TSTP Solution File: ITP023+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : ITP023+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n021.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 12:59:11 EDT 2022
% Result : Unknown 45.57s 45.86s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.16 % Problem : ITP023+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.03/0.17 % Command : otter-tptp-script %s
% 0.12/0.38 % Computer : n021.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8042.1875MB
% 0.12/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Wed Jul 27 02:36:38 EDT 2022
% 0.12/0.38 % CPUTime :
% 2.25/2.48 ----- Otter 3.3f, August 2004 -----
% 2.25/2.48 The process was started by sandbox on n021.cluster.edu,
% 2.25/2.48 Wed Jul 27 02:36:38 2022
% 2.25/2.48 The command was "./otter". The process ID is 30453.
% 2.25/2.48
% 2.25/2.48 set(prolog_style_variables).
% 2.25/2.48 set(auto).
% 2.25/2.48 dependent: set(auto1).
% 2.25/2.48 dependent: set(process_input).
% 2.25/2.48 dependent: clear(print_kept).
% 2.25/2.48 dependent: clear(print_new_demod).
% 2.25/2.48 dependent: clear(print_back_demod).
% 2.25/2.48 dependent: clear(print_back_sub).
% 2.25/2.48 dependent: set(control_memory).
% 2.25/2.48 dependent: assign(max_mem, 12000).
% 2.25/2.48 dependent: assign(pick_given_ratio, 4).
% 2.25/2.48 dependent: assign(stats_level, 1).
% 2.25/2.48 dependent: assign(max_seconds, 10800).
% 2.25/2.48 clear(print_given).
% 2.25/2.48
% 2.25/2.48 formula_list(usable).
% 2.25/2.48 all A (A=A).
% 2.25/2.48 all A_27a A_27b V0f_2E0 V1g_2E0 ((all V2x_2E0 (s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0),s(A_27a,V2x_2E0)))=s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0)))))->s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0)=s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0)).
% 2.25/2.48 all V0_2E0 V1_2E0 ((p(s(tyop_2Emin_2Ebool,V0_2E0))<->p(s(tyop_2Emin_2Ebool,V1_2E0)))->s(tyop_2Emin_2Ebool,V0_2E0)=s(tyop_2Emin_2Ebool,V1_2E0)).
% 2.25/2.48 p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 2.25/2.48 -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 2.25/2.48 all V0t_2E0 (s(tyop_2Emin_2Ebool,V0t_2E0)=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)|s(tyop_2Emin_2Ebool,V0t_2E0)=s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 2.25/2.48 all A_27a V0x_2E0 (s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),combin_i_2E0),s(A_27a,V0x_2E0)))=s(A_27a,V0x_2E0)).
% 2.25/2.48 all A_27a A_27b V0x_2E0 V1y_2E0 (s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27a)),combin_k_2E0),s(A_27a,V0x_2E0))),s(A_27b,V1y_2E0)))=s(A_27a,V0x_2E0)).
% 2.25/2.48 all A_27a A_27b A_27c V0f_2E0 V1g_2E0 V2x_2E0 (s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c))),combin_s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0))),s(A_27a,V2x_2E0)))=s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27c),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0),s(A_27a,V2x_2E0))),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0)))))).
% 2.25/2.48 all V0_2E0 V1_2E0 (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))<->p(s(tyop_2Emin_2Ebool,V0_2E0))&p(s(tyop_2Emin_2Ebool,V1_2E0))).
% 2.25/2.48 all V0_2E0 V1_2E0 (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))<->p(s(tyop_2Emin_2Ebool,V0_2E0))|p(s(tyop_2Emin_2Ebool,V1_2E0))).
% 2.25/2.48 all V0_2E0 (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))<-> -p(s(tyop_2Emin_2Ebool,V0_2E0))).
% 2.25/2.48 all V0_2E0 V1_2E0 (p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))<-> (p(s(tyop_2Emin_2Ebool,V0_2E0))->p(s(tyop_2Emin_2Ebool,V1_2E0)))).
% 2.25/2.48 all A_27a V0_2E0 V1_2E0 (p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0))))<->s(A_27a,V0_2E0)=s(A_27a,V1_2E0)).
% 2.25/2.48 all A_27a V0f_2E0 (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))<-> (all V1x_2E0 p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))))).
% 2.25/2.48 all A_27a V0f_2E0 (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))<-> (exists V1x_2E0 p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))))).
% 2.25/2.48 all X0_2E0 X1_2E0 (p(s(tyop_2Emin_2Ebool,X0_2E0))&p(s(tyop_2Emin_2Ebool,X1_2E0))<->p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))).
% 2.25/2.48 all X0_2E0 X1_2E0 (p(s(tyop_2Emin_2Ebool,X0_2E0))|p(s(tyop_2Emin_2Ebool,X1_2E0))<->p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))).
% 2.25/2.48 all X0_2E0 (-p(s(tyop_2Emin_2Ebool,X0_2E0))<->p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))))).
% 2.25/2.48 all X0_2E0 X1_2E0 ((p(s(tyop_2Emin_2Ebool,X0_2E0))->p(s(tyop_2Emin_2Ebool,X1_2E0)))<->p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))).
% 2.25/2.48 all A_27a X0_2E0 X1_2E0 (s(A_27a,X0_2E0)=s(A_27a,X1_2E0)<->p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0))))).
% 2.25/2.48 all A_27a X0_2E0 (s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))).
% 2.25/2.48 all A_27a X0_2E0 (s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))).
% 2.25/2.48 all X0_2E0 (s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X0_2E0)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ereal__topology_2Ebounded__def_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X0_2E0)))).
% 2.25/2.48 all X0_2E0 X1_2E0 (s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X0_2E0),s(tyop_2Erealax_2Ereal,X1_2E0)))=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal))),c_2Epair_2E_2C_2E0),s(tyop_2Erealax_2Ereal,X0_2E0))),s(tyop_2Erealax_2Ereal,X1_2E0)))).
% 2.25/2.48 all X0_2E0 (s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X0_2E0)))=s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),c_2Ereal__topology_2Eball_2E0),s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X0_2E0)))).
% 2.25/2.48 all X0_2E0 (s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X0_2E0)))=s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),c_2Ereal__topology_2Ecball_2E0),s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X0_2E0)))).
% 2.25/2.48 all X0_2E0 X1_2E0 (s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1_2E0)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Epred__set_2ESUBSET_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1_2E0)))).
% 2.25/2.48 p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 2.25/2.48 all V0t1_2E0 V1t2_2E0 ((p(s(tyop_2Emin_2Ebool,V0t1_2E0))->p(s(tyop_2Emin_2Ebool,V1t2_2E0)))-> ((p(s(tyop_2Emin_2Ebool,V1t2_2E0))->p(s(tyop_2Emin_2Ebool,V0t1_2E0)))->s(tyop_2Emin_2Ebool,V0t1_2E0)=s(tyop_2Emin_2Ebool,V1t2_2E0))).
% 2.25/2.48 all V0t_2E0 ((p(s(tyop_2Emin_2Ebool,V0t_2E0))->p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)))-> -p(s(tyop_2Emin_2Ebool,V0t_2E0))).
% 2.25/2.48 all V0t_2E0 (-p(s(tyop_2Emin_2Ebool,V0t_2E0))-> (p(s(tyop_2Emin_2Ebool,V0t_2E0))->p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)))).
% 2.25/2.48 all V0t_2E0 (((p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))->p(s(tyop_2Emin_2Ebool,V0t_2E0)))<->p(s(tyop_2Emin_2Ebool,V0t_2E0)))& ((p(s(tyop_2Emin_2Ebool,V0t_2E0))->p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)))<->p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)))& ((p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))->p(s(tyop_2Emin_2Ebool,V0t_2E0)))<->p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)))& ((p(s(tyop_2Emin_2Ebool,V0t_2E0))->p(s(tyop_2Emin_2Ebool,V0t_2E0)))<->p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)))& ((p(s(tyop_2Emin_2Ebool,V0t_2E0))->p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)))<-> -p(s(tyop_2Emin_2Ebool,V0t_2E0)))).
% 2.25/2.48 all V0t_2E0 (-(-p(s(tyop_2Emin_2Ebool,V0t_2E0)))<->p(s(tyop_2Emin_2Ebool,V0t_2E0))).
% 2.25/2.48 -p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))<->p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 2.25/2.48 -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))<->p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 2.25/2.48 all A_27a V0x_2E0 V1y_2E0 (s(A_27a,V0x_2E0)=s(A_27a,V1y_2E0)<->s(A_27a,V1y_2E0)=s(A_27a,V0x_2E0)).
% 2.25/2.48 all V0t_2E0 ((s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)=s(tyop_2Emin_2Ebool,V0t_2E0)<->p(s(tyop_2Emin_2Ebool,V0t_2E0)))& (s(tyop_2Emin_2Ebool,V0t_2E0)=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)<->p(s(tyop_2Emin_2Ebool,V0t_2E0)))& (s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)=s(tyop_2Emin_2Ebool,V0t_2E0)<-> -p(s(tyop_2Emin_2Ebool,V0t_2E0)))& (s(tyop_2Emin_2Ebool,V0t_2E0)=s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)<-> -p(s(tyop_2Emin_2Ebool,V0t_2E0)))).
% 2.25/2.48 all A_27a V0P_2E0 (-(all V1x_2E0 p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0),s(A_27a,V1x_2E0)))))<-> (exists V2x_2E0 (-p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0),s(A_27a,V2x_2E0))))))).
% 2.25/2.48 all V0A_2E0 V1B_2E0 V2C_2E0 (p(s(tyop_2Emin_2Ebool,V0A_2E0))|p(s(tyop_2Emin_2Ebool,V1B_2E0))|p(s(tyop_2Emin_2Ebool,V2C_2E0))<->p(s(tyop_2Emin_2Ebool,V0A_2E0))|p(s(tyop_2Emin_2Ebool,V1B_2E0))|p(s(tyop_2Emin_2Ebool,V2C_2E0))).
% 2.25/2.48 all V0A_2E0 V1B_2E0 (p(s(tyop_2Emin_2Ebool,V0A_2E0))|p(s(tyop_2Emin_2Ebool,V1B_2E0))<->p(s(tyop_2Emin_2Ebool,V1B_2E0))|p(s(tyop_2Emin_2Ebool,V0A_2E0))).
% 2.25/2.48 all V0A_2E0 V1B_2E0 ((-(p(s(tyop_2Emin_2Ebool,V0A_2E0))&p(s(tyop_2Emin_2Ebool,V1B_2E0)))<-> -p(s(tyop_2Emin_2Ebool,V0A_2E0))| -p(s(tyop_2Emin_2Ebool,V1B_2E0)))& (-(p(s(tyop_2Emin_2Ebool,V0A_2E0))|p(s(tyop_2Emin_2Ebool,V1B_2E0)))<-> -p(s(tyop_2Emin_2Ebool,V0A_2E0))& -p(s(tyop_2Emin_2Ebool,V1B_2E0)))).
% 2.25/2.48 all V0x_2E0 V1e_2E0 p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,V0x_2E0),s(tyop_2Erealax_2Ereal,V1e_2E0))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,V0x_2E0),s(tyop_2Erealax_2Ereal,V1e_2E0)))))))).
% 2.25/2.48 all V0s_2E0 V1t_2E0 (p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),V1t_2E0))))&p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),V1t_2E0))))->p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),V0s_2E0))))).
% 2.25/2.48 all V0x_2E0 V1e_2E0 p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,V0x_2E0),s(tyop_2Erealax_2Ereal,V1e_2E0)))))))).
% 2.25/2.48 all V0t_2E0 (-(-p(s(tyop_2Emin_2Ebool,V0t_2E0)))<->p(s(tyop_2Emin_2Ebool,V0t_2E0))).
% 2.25/2.48 all V0A_2E0 (p(s(tyop_2Emin_2Ebool,V0A_2E0))-> (-p(s(tyop_2Emin_2Ebool,V0A_2E0))->p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)))).
% 2.25/2.48 all V0B_2E0 V1A_2E0 ((-(p(s(tyop_2Emin_2Ebool,V1A_2E0))|p(s(tyop_2Emin_2Ebool,V0B_2E0)))->p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)))<-> ((p(s(tyop_2Emin_2Ebool,V1A_2E0))->p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)))-> (-p(s(tyop_2Emin_2Ebool,V0B_2E0))->p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))))).
% 2.25/2.48 all V0B_2E0 V1A_2E0 ((-(-p(s(tyop_2Emin_2Ebool,V1A_2E0))|p(s(tyop_2Emin_2Ebool,V0B_2E0)))->p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)))<-> (p(s(tyop_2Emin_2Ebool,V1A_2E0))-> (-p(s(tyop_2Emin_2Ebool,V0B_2E0))->p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))))).
% 2.25/2.48 all V0A_2E0 ((-p(s(tyop_2Emin_2Ebool,V0A_2E0))->p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)))-> ((p(s(tyop_2Emin_2Ebool,V0A_2E0))->p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)))->p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)))).
% 2.25/2.48 all V0r_2E0 V1q_2E0 V2p_2E0 ((p(s(tyop_2Emin_2Ebool,V2p_2E0))<->s(tyop_2Emin_2Ebool,V1q_2E0)=s(tyop_2Emin_2Ebool,V0r_2E0))<-> (p(s(tyop_2Emin_2Ebool,V2p_2E0))|p(s(tyop_2Emin_2Ebool,V1q_2E0))|p(s(tyop_2Emin_2Ebool,V0r_2E0)))& (p(s(tyop_2Emin_2Ebool,V2p_2E0))| -p(s(tyop_2Emin_2Ebool,V0r_2E0))| -p(s(tyop_2Emin_2Ebool,V1q_2E0)))& (p(s(tyop_2Emin_2Ebool,V1q_2E0))| -p(s(tyop_2Emin_2Ebool,V0r_2E0))| -p(s(tyop_2Emin_2Ebool,V2p_2E0)))& (p(s(tyop_2Emin_2Ebool,V0r_2E0))| -p(s(tyop_2Emin_2Ebool,V1q_2E0))| -p(s(tyop_2Emin_2Ebool,V2p_2E0)))).
% 2.25/2.48 all V0r_2E0 V1q_2E0 V2p_2E0 ((p(s(tyop_2Emin_2Ebool,V2p_2E0))<->p(s(tyop_2Emin_2Ebool,V1q_2E0))&p(s(tyop_2Emin_2Ebool,V0r_2E0)))<-> (p(s(tyop_2Emin_2Ebool,V2p_2E0))| -p(s(tyop_2Emin_2Ebool,V1q_2E0))| -p(s(tyop_2Emin_2Ebool,V0r_2E0)))& (p(s(tyop_2Emin_2Ebool,V1q_2E0))| -p(s(tyop_2Emin_2Ebool,V2p_2E0)))& (p(s(tyop_2Emin_2Ebool,V0r_2E0))| -p(s(tyop_2Emin_2Ebool,V2p_2E0)))).
% 2.25/2.48 all V0r_2E0 V1q_2E0 V2p_2E0 ((p(s(tyop_2Emin_2Ebool,V2p_2E0))<->p(s(tyop_2Emin_2Ebool,V1q_2E0))|p(s(tyop_2Emin_2Ebool,V0r_2E0)))<-> (p(s(tyop_2Emin_2Ebool,V2p_2E0))| -p(s(tyop_2Emin_2Ebool,V1q_2E0)))& (p(s(tyop_2Emin_2Ebool,V2p_2E0))| -p(s(tyop_2Emin_2Ebool,V0r_2E0)))& (p(s(tyop_2Emin_2Ebool,V1q_2E0))|p(s(tyop_2Emin_2Ebool,V0r_2E0))| -p(s(tyop_2Emin_2Ebool,V2p_2E0)))).
% 2.25/2.48 all V0r_2E0 V1q_2E0 V2p_2E0 ((p(s(tyop_2Emin_2Ebool,V2p_2E0))<-> (p(s(tyop_2Emin_2Ebool,V1q_2E0))->p(s(tyop_2Emin_2Ebool,V0r_2E0))))<-> (p(s(tyop_2Emin_2Ebool,V2p_2E0))|p(s(tyop_2Emin_2Ebool,V1q_2E0)))& (p(s(tyop_2Emin_2Ebool,V2p_2E0))| -p(s(tyop_2Emin_2Ebool,V0r_2E0)))& (-p(s(tyop_2Emin_2Ebool,V1q_2E0))|p(s(tyop_2Emin_2Ebool,V0r_2E0))| -p(s(tyop_2Emin_2Ebool,V2p_2E0)))).
% 2.25/2.48 all V0q_2E0 V1p_2E0 ((p(s(tyop_2Emin_2Ebool,V1p_2E0))<-> -p(s(tyop_2Emin_2Ebool,V0q_2E0)))<-> (p(s(tyop_2Emin_2Ebool,V1p_2E0))|p(s(tyop_2Emin_2Ebool,V0q_2E0)))& (-p(s(tyop_2Emin_2Ebool,V0q_2E0))| -p(s(tyop_2Emin_2Ebool,V1p_2E0)))).
% 2.25/2.48 -(all V0x_2E0 V1e_2E0 p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,V0x_2E0),s(tyop_2Erealax_2Ereal,V1e_2E0))))))))).
% 2.25/2.48 end_of_list.
% 2.25/2.48
% 2.25/2.48 -------> usable clausifies to:
% 2.25/2.48
% 2.25/2.48 list(usable).
% 2.25/2.48 0 [] A=A.
% 2.25/2.48 0 [] s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0),s(A_27a,$f1(A_27a,A_27b,V0f_2E0,V1g_2E0))))!=s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,$f1(A_27a,A_27b,V0f_2E0,V1g_2E0))))|s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0)=s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0).
% 2.25/2.48 0 [] p(s(tyop_2Emin_2Ebool,V0_2E0))|p(s(tyop_2Emin_2Ebool,V1_2E0))|s(tyop_2Emin_2Ebool,V0_2E0)=s(tyop_2Emin_2Ebool,V1_2E0).
% 2.25/2.48 0 [] -p(s(tyop_2Emin_2Ebool,V0_2E0))| -p(s(tyop_2Emin_2Ebool,V1_2E0))|s(tyop_2Emin_2Ebool,V0_2E0)=s(tyop_2Emin_2Ebool,V1_2E0).
% 2.25/2.48 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 2.25/2.48 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 2.25/2.48 0 [] s(tyop_2Emin_2Ebool,V0t_2E0)=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)|s(tyop_2Emin_2Ebool,V0t_2E0)=s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0).
% 2.25/2.48 0 [] s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),combin_i_2E0),s(A_27a,V0x_2E0)))=s(A_27a,V0x_2E0).
% 2.25/2.48 0 [] s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27a)),combin_k_2E0),s(A_27a,V0x_2E0))),s(A_27b,V1y_2E0)))=s(A_27a,V0x_2E0).
% 2.25/2.48 0 [] s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c))),combin_s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0))),s(A_27a,V2x_2E0)))=s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27c),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0),s(A_27a,V2x_2E0))),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0))))).
% 2.25/2.48 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))|p(s(tyop_2Emin_2Ebool,V0_2E0)).
% 2.25/2.48 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))|p(s(tyop_2Emin_2Ebool,V1_2E0)).
% 2.25/2.48 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))| -p(s(tyop_2Emin_2Ebool,V0_2E0))| -p(s(tyop_2Emin_2Ebool,V1_2E0)).
% 2.25/2.48 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))|p(s(tyop_2Emin_2Ebool,V0_2E0))|p(s(tyop_2Emin_2Ebool,V1_2E0)).
% 2.25/2.48 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))| -p(s(tyop_2Emin_2Ebool,V0_2E0)).
% 2.25/2.48 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))| -p(s(tyop_2Emin_2Ebool,V1_2E0)).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))| -p(s(tyop_2Emin_2Ebool,V0_2E0)).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))|p(s(tyop_2Emin_2Ebool,V0_2E0)).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))| -p(s(tyop_2Emin_2Ebool,V0_2E0))|p(s(tyop_2Emin_2Ebool,V1_2E0)).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))|p(s(tyop_2Emin_2Ebool,V0_2E0)).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))| -p(s(tyop_2Emin_2Ebool,V1_2E0)).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0))))|s(A_27a,V0_2E0)=s(A_27a,V1_2E0).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0))))|s(A_27a,V0_2E0)!=s(A_27a,V1_2E0).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,$f2(A_27a,V0f_2E0))))).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,$f3(A_27a,V0f_2E0))))).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,X0_2E0))| -p(s(tyop_2Emin_2Ebool,X1_2E0))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,X0_2E0))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,X1_2E0))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,X0_2E0))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,X1_2E0))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,X0_2E0))|p(s(tyop_2Emin_2Ebool,X1_2E0))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,X0_2E0))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0)))).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,X0_2E0))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0)))).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,X0_2E0))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,X1_2E0))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,X0_2E0))|p(s(tyop_2Emin_2Ebool,X1_2E0))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))).
% 2.25/2.49 0 [] s(A_27a,X0_2E0)!=s(A_27a,X1_2E0)|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))).
% 2.25/2.49 0 [] s(A_27a,X0_2E0)=s(A_27a,X1_2E0)| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))).
% 2.25/2.49 0 [] s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))).
% 2.25/2.49 0 [] s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))).
% 2.25/2.49 0 [] s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X0_2E0)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ereal__topology_2Ebounded__def_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X0_2E0))).
% 2.25/2.49 0 [] s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X0_2E0),s(tyop_2Erealax_2Ereal,X1_2E0)))=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal))),c_2Epair_2E_2C_2E0),s(tyop_2Erealax_2Ereal,X0_2E0))),s(tyop_2Erealax_2Ereal,X1_2E0))).
% 2.25/2.49 0 [] s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X0_2E0)))=s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),c_2Ereal__topology_2Eball_2E0),s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X0_2E0))).
% 2.25/2.49 0 [] s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X0_2E0)))=s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),c_2Ereal__topology_2Ecball_2E0),s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X0_2E0))).
% 2.25/2.49 0 [] s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1_2E0)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Epred__set_2ESUBSET_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1_2E0))).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,V0t1_2E0))|p(s(tyop_2Emin_2Ebool,V1t2_2E0))|s(tyop_2Emin_2Ebool,V0t1_2E0)=s(tyop_2Emin_2Ebool,V1t2_2E0).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,V1t2_2E0))| -p(s(tyop_2Emin_2Ebool,V0t1_2E0))|s(tyop_2Emin_2Ebool,V0t1_2E0)=s(tyop_2Emin_2Ebool,V1t2_2E0).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))| -p(s(tyop_2Emin_2Ebool,V0t_2E0)).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))|p(s(tyop_2Emin_2Ebool,V0t_2E0))| -p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))| -p(s(tyop_2Emin_2Ebool,V0t_2E0)).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))|p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))| -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))|p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))| -p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 2.25/2.49 0 [] s(A_27a,V0x_2E0)!=s(A_27a,V1y_2E0)|s(A_27a,V1y_2E0)=s(A_27a,V0x_2E0).
% 2.25/2.49 0 [] s(A_27a,V0x_2E0)=s(A_27a,V1y_2E0)|s(A_27a,V1y_2E0)!=s(A_27a,V0x_2E0).
% 2.25/2.49 0 [] s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)!=s(tyop_2Emin_2Ebool,V0t_2E0)|p(s(tyop_2Emin_2Ebool,V0t_2E0)).
% 2.25/2.49 0 [] s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)=s(tyop_2Emin_2Ebool,V0t_2E0)| -p(s(tyop_2Emin_2Ebool,V0t_2E0)).
% 2.25/2.49 0 [] s(tyop_2Emin_2Ebool,V0t_2E0)!=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)|p(s(tyop_2Emin_2Ebool,V0t_2E0)).
% 2.25/2.49 0 [] s(tyop_2Emin_2Ebool,V0t_2E0)=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)| -p(s(tyop_2Emin_2Ebool,V0t_2E0)).
% 2.25/2.49 0 [] s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)!=s(tyop_2Emin_2Ebool,V0t_2E0)| -p(s(tyop_2Emin_2Ebool,V0t_2E0)).
% 2.25/2.49 0 [] s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)=s(tyop_2Emin_2Ebool,V0t_2E0)|p(s(tyop_2Emin_2Ebool,V0t_2E0)).
% 2.25/2.49 0 [] s(tyop_2Emin_2Ebool,V0t_2E0)!=s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)| -p(s(tyop_2Emin_2Ebool,V0t_2E0)).
% 2.25/2.49 0 [] s(tyop_2Emin_2Ebool,V0t_2E0)=s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)|p(s(tyop_2Emin_2Ebool,V0t_2E0)).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0),s(A_27a,V1x_2E0))))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0),s(A_27a,$f4(A_27a,V0P_2E0))))).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0),s(A_27a,$f5(A_27a,V0P_2E0)))))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0),s(A_27a,V2x_2E0)))).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,V0x_2E0),s(tyop_2Erealax_2Ereal,V1e_2E0))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,V0x_2E0),s(tyop_2Erealax_2Ereal,V1e_2E0)))))))).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),V1t_2E0))))| -p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),V1t_2E0))))|p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),V0s_2E0)))).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,V0x_2E0),s(tyop_2Erealax_2Ereal,V1e_2E0)))))))).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,V2p_2E0))|s(tyop_2Emin_2Ebool,V1q_2E0)=s(tyop_2Emin_2Ebool,V0r_2E0)|p(s(tyop_2Emin_2Ebool,V1q_2E0))|p(s(tyop_2Emin_2Ebool,V0r_2E0)).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,V2p_2E0))|s(tyop_2Emin_2Ebool,V1q_2E0)=s(tyop_2Emin_2Ebool,V0r_2E0)| -p(s(tyop_2Emin_2Ebool,V0r_2E0))| -p(s(tyop_2Emin_2Ebool,V1q_2E0)).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,V2p_2E0))|s(tyop_2Emin_2Ebool,V1q_2E0)!=s(tyop_2Emin_2Ebool,V0r_2E0)|p(s(tyop_2Emin_2Ebool,V1q_2E0))| -p(s(tyop_2Emin_2Ebool,V0r_2E0)).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,V2p_2E0))|s(tyop_2Emin_2Ebool,V1q_2E0)!=s(tyop_2Emin_2Ebool,V0r_2E0)|p(s(tyop_2Emin_2Ebool,V0r_2E0))| -p(s(tyop_2Emin_2Ebool,V1q_2E0)).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,V2p_2E0))|s(tyop_2Emin_2Ebool,V1q_2E0)=s(tyop_2Emin_2Ebool,V0r_2E0)| -p(s(tyop_2Emin_2Ebool,V1q_2E0))| -p(s(tyop_2Emin_2Ebool,V0r_2E0)).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,V2p_2E0))|s(tyop_2Emin_2Ebool,V1q_2E0)=s(tyop_2Emin_2Ebool,V0r_2E0)|p(s(tyop_2Emin_2Ebool,V0r_2E0))|p(s(tyop_2Emin_2Ebool,V1q_2E0)).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,V2p_2E0))|s(tyop_2Emin_2Ebool,V1q_2E0)!=s(tyop_2Emin_2Ebool,V0r_2E0)| -p(s(tyop_2Emin_2Ebool,V1q_2E0))|p(s(tyop_2Emin_2Ebool,V0r_2E0)).
% 2.25/2.49 0 [] p(s(tyop_2Emin_2Ebool,V2p_2E0))|s(tyop_2Emin_2Ebool,V1q_2E0)!=s(tyop_2Emin_2Ebool,V0r_2E0)| -p(s(tyop_2Emin_2Ebool,V0r_2E0))|p(s(tyop_2Emin_2Ebool,V1q_2E0)).
% 2.25/2.49 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,$c2),s(tyop_2Erealax_2Ereal,$c1)))))))).
% 2.25/2.49 end_of_list.
% 2.25/2.49
% 2.25/2.49 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 2.25/2.49
% 2.25/2.49 This ia a non-Horn set with equality. The strategy will be
% 2.25/2.49 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.25/2.49 deletion, with positive clauses in sos and nonpositive
% 2.25/2.49 clauses in usable.
% 2.25/2.49
% 2.25/2.49 dependent: set(knuth_bendix).
% 2.25/2.49 dependent: set(anl_eq).
% 2.25/2.49 dependent: set(para_from).
% 2.25/2.49 dependent: set(para_into).
% 2.25/2.49 dependent: clear(para_from_right).
% 2.25/2.49 dependent: clear(para_into_right).
% 2.25/2.49 dependent: set(para_from_vars).
% 2.25/2.49 dependent: set(eq_units_both_ways).
% 2.25/2.49 dependent: set(dynamic_demod_all).
% 2.25/2.49 dependent: set(dynamic_demod).
% 2.25/2.49 dependent: set(order_eq).
% 2.25/2.49 dependent: set(back_demod).
% 2.25/2.49 dependent: set(lrpo).
% 2.25/2.49 dependent: set(hyper_res).
% 2.25/2.49 dependent: set(unit_deletion).
% 2.25/2.49 dependent: set(factor).
% 2.25/2.49
% 2.25/2.49 ------------> process usable:
% 2.25/2.49 ** KEPT (pick-wt=42): 1 [] s(A,app_2E2(s(tyop_2Emin_2Efun(B,A),C),s(B,$f1(B,A,C,D))))!=s(A,app_2E2(s(tyop_2Emin_2Efun(B,A),D),s(B,$f1(B,A,C,D))))|s(tyop_2Emin_2Efun(B,A),C)=s(tyop_2Emin_2Efun(B,A),D).
% 2.25/2.49 ** KEPT (pick-wt=15): 2 [] -p(s(tyop_2Emin_2Ebool,A))| -p(s(tyop_2Emin_2Ebool,B))|s(tyop_2Emin_2Ebool,A)=s(tyop_2Emin_2Ebool,B).
% 2.25/2.49 ** KEPT (pick-wt=4): 3 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 2.25/2.49 ** KEPT (pick-wt=14): 4 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,A),s(tyop_2Emin_2Ebool,B))))|p(s(tyop_2Emin_2Ebool,A)).
% 2.25/2.49 ** KEPT (pick-wt=14): 5 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,A),s(tyop_2Emin_2Ebool,B))))|p(s(tyop_2Emin_2Ebool,B)).
% 2.25/2.49 ** KEPT (pick-wt=18): 6 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,A),s(tyop_2Emin_2Ebool,B))))| -p(s(tyop_2Emin_2Ebool,A))| -p(s(tyop_2Emin_2Ebool,B)).
% 2.25/2.49 ** KEPT (pick-wt=18): 7 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,A),s(tyop_2Emin_2Ebool,B))))|p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,B)).
% 2.25/2.49 ** KEPT (pick-wt=14): 8 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,A),s(tyop_2Emin_2Ebool,B))))| -p(s(tyop_2Emin_2Ebool,A)).
% 2.25/2.49 ** KEPT (pick-wt=14): 9 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,A),s(tyop_2Emin_2Ebool,B))))| -p(s(tyop_2Emin_2Ebool,B)).
% 2.25/2.49 ** KEPT (pick-wt=11): 10 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,A))))| -p(s(tyop_2Emin_2Ebool,A)).
% 2.25/2.49 ** KEPT (pick-wt=18): 11 [] -p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,A),s(tyop_2Emin_2Ebool,B))))| -p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,B)).
% 2.25/2.49 ** KEPT (pick-wt=14): 12 [] p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,A),s(tyop_2Emin_2Ebool,B))))| -p(s(tyop_2Emin_2Ebool,B)).
% 2.25/2.49 ** KEPT (pick-wt=17): 13 [] -p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A,B),s(A,C))))|s(A,B)=s(A,C).
% 2.25/2.49 ** KEPT (pick-wt=17): 14 [] p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A,B),s(A,C))))|s(A,B)!=s(A,C).
% 2.25/2.49 ** KEPT (pick-wt=21): 15 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B))))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B),s(A,C)))).
% 2.25/2.49 ** KEPT (pick-wt=23): 16 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B))))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B),s(A,$f2(A,B))))).
% 2.25/2.49 ** KEPT (pick-wt=23): 17 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B))))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B),s(A,$f3(A,B))))).
% 2.25/2.49 ** KEPT (pick-wt=21): 18 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B))))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B),s(A,C)))).
% 2.25/2.49 ** KEPT (pick-wt=30): 19 [] -p(s(tyop_2Emin_2Ebool,A))| -p(s(tyop_2Emin_2Ebool,B))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,A))),s(tyop_2Emin_2Ebool,B)))).
% 2.25/2.49 ** KEPT (pick-wt=26): 20 [] p(s(tyop_2Emin_2Ebool,A))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,A))),s(tyop_2Emin_2Ebool,B)))).
% 2.25/2.49 ** KEPT (pick-wt=26): 21 [] p(s(tyop_2Emin_2Ebool,A))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,B))),s(tyop_2Emin_2Ebool,A)))).
% 2.25/2.49 ** KEPT (pick-wt=26): 22 [] -p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,A))),s(tyop_2Emin_2Ebool,B)))).
% 2.25/2.49 ** KEPT (pick-wt=26): 23 [] -p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,B))),s(tyop_2Emin_2Ebool,A)))).
% 2.25/2.49 ** KEPT (pick-wt=30): 24 [] p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,B))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,A))),s(tyop_2Emin_2Ebool,B)))).
% 2.25/2.49 ** KEPT (pick-wt=16): 25 [] -p(s(tyop_2Emin_2Ebool,A))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,A)))).
% 2.25/2.49 ** KEPT (pick-wt=26): 26 [] -p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,B))),s(tyop_2Emin_2Ebool,A)))).
% 2.25/2.49 ** KEPT (pick-wt=30): 27 [] -p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,B))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,A))),s(tyop_2Emin_2Ebool,B)))).
% 2.25/2.49 ** KEPT (pick-wt=29): 28 [] s(A,B)!=s(A,C)|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A,B))),s(A,C)))).
% 2.25/2.49 ** KEPT (pick-wt=29): 29 [] s(A,B)=s(A,C)| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A,B))),s(A,C)))).
% 2.25/2.49 Following clause subsumed by 2 during input processing: 0 [] -p(s(tyop_2Emin_2Ebool,A))| -p(s(tyop_2Emin_2Ebool,B))|s(tyop_2Emin_2Ebool,B)=s(tyop_2Emin_2Ebool,A).
% 2.25/2.49 Following clause subsumed by 3 during input processing: 0 [factor_simp] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 2.25/2.49 Following clause subsumed by 3 during input processing: 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))|p(s(tyop_2Emin_2Ebool,A))| -p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 2.25/2.49 Following clause subsumed by 3 during input processing: 0 [factor_simp] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 2.25/2.49 Following clause subsumed by 3 during input processing: 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))| -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 2.25/2.49 Following clause subsumed by 3 during input processing: 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))| -p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 2.25/2.49 ** KEPT (pick-wt=14): 30 [] s(A,B)!=s(A,C)|s(A,C)=s(A,B).
% 2.25/2.49 Following clause subsumed by 30 during input processing: 0 [] s(A,B)=s(A,C)|s(A,C)!=s(A,B).
% 2.25/2.49 ** KEPT (pick-wt=11): 31 [] s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)!=s(tyop_2Emin_2Ebool,A)|p(s(tyop_2Emin_2Ebool,A)).
% 2.25/2.49 ** KEPT (pick-wt=11): 32 [] s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)=s(tyop_2Emin_2Ebool,A)| -p(s(tyop_2Emin_2Ebool,A)).
% 2.25/2.49 ** KEPT (pick-wt=11): 33 [] s(tyop_2Emin_2Ebool,A)!=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)|p(s(tyop_2Emin_2Ebool,A)).
% 2.25/2.49 ** KEPT (pick-wt=11): 34 [] s(tyop_2Emin_2Ebool,A)=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)| -p(s(tyop_2Emin_2Ebool,A)).
% 2.25/2.49 ** KEPT (pick-wt=11): 35 [] s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)!=s(tyop_2Emin_2Ebool,A)| -p(s(tyop_2Emin_2Ebool,A)).
% 2.25/2.49 ** KEPT (pick-wt=11): 36 [] s(tyop_2Emin_2Ebool,A)!=s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)| -p(s(tyop_2Emin_2Ebool,A)).
% 2.25/2.49 ** KEPT (pick-wt=26): 37 [] p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B),s(A,C))))| -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B),s(A,$f4(A,B))))).
% 2.25/2.49 ** KEPT (pick-wt=26): 38 [] -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B),s(A,$f5(A,B)))))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B),s(A,C)))).
% 2.25/2.49 ** KEPT (pick-wt=32): 39 [] -p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),A))))| -p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),B),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),A))))|p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),B)))).
% 2.25/2.49 Following clause subsumed by 2 during input processing: 0 [] p(s(tyop_2Emin_2Ebool,A))|s(tyop_2Emin_2Ebool,B)=s(tyop_2Emin_2Ebool,C)| -p(s(tyop_2Emin_2Ebool,C))| -p(s(tyop_2Emin_2Ebool,B)).
% 2.25/2.49 ** KEPT (pick-wt=15): 41 [copy,40,factor_simp] -p(s(tyop_2Emin_2Ebool,A))|s(tyop_2Emin_2Ebool,B)!=s(tyop_2Emin_2Ebool,A)|p(s(tyop_2Emin_2Ebool,B)).
% 2.25/2.49 ** KEPT (pick-wt=15): 43 [copy,42,factor_simp] -p(s(tyop_2Emin_2Ebool,A))|s(tyop_2Emin_2Ebool,A)!=s(tyop_2Emin_2Ebool,B)|p(s(tyop_2Emin_2Ebool,B)).
% 2.25/2.49 Following clause subsumed by 2 during input processing: 0 [factor_simp] -p(s(tyop_2Emin_2Ebool,B))|s(tyop_2Emin_2Ebool,B)=s(tyop_2Emin_2Ebool,C)| -p(s(tyop_2Emin_2Ebool,C)).
% 2.25/2.49 ** KEPT (pick-wt=19): 44 [] -p(s(tyop_2Emin_2Ebool,A))|s(tyop_2Emin_2Ebool,B)=s(tyop_2Emin_2Ebool,C)|p(s(tyop_2Emin_2Ebool,C))|p(s(tyop_2Emin_2Ebool,B)).
% 2.25/2.49 Following clause subsumed by 43 during input processing: 0 [factor_simp] p(s(tyop_2Emin_2Ebool,C))|s(tyop_2Emin_2Ebool,B)!=s(tyop_2Emin_2Ebool,C)| -p(s(tyop_2Emin_2Ebool,B)).
% 2.25/2.49 Following clause subsumed by 41 during input processing: 0 [factor_simp] p(s(tyop_2Emin_2Ebool,B))|s(tyop_2Emin_2Ebool,B)!=s(tyop_2Emin_2Ebool,C)| -p(s(tyop_2Emin_2Ebool,C)).
% 2.25/2.49 ** KEPT (pick-wt=20): 45 [] -p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,$c2),s(tyop_2Erealax_2Ereal,$c1)))))))).
% 2.25/2.49
% 2.25/2.49 ------------> process sos:
% 2.25/2.49 ** KEPT (pick-wt=3): 52 [] A=A.
% 2.25/2.49 ** KEPT (pick-wt=15): 53 [] p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,B))|s(tyop_2Emin_2Ebool,A)=s(tyop_2Emin_2Ebool,B).
% 2.25/2.49 ** KEPT (pick-wt=4): 54 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 2.25/2.49 ** KEPT (pick-wt=14): 55 [] s(tyop_2Emin_2Ebool,A)=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)|s(tyop_2Emin_2Ebool,A)=s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0).
% 2.25/2.49 ** KEPT (pick-wt=15): 56 [] s(A,app_2E2(s(tyop_2Emin_2Efun(A,A),combin_i_2E0),s(A,B)))=s(A,B).
% 2.25/2.49 ---> New Demodulator: 57 [new_demod,56] s(A,app_2E2(s(tyop_2Emin_2Efun(A,A),combin_i_2E0),s(A,B)))=s(A,B).
% 2.25/2.49 ** KEPT (pick-wt=25): 58 [] s(A,app_2E2(s(tyop_2Emin_2Efun(B,A),app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(B,A)),combin_k_2E0),s(A,C))),s(B,D)))=s(A,C).
% 2.25/2.49 ---> New Demodulator: 59 [new_demod,58] s(A,app_2E2(s(tyop_2Emin_2Efun(B,A),app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(B,A)),combin_k_2E0),s(A,C))),s(B,D)))=s(A,C).
% 2.25/2.49 ** KEPT (pick-wt=77): 60 [] s(A,app_2E2(s(tyop_2Emin_2Efun(B,A),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(B,C),tyop_2Emin_2Efun(B,A)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(B,tyop_2Emin_2Efun(C,A)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(B,C),tyop_2Emin_2Efun(B,A))),combin_s_2E0),s(tyop_2Emin_2Efun(B,tyop_2Emin_2Efun(C,A)),D))),s(tyop_2Emin_2Efun(B,C),E))),s(B,F)))=s(A,app_2E2(s(tyop_2Emin_2Efun(C,A),app_2E2(s(tyop_2Emin_2Efun(B,tyop_2Emin_2Efun(C,A)),D),s(B,F))),s(C,app_2E2(s(tyop_2Emin_2Efun(B,C),E),s(B,F))))).
% 2.25/2.49 ** KEPT (pick-wt=11): 61 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,A))))|p(s(tyop_2Emin_2Ebool,A)).
% 2.25/2.49 ** KEPT (pick-wt=14): 62 [] p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,A),s(tyop_2Emin_2Ebool,B))))|p(s(tyop_2Emin_2Ebool,A)).
% 2.25/2.49 ** KEPT (pick-wt=16): 63 [] p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,A)))).
% 2.25/2.49 ** KEPT (pick-wt=26): 64 [] p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,A))),s(tyop_2Emin_2Ebool,B)))).
% 2.25/2.49 ** KEPT (pick-wt=24): 65 [] s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B))).
% 2.25/2.49 ---> New Demodulator: 66 [new_demod,65] s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B))).
% 2.25/2.49 ** KEPT (pick-wt=24): 67 [] s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B))).
% 2.25/2.49 ---> New Demodulator: 68 [new_demod,67] s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool),B))).
% 2.25/2.49 ** KEPT (pick-wt=24): 69 [] s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),A)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ereal__topology_2Ebounded__def_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),A))).
% 2.25/2.49 ---> New Demodulator: 70 [new_demod,69] s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),A)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ereal__topology_2Ebounded__def_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),A))).
% 2.25/2.49 ** KEPT (pick-wt=39): 71 [] s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,A),s(tyop_2Erealax_2Ereal,B)))=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal))),c_2Epair_2E_2C_2E0),s(tyop_2Erealax_2Ereal,A))),s(tyop_2Erealax_2Ereal,B))).
% 2.25/2.49 ** KEPT (pick-wt=30): 72 [] s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),A)))=s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),c_2Ereal__topology_2Eball_2E0),s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),A))).
% 2.25/2.49 ---> New Demodulator: 73 [new_demod,72] s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),A)))=s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),c_2Ereal__topology_2Eball_2E0),s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),A))).
% 2.25/2.49 ** KEPT (pick-wt=30): 74 [] s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),A)))=s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),c_2Ereal__topology_2Ecball_2E0),s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),A))).
% 2.25/2.49 ---> New Demodulator: 75 [new_demod,74] s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),A)))=s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),c_2Ereal__topology_2Ecball_2E0),s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),A))).
% 2.25/2.49 ** KEPT (pick-wt=45): 76 [] s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),A),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),B)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Epred__set_2ESUBSET_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),A))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),B))).
% 2.25/2.49 Following clause subsumed by 54 during input processing: 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 2.25/2.49 Following clause subsumed by 53 during input processing: 0 [] p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,B))|s(tyop_2Emin_2Ebool,A)=s(tyop_2Emin_2Ebool,B).
% 2.25/2.49 Following clause subsumed by 54 during input processing: 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 2.25/2.49 Following clause subsumed by 54 during input processing: 0 [unit_del,3] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 2.25/2.49 Following clause subsumed by 54 during input processing: 0 [unit_del,3] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 2.25/2.49 ** KEPT (pick-wt=11): 77 [] s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)=s(tyop_2Emin_2Ebool,A)|p(s(tyop_2Emin_2Ebool,A)).
% 2.25/2.49 ** KEPT (pick-wt=11): 78 [] s(tyop_2Emin_2Ebool,A)=s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)|p(s(tyop_2Emin_2Ebool,A)).
% 2.25/2.49 ** KEPT (pick-wt=54): 80 [copy,79,demod,73,75] p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),c_2Ereal__topology_2Eball_2E0),s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,A),s(tyop_2Erealax_2Ereal,B))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),c_2Ereal__topology_2Ecball_2E0),s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,A),s(tyop_2Erealax_2Ereal,B)))))))).
% 2.25/2.49 ** KEPT (pick-wt=36): 82 [copy,81,demod,75,70] p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ereal__topology_2Ebounded__def_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),c_2Ereal__topology_2Ecball_2E0),s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,A),s(tyop_2Erealax_2Ereal,B)))))))).
% 2.25/2.49 Following clause subsumed by 53 during input processing: 0 [factor_simp] p(s(tyop_2Emin_2Ebool,B))|s(tyop_2Emin_2Ebool,B)=s(tyop_2Emin_2Ebool,C)|p(s(tyop_2Emin_2Ebool,C)).
% 2.25/2.49 Following clause subsumed by 52 during input processing: 0 [copy,52,flip.1] A=A.
% 2.25/2.49 52 back subsumes 51.
% 2.25/2.49 52 back subsumes 46.
% 2.25/2.49 53 back subsumes 44.
% 2.25/2.49 >>>> Starting back demodulation with 57.
% 2.25/2.49 >>>> Starting back demodulation with 59.
% 2.25/2.49 ** KEPT (pick-wt=77): 83 [copy,60,flip.1] s(A,app_2E2(s(tyop_2Emin_2Efun(B,A),app_2E2(s(tyop_2Emin_2Efun(C,tyop_2Emin_2Efun(B,A)),D),s(C,E))),s(B,app_2E2(s(tyop_2Emin_2Efun(C,B),F),s(C,E)))))=s(A,app_2E2(s(tyop_2Emin_2Efun(C,A),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(C,B),tyop_2Emin_2Efun(C,A)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(C,tyop_2Emin_2Efun(B,A)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(C,B),tyop_2Emin_2Efun(C,A))),combin_s_2E0),s(tyop_2Emin_2Efun(C,tyop_2Emin_2Efun(B,A)),D))),s(tyop_2Emin_2Efun(C,B),F))),s(C,E))).
% 2.25/2.49 >>>> Starting back demodulation with 66.
% 2.25/2.49 >> back demodulating 16 with 66.
% 2.25/2.49 >> back demodulating 15 with 66.
% 2.25/2.49 >>>> Starting back demodulation with 68.
% 2.25/2.49 >> back demodulating 18 with 68.
% 2.25/2.49 >> back demodulating 17 with 68.
% 2.25/2.49 >>>> Starting back demodulation with 70.
% 2.25/2.49 >> back demodulating 45 with 70.
% 2.25/2.49 >> back demodulating 39 with 70.
% 2.25/2.49 ** KEPT (pick-wt=39): 90 [copy,71,flip.1] s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal))),c_2Epair_2E_2C_2E0),s(tyop_2Erealax_2Ereal,A))),s(tyop_2Erealax_2Ereal,B)))=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,A),s(tyop_2Erealax_2Ereal,B))).
% 2.25/2.49 >>>> Starting back demodulation with 73.
% 2.25/2.49 >>>> Starting back demodulation with 75.
% 2.25/2.49 ** KEPT (pick-wt=45): 91 [copy,76,flip.1] s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Epred__set_2ESUBSET_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),A))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),B)))=s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),A),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),B))).
% 2.25/2.49 Following clause subsumed by 60 during input processing: 0 [copy,83,flip.1] s(A,app_2E2(s(tyop_2Emin_2Efun(B,A),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(B,C),tyop_2Emin_2Efun(B,A)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(B,tyop_2Emin_2Efun(C,A)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(B,C),tyop_2Emin_2Efun(B,A))),combin_s_2E0),s(tyop_2Emin_2Efun(B,tyop_2Emin_2Efun(C,A)),D))),s(tyop_2Emin_2Efun(B,C),E))),s(B,F)))=s(A,app_2E2(s(tyop_2Emin_2Efun(C,A),app_2E2(s(tyop_2Emin_2Efun(B,tyop_2Emin_2Efun(C,A)),D),s(B,F))),s(C,app_2E2(s(tyop_2Emin_2Efun(B,C),E),s(B,F))))).
% 2.25/2.49 Following clause subsumed by 71 during input processing: 0 [copy,90,flip.1] s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,A),s(tyop_2Erealax_2Ereal,B)))=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal))),c_2Epair_2E_2C_2E0),s(tyop_2Erealax_2Ereal,A))),s(tyop_2Erealax_2Ereal,B))).
% 2.25/2.49 Following clause subsumed by 76 during input processing: 0 [copy,91,flip.1] s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),A),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),B)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Epred__set_2ESUBSET_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),A))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),B))).
% 45.57/45.86
% 45.57/45.86 ======= end of input processing =======
% 45.57/45.86
% 45.57/45.86 =========== start of search ===========
% 45.57/45.86
% 45.57/45.86
% 45.57/45.86 Resetting weight limit to 14.
% 45.57/45.86
% 45.57/45.86
% 45.57/45.86 Resetting weight limit to 14.
% 45.57/45.86
% 45.57/45.86 sos_size=239
% 45.57/45.86
% 45.57/45.86 Search stopped because sos empty.
% 45.57/45.86
% 45.57/45.86
% 45.57/45.86 Search stopped because sos empty.
% 45.57/45.86
% 45.57/45.86 ============ end of search ============
% 45.57/45.86
% 45.57/45.86 -------------- statistics -------------
% 45.57/45.86 clauses given 311
% 45.57/45.86 clauses generated 1326279
% 45.57/45.86 clauses kept 384
% 45.57/45.86 clauses forward subsumed 10927
% 45.57/45.86 clauses back subsumed 5
% 45.57/45.86 Kbytes malloced 6835
% 45.57/45.86
% 45.57/45.86 ----------- times (seconds) -----------
% 45.57/45.86 user CPU time 43.38 (0 hr, 0 min, 43 sec)
% 45.57/45.86 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 45.57/45.86 wall-clock time 45 (0 hr, 0 min, 45 sec)
% 45.57/45.86
% 45.57/45.86 Process 30453 finished Wed Jul 27 02:37:23 2022
% 45.57/45.86 Otter interrupted
% 45.57/45.86 PROOF NOT FOUND
%------------------------------------------------------------------------------