%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SCT168+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 12:33:19 EDT 2023

% Result   : Theorem 0.16s 0.49s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  15 unt;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-5 aty)
%            Number of variables   :   67 (;  67   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f384,axiom,
    ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f525,axiom,
    ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f527,axiom,
    ! [V_R_2,V_Q_2,V_Pa_2,T_c,T_a,T_b] : hAPP(hAPP(c_COMBB(T_b,T_a,T_c,V_Pa_2),V_Q_2),V_R_2) = hAPP(V_Pa_2,hAPP(V_Q_2,V_R_2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f529,axiom,
    ! [V_R_2,V_Q_2,V_Pa_2,T_a,T_c,T_b] : hAPP(c_COMBS(T_b,T_c,T_a,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/sandbox/benchmark/theBenchmark.p') ).

fof(f1797,plain,
    ! [X0] : X0 != hAPP(c_Nat_OSuc,X0),
    inference(cnf_transformation,[status(esa)],[f384]) ).

fof(f2171,plain,
    ! [X0,X1] : hAPP(c_COMBI(X0),X1) = X1,
    inference(cnf_transformation,[status(esa)],[f525]) ).

fof(f2173,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(c_COMBB(X0,X1,X2,X3),X4),X5) = hAPP(X3,hAPP(X4,X5)),
    inference(cnf_transformation,[status(esa)],[f527]) ).

fof(f2175,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(c_COMBS(X0,X1,X2,X3,X4),X5) = hAPP(hAPP(X3,X5),hAPP(X4,X5)),
    inference(cnf_transformation,[status(esa)],[f529]) ).

fof(f2444,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(c_COMBS(X0,X1,X2,c_COMBB(X3,X4,X5,X6),X7),X8) = hAPP(X6,hAPP(X8,hAPP(X7,X8))),
    inference(paramodulation,[status(thm)],[f2173,f2175]) ).

fof(f2645,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(X0,hAPP(X1,X0)) != hAPP(c_COMBS(X2,X3,X4,c_COMBB(X5,X6,X7,c_Nat_OSuc),X1),X0),
    inference(paramodulation,[status(thm)],[f2444,f1797]) ).

fof(f2909,plain,
    ! [X0,X1,X2,X3,X4] : hAPP(X0,hAPP(X1,X0)) != hAPP(hAPP(c_COMBB(X2,X3,X4,c_Nat_OSuc),X0),hAPP(X1,X0)),
    inference(paramodulation,[status(thm)],[f2175,f2645]) ).

fof(f3222,plain,
    ! [X0,X1,X2,X3,X4] : hAPP(X0,hAPP(c_COMBI(X1),X0)) != hAPP(hAPP(c_COMBB(X2,X3,X4,c_Nat_OSuc),X0),X0),
    inference(paramodulation,[status(thm)],[f2171,f2909]) ).

fof(f3223,plain,
    ! [X0,X1,X2,X3] : hAPP(X0,X0) != hAPP(hAPP(c_COMBB(X1,X2,X3,c_Nat_OSuc),X0),X0),
    inference(forward_demodulation,[status(thm)],[f2171,f3222]) ).

fof(f3226,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(c_COMBS(X0,X1,X2,X3,c_COMBI(X4)),X5) = hAPP(hAPP(X3,X5),X5),
    inference(paramodulation,[status(thm)],[f2171,f2175]) ).

fof(f3501,plain,
    $false,
    inference(resolution,[status(thm)],[f3226,f3223]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SCT168+1 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32  % Computer : n017.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 09:02:55 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.10/0.38  % Drodi V3.5.1
% 0.16/0.49  % Refutation found
% 0.16/0.49  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.49  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.78/0.53  % Elapsed time: 0.195609 seconds
% 0.78/0.53  % CPU time: 0.564722 seconds
% 0.78/0.53  % Memory used: 124.404 MB
%------------------------------------------------------------------------------