TSTP Solution File: ITP001+5 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : ITP001+5 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 12:58:51 EDT 2022
% Result : Theorem 2.25s 2.45s
% Output : Refutation 2.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 1
% Syntax : Number of clauses : 2 ( 2 unt; 0 nHn; 2 RR)
% Number of literals : 2 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 2 ( 1 usr; 2 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(117,axiom,
~ dollar_T,
file('ITP001+5.p',unknown),
[] ).
cnf(118,plain,
$false,
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[117])]),
[iquote('copy,117,propositional')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP001+5 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n019.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 02:52:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.25/2.44 ----- Otter 3.3f, August 2004 -----
% 2.25/2.44 The process was started by sandbox2 on n019.cluster.edu,
% 2.25/2.44 Wed Jul 27 02:52:07 2022
% 2.25/2.44 The command was "./otter". The process ID is 22751.
% 2.25/2.44
% 2.25/2.44 set(prolog_style_variables).
% 2.25/2.44 set(auto).
% 2.25/2.44 dependent: set(auto1).
% 2.25/2.44 dependent: set(process_input).
% 2.25/2.44 dependent: clear(print_kept).
% 2.25/2.44 dependent: clear(print_new_demod).
% 2.25/2.44 dependent: clear(print_back_demod).
% 2.25/2.44 dependent: clear(print_back_sub).
% 2.25/2.44 dependent: set(control_memory).
% 2.25/2.44 dependent: assign(max_mem, 12000).
% 2.25/2.44 dependent: assign(pick_given_ratio, 4).
% 2.25/2.44 dependent: assign(stats_level, 1).
% 2.25/2.44 dependent: assign(max_seconds, 10800).
% 2.25/2.44 clear(print_given).
% 2.25/2.44
% 2.25/2.44 formula_list(usable).
% 2.25/2.44 all A (A=A).
% 2.25/2.44 ne(bool).
% 2.25/2.44 ne(ind).
% 2.25/2.44 all A (ne(A)-> (all B (ne(B)->ne(arr(A,B))))).
% 2.25/2.44 all A B F (mem(F,arr(A,B))-> (all X (mem(X,A)->mem(ap(F,X),B)))).
% 2.25/2.44 all Q (mem(Q,bool)-> (all R (mem(R,bool)-> ((p(Q)<->p(R))->Q=R)))).
% 2.25/2.44 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)))).
% 2.25/2.44 all A Y X (mem(X,A)->ap(k(A,Y),X)=Y).
% 2.25/2.44 all A X (mem(X,A)->ap(i(A),X)=X).
% 2.25/2.44 all A_27a (ne(A_27a)->mem(c_2Emin_2E_3D(A_27a),arr(A_27a,arr(A_27a,bool)))).
% 2.25/2.44 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)))))).
% 2.25/2.44 mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))).
% 2.25/2.44 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)))))).
% 2.25/2.44 all A_27a (ne(A_27a)->mem(c_2Emin_2E_40(A_27a),arr(arr(A_27a,bool),A_27a))).
% 2.25/2.44 all A0 (ne(A0)->ne(ty_2Ebool_2Eitself(A0))).
% 2.25/2.44 all A_27a (ne(A_27a)->mem(c_2Ebool_2E_21(A_27a),arr(arr(A_27a,bool),bool))).
% 2.25/2.44 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)))))))).
% 2.25/2.44 mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))).
% 2.25/2.44 all Q (mem(Q,bool)-> (all R (mem(R,bool)-> (p(ap(ap(c_2Ebool_2E_2F_5C,Q),R))<->p(Q)&p(R))))).
% 2.25/2.44 all A_27a (ne(A_27a)->mem(c_2Ebool_2E_3F(A_27a),arr(arr(A_27a,bool),bool))).
% 2.25/2.44 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)))))))).
% 2.25/2.44 all A_27a (ne(A_27a)->mem(c_2Ebool_2E_3F_21(A_27a),arr(arr(A_27a,bool),bool))).
% 2.25/2.44 all A_27a (ne(A_27a)->mem(c_2Ebool_2EARB(A_27a),A_27a)).
% 2.25/2.44 mem(c_2Ebool_2EBOUNDED,arr(bool,bool)).
% 2.25/2.44 all A_27a (ne(A_27a)->mem(c_2Ebool_2ECOND(A_27a),arr(bool,arr(A_27a,arr(A_27a,A_27a))))).
% 2.25/2.44 all A_27a (ne(A_27a)->mem(c_2Ebool_2EDATATYPE(A_27a),arr(A_27a,bool))).
% 2.25/2.44 mem(c_2Ebool_2EF,bool).
% 2.25/2.44 -p(c_2Ebool_2EF).
% 2.25/2.44 all A_27a (ne(A_27a)->mem(c_2Ebool_2EIN(A_27a),arr(A_27a,arr(arr(A_27a,bool),bool)))).
% 2.25/2.44 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)->mem(c_2Ebool_2ELET(A_27a,A_27b),arr(arr(A_27a,A_27b),arr(A_27a,A_27b)))))).
% 2.25/2.44 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)->mem(c_2Ebool_2EONE__ONE(A_27a,A_27b),arr(arr(A_27a,A_27b),bool))))).
% 2.25/2.44 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)->mem(c_2Ebool_2EONTO(A_27a,A_27b),arr(arr(A_27a,A_27b),bool))))).
% 2.25/2.44 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)->mem(c_2Ebool_2ERES__ABSTRACT(A_27a,A_27b),arr(arr(A_27a,bool),arr(arr(A_27a,A_27b),arr(A_27a,A_27b))))))).
% 2.25/2.44 all A_27a (ne(A_27a)->mem(c_2Ebool_2ERES__EXISTS(A_27a),arr(arr(A_27a,bool),arr(arr(A_27a,bool),bool)))).
% 2.25/2.44 all A_27a (ne(A_27a)->mem(c_2Ebool_2ERES__EXISTS__UNIQUE(A_27a),arr(arr(A_27a,bool),arr(arr(A_27a,bool),bool)))).
% 2.25/2.44 all A_27a (ne(A_27a)->mem(c_2Ebool_2ERES__FORALL(A_27a),arr(arr(A_27a,bool),arr(arr(A_27a,bool),bool)))).
% 2.25/2.44 all A_27a (ne(A_27a)->mem(c_2Ebool_2ERES__SELECT(A_27a),arr(arr(A_27a,bool),arr(arr(A_27a,bool),A_27a)))).
% 2.25/2.44 mem(c_2Ebool_2ET,bool).
% 2.25/2.44 p(c_2Ebool_2ET).
% 2.25/2.44 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)->mem(c_2Ebool_2ETYPE__DEFINITION(A_27a,A_27b),arr(arr(A_27a,bool),arr(arr(A_27b,A_27a),bool)))))).
% 2.25/2.44 mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool))).
% 2.25/2.44 all Q (mem(Q,bool)-> (all R (mem(R,bool)-> (p(ap(ap(c_2Ebool_2E_5C_2F,Q),R))<->p(Q)|p(R))))).
% 2.25/2.44 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)->mem(c_2Ebool_2Eitself__case(A_27a,A_27b),arr(ty_2Ebool_2Eitself(A_27a),arr(A_27b,A_27b)))))).
% 2.25/2.44 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)->mem(c_2Ebool_2Eliteral__case(A_27a,A_27b),arr(arr(A_27a,A_27b),arr(A_27a,A_27b)))))).
% 2.25/2.44 all A_27a (ne(A_27a)->mem(c_2Ebool_2Ethe__value(A_27a),ty_2Ebool_2Eitself(A_27a))).
% 2.25/2.44 mem(c_2Ebool_2E_7E,arr(bool,bool)).
% 2.25/2.44 all Q (mem(Q,bool)-> (p(ap(c_2Ebool_2E_7E,Q))<-> -p(Q))).
% 2.25/2.44 $T<->i(bool)=i(bool).
% 2.25/2.44 all A_27a V0P (ap(f1(A_27a),V0P)=ap(ap(c_2Emin_2E_3D(arr(A_27a,bool)),V0P),k(A_27a,c_2Ebool_2ET))).
% 2.25/2.44 all A_27a (ne(A_27a)->c_2Ebool_2E_21(A_27a)=f1(A_27a)).
% 2.25/2.44 all A_27a V0P (ap(f2(A_27a),V0P)=ap(V0P,ap(c_2Emin_2E_40(A_27a),V0P))).
% 2.25/2.44 all A_27a (ne(A_27a)->c_2Ebool_2E_3F(A_27a)=f2(A_27a)).
% 2.25/2.44 all V1t2 (mem(V1t2,bool)-> (all V0t1 (mem(V0t1,bool)-> (all V2t (ap(f3(V1t2,V0t1),V2t)=ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D_3D_3E,V0t1),ap(ap(c_2Emin_2E_3D_3D_3E,V1t2),V2t))),V2t)))))).
% 2.25/2.44 all V0t1 (mem(V0t1,bool)-> (all V1t2 (ap(f4(V0t1),V1t2)=ap(c_2Ebool_2E_21(bool),f3(V1t2,V0t1))))).
% 2.25/2.44 all V0t1 (ap(f5,V0t1)=f4(V0t1)).
% 2.25/2.44 c_2Ebool_2E_2F_5C=f5.
% 2.25/2.44 all V0t1 (mem(V0t1,bool)-> (all V1t2 (mem(V1t2,bool)-> (all V2t (ap(f6(V0t1,V1t2),V2t)=ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D_3D_3E,V0t1),V2t)),ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D_3D_3E,V1t2),V2t)),V2t))))))).
% 2.25/2.44 all V0t1 (mem(V0t1,bool)-> (all V1t2 (ap(f7(V0t1),V1t2)=ap(c_2Ebool_2E_21(bool),f6(V0t1,V1t2))))).
% 2.25/2.44 all V0t1 (ap(f8,V0t1)=f7(V0t1)).
% 2.25/2.44 c_2Ebool_2E_5C_2F=f8.
% 2.25/2.44 $F<-> (all V0t (mem(V0t,bool)->p(V0t))).
% 2.25/2.44 all V0t (ap(f9,V0t)=ap(ap(c_2Emin_2E_3D_3D_3E,V0t),c_2Ebool_2EF)).
% 2.25/2.44 c_2Ebool_2E_7E=f9.
% 2.25/2.44 all A_27a V0P (mem(V0P,arr(A_27a,bool))-> (all V1x (mem(V1x,A_27a)-> (all V2y (ap(f10(A_27a,V0P,V1x),V2y)=ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Ebool_2E_2F_5C,ap(V0P,V1x)),ap(V0P,V2y))),ap(ap(c_2Emin_2E_3D(A_27a),V1x),V2y))))))).
% 2.25/2.44 all A_27a V0P (mem(V0P,arr(A_27a,bool))-> (all V1x (ap(f11(A_27a,V0P),V1x)=ap(c_2Ebool_2E_21(A_27a),f10(A_27a,V0P,V1x))))).
% 2.25/2.44 all A_27a V0P (ap(f12(A_27a),V0P)=ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_3F(A_27a),V0P)),ap(c_2Ebool_2E_21(A_27a),f11(A_27a,V0P)))).
% 2.25/2.44 all A_27a (ne(A_27a)->c_2Ebool_2E_3F_21(A_27a)=f12(A_27a)).
% 2.25/2.44 all A_27b A_27a V0f (mem(V0f,arr(A_27a,A_27b))-> (all V1x (ap(f13(A_27b,A_27a,V0f),V1x)=ap(V0f,V1x)))).
% 2.25/2.44 all A_27b A_27a V0f (ap(f14(A_27b,A_27a),V0f)=f13(A_27b,A_27a,V0f)).
% 2.25/2.44 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)->c_2Ebool_2ELET(A_27a,A_27b)=f14(A_27b,A_27a)))).
% 2.25/2.44 all A_27a V1t1 (mem(V1t1,A_27a)-> (all V2t2 (mem(V2t2,A_27a)-> (all V0t (mem(V0t,bool)-> (all V3x (ap(f15(A_27a,V1t1,V2t2,V0t),V3x)=ap(ap(c_2Ebool_2E_2F_5C,ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D(bool),V0t),c_2Ebool_2ET)),ap(ap(c_2Emin_2E_3D(A_27a),V3x),V1t1))),ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D(bool),V0t),c_2Ebool_2EF)),ap(ap(c_2Emin_2E_3D(A_27a),V3x),V2t2)))))))))).
% 2.25/2.44 all A_27a V0t (mem(V0t,bool)-> (all V1t1 (mem(V1t1,A_27a)-> (all V2t2 (ap(f16(A_27a,V0t,V1t1),V2t2)=ap(c_2Emin_2E_40(A_27a),f15(A_27a,V1t1,V2t2,V0t))))))).
% 2.25/2.44 all A_27a V0t (mem(V0t,bool)-> (all V1t1 (ap(f17(A_27a,V0t),V1t1)=f16(A_27a,V0t,V1t1)))).
% 2.25/2.44 all A_27a V0t (ap(f18(A_27a),V0t)=f17(A_27a,V0t)).
% 2.25/2.44 all A_27a (ne(A_27a)->c_2Ebool_2ECOND(A_27a)=f18(A_27a)).
% 2.25/2.44 all A_27b A_27a V0f (mem(V0f,arr(A_27a,A_27b))-> (all V1x1 (mem(V1x1,A_27a)-> (all V2x2 (ap(f19(A_27b,A_27a,V0f,V1x1),V2x2)=ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D(A_27b),ap(V0f,V1x1)),ap(V0f,V2x2))),ap(ap(c_2Emin_2E_3D(A_27a),V1x1),V2x2))))))).
% 2.25/2.44 all A_27b A_27a V0f (mem(V0f,arr(A_27a,A_27b))-> (all V1x1 (ap(f20(A_27b,A_27a,V0f),V1x1)=ap(c_2Ebool_2E_21(A_27a),f19(A_27b,A_27a,V0f,V1x1))))).
% 2.25/2.44 all A_27b A_27a V0f (ap(f21(A_27b,A_27a),V0f)=ap(c_2Ebool_2E_21(A_27a),f20(A_27b,A_27a,V0f))).
% 2.25/2.44 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)->c_2Ebool_2EONE__ONE(A_27a,A_27b)=f21(A_27b,A_27a)))).
% 2.25/2.44 all A_27b A_27a V0f (mem(V0f,arr(A_27a,A_27b))-> (all V1y (mem(V1y,A_27b)-> (all V2x (ap(f22(A_27b,A_27a,V0f,V1y),V2x)=ap(ap(c_2Emin_2E_3D(A_27b),V1y),ap(V0f,V2x))))))).
% 2.25/2.44 all A_27a A_27b V0f (mem(V0f,arr(A_27a,A_27b))-> (all V1y (ap(f23(A_27a,A_27b,V0f),V1y)=ap(c_2Ebool_2E_3F(A_27a),f22(A_27b,A_27a,V0f,V1y))))).
% 2.25/2.44 all A_27a A_27b V0f (ap(f24(A_27a,A_27b),V0f)=ap(c_2Ebool_2E_21(A_27b),f23(A_27a,A_27b,V0f))).
% 2.25/2.44 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)->c_2Ebool_2EONTO(A_27a,A_27b)=f24(A_27a,A_27b)))).
% 2.25/2.44 all A_27a A_27b V1rep (mem(V1rep,arr(A_27b,A_27a))-> (all V2x_27 (mem(V2x_27,A_27b)-> (all V3x_27_27 (ap(f25(A_27a,A_27b,V1rep,V2x_27),V3x_27_27)=ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D(A_27a),ap(V1rep,V2x_27)),ap(V1rep,V3x_27_27))),ap(ap(c_2Emin_2E_3D(A_27b),V2x_27),V3x_27_27))))))).
% 2.25/2.44 all A_27a A_27b V1rep (mem(V1rep,arr(A_27b,A_27a))-> (all V2x_27 (ap(f26(A_27a,A_27b,V1rep),V2x_27)=ap(c_2Ebool_2E_21(A_27b),f25(A_27a,A_27b,V1rep,V2x_27))))).
% 2.25/2.44 all A_27a A_27b V1rep (mem(V1rep,arr(A_27b,A_27a))-> (all V4x (mem(V4x,A_27a)-> (all V5x_27 (ap(f27(A_27a,A_27b,V1rep,V4x),V5x_27)=ap(ap(c_2Emin_2E_3D(A_27a),V4x),ap(V1rep,V5x_27))))))).
% 2.25/2.44 all A_27b A_27a V0P (mem(V0P,arr(A_27a,bool))-> (all V1rep (mem(V1rep,arr(A_27b,A_27a))-> (all V4x (ap(f28(A_27b,A_27a,V0P,V1rep),V4x)=ap(ap(c_2Emin_2E_3D(bool),ap(V0P,V4x)),ap(c_2Ebool_2E_3F(A_27b),f27(A_27a,A_27b,V1rep,V4x)))))))).
% 2.25/2.44 all A_27b A_27a V0P (mem(V0P,arr(A_27a,bool))-> (all V1rep (ap(f29(A_27b,A_27a,V0P),V1rep)=ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_21(A_27b),f26(A_27a,A_27b,V1rep))),ap(c_2Ebool_2E_21(A_27a),f28(A_27b,A_27a,V0P,V1rep)))))).
% 2.25/2.44 all A_27b A_27a V0P (ap(f30(A_27b,A_27a),V0P)=f29(A_27b,A_27a,V0P)).
% 2.25/2.44 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)->c_2Ebool_2ETYPE__DEFINITION(A_27a,A_27b)=f30(A_27b,A_27a)))).
% 2.25/2.44 all V0t (mem(V0t,bool)-> (p(V0t)<->$T)| (p(V0t)<->$F)).
% 2.25/2.44 all A_27b A_27a V0t (mem(V0t,arr(A_27a,A_27b))-> (all V1x (ap(f31(A_27b,A_27a,V0t),V1x)=ap(V0t,V1x)))).
% 2.25/2.44 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)-> (all V0t (mem(V0t,arr(A_27a,A_27b))->f31(A_27b,A_27a,V0t)=V0t))))).
% 2.25/2.44 all A_27a (ne(A_27a)-> (all V0P (mem(V0P,arr(A_27a,bool))-> (all V1x (mem(V1x,A_27a)-> (p(ap(V0P,V1x))->p(ap(V0P,ap(c_2Emin_2E_40(A_27a),V0P))))))))).
% 2.25/2.44 exists V0f (mem(V0f,arr(ind,ind))&p(ap(c_2Ebool_2EONE__ONE(ind,ind),V0f))& -p(ap(c_2Ebool_2EONTO(ind,ind),V0f))).
% 2.25/2.44 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)->c_2Ebool_2Eliteral__case(A_27a,A_27b)=f14(A_27b,A_27a)))).
% 2.25/2.44 all A_27a V0x (mem(V0x,A_27a)-> (all V1f (ap(f32(A_27a,V0x),V1f)=ap(V1f,V0x)))).
% 2.25/2.44 all A_27a V0x (ap(f33(A_27a),V0x)=f32(A_27a,V0x)).
% 2.25/2.44 all A_27a (ne(A_27a)->c_2Ebool_2EIN(A_27a)=f33(A_27a)).
% 2.25/2.44 all A_27a V0p (mem(V0p,arr(A_27a,bool))-> (all V1m (mem(V1m,arr(A_27a,bool))-> (all V2x (ap(f34(A_27a,V0p,V1m),V2x)=ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Ebool_2EIN(A_27a),V2x),V0p)),ap(V1m,V2x))))))).
% 2.25/2.44 all A_27a V0p (mem(V0p,arr(A_27a,bool))-> (all V1m (ap(f35(A_27a,V0p),V1m)=ap(c_2Ebool_2E_21(A_27a),f34(A_27a,V0p,V1m))))).
% 2.25/2.44 all A_27a V0p (ap(f36(A_27a),V0p)=f35(A_27a,V0p)).
% 2.25/2.44 all A_27a (ne(A_27a)->c_2Ebool_2ERES__FORALL(A_27a)=f36(A_27a)).
% 2.25/2.44 all A_27a V0p (mem(V0p,arr(A_27a,bool))-> (all V1m (mem(V1m,arr(A_27a,bool))-> (all V2x (ap(f37(A_27a,V0p,V1m),V2x)=ap(ap(c_2Ebool_2E_2F_5C,ap(ap(c_2Ebool_2EIN(A_27a),V2x),V0p)),ap(V1m,V2x))))))).
% 2.25/2.44 all A_27a V0p (mem(V0p,arr(A_27a,bool))-> (all V1m (ap(f38(A_27a,V0p),V1m)=ap(c_2Ebool_2E_3F(A_27a),f37(A_27a,V0p,V1m))))).
% 2.25/2.44 all A_27a V0p (ap(f39(A_27a),V0p)=f38(A_27a,V0p)).
% 2.25/2.44 all A_27a (ne(A_27a)->c_2Ebool_2ERES__EXISTS(A_27a)=f39(A_27a)).
% 2.25/2.44 all A_27a V1m (mem(V1m,arr(A_27a,bool))-> (all V2x (ap(f40(A_27a,V1m),V2x)=ap(V1m,V2x)))).
% 2.25/2.44 all A_27a V1m (mem(V1m,arr(A_27a,bool))-> (all V3x (mem(V3x,A_27a)-> (all V4y (ap(f41(A_27a,V1m,V3x),V4y)=ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Ebool_2E_2F_5C,ap(V1m,V3x)),ap(V1m,V4y))),ap(ap(c_2Emin_2E_3D(A_27a),V3x),V4y))))))).
% 2.25/2.44 all A_27a V1m (mem(V1m,arr(A_27a,bool))-> (all V0p (mem(V0p,arr(A_27a,bool))-> (all V3x (ap(f42(A_27a,V1m,V0p),V3x)=ap(ap(c_2Ebool_2ERES__FORALL(A_27a),V0p),f41(A_27a,V1m,V3x))))))).
% 2.25/2.44 all A_27a V0p (mem(V0p,arr(A_27a,bool))-> (all V1m (ap(f43(A_27a,V0p),V1m)=ap(ap(c_2Ebool_2E_2F_5C,ap(ap(c_2Ebool_2ERES__EXISTS(A_27a),V0p),f40(A_27a,V1m))),ap(ap(c_2Ebool_2ERES__FORALL(A_27a),V0p),f42(A_27a,V1m,V0p)))))).
% 2.25/2.44 all A_27a V0p (ap(f44(A_27a),V0p)=f43(A_27a,V0p)).
% 2.25/2.44 all A_27a (ne(A_27a)->c_2Ebool_2ERES__EXISTS__UNIQUE(A_27a)=f44(A_27a)).
% 2.25/2.44 all A_27a V0p (mem(V0p,arr(A_27a,bool))-> (all V1m (ap(f45(A_27a,V0p),V1m)=ap(c_2Emin_2E_40(A_27a),f37(A_27a,V0p,V1m))))).
% 2.25/2.44 all A_27a V0p (ap(f46(A_27a),V0p)=f45(A_27a,V0p)).
% 2.25/2.44 all A_27a (ne(A_27a)->c_2Ebool_2ERES__SELECT(A_27a)=f46(A_27a)).
% 2.25/2.44 c_2Ebool_2EBOUNDED=k(bool,c_2Ebool_2ET).
% 2.25/2.44 all A_27a (ne(A_27a)->c_2Ebool_2EDATATYPE(A_27a)=k(A_27a,c_2Ebool_2ET)).
% 2.25/2.44 -$T.
% 2.25/2.44 end_of_list.
% 2.25/2.44
% 2.25/2.44 -------> usable clausifies to:
% 2.25/2.44
% 2.25/2.44 list(usable).
% 2.25/2.44 0 [] A=A.
% 2.25/2.44 0 [] ne(bool).
% 2.25/2.44 0 [] ne(ind).
% 2.25/2.44 0 [] -ne(A)| -ne(B)|ne(arr(A,B)).
% 2.25/2.44 0 [] -mem(F,arr(A,B))| -mem(X,A)|mem(ap(F,X),B).
% 2.25/2.44 0 [] -mem(Q,bool)| -mem(R,bool)|p(Q)|p(R)|Q=R.
% 2.25/2.44 0 [] -mem(Q,bool)| -mem(R,bool)| -p(Q)| -p(R)|Q=R.
% 2.25/2.44 0 [] -mem(F,arr(A,B))| -mem(G,arr(A,B))|mem($f1(A,B,F,G),A)|F=G.
% 2.25/2.44 0 [] -mem(F,arr(A,B))| -mem(G,arr(A,B))|ap(F,$f1(A,B,F,G))!=ap(G,$f1(A,B,F,G))|F=G.
% 2.25/2.44 0 [] -mem(X,A)|ap(k(A,Y),X)=Y.
% 2.25/2.44 0 [] -mem(X,A)|ap(i(A),X)=X.
% 2.25/2.44 0 [] -ne(A_27a)|mem(c_2Emin_2E_3D(A_27a),arr(A_27a,arr(A_27a,bool))).
% 2.25/2.44 0 [] -ne(A)| -mem(X,A)| -mem(Y,A)| -p(ap(ap(c_2Emin_2E_3D(A),X),Y))|X=Y.
% 2.25/2.44 0 [] -ne(A)| -mem(X,A)| -mem(Y,A)|p(ap(ap(c_2Emin_2E_3D(A),X),Y))|X!=Y.
% 2.25/2.44 0 [] mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))).
% 2.25/2.44 0 [] -mem(Q,bool)| -mem(R,bool)| -p(ap(ap(c_2Emin_2E_3D_3D_3E,Q),R))| -p(Q)|p(R).
% 2.25/2.44 0 [] -mem(Q,bool)| -mem(R,bool)|p(ap(ap(c_2Emin_2E_3D_3D_3E,Q),R))|p(Q).
% 2.25/2.44 0 [] -mem(Q,bool)| -mem(R,bool)|p(ap(ap(c_2Emin_2E_3D_3D_3E,Q),R))| -p(R).
% 2.25/2.44 0 [] -ne(A_27a)|mem(c_2Emin_2E_40(A_27a),arr(arr(A_27a,bool),A_27a)).
% 2.25/2.44 0 [] -ne(A0)|ne(ty_2Ebool_2Eitself(A0)).
% 2.25/2.44 0 [] -ne(A_27a)|mem(c_2Ebool_2E_21(A_27a),arr(arr(A_27a,bool),bool)).
% 2.25/2.44 0 [] -ne(A)| -mem(Q,arr(A,bool))| -p(ap(c_2Ebool_2E_21(A),Q))| -mem(X,A)|p(ap(Q,X)).
% 2.25/2.44 0 [] -ne(A)| -mem(Q,arr(A,bool))|p(ap(c_2Ebool_2E_21(A),Q))|mem($f2(A,Q),A).
% 2.25/2.44 0 [] -ne(A)| -mem(Q,arr(A,bool))|p(ap(c_2Ebool_2E_21(A),Q))| -p(ap(Q,$f2(A,Q))).
% 2.25/2.44 0 [] mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))).
% 2.25/2.44 0 [] -mem(Q,bool)| -mem(R,bool)| -p(ap(ap(c_2Ebool_2E_2F_5C,Q),R))|p(Q).
% 2.25/2.44 0 [] -mem(Q,bool)| -mem(R,bool)| -p(ap(ap(c_2Ebool_2E_2F_5C,Q),R))|p(R).
% 2.25/2.44 0 [] -mem(Q,bool)| -mem(R,bool)|p(ap(ap(c_2Ebool_2E_2F_5C,Q),R))| -p(Q)| -p(R).
% 2.25/2.44 0 [] -ne(A_27a)|mem(c_2Ebool_2E_3F(A_27a),arr(arr(A_27a,bool),bool)).
% 2.25/2.44 0 [] -ne(A)| -mem(Q,arr(A,bool))| -p(ap(c_2Ebool_2E_3F(A),Q))|mem($f3(A,Q),A).
% 2.25/2.44 0 [] -ne(A)| -mem(Q,arr(A,bool))| -p(ap(c_2Ebool_2E_3F(A),Q))|p(ap(Q,$f3(A,Q))).
% 2.25/2.44 0 [] -ne(A)| -mem(Q,arr(A,bool))|p(ap(c_2Ebool_2E_3F(A),Q))| -mem(X,A)| -p(ap(Q,X)).
% 2.25/2.44 0 [] -ne(A_27a)|mem(c_2Ebool_2E_3F_21(A_27a),arr(arr(A_27a,bool),bool)).
% 2.25/2.44 0 [] -ne(A_27a)|mem(c_2Ebool_2EARB(A_27a),A_27a).
% 2.25/2.44 0 [] mem(c_2Ebool_2EBOUNDED,arr(bool,bool)).
% 2.25/2.44 0 [] -ne(A_27a)|mem(c_2Ebool_2ECOND(A_27a),arr(bool,arr(A_27a,arr(A_27a,A_27a)))).
% 2.25/2.44 0 [] -ne(A_27a)|mem(c_2Ebool_2EDATATYPE(A_27a),arr(A_27a,bool)).
% 2.25/2.44 0 [] mem(c_2Ebool_2EF,bool).
% 2.25/2.44 0 [] -p(c_2Ebool_2EF).
% 2.25/2.44 0 [] -ne(A_27a)|mem(c_2Ebool_2EIN(A_27a),arr(A_27a,arr(arr(A_27a,bool),bool))).
% 2.25/2.44 0 [] -ne(A_27a)| -ne(A_27b)|mem(c_2Ebool_2ELET(A_27a,A_27b),arr(arr(A_27a,A_27b),arr(A_27a,A_27b))).
% 2.25/2.44 0 [] -ne(A_27a)| -ne(A_27b)|mem(c_2Ebool_2EONE__ONE(A_27a,A_27b),arr(arr(A_27a,A_27b),bool)).
% 2.25/2.44 0 [] -ne(A_27a)| -ne(A_27b)|mem(c_2Ebool_2EONTO(A_27a,A_27b),arr(arr(A_27a,A_27b),bool)).
% 2.25/2.44 0 [] -ne(A_27a)| -ne(A_27b)|mem(c_2Ebool_2ERES__ABSTRACT(A_27a,A_27b),arr(arr(A_27a,bool),arr(arr(A_27a,A_27b),arr(A_27a,A_27b)))).
% 2.25/2.44 0 [] -ne(A_27a)|mem(c_2Ebool_2ERES__EXISTS(A_27a),arr(arr(A_27a,bool),arr(arr(A_27a,bool),bool))).
% 2.25/2.44 0 [] -ne(A_27a)|mem(c_2Ebool_2ERES__EXISTS__UNIQUE(A_27a),arr(arr(A_27a,bool),arr(arr(A_27a,bool),bool))).
% 2.25/2.44 0 [] -ne(A_27a)|mem(c_2Ebool_2ERES__FORALL(A_27a),arr(arr(A_27a,bool),arr(arr(A_27a,bool),bool))).
% 2.25/2.44 0 [] -ne(A_27a)|mem(c_2Ebool_2ERES__SELECT(A_27a),arr(arr(A_27a,bool),arr(arr(A_27a,bool),A_27a))).
% 2.25/2.44 0 [] mem(c_2Ebool_2ET,bool).
% 2.25/2.44 0 [] p(c_2Ebool_2ET).
% 2.25/2.44 0 [] -ne(A_27a)| -ne(A_27b)|mem(c_2Ebool_2ETYPE__DEFINITION(A_27a,A_27b),arr(arr(A_27a,bool),arr(arr(A_27b,A_27a),bool))).
% 2.25/2.44 0 [] mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool))).
% 2.25/2.44 0 [] -mem(Q,bool)| -mem(R,bool)| -p(ap(ap(c_2Ebool_2E_5C_2F,Q),R))|p(Q)|p(R).
% 2.25/2.44 0 [] -mem(Q,bool)| -mem(R,bool)|p(ap(ap(c_2Ebool_2E_5C_2F,Q),R))| -p(Q).
% 2.25/2.44 0 [] -mem(Q,bool)| -mem(R,bool)|p(ap(ap(c_2Ebool_2E_5C_2F,Q),R))| -p(R).
% 2.25/2.44 0 [] -ne(A_27a)| -ne(A_27b)|mem(c_2Ebool_2Eitself__case(A_27a,A_27b),arr(ty_2Ebool_2Eitself(A_27a),arr(A_27b,A_27b))).
% 2.25/2.44 0 [] -ne(A_27a)| -ne(A_27b)|mem(c_2Ebool_2Eliteral__case(A_27a,A_27b),arr(arr(A_27a,A_27b),arr(A_27a,A_27b))).
% 2.25/2.44 0 [] -ne(A_27a)|mem(c_2Ebool_2Ethe__value(A_27a),ty_2Ebool_2Eitself(A_27a)).
% 2.25/2.44 0 [] mem(c_2Ebool_2E_7E,arr(bool,bool)).
% 2.25/2.44 0 [] -mem(Q,bool)| -p(ap(c_2Ebool_2E_7E,Q))| -p(Q).
% 2.25/2.44 0 [] -mem(Q,bool)|p(ap(c_2Ebool_2E_7E,Q))|p(Q).
% 2.25/2.44 0 [] -$T|i(bool)=i(bool).
% 2.25/2.44 0 [] $T|i(bool)!=i(bool).
% 2.25/2.44 0 [] ap(f1(A_27a),V0P)=ap(ap(c_2Emin_2E_3D(arr(A_27a,bool)),V0P),k(A_27a,c_2Ebool_2ET)).
% 2.25/2.44 0 [] -ne(A_27a)|c_2Ebool_2E_21(A_27a)=f1(A_27a).
% 2.25/2.44 0 [] ap(f2(A_27a),V0P)=ap(V0P,ap(c_2Emin_2E_40(A_27a),V0P)).
% 2.25/2.44 0 [] -ne(A_27a)|c_2Ebool_2E_3F(A_27a)=f2(A_27a).
% 2.25/2.44 0 [] -mem(V1t2,bool)| -mem(V0t1,bool)|ap(f3(V1t2,V0t1),V2t)=ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D_3D_3E,V0t1),ap(ap(c_2Emin_2E_3D_3D_3E,V1t2),V2t))),V2t).
% 2.25/2.44 0 [] -mem(V0t1,bool)|ap(f4(V0t1),V1t2)=ap(c_2Ebool_2E_21(bool),f3(V1t2,V0t1)).
% 2.25/2.44 0 [] ap(f5,V0t1)=f4(V0t1).
% 2.25/2.44 0 [] c_2Ebool_2E_2F_5C=f5.
% 2.25/2.44 0 [] -mem(V0t1,bool)| -mem(V1t2,bool)|ap(f6(V0t1,V1t2),V2t)=ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D_3D_3E,V0t1),V2t)),ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D_3D_3E,V1t2),V2t)),V2t)).
% 2.25/2.44 0 [] -mem(V0t1,bool)|ap(f7(V0t1),V1t2)=ap(c_2Ebool_2E_21(bool),f6(V0t1,V1t2)).
% 2.25/2.44 0 [] ap(f8,V0t1)=f7(V0t1).
% 2.25/2.44 0 [] c_2Ebool_2E_5C_2F=f8.
% 2.25/2.44 0 [] -$F| -mem(V0t,bool)|p(V0t).
% 2.25/2.44 0 [] $F|mem($c1,bool).
% 2.25/2.44 0 [] $F| -p($c1).
% 2.25/2.44 0 [] ap(f9,V0t)=ap(ap(c_2Emin_2E_3D_3D_3E,V0t),c_2Ebool_2EF).
% 2.25/2.44 0 [] c_2Ebool_2E_7E=f9.
% 2.25/2.44 0 [] -mem(V0P,arr(A_27a,bool))| -mem(V1x,A_27a)|ap(f10(A_27a,V0P,V1x),V2y)=ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Ebool_2E_2F_5C,ap(V0P,V1x)),ap(V0P,V2y))),ap(ap(c_2Emin_2E_3D(A_27a),V1x),V2y)).
% 2.25/2.44 0 [] -mem(V0P,arr(A_27a,bool))|ap(f11(A_27a,V0P),V1x)=ap(c_2Ebool_2E_21(A_27a),f10(A_27a,V0P,V1x)).
% 2.25/2.44 0 [] ap(f12(A_27a),V0P)=ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_3F(A_27a),V0P)),ap(c_2Ebool_2E_21(A_27a),f11(A_27a,V0P))).
% 2.25/2.44 0 [] -ne(A_27a)|c_2Ebool_2E_3F_21(A_27a)=f12(A_27a).
% 2.25/2.44 0 [] -mem(V0f,arr(A_27a,A_27b))|ap(f13(A_27b,A_27a,V0f),V1x)=ap(V0f,V1x).
% 2.25/2.44 0 [] ap(f14(A_27b,A_27a),V0f)=f13(A_27b,A_27a,V0f).
% 2.25/2.44 0 [] -ne(A_27a)| -ne(A_27b)|c_2Ebool_2ELET(A_27a,A_27b)=f14(A_27b,A_27a).
% 2.25/2.44 0 [] -mem(V1t1,A_27a)| -mem(V2t2,A_27a)| -mem(V0t,bool)|ap(f15(A_27a,V1t1,V2t2,V0t),V3x)=ap(ap(c_2Ebool_2E_2F_5C,ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D(bool),V0t),c_2Ebool_2ET)),ap(ap(c_2Emin_2E_3D(A_27a),V3x),V1t1))),ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D(bool),V0t),c_2Ebool_2EF)),ap(ap(c_2Emin_2E_3D(A_27a),V3x),V2t2))).
% 2.25/2.44 0 [] -mem(V0t,bool)| -mem(V1t1,A_27a)|ap(f16(A_27a,V0t,V1t1),V2t2)=ap(c_2Emin_2E_40(A_27a),f15(A_27a,V1t1,V2t2,V0t)).
% 2.25/2.44 0 [] -mem(V0t,bool)|ap(f17(A_27a,V0t),V1t1)=f16(A_27a,V0t,V1t1).
% 2.25/2.44 0 [] ap(f18(A_27a),V0t)=f17(A_27a,V0t).
% 2.25/2.44 0 [] -ne(A_27a)|c_2Ebool_2ECOND(A_27a)=f18(A_27a).
% 2.25/2.44 0 [] -mem(V0f,arr(A_27a,A_27b))| -mem(V1x1,A_27a)|ap(f19(A_27b,A_27a,V0f,V1x1),V2x2)=ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D(A_27b),ap(V0f,V1x1)),ap(V0f,V2x2))),ap(ap(c_2Emin_2E_3D(A_27a),V1x1),V2x2)).
% 2.25/2.44 0 [] -mem(V0f,arr(A_27a,A_27b))|ap(f20(A_27b,A_27a,V0f),V1x1)=ap(c_2Ebool_2E_21(A_27a),f19(A_27b,A_27a,V0f,V1x1)).
% 2.25/2.44 0 [] ap(f21(A_27b,A_27a),V0f)=ap(c_2Ebool_2E_21(A_27a),f20(A_27b,A_27a,V0f)).
% 2.25/2.44 0 [] -ne(A_27a)| -ne(A_27b)|c_2Ebool_2EONE__ONE(A_27a,A_27b)=f21(A_27b,A_27a).
% 2.25/2.44 0 [] -mem(V0f,arr(A_27a,A_27b))| -mem(V1y,A_27b)|ap(f22(A_27b,A_27a,V0f,V1y),V2x)=ap(ap(c_2Emin_2E_3D(A_27b),V1y),ap(V0f,V2x)).
% 2.25/2.44 0 [] -mem(V0f,arr(A_27a,A_27b))|ap(f23(A_27a,A_27b,V0f),V1y)=ap(c_2Ebool_2E_3F(A_27a),f22(A_27b,A_27a,V0f,V1y)).
% 2.25/2.44 0 [] ap(f24(A_27a,A_27b),V0f)=ap(c_2Ebool_2E_21(A_27b),f23(A_27a,A_27b,V0f)).
% 2.25/2.44 0 [] -ne(A_27a)| -ne(A_27b)|c_2Ebool_2EONTO(A_27a,A_27b)=f24(A_27a,A_27b).
% 2.25/2.44 0 [] -mem(V1rep,arr(A_27b,A_27a))| -mem(V2x_27,A_27b)|ap(f25(A_27a,A_27b,V1rep,V2x_27),V3x_27_27)=ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D(A_27a),ap(V1rep,V2x_27)),ap(V1rep,V3x_27_27))),ap(ap(c_2Emin_2E_3D(A_27b),V2x_27),V3x_27_27)).
% 2.25/2.44 0 [] -mem(V1rep,arr(A_27b,A_27a))|ap(f26(A_27a,A_27b,V1rep),V2x_27)=ap(c_2Ebool_2E_21(A_27b),f25(A_27a,A_27b,V1rep,V2x_27)).
% 2.25/2.44 0 [] -mem(V1rep,arr(A_27b,A_27a))| -mem(V4x,A_27a)|ap(f27(A_27a,A_27b,V1rep,V4x),V5x_27)=ap(ap(c_2Emin_2E_3D(A_27a),V4x),ap(V1rep,V5x_27)).
% 2.25/2.44 0 [] -mem(V0P,arr(A_27a,bool))| -mem(V1rep,arr(A_27b,A_27a))|ap(f28(A_27b,A_27a,V0P,V1rep),V4x)=ap(ap(c_2Emin_2E_3D(bool),ap(V0P,V4x)),ap(c_2Ebool_2E_3F(A_27b),f27(A_27a,A_27b,V1rep,V4x))).
% 2.25/2.44 0 [] -mem(V0P,arr(A_27a,bool))|ap(f29(A_27b,A_27a,V0P),V1rep)=ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_21(A_27b),f26(A_27a,A_27b,V1rep))),ap(c_2Ebool_2E_21(A_27a),f28(A_27b,A_27a,V0P,V1rep))).
% 2.25/2.45 0 [] ap(f30(A_27b,A_27a),V0P)=f29(A_27b,A_27a,V0P).
% 2.25/2.45 0 [] -ne(A_27a)| -ne(A_27b)|c_2Ebool_2ETYPE__DEFINITION(A_27a,A_27b)=f30(A_27b,A_27a).
% 2.25/2.45 0 [] -mem(V0t,bool)| -p(V0t)|$T|$F.
% 2.25/2.45 0 [] -mem(V0t,bool)|p(V0t)| -$T| -$F.
% 2.25/2.45 0 [] -mem(V0t,arr(A_27a,A_27b))|ap(f31(A_27b,A_27a,V0t),V1x)=ap(V0t,V1x).
% 2.25/2.45 0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0t,arr(A_27a,A_27b))|f31(A_27b,A_27a,V0t)=V0t.
% 2.25/2.45 0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1x,A_27a)| -p(ap(V0P,V1x))|p(ap(V0P,ap(c_2Emin_2E_40(A_27a),V0P))).
% 2.25/2.45 0 [] mem($c2,arr(ind,ind)).
% 2.25/2.45 0 [] p(ap(c_2Ebool_2EONE__ONE(ind,ind),$c2)).
% 2.25/2.45 0 [] -p(ap(c_2Ebool_2EONTO(ind,ind),$c2)).
% 2.25/2.45 0 [] -ne(A_27a)| -ne(A_27b)|c_2Ebool_2Eliteral__case(A_27a,A_27b)=f14(A_27b,A_27a).
% 2.25/2.45 0 [] -mem(V0x,A_27a)|ap(f32(A_27a,V0x),V1f)=ap(V1f,V0x).
% 2.25/2.45 0 [] ap(f33(A_27a),V0x)=f32(A_27a,V0x).
% 2.25/2.45 0 [] -ne(A_27a)|c_2Ebool_2EIN(A_27a)=f33(A_27a).
% 2.25/2.45 0 [] -mem(V0p,arr(A_27a,bool))| -mem(V1m,arr(A_27a,bool))|ap(f34(A_27a,V0p,V1m),V2x)=ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Ebool_2EIN(A_27a),V2x),V0p)),ap(V1m,V2x)).
% 2.25/2.45 0 [] -mem(V0p,arr(A_27a,bool))|ap(f35(A_27a,V0p),V1m)=ap(c_2Ebool_2E_21(A_27a),f34(A_27a,V0p,V1m)).
% 2.25/2.45 0 [] ap(f36(A_27a),V0p)=f35(A_27a,V0p).
% 2.25/2.45 0 [] -ne(A_27a)|c_2Ebool_2ERES__FORALL(A_27a)=f36(A_27a).
% 2.25/2.45 0 [] -mem(V0p,arr(A_27a,bool))| -mem(V1m,arr(A_27a,bool))|ap(f37(A_27a,V0p,V1m),V2x)=ap(ap(c_2Ebool_2E_2F_5C,ap(ap(c_2Ebool_2EIN(A_27a),V2x),V0p)),ap(V1m,V2x)).
% 2.25/2.45 0 [] -mem(V0p,arr(A_27a,bool))|ap(f38(A_27a,V0p),V1m)=ap(c_2Ebool_2E_3F(A_27a),f37(A_27a,V0p,V1m)).
% 2.25/2.45 0 [] ap(f39(A_27a),V0p)=f38(A_27a,V0p).
% 2.25/2.45 0 [] -ne(A_27a)|c_2Ebool_2ERES__EXISTS(A_27a)=f39(A_27a).
% 2.25/2.45 0 [] -mem(V1m,arr(A_27a,bool))|ap(f40(A_27a,V1m),V2x)=ap(V1m,V2x).
% 2.25/2.45 0 [] -mem(V1m,arr(A_27a,bool))| -mem(V3x,A_27a)|ap(f41(A_27a,V1m,V3x),V4y)=ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Ebool_2E_2F_5C,ap(V1m,V3x)),ap(V1m,V4y))),ap(ap(c_2Emin_2E_3D(A_27a),V3x),V4y)).
% 2.25/2.45 0 [] -mem(V1m,arr(A_27a,bool))| -mem(V0p,arr(A_27a,bool))|ap(f42(A_27a,V1m,V0p),V3x)=ap(ap(c_2Ebool_2ERES__FORALL(A_27a),V0p),f41(A_27a,V1m,V3x)).
% 2.25/2.45 0 [] -mem(V0p,arr(A_27a,bool))|ap(f43(A_27a,V0p),V1m)=ap(ap(c_2Ebool_2E_2F_5C,ap(ap(c_2Ebool_2ERES__EXISTS(A_27a),V0p),f40(A_27a,V1m))),ap(ap(c_2Ebool_2ERES__FORALL(A_27a),V0p),f42(A_27a,V1m,V0p))).
% 2.25/2.45 0 [] ap(f44(A_27a),V0p)=f43(A_27a,V0p).
% 2.25/2.45 0 [] -ne(A_27a)|c_2Ebool_2ERES__EXISTS__UNIQUE(A_27a)=f44(A_27a).
% 2.25/2.45 0 [] -mem(V0p,arr(A_27a,bool))|ap(f45(A_27a,V0p),V1m)=ap(c_2Emin_2E_40(A_27a),f37(A_27a,V0p,V1m)).
% 2.25/2.45 0 [] ap(f46(A_27a),V0p)=f45(A_27a,V0p).
% 2.25/2.45 0 [] -ne(A_27a)|c_2Ebool_2ERES__SELECT(A_27a)=f46(A_27a).
% 2.25/2.45 0 [] c_2Ebool_2EBOUNDED=k(bool,c_2Ebool_2ET).
% 2.25/2.45 0 [] -ne(A_27a)|c_2Ebool_2EDATATYPE(A_27a)=k(A_27a,c_2Ebool_2ET).
% 2.25/2.45 0 [] -$T.
% 2.25/2.45 end_of_list.
% 2.25/2.45
% 2.25/2.45 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 2.25/2.45
% 2.25/2.45 This ia a non-Horn set with equality. The strategy will be
% 2.25/2.45 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.25/2.45 deletion, with positive clauses in sos and nonpositive
% 2.25/2.45 clauses in usable.
% 2.25/2.45
% 2.25/2.45 dependent: set(knuth_bendix).
% 2.25/2.45 dependent: set(anl_eq).
% 2.25/2.45 dependent: set(para_from).
% 2.25/2.45 dependent: set(para_into).
% 2.25/2.45 dependent: clear(para_from_right).
% 2.25/2.45 dependent: clear(para_into_right).
% 2.25/2.45 dependent: set(para_from_vars).
% 2.25/2.45 dependent: set(eq_units_both_ways).
% 2.25/2.45 dependent: set(dynamic_demod_all).
% 2.25/2.45 dependent: set(dynamic_demod).
% 2.25/2.45 dependent: set(order_eq).
% 2.25/2.45 dependent: set(back_demod).
% 2.25/2.45 dependent: set(lrpo).
% 2.25/2.45 dependent: set(hyper_res).
% 2.25/2.45 dependent: set(unit_deletion).
% 2.25/2.45 dependent: set(factor).
% 2.25/2.45
% 2.25/2.45 ------------> process usable:
% 2.25/2.45 ** KEPT (pick-wt=8): 1 [] -ne(A)| -ne(B)|ne(arr(A,B)).
% 2.25/2.45 ** KEPT (pick-wt=13): 2 [] -mem(A,arr(B,C))| -mem(D,B)|mem(ap(A,D),C).
% 2.25/2.45 ** KEPT (pick-wt=13): 3 [] -mem(A,bool)| -mem(B,bool)|p(A)|p(B)|A=B.
% 2.25/2.45 ** KEPT (pick-wt=13): 4 [] -mem(A,bool)| -mem(B,bool)| -p(A)| -p(B)|A=B.
% 2.25/2.45 ** KEPT (pick-wt=20): 5 [] -mem(A,arr(B,C))| -mem(D,arr(B,C))|mem($f1(B,C,A,D),B)|A=D.
% 2.25/2.45 ** KEPT (pick-wt=28): 6 [] -mem(A,arr(B,C))| -mem(D,arr(B,C))|ap(A,$f1(B,C,A,D))!=ap(D,$f1(B,C,A,D))|A=D.
% 2.25/2.45 ** KEPT (pick-wt=10): 7 [] -mem(A,B)|ap(k(B,C),A)=C.
% 2.25/2.45 ** KEPT (pick-wt=9): 8 [] -mem(A,B)|ap(i(B),A)=A.
% 2.25/2.45 ** KEPT (pick-wt=10): 9 [] -ne(A)|mem(c_2Emin_2E_3D(A),arr(A,arr(A,bool))).
% 2.25/2.45 ** KEPT (pick-wt=18): 10 [] -ne(A)| -mem(B,A)| -mem(C,A)| -p(ap(ap(c_2Emin_2E_3D(A),B),C))|B=C.
% 2.25/2.45 ** KEPT (pick-wt=18): 11 [] -ne(A)| -mem(B,A)| -mem(C,A)|p(ap(ap(c_2Emin_2E_3D(A),B),C))|B!=C.
% 2.25/2.45 ** KEPT (pick-wt=16): 12 [] -mem(A,bool)| -mem(B,bool)| -p(ap(ap(c_2Emin_2E_3D_3D_3E,A),B))| -p(A)|p(B).
% 2.25/2.45 ** KEPT (pick-wt=14): 13 [] -mem(A,bool)| -mem(B,bool)|p(ap(ap(c_2Emin_2E_3D_3D_3E,A),B))|p(A).
% 2.25/2.45 ** KEPT (pick-wt=14): 14 [] -mem(A,bool)| -mem(B,bool)|p(ap(ap(c_2Emin_2E_3D_3D_3E,A),B))| -p(B).
% 2.25/2.45 ** KEPT (pick-wt=10): 15 [] -ne(A)|mem(c_2Emin_2E_40(A),arr(arr(A,bool),A)).
% 2.25/2.45 ** KEPT (pick-wt=5): 16 [] -ne(A)|ne(ty_2Ebool_2Eitself(A)).
% 2.25/2.45 ** KEPT (pick-wt=10): 17 [] -ne(A)|mem(c_2Ebool_2E_21(A),arr(arr(A,bool),bool)).
% 2.25/2.45 ** KEPT (pick-wt=19): 18 [] -ne(A)| -mem(B,arr(A,bool))| -p(ap(c_2Ebool_2E_21(A),B))| -mem(C,A)|p(ap(B,C)).
% 2.25/2.45 ** KEPT (pick-wt=17): 19 [] -ne(A)| -mem(B,arr(A,bool))|p(ap(c_2Ebool_2E_21(A),B))|mem($f2(A,B),A).
% 2.25/2.45 ** KEPT (pick-wt=18): 20 [] -ne(A)| -mem(B,arr(A,bool))|p(ap(c_2Ebool_2E_21(A),B))| -p(ap(B,$f2(A,B))).
% 2.25/2.45 ** KEPT (pick-wt=14): 21 [] -mem(A,bool)| -mem(B,bool)| -p(ap(ap(c_2Ebool_2E_2F_5C,A),B))|p(A).
% 2.25/2.45 ** KEPT (pick-wt=14): 22 [] -mem(A,bool)| -mem(B,bool)| -p(ap(ap(c_2Ebool_2E_2F_5C,A),B))|p(B).
% 2.25/2.45 ** KEPT (pick-wt=16): 23 [] -mem(A,bool)| -mem(B,bool)|p(ap(ap(c_2Ebool_2E_2F_5C,A),B))| -p(A)| -p(B).
% 2.25/2.45 ** KEPT (pick-wt=10): 24 [] -ne(A)|mem(c_2Ebool_2E_3F(A),arr(arr(A,bool),bool)).
% 2.25/2.45 ** KEPT (pick-wt=17): 25 [] -ne(A)| -mem(B,arr(A,bool))| -p(ap(c_2Ebool_2E_3F(A),B))|mem($f3(A,B),A).
% 2.25/2.45 ** KEPT (pick-wt=18): 26 [] -ne(A)| -mem(B,arr(A,bool))| -p(ap(c_2Ebool_2E_3F(A),B))|p(ap(B,$f3(A,B))).
% 2.25/2.45 ** KEPT (pick-wt=19): 27 [] -ne(A)| -mem(B,arr(A,bool))|p(ap(c_2Ebool_2E_3F(A),B))| -mem(C,A)| -p(ap(B,C)).
% 2.25/2.45 ** KEPT (pick-wt=10): 28 [] -ne(A)|mem(c_2Ebool_2E_3F_21(A),arr(arr(A,bool),bool)).
% 2.25/2.45 ** KEPT (pick-wt=6): 29 [] -ne(A)|mem(c_2Ebool_2EARB(A),A).
% 2.25/2.45 ** KEPT (pick-wt=12): 30 [] -ne(A)|mem(c_2Ebool_2ECOND(A),arr(bool,arr(A,arr(A,A)))).
% 2.25/2.45 ** KEPT (pick-wt=8): 31 [] -ne(A)|mem(c_2Ebool_2EDATATYPE(A),arr(A,bool)).
% 2.25/2.45 ** KEPT (pick-wt=2): 32 [] -p(c_2Ebool_2EF).
% 2.25/2.45 ** KEPT (pick-wt=12): 33 [] -ne(A)|mem(c_2Ebool_2EIN(A),arr(A,arr(arr(A,bool),bool))).
% 2.25/2.45 ** KEPT (pick-wt=15): 34 [] -ne(A)| -ne(B)|mem(c_2Ebool_2ELET(A,B),arr(arr(A,B),arr(A,B))).
% 2.25/2.45 ** KEPT (pick-wt=13): 35 [] -ne(A)| -ne(B)|mem(c_2Ebool_2EONE__ONE(A,B),arr(arr(A,B),bool)).
% 2.25/2.45 ** KEPT (pick-wt=13): 36 [] -ne(A)| -ne(B)|mem(c_2Ebool_2EONTO(A,B),arr(arr(A,B),bool)).
% 2.25/2.45 ** KEPT (pick-wt=19): 37 [] -ne(A)| -ne(B)|mem(c_2Ebool_2ERES__ABSTRACT(A,B),arr(arr(A,bool),arr(arr(A,B),arr(A,B)))).
% 2.25/2.45 ** KEPT (pick-wt=14): 38 [] -ne(A)|mem(c_2Ebool_2ERES__EXISTS(A),arr(arr(A,bool),arr(arr(A,bool),bool))).
% 2.25/2.45 ** KEPT (pick-wt=14): 39 [] -ne(A)|mem(c_2Ebool_2ERES__EXISTS__UNIQUE(A),arr(arr(A,bool),arr(arr(A,bool),bool))).
% 2.25/2.45 ** KEPT (pick-wt=14): 40 [] -ne(A)|mem(c_2Ebool_2ERES__FORALL(A),arr(arr(A,bool),arr(arr(A,bool),bool))).
% 2.25/2.45 ** KEPT (pick-wt=14): 41 [] -ne(A)|mem(c_2Ebool_2ERES__SELECT(A),arr(arr(A,bool),arr(arr(A,bool),A))).
% 2.25/2.45 ** KEPT (pick-wt=17): 42 [] -ne(A)| -ne(B)|mem(c_2Ebool_2ETYPE__DEFINITION(A,B),arr(arr(A,bool),arr(arr(B,A),bool))).
% 2.25/2.45 ** KEPT (pick-wt=16): 43 [] -mem(A,bool)| -mem(B,bool)| -p(ap(ap(c_2Ebool_2E_5C_2F,A),B))|p(A)|p(B).
% 2.25/2.45 ** KEPT (pick-wt=14): 44 [] -mem(A,bool)| -mem(B,bool)|p(ap(ap(c_2Ebool_2E_5C_2F,A),B))| -p(A).
% 2.25/2.45 ** KEPT (pick-wt=14): 45 [] -mem(A,bool)| -mem(B,bool)|p(ap(ap(c_2Ebool_2E_5C_2F,A),B))| -p(B).
% 2.25/2.45 ** KEPT (pick-wt=14): 46 [] -ne(A)| -ne(B)|mem(c_2Ebool_2Eitself__case(A,B),arr(ty_2Ebool_2Eitself(A),arr(B,B))).
% 2.25/2.45 ** KEPT (pick-wt=15): 47 [] -ne(A)| -ne(B)|mem(c_2Ebool_2Eliteral__case(A,B),arr(arr(A,B),arr(A,B))).
% 2.25/2.45 ** KEPT (pick-wt=7): 48 [] -ne(A)|mem(c_2Ebool_2Ethe__value(A),ty_2Ebool_2Eitself(A)).
% 2.25/2.45 ** KEPT (pick-wt=9): 49 [] -mem(A,bool)| -p(ap(c_2Ebool_2E_7E,A))| -p(A).
% 2.25/2.45 ** KEPT (pick-wt=9): 50 [] -mem(A,bool)|p(ap(c_2Ebool_2E_7E,A))|p(A).
% 2.25/2.45 ** KEPT (pick-wt=5): 52 [copy,51,propositional] i(bool)=i(bool).
% 2.25/2.45 ** KEPT (pick-wt=7): 54 [copy,53,flip.2] -ne(A)|f1(A)=c_2Ebool_2E_21(A).
% 2.25/2.45 ** KEPT (pick-wt=7): 56 [copy,55,flip.2] -ne(A)|f2(A)=c_2Ebool_2E_3F(A).
% 2.25/2.45 ** KEPT (pick-wt=25): 57 [] -mem(A,bool)| -mem(B,bool)|ap(f3(A,B),C)=ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D_3D_3E,B),ap(ap(c_2Emin_2E_3D_3D_3E,A),C))),C).
% 2.25/2.45 ** KEPT (pick-wt=14): 58 [] -mem(A,bool)|ap(f4(A),B)=ap(c_2Ebool_2E_21(bool),f3(B,A)).
% 2.25/2.45 ** KEPT (pick-wt=29): 59 [] -mem(A,bool)| -mem(B,bool)|ap(f6(A,B),C)=ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D_3D_3E,A),C)),ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D_3D_3E,B),C)),C)).
% 2.25/2.45 ** KEPT (pick-wt=14): 60 [] -mem(A,bool)|ap(f7(A),B)=ap(c_2Ebool_2E_21(bool),f6(A,B)).
% 2.25/2.45 ** KEPT (pick-wt=2): 62 [copy,61,propositional] -p($c1).
% 2.25/2.45 ** KEPT (pick-wt=33): 63 [] -mem(A,arr(B,bool))| -mem(C,B)|ap(f10(B,A,C),D)=ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Ebool_2E_2F_5C,ap(A,C)),ap(A,D))),ap(ap(c_2Emin_2E_3D(B),C),D)).
% 2.25/2.45 ** KEPT (pick-wt=18): 64 [] -mem(A,arr(B,bool))|ap(f11(B,A),C)=ap(c_2Ebool_2E_21(B),f10(B,A,C)).
% 2.25/2.45 ** KEPT (pick-wt=7): 66 [copy,65,flip.2] -ne(A)|f12(A)=c_2Ebool_2E_3F_21(A).
% 2.25/2.45 ** KEPT (pick-wt=15): 67 [] -mem(A,arr(B,C))|ap(f13(C,B,A),D)=ap(A,D).
% 2.25/2.45 ** KEPT (pick-wt=11): 69 [copy,68,flip.3] -ne(A)| -ne(B)|f14(B,A)=c_2Ebool_2ELET(A,B).
% 2.25/2.45 ** KEPT (pick-wt=50): 70 [] -mem(A,B)| -mem(C,B)| -mem(D,bool)|ap(f15(B,A,C,D),E)=ap(ap(c_2Ebool_2E_2F_5C,ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D(bool),D),c_2Ebool_2ET)),ap(ap(c_2Emin_2E_3D(B),E),A))),ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D(bool),D),c_2Ebool_2EF)),ap(ap(c_2Emin_2E_3D(B),E),C))).
% 2.25/2.45 ** KEPT (pick-wt=21): 71 [] -mem(A,bool)| -mem(B,C)|ap(f16(C,A,B),D)=ap(c_2Emin_2E_40(C),f15(C,B,D,A)).
% 2.25/2.45 ** KEPT (pick-wt=13): 72 [] -mem(A,bool)|ap(f17(B,A),C)=f16(B,A,C).
% 2.25/2.45 ** KEPT (pick-wt=7): 74 [copy,73,flip.2] -ne(A)|f18(A)=c_2Ebool_2ECOND(A).
% 2.25/2.45 ** KEPT (pick-wt=35): 75 [] -mem(A,arr(B,C))| -mem(D,B)|ap(f19(C,B,A,D),E)=ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D(C),ap(A,D)),ap(A,E))),ap(ap(c_2Emin_2E_3D(B),D),E)).
% 2.25/2.45 ** KEPT (pick-wt=20): 76 [] -mem(A,arr(B,C))|ap(f20(C,B,A),D)=ap(c_2Ebool_2E_21(B),f19(C,B,A,D)).
% 2.25/2.45 ** KEPT (pick-wt=11): 78 [copy,77,flip.3] -ne(A)| -ne(B)|f21(B,A)=c_2Ebool_2EONE__ONE(A,B).
% 2.25/2.45 ** KEPT (pick-wt=24): 79 [] -mem(A,arr(B,C))| -mem(D,C)|ap(f22(C,B,A,D),E)=ap(ap(c_2Emin_2E_3D(C),D),ap(A,E)).
% 2.25/2.45 ** KEPT (pick-wt=20): 80 [] -mem(A,arr(B,C))|ap(f23(B,C,A),D)=ap(c_2Ebool_2E_3F(B),f22(C,B,A,D)).
% 2.25/2.45 ** KEPT (pick-wt=11): 82 [copy,81,flip.3] -ne(A)| -ne(B)|f24(A,B)=c_2Ebool_2EONTO(A,B).
% 2.25/2.45 ** KEPT (pick-wt=35): 83 [] -mem(A,arr(B,C))| -mem(D,B)|ap(f25(C,B,A,D),E)=ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Emin_2E_3D(C),ap(A,D)),ap(A,E))),ap(ap(c_2Emin_2E_3D(B),D),E)).
% 2.25/2.45 ** KEPT (pick-wt=20): 84 [] -mem(A,arr(B,C))|ap(f26(C,B,A),D)=ap(c_2Ebool_2E_21(B),f25(C,B,A,D)).
% 2.25/2.45 ** KEPT (pick-wt=24): 85 [] -mem(A,arr(B,C))| -mem(D,C)|ap(f27(C,B,A,D),E)=ap(ap(c_2Emin_2E_3D(C),D),ap(A,E)).
% 2.25/2.45 ** KEPT (pick-wt=33): 86 [] -mem(A,arr(B,bool))| -mem(C,arr(D,B))|ap(f28(D,B,A,C),E)=ap(ap(c_2Emin_2E_3D(bool),ap(A,E)),ap(c_2Ebool_2E_3F(D),f27(B,D,C,E))).
% 2.25/2.45 ** KEPT (pick-wt=30): 87 [] -mem(A,arr(B,bool))|ap(f29(C,B,A),D)=ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_21(C),f26(B,C,D))),ap(c_2Ebool_2E_21(B),f28(C,B,A,D))).
% 2.25/2.45 ** KEPT (pick-wt=11): 89 [copy,88,flip.3] -ne(A)| -ne(B)|f30(B,A)=c_2Ebool_2ETYPE__DEFINITION(A,B).
% 2.25/2.45 ** KEPT (pick-wt=15): 90 [] -mem(A,arr(B,C))|ap(f31(C,B,A),D)=ap(A,D).
% 2.25/2.45 ** KEPT (pick-wt=15): 91 [] -ne(A)| -ne(B)| -mem(C,arr(A,B))|f31(B,A,C)=C.
% 2.25/2.45 ** KEPT (pick-wt=21): 92 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,A)| -p(ap(B,C))|p(ap(B,ap(c_2Emin_2E_40(A),B))).
% 2.25/2.45 ** KEPT (pick-wt=6): 93 [] -p(ap(c_2Ebool_2EONTO(ind,ind),$c2)).
% 2.25/2.45 ** KEPT (pick-wt=11): 95 [copy,94,flip.3] -ne(A)| -ne(B)|f14(B,A)=c_2Ebool_2Eliteral__case(A,B).
% 2.25/2.45 ** KEPT (pick-wt=12): 96 [] -mem(A,B)|ap(f32(B,A),C)=ap(C,A).
% 2.25/2.45 ** KEPT (pick-wt=7): 98 [copy,97,flip.2] -ne(A)|f33(A)=c_2Ebool_2EIN(A).
% 2.25/2.45 ** KEPT (pick-wt=29): 99 [] -mem(A,arr(B,bool))| -mem(C,arr(B,bool))|ap(f34(B,A,C),D)=ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Ebool_2EIN(B),D),A)),ap(C,D)).
% 2.25/2.45 ** KEPT (pick-wt=18): 100 [] -mem(A,arr(B,bool))|ap(f35(B,A),C)=ap(c_2Ebool_2E_21(B),f34(B,A,C)).
% 2.25/2.45 ** KEPT (pick-wt=7): 102 [copy,101,flip.2] -ne(A)|f36(A)=c_2Ebool_2ERES__FORALL(A).
% 2.25/2.45 ** KEPT (pick-wt=29): 103 [] -mem(A,arr(B,bool))| -mem(C,arr(B,bool))|ap(f37(B,A,C),D)=ap(ap(c_2Ebool_2E_2F_5C,ap(ap(c_2Ebool_2EIN(B),D),A)),ap(C,D)).
% 2.25/2.45 ** KEPT (pick-wt=18): 104 [] -mem(A,arr(B
% 2.25/2.45 -------- PROOF --------
% 2.25/2.45 ,bool))|ap(f38(B,A),C)=ap(c_2Ebool_2E_3F(B),f37(B,A,C)).
% 2.25/2.45 ** KEPT (pick-wt=7): 106 [copy,105,flip.2] -ne(A)|f39(A)=c_2Ebool_2ERES__EXISTS(A).
% 2.25/2.45 ** KEPT (pick-wt=14): 107 [] -mem(A,arr(B,bool))|ap(f40(B,A),C)=ap(A,C).
% 2.25/2.45 ** KEPT (pick-wt=33): 108 [] -mem(A,arr(B,bool))| -mem(C,B)|ap(f41(B,A,C),D)=ap(ap(c_2Emin_2E_3D_3D_3E,ap(ap(c_2Ebool_2E_2F_5C,ap(A,C)),ap(A,D))),ap(ap(c_2Emin_2E_3D(B),C),D)).
% 2.25/2.45 ** KEPT (pick-wt=26): 109 [] -mem(A,arr(B,bool))| -mem(C,arr(B,bool))|ap(f42(B,A,C),D)=ap(ap(c_2Ebool_2ERES__FORALL(B),C),f41(B,A,D)).
% 2.25/2.45 ** KEPT (pick-wt=31): 110 [] -mem(A,arr(B,bool))|ap(f43(B,A),C)=ap(ap(c_2Ebool_2E_2F_5C,ap(ap(c_2Ebool_2ERES__EXISTS(B),A),f40(B,C))),ap(ap(c_2Ebool_2ERES__FORALL(B),A),f42(B,C,A))).
% 2.25/2.45 ** KEPT (pick-wt=7): 112 [copy,111,flip.2] -ne(A)|f44(A)=c_2Ebool_2ERES__EXISTS__UNIQUE(A).
% 2.25/2.45 ** KEPT (pick-wt=18): 113 [] -mem(A,arr(B,bool))|ap(f45(B,A),C)=ap(c_2Emin_2E_40(B),f37(B,A,C)).
% 2.25/2.45 ** KEPT (pick-wt=7): 115 [copy,114,flip.2] -ne(A)|f46(A)=c_2Ebool_2ERES__SELECT(A).
% 2.25/2.45 ** KEPT (pick-wt=8): 116 [] -ne(A)|c_2Ebool_2EDATATYPE(A)=k(A,c_2Ebool_2ET).
% 2.25/2.45 ** KEPT (pick-wt=0): 118 [copy,117,propositional] $F.
% 2.25/2.45
% 2.25/2.45 -----> EMPTY CLAUSE at 0.02 sec ----> 118 [copy,117,propositional] $F.
% 2.25/2.45
% 2.25/2.45 Length of proof is 0. Level of proof is 0.
% 2.25/2.45
% 2.25/2.45 ---------------- PROOF ----------------
% 2.25/2.45 % SZS status Theorem
% 2.25/2.45 % SZS output start Refutation
% See solution above
% 2.25/2.45 ------------ end of proof -------------
% 2.25/2.45
% 2.25/2.45
% 2.25/2.45 Search stopped by max_proofs option.
% 2.25/2.45
% 2.25/2.45
% 2.25/2.45 Search stopped by max_proofs option.
% 2.25/2.45
% 2.25/2.45 ============ end of search ============
% 2.25/2.45
% 2.25/2.45 -------------- statistics -------------
% 2.25/2.45 clauses given 0
% 2.25/2.45 clauses generated 0
% 2.25/2.45 clauses kept 100
% 2.25/2.45 clauses forward subsumed 0
% 2.25/2.45 clauses back subsumed 0
% 2.25/2.45 Kbytes malloced 3906
% 2.25/2.45
% 2.25/2.45 ----------- times (seconds) -----------
% 2.25/2.45 user CPU time 0.02 (0 hr, 0 min, 0 sec)
% 2.25/2.45 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.25/2.45 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.25/2.45
% 2.25/2.45 That finishes the proof of the theorem.
% 2.25/2.45
% 2.25/2.45 Process 22751 finished Wed Jul 27 02:52:09 2022
% 2.25/2.45 Otter interrupted
% 2.25/2.45 PROOF FOUND
%------------------------------------------------------------------------------