%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SCT139+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 : Tue Apr 30 20:38:21 EDT 2024

% Result   : Theorem 13.50s 2.08s
% Output   : CNFRefutation 13.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   8   ~;   3   |;   0   &)
%                                         (   0 <=>;   1  =>;   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    :    5 (   5 usr;   0 con; 1-3 aty)
%            Number of variables   :   56 (  56   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35,axiom,
    ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f100,axiom,
    ! [T_a,V_ys,V_xs] :
      ( V_xs = V_ys
     => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f515,axiom,
    ! [V_R_2,V_Q_2,V_Pa_2,T_a,T_c,T_b] : hAPP(hAPP(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/sandbox2/benchmark/theBenchmark.p') ).

fof(f658,plain,
    ! [X0,X1,X2] : hAPP(hAPP(c_List_Olist_OCons(X0),X1),X2) != X2,
    inference(cnf_transformation,[status(esa)],[f35]) ).

fof(f887,plain,
    ! [T_a,V_ys,V_xs] :
      ( V_xs != V_ys
      | V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ),
    inference(pre_NNF_transformation,[status(esa)],[f100]) ).

fof(f888,plain,
    ! [V_ys,V_xs] :
      ( V_xs != V_ys
      | ! [T_a] : V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ),
    inference(miniscoping,[status(esa)],[f887]) ).

fof(f889,plain,
    ! [X0,X1,X2] :
      ( X0 != X1
      | X0 = hAPP(hAPP(c_List_Oappend(X2),c_List_Olist_ONil(X2)),X1) ),
    inference(cnf_transformation,[status(esa)],[f888]) ).

fof(f2164,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)],[f515]) ).

fof(f2252,plain,
    ! [X0,X1] : X0 = hAPP(hAPP(c_List_Oappend(X1),c_List_Olist_ONil(X1)),X0),
    inference(destructive_equality_resolution,[status(esa)],[f889]) ).

fof(f2615,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)],[f2164,f658]) ).

fof(f2628,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBS(X3,X4,X5),c_List_Olist_OCons(X6))),X7),X8) != hAPP(X8,hAPP(X7,X8)),
    inference(paramodulation,[status(thm)],[f2164,f2615]) ).

fof(f2699,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBS(X3,X4,X5),c_List_Olist_OCons(X6))),hAPP(c_List_Oappend(X7),c_List_Olist_ONil(X7))),X8) != hAPP(X8,X8),
    inference(paramodulation,[status(thm)],[f2252,f2628]) ).

fof(f4004,plain,
    $false,
    inference(equality_resolution,[status(esa)],[f2699]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem  : SCT139+1 : TPTP v8.1.2. Released v5.2.0.
% 0.05/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30  % Computer : n009.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Mon Apr 29 20:06:41 EDT 2024
% 0.10/0.30  % CPUTime  : 
% 0.15/0.36  % Drodi V3.6.0
% 13.50/2.08  % Refutation found
% 13.50/2.08  % SZS status Theorem for theBenchmark: Theorem is valid
% 13.50/2.08  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 13.71/2.15  % Elapsed time: 1.827075 seconds
% 13.71/2.15  % CPU time: 13.707129 seconds
% 13.71/2.15  % Total memory used: 338.685 MB
% 13.71/2.15  % Net memory used: 325.640 MB
%------------------------------------------------------------------------------