%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWW351+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.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 12:44:46 EDT 2023

% Result   : Timeout 292.36s 37.73s
% Output   : None 
% 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(f832,axiom,
    ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3501,axiom,
    ! [V_x_2,V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,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(f5207,axiom,
    ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5211,axiom,
    ! [V_R_2,V_Qa_2,V_Pa_2,T_a,T_c,T_b] : hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),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(f7751,plain,
    ! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
    inference(cnf_transformation,[status(esa)],[f832]) ).

fof(f15736,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)],[f3501]) ).

fof(f20036,plain,
    ! [X0,X1] : hAPP(c_COMBI(X0),X1) = X1,
    inference(cnf_transformation,[status(esa)],[f5207]) ).

fof(f20040,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)],[f5211]) ).

fof(f22819,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)],[f20036,f20040]) ).

fof(f29067,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)],[f15736,f22819]) ).

fof(f112921,plain,
    $false,
    inference(resolution,[status(thm)],[f29067,f7751]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : SWW351+1 : TPTP v8.1.2. Released v5.2.0.
% 0.05/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32  % Computer : n005.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Tue May 30 10:52:36 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.68/0.88  % Drodi V3.5.1
% 292.36/37.73  % Refutation found
% 292.36/37.73  % SZS status Theorem for theBenchmark: Theorem is valid
% 292.36/37.73  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 294.47/38.81  % Elapsed time: 38.266444 seconds
% 294.47/38.81  % CPU time: 283.780484 seconds
% 294.47/38.81  % Memory used: 1.641 GB
%------------------------------------------------------------------------------