TSTP Solution File: ITP007+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : ITP007+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n026.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 12:58:57 EDT 2022
% Result : Unknown 3.11s 3.27s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP007+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n026.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 02:57:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.95/3.13 ----- Otter 3.3f, August 2004 -----
% 2.95/3.13 The process was started by sandbox2 on n026.cluster.edu,
% 2.95/3.13 Wed Jul 27 02:57:24 2022
% 2.95/3.13 The command was "./otter". The process ID is 11549.
% 2.95/3.13
% 2.95/3.13 set(prolog_style_variables).
% 2.95/3.13 set(auto).
% 2.95/3.13 dependent: set(auto1).
% 2.95/3.13 dependent: set(process_input).
% 2.95/3.13 dependent: clear(print_kept).
% 2.95/3.13 dependent: clear(print_new_demod).
% 2.95/3.13 dependent: clear(print_back_demod).
% 2.95/3.13 dependent: clear(print_back_sub).
% 2.95/3.13 dependent: set(control_memory).
% 2.95/3.13 dependent: assign(max_mem, 12000).
% 2.95/3.13 dependent: assign(pick_given_ratio, 4).
% 2.95/3.13 dependent: assign(stats_level, 1).
% 2.95/3.13 dependent: assign(max_seconds, 10800).
% 2.95/3.13 clear(print_given).
% 2.95/3.13
% 2.95/3.13 formula_list(usable).
% 2.95/3.13 all A (A=A).
% 2.95/3.13 ne(bool).
% 2.95/3.13 ne(ind).
% 2.95/3.13 all A (ne(A)-> (all B (ne(B)->ne(arr(A,B))))).
% 2.95/3.13 all A B F (mem(F,arr(A,B))-> (all X (mem(X,A)->mem(ap(F,X),B)))).
% 2.95/3.13 all Q (mem(Q,bool)-> (all R (mem(R,bool)-> ((p(Q)<->p(R))->Q=R)))).
% 2.95/3.13 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)))).
% 2.95/3.13 all A Y X (mem(X,A)->ap(k(A,Y),X)=Y).
% 2.95/3.13 all A X (mem(X,A)->ap(i(A),X)=X).
% 2.95/3.13 mem(c_2Ebool_2ET,bool).
% 2.95/3.13 p(c_2Ebool_2ET).
% 2.95/3.13 all A_27a (ne(A_27a)->mem(c_2Emin_2E_40(A_27a),arr(arr(A_27a,bool),A_27a))).
% 2.95/3.13 all A0 (ne(A0)->ne(ty_2Eoption_2Eoption(A0))).
% 2.95/3.13 all A_27a (ne(A_27a)->mem(c_2Eoption_2ESOME(A_27a),arr(A_27a,ty_2Eoption_2Eoption(A_27a)))).
% 2.95/3.13 all A_27a (ne(A_27a)->mem(c_2Ebool_2E_3F(A_27a),arr(arr(A_27a,bool),bool))).
% 2.95/3.13 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)))))))).
% 2.95/3.13 all A_27a (ne(A_27a)->mem(c_2Ebool_2ECOND(A_27a),arr(bool,arr(A_27a,arr(A_27a,A_27a))))).
% 2.95/3.13 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)->mem(c_2Eoption_2EOPTION__MAP(A_27a,A_27b),arr(arr(A_27a,A_27b),arr(ty_2Eoption_2Eoption(A_27a),ty_2Eoption_2Eoption(A_27b))))))).
% 2.95/3.13 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)-> (all A_27c (ne(A_27c)->mem(c_2EpatternMatches_2EPMATCH__ROW(A_27a,A_27b,A_27c),arr(arr(A_27b,A_27c),arr(arr(A_27b,bool),arr(arr(A_27b,A_27a),arr(A_27c,ty_2Eoption_2Eoption(A_27a))))))))))).
% 2.95/3.13 all A_27a (ne(A_27a)->mem(c_2Eoption_2ENONE(A_27a),ty_2Eoption_2Eoption(A_27a))).
% 2.95/3.13 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)->mem(c_2EpatternMatches_2EPMATCH__ROW__COND(A_27a,A_27b),arr(arr(A_27a,A_27b),arr(arr(A_27a,bool),arr(A_27b,arr(A_27a,bool)))))))).
% 2.95/3.13 all A_27a (ne(A_27a)->mem(c_2Eoption_2Esome(A_27a),arr(arr(A_27a,bool),ty_2Eoption_2Eoption(A_27a)))).
% 2.95/3.13 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)->mem(c_2Eoption_2Eoption__CASE(A_27a,A_27b),arr(ty_2Eoption_2Eoption(A_27a),arr(A_27b,arr(arr(A_27a,A_27b),A_27b))))))).
% 2.95/3.13 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)-> (all A_27c (ne(A_27c)->mem(c_2EpatternMatches_2EPMATCH__FLATTEN__FUN(A_27a,A_27b,A_27c),arr(arr(A_27b,A_27c),arr(arr(A_27b,bool),arr(arr(A_27b,arr(A_27b,ty_2Eoption_2Eoption(A_27a))),arr(A_27c,ty_2Eoption_2Eoption(A_27a))))))))))).
% 2.95/3.13 mem(c_2Ebool_2EF,bool).
% 2.95/3.13 -p(c_2Ebool_2EF).
% 2.95/3.13 mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))).
% 2.95/3.13 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)))))).
% 2.95/3.13 mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool))).
% 2.95/3.13 all Q (mem(Q,bool)-> (all R (mem(R,bool)-> (p(ap(ap(c_2Ebool_2E_5C_2F,Q),R))<->p(Q)|p(R))))).
% 2.95/3.13 mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))).
% 2.95/3.13 all Q (mem(Q,bool)-> (all R (mem(R,bool)-> (p(ap(ap(c_2Ebool_2E_2F_5C,Q),R))<->p(Q)&p(R))))).
% 2.95/3.13 mem(c_2Ebool_2E_7E,arr(bool,bool)).
% 2.95/3.13 all Q (mem(Q,bool)-> (p(ap(c_2Ebool_2E_7E,Q))<-> -p(Q))).
% 2.95/3.13 all A_27a (ne(A_27a)->mem(c_2Emin_2E_3D(A_27a),arr(A_27a,arr(A_27a,bool)))).
% 2.95/3.13 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)))))).
% 2.95/3.13 all A_27a (ne(A_27a)->mem(c_2Ebool_2E_21(A_27a),arr(arr(A_27a,bool),bool))).
% 2.95/3.13 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)))))))).
% 2.95/3.13 all V0t (mem(V0t,bool)-> (p(V0t)<->$T)| (p(V0t)<->$F)).
% 2.95/3.13 $T.
% 2.95/3.13 all V0t1 (mem(V0t1,bool)-> (all V1t2 (mem(V1t2,bool)-> ((p(V0t1)->p(V1t2))-> ((p(V1t2)->p(V0t1))-> (p(V0t1)<->p(V1t2))))))).
% 2.95/3.13 all V0t (mem(V0t,bool)-> ($F->p(V0t))).
% 2.95/3.13 all V0t (mem(V0t,bool)->p(V0t)| -p(V0t)).
% 2.95/3.13 all A_27a (ne(A_27a)-> (all V0t (mem(V0t,bool)-> ((all V1x (mem(V1x,A_27a)->p(V0t)))<->p(V0t))))).
% 2.95/3.13 all V0t (mem(V0t,bool)-> (-p(V0t)-> -p(V0t))).
% 2.95/3.13 all V0t (mem(V0t,bool)-> (-p(V0t)-> -p(V0t))).
% 2.95/3.13 all V0t (mem(V0t,bool)-> (p(V0t)<->p(V0t))& (p(V0t)<->p(V0t))& ($F&p(V0t)<->$F)& (p(V0t)&$F<->$F)& (p(V0t)&p(V0t)<->p(V0t))).
% 2.95/3.13 all V0t (mem(V0t,bool)-> ($T|p(V0t)<->$T)& (p(V0t)|$T<->$T)& (p(V0t)<->p(V0t))& (p(V0t)<->p(V0t))& (p(V0t)|p(V0t)<->p(V0t))).
% 2.95/3.13 all V0t (mem(V0t,bool)-> (p(V0t)<->p(V0t))& ((p(V0t)->$T)<->$T)& (($F->p(V0t))<->$T)& ((p(V0t)->p(V0t))<->$T)& (-p(V0t)<-> -p(V0t))).
% 2.95/3.13 all V0t (mem(V0t,bool)-> (-(-p(V0t))<->p(V0t))).
% 2.95/3.13 -$T<->$F.
% 2.95/3.13 -$F<->$T.
% 2.95/3.13 all A_27a (ne(A_27a)-> (all V0x (mem(V0x,A_27a)-> (V0x=V0x<->$T)))).
% 2.95/3.13 all A_27a (ne(A_27a)-> (all V0x (mem(V0x,A_27a)-> (all V1y (mem(V1y,A_27a)-> (V0x=V1y<->V1y=V0x)))))).
% 2.95/3.13 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)-> (all V0f (mem(V0f,arr(A_27a,A_27b))-> (all V1g (mem(V1g,arr(A_27a,A_27b))-> (V0f=V1g<-> (all V2x (mem(V2x,A_27a)->ap(V0f,V2x)=ap(V1g,V2x))))))))))).
% 2.95/3.13 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))).
% 2.95/3.13 all A_27a (ne(A_27a)-> (all V0P (mem(V0P,arr(A_27a,bool))-> (all V1Q (mem(V1Q,arr(A_27a,bool))-> ((exists V2x (mem(V2x,A_27a)&p(ap(V0P,V2x))))& (all V3x (mem(V3x,A_27a)-> (p(ap(V0P,V3x))->p(ap(V1Q,V3x)))))->p(ap(V1Q,ap(c_2Emin_2E_40(A_27a),V0P))))))))).
% 2.95/3.13 all A_27a (ne(A_27a)-> (all V0P (mem(V0P,arr(A_27a,bool))-> (-(all V1x (mem(V1x,A_27a)->p(ap(V0P,V1x))))<-> (exists V2x (mem(V2x,A_27a)& -p(ap(V0P,V2x)))))))).
% 2.95/3.13 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)))))))).
% 2.95/3.13 all V0A (mem(V0A,bool)-> (all V1B (mem(V1B,bool)-> (all V2C (mem(V2C,bool)-> (p(V0A)|p(V1B)|p(V2C)<->p(V0A)|p(V1B)|p(V2C))))))).
% 2.95/3.13 all V0A (mem(V0A,bool)-> (all V1B (mem(V1B,bool)-> (p(V0A)|p(V1B)<->p(V1B)|p(V0A))))).
% 2.95/3.13 all V0A (mem(V0A,bool)-> (all V1B (mem(V1B,bool)-> (p(V0A)|p(V1B)<->p(V1B)|p(V0A))))).
% 2.95/3.13 all V0A (mem(V0A,bool)-> (all V1B (mem(V1B,bool)-> (-(p(V0A)&p(V1B))<-> -p(V0A)| -p(V1B))& (-(p(V0A)|p(V1B))<-> -p(V0A)& -p(V1B))))).
% 2.95/3.13 all V0A (mem(V0A,bool)-> (all V1B (mem(V1B,bool)-> ((p(V0A)->p(V1B))<-> -p(V0A)|p(V1B))))).
% 2.95/3.13 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)))))))).
% 2.95/3.13 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))))))))))).
% 2.95/3.13 all V0P (mem(V0P,bool)-> (all V1P_27 (mem(V1P_27,bool)-> (all V2Q (mem(V2Q,bool)-> (all V3Q_27 (mem(V3Q_27,bool)-> ((p(V2Q)-> (p(V0P)<->p(V1P_27)))& (p(V1P_27)-> (p(V2Q)<->p(V3Q_27)))-> (p(V0P)&p(V2Q)<->p(V1P_27)&p(V3Q_27)))))))))).
% 2.95/3.13 all A_27a (ne(A_27a)-> (all V0f (mem(V0f,arr(A_27a,bool))-> (all V1v (mem(V1v,A_27a)-> ((all V2x (mem(V2x,A_27a)-> (V2x=V1v->p(ap(V0f,V2x)))))<->p(ap(V0f,V1v)))))))).
% 2.95/3.13 all A_27a (ne(A_27a)-> (all V0opt (mem(V0opt,ty_2Eoption_2Eoption(A_27a))->V0opt=c_2Eoption_2ENONE(A_27a)| (exists V1x (mem(V1x,A_27a)&V0opt=ap(c_2Eoption_2ESOME(A_27a),V1x)))))).
% 2.95/3.13 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)-> (all V0v (mem(V0v,A_27b)-> (all V1f (mem(V1f,arr(A_27a,A_27b))->ap(ap(ap(c_2Eoption_2Eoption__CASE(A_27a,A_27b),c_2Eoption_2ENONE(A_27a)),V0v),V1f)=V0v))))& (all V2x (mem(V2x,A_27a)-> (all V3v (mem(V3v,A_27b)-> (all V4f (mem(V4f,arr(A_27a,A_27b))->ap(ap(ap(c_2Eoption_2Eoption__CASE(A_27a,A_27b),ap(c_2Eoption_2ESOME(A_27a),V2x)),V3v),V4f)=ap(V4f,V2x)))))))))).
% 2.95/3.13 all A_27a (ne(A_27a)-> (all V0x (mem(V0x,A_27a)-> (all V1y (mem(V1y,A_27a)-> (ap(c_2Eoption_2ESOME(A_27a),V0x)=ap(c_2Eoption_2ESOME(A_27a),V1y)<->V0x=V1y)))))).
% 2.95/3.13 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)-> (all V0f (mem(V0f,arr(A_27a,A_27b))-> (all V1x (mem(V1x,A_27a)->ap(ap(c_2Eoption_2EOPTION__MAP(A_27a,A_27b),V0f),ap(c_2Eoption_2ESOME(A_27a),V1x))=ap(c_2Eoption_2ESOME(A_27b),ap(V0f,V1x))))))& (all V2f (mem(V2f,arr(A_27a,A_27b))->ap(ap(c_2Eoption_2EOPTION__MAP(A_27a,A_27b),V2f),c_2Eoption_2ENONE(A_27a))=c_2Eoption_2ENONE(A_27b)))))).
% 2.95/3.13 all A_27a (ne(A_27a)-> (all V0P (mem(V0P,bool)-> (all V1x (mem(V1x,A_27a)-> (all V2y (mem(V2y,A_27a)-> (ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A_27a)),V0P),ap(c_2Eoption_2ESOME(A_27a),V1x)),c_2Eoption_2ENONE(A_27a))=c_2Eoption_2ENONE(A_27a)<-> -p(V0P))& (ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A_27a)),V0P),c_2Eoption_2ENONE(A_27a)),ap(c_2Eoption_2ESOME(A_27a),V1x))=c_2Eoption_2ENONE(A_27a)<->p(V0P))& (ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A_27a)),V0P),ap(c_2Eoption_2ESOME(A_27a),V1x)),c_2Eoption_2ENONE(A_27a))=ap(c_2Eoption_2ESOME(A_27a),V2y)<->p(V0P)&V1x=V2y)& (ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A_27a)),V0P),c_2Eoption_2ENONE(A_27a)),ap(c_2Eoption_2ESOME(A_27a),V1x))=ap(c_2Eoption_2ESOME(A_27a),V2y)<-> -p(V0P)&V1x=V2y)))))))).
% 2.95/3.13 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)-> (all V0f (mem(V0f,arr(A_27b,A_27a))-> (all V1x (mem(V1x,ty_2Eoption_2Eoption(A_27b))-> (ap(ap(c_2Eoption_2EOPTION__MAP(A_27b,A_27a),V0f),V1x)=c_2Eoption_2ENONE(A_27a)<->V1x=c_2Eoption_2ENONE(A_27b))& (c_2Eoption_2ENONE(A_27a)=ap(ap(c_2Eoption_2EOPTION__MAP(A_27b,A_27a),V0f),V1x)<->V1x=c_2Eoption_2ENONE(A_27b))))))))).
% 2.95/3.13 all A_27a (ne(A_27a)-> (all V0P (mem(V0P,arr(A_27a,bool))->ap(c_2Eoption_2Esome(A_27a),V0P)=ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A_27a)),ap(c_2Ebool_2E_3F(A_27a),f49(A_27a,V0P))),ap(c_2Eoption_2ESOME(A_27a),ap(c_2Emin_2E_40(A_27a),f108(A_27a,V0P)))),c_2Eoption_2ENONE(A_27a))))).
% 2.95/3.13 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)-> (all V0pat (mem(V0pat,arr(A_27a,A_27b))-> (all V1guard (mem(V1guard,arr(A_27a,bool))-> (all V2inp (mem(V2inp,A_27b)-> (all V3v (mem(V3v,A_27a)-> (p(ap(ap(ap(ap(c_2EpatternMatches_2EPMATCH__ROW__COND(A_27a,A_27b),V0pat),V1guard),V2inp),V3v))<->ap(V0pat,V3v)=V2inp&p(ap(V1guard,V3v)))))))))))))).
% 2.95/3.13 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)-> (all A_27c (ne(A_27c)-> (all V0pat (mem(V0pat,arr(A_27b,A_27c))-> (all V1guard (mem(V1guard,arr(A_27b,bool))-> (all V2rhs (mem(V2rhs,arr(A_27b,A_27a))-> (all V3i (mem(V3i,A_27c)->ap(ap(ap(ap(c_2EpatternMatches_2EPMATCH__ROW(A_27a,A_27b,A_27c),V0pat),V1guard),V2rhs),V3i)=ap(ap(c_2Eoption_2EOPTION__MAP(A_27b,A_27a),V2rhs),ap(c_2Eoption_2Esome(A_27b),f822(A_27c,A_27b,V3i,V0pat,V1guard)))))))))))))))).
% 2.95/3.13 all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)-> (all A_27c (ne(A_27c)-> (all V0p (mem(V0p,arr(A_27b,A_27c))-> (all V1g (mem(V1g,arr(A_27b,bool))-> (all V2row (mem(V2row,arr(A_27b,arr(A_27b,ty_2Eoption_2Eoption(A_27a))))-> (all V3v (mem(V3v,A_27c)->ap(ap(ap(ap(c_2EpatternMatches_2EPMATCH__FLATTEN__FUN(A_27a,A_27b,A_27c),V0p),V1g),V2row),V3v)=ap(ap(ap(c_2Eoption_2Eoption__CASE(A_27b,ty_2Eoption_2Eoption(A_27a)),ap(c_2Eoption_2Esome(A_27b),f850(A_27c,A_27b,V3v,V0p,V1g))),c_2Eoption_2ENONE(A_27a)),f851(A_27a,A_27b,V2row))))))))))))))).
% 2.95/3.13 all V0t (mem(V0t,bool)-> (-(-p(V0t))<->p(V0t))).
% 2.95/3.13 all V0A (mem(V0A,bool)-> (p(V0A)-> -(-p(V0A)))).
% 2.95/3.13 all V0A (mem(V0A,bool)-> (all V1B (mem(V1B,bool)-> (-(-(p(V0A)|p(V1B)))<-> (-p(V0A)-> -(-p(V1B))))))).
% 2.95/3.13 all V0A (mem(V0A,bool)-> (all V1B (mem(V1B,bool)-> (-(-(-p(V0A)|p(V1B)))<-> (p(V0A)-> -(-p(V1B))))))).
% 2.95/3.13 all V0A (mem(V0A,bool)-> (-(-p(V0A))-> -(-p(V0A)))).
% 2.95/3.13 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)))))))).
% 2.95/3.13 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)))))))).
% 2.95/3.13 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)))))))).
% 2.95/3.13 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)))))))).
% 2.95/3.13 all V0p (mem(V0p,bool)-> (all V1q (mem(V1q,bool)-> ((p(V0p)<-> -p(V1q))<-> (p(V0p)|p(V1q))& (-p(V1q)| -p(V0p)))))).
% 2.95/3.13 -(all A_27a (ne(A_27a)-> (all A_27b (ne(A_27b)-> (all A_27c (ne(A_27c)-> (all A_27d (ne(A_27d)-> (all V0p (mem(V0p,arr(A_27a,A_27b))-> ((all V1x1 (mem(V1x1,A_27a)-> (all V2x2 (mem(V2x2,A_27a)-> (ap(V0p,V1x1)=ap(V0p,V2x2)->V1x1=V2x2)))))-> (all V3g (mem(V3g,arr(A_27a,bool))-> (all V4p_27 (mem(V4p_27,arr(A_27c,A_27a))-> (all V5g_27 (mem(V5g_27,arr(A_27a,arr(A_27c,bool)))-> (all V6r_27 (mem(V6r_27,arr(A_27a,arr(A_27c,A_27d)))->ap(ap(ap(c_2EpatternMatches_2EPMATCH__FLATTEN__FUN(A_27d,A_27a,A_27b),V0p),V3g),f859(A_27d,A_27c,A_27a,V4p_27,V5g_27,V6r_27))=ap(ap(ap(c_2EpatternMatches_2EPMATCH__ROW(A_27d,A_27c,A_27b),f860(A_27a,A_27b,A_27c,V4p_27,V0p)),f861(A_27a,A_27c,V3g,V5g_27,V4p_27)),f862(A_27d,A_27a,A_27c,V6r_27,V4p_27))))))))))))))))))))).
% 2.95/3.13 end_of_list.
% 2.95/3.13
% 2.95/3.13 -------> usable clausifies to:
% 2.95/3.13
% 2.95/3.13 list(usable).
% 2.95/3.13 0 [] A=A.
% 2.95/3.13 0 [] ne(bool).
% 2.95/3.13 0 [] ne(ind).
% 2.95/3.13 0 [] -ne(A)| -ne(B)|ne(arr(A,B)).
% 2.95/3.13 0 [] -mem(F,arr(A,B))| -mem(X,A)|mem(ap(F,X),B).
% 2.95/3.13 0 [] -mem(Q,bool)| -mem(R,bool)|p(Q)|p(R)|Q=R.
% 2.95/3.13 0 [] -mem(Q,bool)| -mem(R,bool)| -p(Q)| -p(R)|Q=R.
% 2.95/3.13 0 [] -mem(F,arr(A,B))| -mem(G,arr(A,B))|mem($f1(A,B,F,G),A)|F=G.
% 2.95/3.13 0 [] -mem(F,arr(A,B))| -mem(G,arr(A,B))|ap(F,$f1(A,B,F,G))!=ap(G,$f1(A,B,F,G))|F=G.
% 2.95/3.13 0 [] -mem(X,A)|ap(k(A,Y),X)=Y.
% 2.95/3.13 0 [] -mem(X,A)|ap(i(A),X)=X.
% 2.95/3.13 0 [] mem(c_2Ebool_2ET,bool).
% 2.95/3.13 0 [] p(c_2Ebool_2ET).
% 2.95/3.13 0 [] -ne(A_27a)|mem(c_2Emin_2E_40(A_27a),arr(arr(A_27a,bool),A_27a)).
% 2.95/3.13 0 [] -ne(A0)|ne(ty_2Eoption_2Eoption(A0)).
% 2.95/3.13 0 [] -ne(A_27a)|mem(c_2Eoption_2ESOME(A_27a),arr(A_27a,ty_2Eoption_2Eoption(A_27a))).
% 2.95/3.13 0 [] -ne(A_27a)|mem(c_2Ebool_2E_3F(A_27a),arr(arr(A_27a,bool),bool)).
% 2.95/3.13 0 [] -ne(A)| -mem(Q,arr(A,bool))| -p(ap(c_2Ebool_2E_3F(A),Q))|mem($f2(A,Q),A).
% 2.95/3.13 0 [] -ne(A)| -mem(Q,arr(A,bool))| -p(ap(c_2Ebool_2E_3F(A),Q))|p(ap(Q,$f2(A,Q))).
% 2.95/3.13 0 [] -ne(A)| -mem(Q,arr(A,bool))|p(ap(c_2Ebool_2E_3F(A),Q))| -mem(X,A)| -p(ap(Q,X)).
% 2.95/3.13 0 [] -ne(A_27a)|mem(c_2Ebool_2ECOND(A_27a),arr(bool,arr(A_27a,arr(A_27a,A_27a)))).
% 2.95/3.13 0 [] -ne(A_27a)| -ne(A_27b)|mem(c_2Eoption_2EOPTION__MAP(A_27a,A_27b),arr(arr(A_27a,A_27b),arr(ty_2Eoption_2Eoption(A_27a),ty_2Eoption_2Eoption(A_27b)))).
% 2.95/3.13 0 [] -ne(A_27a)| -ne(A_27b)| -ne(A_27c)|mem(c_2EpatternMatches_2EPMATCH__ROW(A_27a,A_27b,A_27c),arr(arr(A_27b,A_27c),arr(arr(A_27b,bool),arr(arr(A_27b,A_27a),arr(A_27c,ty_2Eoption_2Eoption(A_27a)))))).
% 2.95/3.13 0 [] -ne(A_27a)|mem(c_2Eoption_2ENONE(A_27a),ty_2Eoption_2Eoption(A_27a)).
% 2.95/3.13 0 [] -ne(A_27a)| -ne(A_27b)|mem(c_2EpatternMatches_2EPMATCH__ROW__COND(A_27a,A_27b),arr(arr(A_27a,A_27b),arr(arr(A_27a,bool),arr(A_27b,arr(A_27a,bool))))).
% 2.95/3.13 0 [] -ne(A_27a)|mem(c_2Eoption_2Esome(A_27a),arr(arr(A_27a,bool),ty_2Eoption_2Eoption(A_27a))).
% 2.95/3.13 0 [] -ne(A_27a)| -ne(A_27b)|mem(c_2Eoption_2Eoption__CASE(A_27a,A_27b),arr(ty_2Eoption_2Eoption(A_27a),arr(A_27b,arr(arr(A_27a,A_27b),A_27b)))).
% 2.95/3.13 0 [] -ne(A_27a)| -ne(A_27b)| -ne(A_27c)|mem(c_2EpatternMatches_2EPMATCH__FLATTEN__FUN(A_27a,A_27b,A_27c),arr(arr(A_27b,A_27c),arr(arr(A_27b,bool),arr(arr(A_27b,arr(A_27b,ty_2Eoption_2Eoption(A_27a))),arr(A_27c,ty_2Eoption_2Eoption(A_27a)))))).
% 2.95/3.13 0 [] mem(c_2Ebool_2EF,bool).
% 2.95/3.13 0 [] -p(c_2Ebool_2EF).
% 2.95/3.13 0 [] mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))).
% 2.95/3.13 0 [] -mem(Q,bool)| -mem(R,bool)| -p(ap(ap(c_2Emin_2E_3D_3D_3E,Q),R))| -p(Q)|p(R).
% 2.95/3.13 0 [] -mem(Q,bool)| -mem(R,bool)|p(ap(ap(c_2Emin_2E_3D_3D_3E,Q),R))|p(Q).
% 2.95/3.13 0 [] -mem(Q,bool)| -mem(R,bool)|p(ap(ap(c_2Emin_2E_3D_3D_3E,Q),R))| -p(R).
% 2.95/3.13 0 [] mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool))).
% 2.95/3.13 0 [] -mem(Q,bool)| -mem(R,bool)| -p(ap(ap(c_2Ebool_2E_5C_2F,Q),R))|p(Q)|p(R).
% 2.95/3.13 0 [] -mem(Q,bool)| -mem(R,bool)|p(ap(ap(c_2Ebool_2E_5C_2F,Q),R))| -p(Q).
% 2.95/3.13 0 [] -mem(Q,bool)| -mem(R,bool)|p(ap(ap(c_2Ebool_2E_5C_2F,Q),R))| -p(R).
% 2.95/3.13 0 [] mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))).
% 2.95/3.13 0 [] -mem(Q,bool)| -mem(R,bool)| -p(ap(ap(c_2Ebool_2E_2F_5C,Q),R))|p(Q).
% 2.95/3.13 0 [] -mem(Q,bool)| -mem(R,bool)| -p(ap(ap(c_2Ebool_2E_2F_5C,Q),R))|p(R).
% 2.95/3.13 0 [] -mem(Q,bool)| -mem(R,bool)|p(ap(ap(c_2Ebool_2E_2F_5C,Q),R))| -p(Q)| -p(R).
% 2.95/3.13 0 [] mem(c_2Ebool_2E_7E,arr(bool,bool)).
% 2.95/3.13 0 [] -mem(Q,bool)| -p(ap(c_2Ebool_2E_7E,Q))| -p(Q).
% 2.95/3.13 0 [] -mem(Q,bool)|p(ap(c_2Ebool_2E_7E,Q))|p(Q).
% 2.95/3.13 0 [] -ne(A_27a)|mem(c_2Emin_2E_3D(A_27a),arr(A_27a,arr(A_27a,bool))).
% 2.95/3.13 0 [] -ne(A)| -mem(X,A)| -mem(Y,A)| -p(ap(ap(c_2Emin_2E_3D(A),X),Y))|X=Y.
% 2.95/3.13 0 [] -ne(A)| -mem(X,A)| -mem(Y,A)|p(ap(ap(c_2Emin_2E_3D(A),X),Y))|X!=Y.
% 2.95/3.13 0 [] -ne(A_27a)|mem(c_2Ebool_2E_21(A_27a),arr(arr(A_27a,bool),bool)).
% 2.95/3.14 0 [] -ne(A)| -mem(Q,arr(A,bool))| -p(ap(c_2Ebool_2E_21(A),Q))| -mem(X,A)|p(ap(Q,X)).
% 2.95/3.14 0 [] -ne(A)| -mem(Q,arr(A,bool))|p(ap(c_2Ebool_2E_21(A),Q))|mem($f3(A,Q),A).
% 2.95/3.14 0 [] -ne(A)| -mem(Q,arr(A,bool))|p(ap(c_2Ebool_2E_21(A),Q))| -p(ap(Q,$f3(A,Q))).
% 2.95/3.14 0 [] -mem(V0t,bool)| -p(V0t)|$T|$F.
% 2.95/3.14 0 [] -mem(V0t,bool)|p(V0t)| -$T| -$F.
% 2.95/3.14 0 [] $T.
% 2.95/3.14 0 [] -mem(V0t,bool)| -$F|p(V0t).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0t,bool)|mem($f4(A_27a,V0t),A_27a)|p(V0t).
% 2.95/3.14 0 [] -mem(V0t,bool)|p(V0t)| -$F.
% 2.95/3.14 0 [] -mem(V0t,bool)| -p(V0t)|$T.
% 2.95/3.14 0 [] -mem(V0t,bool)| -$F|p(V0t)| -$T.
% 2.95/3.14 0 [] -mem(V0t,bool)|$T.
% 2.95/3.14 0 [] $T|$F.
% 2.95/3.14 0 [] -$T| -$F.
% 2.95/3.14 0 [] $F|$T.
% 2.95/3.14 0 [] -$F| -$T.
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0x,A_27a)|V0x!=V0x|$T.
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0x,A_27a)|V0x=V0x| -$T.
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0x,A_27a)| -mem(V1y,A_27a)|V0x!=V1y|V1y=V0x.
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0x,A_27a)| -mem(V1y,A_27a)|V0x=V1y|V1y!=V0x.
% 2.95/3.14 0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0f,arr(A_27a,A_27b))| -mem(V1g,arr(A_27a,A_27b))|V0f!=V1g| -mem(V2x,A_27a)|ap(V0f,V2x)=ap(V1g,V2x).
% 2.95/3.14 0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0f,arr(A_27a,A_27b))| -mem(V1g,arr(A_27a,A_27b))|V0f=V1g|mem($f5(A_27a,A_27b,V0f,V1g),A_27a).
% 2.95/3.14 0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0f,arr(A_27a,A_27b))| -mem(V1g,arr(A_27a,A_27b))|V0f=V1g|ap(V0f,$f5(A_27a,A_27b,V0f,V1g))!=ap(V1g,$f5(A_27a,A_27b,V0f,V1g)).
% 2.95/3.14 0 [] -mem(V0t,bool)|$T|p(V0t).
% 2.95/3.14 0 [] -mem(V0t,bool)|$T| -p(V0t).
% 2.95/3.14 0 [] -mem(V0t,bool)| -$F| -p(V0t).
% 2.95/3.14 0 [] -mem(V0t,bool)| -$F|p(V0t).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1Q,arr(A_27a,bool))| -mem(V2x,A_27a)| -p(ap(V0P,V2x))|mem($f6(A_27a,V0P,V1Q),A_27a)|p(ap(V1Q,ap(c_2Emin_2E_40(A_27a),V0P))).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1Q,arr(A_27a,bool))| -mem(V2x,A_27a)| -p(ap(V0P,V2x))|p(ap(V0P,$f6(A_27a,V0P,V1Q)))|p(ap(V1Q,ap(c_2Emin_2E_40(A_27a),V0P))).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1Q,arr(A_27a,bool))| -mem(V2x,A_27a)| -p(ap(V0P,V2x))| -p(ap(V1Q,$f6(A_27a,V0P,V1Q)))|p(ap(V1Q,ap(c_2Emin_2E_40(A_27a),V0P))).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1x,A_27a)|p(ap(V0P,V1x))|mem($f7(A_27a,V0P),A_27a).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1x,A_27a)|p(ap(V0P,V1x))| -p(ap(V0P,$f7(A_27a,V0P))).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))|mem($f8(A_27a,V0P),A_27a)| -mem(V2x,A_27a)|p(ap(V0P,V2x)).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -p(ap(V0P,$f8(A_27a,V0P)))| -mem(V2x,A_27a)|p(ap(V0P,V2x)).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))|mem($f9(A_27a,V0P),A_27a)| -mem(V2x,A_27a)| -p(ap(V0P,V2x)).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))|p(ap(V0P,$f9(A_27a,V0P)))| -mem(V2x,A_27a)| -p(ap(V0P,V2x)).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1x,A_27a)| -p(ap(V0P,V1x))|mem($f10(A_27a,V0P),A_27a).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))| -mem(V1x,A_27a)| -p(ap(V0P,V1x))|p(ap(V0P,$f10(A_27a,V0P))).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0f,arr(A_27a,bool))| -mem(V1v,A_27a)|mem($f11(A_27a,V0f,V1v),A_27a)|p(ap(V0f,V1v)).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0f,arr(A_27a,bool))| -mem(V1v,A_27a)|$f11(A_27a,V0f,V1v)=V1v|p(ap(V0f,V1v)).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0f,arr(A_27a,bool))| -mem(V1v,A_27a)| -p(ap(V0f,$f11(A_27a,V0f,V1v)))|p(ap(V0f,V1v)).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0f,arr(A_27a,bool))| -mem(V1v,A_27a)| -mem(V2x,A_27a)|V2x!=V1v|p(ap(V0f,V2x))| -p(ap(V0f,V1v)).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0opt,ty_2Eoption_2Eoption(A_27a))|V0opt=c_2Eoption_2ENONE(A_27a)|mem($f12(A_27a,V0opt),A_27a).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0opt,ty_2Eoption_2Eoption(A_27a))|V0opt=c_2Eoption_2ENONE(A_27a)|V0opt=ap(c_2Eoption_2ESOME(A_27a),$f12(A_27a,V0opt)).
% 2.95/3.14 0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0v,A_27b)| -mem(V1f,arr(A_27a,A_27b))|ap(ap(ap(c_2Eoption_2Eoption__CASE(A_27a,A_27b),c_2Eoption_2ENONE(A_27a)),V0v),V1f)=V0v.
% 2.95/3.14 0 [] -ne(A_27a)| -ne(A_27b)| -mem(V2x,A_27a)| -mem(V3v,A_27b)| -mem(V4f,arr(A_27a,A_27b))|ap(ap(ap(c_2Eoption_2Eoption__CASE(A_27a,A_27b),ap(c_2Eoption_2ESOME(A_27a),V2x)),V3v),V4f)=ap(V4f,V2x).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0x,A_27a)| -mem(V1y,A_27a)|ap(c_2Eoption_2ESOME(A_27a),V0x)!=ap(c_2Eoption_2ESOME(A_27a),V1y)|V0x=V1y.
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0x,A_27a)| -mem(V1y,A_27a)|ap(c_2Eoption_2ESOME(A_27a),V0x)=ap(c_2Eoption_2ESOME(A_27a),V1y)|V0x!=V1y.
% 2.95/3.14 0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0f,arr(A_27a,A_27b))| -mem(V1x,A_27a)|ap(ap(c_2Eoption_2EOPTION__MAP(A_27a,A_27b),V0f),ap(c_2Eoption_2ESOME(A_27a),V1x))=ap(c_2Eoption_2ESOME(A_27b),ap(V0f,V1x)).
% 2.95/3.14 0 [] -ne(A_27a)| -ne(A_27b)| -mem(V2f,arr(A_27a,A_27b))|ap(ap(c_2Eoption_2EOPTION__MAP(A_27a,A_27b),V2f),c_2Eoption_2ENONE(A_27a))=c_2Eoption_2ENONE(A_27b).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1x,A_27a)| -mem(V2y,A_27a)|ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A_27a)),V0P),ap(c_2Eoption_2ESOME(A_27a),V1x)),c_2Eoption_2ENONE(A_27a))!=c_2Eoption_2ENONE(A_27a)| -p(V0P).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1x,A_27a)| -mem(V2y,A_27a)|ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A_27a)),V0P),ap(c_2Eoption_2ESOME(A_27a),V1x)),c_2Eoption_2ENONE(A_27a))=c_2Eoption_2ENONE(A_27a)|p(V0P).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1x,A_27a)| -mem(V2y,A_27a)|ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A_27a)),V0P),c_2Eoption_2ENONE(A_27a)),ap(c_2Eoption_2ESOME(A_27a),V1x))!=c_2Eoption_2ENONE(A_27a)|p(V0P).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1x,A_27a)| -mem(V2y,A_27a)|ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A_27a)),V0P),c_2Eoption_2ENONE(A_27a)),ap(c_2Eoption_2ESOME(A_27a),V1x))=c_2Eoption_2ENONE(A_27a)| -p(V0P).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1x,A_27a)| -mem(V2y,A_27a)|ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A_27a)),V0P),ap(c_2Eoption_2ESOME(A_27a),V1x)),c_2Eoption_2ENONE(A_27a))!=ap(c_2Eoption_2ESOME(A_27a),V2y)|p(V0P).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1x,A_27a)| -mem(V2y,A_27a)|ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A_27a)),V0P),ap(c_2Eoption_2ESOME(A_27a),V1x)),c_2Eoption_2ENONE(A_27a))!=ap(c_2Eoption_2ESOME(A_27a),V2y)|V1x=V2y.
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1x,A_27a)| -mem(V2y,A_27a)|ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A_27a)),V0P),ap(c_2Eoption_2ESOME(A_27a),V1x)),c_2Eoption_2ENONE(A_27a))=ap(c_2Eoption_2ESOME(A_27a),V2y)| -p(V0P)|V1x!=V2y.
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1x,A_27a)| -mem(V2y,A_27a)|ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A_27a)),V0P),c_2Eoption_2ENONE(A_27a)),ap(c_2Eoption_2ESOME(A_27a),V1x))!=ap(c_2Eoption_2ESOME(A_27a),V2y)| -p(V0P).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1x,A_27a)| -mem(V2y,A_27a)|ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A_27a)),V0P),c_2Eoption_2ENONE(A_27a)),ap(c_2Eoption_2ESOME(A_27a),V1x))!=ap(c_2Eoption_2ESOME(A_27a),V2y)|V1x=V2y.
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0P,bool)| -mem(V1x,A_27a)| -mem(V2y,A_27a)|ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A_27a)),V0P),c_2Eoption_2ENONE(A_27a)),ap(c_2Eoption_2ESOME(A_27a),V1x))=ap(c_2Eoption_2ESOME(A_27a),V2y)|p(V0P)|V1x!=V2y.
% 2.95/3.14 0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0f,arr(A_27b,A_27a))| -mem(V1x,ty_2Eoption_2Eoption(A_27b))|ap(ap(c_2Eoption_2EOPTION__MAP(A_27b,A_27a),V0f),V1x)!=c_2Eoption_2ENONE(A_27a)|V1x=c_2Eoption_2ENONE(A_27b).
% 2.95/3.14 0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0f,arr(A_27b,A_27a))| -mem(V1x,ty_2Eoption_2Eoption(A_27b))|ap(ap(c_2Eoption_2EOPTION__MAP(A_27b,A_27a),V0f),V1x)=c_2Eoption_2ENONE(A_27a)|V1x!=c_2Eoption_2ENONE(A_27b).
% 2.95/3.14 0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0f,arr(A_27b,A_27a))| -mem(V1x,ty_2Eoption_2Eoption(A_27b))|c_2Eoption_2ENONE(A_27a)!=ap(ap(c_2Eoption_2EOPTION__MAP(A_27b,A_27a),V0f),V1x)|V1x=c_2Eoption_2ENONE(A_27b).
% 2.95/3.14 0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0f,arr(A_27b,A_27a))| -mem(V1x,ty_2Eoption_2Eoption(A_27b))|c_2Eoption_2ENONE(A_27a)=ap(ap(c_2Eoption_2EOPTION__MAP(A_27b,A_27a),V0f),V1x)|V1x!=c_2Eoption_2ENONE(A_27b).
% 2.95/3.14 0 [] -ne(A_27a)| -mem(V0P,arr(A_27a,bool))|ap(c_2Eoption_2Esome(A_27a),V0P)=ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A_27a)),ap(c_2Ebool_2E_3F(A_27a),f49(A_27a,V0P))),ap(c_2Eoption_2ESOME(A_27a),ap(c_2Emin_2E_40(A_27a),f108(A_27a,V0P)))),c_2Eoption_2ENONE(A_27a)).
% 2.95/3.14 0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0pat,arr(A_27a,A_27b))| -mem(V1guard,arr(A_27a,bool))| -mem(V2inp,A_27b)| -mem(V3v,A_27a)| -p(ap(ap(ap(ap(c_2EpatternMatches_2EPMATCH__ROW__COND(A_27a,A_27b),V0pat),V1guard),V2inp),V3v))|ap(V0pat,V3v)=V2inp.
% 2.95/3.14 0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0pat,arr(A_27a,A_27b))| -mem(V1guard,arr(A_27a,bool))| -mem(V2inp,A_27b)| -mem(V3v,A_27a)| -p(ap(ap(ap(ap(c_2EpatternMatches_2EPMATCH__ROW__COND(A_27a,A_27b),V0pat),V1guard),V2inp),V3v))|p(ap(V1guard,V3v)).
% 2.95/3.14 0 [] -ne(A_27a)| -ne(A_27b)| -mem(V0pat,arr(A_27a,A_27b))| -mem(V1guard,arr(A_27a,bool))| -mem(V2inp,A_27b)| -mem(V3v,A_27a)|p(ap(ap(ap(ap(c_2EpatternMatches_2EPMATCH__ROW__COND(A_27a,A_27b),V0pat),V1guard),V2inp),V3v))|ap(V0pat,V3v)!=V2inp| -p(ap(V1guard,V3v)).
% 2.95/3.14 0 [] -ne(A_27a)| -ne(A_27b)| -ne(A_27c)| -mem(V0pat,arr(A_27b,A_27c))| -mem(V1guard,arr(A_27b,bool))| -mem(V2rhs,arr(A_27b,A_27a))| -mem(V3i,A_27c)|ap(ap(ap(ap(c_2EpatternMatches_2EPMATCH__ROW(A_27a,A_27b,A_27c),V0pat),V1guard),V2rhs),V3i)=ap(ap(c_2Eoption_2EOPTION__MAP(A_27b,A_27a),V2rhs),ap(c_2Eoption_2Esome(A_27b),f822(A_27c,A_27b,V3i,V0pat,V1guard))).
% 2.95/3.14 0 [] -ne(A_27a)| -ne(A_27b)| -ne(A_27c)| -mem(V0p,arr(A_27b,A_27c))| -mem(V1g,arr(A_27b,bool))| -mem(V2row,arr(A_27b,arr(A_27b,ty_2Eoption_2Eoption(A_27a))))| -mem(V3v,A_27c)|ap(ap(ap(ap(c_2EpatternMatches_2EPMATCH__FLATTEN__FUN(A_27a,A_27b,A_27c),V0p),V1g),V2row),V3v)=ap(ap(ap(c_2Eoption_2Eoption__CASE(A_27b,ty_2Eoption_2Eoption(A_27a)),ap(c_2Eoption_2Esome(A_27b),f850(A_27c,A_27b,V3v,V0p,V1g))),c_2Eoption_2ENONE(A_27a)),f851(A_27a,A_27b,V2row)).
% 2.95/3.14 0 [] ne($c9).
% 2.95/3.14 0 [] ne($c8).
% 2.95/3.14 0 [] ne($c7).
% 2.95/3.14 0 [] ne($c6).
% 2.95/3.14 0 [] mem($c5,arr($c9,$c8)).
% 2.95/3.14 0 [] -mem(V1x1,$c9)| -mem(V2x2,$c9)|ap($c5,V1x1)!=ap($c5,V2x2)|V1x1=V2x2.
% 2.95/3.14 0 [] mem($c4,arr($c9,bool)).
% 2.95/3.14 0 [] mem($c3,arr($c7,$c9)).
% 2.95/3.14 0 [] mem($c2,arr($c9,arr($c7,bool))).
% 2.95/3.14 0 [] mem($c1,arr($c9,arr($c7,$c6))).
% 2.95/3.14 0 [] ap(ap(ap(c_2EpatternMatches_2EPMATCH__FLATTEN__FUN($c6,$c9,$c8),$c5),$c4),f859($c6,$c7,$c9,$c3,$c2,$c1))!=ap(ap(ap(c_2EpatternMatches_2EPMATCH__ROW($c6,$c7,$c8),f860($c9,$c8,$c7,$c3,$c5)),f861($c9,$c7,$c4,$c2,$c3)),f862($c6,$c9,$c7,$c1,$c3)).
% 2.95/3.14 end_of_list.
% 2.95/3.14
% 2.95/3.14 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 2.95/3.14
% 2.95/3.14 This ia a non-Horn set with equality. The strategy will be
% 2.95/3.14 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.95/3.14 deletion, with positive clauses in sos and nonpositive
% 2.95/3.14 clauses in usable.
% 2.95/3.14
% 2.95/3.14 dependent: set(knuth_bendix).
% 2.95/3.14 dependent: set(anl_eq).
% 2.95/3.14 dependent: set(para_from).
% 2.95/3.14 dependent: set(para_into).
% 2.95/3.14 dependent: clear(para_from_right).
% 2.95/3.14 dependent: clear(para_into_right).
% 2.95/3.14 dependent: set(para_from_vars).
% 2.95/3.14 dependent: set(eq_units_both_ways).
% 2.95/3.14 dependent: set(dynamic_demod_all).
% 2.95/3.14 dependent: set(dynamic_demod).
% 2.95/3.14 dependent: set(order_eq).
% 2.95/3.14 dependent: set(back_demod).
% 2.95/3.14 dependent: set(lrpo).
% 2.95/3.14 dependent: set(hyper_res).
% 2.95/3.14 dependent: set(unit_deletion).
% 2.95/3.14 dependent: set(factor).
% 2.95/3.14
% 2.95/3.14 ------------> process usable:
% 2.95/3.14 ** KEPT (pick-wt=8): 1 [] -ne(A)| -ne(B)|ne(arr(A,B)).
% 2.95/3.14 ** KEPT (pick-wt=13): 2 [] -mem(A,arr(B,C))| -mem(D,B)|mem(ap(A,D),C).
% 2.95/3.14 ** KEPT (pick-wt=13): 3 [] -mem(A,bool)| -mem(B,bool)|p(A)|p(B)|A=B.
% 2.95/3.14 ** KEPT (pick-wt=13): 4 [] -mem(A,bool)| -mem(B,bool)| -p(A)| -p(B)|A=B.
% 2.95/3.14 ** KEPT (pick-wt=20): 5 [] -mem(A,arr(B,C))| -mem(D,arr(B,C))|mem($f1(B,C,A,D),B)|A=D.
% 2.95/3.14 ** 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.
% 2.95/3.14 ** KEPT (pick-wt=10): 7 [] -mem(A,B)|ap(k(B,C),A)=C.
% 2.95/3.14 ** KEPT (pick-wt=9): 8 [] -mem(A,B)|ap(i(B),A)=A.
% 2.95/3.14 ** KEPT (pick-wt=10): 9 [] -ne(A)|mem(c_2Emin_2E_40(A),arr(arr(A,bool),A)).
% 2.95/3.14 ** KEPT (pick-wt=5): 10 [] -ne(A)|ne(ty_2Eoption_2Eoption(A)).
% 2.95/3.14 ** KEPT (pick-wt=9): 11 [] -ne(A)|mem(c_2Eoption_2ESOME(A),arr(A,ty_2Eoption_2Eoption(A))).
% 2.95/3.14 ** KEPT (pick-wt=10): 12 [] -ne(A)|mem(c_2Ebool_2E_3F(A),arr(arr(A,bool),bool)).
% 2.95/3.14 ** KEPT (pick-wt=17): 13 [] -ne(A)| -mem(B,arr(A,bool))| -p(ap(c_2Ebool_2E_3F(A),B))|mem($f2(A,B),A).
% 2.95/3.14 ** KEPT (pick-wt=18): 14 [] -ne(A)| -mem(B,arr(A,bool))| -p(ap(c_2Ebool_2E_3F(A),B))|p(ap(B,$f2(A,B))).
% 2.95/3.14 ** KEPT (pick-wt=19): 15 [] -ne(A)| -mem(B,arr(A,bool))|p(ap(c_2Ebool_2E_3F(A),B))| -mem(C,A)| -p(ap(B,C)).
% 2.95/3.14 ** KEPT (pick-wt=12): 16 [] -ne(A)|mem(c_2Ebool_2ECOND(A),arr(bool,arr(A,arr(A,A)))).
% 2.95/3.14 ** KEPT (pick-wt=17): 17 [] -ne(A)| -ne(B)|mem(c_2Eoption_2EOPTION__MAP(A,B),arr(arr(A,B),arr(ty_2Eoption_2Eoption(A),ty_2Eoption_2Eoption(B)))).
% 2.95/3.14 ** KEPT (pick-wt=27): 18 [] -ne(A)| -ne(B)| -ne(C)|mem(c_2EpatternMatches_2EPMATCH__ROW(A,B,C),arr(arr(B,C),arr(arr(B,bool),arr(arr(B,A),arr(C,ty_2Eoption_2Eoption(A)))))).
% 2.95/3.14 ** KEPT (pick-wt=7): 19 [] -ne(A)|mem(c_2Eoption_2ENONE(A),ty_2Eoption_2Eoption(A)).
% 2.95/3.14 ** KEPT (pick-wt=21): 20 [] -ne(A)| -ne(B)|mem(c_2EpatternMatches_2EPMATCH__ROW__COND(A,B),arr(arr(A,B),arr(arr(A,bool),arr(B,arr(A,bool))))).
% 2.95/3.14 ** KEPT (pick-wt=11): 21 [] -ne(A)|mem(c_2Eoption_2Esome(A),arr(arr(A,bool),ty_2Eoption_2Eoption(A))).
% 2.95/3.14 ** KEPT (pick-wt=18): 22 [] -ne(A)| -ne(B)|mem(c_2Eoption_2Eoption__CASE(A,B),arr(ty_2Eoption_2Eoption(A),arr(B,arr(arr(A,B),B)))).
% 2.95/3.14 ** KEPT (pick-wt=30): 23 [] -ne(A)| -ne(B)| -ne(C)|mem(c_2EpatternMatches_2EPMATCH__FLATTEN__FUN(A,B,C),arr(arr(B,C),arr(arr(B,bool),arr(arr(B,arr(B,ty_2Eoption_2Eoption(A))),arr(C,ty_2Eoption_2Eoption(A)))))).
% 2.95/3.14 ** KEPT (pick-wt=2): 24 [] -p(c_2Ebool_2EF).
% 2.95/3.14 ** KEPT (pick-wt=16): 25 [] -mem(A,bool)| -mem(B,bool)| -p(ap(ap(c_2Emin_2E_3D_3D_3E,A),B))| -p(A)|p(B).
% 2.95/3.14 ** KEPT (pick-wt=14): 26 [] -mem(A,bool)| -mem(B,bool)|p(ap(ap(c_2Emin_2E_3D_3D_3E,A),B))|p(A).
% 2.95/3.14 ** KEPT (pick-wt=14): 27 [] -mem(A,bool)| -mem(B,bool)|p(ap(ap(c_2Emin_2E_3D_3D_3E,A),B))| -p(B).
% 2.95/3.14 ** KEPT (pick-wt=16): 28 [] -mem(A,bool)| -mem(B,bool)| -p(ap(ap(c_2Ebool_2E_5C_2F,A),B))|p(A)|p(B).
% 2.95/3.14 ** KEPT (pick-wt=14): 29 [] -mem(A,bool)| -mem(B,bool)|p(ap(ap(c_2Ebool_2E_5C_2F,A),B))| -p(A).
% 2.95/3.14 ** KEPT (pick-wt=14): 30 [] -mem(A,bool)| -mem(B,bool)|p(ap(ap(c_2Ebool_2E_5C_2F,A),B))| -p(B).
% 2.95/3.14 ** KEPT (pick-wt=14): 31 [] -mem(A,bool)| -mem(B,bool)| -p(ap(ap(c_2Ebool_2E_2F_5C,A),B))|p(A).
% 2.95/3.14 ** KEPT (pick-wt=14): 32 [] -mem(A,bool)| -mem(B,bool)| -p(ap(ap(c_2Ebool_2E_2F_5C,A),B))|p(B).
% 2.95/3.14 ** KEPT (pick-wt=16): 33 [] -mem(A,bool)| -mem(B,bool)|p(ap(ap(c_2Ebool_2E_2F_5C,A),B))| -p(A)| -p(B).
% 2.95/3.14 ** KEPT (pick-wt=9): 34 [] -mem(A,bool)| -p(ap(c_2Ebool_2E_7E,A))| -p(A).
% 2.95/3.14 ** KEPT (pick-wt=9): 35 [] -mem(A,bool)|p(ap(c_2Ebool_2E_7E,A))|p(A).
% 2.95/3.14 ** KEPT (pick-wt=10): 36 [] -ne(A)|mem(c_2Emin_2E_3D(A),arr(A,arr(A,bool))).
% 2.95/3.14 ** KEPT (pick-wt=18): 37 [] -ne(A)| -mem(B,A)| -mem(C,A)| -p(ap(ap(c_2Emin_2E_3D(A),B),C))|B=C.
% 2.95/3.14 ** KEPT (pick-wt=18): 38 [] -ne(A)| -mem(B,A)| -mem(C,A)|p(ap(ap(c_2Emin_2E_3D(A),B),C))|B!=C.
% 2.95/3.14 ** KEPT (pick-wt=10): 39 [] -ne(A)|mem(c_2Ebool_2E_21(A),arr(arr(A,bool),bool)).
% 2.95/3.14 ** KEPT (pick-wt=19): 40 [] -ne(A)| -mem(B,arr(A,bool))| -p(ap(c_2Ebool_2E_21(A),B))| -mem(C,A)|p(ap(B,C)).
% 2.95/3.14 ** KEPT (pick-wt=17): 41 [] -ne(A)| -mem(B,arr(A,bool))|p(ap(c_2Ebool_2E_21(A),B))|mem($f3(A,B),A).
% 2.95/3.14 ** KEPT (pick-wt=18): 42 [] -ne(A)| -mem(B,arr(A,bool))|p(ap(c_2Ebool_2E_21(A),B))| -p(ap(B,$f3(A,B))).
% 2.95/3.14 ** KEPT (pick-wt=12): 43 [] -ne(A)| -mem(B,bool)|mem($f4(A,B),A)|p(B).
% 2.95/3.14 ** KEPT (pick-wt=8): 45 [copy,44,propositional] -ne(A)| -mem(B,A)|B=B.
% 2.95/3.14 ** KEPT (pick-wt=14): 46 [] -ne(A)| -mem(B,A)| -mem(C,A)|B!=C|C=B.
% 2.95/3.14 Following clause subsumed by 46 during input processing: 0 [] -ne(A)| -mem(B,A)| -mem(C,A)|B=C|C!=B.
% 2.95/3.14 ** KEPT (pick-wt=27): 47 [] -ne(A)| -ne(B)| -mem(C,arr(A,B))| -mem(D,arr(A,B))|C!=D| -mem(E,A)|ap(C,E)=ap(D,E).
% 2.95/3.14 ** KEPT (pick-wt=24): 48 [] -ne(A)| -ne(B)| -mem(C,arr(A,B))| -mem(D,arr(A,B))|C=D|mem($f5(A,B,C,D),A).
% 2.95/3.14 ** KEPT (pick-wt=32): 49 [] -ne(A)| -ne(B)| -mem(C,arr(A,B))| -mem(D,arr(A,B))|C=D|ap(C,$f5(A,B,C,D))!=ap(D,$f5(A,B,C,D)).
% 2.95/3.14 ** KEPT (pick-wt=32): 50 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,arr(A,bool))| -mem(D,A)| -p(ap(B,D))|mem($f6(A,B,C),A)|p(ap(C,ap(c_2Emin_2E_40(A),B))).
% 2.95/3.14 ** KEPT (pick-wt=33): 51 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,arr(A,bool))| -mem(D,A)| -p(ap(B,D))|p(ap(B,$f6(A,B,C)))|p(ap(C,ap(c_2Emin_2E_40(A),B))).
% 2.95/3.14 ** KEPT (pick-wt=33): 52 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,arr(A,bool))| -mem(D,A)| -p(ap(B,D))| -p(ap(C,$f6(A,B,C)))|p(ap(C,ap(c_2Emin_2E_40(A),B))).
% 2.95/3.14 ** KEPT (pick-wt=19): 53 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,A)|p(ap(B,C))|mem($f7(A,B),A).
% 2.95/3.14 ** KEPT (pick-wt=20): 54 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,A)|p(ap(B,C))| -p(ap(B,$f7(A,B))).
% 2.95/3.14 ** KEPT (pick-wt=19): 55 [] -ne(A)| -mem(B,arr(A,bool))|mem($f8(A,B),A)| -mem(C,A)|p(ap(B,C)).
% 2.95/3.14 ** KEPT (pick-wt=20): 56 [] -ne(A)| -mem(B,arr(A,bool))| -p(ap(B,$f8(A,B)))| -mem(C,A)|p(ap(B,C)).
% 2.95/3.14 ** KEPT (pick-wt=19): 57 [] -ne(A)| -mem(B,arr(A,bool))|mem($f9(A,B),A)| -mem(C,A)| -p(ap(B,C)).
% 2.95/3.14 ** KEPT (pick-wt=20): 58 [] -ne(A)| -mem(B,arr(A,bool))|p(ap(B,$f9(A,B)))| -mem(C,A)| -p(ap(B,C)).
% 3.05/3.20 ** KEPT (pick-wt=19): 59 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,A)| -p(ap(B,C))|mem($f10(A,B),A).
% 3.05/3.20 ** KEPT (pick-wt=20): 60 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,A)| -p(ap(B,C))|p(ap(B,$f10(A,B))).
% 3.05/3.20 ** KEPT (pick-wt=20): 61 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,A)|mem($f11(A,B,C),A)|p(ap(B,C)).
% 3.05/3.20 ** KEPT (pick-wt=20): 62 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,A)|$f11(A,B,C)=C|p(ap(B,C)).
% 3.05/3.20 ** KEPT (pick-wt=21): 63 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,A)| -p(ap(B,$f11(A,B,C)))|p(ap(B,C)).
% 3.05/3.20 ** KEPT (pick-wt=24): 64 [] -ne(A)| -mem(B,arr(A,bool))| -mem(C,A)| -mem(D,A)|D!=C|p(ap(B,D))| -p(ap(B,C)).
% 3.05/3.20 ** KEPT (pick-wt=15): 65 [] -ne(A)| -mem(B,ty_2Eoption_2Eoption(A))|B=c_2Eoption_2ENONE(A)|mem($f12(A,B),A).
% 3.05/3.20 ** KEPT (pick-wt=18): 67 [copy,66,flip.4] -ne(A)| -mem(B,ty_2Eoption_2Eoption(A))|B=c_2Eoption_2ENONE(A)|ap(c_2Eoption_2ESOME(A),$f12(A,B))=B.
% 3.05/3.20 ** KEPT (pick-wt=24): 68 [] -ne(A)| -ne(B)| -mem(C,B)| -mem(D,arr(A,B))|ap(ap(ap(c_2Eoption_2Eoption__CASE(A,B),c_2Eoption_2ENONE(A)),C),D)=C.
% 3.05/3.20 ** KEPT (pick-wt=31): 69 [] -ne(A)| -ne(B)| -mem(C,A)| -mem(D,B)| -mem(E,arr(A,B))|ap(ap(ap(c_2Eoption_2Eoption__CASE(A,B),ap(c_2Eoption_2ESOME(A),C)),D),E)=ap(E,C).
% 3.05/3.20 ** KEPT (pick-wt=20): 70 [] -ne(A)| -mem(B,A)| -mem(C,A)|ap(c_2Eoption_2ESOME(A),B)!=ap(c_2Eoption_2ESOME(A),C)|B=C.
% 3.05/3.20 ** KEPT (pick-wt=20): 71 [] -ne(A)| -mem(B,A)| -mem(C,A)|ap(c_2Eoption_2ESOME(A),B)=ap(c_2Eoption_2ESOME(A),C)|B!=C.
% 3.05/3.20 ** KEPT (pick-wt=29): 72 [] -ne(A)| -ne(B)| -mem(C,arr(A,B))| -mem(D,A)|ap(ap(c_2Eoption_2EOPTION__MAP(A,B),C),ap(c_2Eoption_2ESOME(A),D))=ap(c_2Eoption_2ESOME(B),ap(C,D)).
% 3.05/3.20 ** KEPT (pick-wt=20): 73 [] -ne(A)| -ne(B)| -mem(C,arr(A,B))|ap(ap(c_2Eoption_2EOPTION__MAP(A,B),C),c_2Eoption_2ENONE(A))=c_2Eoption_2ENONE(B).
% 3.05/3.20 ** KEPT (pick-wt=26): 75 [copy,74,factor_simp] -ne(A)| -mem(B,bool)| -mem(C,A)|ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A)),B),ap(c_2Eoption_2ESOME(A),C)),c_2Eoption_2ENONE(A))!=c_2Eoption_2ENONE(A)| -p(B).
% 3.05/3.20 ** KEPT (pick-wt=26): 77 [copy,76,factor_simp] -ne(A)| -mem(B,bool)| -mem(C,A)|ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A)),B),ap(c_2Eoption_2ESOME(A),C)),c_2Eoption_2ENONE(A))=c_2Eoption_2ENONE(A)|p(B).
% 3.05/3.20 ** KEPT (pick-wt=26): 79 [copy,78,factor_simp] -ne(A)| -mem(B,bool)| -mem(C,A)|ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A)),B),c_2Eoption_2ENONE(A)),ap(c_2Eoption_2ESOME(A),C))!=c_2Eoption_2ENONE(A)|p(B).
% 3.05/3.20 ** KEPT (pick-wt=26): 81 [copy,80,factor_simp] -ne(A)| -mem(B,bool)| -mem(C,A)|ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A)),B),c_2Eoption_2ENONE(A)),ap(c_2Eoption_2ESOME(A),C))=c_2Eoption_2ENONE(A)| -p(B).
% 3.05/3.20 ** KEPT (pick-wt=31): 82 [] -ne(A)| -mem(B,bool)| -mem(C,A)| -mem(D,A)|ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A)),B),ap(c_2Eoption_2ESOME(A),C)),c_2Eoption_2ENONE(A))!=ap(c_2Eoption_2ESOME(A),D)|p(B).
% 3.05/3.20 ** KEPT (pick-wt=32): 83 [] -ne(A)| -mem(B,bool)| -mem(C,A)| -mem(D,A)|ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A)),B),ap(c_2Eoption_2ESOME(A),C)),c_2Eoption_2ENONE(A))!=ap(c_2Eoption_2ESOME(A),D)|C=D.
% 3.05/3.20 ** KEPT (pick-wt=34): 84 [] -ne(A)| -mem(B,bool)| -mem(C,A)| -mem(D,A)|ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A)),B),ap(c_2Eoption_2ESOME(A),C)),c_2Eoption_2ENONE(A))=ap(c_2Eoption_2ESOME(A),D)| -p(B)|C!=D.
% 3.05/3.20 ** KEPT (pick-wt=31): 85 [] -ne(A)| -mem(B,bool)| -mem(C,A)| -mem(D,A)|ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A)),B),c_2Eoption_2ENONE(A)),ap(c_2Eoption_2ESOME(A),C))!=ap(c_2Eoption_2ESOME(A),D)| -p(B).
% 3.05/3.20 ** KEPT (pick-wt=32): 86 [] -ne(A)| -mem(B,bool)| -mem(C,A)| -mem(D,A)|ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A)),B),c_2Eoption_2ENONE(A)),ap(c_2Eoption_2ESOME(A),C))!=ap(c_2Eoption_2ESOME(A),D)|C=D.
% 3.05/3.20 ** KEPT (pick-wt=34): 87 [] -ne(A)| -mem(B,bool)| -mem(C,A)| -mem(D,A)|ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A)),B),c_2Eoption_2ENONE(A)),ap(c_2Eoption_2ESOME(A),C))=ap(c_2Eoption_2ESOME(A),D)|p(B)|C!=D.
% 3.05/3.20 ** KEPT (pick-wt=27): 88 [] -ne(A)| -ne(B)| -mem(C,arr(B,A))| -mem(D,ty_2Eoption_2Eoption(B))|ap(ap(c_2Eoption_2EOPTION__MAP(B,A),C),D)!=c_2Eoption_2ENONE(A)|D=c_2Eoption_2ENONE(B).
% 3.05/3.20 ** KEPT (pick-wt=27): 89 [] -ne(A)| -ne(B)| -mem(C,arr(B,A))| -mem(D,ty_2Eoption_2Eoption(B))|ap(ap(c_2Eoption_2EOPTION__MAP(B,A),C),D)=c_2Eoption_2ENONE(A)|D!=c_2Eoption_2ENONE(B).
% 3.11/3.27 ** KEPT (pick-wt=27): 90 [] -ne(A)| -ne(B)| -mem(C,arr(B,A))| -mem(D,ty_2Eoption_2Eoption(B))|c_2Eoption_2ENONE(A)!=ap(ap(c_2Eoption_2EOPTION__MAP(B,A),C),D)|D=c_2Eoption_2ENONE(B).
% 3.11/3.27 ** KEPT (pick-wt=27): 91 [] -ne(A)| -ne(B)| -mem(C,arr(B,A))| -mem(D,ty_2Eoption_2Eoption(B))|c_2Eoption_2ENONE(A)=ap(ap(c_2Eoption_2EOPTION__MAP(B,A),C),D)|D!=c_2Eoption_2ENONE(B).
% 3.11/3.27 ** KEPT (pick-wt=35): 93 [copy,92,flip.3] -ne(A)| -mem(B,arr(A,bool))|ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A)),ap(c_2Ebool_2E_3F(A),f49(A,B))),ap(c_2Eoption_2ESOME(A),ap(c_2Emin_2E_40(A),f108(A,B)))),c_2Eoption_2ENONE(A))=ap(c_2Eoption_2Esome(A),B).
% 3.11/3.27 ** KEPT (pick-wt=37): 94 [] -ne(A)| -ne(B)| -mem(C,arr(A,B))| -mem(D,arr(A,bool))| -mem(E,B)| -mem(F,A)| -p(ap(ap(ap(ap(c_2EpatternMatches_2EPMATCH__ROW__COND(A,B),C),D),E),F))|ap(C,F)=E.
% 3.11/3.27 ** KEPT (pick-wt=36): 95 [] -ne(A)| -ne(B)| -mem(C,arr(A,B))| -mem(D,arr(A,bool))| -mem(E,B)| -mem(F,A)| -p(ap(ap(ap(ap(c_2EpatternMatches_2EPMATCH__ROW__COND(A,B),C),D),E),F))|p(ap(D,F)).
% 3.11/3.27 ** KEPT (pick-wt=41): 96 [] -ne(A)| -ne(B)| -mem(C,arr(A,B))| -mem(D,arr(A,bool))| -mem(E,B)| -mem(F,A)|p(ap(ap(ap(ap(c_2EpatternMatches_2EPMATCH__ROW__COND(A,B),C),D),E),F))|ap(C,F)!=E| -p(ap(D,F)).
% 3.11/3.27 ** KEPT (pick-wt=52): 97 [] -ne(A)| -ne(B)| -ne(C)| -mem(D,arr(B,C))| -mem(E,arr(B,bool))| -mem(F,arr(B,A))| -mem(G,C)|ap(ap(ap(ap(c_2EpatternMatches_2EPMATCH__ROW(A,B,C),D),E),F),G)=ap(ap(c_2Eoption_2EOPTION__MAP(B,A),F),ap(c_2Eoption_2Esome(B),f822(C,B,G,D,E))).
% 3.11/3.27 ** KEPT (pick-wt=62): 98 [] -ne(A)| -ne(B)| -ne(C)| -mem(D,arr(B,C))| -mem(E,arr(B,bool))| -mem(F,arr(B,arr(B,ty_2Eoption_2Eoption(A))))| -mem(G,C)|ap(ap(ap(ap(c_2EpatternMatches_2EPMATCH__FLATTEN__FUN(A,B,C),D),E),F),G)=ap(ap(ap(c_2Eoption_2Eoption__CASE(B,ty_2Eoption_2Eoption(A)),ap(c_2Eoption_2Esome(B),f850(C,B,G,D,E))),c_2Eoption_2ENONE(A)),f851(A,B,F)).
% 3.11/3.27 ** KEPT (pick-wt=16): 99 [] -mem(A,$c9)| -mem(B,$c9)|ap($c5,A)!=ap($c5,B)|A=B.
% 3.11/3.27 ** KEPT (pick-wt=42): 101 [copy,100,flip.1] ap(ap(ap(c_2EpatternMatches_2EPMATCH__ROW($c6,$c7,$c8),f860($c9,$c8,$c7,$c3,$c5)),f861($c9,$c7,$c4,$c2,$c3)),f862($c6,$c9,$c7,$c1,$c3))!=ap(ap(ap(c_2EpatternMatches_2EPMATCH__FLATTEN__FUN($c6,$c9,$c8),$c5),$c4),f859($c6,$c7,$c9,$c3,$c2,$c1)).
% 3.11/3.27
% 3.11/3.27 ------------> process sos:
% 3.11/3.27 ** KEPT (pick-wt=3): 233 [] A=A.
% 3.11/3.27 ** KEPT (pick-wt=2): 234 [] ne(bool).
% 3.11/3.27 ** KEPT (pick-wt=2): 235 [] ne(ind).
% 3.11/3.27 ** KEPT (pick-wt=3): 236 [] mem(c_2Ebool_2ET,bool).
% 3.11/3.27 ** KEPT (pick-wt=2): 237 [] p(c_2Ebool_2ET).
% 3.11/3.27 ** KEPT (pick-wt=3): 238 [] mem(c_2Ebool_2EF,bool).
% 3.11/3.27 ** KEPT (pick-wt=7): 239 [] mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))).
% 3.11/3.27 ** KEPT (pick-wt=7): 240 [] mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool))).
% 3.11/3.27 ** KEPT (pick-wt=7): 241 [] mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))).
% 3.11/3.27 ** KEPT (pick-wt=5): 242 [] mem(c_2Ebool_2E_7E,arr(bool,bool)).
% 3.11/3.27 ** KEPT (pick-wt=2): 243 [] ne($c9).
% 3.11/3.27 ** KEPT (pick-wt=2): 244 [] ne($c8).
% 3.11/3.27 ** KEPT (pick-wt=2): 245 [] ne($c7).
% 3.11/3.27 ** KEPT (pick-wt=2): 246 [] ne($c6).
% 3.11/3.27 ** KEPT (pick-wt=5): 247 [] mem($c5,arr($c9,$c8)).
% 3.11/3.27 ** KEPT (pick-wt=5): 248 [] mem($c4,arr($c9,bool)).
% 3.11/3.27 ** KEPT (pick-wt=5): 249 [] mem($c3,arr($c7,$c9)).
% 3.11/3.27 ** KEPT (pick-wt=7): 250 [] mem($c2,arr($c9,arr($c7,bool))).
% 3.11/3.27 ** KEPT (pick-wt=7): 251 [] mem($c1,arr($c9,arr($c7,$c6))).
% 3.11/3.27 Following clause subsumed by 233 during input processing: 0 [copy,233,flip.1] A=A.
% 3.11/3.27 233 back subsumes 195.
% 3.11/3.27 233 back subsumes 194.
% 3.11/3.27 233 back subsumes 193.
% 3.11/3.27 233 back subsumes 190.
% 3.11/3.27 233 back subsumes 136.
% 3.11/3.27 233 back subsumes 128.
% 3.11/3.27 233 back subsumes 126.
% 3.11/3.27 233 back subsumes 124.
% 3.11/3.27 233 back subsumes 106.
% 3.11/3.27 233 back subsumes 105.
% 3.11/3.27 233 back subsumes 104.
% 3.11/3.27 233 back subsumes 103.
% 3.11/3.27 233 back subsumes 45.
% 3.11/3.27
% 3.11/3.27 ======= end of input processing =======
% 3.11/3.27
% 3.11/3.27 =========== start of search ===========
% 3.11/3.27
% 3.11/3.27
% 3.11/3.27 Resetting weight limit to 2.
% 3.11/3.27
% 3.11/3.27
% 3.11/3.27 Resetting weight limit to 2.
% 3.11/3.27
% 3.11/3.27 sos_size=18
% 3.11/3.27
% 3.11/3.27 Search stopped because sos empty.
% 3.11/3.27
% 3.11/3.27
% 3.11/3.27 Search stopped because sos empty.
% 3.11/3.27
% 3.11/3.27 ============ end of search ============
% 3.11/3.27
% 3.11/3.27 -------------- statistics -------------
% 3.11/3.27 clauses given 19
% 3.11/3.27 clauses generated 3023
% 3.11/3.27 clauses kept 243
% 3.11/3.27 clauses forward subsumed 96
% 3.11/3.27 clauses back subsumed 13
% 3.11/3.27 Kbytes malloced 4882
% 3.11/3.27
% 3.11/3.27 ----------- times (seconds) -----------
% 3.11/3.27 user CPU time 0.14 (0 hr, 0 min, 0 sec)
% 3.11/3.27 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 3.11/3.27 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 3.11/3.27
% 3.11/3.27 Process 11549 finished Wed Jul 27 02:57:27 2022
% 3.11/3.27 Otter interrupted
% 3.11/3.27 PROOF NOT FOUND
%------------------------------------------------------------------------------