%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWW316+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 20:50:02 EDT 2024

% Result   : Theorem 26.74s 4.23s
% Output   : CNFRefutation 26.74s
% 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    :    6 (   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   :   64 (  64   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f205,axiom,
    ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1546,axiom,
    ! [V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),V_P_2) = V_P_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5206,axiom,
    ! [V_R_2,V_Q_2,V_P_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_P_2),V_Q_2),V_R_2) = hAPP(V_P_2,hAPP(V_Q_2,V_R_2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5208,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(f5850,plain,
    ! [X0] : X0 != hAPP(c_Nat_OSuc,X0),
    inference(cnf_transformation,[status(esa)],[f205]) ).

fof(f10050,plain,
    ! [X0,X1] : hAPP(c_Set_OCollect(X0),X1) = X1,
    inference(cnf_transformation,[status(esa)],[f1546]) ).

fof(f20012,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBB(X0,X1,X2),X3),X4),X5) = hAPP(X3,hAPP(X4,X5)),
    inference(cnf_transformation,[status(esa)],[f5206]) ).

fof(f20014,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)],[f5208]) ).

fof(f20835,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBB(X3,X4,X5),X6)),X7),X8) = hAPP(X6,hAPP(X8,hAPP(X7,X8))),
    inference(paramodulation,[status(thm)],[f20012,f20014]) ).

fof(f20836,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),X4),X5) = hAPP(hAPP(hAPP(c_COMBS(X6,X7,X8),X3),X4),X5),
    inference(paramodulation,[status(thm)],[f20014,f20014]) ).

fof(f24072,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(X0,hAPP(X1,X0)) != hAPP(hAPP(hAPP(c_COMBS(X2,X3,X4),hAPP(c_COMBB(X5,X6,X7),c_Nat_OSuc)),X1),X0),
    inference(paramodulation,[status(thm)],[f20835,f5850]) ).

fof(f26236,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(X0,X0) != hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),hAPP(c_COMBB(X4,X5,X6),c_Nat_OSuc)),c_Set_OCollect(X7)),X0),
    inference(paramodulation,[status(thm)],[f10050,f24072]) ).

fof(f26314,plain,
    $false,
    inference(resolution,[status(thm)],[f26236,f20836]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWW316+1 : TPTP v8.1.2. Released v5.2.0.
% 0.15/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35  % Computer : n021.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Mon Apr 29 23:15:10 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.69/0.86  % Drodi V3.6.0
% 26.74/4.23  % Refutation found
% 26.74/4.23  % SZS status Theorem for theBenchmark: Theorem is valid
% 26.74/4.23  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 27.41/4.28  % Elapsed time: 3.910411 seconds
% 27.41/4.28  % CPU time: 26.828521 seconds
% 27.41/4.28  % Total memory used: 851.666 MB
% 27.41/4.28  % Net memory used: 849.645 MB
%------------------------------------------------------------------------------