TSTP Solution File: ITP013+2 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : ITP013+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n028.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 12:59:02 EDT 2022

% Result   : Unknown 17.07s 17.31s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ITP013+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.06/0.13  % Command  : otter-tptp-script %s
% 0.12/0.34  % Computer : n028.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 02:50:48 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 2.06/2.30  ----- Otter 3.3f, August 2004 -----
% 2.06/2.30  The process was started by sandbox on n028.cluster.edu,
% 2.06/2.30  Wed Jul 27 02:50:49 2022
% 2.06/2.30  The command was "./otter".  The process ID is 20034.
% 2.06/2.30  
% 2.06/2.30  set(prolog_style_variables).
% 2.06/2.30  set(auto).
% 2.06/2.30     dependent: set(auto1).
% 2.06/2.30     dependent: set(process_input).
% 2.06/2.30     dependent: clear(print_kept).
% 2.06/2.30     dependent: clear(print_new_demod).
% 2.06/2.30     dependent: clear(print_back_demod).
% 2.06/2.30     dependent: clear(print_back_sub).
% 2.06/2.30     dependent: set(control_memory).
% 2.06/2.30     dependent: assign(max_mem, 12000).
% 2.06/2.30     dependent: assign(pick_given_ratio, 4).
% 2.06/2.30     dependent: assign(stats_level, 1).
% 2.06/2.30     dependent: assign(max_seconds, 10800).
% 2.06/2.30  clear(print_given).
% 2.06/2.30  
% 2.06/2.30  formula_list(usable).
% 2.06/2.30  all A (A=A).
% 2.06/2.30  ne(bool).
% 2.06/2.30  ne(ind).
% 2.06/2.30  all A (ne(A)-> (all B (ne(B)->ne(arr(A,B))))).
% 2.06/2.30  all A B F (mem(F,arr(A,B))-> (all X (mem(X,A)->mem(ap(F,X),B)))).
% 2.06/2.30  all Q (mem(Q,bool)-> (all R (mem(R,bool)-> ((p(Q)<->p(R))->Q=R)))).
% 2.06/2.30  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)))).
% 2.06/2.30  all A Y X (mem(X,A)->ap(k(A,Y),X)=Y).
% 2.06/2.30  all A X (mem(X,A)->ap(i(A),X)=X).
% 2.06/2.30  mem(c_2Ebool_2E_7E,arr(bool,bool)).
% 2.06/2.30  all Q (mem(Q,bool)-> (p(ap(c_2Ebool_2E_7E,Q))<-> -p(Q))).
% 2.06/2.30  mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))).
% 2.06/2.30  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)))))).
% 2.06/2.30  mem(c_2Ebool_2EF,bool).
% 2.06/2.30  -p(c_2Ebool_2EF).
% 2.06/2.30  mem(c_2Ebool_2ET,bool).
% 2.06/2.30  p(c_2Ebool_2ET).
% 2.06/2.30  all A0 (ne(A0)-> (all A1 (ne(A1)->ne(ty_2Efcp_2Ecart(A0,A1))))).
% 2.06/2.30  all A_27a (ne(A_27a)->mem(c_2Ewords_2Eword__sub(A_27a),arr(ty_2Efcp_2Ecart(bool,A_27a),arr(ty_2Efcp_2Ecart(bool,A_27a),ty_2Efcp_2Ecart(bool,A_27a))))).
% 2.06/2.30  ne(ty_2Enum_2Enum).
% 2.06/2.30  mem(c_2Earithmetic_2E_2D,arr(ty_2Enum_2Enum,arr(ty_2Enum_2Enum,ty_2Enum_2Enum))).
% 2.06/2.30  mem(c_2Earithmetic_2E_3C_3D,arr(ty_2Enum_2Enum,arr(ty_2Enum_2Enum,bool))).
% 2.06/2.30  all A_27a (ne(A_27a)->mem(c_2Ebool_2ECOND(A_27a),arr(bool,arr(A_27a,arr(A_27a,A_27a))))).
% 2.06/2.30  mem(c_2Earithmetic_2E_2B,arr(ty_2Enum_2Enum,arr(ty_2Enum_2Enum,ty_2Enum_2Enum))).
% 2.06/2.30  all A_27a (ne(A_27a)->mem(c_2Ewords_2En2w(A_27a),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,A_27a)))).
% 2.06/2.30  all A_27a (ne(A_27a)->mem(c_2Ewords_2Eword__2comp(A_27a),arr(ty_2Efcp_2Ecart(bool,A_27a),ty_2Efcp_2Ecart(bool,A_27a)))).
% 2.06/2.30  all A_27a (ne(A_27a)->mem(c_2Ewords_2Eword__add(A_27a),arr(ty_2Efcp_2Ecart(bool,A_27a),arr(ty_2Efcp_2Ecart(bool,A_27a),ty_2Efcp_2Ecart(bool,A_27a))))).
% 2.06/2.30  all A_27a (ne(A_27a)->mem(c_2Emin_2E_3D(A_27a),arr(A_27a,arr(A_27a,bool)))).
% 2.06/2.30  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)))))).
% 2.06/2.30  all A_27a (ne(A_27a)->mem(c_2Ebool_2E_21(A_27a),arr(arr(A_27a,bool),bool))).
% 2.06/2.30  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)))))))).
% 2.06/2.30  mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))).
% 2.06/2.30  all Q (mem(Q,bool)-> (all R (mem(R,bool)-> (p(ap(ap(c_2Ebool_2E_2F_5C,Q),R))<->p(Q)&p(R))))).
% 2.06/2.30  $T.
% 2.06/2.30  all V0t (mem(V0t,bool)-> (p(V0t)<->p(V0t))& ((p(V0t)->$T)<->$T)& (($F->p(V0t))<->$T)& ((p(V0t)->p(V0t))<->$T)& (-p(V0t)<-> -p(V0t))).
% 2.06/2.30  all A_27a (ne(A_27a)-> (all V0x (mem(V0x,A_27a)-> (V0x=V0x<->$T)))).
% 2.06/2.30  all A_27a (ne(A_27a)-> (all V0x (mem(V0x,A_27a)-> (all V1y (mem(V1y,A_27a)-> (V0x=V1y<->V1y=V0x)))))).
% 2.06/2.30  all V0t (mem(V0t,bool)-> (($T<->p(V0t))<->p(V0t))& ((p(V0t)<->$T)<->p(V0t))& (($F<->p(V0t))<-> -p(V0t))& ((p(V0t)<->$F)<-> -p(V0t))).
% 2.06/2.30  all V0t1 (mem(V0t1,bool)-> (all V1t2 (mem(V1t2,bool)-> (all V2t3 (mem(V2t3,bool)-> ((p(V0t1)-> (p(V1t2)->p(V2t3)))<-> (p(V0t1)&p(V1t2)->p(V2t3)))))))).
% 2.06/2.30  all V0x (mem(V0x,bool)-> (all V1x_27 (mem(V1x_27,bool)-> (all V2y (mem(V2y,bool)-> (all V3y_27 (mem(V3y_27,bool)-> ((p(V0x)<->p(V1x_27))& (p(V1x_27)-> (p(V2y)<->p(V3y_27)))-> ((p(V0x)->p(V2y))<-> (p(V1x_27)->p(V3y_27))))))))))).
% 2.06/2.30  all A_27a (ne(A_27a)-> (all V0P (mem(V0P,bool)-> (all V1Q (mem(V1Q,bool)-> (all V2x (mem(V2x,A_27a)-> (all V3x_27 (mem(V3x_27,A_27a)-> (all V4y (mem(V4y,A_27a)-> (all V5y_27 (mem(V5y_27,A_27a)-> ((p(V0P)<->p(V1Q))& (p(V1Q)->V2x=V3x_27)& (-p(V1Q)->V4y=V5y_27)->ap(ap(ap(c_2Ebool_2ECOND(A_27a),V0P),V2x),V4y)=ap(ap(ap(c_2Ebool_2ECOND(A_27a),V1Q),V3x_27),V5y_27))))))))))))))).
% 2.06/2.30  all A_27a (ne(A_27a)-> (all V0t1 (mem(V0t1,A_27a)-> (all V1t2 (mem(V1t2,A_27a)->ap(ap(ap(c_2Ebool_2ECOND(A_27a),c_2Ebool_2ET),V0t1),V1t2)=V0t1))))& (all V2t1 (mem(V2t1,A_27a)-> (all V3t2 (mem(V3t2,A_27a)->ap(ap(ap(c_2Ebool_2ECOND(A_27a),c_2Ebool_2EF),V2t1),V3t2)=V3t2))))).
% 2.06/2.30  all A_27a (ne(A_27a)-> (all V0v (mem(V0v,ty_2Efcp_2Ecart(bool,A_27a))-> (all V1w (mem(V1w,ty_2Efcp_2Ecart(bool,A_27a))->ap(ap(c_2Ewords_2Eword__sub(A_27a),V0v),V1w)=ap(ap(c_2Ewords_2Eword__add(A_27a),V0v),ap(c_2Ewords_2Eword__2comp(A_27a),V1w))))))).
% 2.06/2.30  all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)-> (all V0m (mem(V0m,ty_2Enum_2Enum)-> (all V1n (mem(V1n,ty_2Enum_2Enum)->ap(ap(c_2Ewords_2Eword__add(A_27a),ap(c_2Ewords_2Eword__2comp(A_27a),ap(c_2Ewords_2En2w(A_27a),V0m))),ap(c_2Ewords_2Eword__2comp(A_27a),ap(c_2Ewords_2En2w(A_27a),V1n)))=ap(c_2Ewords_2Eword__2comp(A_27a),ap(c_2Ewords_2En2w(A_27a),ap(ap(c_2Earithmetic_2E_2B,V0m),V1n)))))))& (all V2m (mem(V2m,ty_2Enum_2Enum)-> (all V3n (mem(V3n,ty_2Enum_2Enum)->ap(ap(c_2Ewords_2Eword__add(A_27b),ap(c_2Ewords_2En2w(A_27b),V2m)),ap(c_2Ewords_2Eword__2comp(A_27b),ap(c_2Ewords_2En2w(A_27b),V3n)))=ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,A_27b)),ap(ap(c_2Earithmetic_2E_3C_3D,V3n),V2m)),ap(c_2Ewords_2En2w(A_27b),ap(ap(c_2Earithmetic_2E_2D,V2m),V3n))),ap(c_2Ewords_2Eword__2comp(A_27b),ap(c_2Ewords_2En2w(A_27b),ap(ap(c_2Earithmetic_2E_2D,V3n),V2m))))))))))).
% 2.06/2.30  -(all A_27a (ne(A_27a)-> (all V0a (mem(V0a,ty_2Enum_2Enum)-> (all V1b (mem(V1b,ty_2Enum_2Enum)-> (p(ap(ap(c_2Earithmetic_2E_3C_3D,V1b),V0a))->ap(c_2Ewords_2En2w(A_27a),ap(ap(c_2Earithmetic_2E_2D,V0a),V1b))=ap(ap(c_2Ewords_2Eword__sub(A_27a),ap(c_2Ewords_2En2w(A_27a),V0a)),ap(c_2Ewords_2En2w(A_27a),V1b))))))))).
% 2.06/2.30  end_of_list.
% 2.06/2.30  
% 2.06/2.30  -------> usable clausifies to:
% 2.06/2.30  
% 2.06/2.30  list(usable).
% 2.06/2.30  0 [] A=A.
% 2.06/2.30  0 [] ne(bool).
% 2.06/2.30  0 [] ne(ind).
% 2.06/2.30  0 [] -ne(A)| -ne(B)|ne(arr(A,B)).
% 2.06/2.30  0 [] -mem(F,arr(A,B))| -mem(X,A)|mem(ap(F,X),B).
% 2.06/2.30  0 [] -mem(Q,bool)| -mem(R,bool)|p(Q)|p(R)|Q=R.
% 2.06/2.30  0 [] -mem(Q,bool)| -mem(R,bool)| -p(Q)| -p(R)|Q=R.
% 2.06/2.30  0 [] -mem(F,arr(A,B))| -mem(G,arr(A,B))|mem($f1(A,B,F,G),A)|F=G.
% 2.06/2.30  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.
% 2.06/2.30  0 [] -mem(X,A)|ap(k(A,Y),X)=Y.
% 2.06/2.30  0 [] -mem(X,A)|ap(i(A),X)=X.
% 2.06/2.30  0 [] mem(c_2Ebool_2E_7E,arr(bool,bool)).
% 2.06/2.30  0 [] -mem(Q,bool)| -p(ap(c_2Ebool_2E_7E,Q))| -p(Q).
% 2.06/2.30  0 [] -mem(Q,bool)|p(ap(c_2Ebool_2E_7E,Q))|p(Q).
% 2.06/2.30  0 [] mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))).
% 2.06/2.30  0 [] -mem(Q,bool)| -mem(R,bool)| -p(ap(ap(c_2Emin_2E_3D_3D_3E,Q),R))| -p(Q)|p(R).
% 2.06/2.30  0 [] -mem(Q,bool)| -mem(R,bool)|p(ap(ap(c_2Emin_2E_3D_3D_3E,Q),R))|p(Q).
% 2.06/2.30  0 [] -mem(Q,bool)| -mem(R,bool)|p(ap(ap(c_2Emin_2E_3D_3D_3E,Q),R))| -p(R).
% 2.06/2.30  0 [] mem(c_2Ebool_2EF,bool).
% 2.06/2.30  0 [] -p(c_2Ebool_2EF).
% 2.06/2.30  0 [] mem(c_2Ebool_2ET,bool).
% 2.06/2.30  0 [] p(c_2Ebool_2ET).
% 2.06/2.30  0 [] -ne(A0)| -ne(A1)|ne(ty_2Efcp_2Ecart(A0,A1)).
% 2.06/2.30  0 [] -ne(A_27a)|mem(c_2Ewords_2Eword__sub(A_27a),arr(ty_2Efcp_2Ecart(bool,A_27a),arr(ty_2Efcp_2Ecart(bool,A_27a),ty_2Efcp_2Ecart(bool,A_27a)))).
% 2.06/2.30  0 [] ne(ty_2Enum_2Enum).
% 2.06/2.30  0 [] mem(c_2Earithmetic_2E_2D,arr(ty_2Enum_2Enum,arr(ty_2Enum_2Enum,ty_2Enum_2Enum))).
% 2.06/2.30  0 [] mem(c_2Earithmetic_2E_3C_3D,arr(ty_2Enum_2Enum,arr(ty_2Enum_2Enum,bool))).
% 2.06/2.30  0 [] -ne(A_27a)|mem(c_2Ebool_2ECOND(A_27a),arr(bool,arr(A_27a,arr(A_27a,A_27a)))).
% 2.06/2.30  0 [] mem(c_2Earithmetic_2E_2B,arr(ty_2Enum_2Enum,arr(ty_2Enum_2Enum,ty_2Enum_2Enum))).
% 2.06/2.30  0 [] -ne(A_27a)|mem(c_2Ewords_2En2w(A_27a),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,A_27a))).
% 2.06/2.30  0 [] -ne(A_27a)|mem(c_2Ewords_2Eword__2comp(A_27a),arr(ty_2Efcp_2Ecart(bool,A_27a),ty_2Efcp_2Ecart(bool,A_27a))).
% 2.06/2.30  0 [] -ne(A_27a)|mem(c_2Ewords_2Eword__add(A_27a),arr(ty_2Efcp_2Ecart(bool,A_27a),arr(ty_2Efcp_2Ecart(bool,A_27a),ty_2Efcp_2Ecart(bool,A_27a)))).
% 2.06/2.30  0 [] -ne(A_27a)|mem(c_2Emin_2E_3D(A_27a),arr(A_27a,arr(A_27a,bool))).
% 2.06/2.30  0 [] -ne(A)| -mem(X,A)| -mem(Y,A)| -p(ap(ap(c_2Emin_2E_3D(A),X),Y))|X=Y.
% 2.06/2.30  0 [] -ne(A)| -mem(X,A)| -mem(Y,A)|p(ap(ap(c_2Emin_2E_3D(A),X),Y))|X!=Y.
% 2.06/2.30  0 [] -ne(A_27a)|mem(c_2Ebool_2E_21(A_27a),arr(arr(A_27a,bool),bool)).
% 2.06/2.30  0 [] -ne(A)| -mem(Q,arr(A,bool))| -p(ap(c_2Ebool_2E_21(A),Q))| -mem(X,A)|p(ap(Q,X)).
% 2.06/2.30  0 [] -ne(A)| -mem(Q,arr(A,bool))|p(ap(c_2Ebool_2E_21(A),Q))|mem($f2(A,Q),A).
% 2.06/2.30  0 [] -ne(A)| -mem(Q,arr(A,bool))|p(ap(c_2Ebool_2E_21(A),Q))| -p(ap(Q,$f2(A,Q))).
% 2.06/2.30  0 [] mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))).
% 2.06/2.31  0 [] -mem(Q,bool)| -mem(R,bool)| -p(ap(ap(c_2Ebool_2E_2F_5C,Q),R))|p(Q).
% 2.06/2.31  0 [] -mem(Q,bool)| -mem(R,bool)| -p(ap(ap(c_2Ebool_2E_2F_5C,Q),R))|p(R).
% 2.06/2.31  0 [] -mem(Q,bool)| -mem(R,bool)|p(ap(ap(c_2Ebool_2E_2F_5C,Q),R))| -p(Q)| -p(R).
% 2.06/2.31  0 [] $T.
% 2.06/2.31  0 [] -mem(V0t,bool)| -$F|p(V0t)| -$T.
% 2.06/2.31  0 [] -mem(V0t,bool)|$T.
% 2.06/2.31  0 [] -ne(A_27a)| -mem(V0x,A_27a)|V0x!=V0x|$T.
% 2.06/2.31  0 [] -ne(A_27a)| -mem(V0x,A_27a)|V0x=V0x| -$T.
% 2.06/2.31  0 [] -ne(A_27a)| -mem(V0x,A_27a)| -mem(V1y,A_27a)|V0x!=V1y|V1y=V0x.
% 2.06/2.31  0 [] -ne(A_27a)| -mem(V0x,A_27a)| -mem(V1y,A_27a)|V0x=V1y|V1y!=V0x.
% 2.06/2.31  0 [] -mem(V0t,bool)|$T|p(V0t).
% 2.06/2.31  0 [] -mem(V0t,bool)|$T| -p(V0t).
% 2.06/2.31  0 [] -mem(V0t,bool)| -$F| -p(V0t).
% 2.06/2.31  0 [] -mem(V0t,bool)| -$F|p(V0t).
% 2.06/2.31  0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1Q,bool)| -mem(V2x,A_27a)| -mem(V3x_27,A_27a)| -mem(V4y,A_27a)| -mem(V5y_27,A_27a)|p(V0P)|p(V1Q)|V4y!=V5y_27|ap(ap(ap(c_2Ebool_2ECOND(A_27a),V0P),V2x),V4y)=ap(ap(ap(c_2Ebool_2ECOND(A_27a),V1Q),V3x_27),V5y_27).
% 2.06/2.31  0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1Q,bool)| -mem(V2x,A_27a)| -mem(V3x_27,A_27a)| -mem(V4y,A_27a)| -mem(V5y_27,A_27a)| -p(V0P)| -p(V1Q)|V2x!=V3x_27|ap(ap(ap(c_2Ebool_2ECOND(A_27a),V0P),V2x),V4y)=ap(ap(ap(c_2Ebool_2ECOND(A_27a),V1Q),V3x_27),V5y_27).
% 2.06/2.31  0 [] -ne(A_27a)| -mem(V0t1,A_27a)| -mem(V1t2,A_27a)|ap(ap(ap(c_2Ebool_2ECOND(A_27a),c_2Ebool_2ET),V0t1),V1t2)=V0t1.
% 2.06/2.31  0 [] -ne(A_27a)| -mem(V2t1,A_27a)| -mem(V3t2,A_27a)|ap(ap(ap(c_2Ebool_2ECOND(A_27a),c_2Ebool_2EF),V2t1),V3t2)=V3t2.
% 2.06/2.31  0 [] -ne(A_27a)| -mem(V0v,ty_2Efcp_2Ecart(bool,A_27a))| -mem(V1w,ty_2Efcp_2Ecart(bool,A_27a))|ap(ap(c_2Ewords_2Eword__sub(A_27a),V0v),V1w)=ap(ap(c_2Ewords_2Eword__add(A_27a),V0v),ap(c_2Ewords_2Eword__2comp(A_27a),V1w)).
% 2.06/2.31  0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0m,ty_2Enum_2Enum)| -mem(V1n,ty_2Enum_2Enum)|ap(ap(c_2Ewords_2Eword__add(A_27a),ap(c_2Ewords_2Eword__2comp(A_27a),ap(c_2Ewords_2En2w(A_27a),V0m))),ap(c_2Ewords_2Eword__2comp(A_27a),ap(c_2Ewords_2En2w(A_27a),V1n)))=ap(c_2Ewords_2Eword__2comp(A_27a),ap(c_2Ewords_2En2w(A_27a),ap(ap(c_2Earithmetic_2E_2B,V0m),V1n))).
% 2.06/2.31  0 [] -ne(A_27a)| -ne(A_27b)| -mem(V2m,ty_2Enum_2Enum)| -mem(V3n,ty_2Enum_2Enum)|ap(ap(c_2Ewords_2Eword__add(A_27b),ap(c_2Ewords_2En2w(A_27b),V2m)),ap(c_2Ewords_2Eword__2comp(A_27b),ap(c_2Ewords_2En2w(A_27b),V3n)))=ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,A_27b)),ap(ap(c_2Earithmetic_2E_3C_3D,V3n),V2m)),ap(c_2Ewords_2En2w(A_27b),ap(ap(c_2Earithmetic_2E_2D,V2m),V3n))),ap(c_2Ewords_2Eword__2comp(A_27b),ap(c_2Ewords_2En2w(A_27b),ap(ap(c_2Earithmetic_2E_2D,V3n),V2m)))).
% 2.06/2.31  0 [] ne($c3).
% 2.06/2.31  0 [] mem($c2,ty_2Enum_2Enum).
% 2.06/2.31  0 [] mem($c1,ty_2Enum_2Enum).
% 2.06/2.31  0 [] p(ap(ap(c_2Earithmetic_2E_3C_3D,$c1),$c2)).
% 2.06/2.31  0 [] ap(c_2Ewords_2En2w($c3),ap(ap(c_2Earithmetic_2E_2D,$c2),$c1))!=ap(ap(c_2Ewords_2Eword__sub($c3),ap(c_2Ewords_2En2w($c3),$c2)),ap(c_2Ewords_2En2w($c3),$c1)).
% 2.06/2.31  end_of_list.
% 2.06/2.31  
% 2.06/2.31  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=11.
% 2.06/2.31  
% 2.06/2.31  This ia a non-Horn set with equality.  The strategy will be
% 2.06/2.31  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.06/2.31  deletion, with positive clauses in sos and nonpositive
% 2.06/2.31  clauses in usable.
% 2.06/2.31  
% 2.06/2.31     dependent: set(knuth_bendix).
% 2.06/2.31     dependent: set(anl_eq).
% 2.06/2.31     dependent: set(para_from).
% 2.06/2.31     dependent: set(para_into).
% 2.06/2.31     dependent: clear(para_from_right).
% 2.06/2.31     dependent: clear(para_into_right).
% 2.06/2.31     dependent: set(para_from_vars).
% 2.06/2.31     dependent: set(eq_units_both_ways).
% 2.06/2.31     dependent: set(dynamic_demod_all).
% 2.06/2.31     dependent: set(dynamic_demod).
% 2.06/2.31     dependent: set(order_eq).
% 2.06/2.31     dependent: set(back_demod).
% 2.06/2.31     dependent: set(lrpo).
% 2.06/2.31     dependent: set(hyper_res).
% 2.06/2.31     dependent: set(unit_deletion).
% 2.06/2.31     dependent: set(factor).
% 2.06/2.31  
% 2.06/2.31  ------------> process usable:
% 2.06/2.31  ** KEPT (pick-wt=8): 1 [] -ne(A)| -ne(B)|ne(arr(A,B)).
% 2.06/2.31  ** KEPT (pick-wt=13): 2 [] -mem(A,arr(B,C))| -mem(D,B)|mem(ap(A,D),C).
% 2.06/2.31  ** KEPT (pick-wt=13): 3 [] -mem(A,bool)| -mem(B,bool)|p(A)|p(B)|A=B.
% 2.06/2.31  ** KEPT (pick-wt=13): 4 [] -mem(A,bool)| -mem(B,bool)| -p(A)| -p(B)|A=B.
% 2.06/2.31  ** KEPT (pick-wt=20): 5 [] -mem(A,arr(B,C))| -mem(D,arr(B,C))|mem($f1(B,C,A,D),B)|A=D.
% 2.06/2.31  ** 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.
% 2.06/2.31  ** KEPT (pick-wt=10): 7 [] -mem(A,B)|ap(k(B,C),A)=C.
% 2.06/2.31  ** KEPT (pick-wt=9): 8 [] -mem(A,B)|ap(i(B),A)=A.
% 4.53/4.78  ** KEPT (pick-wt=9): 9 [] -mem(A,bool)| -p(ap(c_2Ebool_2E_7E,A))| -p(A).
% 4.53/4.78  ** KEPT (pick-wt=9): 10 [] -mem(A,bool)|p(ap(c_2Ebool_2E_7E,A))|p(A).
% 4.53/4.78  ** KEPT (pick-wt=16): 11 [] -mem(A,bool)| -mem(B,bool)| -p(ap(ap(c_2Emin_2E_3D_3D_3E,A),B))| -p(A)|p(B).
% 4.53/4.78  ** KEPT (pick-wt=14): 12 [] -mem(A,bool)| -mem(B,bool)|p(ap(ap(c_2Emin_2E_3D_3D_3E,A),B))|p(A).
% 4.53/4.78  ** KEPT (pick-wt=14): 13 [] -mem(A,bool)| -mem(B,bool)|p(ap(ap(c_2Emin_2E_3D_3D_3E,A),B))| -p(B).
% 4.53/4.78  ** KEPT (pick-wt=2): 14 [] -p(c_2Ebool_2EF).
% 4.53/4.78  ** KEPT (pick-wt=8): 15 [] -ne(A)| -ne(B)|ne(ty_2Efcp_2Ecart(A,B)).
% 4.53/4.78  ** KEPT (pick-wt=16): 16 [] -ne(A)|mem(c_2Ewords_2Eword__sub(A),arr(ty_2Efcp_2Ecart(bool,A),arr(ty_2Efcp_2Ecart(bool,A),ty_2Efcp_2Ecart(bool,A)))).
% 4.53/4.78  ** KEPT (pick-wt=12): 17 [] -ne(A)|mem(c_2Ebool_2ECOND(A),arr(bool,arr(A,arr(A,A)))).
% 4.53/4.78  ** KEPT (pick-wt=10): 18 [] -ne(A)|mem(c_2Ewords_2En2w(A),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,A))).
% 4.53/4.78  ** KEPT (pick-wt=12): 19 [] -ne(A)|mem(c_2Ewords_2Eword__2comp(A),arr(ty_2Efcp_2Ecart(bool,A),ty_2Efcp_2Ecart(bool,A))).
% 4.53/4.78  ** KEPT (pick-wt=16): 20 [] -ne(A)|mem(c_2Ewords_2Eword__add(A),arr(ty_2Efcp_2Ecart(bool,A),arr(ty_2Efcp_2Ecart(bool,A),ty_2Efcp_2Ecart(bool,A)))).
% 4.53/4.78  ** KEPT (pick-wt=10): 21 [] -ne(A)|mem(c_2Emin_2E_3D(A),arr(A,arr(A,bool))).
% 4.53/4.78  ** 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.
% 4.53/4.78  ** 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.
% 4.53/4.78  ** KEPT (pick-wt=10): 24 [] -ne(A)|mem(c_2Ebool_2E_21(A),arr(arr(A,bool),bool)).
% 4.53/4.78  ** 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)).
% 4.53/4.78  ** KEPT (pick-wt=17): 26 [] -ne(A)| -mem(B,arr(A,bool))|p(ap(c_2Ebool_2E_21(A),B))|mem($f2(A,B),A).
% 4.53/4.78  ** KEPT (pick-wt=18): 27 [] -ne(A)| -mem(B,arr(A,bool))|p(ap(c_2Ebool_2E_21(A),B))| -p(ap(B,$f2(A,B))).
% 4.53/4.78  ** KEPT (pick-wt=14): 28 [] -mem(A,bool)| -mem(B,bool)| -p(ap(ap(c_2Ebool_2E_2F_5C,A),B))|p(A).
% 4.53/4.78  ** KEPT (pick-wt=14): 29 [] -mem(A,bool)| -mem(B,bool)| -p(ap(ap(c_2Ebool_2E_2F_5C,A),B))|p(B).
% 4.53/4.78  ** KEPT (pick-wt=16): 30 [] -mem(A,bool)| -mem(B,bool)|p(ap(ap(c_2Ebool_2E_2F_5C,A),B))| -p(A)| -p(B).
% 4.53/4.78  ** KEPT (pick-wt=8): 32 [copy,31,propositional] -ne(A)| -mem(B,A)|B=B.
% 4.53/4.78  ** KEPT (pick-wt=14): 33 [] -ne(A)| -mem(B,A)| -mem(C,A)|B!=C|C=B.
% 4.53/4.78    Following clause subsumed by 33 during input processing: 0 [] -ne(A)| -mem(B,A)| -mem(C,A)|B=C|C!=B.
% 4.53/4.78  ** KEPT (pick-wt=44): 34 [] -ne(A)| -mem(B,bool)| -mem(C,bool)| -mem(D,A)| -mem(E,A)| -mem(F,A)| -mem(G,A)|p(B)|p(C)|F!=G|ap(ap(ap(c_2Ebool_2ECOND(A),B),D),F)=ap(ap(ap(c_2Ebool_2ECOND(A),C),E),G).
% 4.53/4.78  ** KEPT (pick-wt=44): 35 [] -ne(A)| -mem(B,bool)| -mem(C,bool)| -mem(D,A)| -mem(E,A)| -mem(F,A)| -mem(G,A)| -p(B)| -p(C)|D!=E|ap(ap(ap(c_2Ebool_2ECOND(A),B),D),F)=ap(ap(ap(c_2Ebool_2ECOND(A),C),E),G).
% 4.53/4.78  ** KEPT (pick-wt=18): 36 [] -ne(A)| -mem(B,A)| -mem(C,A)|ap(ap(ap(c_2Ebool_2ECOND(A),c_2Ebool_2ET),B),C)=B.
% 4.53/4.78  ** KEPT (pick-wt=18): 37 [] -ne(A)| -mem(B,A)| -mem(C,A)|ap(ap(ap(c_2Ebool_2ECOND(A),c_2Ebool_2EF),B),C)=C.
% 4.53/4.78  ** KEPT (pick-wt=28): 38 [] -ne(A)| -mem(B,ty_2Efcp_2Ecart(bool,A))| -mem(C,ty_2Efcp_2Ecart(bool,A))|ap(ap(c_2Ewords_2Eword__sub(A),B),C)=ap(ap(c_2Ewords_2Eword__add(A),B),ap(c_2Ewords_2Eword__2comp(A),C)).
% 4.53/4.78  ** KEPT (pick-wt=38): 40 [copy,39,factor_simp] -ne(A)| -mem(B,ty_2Enum_2Enum)| -mem(C,ty_2Enum_2Enum)|ap(ap(c_2Ewords_2Eword__add(A),ap(c_2Ewords_2Eword__2comp(A),ap(c_2Ewords_2En2w(A),B))),ap(c_2Ewords_2Eword__2comp(A),ap(c_2Ewords_2En2w(A),C)))=ap(c_2Ewords_2Eword__2comp(A),ap(c_2Ewords_2En2w(A),ap(ap(c_2Earithmetic_2E_2B,B),C))).
% 4.53/4.78  ** KEPT (pick-wt=55): 42 [copy,41,factor_simp] -ne(A)| -mem(B,ty_2Enum_2Enum)| -mem(C,ty_2Enum_2Enum)|ap(ap(c_2Ewords_2Eword__add(A),ap(c_2Ewords_2En2w(A),B)),ap(c_2Ewords_2Eword__2comp(A),ap(c_2Ewords_2En2w(A),C)))=ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,A)),ap(ap(c_2Earithmetic_2E_3C_3D,C),B)),ap(c_2Ewords_2En2w(A),ap(ap(c_2Earithmetic_2E_2D,B),C))),ap(c_2Ewords_2Eword__2comp(A),ap(c_2Ewords_2En2w(A),ap(ap(c_2Earithmetic_2E_2D,C),B)))).
% 4.53/4.78  ** KEPT (pick-wt=21): 44 [copy,43,flip.1] ap(ap(c_2Ewords_2Eword__sub($c3),ap(c_2Ewords_2En2w($c3),$c2)),ap(c_2Ewords_2En2w($c3),$c1))!=ap(c_2Ewords_2En2w($c3),ap(ap(c_2Earithmetic_2E_2D,$c2),$c1)).
% 17.07/17.31  
% 17.07/17.31  ------------> process sos:
% 17.07/17.31  ** KEPT (pick-wt=3): 465 [] A=A.
% 17.07/17.31  ** KEPT (pick-wt=2): 466 [] ne(bool).
% 17.07/17.31  ** KEPT (pick-wt=2): 467 [] ne(ind).
% 17.07/17.31  ** KEPT (pick-wt=5): 468 [] mem(c_2Ebool_2E_7E,arr(bool,bool)).
% 17.07/17.31  ** KEPT (pick-wt=7): 469 [] mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))).
% 17.07/17.31  ** KEPT (pick-wt=3): 470 [] mem(c_2Ebool_2EF,bool).
% 17.07/17.31  ** KEPT (pick-wt=3): 471 [] mem(c_2Ebool_2ET,bool).
% 17.07/17.31  ** KEPT (pick-wt=2): 472 [] p(c_2Ebool_2ET).
% 17.07/17.31  ** KEPT (pick-wt=2): 473 [] ne(ty_2Enum_2Enum).
% 17.07/17.31  ** KEPT (pick-wt=7): 474 [] mem(c_2Earithmetic_2E_2D,arr(ty_2Enum_2Enum,arr(ty_2Enum_2Enum,ty_2Enum_2Enum))).
% 17.07/17.31  ** KEPT (pick-wt=7): 475 [] mem(c_2Earithmetic_2E_3C_3D,arr(ty_2Enum_2Enum,arr(ty_2Enum_2Enum,bool))).
% 17.07/17.31  ** KEPT (pick-wt=7): 476 [] mem(c_2Earithmetic_2E_2B,arr(ty_2Enum_2Enum,arr(ty_2Enum_2Enum,ty_2Enum_2Enum))).
% 17.07/17.31  ** KEPT (pick-wt=7): 477 [] mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))).
% 17.07/17.31  ** KEPT (pick-wt=2): 478 [] ne($c3).
% 17.07/17.31  ** KEPT (pick-wt=3): 479 [] mem($c2,ty_2Enum_2Enum).
% 17.07/17.31  ** KEPT (pick-wt=3): 480 [] mem($c1,ty_2Enum_2Enum).
% 17.07/17.31  ** KEPT (pick-wt=6): 481 [] p(ap(ap(c_2Earithmetic_2E_3C_3D,$c1),$c2)).
% 17.07/17.31    Following clause subsumed by 465 during input processing: 0 [copy,465,flip.1] A=A.
% 17.07/17.31  465 back subsumes 464.
% 17.07/17.31  465 back subsumes 463.
% 17.07/17.31  465 back subsumes 446.
% 17.07/17.31  465 back subsumes 443.
% 17.07/17.31  465 back subsumes 434.
% 17.07/17.31  465 back subsumes 415.
% 17.07/17.31  465 back subsumes 412.
% 17.07/17.31  465 back subsumes 403.
% 17.07/17.31  465 back subsumes 331.
% 17.07/17.31  465 back subsumes 241.
% 17.07/17.31  465 back subsumes 49.
% 17.07/17.31  465 back subsumes 48.
% 17.07/17.31  465 back subsumes 47.
% 17.07/17.31  465 back subsumes 46.
% 17.07/17.31  465 back subsumes 32.
% 17.07/17.31  
% 17.07/17.31  ======= end of input processing =======
% 17.07/17.31  
% 17.07/17.31  =========== start of search ===========
% 17.07/17.31  
% 17.07/17.31  
% 17.07/17.31  Resetting weight limit to 4.
% 17.07/17.31  
% 17.07/17.31  
% 17.07/17.31  Resetting weight limit to 4.
% 17.07/17.31  
% 17.07/17.31  sos_size=377
% 17.07/17.31  
% 17.07/17.31  Search stopped because sos empty.
% 17.07/17.31  
% 17.07/17.31  
% 17.07/17.31  Search stopped because sos empty.
% 17.07/17.31  
% 17.07/17.31  ============ end of search ============
% 17.07/17.31  
% 17.07/17.31  -------------- statistics -------------
% 17.07/17.31  clauses given                392
% 17.07/17.31  clauses generated          88039
% 17.07/17.31  clauses kept                 856
% 17.07/17.31  clauses forward subsumed    8090
% 17.07/17.31  clauses back subsumed         15
% 17.07/17.31  Kbytes malloced             5859
% 17.07/17.31  
% 17.07/17.31  ----------- times (seconds) -----------
% 17.07/17.31  user CPU time         15.01          (0 hr, 0 min, 15 sec)
% 17.07/17.31  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 17.07/17.31  wall-clock time       16             (0 hr, 0 min, 16 sec)
% 17.07/17.31  
% 17.07/17.31  Process 20034 finished Wed Jul 27 02:51:05 2022
% 17.07/17.31  Otter interrupted
% 17.07/17.31  PROOF NOT FOUND
%------------------------------------------------------------------------------