TSTP Solution File: SWW899+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWW899+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n011.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 13:23:09 EDT 2022

% Result   : Unknown 7.98s 8.21s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW899+1 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Jul 27 02:48:55 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.06/2.24  ----- Otter 3.3f, August 2004 -----
% 2.06/2.24  The process was started by sandbox on n011.cluster.edu,
% 2.06/2.24  Wed Jul 27 02:48:55 2022
% 2.06/2.24  The command was "./otter".  The process ID is 29075.
% 2.06/2.24  
% 2.06/2.24  set(prolog_style_variables).
% 2.06/2.24  set(auto).
% 2.06/2.24     dependent: set(auto1).
% 2.06/2.24     dependent: set(process_input).
% 2.06/2.24     dependent: clear(print_kept).
% 2.06/2.24     dependent: clear(print_new_demod).
% 2.06/2.24     dependent: clear(print_back_demod).
% 2.06/2.24     dependent: clear(print_back_sub).
% 2.06/2.24     dependent: set(control_memory).
% 2.06/2.24     dependent: assign(max_mem, 12000).
% 2.06/2.24     dependent: assign(pick_given_ratio, 4).
% 2.06/2.24     dependent: assign(stats_level, 1).
% 2.06/2.24     dependent: assign(max_seconds, 10800).
% 2.06/2.24  clear(print_given).
% 2.06/2.24  
% 2.06/2.24  formula_list(usable).
% 2.06/2.24  all A (A=A).
% 2.06/2.24  p__01(s__02(cbool__00,cT__00)).
% 2.06/2.24  -p__01(s__02(cbool__00,cF__00)).
% 2.06/2.24  all Vt (s__02(cbool__00,Vt)=s__02(cbool__00,cT__00)|s__02(cbool__00,Vt)=s__02(cbool__00,cF__00)).
% 2.06/2.24  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)).
% 2.06/2.24  all V_27A_27 V_27P_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_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,c_27const_2emin_2e_40_27__01(s__02(cfun__02(V_27A_27,cbool__00),V_27P_27))))))).
% 2.06/2.24  p__01(s__02(cbool__00,cT__00)).
% 2.06/2.24  all V_27t_27 (((p__01(s__02(cbool__00,cT__00))->p__01(s__02(cbool__00,V_27t_27)))<->p__01(s__02(cbool__00,V_27t_27)))& ((p__01(s__02(cbool__00,V_27t_27))->p__01(s__02(cbool__00,cT__00)))<->p__01(s__02(cbool__00,cT__00)))& ((p__01(s__02(cbool__00,cF__00))->p__01(s__02(cbool__00,V_27t_27)))<->p__01(s__02(cbool__00,cT__00)))& ((p__01(s__02(cbool__00,V_27t_27))->p__01(s__02(cbool__00,V_27t_27)))<->p__01(s__02(cbool__00,cT__00)))& ((p__01(s__02(cbool__00,V_27t_27))->p__01(s__02(cbool__00,cF__00)))<-> -p__01(s__02(cbool__00,V_27t_27)))).
% 2.06/2.24  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)).
% 2.06/2.24  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)))).
% 2.06/2.24  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)))).
% 2.06/2.24  all V_27x_27 V_27x_7c39_7c_27 V_27y_27 V_27y_7c39_7c_27 (s__02(cbool__00,V_27x_27)=s__02(cbool__00,V_27x_7c39_7c_27)& (p__01(s__02(cbool__00,V_27x_7c39_7c_27))->s__02(cbool__00,V_27y_27)=s__02(cbool__00,V_27y_7c39_7c_27))-> ((p__01(s__02(cbool__00,V_27x_27))->p__01(s__02(cbool__00,V_27y_27)))<-> (p__01(s__02(cbool__00,V_27x_7c39_7c_27))->p__01(s__02(cbool__00,V_27y_7c39_7c_27))))).
% 2.06/2.24  all V_27A_27 V_27x_27 (s__02(V_27A_27,c_27const_2ecombin_2eI_27__01(s__02(V_27A_27,V_27x_27)))=s__02(V_27A_27,V_27x_27)).
% 2.06/2.24  all V_27A_27 p__01(s__02(cbool__00,c_27const_2erelation_2eWF_27__01(s__02(cfun__02(V_27A_27,cfun__02(V_27A_27,cbool__00)),c_27const_2erelation_2eEMPTY__REL_27__00)))).
% 2.06/2.24  all V_27B_27 V_27A_27 V_27M_27 V_27R_27 V_27f_27 (s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27)=s__02(cfun__02(V_27A_27,V_27B_27),c_27const_2erelation_2eWFREC_27__02(s__02(cfun__02(V_27A_27,cfun__02(V_27A_27,cbool__00)),V_27R_27),s__02(cfun__02(cfun__02(V_27A_27,V_27B_27),cfun__02(V_27A_27,V_27B_27)),V_27M_27)))-> (p__01(s__02(cbool__00,c_27const_2erelation_2eWF_27__01(s__02(cfun__02(V_27A_27,cfun__02(V_27A_27,cbool__00)),V_27R_27))))-> (all V_27x_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_27x_27)))=s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,V_27B_27),cfun__02(V_27A_27,V_27B_27)),V_27M_27),s__02(cfun__02(V_27A_27,V_27B_27),c_27const_2erelation_2eRESTRICT_27__03(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(cfun__02(V_27A_27,cfun__02(V_27A_27,cbool__00)),V_27R_27),s__02(V_27A_27,V_27x_27))))),s__02(V_27A_27,V_27x_27))))))).
% 2.06/2.24  all V_27A_27 V_27B_27 V_27C_27 V_27y_27 V_27x_27 V_27f_27 (s__02(V_27A_27,c_27const_2epair_2epair__CASE_27__02(s__02(c_27type_2epair_2eprod_27__02(V_27B_27,V_27C_27),c_27const_2epair_2e_2c_27__02(s__02(V_27B_27,V_27x_27),s__02(V_27C_27,V_27y_27))),s__02(cfun__02(V_27B_27,cfun__02(V_27C_27,V_27A_27)),V_27f_27)))=s__02(V_27A_27,chapp__02(s__02(cfun__02(V_27C_27,V_27A_27),chapp__02(s__02(cfun__02(V_27B_27,cfun__02(V_27C_27,V_27A_27)),V_27f_27),s__02(V_27B_27,V_27x_27))),s__02(V_27C_27,V_27y_27)))).
% 2.06/2.24  all V_27A_27 ((all V_27v_27 V_27f_27 (s__02(V_27A_27,c_27const_2earithmetic_2enum__CASE_27__03(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(V_27A_27,V_27v_27),s__02(cfun__02(c_27type_2enum_2enum_27__00,V_27A_27),V_27f_27)))=s__02(V_27A_27,V_27v_27)))& (all V_27n_27 V_27v_27 V_27f_27 (s__02(V_27A_27,c_27const_2earithmetic_2enum__CASE_27__03(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(V_27A_27,V_27v_27),s__02(cfun__02(c_27type_2enum_2enum_27__00,V_27A_27),V_27f_27)))=s__02(V_27A_27,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,V_27A_27),V_27f_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27)))))).
% 2.06/2.24  all V_27m_27 (s__02(c_27type_2enum_2enum_27__00,V_27m_27)=s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)| (exists V_27n_27 (s__02(c_27type_2enum_2enum_27__00,V_27m_27)=s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27)))))).
% 2.06/2.24  -(all V_27V1_27 V_27V2_27 V_27x_27 V_27y_27 ((all V_27x0_27 V_27y0_27 (p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),V_27V1_27),s__02(c_27type_2enum_2enum_27__00,V_27x0_27))),s__02(c_27type_2enum_2enum_27__00,V_27y0_27))))->p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),V_27V2_27),s__02(c_27type_2enum_2enum_27__00,V_27x0_27))),s__02(c_27type_2enum_2enum_27__00,V_27y0_27))))))-> (p__01(s__02(cbool__00,c_27const_2eexh__to__patProof_2ebind_27__03(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),V_27V1_27),s__02(c_27type_2enum_2enum_27__00,V_27x_27),s__02(c_27type_2enum_2enum_27__00,V_27y_27))))->p__01(s__02(cbool__00,c_27const_2eexh__to__patProof_2ebind_27__03(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),V_27V2_27),s__02(c_27type_2enum_2enum_27__00,V_27x_27),s__02(c_27type_2enum_2enum_27__00,V_27y_27))))))).
% 2.06/2.24  end_of_list.
% 2.06/2.24  
% 2.06/2.24  -------> usable clausifies to:
% 2.06/2.24  
% 2.06/2.24  list(usable).
% 2.06/2.24  0 [] A=A.
% 2.06/2.24  0 [] p__01(s__02(cbool__00,cT__00)).
% 2.06/2.24  0 [] -p__01(s__02(cbool__00,cF__00)).
% 2.06/2.24  0 [] s__02(cbool__00,Vt)=s__02(cbool__00,cT__00)|s__02(cbool__00,Vt)=s__02(cbool__00,cF__00).
% 2.06/2.24  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).
% 2.06/2.24  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,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,c_27const_2emin_2e_40_27__01(s__02(cfun__02(V_27A_27,cbool__00),V_27P_27)))))).
% 2.06/2.24  0 [] p__01(s__02(cbool__00,cT__00)).
% 2.06/2.24  0 [] -p__01(s__02(cbool__00,cF__00))|p__01(s__02(cbool__00,V_27t_27))| -p__01(s__02(cbool__00,cT__00)).
% 2.06/2.24  0 [] p__01(s__02(cbool__00,cT__00)).
% 2.06/2.24  0 [] -p__01(s__02(cbool__00,cF__00))| -p__01(s__02(cbool__00,V_27t_27)).
% 2.06/2.24  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).
% 2.06/2.24  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).
% 2.06/2.24  0 [] s__02(cbool__00,cT__00)!=s__02(cbool__00,V_27t_27)|p__01(s__02(cbool__00,V_27t_27)).
% 2.06/2.24  0 [] s__02(cbool__00,cT__00)=s__02(cbool__00,V_27t_27)| -p__01(s__02(cbool__00,V_27t_27)).
% 2.06/2.24  0 [] s__02(cbool__00,V_27t_27)!=s__02(cbool__00,cT__00)|p__01(s__02(cbool__00,V_27t_27)).
% 2.06/2.24  0 [] s__02(cbool__00,V_27t_27)=s__02(cbool__00,cT__00)| -p__01(s__02(cbool__00,V_27t_27)).
% 2.06/2.24  0 [] s__02(cbool__00,cF__00)!=s__02(cbool__00,V_27t_27)| -p__01(s__02(cbool__00,V_27t_27)).
% 2.06/2.24  0 [] s__02(cbool__00,cF__00)=s__02(cbool__00,V_27t_27)|p__01(s__02(cbool__00,V_27t_27)).
% 2.06/2.24  0 [] s__02(cbool__00,V_27t_27)!=s__02(cbool__00,cF__00)| -p__01(s__02(cbool__00,V_27t_27)).
% 2.06/2.24  0 [] s__02(cbool__00,V_27t_27)=s__02(cbool__00,cF__00)|p__01(s__02(cbool__00,V_27t_27)).
% 2.06/2.24  0 [] s__02(cbool__00,V_27x_27)!=s__02(cbool__00,V_27x_7c39_7c_27)|p__01(s__02(cbool__00,V_27x_7c39_7c_27))| -p__01(s__02(cbool__00,V_27x_27))|p__01(s__02(cbool__00,V_27y_27)).
% 2.06/2.24  0 [] s__02(cbool__00,V_27x_27)!=s__02(cbool__00,V_27x_7c39_7c_27)|s__02(cbool__00,V_27y_27)!=s__02(cbool__00,V_27y_7c39_7c_27)|p__01(s__02(cbool__00,V_27x_27))| -p__01(s__02(cbool__00,V_27x_7c39_7c_27))|p__01(s__02(cbool__00,V_27y_7c39_7c_27)).
% 2.06/2.24  0 [] s__02(cbool__00,V_27x_27)!=s__02(cbool__00,V_27x_7c39_7c_27)|s__02(cbool__00,V_27y_27)!=s__02(cbool__00,V_27y_7c39_7c_27)| -p__01(s__02(cbool__00,V_27y_27))| -p__01(s__02(cbool__00,V_27x_7c39_7c_27))|p__01(s__02(cbool__00,V_27y_7c39_7c_27)).
% 2.06/2.24  0 [] s__02(cbool__00,V_27x_27)!=s__02(cbool__00,V_27x_7c39_7c_27)|s__02(cbool__00,V_27y_27)!=s__02(cbool__00,V_27y_7c39_7c_27)| -p__01(s__02(cbool__00,V_27x_27))|p__01(s__02(cbool__00,V_27y_27))| -p__01(s__02(cbool__00,V_27y_7c39_7c_27)).
% 2.06/2.24  0 [] s__02(V_27A_27,c_27const_2ecombin_2eI_27__01(s__02(V_27A_27,V_27x_27)))=s__02(V_27A_27,V_27x_27).
% 2.06/2.24  0 [] p__01(s__02(cbool__00,c_27const_2erelation_2eWF_27__01(s__02(cfun__02(V_27A_27,cfun__02(V_27A_27,cbool__00)),c_27const_2erelation_2eEMPTY__REL_27__00)))).
% 2.06/2.24  0 [] s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27)!=s__02(cfun__02(V_27A_27,V_27B_27),c_27const_2erelation_2eWFREC_27__02(s__02(cfun__02(V_27A_27,cfun__02(V_27A_27,cbool__00)),V_27R_27),s__02(cfun__02(cfun__02(V_27A_27,V_27B_27),cfun__02(V_27A_27,V_27B_27)),V_27M_27)))| -p__01(s__02(cbool__00,c_27const_2erelation_2eWF_27__01(s__02(cfun__02(V_27A_27,cfun__02(V_27A_27,cbool__00)),V_27R_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_27x_27)))=s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,V_27B_27),cfun__02(V_27A_27,V_27B_27)),V_27M_27),s__02(cfun__02(V_27A_27,V_27B_27),c_27const_2erelation_2eRESTRICT_27__03(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(cfun__02(V_27A_27,cfun__02(V_27A_27,cbool__00)),V_27R_27),s__02(V_27A_27,V_27x_27))))),s__02(V_27A_27,V_27x_27))).
% 2.06/2.24  0 [] s__02(V_27A_27,c_27const_2epair_2epair__CASE_27__02(s__02(c_27type_2epair_2eprod_27__02(V_27B_27,V_27C_27),c_27const_2epair_2e_2c_27__02(s__02(V_27B_27,V_27x_27),s__02(V_27C_27,V_27y_27))),s__02(cfun__02(V_27B_27,cfun__02(V_27C_27,V_27A_27)),V_27f_27)))=s__02(V_27A_27,chapp__02(s__02(cfun__02(V_27C_27,V_27A_27),chapp__02(s__02(cfun__02(V_27B_27,cfun__02(V_27C_27,V_27A_27)),V_27f_27),s__02(V_27B_27,V_27x_27))),s__02(V_27C_27,V_27y_27))).
% 2.06/2.24  0 [] s__02(V_27A_27,c_27const_2earithmetic_2enum__CASE_27__03(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(V_27A_27,V_27v_27),s__02(cfun__02(c_27type_2enum_2enum_27__00,V_27A_27),V_27f_27)))=s__02(V_27A_27,V_27v_27).
% 2.06/2.24  0 [] s__02(V_27A_27,c_27const_2earithmetic_2enum__CASE_27__03(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(V_27A_27,X1),s__02(cfun__02(c_27type_2enum_2enum_27__00,V_27A_27),X2)))=s__02(V_27A_27,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,V_27A_27),X2),s__02(c_27type_2enum_2enum_27__00,V_27n_27))).
% 2.06/2.24  0 [] s__02(c_27type_2enum_2enum_27__00,V_27m_27)=s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)|s__02(c_27type_2enum_2enum_27__00,V_27m_27)=s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,$f2(V_27m_27)))).
% 2.06/2.24  0 [] -p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),$c4),s__02(c_27type_2enum_2enum_27__00,V_27x0_27))),s__02(c_27type_2enum_2enum_27__00,V_27y0_27))))|p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),$c3),s__02(c_27type_2enum_2enum_27__00,V_27x0_27))),s__02(c_27type_2enum_2enum_27__00,V_27y0_27)))).
% 2.06/2.24  0 [] p__01(s__02(cbool__00,c_27const_2eexh__to__patProof_2ebind_27__03(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),$c4),s__02(c_27type_2enum_2enum_27__00,$c2),s__02(c_27type_2enum_2enum_27__00,$c1)))).
% 2.06/2.24  0 [] -p__01(s__02(cbool__00,c_27const_2eexh__to__patProof_2ebind_27__03(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),$c3),s__02(c_27type_2enum_2enum_27__00,$c2),s__02(c_27type_2enum_2enum_27__00,$c1)))).
% 2.06/2.24  end_of_list.
% 2.06/2.24  
% 2.06/2.24  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 2.06/2.24  
% 2.06/2.24  This ia a non-Horn set with equality.  The strategy will be
% 2.06/2.24  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.06/2.24  deletion, with positive clauses in sos and nonpositive
% 2.06/2.24  clauses in usable.
% 2.06/2.24  
% 2.06/2.24     dependent: set(knuth_bendix).
% 2.06/2.24     dependent: set(anl_eq).
% 2.06/2.24     dependent: set(para_from).
% 2.06/2.24     dependent: set(para_into).
% 2.06/2.24     dependent: clear(para_from_right).
% 2.06/2.24     dependent: clear(para_into_right).
% 2.06/2.24     dependent: set(para_from_vars).
% 2.06/2.24     dependent: set(eq_units_both_ways).
% 2.06/2.24     dependent: set(dynamic_demod_all).
% 2.06/2.24     dependent: set(dynamic_demod).
% 2.06/2.24     dependent: set(order_eq).
% 2.06/2.24     dependent: set(back_demod).
% 2.06/2.24     dependent: set(lrpo).
% 2.06/2.24     dependent: set(hyper_res).
% 2.06/2.24     dependent: set(unit_deletion).
% 2.06/2.24     dependent: set(factor).
% 2.06/2.24  
% 2.06/2.24  ------------> process usable:
% 2.06/2.24  ** KEPT (pick-wt=4): 1 [] -p__01(s__02(cbool__00,cF__00)).
% 2.06/2.24  ** KEPT (pick-wt=42): 2 [] s__02(A,chapp__02(s__02(cfun__02(B,A),C),s__02(B,$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).
% 2.06/2.24  ** KEPT (pick-wt=29): 3 [] -p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(A,cbool__00),B),s__02(A,C))))|p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(A,cbool__00),B),s__02(A,c_27const_2emin_2e_40_27__01(s__02(cfun__02(A,cbool__00),B)))))).
% 2.06/2.24    Following clause subsumed by 1 during input processing: 0 [] -p__01(s__02(cbool__00,cF__00))|p__01(s__02(cbool__00,A))| -p__01(s__02(cbool__00,cT__00)).
% 2.06/2.24    Following clause subsumed by 1 during input processing: 0 [factor_simp] -p__01(s__02(cbool__00,cF__00)).
% 2.06/2.24  ** KEPT (pick-wt=14): 4 [] s__02(A,B)!=s__02(A,C)|s__02(A,C)=s__02(A,B).
% 2.06/2.24    Following clause subsumed by 4 during input processing: 0 [] s__02(A,B)=s__02(A,C)|s__02(A,C)!=s__02(A,B).
% 2.06/2.24  ** KEPT (pick-wt=11): 5 [] s__02(cbool__00,cT__00)!=s__02(cbool__00,A)|p__01(s__02(cbool__00,A)).
% 2.06/2.24  ** KEPT (pick-wt=11): 6 [] s__02(cbool__00,cT__00)=s__02(cbool__00,A)| -p__01(s__02(cbool__00,A)).
% 2.06/2.24  ** KEPT (pick-wt=11): 7 [] s__02(cbool__00,A)!=s__02(cbool__00,cT__00)|p__01(s__02(cbool__00,A)).
% 2.06/2.24  ** KEPT (pick-wt=11): 8 [] s__02(cbool__00,A)=s__02(cbool__00,cT__00)| -p__01(s__02(cbool__00,A)).
% 2.06/2.24  ** KEPT (pick-wt=11): 9 [] s__02(cbool__00,cF__00)!=s__02(cbool__00,A)| -p__01(s__02(cbool__00,A)).
% 2.06/2.24  ** KEPT (pick-wt=11): 10 [] s__02(cbool__00,A)!=s__02(cbool__00,cF__00)| -p__01(s__02(cbool__00,A)).
% 2.06/2.24  ** KEPT (pick-wt=15): 12 [copy,11,factor_simp] s__02(cbool__00,A)!=s__02(cbool__00,B)|p__01(s__02(cbool__00,B))| -p__01(s__02(cbool__00,A)).
% 2.06/2.24  ** KEPT (pick-wt=26): 13 [] s__02(cbool__00,A)!=s__02(cbool__00,B)|s__02(cbool__00,C)!=s__02(cbool__00,D)|p__01(s__02(cbool__00,A))| -p__01(s__02(cbool__00,B))|p__01(s__02(cbool__00,D)).
% 2.06/2.24    Following clause subsumed by 12 during input processing: 0 [] s__02(cbool__00,A)!=s__02(cbool__00,B)|s__02(cbool__00,C)!=s__02(cbool__00,D)| -p__01(s__02(cbool__00,C))| -p__01(s__02(cbool__00,B))|p__01(s__02(cbool__00,D)).
% 2.06/2.24  ** KEPT (pick-wt=26): 14 [] s__02(cbool__00,A)!=s__02(cbool__00,B)|s__02(cbool__00,C)!=s__02(cbool__00,D)| -p__01(s__02(cbool__00,A))|p__01(s__02(cbool__00,C))| -p__01(s__02(cbool__00,D)).
% 2.06/2.24  ** KEPT (pick-wt=90): 16 [copy,15,flip.3] s__02(cfun__02(A,B),C)!=s__02(cfun__02(A,B),c_27const_2erelation_2eWFREC_27__02(s__02(cfun__02(A,cfun__02(A,cbool__00)),D),s__02(cfun__02(cfun__02(A,B),cfun__02(A,B)),E)))| -p__01(s__02(cbool__00,c_27const_2erelation_2eWF_27__01(s__02(cfun__02(A,cfun__02(A,cbool__00)),D))))|s__02(B,chapp__02(s__02(cfun__02(A,B),chapp__02(s__02(cfun__02(cfun__02(A,B),cfun__02(A,B)),E),s__02(cfun__02(A,B),c_27const_2erelation_2eRESTRICT_27__03(s__02(cfun__02(A,B),C),s__02(cfun__02(A,cfun__02(A,cbool__00)),D),s__02(A,F))))),s__02(A,F)))=s__02(B,chapp__02(s__02(cfun__02(A,B),C),s__02(A,F))).
% 2.06/2.24  ** KEPT (pick-wt=44): 17 [] -p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),$c4),s__02(c_27type_2enum_2enum_27__00,A))),s__02(c_27type_2enum_2enum_27__00,B))))|p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),$c3),s__02(c_27type_2enum_2enum_27__00,A))),s__02(c_27type_2enum_2enum_27__00,B)))).
% 2.06/2.24  ** KEPT (pick-wt=17): 18 [] -p__01(s__02(cbool__00,c_27const_2eexh__to__patProof_2ebind_27__03(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),$c3),s__02(c_27type_2enum_2enum_27__00,$c2),s__02(c_27type_2enum_2enum_27__00,$c1)))).
% 2.06/2.24  
% 2.06/2.24  ------------> process sos:
% 2.06/2.24  ** KEPT (pick-wt=3): 21 [] A=A.
% 2.06/2.24  ** KEPT (pick-wt=4): 22 [] p__01(s__02(cbool__00,cT__00)).
% 2.06/2.24  ** KEPT (pick-wt=14): 23 [] s__02(cbool__00,A)=s__02(cbool__00,cT__00)|s__02(cbool__00,A)=s__02(cbool__00,cF__00).
% 2.06/2.24    Following clause subsumed by 22 during input processing: 0 [] p__01(s__02(cbool__00,cT__00)).
% 2.06/2.24    Following clause subsumed by 22 during input processing: 0 [] p__01(s__02(cbool__00,cT__00)).
% 2.06/2.24  ** KEPT (pick-wt=11): 24 [] s__02(cbool__00,cF__00)=s__02(cbool__00,A)|p__01(s__02(cbool__00,A)).
% 2.06/2.24  ** KEPT (pick-wt=11): 25 [] s__02(cbool__00,A)=s__02(cbool__00,cF__00)|p__01(s__02(cbool__00,A)).
% 2.06/2.24  ** KEPT (pick-wt=10): 26 [] s__02(A,c_27const_2ecombin_2eI_27__01(s__02(A,B)))=s__02(A,B).
% 2.06/2.24  ---> New Demodulator: 27 [new_demod,26] s__02(A,c_27const_2ecombin_2eI_27__01(s__02(A,B)))=s__02(A,B).
% 2.06/2.24  ** KEPT (pick-wt=11): 28 [] p__01(s__02(cbool__00,c_27const_2erelation_2eWF_27__01(s__02(cfun__02(A,cfun__02(A,cbool__00)),c_27const_2erelation_2eEMPTY__REL_27__00)))).
% 2.06/2.24  ** KEPT (pick-wt=43): 29 [] s__02(A,c_27const_2epair_2epair__CASE_27__02(s__02(c_27type_2epair_2eprod_27__02(B,C),c_27const_2epair_2e_2c_27__02(s__02(B,D),s__02(C,E))),s__02(cfun__02(B,cfun__02(C,A)),F)))=s__02(A,chapp__02(s__02(cfun__02(C,A),chapp__02(s__02(cfun__02(B,cfun__02(C,A)),F),s__02(B,D))),s__02(C,E))).
% 2.06/2.24  ** KEPT (pick-wt=18): 30 [] s__02(A,c_27const_2earithmetic_2enum__CASE_27__03(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(A,B),s__02(cfun__02(c_27type_2enum_2enum_27__00,A),C)))=s__02(A,B).
% 2.06/2.24  ---> New Demodulator: 31 [new_demod,30] s__02(A,c_27const_2earithmetic_2enum__CASE_27__03(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(A,B),s__02(cfun__02(c_27type_2enum_2enum_27__00,A),C)))=s__02(A,B).
% 2.06/2.24  ** KEPT (pick-wt=29): 32 [] s__02(A,c_27const_2earithmetic_2enum__CASE_27__03(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,B))),s__02(A,C),s__02(cfun__02(c_27type_2enum_2enum_27__00,A),D)))=s__02(A,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,A),D),s__02(c_27type_2enum_2enum_27__00,B))).
% 2.06/2.24  ** KEPT (pick-wt=18): 34 [copy,33,flip.2] s__02(c_27type_2enum_2enum_27__00,A)=s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)|s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,$f2(A))))=s__02(c_27type_2enum_2enum_27__00,A).
% 7.98/8.21  ** KEPT (pick-wt=17): 35 [] p__01(s__02(cbool__00,c_27const_2eexh__to__patProof_2ebind_27__03(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),$c4),s__02(c_27type_2enum_2enum_27__00,$c2),s__02(c_27type_2enum_2enum_27__00,$c1)))).
% 7.98/8.21    Following clause subsumed by 21 during input processing: 0 [copy,21,flip.1] A=A.
% 7.98/8.21  >>>> Starting back demodulation with 27.
% 7.98/8.21  ** KEPT (pick-wt=43): 36 [copy,29,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,c_27const_2epair_2epair__CASE_27__02(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))),s__02(cfun__02(C,cfun__02(B,A)),D))).
% 7.98/8.21  >>>> Starting back demodulation with 31.
% 7.98/8.21  ** KEPT (pick-wt=29): 37 [copy,32,flip.1] s__02(A,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,A),B),s__02(c_27type_2enum_2enum_27__00,C)))=s__02(A,c_27const_2earithmetic_2enum__CASE_27__03(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,C))),s__02(A,D),s__02(cfun__02(c_27type_2enum_2enum_27__00,A),B))).
% 7.98/8.21    Following clause subsumed by 29 during input processing: 0 [copy,36,flip.1] s__02(A,c_27const_2epair_2epair__CASE_27__02(s__02(c_27type_2epair_2eprod_27__02(B,C),c_27const_2epair_2e_2c_27__02(s__02(B,D),s__02(C,E))),s__02(cfun__02(B,cfun__02(C,A)),F)))=s__02(A,chapp__02(s__02(cfun__02(C,A),chapp__02(s__02(cfun__02(B,cfun__02(C,A)),F),s__02(B,D))),s__02(C,E))).
% 7.98/8.21    Following clause subsumed by 32 during input processing: 0 [copy,37,flip.1] s__02(A,c_27const_2earithmetic_2enum__CASE_27__03(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,B))),s__02(A,C),s__02(cfun__02(c_27type_2enum_2enum_27__00,A),D)))=s__02(A,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,A),D),s__02(c_27type_2enum_2enum_27__00,B))).
% 7.98/8.21  
% 7.98/8.21  ======= end of input processing =======
% 7.98/8.21  
% 7.98/8.21  =========== start of search ===========
% 7.98/8.21  
% 7.98/8.21  
% 7.98/8.21  Resetting weight limit to 18.
% 7.98/8.21  
% 7.98/8.21  
% 7.98/8.21  Resetting weight limit to 18.
% 7.98/8.21  
% 7.98/8.21  sos_size=159
% 7.98/8.21  
% 7.98/8.21  Search stopped in tp_alloc by max_mem option.
% 7.98/8.21  
% 7.98/8.21  Search stopped in tp_alloc by max_mem option.
% 7.98/8.21  
% 7.98/8.21  ============ end of search ============
% 7.98/8.21  
% 7.98/8.21  -------------- statistics -------------
% 7.98/8.21  clauses given                189
% 7.98/8.21  clauses generated         267352
% 7.98/8.21  clauses kept                 217
% 7.98/8.21  clauses forward subsumed   12469
% 7.98/8.21  clauses back subsumed         15
% 7.98/8.21  Kbytes malloced            11718
% 7.98/8.21  
% 7.98/8.21  ----------- times (seconds) -----------
% 7.98/8.21  user CPU time          5.97          (0 hr, 0 min, 5 sec)
% 7.98/8.21  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 7.98/8.21  wall-clock time        8             (0 hr, 0 min, 8 sec)
% 7.98/8.21  
% 7.98/8.21  Process 29075 finished Wed Jul 27 02:49:03 2022
% 7.98/8.21  Otter interrupted
% 7.98/8.21  PROOF NOT FOUND
%------------------------------------------------------------------------------