%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWW321+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 12:44:42 EDT 2023

% Result   : Theorem 27.73s 4.47s
% Output   : CNFRefutation 27.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            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 :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    6 (   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   :   46 (;  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3766,axiom,
    ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5208,axiom,
    ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5212,axiom,
    ! [V_R_2,V_Qa_2,V_Pa_2,T_c,T_e,T_d] : hAPP(hAPP(hAPP(c_COMBS(T_d,T_e,T_c),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(f16390,plain,
    ! [X0,X1,X2] : X0 != hAPP(hAPP(c_List_Olist_OCons(X1),X2),X0),
    inference(cnf_transformation,[status(esa)],[f3766]) ).

fof(f20038,plain,
    ! [X0,X1] : hAPP(c_COMBI(X0),X1) = X1,
    inference(cnf_transformation,[status(esa)],[f5208]) ).

fof(f20042,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)],[f5212]) ).

fof(f23682,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)],[f20042,f16390]) ).

fof(f23783,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(X0,hAPP(X1,X0)) != hAPP(hAPP(hAPP(c_COMBS(X2,X3,X4),hAPP(c_COMBS(X5,X6,X7),c_List_Olist_OCons(X8))),X1),X0),
    inference(paramodulation,[status(thm)],[f20042,f23682]) ).

fof(f23803,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(X0,X0) != hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),hAPP(c_COMBS(X4,X5,X6),c_List_Olist_OCons(X7))),c_COMBI(X8)),X0),
    inference(paramodulation,[status(thm)],[f20038,f23783]) ).

fof(f23820,plain,
    $false,
    inference(equality_resolution,[status(esa)],[f23803]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWW321+1 : TPTP v8.1.2. Released v5.2.0.
% 0.04/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n009.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 10:50:01 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.79/0.97  % Drodi V3.5.1
% 27.73/4.47  % Refutation found
% 27.73/4.47  % SZS status Theorem for theBenchmark: Theorem is valid
% 27.73/4.47  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 27.73/4.53  % Elapsed time: 4.172138 seconds
% 27.73/4.53  % CPU time: 27.426805 seconds
% 27.73/4.53  % Memory used: 728.178 MB
%------------------------------------------------------------------------------