%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWW363+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 215.70s 28.03s
% Output   : CNFRefutation 215.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   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; 0-4 aty)
%            Number of variables   :   45 (;  45   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f23,axiom,
    ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f745,axiom,
    ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5204,axiom,
    ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P,
    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(f5290,plain,
    ! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f7621,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(c_Fun_Ocomp(X0,X1,X2,X3),X4),X5) = hAPP(X3,hAPP(X4,X5)),
    inference(cnf_transformation,[status(esa)],[f745]) ).

fof(f20116,plain,
    ! [X0,X1] : hAPP(c_COMBI(X0),X1) = X1,
    inference(cnf_transformation,[status(esa)],[f5204]) ).

fof(f20120,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(f25213,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)],[f20116,f20120]) ).

fof(f28845,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_Fun_Ocomp(X3,X4,X5,X6)),c_COMBI(X7)),X8) = hAPP(X6,hAPP(X8,X8)),
    inference(paramodulation,[status(thm)],[f7621,f25213]) ).

fof(f123831,plain,
    $false,
    inference(resolution,[status(thm)],[f28845,f5290]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem  : SWW363+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n019.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 : Tue May 30 10:57:41 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.60/0.82  % Drodi V3.5.1
% 215.70/28.03  % Refutation found
% 215.70/28.03  % SZS status Theorem for theBenchmark: Theorem is valid
% 215.70/28.03  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 217.15/28.32  % Elapsed time: 27.951620 seconds
% 217.15/28.32  % CPU time: 216.205582 seconds
% 217.15/28.32  % Memory used: 1.878 GB
%------------------------------------------------------------------------------