%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWW361+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n001.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 12:44:48 EDT 2023

% Result   : Theorem 105.15s 14.11s
% Output   : CNFRefutation 105.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   9 unt;   0 def)
%            Number of atoms       :    9 (   8 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    :    5 (   5 usr;   1 con; 0-3 aty)
%            Number of variables   :   31 (;  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f954,axiom,
    ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3719,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(f5208,axiom,
    ! [V_R_2,V_Q_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_Q_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),hAPP(V_Q_2,V_R_2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8470,plain,
    ! [X0] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X0) = X0,
    inference(cnf_transformation,[status(esa)],[f954]) ).

fof(f16298,plain,
    ! [X0,X1,X2] : hAPP(hAPP(c_List_Olist_OCons(X0),X1),X2) != X2,
    inference(cnf_transformation,[status(esa)],[f3719]) ).

fof(f20121,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)],[f5208]) ).

fof(f49811,plain,
    ! [X0,X1,X2,X3,X4] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),c_Int_Onumber__class_Onumber__of(tc_Int_Oint)),X4) = hAPP(hAPP(X3,X4),X4),
    inference(paramodulation,[status(thm)],[f8470,f20121]) ).

fof(f50120,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)],[f20121,f16298]) ).

fof(f53956,plain,
    $false,
    inference(resolution,[status(thm)],[f49811,f50120]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : SWW361+1 : TPTP v8.1.2. Released v5.2.0.
% 0.05/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n001.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 11:24:15 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.68/0.85  % Drodi V3.5.1
% 105.15/14.11  % Refutation found
% 105.15/14.11  % SZS status Theorem for theBenchmark: Theorem is valid
% 105.15/14.11  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 107.20/15.02  % Elapsed time: 14.697298 seconds
% 107.20/15.02  % CPU time: 106.008195 seconds
% 107.20/15.02  % Memory used: 1.352 GB
%------------------------------------------------------------------------------