%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWW396+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.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 20:50:11 EDT 2024

% Result   : Theorem 19.53s 3.27s
% Output   : CNFRefutation 19.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-3 aty)
%            Number of variables   :   41 (  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2049,axiom,
    ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3983,axiom,
    ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5203,axiom,
    ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5207,axiom,
    ! [V_R_2,V_Qa_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_Pa_2),V_Qa_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),hAPP(V_Qa_2,V_R_2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11304,plain,
    ! [X0] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),X0) = X0,
    inference(cnf_transformation,[status(esa)],[f2049]) ).

fof(f17078,plain,
    ! [X0,X1,X2] : hAPP(hAPP(c_List_Olist_OCons(X0),X1),X2) != X2,
    inference(cnf_transformation,[status(esa)],[f3983]) ).

fof(f19978,plain,
    ! [X0,X1] : hAPP(c_COMBI(X0),X1) = X1,
    inference(cnf_transformation,[status(esa)],[f5203]) ).

fof(f19982,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),X4),X5) = hAPP(hAPP(X3,X5),hAPP(X4,X5)),
    inference(cnf_transformation,[status(esa)],[f5207]) ).

fof(f21104,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),c_COMBI(X4)),X5) = hAPP(hAPP(X3,X5),X5),
    inference(paramodulation,[status(thm)],[f19978,f19982]) ).

fof(f22286,plain,
    ! [X0,X1,X2,X3,X4] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_Nat_Osize__class_Osize(tc_Nat_Onat)),c_COMBI(X3)),X4) = hAPP(X4,X4),
    inference(paramodulation,[status(thm)],[f11304,f21104]) ).

fof(f24785,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_List_Olist_OCons(X3)),X4),X5) != hAPP(X4,X5),
    inference(paramodulation,[status(thm)],[f19982,f17078]) ).

fof(f25274,plain,
    $false,
    inference(resolution,[status(thm)],[f24785,f22286]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW396+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 23:35:17 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.56/0.79  % Drodi V3.6.0
% 19.53/3.27  % Refutation found
% 19.53/3.27  % SZS status Theorem for theBenchmark: Theorem is valid
% 19.53/3.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 20.22/3.34  % Elapsed time: 2.978919 seconds
% 20.22/3.34  % CPU time: 19.953523 seconds
% 20.22/3.34  % Total memory used: 927.401 MB
% 20.22/3.34  % Net memory used: 924.223 MB
%------------------------------------------------------------------------------