%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWW379+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n009.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 12:44:50 EDT 2023

% Result   : Theorem 21.40s 3.57s
% Output   : CNFRefutation 21.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (  10 unt;   0 def)
%            Number of atoms       :   10 (   9 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    :    4 (   4 usr;   0 con; 1-3 aty)
%            Number of variables   :   40 (;  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1876,axiom,
    ! [V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),V_P_2) = V_P_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3867,axiom,
    ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5222,axiom,
    ! [V_R_2,V_Q_2,V_P_2,T_a,T_c,T_b] : hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),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(f10970,plain,
    ! [X0,X1] : hAPP(c_Set_OCollect(X0),X1) = X1,
    inference(cnf_transformation,[status(esa)],[f1876]) ).

fof(f16733,plain,
    ! [X0,X1,X2] : hAPP(hAPP(c_List_Olist_OCons(X0),X1),X2) != X2,
    inference(cnf_transformation,[status(esa)],[f3867]) ).

fof(f19955,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)],[f5222]) ).

fof(f22034,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),c_Set_OCollect(X4)),X5) = hAPP(hAPP(X3,X5),X5),
    inference(paramodulation,[status(thm)],[f10970,f19955]) ).

fof(f22232,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_Set_OCollect(X3)),c_Set_OCollect(X4)),X5) = hAPP(X5,X5),
    inference(paramodulation,[status(thm)],[f10970,f22034]) ).

fof(f22689,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_List_Olist_OCons(X3)),X4),X5) != hAPP(X4,X5),
    inference(paramodulation,[status(thm)],[f19955,f16733]) ).

fof(f23133,plain,
    $false,
    inference(resolution,[status(thm)],[f22689,f22232]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : SWW379+1 : TPTP v8.1.2. Released v5.2.0.
% 0.09/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32  % Computer : n009.cluster.edu
% 0.09/0.32  % Model    : x86_64 x86_64
% 0.09/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32  % Memory   : 8042.1875MB
% 0.09/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32  % CPULimit : 300
% 0.09/0.32  % WCLimit  : 300
% 0.09/0.32  % DateTime : Tue May 30 10:53:16 EDT 2023
% 0.09/0.32  % CPUTime  : 
% 0.68/0.87  % Drodi V3.5.1
% 21.40/3.57  % Refutation found
% 21.40/3.57  % SZS status Theorem for theBenchmark: Theorem is valid
% 21.40/3.57  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 21.99/3.66  % Elapsed time: 3.319606 seconds
% 21.99/3.66  % CPU time: 21.612069 seconds
% 21.99/3.66  % Memory used: 722.632 MB
%------------------------------------------------------------------------------