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Otter---3.3.UNK-Non.f

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%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWW848+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n029.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 13:23:05 EDT 2022

% Result   : Unknown 2.05s 2.23s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW848+1 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12  % Command  : otter-tptp-script %s
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Jul 27 03:12:14 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 1.93/2.14  ----- Otter 3.3f, August 2004 -----
% 1.93/2.14  The process was started by sandbox on n029.cluster.edu,
% 1.93/2.14  Wed Jul 27 03:12:14 2022
% 1.93/2.14  The command was "./otter".  The process ID is 7944.
% 1.93/2.14  
% 1.93/2.14  set(prolog_style_variables).
% 1.93/2.14  set(auto).
% 1.93/2.14     dependent: set(auto1).
% 1.93/2.14     dependent: set(process_input).
% 1.93/2.14     dependent: clear(print_kept).
% 1.93/2.14     dependent: clear(print_new_demod).
% 1.93/2.14     dependent: clear(print_back_demod).
% 1.93/2.14     dependent: clear(print_back_sub).
% 1.93/2.14     dependent: set(control_memory).
% 1.93/2.14     dependent: assign(max_mem, 12000).
% 1.93/2.14     dependent: assign(pick_given_ratio, 4).
% 1.93/2.14     dependent: assign(stats_level, 1).
% 1.93/2.14     dependent: assign(max_seconds, 10800).
% 1.93/2.14  clear(print_given).
% 1.93/2.14  
% 1.93/2.14  formula_list(usable).
% 1.93/2.14  all A (A=A).
% 1.93/2.14  p__01(s__02(cbool__00,cT__00)).
% 1.93/2.14  -p__01(s__02(cbool__00,cF__00)).
% 1.93/2.14  all Vt (s__02(cbool__00,Vt)=s__02(cbool__00,cT__00)|s__02(cbool__00,Vt)=s__02(cbool__00,cF__00)).
% 1.93/2.14  all V_3f2384 V_3f2380 Vf Vg ((all Vx (s__02(V_3f2380,chapp__02(s__02(cfun__02(V_3f2384,V_3f2380),Vf),s__02(V_3f2384,Vx)))=s__02(V_3f2380,chapp__02(s__02(cfun__02(V_3f2384,V_3f2380),Vg),s__02(V_3f2384,Vx)))))->s__02(cfun__02(V_3f2384,V_3f2380),Vf)=s__02(cfun__02(V_3f2384,V_3f2380),Vg)).
% 1.93/2.14  all V_27B_27 V_27A_27 V_27t_27 Vx (s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27t_27),s__02(V_27A_27,Vx)))=s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27t_27),s__02(V_27A_27,Vx)))).
% 1.93/2.14  p__01(s__02(cbool__00,cT__00)).
% 1.93/2.14  all V_27t1_27 V_27t2_27 ((p__01(s__02(cbool__00,V_27t1_27))->p__01(s__02(cbool__00,V_27t2_27)))-> ((p__01(s__02(cbool__00,V_27t2_27))->p__01(s__02(cbool__00,V_27t1_27)))->s__02(cbool__00,V_27t1_27)=s__02(cbool__00,V_27t2_27))).
% 1.93/2.14  all V_27t_27 (p__01(s__02(cbool__00,cF__00))->p__01(s__02(cbool__00,V_27t_27))).
% 1.93/2.14  all V_27t_27 (p__01(s__02(cbool__00,V_27t_27))| -p__01(s__02(cbool__00,V_27t_27))).
% 1.93/2.14  all V_27A_27 V_27t_27 ((all V_27x_27 p__01(s__02(cbool__00,V_27t_27)))<->p__01(s__02(cbool__00,V_27t_27))).
% 1.93/2.14  all V_27A_27 V_27x_27 (s__02(V_27A_27,V_27x_27)=s__02(V_27A_27,V_27x_27)<->p__01(s__02(cbool__00,cT__00))).
% 1.93/2.14  all V_27A_27 V_27x_27 V_27y_27 (s__02(V_27A_27,V_27x_27)=s__02(V_27A_27,V_27y_27)<->s__02(V_27A_27,V_27y_27)=s__02(V_27A_27,V_27x_27)).
% 1.93/2.14  all V_27t_27 ((s__02(cbool__00,cT__00)=s__02(cbool__00,V_27t_27)<->p__01(s__02(cbool__00,V_27t_27)))& (s__02(cbool__00,V_27t_27)=s__02(cbool__00,cT__00)<->p__01(s__02(cbool__00,V_27t_27)))& (s__02(cbool__00,cF__00)=s__02(cbool__00,V_27t_27)<-> -p__01(s__02(cbool__00,V_27t_27)))& (s__02(cbool__00,V_27t_27)=s__02(cbool__00,cF__00)<-> -p__01(s__02(cbool__00,V_27t_27)))).
% 1.93/2.14  all V_27A_27 V_27t1_27 V_27t2_27 (s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,cT__00),s__02(V_27A_27,V_27t1_27),s__02(V_27A_27,V_27t2_27)))=s__02(V_27A_27,V_27t1_27)&s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,cF__00),s__02(V_27A_27,V_27t1_27),s__02(V_27A_27,V_27t2_27)))=s__02(V_27A_27,V_27t2_27)).
% 1.93/2.14  all V_27t1_27 V_27t2_27 V_27t3_27 ((p__01(s__02(cbool__00,V_27t1_27))-> (p__01(s__02(cbool__00,V_27t2_27))->p__01(s__02(cbool__00,V_27t3_27))))<-> (p__01(s__02(cbool__00,V_27t1_27))&p__01(s__02(cbool__00,V_27t2_27))->p__01(s__02(cbool__00,V_27t3_27)))).
% 1.93/2.14  all V_27A_27 V_27P_27 V_27Q_27 V_27x_27 V_27x_7c39_7c_27 V_27y_27 V_27y_7c39_7c_27 (s__02(cbool__00,V_27P_27)=s__02(cbool__00,V_27Q_27)& (p__01(s__02(cbool__00,V_27Q_27))->s__02(V_27A_27,V_27x_27)=s__02(V_27A_27,V_27x_7c39_7c_27))& (-p__01(s__02(cbool__00,V_27Q_27))->s__02(V_27A_27,V_27y_27)=s__02(V_27A_27,V_27y_7c39_7c_27))->s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,V_27P_27),s__02(V_27A_27,V_27x_27),s__02(V_27A_27,V_27y_27)))=s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,V_27Q_27),s__02(V_27A_27,V_27x_7c39_7c_27),s__02(V_27A_27,V_27y_7c39_7c_27)))).
% 1.93/2.14  all V_27A_27 V_27P_27 V_27a_27 ((exists V_27x_27 (s__02(V_27A_27,V_27x_27)=s__02(V_27A_27,V_27a_27)&p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(V_27A_27,cbool__00),V_27P_27),s__02(V_27A_27,V_27x_27))))))<->p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(V_27A_27,cbool__00),V_27P_27),s__02(V_27A_27,V_27a_27))))).
% 1.93/2.14  all V_27A_27 ((all V_27t1_27 V_27t2_27 (s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,cT__00),s__02(V_27A_27,V_27t1_27),s__02(V_27A_27,V_27t2_27)))=s__02(V_27A_27,V_27t1_27)))& (all V_27t1_27 V_27t2_27 (s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,cF__00),s__02(V_27A_27,V_27t1_27),s__02(V_27A_27,V_27t2_27)))=s__02(V_27A_27,V_27t2_27)))).
% 1.93/2.14  all V_27A_27 V_27B_27 V_27x_27 exists V_27q_27 V_27r_27 (s__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),V_27x_27)=s__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),c_27const_2epair_2e_2c_27__02(s__02(V_27A_27,V_27q_27),s__02(V_27B_27,V_27r_27)))).
% 1.93/2.14  all V_27C_27 V_27A_27 V_27B_27 V_27f_27 V_27x_27 V_27y_27 (s__02(V_27C_27,chapp__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),V_27C_27),c_27const_2epair_2eUNCURRY_27__01(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),V_27f_27))),s__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),c_27const_2epair_2e_2c_27__02(s__02(V_27A_27,V_27x_27),s__02(V_27B_27,V_27y_27)))))=s__02(V_27C_27,chapp__02(s__02(cfun__02(V_27B_27,V_27C_27),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),V_27f_27),s__02(V_27A_27,V_27x_27))),s__02(V_27B_27,V_27y_27)))).
% 1.93/2.14  all V_27A_27 V_27x_27 V_27y_27 (s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27A_27,V_27x_27)))=s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27A_27,V_27y_27)))<->s__02(V_27A_27,V_27x_27)=s__02(V_27A_27,V_27y_27)).
% 1.93/2.14  all V_27A_27 V_27B_27 ((all V_27f_27 V_27x_27 (s__02(c_27type_2eoption_2eoption_27__01(V_27B_27),c_27const_2eoption_2eOPTION__MAP_27__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27A_27,V_27x_27)))))=s__02(c_27type_2eoption_2eoption_27__01(V_27B_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(V_27A_27,V_27x_27)))))))& (all V_27f_27 (s__02(c_27type_2eoption_2eoption_27__01(V_27B_27),c_27const_2eoption_2eOPTION__MAP_27__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eNONE_27__00)))=s__02(c_27type_2eoption_2eoption_27__01(V_27B_27),c_27const_2eoption_2eNONE_27__00)))).
% 1.93/2.14  all V_27B_27 V_27A_27 V_27f_27 V_27x_27 V_27y_27 (s__02(c_27type_2eoption_2eoption_27__01(V_27B_27),c_27const_2eoption_2eOPTION__MAP_27__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),V_27x_27)))=s__02(c_27type_2eoption_2eoption_27__01(V_27B_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27B_27,V_27y_27)))<-> (exists V_27z_27 (s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),V_27x_27)=s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27A_27,V_27z_27)))&s__02(V_27B_27,V_27y_27)=s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(V_27A_27,V_27z_27)))))).
% 1.93/2.14  all V_27B_27 V_27A_27 ((all V_27f_27 (s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eNIL_27__00)))=s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eNIL_27__00)))& (all V_27f_27 V_27h_27 V_27t_27 (s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eCONS_27__02(s__02(V_27A_27,V_27h_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27t_27)))))=s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eCONS_27__02(s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(V_27A_27,V_27h_27))),s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27t_27)))))))).
% 1.93/2.14  all V_27A_27 V_27P_27 (p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(V_27A_27),cbool__00),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eNIL_27__00))))& (all V_27t_27 (p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(V_27A_27),cbool__00),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27t_27))))-> (all V_27h_27 p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(V_27A_27),cbool__00),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eCONS_27__02(s__02(V_27A_27,V_27h_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27t_27)))))))))-> (all V_27l_27 p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(V_27A_27),cbool__00),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l_27)))))).
% 1.93/2.14  all V_27A_27 V_27B_27 ((all V_27q_27 (s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2ealist_2eALOOKUP_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(V_27B_27,V_27A_27)),c_27const_2elist_2eNIL_27__00),s__02(V_27B_27,V_27q_27)))=s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eNONE_27__00)))& (all V_27y_27 V_27x_27 V_27t_27 V_27q_27 exists Vv ((p__01(s__02(cbool__00,Vv))<->s__02(V_27B_27,V_27x_27)=s__02(V_27B_27,V_27q_27))&s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2ealist_2eALOOKUP_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(V_27B_27,V_27A_27)),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2epair_2eprod_27__02(V_27B_27,V_27A_27),c_27const_2epair_2e_2c_27__02(s__02(V_27B_27,V_27x_27),s__02(V_27A_27,V_27y_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(V_27B_27,V_27A_27)),V_27t_27))),s__02(V_27B_27,V_27q_27)))=s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,Vv),s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27A_27,V_27y_27))),s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2ealist_2eALOOKUP_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(V_27B_27,V_27A_27)),V_27t_27),s__02(V_27B_27,V_27q_27)))))))).
% 1.93/2.14  -(all V_27C_27 V_27B_27 V_27A_27 V__1 ((all V_27f_27 V_27x0_27 V_27y_27 (s__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27C_27),chapp__02(s__02(cfun__02(V_27B_27,c_27type_2epair_2eprod_27__02(V_27A_27,V_27C_27)),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,c_27type_2epair_2eprod_27__02(V_27A_27,V_27C_27))),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),cfun__02(V_27A_27,cfun__02(V_27B_27,c_27type_2epair_2eprod_27__02(V_27A_27,V_27C_27)))),V__1),s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),V_27f_27))),s__02(V_27A_27,V_27x0_27))),s__02(V_27B_27,V_27y_27)))=s__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27C_27),c_27const_2epair_2e_2c_27__02(s__02(V_27A_27,V_27x0_27),s__02(V_27C_27,chapp__02(s__02(cfun__02(V_27B_27,V_27C_27),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),V_27f_27),s__02(V_27A_27,V_27x0_27))),s__02(V_27B_27,V_27y_27)))))))-> (all V__0 ((all V_27f_27 V_27x0_27 (s__02(cfun__02(V_27B_27,c_27type_2epair_2eprod_27__02(V_27A_27,V_27C_27)),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,c_27type_2epair_2eprod_27__02(V_27A_27,V_27C_27))),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),cfun__02(V_27A_27,cfun__02(V_27B_27,c_27type_2epair_2eprod_27__02(V_27A_27,V_27C_27)))),V__0),s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),V_27f_27))),s__02(V_27A_27,V_27x0_27)))=s__02(cfun__02(V_27B_27,c_27type_2epair_2eprod_27__02(V_27A_27,V_27C_27)),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,c_27type_2epair_2eprod_27__02(V_27A_27,V_27C_27))),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),cfun__02(V_27A_27,cfun__02(V_27B_27,c_27type_2epair_2eprod_27__02(V_27A_27,V_27C_27)))),V__1),s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),V_27f_27))),s__02(V_27A_27,V_27x0_27)))))-> (all V_27f_27 V_27al_27 V_27x_27 (s__02(c_27type_2eoption_2eoption_27__01(V_27C_27),c_27const_2ealist_2eALOOKUP_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(V_27A_27,V_27C_27)),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),c_27type_2epair_2eprod_27__02(V_27A_27,V_27C_27)),c_27const_2epair_2eUNCURRY_27__01(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,c_27type_2epair_2eprod_27__02(V_27A_27,V_27C_27))),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),cfun__02(V_27A_27,cfun__02(V_27B_27,c_27type_2epair_2eprod_27__02(V_27A_27,V_27C_27)))),V__0),s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),V_27f_27))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27)),V_27al_27))),s__02(V_27A_27,V_27x_27)))=s__02(c_27type_2eoption_2eoption_27__01(V_27C_27),c_27const_2eoption_2eOPTION__MAP_27__02(s__02(cfun__02(V_27B_27,V_27C_27),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),V_27f_27),s__02(V_27A_27,V_27x_27))),s__02(c_27type_2eoption_2eoption_27__01(V_27B_27),c_27const_2ealist_2eALOOKUP_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27)),V_27al_27),s__02(V_27A_27,V_27x_27))))))))))).
% 1.93/2.14  end_of_list.
% 1.93/2.14  
% 1.93/2.14  -------> usable clausifies to:
% 1.93/2.14  
% 1.93/2.14  list(usable).
% 1.93/2.14  0 [] A=A.
% 1.93/2.14  0 [] p__01(s__02(cbool__00,cT__00)).
% 1.93/2.14  0 [] -p__01(s__02(cbool__00,cF__00)).
% 1.93/2.14  0 [] s__02(cbool__00,Vt)=s__02(cbool__00,cT__00)|s__02(cbool__00,Vt)=s__02(cbool__00,cF__00).
% 1.93/2.14  0 [] s__02(V_3f2380,chapp__02(s__02(cfun__02(V_3f2384,V_3f2380),Vf),s__02(V_3f2384,$f1(V_3f2384,V_3f2380,Vf,Vg))))!=s__02(V_3f2380,chapp__02(s__02(cfun__02(V_3f2384,V_3f2380),Vg),s__02(V_3f2384,$f1(V_3f2384,V_3f2380,Vf,Vg))))|s__02(cfun__02(V_3f2384,V_3f2380),Vf)=s__02(cfun__02(V_3f2384,V_3f2380),Vg).
% 1.93/2.14  0 [] s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27t_27),s__02(V_27A_27,Vx)))=s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27t_27),s__02(V_27A_27,Vx))).
% 1.93/2.14  0 [] p__01(s__02(cbool__00,cT__00)).
% 1.93/2.14  0 [] p__01(s__02(cbool__00,V_27t1_27))|p__01(s__02(cbool__00,V_27t2_27))|s__02(cbool__00,V_27t1_27)=s__02(cbool__00,V_27t2_27).
% 1.93/2.14  0 [] -p__01(s__02(cbool__00,V_27t2_27))| -p__01(s__02(cbool__00,V_27t1_27))|s__02(cbool__00,V_27t1_27)=s__02(cbool__00,V_27t2_27).
% 1.93/2.14  0 [] -p__01(s__02(cbool__00,cF__00))|p__01(s__02(cbool__00,V_27t_27)).
% 1.93/2.14  0 [] s__02(V_27A_27,V_27x_27)!=s__02(V_27A_27,V_27x_27)|p__01(s__02(cbool__00,cT__00)).
% 1.93/2.14  0 [] s__02(V_27A_27,V_27x_27)=s__02(V_27A_27,V_27x_27)| -p__01(s__02(cbool__00,cT__00)).
% 1.93/2.14  0 [] s__02(V_27A_27,V_27x_27)!=s__02(V_27A_27,V_27y_27)|s__02(V_27A_27,V_27y_27)=s__02(V_27A_27,V_27x_27).
% 1.93/2.14  0 [] s__02(V_27A_27,V_27x_27)=s__02(V_27A_27,V_27y_27)|s__02(V_27A_27,V_27y_27)!=s__02(V_27A_27,V_27x_27).
% 1.93/2.14  0 [] s__02(cbool__00,cT__00)!=s__02(cbool__00,V_27t_27)|p__01(s__02(cbool__00,V_27t_27)).
% 1.93/2.14  0 [] s__02(cbool__00,cT__00)=s__02(cbool__00,V_27t_27)| -p__01(s__02(cbool__00,V_27t_27)).
% 1.93/2.14  0 [] s__02(cbool__00,V_27t_27)!=s__02(cbool__00,cT__00)|p__01(s__02(cbool__00,V_27t_27)).
% 1.93/2.14  0 [] s__02(cbool__00,V_27t_27)=s__02(cbool__00,cT__00)| -p__01(s__02(cbool__00,V_27t_27)).
% 1.93/2.14  0 [] s__02(cbool__00,cF__00)!=s__02(cbool__00,V_27t_27)| -p__01(s__02(cbool__00,V_27t_27)).
% 1.93/2.14  0 [] s__02(cbool__00,cF__00)=s__02(cbool__00,V_27t_27)|p__01(s__02(cbool__00,V_27t_27)).
% 1.93/2.14  0 [] s__02(cbool__00,V_27t_27)!=s__02(cbool__00,cF__00)| -p__01(s__02(cbool__00,V_27t_27)).
% 1.93/2.14  0 [] s__02(cbool__00,V_27t_27)=s__02(cbool__00,cF__00)|p__01(s__02(cbool__00,V_27t_27)).
% 1.93/2.14  0 [] s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,cT__00),s__02(V_27A_27,V_27t1_27),s__02(V_27A_27,V_27t2_27)))=s__02(V_27A_27,V_27t1_27).
% 1.93/2.14  0 [] s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,cF__00),s__02(V_27A_27,V_27t1_27),s__02(V_27A_27,V_27t2_27)))=s__02(V_27A_27,V_27t2_27).
% 1.93/2.14  0 [] s__02(cbool__00,V_27P_27)!=s__02(cbool__00,V_27Q_27)|p__01(s__02(cbool__00,V_27Q_27))|s__02(V_27A_27,V_27y_27)!=s__02(V_27A_27,V_27y_7c39_7c_27)|s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,V_27P_27),s__02(V_27A_27,V_27x_27),s__02(V_27A_27,V_27y_27)))=s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,V_27Q_27),s__02(V_27A_27,V_27x_7c39_7c_27),s__02(V_27A_27,V_27y_7c39_7c_27))).
% 1.93/2.14  0 [] s__02(cbool__00,V_27P_27)!=s__02(cbool__00,V_27Q_27)|s__02(V_27A_27,V_27x_27)!=s__02(V_27A_27,V_27x_7c39_7c_27)| -p__01(s__02(cbool__00,V_27Q_27))|s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,V_27P_27),s__02(V_27A_27,V_27x_27),s__02(V_27A_27,V_27y_27)))=s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,V_27Q_27),s__02(V_27A_27,V_27x_7c39_7c_27),s__02(V_27A_27,V_27y_7c39_7c_27))).
% 1.93/2.14  0 [] s__02(cbool__00,V_27P_27)!=s__02(cbool__00,V_27Q_27)|s__02(V_27A_27,V_27x_27)!=s__02(V_27A_27,V_27x_7c39_7c_27)|s__02(V_27A_27,V_27y_27)!=s__02(V_27A_27,V_27y_7c39_7c_27)|s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,V_27P_27),s__02(V_27A_27,V_27x_27),s__02(V_27A_27,V_27y_27)))=s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,V_27Q_27),s__02(V_27A_27,V_27x_7c39_7c_27),s__02(V_27A_27,V_27y_7c39_7c_27))).
% 1.93/2.14  0 [] s__02(V_27A_27,V_27x_27)!=s__02(V_27A_27,V_27a_27)| -p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(V_27A_27,cbool__00),V_27P_27),s__02(V_27A_27,V_27x_27))))|p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(V_27A_27,cbool__00),V_27P_27),s__02(V_27A_27,V_27a_27)))).
% 1.93/2.14  0 [] s__02(V_27A_27,$f3(V_27A_27,V_27P_27,V_27a_27))=s__02(V_27A_27,V_27a_27)| -p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(V_27A_27,cbool__00),V_27P_27),s__02(V_27A_27,V_27a_27)))).
% 1.93/2.14  0 [] p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(V_27A_27,cbool__00),V_27P_27),s__02(V_27A_27,$f3(V_27A_27,V_27P_27,V_27a_27)))))| -p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(V_27A_27,cbool__00),V_27P_27),s__02(V_27A_27,V_27a_27)))).
% 1.93/2.14  0 [] s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,cT__00),s__02(V_27A_27,V_27t1_27),s__02(V_27A_27,V_27t2_27)))=s__02(V_27A_27,V_27t1_27).
% 1.93/2.14  0 [] s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,cF__00),s__02(V_27A_27,X1),s__02(V_27A_27,X2)))=s__02(V_27A_27,X2).
% 1.93/2.14  0 [] s__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),V_27x_27)=s__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),c_27const_2epair_2e_2c_27__02(s__02(V_27A_27,$f5(V_27A_27,V_27B_27,V_27x_27)),s__02(V_27B_27,$f4(V_27A_27,V_27B_27,V_27x_27)))).
% 1.93/2.14  0 [] s__02(V_27C_27,chapp__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),V_27C_27),c_27const_2epair_2eUNCURRY_27__01(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),V_27f_27))),s__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),c_27const_2epair_2e_2c_27__02(s__02(V_27A_27,V_27x_27),s__02(V_27B_27,V_27y_27)))))=s__02(V_27C_27,chapp__02(s__02(cfun__02(V_27B_27,V_27C_27),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),V_27f_27),s__02(V_27A_27,V_27x_27))),s__02(V_27B_27,V_27y_27))).
% 1.93/2.14  0 [] s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27A_27,V_27x_27)))!=s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27A_27,V_27y_27)))|s__02(V_27A_27,V_27x_27)=s__02(V_27A_27,V_27y_27).
% 1.93/2.14  0 [] s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27A_27,V_27x_27)))=s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27A_27,V_27y_27)))|s__02(V_27A_27,V_27x_27)!=s__02(V_27A_27,V_27y_27).
% 1.93/2.14  0 [] s__02(c_27type_2eoption_2eoption_27__01(V_27B_27),c_27const_2eoption_2eOPTION__MAP_27__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27A_27,V_27x_27)))))=s__02(c_27type_2eoption_2eoption_27__01(V_27B_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(V_27A_27,V_27x_27))))).
% 1.93/2.14  0 [] s__02(c_27type_2eoption_2eoption_27__01(V_27B_27),c_27const_2eoption_2eOPTION__MAP_27__02(s__02(cfun__02(V_27A_27,V_27B_27),X3),s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eNONE_27__00)))=s__02(c_27type_2eoption_2eoption_27__01(V_27B_27),c_27const_2eoption_2eNONE_27__00).
% 1.93/2.14  0 [] s__02(c_27type_2eoption_2eoption_27__01(V_27B_27),c_27const_2eoption_2eOPTION__MAP_27__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),V_27x_27)))!=s__02(c_27type_2eoption_2eoption_27__01(V_27B_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27B_27,V_27y_27)))|s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),V_27x_27)=s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27A_27,$f6(V_27B_27,V_27A_27,V_27f_27,V_27x_27,V_27y_27)))).
% 1.93/2.14  0 [] s__02(c_27type_2eoption_2eoption_27__01(V_27B_27),c_27const_2eoption_2eOPTION__MAP_27__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),V_27x_27)))!=s__02(c_27type_2eoption_2eoption_27__01(V_27B_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27B_27,V_27y_27)))|s__02(V_27B_27,V_27y_27)=s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(V_27A_27,$f6(V_27B_27,V_27A_27,V_27f_27,V_27x_27,V_27y_27)))).
% 1.93/2.14  0 [] s__02(c_27type_2eoption_2eoption_27__01(V_27B_27),c_27const_2eoption_2eOPTION__MAP_27__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),V_27x_27)))=s__02(c_27type_2eoption_2eoption_27__01(V_27B_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27B_27,V_27y_27)))|s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),V_27x_27)!=s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27A_27,V_27z_27)))|s__02(V_27B_27,V_27y_27)!=s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(V_27A_27,V_27z_27))).
% 1.93/2.14  0 [] s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eNIL_27__00)))=s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eNIL_27__00).
% 1.93/2.14  0 [] s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(V_27A_27,V_27B_27),X4),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eCONS_27__02(s__02(V_27A_27,V_27h_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27t_27)))))=s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eCONS_27__02(s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),X4),s__02(V_27A_27,V_27h_27))),s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(V_27A_27,V_27B_27),X4),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27t_27))))).
% 1.93/2.14  0 [] -p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(V_27A_27),cbool__00),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eNIL_27__00))))|p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(V_27A_27),cbool__00),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),$f8(V_27A_27,V_27P_27)))))|p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(V_27A_27),cbool__00),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l_27)))).
% 1.93/2.14  0 [] -p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(V_27A_27),cbool__00),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eNIL_27__00))))| -p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(V_27A_27),cbool__00),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eCONS_27__02(s__02(V_27A_27,$f7(V_27A_27,V_27P_27)),s__02(c_27type_2elist_2elist_27__01(V_27A_27),$f8(V_27A_27,V_27P_27)))))))|p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(V_27A_27),cbool__00),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l_27)))).
% 1.93/2.14  0 [] s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2ealist_2eALOOKUP_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(V_27B_27,V_27A_27)),c_27const_2elist_2eNIL_27__00),s__02(V_27B_27,V_27q_27)))=s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eNONE_27__00).
% 1.93/2.14  0 [] -p__01(s__02(cbool__00,$f9(V_27A_27,V_27B_27,V_27y_27,V_27x_27,V_27t_27,X5)))|s__02(V_27B_27,V_27x_27)=s__02(V_27B_27,X5).
% 1.93/2.14  0 [] p__01(s__02(cbool__00,$f9(V_27A_27,V_27B_27,V_27y_27,V_27x_27,V_27t_27,X5)))|s__02(V_27B_27,V_27x_27)!=s__02(V_27B_27,X5).
% 1.93/2.14  0 [] s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2ealist_2eALOOKUP_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(V_27B_27,V_27A_27)),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2epair_2eprod_27__02(V_27B_27,V_27A_27),c_27const_2epair_2e_2c_27__02(s__02(V_27B_27,V_27x_27),s__02(V_27A_27,V_27y_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(V_27B_27,V_27A_27)),V_27t_27))),s__02(V_27B_27,X5)))=s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,$f9(V_27A_27,V_27B_27,V_27y_27,V_27x_27,V_27t_27,X5)),s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27A_27,V_27y_27))),s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2ealist_2eALOOKUP_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(V_27B_27,V_27A_27)),V_27t_27),s__02(V_27B_27,X5))))).
% 1.93/2.14  0 [] s__02(c_27type_2epair_2eprod_27__02($c6,$c8),chapp__02(s__02(cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)),chapp__02(s__02(cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8))),chapp__02(s__02(cfun__02(cfun__02($c6,cfun__02($c7,$c8)),cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)))),$c5),s__02(cfun__02($c6,cfun__02($c7,$c8)),V_27f_27))),s__02($c6,V_27x0_27))),s__02($c7,V_27y_27)))=s__02(c_27type_2epair_2eprod_27__02($c6,$c8),c_27const_2epair_2e_2c_27__02(s__02($c6,V_27x0_27),s__02($c8,chapp__02(s__02(cfun__02($c7,$c8),chapp__02(s__02(cfun__02($c6,cfun__02($c7,$c8)),V_27f_27),s__02($c6,V_27x0_27))),s__02($c7,V_27y_27))))).
% 1.93/2.14  0 [] s__02(cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)),chapp__02(s__02(cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8))),chapp__02(s__02(cfun__02(cfun__02($c6,cfun__02($c7,$c8)),cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)))),$c4),s__02(cfun__02($c6,cfun__02($c7,$c8)),X6))),s__02($c6,X7)))=s__02(cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)),chapp__02(s__02(cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8))),chapp__02(s__02(cfun__02(cfun__02($c6,cfun__02($c7,$c8)),cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)))),$c5),s__02(cfun__02($c6,cfun__02($c7,$c8)),X6))),s__02($c6,X7))).
% 1.93/2.14  0 [] s__02(c_27type_2eoption_2eoption_27__01($c8),c_27const_2ealist_2eALOOKUP_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02($c6,$c8)),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02($c6,$c7),c_27type_2epair_2eprod_27__02($c6,$c8)),c_27const_2epair_2eUNCURRY_27__01(s__02(cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8))),chapp__02(s__02(cfun__02(cfun__02($c6,cfun__02($c7,$c8)),cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)))),$c4),s__02(cfun__02($c6,cfun__02($c7,$c8)),$c3))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02($c6,$c7)),$c2))),s__02($c6,$c1)))!=s__02(c_27type_2eoption_2eoption_27__01($c8),c_27const_2eoption_2eOPTION__MAP_27__02(s__02(cfun__02($c7,$c8),chapp__02(s__02(cfun__02($c6,cfun__02($c7,$c8)),$c3),s__02($c6,$c1))),s__02(c_27type_2eoption_2eoption_27__01($c7),c_27const_2ealist_2eALOOKUP_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02($c6,$c7)),$c2),s__02($c6,$c1))))).
% 1.93/2.14  end_of_list.
% 1.93/2.14  
% 1.93/2.14  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 1.93/2.14  
% 1.93/2.14  This ia a non-Horn set with equality.  The strategy will be
% 1.93/2.14  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.93/2.14  deletion, with positive clauses in sos and nonpositive
% 1.93/2.14  clauses in usable.
% 1.93/2.14  
% 1.93/2.14     dependent: set(knuth_bendix).
% 1.93/2.14     dependent: set(anl_eq).
% 1.93/2.14     dependent: set(para_from).
% 1.93/2.14     dependent: set(para_into).
% 1.93/2.14     dependent: clear(para_from_right).
% 1.93/2.14     dependent: clear(para_into_right).
% 1.93/2.14     dependent: set(para_from_vars).
% 1.93/2.14     dependent: set(eq_units_both_ways).
% 1.93/2.14     dependent: set(dynamic_demod_all).
% 1.93/2.14     dependent: set(dynamic_demod).
% 1.93/2.14     dependent: set(order_eq).
% 1.93/2.14     dependent: set(back_demod).
% 1.93/2.14     dependent: set(lrpo).
% 1.93/2.14     dependent: set(hyper_res).
% 1.93/2.14     dependent: set(unit_deletion).
% 1.93/2.14     dependent: set(factor).
% 1.93/2.14  
% 1.93/2.14  ------------> process usable:
% 1.93/2.14  ** KEPT (pick-wt=4): 1 [] -p__01(s__02(cbool__00,cF__00)).
% 1.93/2.14  ** KEPT (pick-wt=42): 2 [] s__02(A,chapp__02(s__02(cfun__02(B,A),C),s__02(B,$f1(B,A,C,D))))!=s__02(A,chapp__02(s__02(cfun__02(B,A),D),s__02(B,$f1(B,A,C,D))))|s__02(cfun__02(B,A),C)=s__02(cfun__02(B,A),D).
% 1.93/2.14  ** KEPT (pick-wt=15): 3 [] -p__01(s__02(cbool__00,A))| -p__01(s__02(cbool__00,B))|s__02(cbool__00,B)=s__02(cbool__00,A).
% 1.93/2.14    Following clause subsumed by 1 during input processing: 0 [] -p__01(s__02(cbool__00,cF__00))|p__01(s__02(cbool__00,A)).
% 1.93/2.14  ** KEPT (pick-wt=11): 4 [] s__02(A,B)!=s__02(A,B)|p__01(s__02(cbool__00,cT__00)).
% 1.93/2.14  ** KEPT (pick-wt=11): 5 [] s__02(A,B)=s__02(A,B)| -p__01(s__02(cbool__00,cT__00)).
% 1.93/2.14  ** KEPT (pick-wt=14): 6 [] s__02(A,B)!=s__02(A,C)|s__02(A,C)=s__02(A,B).
% 1.93/2.14    Following clause subsumed by 6 during input processing: 0 [] s__02(A,B)=s__02(A,C)|s__02(A,C)!=s__02(A,B).
% 1.93/2.14  ** KEPT (pick-wt=11): 7 [] s__02(cbool__00,cT__00)!=s__02(cbool__00,A)|p__01(s__02(cbool__00,A)).
% 1.93/2.14  ** KEPT (pick-wt=11): 8 [] s__02(cbool__00,cT__00)=s__02(cbool__00,A)| -p__01(s__02(cbool__00,A)).
% 1.93/2.14  ** KEPT (pick-wt=11): 9 [] s__02(cbool__00,A)!=s__02(cbool__00,cT__00)|p__01(s__02(cbool__00,A)).
% 1.93/2.14  ** KEPT (pick-wt=11): 10 [] s__02(cbool__00,A)=s__02(cbool__00,cT__00)| -p__01(s__02(cbool__00,A)).
% 1.93/2.14  ** KEPT (pick-wt=11): 11 [] s__02(cbool__00,cF__00)!=s__02(cbool__00,A)| -p__01(s__02(cbool__00,A)).
% 1.93/2.14  ** KEPT (pick-wt=11): 12 [] s__02(cbool__00,A)!=s__02(cbool__00,cF__00)| -p__01(s__02(cbool__00,A)).
% 1.93/2.14  ** KEPT (pick-wt=43): 13 [] s__02(cbool__00,A)!=s__02(cbool__00,B)|p__01(s__02(cbool__00,B))|s__02(C,D)!=s__02(C,E)|s__02(C,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,A),s__02(C,F),s__02(C,D)))=s__02(C,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,B),s__02(C,G),s__02(C,E))).
% 1.93/2.14  ** KEPT (pick-wt=43): 14 [] s__02(cbool__00,A)!=s__02(cbool__00,B)|s__02(C,D)!=s__02(C,E)| -p__01(s__02(cbool__00,B))|s__02(C,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,A),s__02(C,D),s__02(C,F)))=s__02(C,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,B),s__02(C,E),s__02(C,G))).
% 1.93/2.14  ** KEPT (pick-wt=46): 15 [] s__02(cbool__00,A)!=s__02(cbool__00,B)|s__02(C,D)!=s__02(C,E)|s__02(C,F)!=s__02(C,G)|s__02(C,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,A),s__02(C,D),s__02(C,F)))=s__02(C,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,B),s__02(C,E),s__02(C,G))).
% 1.93/2.14  ** KEPT (pick-wt=31): 16 [] s__02(A,B)!=s__02(A,C)| -p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(A,cbool__00),D),s__02(A,B))))|p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(A,cbool__00),D),s__02(A,C)))).
% 1.93/2.14  ** KEPT (pick-wt=22): 17 [] s__02(A,$f3(A,B,C))=s__02(A,C)| -p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(A,cbool__00),B),s__02(A,C)))).
% 1.93/2.14  ** KEPT (pick-wt=27): 18 [] p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(A,cbool__00),B),s__02(A,$f3(A,B,C)))))| -p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(A,cbool__00),B),s__02(A,C)))).
% 1.93/2.14  ** KEPT (pick-wt=22): 19 [] s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eSOME_27__01(s__02(A,B)))!=s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eSOME_27__01(s__02(A,C)))|s__02(A,B)=s__02(A,C).
% 1.93/2.14  ** KEPT (pick-wt=22): 20 [] s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eSOME_27__01(s__02(A,B)))=s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eSOME_27__01(s__02(A,C)))|s__02(A,B)!=s__02(A,C).
% 1.93/2.14  ** KEPT (pick-wt=38): 22 [copy,21,flip.2] s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eOPTION__MAP_27__02(s__02(cfun__02(B,A),C),s__02(c_27type_2eoption_2eoption_27__01(B),D)))!=s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eSOME_27__01(s__02(A,E)))|s__02(c_27type_2eoption_2eoption_27__01(B),c_27const_2eoption_2eSOME_27__01(s__02(B,$f6(A,B,C,D,E))))=s__02(c_27type_2eoption_2eoption_27__01(B),D).
% 1.93/2.14  ** KEPT (pick-wt=41): 24 [copy,23,flip.2] s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eOPTION__MAP_27__02(s__02(cfun__02(B,A),C),s__02(c_27type_2eoption_2eoption_27__01(B),D)))!=s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eSOME_27__01(s__02(A,E)))|s__02(A,chapp__02(s__02(cfun__02(B,A),C),s__02(B,$f6(A,B,C,D,E))))=s__02(A,E).
% 1.93/2.14  ** KEPT (pick-wt=48): 25 [] s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eOPTION__MAP_27__02(s__02(cfun__02(B,A),C),s__02(c_27type_2eoption_2eoption_27__01(B),D)))=s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eSOME_27__01(s__02(A,E)))|s__02(c_27type_2eoption_2eoption_27__01(B),D)!=s__02(c_27type_2eoption_2eoption_27__01(B),c_27const_2eoption_2eSOME_27__01(s__02(B,F)))|s__02(A,E)!=s__02(A,chapp__02(s__02(cfun__02(B,A),C),s__02(B,F))).
% 1.93/2.14  ** KEPT (pick-wt=30): 27 [copy,26,factor_simp] -p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(A),cbool__00),B),s__02(c_27type_2elist_2elist_27__01(A),c_27const_2elist_2eNIL_27__00))))|p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(A),cbool__00),B),s__02(c_27type_2elist_2elist_27__01(A),$f8(A,B))))).
% 1.93/2.14  ** KEPT (pick-wt=53): 28 [] -p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(A),cbool__00),B),s__02(c_27type_2elist_2elist_27__01(A),c_27const_2elist_2eNIL_27__00))))| -p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(A),cbool__00),B),s__02(c_27type_2elist_2elist_27__01(A),c_27const_2elist_2eCONS_27__02(s__02(A,$f7(A,B)),s__02(c_27type_2elist_2elist_27__01(A),$f8(A,B)))))))|p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(A),cbool__00),B),s__02(c_27type_2elist_2elist_27__01(A),C)))).
% 1.93/2.14  ** KEPT (pick-wt=17): 29 [] -p__01(s__02(cbool__00,$f9(A,B,C,D,E,F)))|s__02(B,D)=s__02(B,F).
% 1.93/2.14  ** KEPT (pick-wt=17): 30 [] p__01(s__02(cbool__00,$f9(A,B,C,D,E,F)))|s__02(B,D)!=s__02(B,F).
% 1.93/2.14  ** KEPT (pick-wt=92): 32 [copy,31,flip.1] s__02(c_27type_2eoption_2eoption_27__01($c8),c_27const_2eoption_2eOPTION__MAP_27__02(s__02(cfun__02($c7,$c8),chapp__02(s__02(cfun__02($c6,cfun__02($c7,$c8)),$c3),s__02($c6,$c1))),s__02(c_27type_2eoption_2eoption_27__01($c7),c_27const_2ealist_2eALOOKUP_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02($c6,$c7)),$c2),s__02($c6,$c1)))))!=s__02(c_27type_2eoption_2eoption_27__01($c8),c_27const_2ealist_2eALOOKUP_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02($c6,$c8)),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02($c6,$c7),c_27type_2epair_2eprod_27__02($c6,$c8)),c_27const_2epair_2eUNCURRY_27__01(s__02(cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8))),chapp__02(s__02(cfun__02(cfun__02($c6,cfun__02($c7,$c8)),cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)))),$c4),s__02(cfun__02($c6,cfun__02($c7,$c8)),$c3))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02($c6,$c7)),$c2))),s__02($c6,$c1))).
% 1.93/2.14  
% 1.93/2.14  ------------> process sos:
% 1.93/2.14  ** KEPT (pick-wt=3): 40 [] A=A.
% 1.93/2.14  ** KEPT (pick-wt=4): 41 [] p__01(s__02(cbool__00,cT__00)).
% 1.93/2.14  ** KEPT (pick-wt=14): 42 [] s__02(cbool__00,A)=s__02(cbool__00,cT__00)|s__02(cbool__00,A)=s__02(cbool__00,cF__00).
% 1.93/2.14    Following clause subsumed by 40 during input processing: 0 [] s__02(A,chapp__02(s__02(cfun__02(B,A),C),s__02(B,D)))=s__02(A,chapp__02(s__02(cfun__02(B,A),C),s__02(B,D))).
% 1.93/2.14    Following clause subsumed by 41 during input processing: 0 [] p__01(s__02(cbool__00,cT__00)).
% 1.93/2.14  ** KEPT (pick-wt=15): 43 [] p__01(s__02(cbool__00,A))|p__01(s__02(cbool__00,B))|s__02(cbool__00,A)=s__02(cbool__00,B).
% 1.93/2.14  ** KEPT (pick-wt=11): 44 [] s__02(cbool__00,cF__00)=s__02(cbool__00,A)|p__01(s__02(cbool__00,A)).
% 1.93/2.14  ** KEPT (pick-wt=11): 45 [] s__02(cbool__00,A)=s__02(cbool__00,cF__00)|p__01(s__02(cbool__00,A)).
% 1.93/2.14  ** KEPT (pick-wt=16): 46 [] s__02(A,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,cT__00),s__02(A,B),s__02(A,C)))=s__02(A,B).
% 1.93/2.14  ---> New Demodulator: 47 [new_demod,46] s__02(A,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,cT__00),s__02(A,B),s__02(A,C)))=s__02(A,B).
% 1.93/2.14  ** KEPT (pick-wt=16): 48 [] s__02(A,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,cF__00),s__02(A,B),s__02(A,C)))=s__02(A,C).
% 1.93/2.14  ---> New Demodulator: 49 [new_demod,48] s__02(A,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,cF__00),s__02(A,B),s__02(A,C)))=s__02(A,C).
% 1.93/2.14    Following clause subsumed by 40 during input processing: 0 [demod,47] s__02(A,B)=s__02(A,B).
% 1.93/2.14    Following clause subsumed by 40 during input processing: 0 [demod,49] s__02(A,C)=s__02(A,C).
% 1.93/2.14  ** KEPT (pick-wt=23): 51 [copy,50,flip.1] s__02(c_27type_2epair_2eprod_27__02(A,B),c_27const_2epair_2e_2c_27__02(s__02(A,$f5(A,B,C)),s__02(B,$f4(A,B,C))))=s__02(c_27type_2epair_2eprod_27__02(A,B),C).
% 1.93/2.14  ---> New Demodulator: 52 [new_demod,51] s__02(c_27type_2epair_2eprod_27__02(A,B),c_27const_2epair_2e_2c_27__02(s__02(A,$f5(A,B,C)),s__02(B,$f4(A,B,C))))=s__02(c_27type_2epair_2eprod_27__02(A,B),C).
% 1.93/2.14  ** KEPT (pick-wt=50): 53 [] s__02(A,chapp__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(B,C),A),c_27const_2epair_2eUNCURRY_27__01(s__02(cfun__02(B,cfun__02(C,A)),D))),s__02(c_27type_2epair_2eprod_27__02(B,C),c_27const_2epair_2e_2c_27__02(s__02(B,E),s__02(C,F)))))=s__02(A,chapp__02(s__02(cfun__02(C,A),chapp__02(s__02(cfun__02(B,cfun__02(C,A)),D),s__02(B,E))),s__02(C,F))).
% 1.93/2.14  ** KEPT (pick-wt=32): 54 [] s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eOPTION__MAP_27__02(s__02(cfun__02(B,A),C),s__02(c_27type_2eoption_2eoption_27__01(B),c_27const_2eoption_2eSOME_27__01(s__02(B,D)))))=s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eSOME_27__01(s__02(A,chapp__02(s__02(cfun__02(B,A),C),s__02(B,D))))).
% 1.93/2.14  ** KEPT (pick-wt=18): 55 [] s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eOPTION__MAP_27__02(s__02(cfun__02(B,A),C),s__02(c_27type_2eoption_2eoption_27__01(B),c_27const_2eoption_2eNONE_27__00)))=s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eNONE_27__00).
% 1.93/2.14  ---> New Demodulator: 56 [new_demod,55] s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eOPTION__MAP_27__02(s__02(cfun__02(B,A),C),s__02(c_27type_2eoption_2eoption_27__01(B),c_27const_2eoption_2eNONE_27__00)))=s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eNONE_27__00).
% 1.93/2.14  ** KEPT (pick-wt=18): 57 [] s__02(c_27type_2elist_2elist_27__01(A),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(B,A),C),s__02(c_27type_2elist_2elist_27__01(B),c_27const_2elist_2eNIL_27__00)))=s__02(c_27type_2elist_2elist_27__01(A),c_27const_2elist_2eNIL_27__00).
% 1.93/2.14  ---> New Demodulator: 58 [new_demod,57] s__02(c_27type_2elist_2elist_27__01(A),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(B,A),C),s__02(c_27type_2elist_2elist_27__01(B),c_27const_2elist_2eNIL_27__00)))=s__02(c_27type_2elist_2elist_27__01(A),c_27const_2elist_2eNIL_27__00).
% 1.93/2.14  ** KEPT (pick-wt=49): 59 [] s__02(c_27type_2elist_2elist_27__01(A),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(B,A),C),s__02(c_27type_2elist_2elist_27__01(B),c_27const_2elist_2eCONS_27__02(s__02(B,D),s__02(c_27type_2elist_2elist_27__01(B),E)))))=s__02(c_27type_2elist_2elist_27__01(A),c_27const_2elist_2eCONS_27__02(s__02(A,chapp__02(s__02(cfun__02(B,A),C),s__02(B,D))),s__02(c_27type_2elist_2elist_27__01(A),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(B,A),C),s__02(c_27type_2elist_2elist_27__01(B),E))))).
% 1.93/2.14  ** KEPT (pick-wt=18): 60 [] s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2ealist_2eALOOKUP_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(B,A)),c_27const_2elist_2eNIL_27__00),s__02(B,C)))=s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eNONE_27__00).
% 1.93/2.14  ---> New Demodulator: 61 [new_demod,60] s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2ealist_2eALOOKUP_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(B,A)),c_27const_2elist_2eNIL_27__00),s__02(B,C)))=s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eNONE_27__00).
% 1.93/2.14  ** KEPT (pick-wt=64): 62 [] s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2ealist_2eALOOKUP_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(B,A)),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2epair_2eprod_27__02(B,A),c_27const_2epair_2e_2c_27__02(s__02(B,C),s__02(A,D))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(B,A)),E))),s__02(B,F)))=s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,$f9(A,B,D,C,E,F)),s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eSOME_27__01(s__02(A,D))),s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2ealist_2eALOOKUP_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(B,A)),E),s__02(B,F))))).
% 1.93/2.14  ** KEPT (pick-wt=79): 63 [] s__02(c_27type_2epair_2eprod_27__02($c6,$c8),chapp__02(s__02(cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)),chapp__02(s__02(cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8))),chapp__02(s__02(cfun__02(cfun__02($c6,cfun__02($c7,$c8)),cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)))),$c5),s__02(cfun__02($c6,cfun__02($c7,$c8)),A))),s__02($c6,B))),s__02($c7,C)))=s__02(c_27type_2epair_2eprod_27__02($c6,$c8),c_27const_2epair_2e_2c_27__02(s__02($c6,B),s__02($c8,chapp__02(s__02(cfun__02($c7,$c8),chapp__02(s__02(cfun__02($c6,cfun__02($c7,$c8)),A),s__02($c6,B))),s__02($c7,C))))).
% 1.93/2.14  ** KEPT (pick-wt=83): 65 [copy,64,flip.1] s__02(cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)),chapp__02(s__02(cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8))),chapp__02(s__02(cfun__02(cfun__02($c6,cfun__02($c7,$c8)),cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)))),$c5),s__02(cfun__02($c6,cfun__02($c7,$c8)),A))),s__02($c6,B)))=s__02(cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)),chapp__02(s__02(cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8))),chapp__02(s__02(cfun__02(cfun__02($c6,cfun__02($c7,$c8)),cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)))),$c4),s__02(cfun__02($c6,cfun__02($c7,$c8)),A))),s__02($c6,B))).
% 1.93/2.14  ---> New Demodulator: 66 [new_demod,65] s__02(cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)),chapp__02(s__02(cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8))),chapp__02(s__02(cfun__02(cfun__02($c6,cfun__02($c7,$c8)),cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)))),$c5),s__02(cfun__02($c6,cfun__02($c7,$c8)),A))),s__02($c6,B)))=s__02(cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)),chapp__02(s__02(cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8))),chapp__02(s__02(cfun__02(cfun__02($c6,cfun__02($c7,$c8)),cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)))),$c4),s__02(cfun__02($c6,cfun__02($c7,$c8)),A))),s__02($c6,B))).
% 1.93/2.14    Following clause subsumed by 40 during input processing: 0 [copy,40,flip.1] A=A.
% 1.93/2.14  40 back subsumes 33.
% 1.93/2.14  40 back subsumes 5.
% 1.93/2.14  41 back subsumes 4.
% 1.93/2.14  >>>> Starting back demodulation with 47.
% 1.93/2.14  >>>> Starting back demodulation with 49.
% 1.93/2.14  >>>> Starting back demodulation with 52.
% 1.93/2.14  ** KEPT (pick-wt=50): 67 [copy,53,flip.1] s__02(A,chapp__02(s__02(cfun__02(B,A),chapp__02(s__02(cfun__02(C,cfun__02(B,A)),D),s__02(C,E))),s__02(B,F)))=s__02(A,chapp__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(C,B),A),c_27const_2epair_2eUNCURRY_27__01(s__02(cfun__02(C,cfun__02(B,A)),D))),s__02(c_27type_2epair_2eprod_27__02(C,B),c_27const_2epair_2e_2c_27__02(s__02(C,E),s__02(B,F))))).
% 1.93/2.14  ** KEPT (pick-wt=32): 68 [copy,54,flip.1] s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eSOME_27__01(s__02(A,chapp__02(s__02(cfun__02(B,A),C),s__02(B,D)))))=s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eOPTION__MAP_27__02(s__02(cfun__02(B,A),C),s__02(c_27type_2eoption_2eoption_27__01(B),c_27const_2eoption_2eSOME_27__01(s__02(B,D))))).
% 1.93/2.14  >>>> Starting back demodulation with 56.
% 1.93/2.14  >>>> Starting back demodulation with 58.
% 1.93/2.14  ** KEPT (pick-wt=49): 69 [copy,59,flip.1] s__02(c_27type_2elist_2elist_27__01(A),c_27const_2elist_2eCONS_27__02(s__02(A,chapp__02(s__02(cfun__02(B,A),C),s__02(B,D))),s__02(c_27type_2elist_2elist_27__01(A),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(B,A),C),s__02(c_27type_2elist_2elist_27__01(B),E)))))=s__02(c_27type_2elist_2elist_27__01(A),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(B,A),C),s__02(c_27type_2elist_2elist_27__01(B),c_27const_2elist_2eCONS_27__02(s__02(B,D),s__02(c_27type_2elist_2elist_27__01(B),E))))).
% 1.93/2.14  >>>> Starting back demodulation with 61.
% 1.93/2.14  ** KEPT (pick-wt=64): 70 [copy,62,flip.1] s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,$f9(A,B,C,D,E,F)),s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eSOME_27__01(s__02(A,C))),s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2ealist_2eALOOKUP_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(B,A)),E),s__02(B,F)))))=s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2ealist_2eALOOKUP_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(B,A)),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2epair_2eprod_27__02(B,A),c_27const_2epair_2e_2c_27__02(s__02(B,D),s__02(A,C))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(B,A)),E))),s__02(B,F))).
% 1.93/2.14  ** KEPT (pick-wt=79): 71 [copy,63,flip.1,demod,66] s__02(c_27type_2epair_2eprod_27__02($c6,$c8),c_27const_2epair_2e_2c_27__02(s__02($c6,A),s__02($c8,chapp__02(s__02(cfun__02($c7,$c8),chapp__02(s__02(cfun__02($c6,cfun__02($c7,$c8)),B),s__02($c6,A))),s__02($c7,C)))))=s__02(c_27type_2epair_2eprod_27__02($c6,$c8),chapp__02(s__02(cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)),chapp__02(s__02(cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8))),chapp__02(s__02(cfun__02(cfun__02($c6,cfun__02($c7,$c8)),cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)))),$c4),s__02(cfun__02($c6,cfun__02($c7,$c8)),B))),s__02($c6,A))),s__02($c7,C))).
% 1.93/2.14  >>>> Starting back demodulation with 66.
% 1.93/2.14      >> back demodulating 63 with 66.
% 1.93/2.14    Following clause subsumed by 53 during input processing: 0 [copy,67,flip.1] s__02(A,chapp__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(B,C),A),c_27const_2epair_2eUNCURRY_27__01(s__02(cfun__02(B,cfun__02(C,A)),D))),s__02(c_27type_2epair_2eprod_27__02(B,C),c_27const_2epair_2e_2c_27__02(s__02(B,E),s__02(C,F)))))=s__02(A,chapp__02(s__02(cfun__02(C,A),chapp__02(s__02(cfun__02(B,cfun__02(C,A)),D),s__02(B,E))),s__02(C,F))).
% 1.93/2.14    Following clause subsumed by 54 during input processing: 0 [copy,68,flip.1] s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eOPTION__MAP_27__02(s__02(cfun__02(B,A),C),s__02(c_27type_2eoption_2eoption_27__01(B),c_27const_2eoption_2eSOME_27__01(s__02(B,D)))))=s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eSOME_27__01(s__02(A,chapp__02(s__02(cfun__02(B,A),C),s__02(B,D))))).
% 1.93/2.14    Following clause subsumed by 59 during input processing: 0 [copy,69,flip.1] s__02(c_27type_2elist_2elist_27__01(A),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(B,A),C),s__02(c_27type_2elist_2elist_27__01(B),c_27const_2elist_2eCONS_27__02(s__02(B,D),s__02(c_27type_2elist_2elist_27__01(B),E)))))=s__02(c_27type_2elist_2elist_27__01(A),c_27const_2elist_2eCONS_27__02(s__02(A,chapp__02(s__02(cfun__02(B,A),C),s__02(B,D))),s__02(c_27type_2elist_2elist_27__01(A),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(B,A),C),s__02(c_27type_2elist_2elist_27__01(B),E))))).
% 1.93/2.14    Following clause subsumed by 62 during input processing: 0 [copy,70,flip.1] s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2ealist_2eALOOKUP_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(B,A)),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2epair_2eprod_27__02(B,A),c_27const_2epair_2e_2c_27__02(s__02(B,C),s__02(A,D))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(B,A)),E))),s__02(B,F)))=s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,$f9(A,B,D,C,E,F)),s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2eoption_2eSOME_27__01(s__02(A,D))),s__02(c_27type_2eoption_2eoption_27__01(A),c_27const_2ealist_2eALOOKUP_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(B,A)),E),s__02(B,F))))).
% 1.93/2.14    Following clause subsumed by 72 during input processing: 0 [copy,71,flip.1] s__02(c_27type_2epair_2eprod_27__02($c6,$c8),chapp__02(s__02(cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)),chapp__02(s__02(cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8))),chapp__02(s__02(cfun__02(cfun__02($c6,cfun__02($c7,$c8)),cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)))),$c4),s__02(cfun__02($c6,cfun__02($c7,$c8)),A))),s__02($c6,B))),s__02($c7,C)))=s__02(c_27type_2epair_2eprod_27__02($c6,$c8),c_27const_2epair_2e_2c_27__02(s__02($c6,B),s__02($c8,chapp__02(s__02(cfun__02($c7,$c8),chapp__02(s__02(cfun__02($c6,cfun__02($c7,$c8)),A),s__02($c6,B))),s__02($c7,C))))).
% 2.05/2.23    Following clause subsumed by 71 during input processing: 0 [copy,72,flip.1] s__02(c_27type_2epair_2eprod_27__02($c6,$c8),c_27const_2epair_2e_2c_27__02(s__02($c6,A),s__02($c8,chapp__02(s__02(cfun__02($c7,$c8),chapp__02(s__02(cfun__02($c6,cfun__02($c7,$c8)),B),s__02($c6,A))),s__02($c7,C)))))=s__02(c_27type_2epair_2eprod_27__02($c6,$c8),chapp__02(s__02(cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)),chapp__02(s__02(cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8))),chapp__02(s__02(cfun__02(cfun__02($c6,cfun__02($c7,$c8)),cfun__02($c6,cfun__02($c7,c_27type_2epair_2eprod_27__02($c6,$c8)))),$c4),s__02(cfun__02($c6,cfun__02($c7,$c8)),B))),s__02($c6,A))),s__02($c7,C))).
% 2.05/2.23  
% 2.05/2.23  ======= end of input processing =======
% 2.05/2.23  
% 2.05/2.23  =========== start of search ===========
% 2.05/2.23  
% 2.05/2.23  
% 2.05/2.23  Resetting weight limit to 11.
% 2.05/2.23  
% 2.05/2.23  
% 2.05/2.23  Resetting weight limit to 11.
% 2.05/2.23  
% 2.05/2.23  sos_size=22
% 2.05/2.23  
% 2.05/2.23  Search stopped because sos empty.
% 2.05/2.23  
% 2.05/2.23  
% 2.05/2.23  Search stopped because sos empty.
% 2.05/2.23  
% 2.05/2.23  ============ end of search ============
% 2.05/2.23  
% 2.05/2.23  -------------- statistics -------------
% 2.05/2.23  clauses given                 25
% 2.05/2.23  clauses generated           6379
% 2.05/2.23  clauses kept                  61
% 2.05/2.23  clauses forward subsumed     275
% 2.05/2.23  clauses back subsumed          3
% 2.05/2.23  Kbytes malloced             6835
% 2.05/2.23  
% 2.05/2.23  ----------- times (seconds) -----------
% 2.05/2.23  user CPU time          0.09          (0 hr, 0 min, 0 sec)
% 2.05/2.23  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 2.05/2.23  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 2.05/2.23  
% 2.05/2.23  Process 7944 finished Wed Jul 27 03:12:16 2022
% 2.05/2.23  Otter interrupted
% 2.05/2.23  PROOF NOT FOUND
%------------------------------------------------------------------------------