%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SCT167+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n024.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 : Tue Apr 30 20:38:24 EDT 2024

% Result   : Theorem 0.20s 0.57s
% Output   : CNFRefutation 0.20s
% 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    :    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   :   64 (  64   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f369,axiom,
    ! [V_n] : hAPP(c_Nat_OSuc,V_n) != 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(f1757,plain,
    ! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
    inference(cnf_transformation,[status(esa)],[f369]) ).

fof(f2182,plain,
    ! [X0,X1] : hAPP(c_COMBI(X0),X1) = X1,
    inference(cnf_transformation,[status(esa)],[f525]) ).

fof(f2184,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(f2186,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(f2542,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)],[f2184,f2186]) ).

fof(f2543,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(c_COMBS(X0,X1,X2,X3,X4),X5) = hAPP(c_COMBS(X6,X7,X8,X3,X4),X5),
    inference(paramodulation,[status(thm)],[f2186,f2186]) ).

fof(f2843,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(c_COMBS(X0,X1,X2,c_COMBB(X3,X4,X5,c_Nat_OSuc),X6),X7) != hAPP(X7,hAPP(X6,X7)),
    inference(paramodulation,[status(thm)],[f2542,f1757]) ).

fof(f3124,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(c_COMBS(X0,X1,X2,c_COMBB(X3,X4,X5,c_Nat_OSuc),c_COMBI(X6)),X7) != hAPP(X7,X7),
    inference(paramodulation,[status(thm)],[f2182,f2843]) ).

fof(f3819,plain,
    $false,
    inference(resolution,[status(thm)],[f3124,f2543]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SCT167+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n024.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 : Mon Apr 29 20:09:21 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.41  % Drodi V3.6.0
% 0.20/0.57  % Refutation found
% 0.20/0.57  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.57  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.60  % Elapsed time: 0.255142 seconds
% 0.20/0.60  % CPU time: 1.350568 seconds
% 0.20/0.60  % Total memory used: 151.229 MB
% 0.20/0.60  % Net memory used: 150.510 MB
%------------------------------------------------------------------------------