%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV823-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 May 31 12:44:04 EDT 2023

% Result   : Unsatisfiable 4.41s 1.08s
% Output   : CNFRefutation 4.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (  13 unt;   0 def)
%            Number of atoms       :   13 (  12 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-3 aty)
%            Number of variables   :   64 (;  64   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [T_a,V_P] : hAPP(c_Collect(T_a),V_P) = V_P,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f935,axiom,
    ! [V_n] : V_n != hAPP(c_Suc,V_n),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f940,axiom,
    ! [T_b,T_a,T_c,V_P,V_Q,V_R] : hAPP(hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_P),V_Q),V_R) = hAPP(V_P,hAPP(V_Q,V_R)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f942,axiom,
    ! [T_b,T_c,T_a,V_P,V_Q,V_R] : hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P),V_Q),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f998,plain,
    ! [X0,X1] : hAPP(c_Collect(X0),X1) = X1,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f2503,plain,
    ! [X0] : X0 != hAPP(c_Suc,X0),
    inference(cnf_transformation,[status(esa)],[f935]) ).

fof(f2508,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBB(X0,X1,X2),X3),X4),X5) = hAPP(X3,hAPP(X4,X5)),
    inference(cnf_transformation,[status(esa)],[f940]) ).

fof(f2510,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)],[f942]) ).

fof(f2594,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBB(X3,X4,X5),X6)),X7),X8) = hAPP(X6,hAPP(X8,hAPP(X7,X8))),
    inference(paramodulation,[status(thm)],[f2508,f2510]) ).

fof(f2595,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),X4),X5) = hAPP(hAPP(hAPP(c_COMBS(X6,X7,X8),X3),X4),X5),
    inference(paramodulation,[status(thm)],[f2510,f2510]) ).

fof(f2726,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(X0,hAPP(X1,X0)) != hAPP(hAPP(hAPP(c_COMBS(X2,X3,X4),hAPP(c_COMBB(X5,X6,X7),c_Suc)),X1),X0),
    inference(paramodulation,[status(thm)],[f2594,f2503]) ).

fof(f2783,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(X0,X0) != hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),hAPP(c_COMBB(X4,X5,X6),c_Suc)),c_Collect(X7)),X0),
    inference(paramodulation,[status(thm)],[f998,f2726]) ).

fof(f3682,plain,
    $false,
    inference(resolution,[status(thm)],[f2783,f2595]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem  : SWV823-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n016.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Tue May 30 12:06:29 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.15/0.38  % Drodi V3.5.1
% 4.41/1.08  % Refutation found
% 4.41/1.08  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.41/1.08  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.00/1.10  % Elapsed time: 0.794164 seconds
% 5.00/1.10  % CPU time: 5.038771 seconds
% 5.00/1.10  % Memory used: 217.039 MB
%------------------------------------------------------------------------------