%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL762-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 20:28:03 EDT 2024

% Result   : Unsatisfiable 0.13s 0.38s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   2 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-5 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f396,axiom,
    ! [V_f,V_a,T_b,T_a] : c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f401,negated_conjecture,
    hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f402,negated_conjecture,
    ~ hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1016,plain,
    ! [X0,X1,X2,X3] : c_List_Ofoldl(X0,X1,c_List_Olist_ONil(X2),X3,X2) = X1,
    inference(cnf_transformation,[status(esa)],[f396]) ).

fof(f1023,plain,
    hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
    inference(cnf_transformation,[status(esa)],[f401]) ).

fof(f1024,plain,
    ~ hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n))),
    inference(cnf_transformation,[status(esa)],[f402]) ).

fof(f1048,plain,
    hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n))),
    inference(backward_demodulation,[status(thm)],[f1016,f1023]) ).

fof(f1049,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1048,f1024]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : LCL762-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 19:45:03 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.38  % Drodi V3.6.0
% 0.13/0.38  % Refutation found
% 0.13/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.40  % Elapsed time: 0.049574 seconds
% 0.20/0.40  % CPU time: 0.067341 seconds
% 0.20/0.40  % Total memory used: 17.298 MB
% 0.20/0.40  % Net memory used: 17.264 MB
%------------------------------------------------------------------------------