%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWW343+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.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 12:44:45 EDT 2023

% Result   : Theorem 33.05s 4.95s
% Output   : CNFRefutation 33.05s
% 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(f237,axiom,
    ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4367,axiom,
    ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5189,axiom,
    ! [V_R_2,V_Q_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5820,plain,
    ! [X0] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),X0) = X0,
    inference(cnf_transformation,[status(esa)],[f237]) ).

fof(f18007,plain,
    ! [X0,X1,X2] : X0 != hAPP(hAPP(c_List_Olist_OCons(X1),X2),X0),
    inference(cnf_transformation,[status(esa)],[f4367]) ).

fof(f19800,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)],[f5189]) ).

fof(f34845,plain,
    ! [X0,X1,X2,X3,X4] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),c_Nat_Osize__class_Osize(tc_Nat_Onat)),X4) = hAPP(hAPP(X3,X4),X4),
    inference(paramodulation,[status(thm)],[f5820,f19800]) ).

fof(f35006,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(X0,X1) != hAPP(hAPP(hAPP(c_COMBS(X2,X3,X4),c_List_Olist_OCons(X5)),X0),X1),
    inference(paramodulation,[status(thm)],[f19800,f18007]) ).

fof(f36732,plain,
    $false,
    inference(resolution,[status(thm)],[f34845,f35006]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW343+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n007.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 10:42:47 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.61/0.80  % Drodi V3.5.1
% 33.05/4.95  % Refutation found
% 33.05/4.95  % SZS status Theorem for theBenchmark: Theorem is valid
% 33.05/4.95  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 33.47/5.02  % Elapsed time: 4.663295 seconds
% 33.47/5.02  % CPU time: 33.101573 seconds
% 33.47/5.02  % Memory used: 998.484 MB
%------------------------------------------------------------------------------