TSTP Solution File: ITP008+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : ITP008+1 : 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 12:58:58 EDT 2022
% Result : Unknown 2.38s 2.55s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP008+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.03/0.13 % 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 03:01:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.27/2.45 ----- Otter 3.3f, August 2004 -----
% 2.27/2.45 The process was started by sandbox2 on n026.cluster.edu,
% 2.27/2.45 Wed Jul 27 03:01:10 2022
% 2.27/2.45 The command was "./otter". The process ID is 27275.
% 2.27/2.45
% 2.27/2.45 set(prolog_style_variables).
% 2.27/2.45 set(auto).
% 2.27/2.45 dependent: set(auto1).
% 2.27/2.45 dependent: set(process_input).
% 2.27/2.45 dependent: clear(print_kept).
% 2.27/2.45 dependent: clear(print_new_demod).
% 2.27/2.45 dependent: clear(print_back_demod).
% 2.27/2.45 dependent: clear(print_back_sub).
% 2.27/2.45 dependent: set(control_memory).
% 2.27/2.45 dependent: assign(max_mem, 12000).
% 2.27/2.45 dependent: assign(pick_given_ratio, 4).
% 2.27/2.45 dependent: assign(stats_level, 1).
% 2.27/2.45 dependent: assign(max_seconds, 10800).
% 2.27/2.45 clear(print_given).
% 2.27/2.45
% 2.27/2.45 formula_list(usable).
% 2.27/2.45 all A (A=A).
% 2.27/2.45 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)).
% 2.27/2.45 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)).
% 2.27/2.45 p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 2.27/2.45 -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 2.27/2.45 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)).
% 2.27/2.45 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)).
% 2.27/2.45 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)).
% 2.27/2.45 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)))))).
% 2.27/2.45 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))).
% 2.27/2.45 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))).
% 2.27/2.45 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))).
% 2.27/2.45 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)))).
% 2.27/2.45 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)).
% 2.27/2.45 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)))))).
% 2.27/2.45 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)))))).
% 2.27/2.45 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))))).
% 2.27/2.45 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))))).
% 2.27/2.45 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))))).
% 2.27/2.45 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))))).
% 2.27/2.45 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))))).
% 2.27/2.45 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)))).
% 2.27/2.45 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)))).
% 2.27/2.45 all A_27a X0_2E0 (s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),X0_2E0)))=s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),c_2Epair_2ECURRY_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),X0_2E0)))).
% 2.27/2.45 all A_27a X0_2E0 (s(tyop_2Emin_2Ebool,c_2Erelation_2EWF_2E1(s(tyop_2Emin_2Efun(A_27a,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_2Efun(A_27a,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),c_2Erelation_2EWF_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),X0_2E0)))).
% 2.27/2.45 all A_27a X0_2E0 (s(tyop_2Emin_2Ebool,c_2Ewellorder_2Ewellfounded_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),X0_2E0)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ewellorder_2Ewellfounded_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),X0_2E0)))).
% 2.27/2.45 all A_27a A_27b X0_2E0 X1_2E0 (s(tyop_2Epair_2Eprod(A_27a,A_27b),c_2Epair_2E_2C_2E2(s(A_27a,X0_2E0),s(A_27b,X1_2E0)))=s(tyop_2Epair_2Eprod(A_27a,A_27b),app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Epair_2Eprod(A_27a,A_27b)),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Epair_2Eprod(A_27a,A_27b))),c_2Epair_2E_2C_2E0),s(A_27a,X0_2E0))),s(A_27b,X1_2E0)))).
% 2.27/2.45 all A_27a X0_2E0 X1_2E0 (s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Epair_2Eprod(A_27a,A_27a),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),X1_2E0)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2EIN_2E0),s(tyop_2Epair_2Eprod(A_27a,A_27a),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),X1_2E0)))).
% 2.27/2.45 all A_27a X0_2E0 (s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),c_2Eset__relation_2Estrict_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),X0_2E0)))=s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool)),c_2Eset__relation_2Estrict_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),X0_2E0)))).
% 2.27/2.45 all A_27a X0_2E0 (s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),c_2Ewellorder_2Ewellorder__REP_2E1(s(tyop_2Ewellorder_2Ewellorder(A_27a),X0_2E0)))=s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ewellorder_2Ewellorder(A_27a),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool)),c_2Ewellorder_2Ewellorder__REP_2E0),s(tyop_2Ewellorder_2Ewellorder(A_27a),X0_2E0)))).
% 2.27/2.45 all A_27a X0_2E0 X1_2E0 (s(tyop_2Epair_2Eprod(A_27a,A_27a),c_2Epair_2E_2C_2E2(s(A_27a,X0_2E0),s(A_27a,X1_2E0)))=s(tyop_2Epair_2Eprod(A_27a,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Epair_2Eprod(A_27a,A_27a)),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Epair_2Eprod(A_27a,A_27a))),c_2Epair_2E_2C_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))).
% 2.27/2.45 all A_27a A_27b A_27c X0_2E0 X1_2E0 X2_2E0 (s(A_27c,c_2Epair_2ECURRY_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),A_27c),X0_2E0),s(A_27a,X1_2E0),s(A_27b,X2_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)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),A_27c),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c))),c_2Epair_2ECURRY_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),A_27c),X0_2E0))),s(A_27a,X1_2E0))),s(A_27b,X2_2E0)))).
% 2.27/2.45 all A_27a A_27b V0M_2E0 V1x_2E0 (s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0M_2E0),s(A_27a,V1x_2E0)))=s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0M_2E0),s(A_27a,V1x_2E0)))).
% 2.27/2.45 all A_27a A_27b A_27c V0f_2E0 V1x_2E0 V2y_2E0 (s(A_27c,c_2Epair_2ECURRY_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),A_27c),V0f_2E0),s(A_27a,V1x_2E0),s(A_27b,V2y_2E0)))=s(A_27c,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),A_27c),V0f_2E0),s(tyop_2Epair_2Eprod(A_27a,A_27b),c_2Epair_2E_2C_2E2(s(A_27a,V1x_2E0),s(A_27b,V2y_2E0)))))).
% 2.27/2.45 all A_27a V0R_2E0 (s(tyop_2Emin_2Ebool,c_2Ewellorder_2Ewellfounded_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),V0R_2E0)))=s(tyop_2Emin_2Ebool,c_2Erelation_2EWF_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),V0R_2E0)))))).
% 2.27/2.45 all A_27a F0_2E0 ((all V0w_2E0 V1p_2E0 (s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ewellorder_2Ewellorder(A_27a),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool)),F0_2E0),s(tyop_2Ewellorder_2Ewellorder(A_27a),V0w_2E0))),s(tyop_2Epair_2Eprod(A_27a,A_27a),V1p_2E0)))=s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Epair_2Eprod(A_27a,A_27a),V1p_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),c_2Eset__relation_2Estrict_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),c_2Ewellorder_2Ewellorder__REP_2E1(s(tyop_2Ewellorder_2Ewellorder(A_27a),V0w_2E0)))))))))-> (all V0w_2E0 p(s(tyop_2Emin_2Ebool,c_2Ewellorder_2Ewellfounded_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ewellorder_2Ewellorder(A_27a),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool)),F0_2E0),s(tyop_2Ewellorder_2Ewellorder(A_27a),V0w_2E0)))))))).
% 2.27/2.45 -(all A_27a F0_2E0 ((all V0w_2E0 V1x_2E0 V2y_2E0 (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)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ewellorder_2Ewellorder(A_27a),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F0_2E0),s(tyop_2Ewellorder_2Ewellorder(A_27a),V0w_2E0))),s(A_27a,V1x_2E0))),s(A_27a,V2y_2E0)))=s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Epair_2Eprod(A_27a,A_27a),c_2Epair_2E_2C_2E2(s(A_27a,V1x_2E0),s(A_27a,V2y_2E0))),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),c_2Eset__relation_2Estrict_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),c_2Ewellorder_2Ewellorder__REP_2E1(s(tyop_2Ewellorder_2Ewellorder(A_27a),V0w_2E0)))))))))-> (all V0w_2E0 p(s(tyop_2Emin_2Ebool,c_2Erelation_2EWF_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ewellorder_2Ewellorder(A_27a),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F0_2E0),s(tyop_2Ewellorder_2Ewellorder(A_27a),V0w_2E0))))))))).
% 2.27/2.45 end_of_list.
% 2.27/2.45
% 2.27/2.45 -------> usable clausifies to:
% 2.27/2.45
% 2.27/2.45 list(usable).
% 2.27/2.45 0 [] A=A.
% 2.27/2.45 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).
% 2.27/2.45 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).
% 2.27/2.45 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).
% 2.27/2.45 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 2.27/2.45 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 2.27/2.45 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).
% 2.27/2.45 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).
% 2.27/2.45 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).
% 2.27/2.45 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))))).
% 2.27/2.45 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)).
% 2.27/2.45 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)).
% 2.27/2.45 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)).
% 2.27/2.45 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)).
% 2.27/2.45 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)).
% 2.27/2.45 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)).
% 2.27/2.45 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))| -p(s(tyop_2Emin_2Ebool,V0_2E0)).
% 2.27/2.45 0 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))|p(s(tyop_2Emin_2Ebool,V0_2E0)).
% 2.27/2.45 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)).
% 2.27/2.45 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)).
% 2.27/2.45 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)).
% 2.27/2.45 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).
% 2.27/2.45 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).
% 2.27/2.45 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)))).
% 2.27/2.45 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,$f2(A_27a,V0f_2E0))))).
% 2.27/2.45 0 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))|p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,$f3(A_27a,V0f_2E0))))).
% 2.27/2.45 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)))).
% 2.27/2.45 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)))).
% 2.27/2.45 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)))).
% 2.27/2.45 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)))).
% 2.27/2.45 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)))).
% 2.27/2.45 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)))).
% 2.27/2.45 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)))).
% 2.27/2.45 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)))).
% 2.27/2.45 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)))).
% 2.27/2.45 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)))).
% 2.27/2.45 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)))).
% 2.27/2.45 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)))).
% 2.27/2.45 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)))).
% 2.27/2.45 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)))).
% 2.27/2.45 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))).
% 2.27/2.45 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))).
% 2.27/2.45 0 [] s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),X0_2E0)))=s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),c_2Epair_2ECURRY_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),X0_2E0))).
% 2.27/2.45 0 [] s(tyop_2Emin_2Ebool,c_2Erelation_2EWF_2E1(s(tyop_2Emin_2Efun(A_27a,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_2Efun(A_27a,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),c_2Erelation_2EWF_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),X0_2E0))).
% 2.27/2.45 0 [] s(tyop_2Emin_2Ebool,c_2Ewellorder_2Ewellfounded_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),X0_2E0)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ewellorder_2Ewellfounded_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),X0_2E0))).
% 2.27/2.45 0 [] s(tyop_2Epair_2Eprod(A_27a,A_27b),c_2Epair_2E_2C_2E2(s(A_27a,X0_2E0),s(A_27b,X1_2E0)))=s(tyop_2Epair_2Eprod(A_27a,A_27b),app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Epair_2Eprod(A_27a,A_27b)),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Epair_2Eprod(A_27a,A_27b))),c_2Epair_2E_2C_2E0),s(A_27a,X0_2E0))),s(A_27b,X1_2E0))).
% 2.27/2.45 0 [] s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Epair_2Eprod(A_27a,A_27a),X0_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),X1_2E0)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2EIN_2E0),s(tyop_2Epair_2Eprod(A_27a,A_27a),X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),X1_2E0))).
% 2.27/2.45 0 [] s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),c_2Eset__relation_2Estrict_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),X0_2E0)))=s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool)),c_2Eset__relation_2Estrict_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),X0_2E0))).
% 2.27/2.45 0 [] s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),c_2Ewellorder_2Ewellorder__REP_2E1(s(tyop_2Ewellorder_2Ewellorder(A_27a),X0_2E0)))=s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ewellorder_2Ewellorder(A_27a),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool)),c_2Ewellorder_2Ewellorder__REP_2E0),s(tyop_2Ewellorder_2Ewellorder(A_27a),X0_2E0))).
% 2.27/2.45 0 [] s(tyop_2Epair_2Eprod(A_27a,A_27a),c_2Epair_2E_2C_2E2(s(A_27a,X0_2E0),s(A_27a,X1_2E0)))=s(tyop_2Epair_2Eprod(A_27a,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Epair_2Eprod(A_27a,A_27a)),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Epair_2Eprod(A_27a,A_27a))),c_2Epair_2E_2C_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0))).
% 2.27/2.45 0 [] s(A_27c,c_2Epair_2ECURRY_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),A_27c),X0_2E0),s(A_27a,X1_2E0),s(A_27b,X2_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)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),A_27c),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c))),c_2Epair_2ECURRY_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),A_27c),X0_2E0))),s(A_27a,X1_2E0))),s(A_27b,X2_2E0))).
% 2.27/2.45 0 [] s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0M_2E0),s(A_27a,V1x_2E0)))=s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0M_2E0),s(A_27a,V1x_2E0))).
% 2.27/2.45 0 [] s(A_27c,c_2Epair_2ECURRY_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),A_27c),V0f_2E0),s(A_27a,V1x_2E0),s(A_27b,V2y_2E0)))=s(A_27c,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27b),A_27c),V0f_2E0),s(tyop_2Epair_2Eprod(A_27a,A_27b),c_2Epair_2E_2C_2E2(s(A_27a,V1x_2E0),s(A_27b,V2y_2E0))))).
% 2.27/2.45 0 [] s(tyop_2Emin_2Ebool,c_2Ewellorder_2Ewellfounded_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),V0R_2E0)))=s(tyop_2Emin_2Ebool,c_2Erelation_2EWF_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),V0R_2E0))))).
% 2.27/2.45 0 [] s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ewellorder_2Ewellorder(A_27a),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool)),F0_2E0),s(tyop_2Ewellorder_2Ewellorder(A_27a),$f5(A_27a,F0_2E0)))),s(tyop_2Epair_2Eprod(A_27a,A_27a),$f4(A_27a,F0_2E0))))!=s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Epair_2Eprod(A_27a,A_27a),$f4(A_27a,F0_2E0)),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),c_2Eset__relation_2Estrict_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),c_2Ewellorder_2Ewellorder__REP_2E1(s(tyop_2Ewellorder_2Ewellorder(A_27a),$f5(A_27a,F0_2E0))))))))|p(s(tyop_2Emin_2Ebool,c_2Ewellorder_2Ewellfounded_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ewellorder_2Ewellorder(A_27a),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A_27a,A_27a),tyop_2Emin_2Ebool)),F0_2E0),s(tyop_2Ewellorder_2Ewellorder(A_27a),V0w_2E0)))))).
% 2.27/2.45 0 [] s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun($c3,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun($c3,tyop_2Emin_2Efun($c3,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ewellorder_2Ewellorder($c3),tyop_2Emin_2Efun($c3,tyop_2Emin_2Efun($c3,tyop_2Emin_2Ebool))),$c2),s(tyop_2Ewellorder_2Ewellorder($c3),V0w_2E0))),s($c3,V1x_2E0))),s($c3,V2y_2E0)))=s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Epair_2Eprod($c3,$c3),c_2Epair_2E_2C_2E2(s($c3,V1x_2E0),s($c3,V2y_2E0))),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod($c3,$c3),tyop_2Emin_2Ebool),c_2Eset__relation_2Estrict_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod($c3,$c3),tyop_2Emin_2Ebool),c_2Ewellorder_2Ewellorder__REP_2E1(s(tyop_2Ewellorder_2Ewellorder($c3),V0w_2E0))))))).
% 2.27/2.45 0 [] -p(s(tyop_2Emin_2Ebool,c_2Erelation_2EWF_2E1(s(tyop_2Emin_2Efun($c3,tyop_2Emin_2Efun($c3,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ewellorder_2Ewellorder($c3),tyop_2Emin_2Efun($c3,tyop_2Emin_2Efun($c3,tyop_2Emin_2Ebool))),$c2),s(tyop_2Ewellorder_2Ewellorder($c3),$c1)))))).
% 2.27/2.45 end_of_list.
% 2.27/2.45
% 2.27/2.45 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 2.27/2.45
% 2.27/2.45 This ia a non-Horn set with equality. The strategy will be
% 2.27/2.45 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.27/2.45 deletion, with positive clauses in sos and nonpositive
% 2.27/2.45 clauses in usable.
% 2.27/2.45
% 2.27/2.45 dependent: set(knuth_bendix).
% 2.27/2.45 dependent: set(anl_eq).
% 2.27/2.45 dependent: set(para_from).
% 2.27/2.45 dependent: set(para_into).
% 2.27/2.45 dependent: clear(para_from_right).
% 2.27/2.45 dependent: clear(para_into_right).
% 2.27/2.45 dependent: set(para_from_vars).
% 2.27/2.45 dependent: set(eq_units_both_ways).
% 2.27/2.45 dependent: set(dynamic_demod_all).
% 2.27/2.45 dependent: set(dynamic_demod).
% 2.27/2.45 dependent: set(order_eq).
% 2.27/2.45 dependent: set(back_demod).
% 2.27/2.45 dependent: set(lrpo).
% 2.27/2.45 dependent: set(hyper_res).
% 2.27/2.45 dependent: set(unit_deletion).
% 2.27/2.45 dependent: set(factor).
% 2.27/2.45
% 2.27/2.45 ------------> process usable:
% 2.27/2.45 ** KEPT (pick-wt=42): 1 [] s(A,app_2E2(s(tyop_2Emin_2Efun(B,A),C),s(B,$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).
% 2.27/2.45 ** 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).
% 2.27/2.45 ** KEPT (pick-wt=4): 3 [] -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)).
% 2.27/2.45 ** 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)).
% 2.27/2.45 ** 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)).
% 2.27/2.45 ** 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)).
% 2.27/2.45 ** 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)).
% 2.27/2.45 ** 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)).
% 2.27/2.45 ** 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)).
% 2.27/2.45 ** 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)).
% 2.27/2.45 ** 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)).
% 2.27/2.45 ** 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)).
% 2.27/2.45 ** 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).
% 2.27/2.45 ** 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).
% 2.27/2.45 ** 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)))).
% 2.27/2.45 ** 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))))).
% 2.27/2.45 ** 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))))).
% 2.27/2.45 ** 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)))).
% 2.27/2.45 ** 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)))).
% 2.27/2.45 ** 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)))).
% 2.27/2.46 ** 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)))).
% 2.27/2.46 ** 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)))).
% 2.27/2.46 ** 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)))).
% 2.27/2.46 ** 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)))).
% 2.27/2.46 ** 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)))).
% 2.27/2.46 ** 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)))).
% 2.27/2.46 ** 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)))).
% 2.27/2.46 ** 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)))).
% 2.27/2.46 ** 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)))).
% 2.27/2.46 ** KEPT (pick-wt=89): 31 [copy,30,flip.1] s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Epair_2Eprod(A,A),$f4(A,B)),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),c_2Eset__relation_2Estrict_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),c_2Ewellorder_2Ewellorder__REP_2E1(s(tyop_2Ewellorder_2Ewellorder(A),$f5(A,B))))))))!=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ewellorder_2Ewellorder(A),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool)),B),s(tyop_2Ewellorder_2Ewellorder(A),$f5(A,B)))),s(tyop_2Epair_2Eprod(A,A),$f4(A,B))))|p(s(tyop_2Emin_2Ebool,c_2Ewellorder_2Ewellfounded_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ewellorder_2Ewellorder(A),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool)),B),s(tyop_2Ewellorder_2Ewellorder(A),C)))))).
% 2.27/2.46 ** KEPT (pick-wt=25): 32 [] -p(s(tyop_2Emin_2Ebool,c_2Erelation_2EWF_2E1(s(tyop_2Emin_2Efun($c3,tyop_2Emin_2Efun($c3,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ewellorder_2Ewellorder($c3),tyop_2Emin_2Efun($c3,tyop_2Emin_2Efun($c3,tyop_2Emin_2Ebool))),$c2),s(tyop_2Ewellorder_2Ewellorder($c3),$c1)))))).
% 2.27/2.46
% 2.27/2.46 ------------> process sos:
% 2.27/2.46 ** KEPT (pick-wt=3): 38 [] A=A.
% 2.27/2.46 ** KEPT (pick-wt=15): 39 [] p(s(tyop_2Emin_2Ebool,A))|p(s(tyop_2Emin_2Ebool,B))|s(tyop_2Emin_2Ebool,A)=s(tyop_2Emin_2Ebool,B).
% 2.27/2.46 ** KEPT (pick-wt=4): 40 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)).
% 2.27/2.46 ** KEPT (pick-wt=14): 41 [] 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).
% 2.27/2.46 ** KEPT (pick-wt=15): 42 [] s(A,app_2E2(s(tyop_2Emin_2Efun(A,A),combin_i_2E0),s(A,B)))=s(A,B).
% 2.27/2.46 ---> New Demodulator: 43 [new_demod,42] s(A,app_2E2(s(tyop_2Emin_2Efun(A,A),combin_i_2E0),s(A,B)))=s(A,B).
% 2.27/2.46 ** KEPT (pick-wt=25): 44 [] 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).
% 2.27/2.46 ---> New Demodulator: 45 [new_demod,44] 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).
% 2.27/2.46 ** KEPT (pick-wt=77): 46 [] 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))))).
% 2.27/2.46 ** KEPT (pick-wt=11): 47 [] p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,A))))|p(s(tyop_2Emin_2Ebool,A)).
% 2.27/2.46 ** KEPT (pick-wt=14): 48 [] 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)).
% 2.27/2.46 ** KEPT (pick-wt=16): 49 [] 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)))).
% 2.27/2.46 ** KEPT (pick-wt=26): 50 [] 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)))).
% 2.27/2.46 ** KEPT (pick-wt=24): 51 [] 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))).
% 2.27/2.46 ---> New Demodulator: 52 [new_demod,51] 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))).
% 2.27/2.46 ** KEPT (pick-wt=24): 53 [] 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))).
% 2.27/2.46 ---> New Demodulator: 54 [new_demod,53] 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))).
% 2.27/2.46 ** KEPT (pick-wt=42): 55 [] s(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),B)))=s(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool))),c_2Epair_2ECURRY_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),B))).
% 2.27/2.46 ---> New Demodulator: 56 [new_demod,55] s(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool)),c_2Epair_2ECURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),B)))=s(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool))),c_2Epair_2ECURRY_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),B))).
% 2.27/2.46 ** KEPT (pick-wt=30): 57 [] s(tyop_2Emin_2Ebool,c_2Erelation_2EWF_2E1(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool)),B)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),c_2Erelation_2EWF_2E0),s(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool)),B))).
% 2.27/2.46 ---> New Demodulator: 58 [new_demod,57] s(tyop_2Emin_2Ebool,c_2Erelation_2EWF_2E1(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool)),B)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),c_2Erelation_2EWF_2E0),s(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool)),B))).
% 2.27/2.46 ** KEPT (pick-wt=30): 59 [] s(tyop_2Emin_2Ebool,c_2Ewellorder_2Ewellfounded_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),B)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ewellorder_2Ewellfounded_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),B))).
% 2.27/2.46 ---> New Demodulator: 60 [new_demod,59] s(tyop_2Emin_2Ebool,c_2Ewellorder_2Ewellfounded_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),B)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ewellorder_2Ewellfounded_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),B))).
% 2.27/2.46 ** KEPT (pick-wt=39): 61 [] s(tyop_2Epair_2Eprod(A,B),c_2Epair_2E_2C_2E2(s(A,C),s(B,D)))=s(tyop_2Epair_2Eprod(A,B),app_2E2(s(tyop_2Emin_2Efun(B,tyop_2Epair_2Eprod(A,B)),app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(B,tyop_2Epair_2Eprod(A,B))),c_2Epair_2E_2C_2E0),s(A,C))),s(B,D))).
% 2.27/2.46 ** KEPT (pick-wt=53): 62 [] s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Epair_2Eprod(A,A),B),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),C)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2EIN_2E0),s(tyop_2Epair_2Eprod(A,A),B))),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),C))).
% 2.27/2.46 ** KEPT (pick-wt=42): 63 [] s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),c_2Eset__relation_2Estrict_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),B)))=s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool)),c_2Eset__relation_2Estrict_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),B))).
% 2.27/2.46 ---> New Demodulator: 64 [new_demod,63] s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),c_2Eset__relation_2Estrict_2E1(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),B)))=s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool)),c_2Eset__relation_2Estrict_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),B))).
% 2.27/2.46 ** KEPT (pick-wt=33): 65 [] s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),c_2Ewellorder_2Ewellorder__REP_2E1(s(tyop_2Ewellorder_2Ewellorder(A),B)))=s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ewellorder_2Ewellorder(A),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool)),c_2Ewellorder_2Ewellorder__REP_2E0),s(tyop_2Ewellorder_2Ewellorder(A),B))).
% 2.27/2.46 ---> New Demodulator: 66 [new_demod,65] s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),c_2Ewellorder_2Ewellorder__REP_2E1(s(tyop_2Ewellorder_2Ewellorder(A),B)))=s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ewellorder_2Ewellorder(A),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool)),c_2Ewellorder_2Ewellorder__REP_2E0),s(tyop_2Ewellorder_2Ewellorder(A),B))).
% 2.27/2.46 Following clause subsumed by 61 during input processing: 0 [] s(tyop_2Epair_2Eprod(A,A),c_2Epair_2E_2C_2E2(s(A,B),s(A,C)))=s(tyop_2Epair_2Eprod(A,A),app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Epair_2Eprod(A,A)),app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Epair_2Eprod(A,A))),c_2Epair_2E_2C_2E0),s(A,B))),s(A,C))).
% 2.27/2.46 ** KEPT (pick-wt=58): 68 [copy,67,flip.1] s(A,app_2E2(s(tyop_2Emin_2Efun(B,A),app_2E2(s(tyop_2Emin_2Efun(C,tyop_2Emin_2Efun(B,A)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(C,B),A),tyop_2Emin_2Efun(C,tyop_2Emin_2Efun(B,A))),c_2Epair_2ECURRY_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(C,B),A),D))),s(C,E))),s(B,F)))=s(A,c_2Epair_2ECURRY_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(C,B),A),D),s(C,E),s(B,F))).
% 2.27/2.46 ---> New Demodulator: 69 [new_demod,68] s(A,app_2E2(s(tyop_2Emin_2Efun(B,A),app_2E2(s(tyop_2Emin_2Efun(C,tyop_2Emin_2Efun(B,A)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(C,B),A),tyop_2Emin_2Efun(C,tyop_2Emin_2Efun(B,A))),c_2Epair_2ECURRY_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(C,B),A),D))),s(C,E))),s(B,F)))=s(A,c_2Epair_2ECURRY_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(C,B),A),D),s(C,E),s(B,F))).
% 2.27/2.46 Following clause subsumed by 38 during input processing: 0 [] s(A,app_2E2(s(tyop_2Emin_2Efun(B,A),C),s(B,D)))=s(A,app_2E2(s(tyop_2Emin_2Efun(B,A),C),s(B,D))).
% 2.27/2.46 ** KEPT (pick-wt=38): 71 [copy,70,flip.1] s(A,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(B,C),A),D),s(tyop_2Epair_2Eprod(B,C),c_2Epair_2E_2C_2E2(s(B,E),s(C,F)))))=s(A,c_2Epair_2ECURRY_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(B,C),A),D),s(B,E),s(C,F))).
% 2.27/2.46 ---> New Demodulator: 72 [new_demod,71] s(A,app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(B,C),A),D),s(tyop_2Epair_2Eprod(B,C),c_2Epair_2E_2C_2E2(s(B,E),s(C,F)))))=s(A,c_2Epair_2ECURRY_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(B,C),A),D),s(B,E),s(C,F))).
% 2.27/2.46 ** KEPT (pick-wt=59): 74 [copy,73,demod,60,56,58,flip.1] s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),c_2Erelation_2EWF_2E0),s(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool))),c_2Epair_2ECURRY_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),B)))))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ewellorder_2Ewellfounded_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),B))).
% 2.27/2.46 ---> New Demodulator: 75 [new_demod,74] s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool)),tyop_2Emin_2Ebool),c_2Erelation_2EWF_2E0),s(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(A,tyop_2Emin_2Ebool))),c_2Epair_2ECURRY_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),B)))))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ewellorder_2Ewellfounded_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),B))).
% 2.27/2.46 ** KEPT (pick-wt=91): 77 [copy,76,demod,66,64] s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun($c3,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun($c3,tyop_2Emin_2Efun($c3,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ewellorder_2Ewellorder($c3),tyop_2Emin_2Efun($c3,tyop_2Emin_2Efun($c3,tyop_2Emin_2Ebool))),$c2),s(tyop_2Ewellorder_2Ewellorder($c3),A))),s($c3,B))),s($c3,C)))=s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Epair_2Eprod($c3,$c3),c_2Epair_2E_2C_2E2(s($c3,B),s($c3,C))),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod($c3,$c3),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod($c3,$c3),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Epair_2Eprod($c3,$c3),tyop_2Emin_2Ebool)),c_2Eset__relation_2Estrict_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod($c3,$c3),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ewellorder_2Ewellorder($c3),tyop_2Emin_2Efun(tyop_2Epair_2Eprod($c3,$c3),tyop_2Emin_2Ebool)),c_2Ewellorder_2Ewellorder__REP_2E0),s(tyop_2Ewellorder_2Ewellorder($c3),A))))))).
% 2.27/2.46 Following clause subsumed by 38 during input processing: 0 [copy,38,flip.1] A=A.
% 2.27/2.46 38 back subsumes 33.
% 2.27/2.46 >>>> Starting back demodulation with 43.
% 2.27/2.46 >>>> Starting back demodulation with 45.
% 2.27/2.46 ** KEPT (pick-wt=77): 78 [copy,46,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))).
% 2.27/2.46 >>>> Starting back demodulation with 52.
% 2.27/2.46 >> back demodulating 16 with 52.
% 2.27/2.46 >> back demodulating 15 with 52.
% 2.27/2.46 >>>> Starting back demodulation with 54.
% 2.27/2.46 >> back demodulating 18 with 54.
% 2.27/2.46 >> back demodulating 17 with 54.
% 2.27/2.46 >>>> Starting back demodulation with 56.
% 2.27/2.46 >>>> Starting back demodulation with 58.
% 2.27/2.46 >> back demodulating 32 with 58.
% 2.27/2.46 >>>> Starting back demodulation with 60.
% 2.27/2.46 >> back demodulating 31 with 60.
% 2.27/2.46 ** KEPT (pick-wt=39): 85 [copy,61,flip.1] s(tyop_2Epair_2Eprod(A,B),app_2E2(s(tyop_2Emin_2Efun(B,tyop_2Epair_2Eprod(A,B)),app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(B,tyop_2Epair_2Eprod(A,B))),c_2Epair_2E_2C_2E0),s(A,C))),s(B,D)))=s(tyop_2Epair_2Eprod(A,B),c_2Epair_2E_2C_2E2(s(A,C),s(B,D))).
% 2.27/2.46 ** KEPT (pick-wt=53): 86 [copy,62,flip.1] s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2EIN_2E0),s(tyop_2Epair_2Eprod(A,A),B))),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),C)))=s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Epair_2Eprod(A,A),B),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),C))).
% 2.27/2.46 >>>> Starting back demodulation with 64.
% 2.27/2.46 >>>> Starting back demodulation with 66.
% 2.27/2.46 >>>> Starting back demodulation with 69.
% 2.27/2.46 >>>> Starting back demodulation with 72.
% 2.27/2.46 >>>> Starting back demodulation with 75.
% 2.27/2.46 ** KEPT (pick-wt=91): 87 [copy,77,flip.1] s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Epair_2Eprod($c3,$c3),c_2Epair_2E_2C_2E2(s($c3,A),s($c3,B))),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod($c3,$c3),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod($c3,$c3),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Epair_2Eprod($c3,$c3),tyop_2Emin_2Ebool)),c_2Eset__relation_2Estrict_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod($c3,$c3),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ewellorder_2Ewellorder($c3),tyop_2Emin_2Efun(tyop_2Epair_2Eprod($c3,$c3),tyop_2Emin_2Ebool)),c_2Ewellorder_2Ewellorder__REP_2E0),s(tyop_2Ewellorder_2Ewellorder($c3),C)))))))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun($c3,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun($c3,tyop_2Emin_2Efun($c3,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ewellorder_2Ewellorder($c3),tyop_2Emin_2Efun($c3,tyop_2Emin_2Efun($c3,tyop_2Emin_2Ebool))),$c2),s(tyop_2Ewellorder_2Ewellorder($c3),C))),s($c3,A))),s($c3,B))).
% 2.27/2.46 Following clause subsumed by 46 during input processing: 0 [copy,78,flip.1] s(A,app_2E2(s(tyop_2Emin_2Efun(B,A),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(B,C),tyop_2Emin_2Efun(B,A)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(B,tyop_2Emin_2Efun(C,A)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(B,C),tyop_2Emin_2Efun(B,A))),combin_s_2E0),s(tyop_2Emin_2Efun(B,tyop_2Emin_2Efun(C,A)),D))),s(tyop_2Emin_2Efun(B,C),E))),s(B,F)))=s(A,app_2E2(s(tyop_2Emin_2Efun(C,A),app_2E2(s(tyop_2Emin_2Efun(B,tyop_2Emin_2Efun(C,A)),D),s(B,F))),s(C,app_2E2(s(tyop_2Emin_2Efun(B,C),E),s(B,F))))).
% 2.38/2.55 Following clause subsumed by 61 during input processing: 0 [copy,85,flip.1] s(tyop_2Epair_2Eprod(A,B),c_2Epair_2E_2C_2E2(s(A,C),s(B,D)))=s(tyop_2Epair_2Eprod(A,B),app_2E2(s(tyop_2Emin_2Efun(B,tyop_2Epair_2Eprod(A,B)),app_2E2(s(tyop_2Emin_2Efun(A,tyop_2Emin_2Efun(B,tyop_2Epair_2Eprod(A,B))),c_2Epair_2E_2C_2E0),s(A,C))),s(B,D))).
% 2.38/2.55 Following clause subsumed by 62 during input processing: 0 [copy,86,flip.1] s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Epair_2Eprod(A,A),B),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),C)))=s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2EIN_2E0),s(tyop_2Epair_2Eprod(A,A),B))),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(A,A),tyop_2Emin_2Ebool),C))).
% 2.38/2.55 Following clause subsumed by 77 during input processing: 0 [copy,87,flip.1] s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun($c3,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun($c3,tyop_2Emin_2Efun($c3,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ewellorder_2Ewellorder($c3),tyop_2Emin_2Efun($c3,tyop_2Emin_2Efun($c3,tyop_2Emin_2Ebool))),$c2),s(tyop_2Ewellorder_2Ewellorder($c3),A))),s($c3,B))),s($c3,C)))=s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Epair_2Eprod($c3,$c3),c_2Epair_2E_2C_2E2(s($c3,B),s($c3,C))),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod($c3,$c3),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod($c3,$c3),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Epair_2Eprod($c3,$c3),tyop_2Emin_2Ebool)),c_2Eset__relation_2Estrict_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod($c3,$c3),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ewellorder_2Ewellorder($c3),tyop_2Emin_2Efun(tyop_2Epair_2Eprod($c3,$c3),tyop_2Emin_2Ebool)),c_2Ewellorder_2Ewellorder__REP_2E0),s(tyop_2Ewellorder_2Ewellorder($c3),A))))))).
% 2.38/2.55
% 2.38/2.55 ======= end of input processing =======
% 2.38/2.55
% 2.38/2.55 =========== start of search ===========
% 2.38/2.55
% 2.38/2.55
% 2.38/2.55 Resetting weight limit to 11.
% 2.38/2.55
% 2.38/2.55
% 2.38/2.55 Resetting weight limit to 11.
% 2.38/2.55
% 2.38/2.55 sos_size=33
% 2.38/2.55
% 2.38/2.55 Search stopped because sos empty.
% 2.38/2.55
% 2.38/2.55
% 2.38/2.55 Search stopped because sos empty.
% 2.38/2.55
% 2.38/2.55 ============ end of search ============
% 2.38/2.55
% 2.38/2.55 -------------- statistics -------------
% 2.38/2.55 clauses given 52
% 2.38/2.55 clauses generated 7338
% 2.38/2.55 clauses kept 88
% 2.38/2.55 clauses forward subsumed 412
% 2.38/2.55 clauses back subsumed 1
% 2.38/2.55 Kbytes malloced 7812
% 2.38/2.55
% 2.38/2.55 ----------- times (seconds) -----------
% 2.38/2.55 user CPU time 0.10 (0 hr, 0 min, 0 sec)
% 2.38/2.55 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.38/2.55 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.38/2.55
% 2.38/2.55 Process 27275 finished Wed Jul 27 03:01:12 2022
% 2.38/2.55 Otter interrupted
% 2.38/2.55 PROOF NOT FOUND
%------------------------------------------------------------------------------