%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL805-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 : Tue Apr 30 20:28:10 EDT 2024

% Result   : Unsatisfiable 0.19s 0.40s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   9 unt;   0 def)
%            Number of atoms       :    9 (   2 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-5 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f835,axiom,
    ! [V_A,T_a] : c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f837,axiom,
    ! [V_f,T_b,T_a] : c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) = c_List_Olist_ONil(T_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f841,negated_conjecture,
    ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2170,plain,
    ! [X0,X1] : c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1),
    inference(cnf_transformation,[status(esa)],[f835]) ).

fof(f2172,plain,
    ! [X0,X1,X2] : c_List_Omap(X0,c_List_Olist_ONil(X1),X1,X2) = c_List_Olist_ONil(X2),
    inference(cnf_transformation,[status(esa)],[f837]) ).

fof(f2176,plain,
    ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
    inference(cnf_transformation,[status(esa)],[f841]) ).

fof(f2262,plain,
    ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
    inference(backward_demodulation,[status(thm)],[f2172,f2176]) ).

fof(f2263,plain,
    ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
    inference(forward_demodulation,[status(thm)],[f2172,f2262]) ).

fof(f2264,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f2263,f2170]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL805-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n008.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 : Mon Apr 29 20:29:27 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.19/0.39  % Drodi V3.6.0
% 0.19/0.40  % Refutation found
% 0.19/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.42  % Elapsed time: 0.073747 seconds
% 0.19/0.42  % CPU time: 0.095162 seconds
% 0.19/0.42  % Total memory used: 22.309 MB
% 0.19/0.42  % Net memory used: 22.228 MB
%------------------------------------------------------------------------------