick-wt=8): 28 [] -ne(A)|mem(c_2Epred__set_2EUNIV(A),arr(A,bool)).
% 2.55/2.79  ** KEPT (pick-wt=8): 29 [] -ne(A)| -ne(B)|ne(ty_2Epair_2Eprod(A,B)).
% 2.55/2.79  ** KEPT (pick-wt=21): 30 [] -ne(A)| -ne(B)|mem(c_2Epred__set_2ECROSS(A,B),arr(arr(A,bool),arr(arr(B,bool),arr(ty_2Epair_2Eprod(A,B),bool)))).
% 2.55/2.79  ** KEPT (pick-wt=21): 31 [] -ne(A)| -ne(B)|mem(c_2Epred__set_2EBIJ(A,B),arr(arr(A,B),arr(arr(A,bool),arr(arr(B,bool),bool)))).
% 2.55/2.79  ** KEPT (pick-wt=10): 32 [] -ne(A)|mem(c_2Ebool_2E_3F(A),arr(arr(A,bool),bool)).
% 2.55/2.79  ** KEPT (pick-wt=17): 33 [] -ne(A)| -mem(B,arr(A,bool))| -p(ap(c_2Ebool_2E_3F(A),B))|mem($f3(A,B),A).
% 2.55/2.79  ** KEPT (pick-wt=18): 34 [] -ne(A)| -mem(B,arr(A,bool))| -p(ap(c_2Ebool_2E_3F(A),B))|p(ap(B,$f3(A,B))).
% 2.55/2.79  ** KEPT (pick-wt=19): 35 [] -ne(A)| -mem(B,arr(A,bool))|p(ap(c_2Ebool_2E_3F(A),B))| -mem(C,A)| -p(ap(B,C)).
% 2.55/2.79  ** KEPT (pick-wt=14): 36 [] -ne(A)| -mem(B,A)| -mem(C,A)|B!=C|C=B.
% 2.55/2.79    Following clause subsumed by 36 during input processing: 0 [] -ne(A)| -mem(B,A)| -mem(C,A)|B=C|C!=B.
% 2.55/2.79  ** KEPT (pick-wt=19): 37 [] -ne(A)| -mem(B,arr(A,bool))|mem($f4(A,B),A)| -mem(C,A)| -p(ap(B,C)).
% 2.55/2.79  ** KEPT (pick-wt=20): 38 [] -ne(A)| -mem(B,arr(A,bool))|p(ap(B,$f4(A,B)))| -mem(C,A)| -p(ap(B,C)).
% 2.55/2.79  ** KEPT (pick-wt=19): 39 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,A)| -p(ap(B,C))|mem($f5(A,B),A).
% 2.55/2.79  ** KEPT (pick-wt=20): 40 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,A)| -p(ap(B,C))|p(ap(B,$f5(A,B))).
% 2.55/2.79  ** KEPT (pick-wt=25): 41 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,bool)|mem($f6(A,B,C),A)| -p(C)| -mem(D,A)|p(ap(B,D)).
% 2.55/2.79  ** KEPT (pick-wt=26): 42 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,bool)| -p(ap(B,$f6(A,B,C)))| -p(C)| -mem(D,A)|p(ap(B,D)).
% 2.55/2.79  ** KEPT (pick-wt=23): 43 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,bool)| -mem(D,A)|p(ap(B,D))|mem($f7(A,B,C),A).
% 2.55/2.79  ** KEPT (pick-wt=26): 44 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,bool)| -mem(D,A)|p(ap(B,D))| -p(ap(B,$f7(A,B,C)))| -p(C).
% 2.55/2.79  ** KEPT (pick-wt=18): 45 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,bool)|p(C)|mem($f7(A,B,C),A).
% 2.55/2.79  ** KEPT (pick-wt=25): 46 [] -ne(A)| -mem(B,bool)| -mem(C,arr(A,bool))| -p(B)|mem($f8(A,B,C),A)| -mem(D,A)|p(ap(C,D)).
% 2.55/2.79  ** KEPT (pick-wt=26): 47 [] -ne(A)| -mem(B,bool)| -mem(C,arr(A,bool))| -p(B)| -p(ap(C,$f8(A,B,C)))| -mem(D,A)|p(ap(C,D)).
% 2.55/2.79  ** KEPT (pick-wt=18): 48 [] -ne(A)| -mem(B,bool)| -mem(C,arr(A,bool))|p(B)|mem($f9(A,B,C),A).
% 2.55/2.82  ** KEPT (pick-wt=23): 49 [] -ne(A)| -mem(B,bool)| -mem(C,arr(A,bool))| -mem(D,A)|p(ap(C,D))|mem($f9(A,B,C),A).
% 2.55/2.82  ** KEPT (pick-wt=26): 50 [] -ne(A)| -mem(B,bool)| -mem(C,arr(A,bool))| -mem(D,A)|p(ap(C,D))| -p(B)| -p(ap(C,$f9(A,B,C))).
% 2.55/2.82  ** KEPT (pick-wt=23): 51 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,bool)| -mem(D,A)| -p(ap(B,D))|mem($f10(A,B,C),A).
% 2.55/2.82  ** KEPT (pick-wt=26): 52 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,bool)| -mem(D,A)| -p(ap(B,D))|p(ap(B,$f10(A,B,C)))|p(C).
% 2.55/2.82  ** KEPT (pick-wt=18): 53 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,bool)| -p(C)|mem($f10(A,B,C),A).
% 2.55/2.82  ** KEPT (pick-wt=25): 54 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,bool)|mem($f11(A,B,C),A)|p(C)| -mem(D,A)| -p(ap(B,D)).
% 2.55/2.82  ** KEPT (pick-wt=26): 55 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,bool)|p(ap(B,$f11(A,B,C)))|p(C)| -mem(D,A)| -p(ap(B,D)).
% 2.55/2.82  ** KEPT (pick-wt=18): 56 [] -ne(A)| -mem(B,bool)| -mem(C,arr(A,bool))| -p(B)|mem($f12(A,B,C),A).
% 2.55/2.82  ** KEPT (pick-wt=23): 57 [] -ne(A)| -mem(B,bool)| -mem(C,arr(A,bool))| -mem(D,A)| -p(ap(C,D))|mem($f12(A,B,C),A).
% 2.55/2.82  ** KEPT (pick-wt=26): 58 [] -ne(A)| -mem(B,bool)| -mem(C,arr(A,bool))| -mem(D,A)| -p(ap(C,D))|p(B)|p(ap(C,$f12(A,B,C))).
% 2.55/2.82  ** KEPT (pick-wt=25): 59 [] -ne(A)| -mem(B,bool)| -mem(C,arr(A,bool))|p(B)|mem($f13(A,B,C),A)| -mem(D,A)| -p(ap(C,D)).
% 2.55/2.82  ** KEPT (pick-wt=26): 60 [] -ne(A)| -mem(B,bool)| -mem(C,arr(A,bool))|p(B)|p(ap(C,$f13(A,B,C)))| -mem(D,A)| -p(ap(C,D)).
% 2.55/2.82  ** KEPT (pick-wt=25): 61 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,bool)| -mem(D,A)| -p(ap(B,D))| -p(C)|mem($f14(A,B,C),A).
% 2.55/2.82  ** KEPT (pick-wt=26): 62 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,bool)| -mem(D,A)| -p(ap(B,D))| -p(C)|p(ap(B,$f14(A,B,C))).
% 2.55/2.82  ** KEPT (pick-wt=25): 63 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,bool)|mem($f15(A,B,C),A)| -mem(D,A)| -p(ap(B,D))| -p(C).
% 2.55/2.82  ** KEPT (pick-wt=26): 64 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,bool)|p(ap(B,$f15(A,B,C)))| -mem(D,A)| -p(ap(B,D))| -p(C).
% 2.55/2.82  ** KEPT (pick-wt=25): 65 [] -ne(A)| -mem(B,bool)| -mem(C,arr(A,bool))| -mem(D,A)| -p(B)| -p(ap(C,D))|mem($f16(A,B,C),A).
% 2.55/2.82  ** KEPT (pick-wt=26): 66 [] -ne(A)| -mem(B,bool)| -mem(C,arr(A,bool))| -mem(D,A)| -p(B)| -p(ap(C,D))|p(ap(C,$f16(A,B,C))).
% 2.55/2.82  ** KEPT (pick-wt=25): 67 [] -ne(A)| -mem(B,bool)| -mem(C,arr(A,bool))|mem($f17(A,B,C),A)| -p(B)| -mem(D,A)| -p(ap(C,D)).
% 2.55/2.82  ** KEPT (pick-wt=26): 68 [] -ne(A)| -mem(B,bool)| -mem(C,arr(A,bool))|p(ap(C,$f17(A,B,C)))| -p(B)| -mem(D,A)| -p(ap(C,D)).
% 2.55/2.82  ** KEPT (pick-wt=25): 69 [] -ne(A)| -mem(B,bool)| -mem(C,arr(A,bool))|mem($f18(A,B,C),A)| -mem(D,A)|p(ap(C,D))|p(B).
% 2.55/2.82  ** KEPT (pick-wt=26): 70 [] -ne(A)| -mem(B,bool)| -mem(C,arr(A,bool))| -p(ap(C,$f18(A,B,C)))| -mem(D,A)|p(ap(C,D))|p(B).
% 2.55/2.82  ** KEPT (pick-wt=25): 71 [] -ne(A)| -mem(B,bool)| -mem(C,arr(A,bool))| -mem(D,A)|p(ap(C,D))|p(B)|mem($f19(A,B,C),A).
% 2.55/2.82  ** KEPT (pick-wt=26): 72 [] -ne(A)| -mem(B,bool)| -mem(C,arr(A,bool))| -mem(D,A)|p(ap(C,D))|p(B)| -p(ap(C,$f19(A,B,C))).
% 2.55/2.82  ** KEPT (pick-wt=25): 73 [] -ne(A)| -mem(B,bool)| -mem(C,arr(A,bool))|mem($f20(A,B,C),A)|p(B)| -mem(D,A)|p(ap(C,D)).
% 2.55/2.82  ** KEPT (pick-wt=26): 74 [] -ne(A)| -mem(B,bool)| -mem(C,arr(A,bool))| -p(ap(C,$f20(A,B,C)))|p(B)| -mem(D,A)|p(ap(C,D)).
% 2.55/2.82  ** KEPT (pick-wt=25): 75 [] -ne(A)| -mem(B,bool)| -mem(C,arr(A,bool))| -mem(D,A)|p(B)|p(ap(C,D))|mem($f21(A,B,C),A).
% 2.55/2.82  ** KEPT (pick-wt=26): 76 [] -ne(A)| -mem(B,bool)| -mem(C,arr(A,bool))| -mem(D,A)|p(B)|p(ap(C,D))| -p(ap(C,$f21(A,B,C))).
% 2.55/2.82  ** KEPT (pick-wt=25): 77 [] -ne(A)| -ne(B)| -mem(C,arr(A,arr(B,bool)))|mem($f22(A,B,C),A)|mem($f23(A,B,C),arr(A,B)).
% 2.55/2.82  ** KEPT (pick-wt=31): 78 [] -ne(A)| -ne(B)| -mem(C,arr(A,arr(B,bool)))|mem($f22(A,B,C),A)| -mem(D,A)|p(ap(ap(C,D),ap($f23(A,B,C),D))).
% 2.55/2.82  ** KEPT (pick-wt=31): 79 [] -ne(A)| -ne(B)| -mem(C,arr(A,arr(B,bool)))| -mem(D,B)| -p(ap(ap(C,$f22(A,B,C)),D))|mem($f23(A,B,C),arr(A,B)).
% 2.55/2.82  ** KEPT (pick-wt=37): 80 [] -ne(A)| -ne(B)| -mem(C,arr(A,arr(B,bool)))| -mem(D,B)| -p(ap(ap(C,$f22(A,B,C)),D))| -mem(E,A)|p(ap(ap(C,E),ap($f23(A,B,C),E))).
% 2.55/2.82  ** KEPT (pick-wt=33): 81 [] -ne(A)| -ne(B)| -mem(C,arr(A,arr(B,bool)))| -mem(D,A)|mem($f24(A,B,C,D),B)| -mem(E,arr(A,B))|mem($f25(A,B,C,E),A).
% 2.55/2.82  ** KEPT (pick-wt=42): 82 [] -ne(A)| -ne(B)| -mem(C,arr(A,arr(B,bool)))| -mem(D,A)|mem($f24(A,B,C,D),B)| -mem(E,arr(A,B))| -p(ap(ap(C,$f25(A,B,C,E)),ap(E,$f25(A,B,C,E)))).
% 2.84/3.04  ** KEPT (pick-wt=36): 83 [] -ne(A)| -ne(B)| -mem(C,arr(A,arr(B,bool)))| -mem(D,A)|p(ap(ap(C,D),$f24(A,B,C,D)))| -mem(E,arr(A,B))|mem($f25(A,B,C,E),A).
% 2.84/3.04  ** KEPT (pick-wt=45): 84 [] -ne(A)| -ne(B)| -mem(C,arr(A,arr(B,bool)))| -mem(D,A)|p(ap(ap(C,D),$f24(A,B,C,D)))| -mem(E,arr(A,B))| -p(ap(ap(C,$f25(A,B,C,E)),ap(E,$f25(A,B,C,E)))).
% 2.84/3.04  ** KEPT (pick-wt=38): 85 [] -ne(A)| -ne(B)| -mem(C,arr(A,bool))| -mem(D,arr(B,bool))| -mem(E,arr(A,B))| -p(ap(ap(ap(c_2Epred__set_2EBIJ(A,B),E),C),D))|mem($f26(A,B,C,D),arr(B,A)).
% 2.84/3.04  ** KEPT (pick-wt=43): 86 [] -ne(A)| -ne(B)| -mem(C,arr(A,bool))| -mem(D,arr(B,bool))| -mem(E,arr(A,B))| -p(ap(ap(ap(c_2Epred__set_2EBIJ(A,B),E),C),D))|p(ap(ap(ap(c_2Epred__set_2EBIJ(B,A),$f26(A,B,C,D)),D),C)).
% 2.84/3.04  ** KEPT (pick-wt=38): 87 [] -ne(A)| -ne(B)| -mem(C,arr(A,bool))| -mem(D,arr(B,bool))|mem($f27(A,B,C,D),arr(A,B))| -mem(E,arr(B,A))| -p(ap(ap(ap(c_2Epred__set_2EBIJ(B,A),E),D),C)).
% 2.84/3.04  ** KEPT (pick-wt=43): 88 [] -ne(A)| -ne(B)| -mem(C,arr(A,bool))| -mem(D,arr(B,bool))|p(ap(ap(ap(c_2Epred__set_2EBIJ(A,B),$f27(A,B,C,D)),C),D))| -mem(E,arr(B,A))| -p(ap(ap(ap(c_2Epred__set_2EBIJ(B,A),E),D),C)).
% 2.84/3.04  ** KEPT (pick-wt=28): 89 [] -mem(A,arr(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)))| -p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),A),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)))).
% 2.84/3.04  
% 2.84/3.04  ------------> process sos:
% 2.84/3.04  ** KEPT (pick-wt=3): 187 [] A=A.
% 2.84/3.04  ** KEPT (pick-wt=2): 188 [] ne(bool).
% 2.84/3.04  ** KEPT (pick-wt=2): 189 [] ne(ind).
% 2.84/3.04  ** KEPT (pick-wt=3): 190 [] mem(c_2Ebool_2ET,bool).
% 2.84/3.04  ** KEPT (pick-wt=2): 191 [] p(c_2Ebool_2ET).
% 2.84/3.04  ** KEPT (pick-wt=3): 192 [] mem(c_2Ebool_2EF,bool).
% 2.84/3.04  ** KEPT (pick-wt=7): 193 [] mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))).
% 2.84/3.04  ** KEPT (pick-wt=7): 194 [] mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool))).
% 2.84/3.04  ** KEPT (pick-wt=7): 195 [] mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))).
% 2.84/3.04  ** KEPT (pick-wt=5): 196 [] mem(c_2Ebool_2E_7E,arr(bool,bool)).
% 2.84/3.04  ** KEPT (pick-wt=2): 197 [] ne(ty_2Enum_2Enum).
% 2.84/3.04  ** KEPT (pick-wt=7): 198 [] mem($c1,arr(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum)).
% 2.84/3.04  ** KEPT (pick-wt=21): 199 [] p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum),$c1),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))).
% 2.84/3.04    Following clause subsumed by 187 during input processing: 0 [copy,187,flip.1] A=A.
% 2.84/3.04  187 back subsumes 101.
% 2.84/3.04  187 back subsumes 94.
% 2.84/3.04  187 back subsumes 93.
% 2.84/3.04  187 back subsumes 92.
% 2.84/3.04  187 back subsumes 91.
% 2.84/3.04  
% 2.84/3.04  ======= end of input processing =======
% 2.84/3.04  
% 2.84/3.04  =========== start of search ===========
% 2.84/3.04  
% 2.84/3.04  
% 2.84/3.04  Resetting weight limit to 4.
% 2.84/3.04  
% 2.84/3.04  
% 2.84/3.04  Resetting weight limit to 4.
% 2.84/3.04  
% 2.84/3.04  sos_size=77
% 2.84/3.04  
% 2.84/3.04  Search stopped because sos empty.
% 2.84/3.04  
% 2.84/3.04  
% 2.84/3.04  Search stopped because sos empty.
% 2.84/3.04  
% 2.84/3.04  ============ end of search ============
% 2.84/3.04  
% 2.84/3.04  -------------- statistics -------------
% 2.84/3.04  clauses given                 84
% 2.84/3.04  clauses generated           6352
% 2.84/3.04  clauses kept                 270
% 2.84/3.04  clauses forward subsumed     107
% 2.84/3.04  clauses back subsumed          5
% 2.84/3.04  Kbytes malloced             4882
% 2.84/3.04  
% 2.84/3.04  ----------- times (seconds) -----------
% 2.84/3.04  user CPU time          0.26          (0 hr, 0 min, 0 sec)
% 2.84/3.04  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 2.84/3.04  wall-clock time        3             (0 hr, 0 min, 3 sec)
% 2.84/3.04  
% 2.84/3.04  Process 27979 finished Wed Jul 27 02:40:48 2022
% 2.84/3.04  Otter interrupted
% 2.84/3.04  PROOF NOT FOUND
%------------------------------------------------------------------------------