%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWW330+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 20:50:03 EDT 2024

% Result   : Theorem 20.61s 3.41s
% Output   : CNFRefutation 20.61s
% 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    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :   61 (  61   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f58,axiom,
    ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2513,axiom,
    ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5206,axiom,
    ! [V_R_2,V_Qa_2,V_Pa_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_Pa_2),V_Qa_2),V_R_2) = hAPP(V_Pa_2,hAPP(V_Qa_2,V_R_2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5208,axiom,
    ! [V_R_2,V_Qa_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),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/sandbox/benchmark/theBenchmark.p') ).

fof(f5393,plain,
    ! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
    inference(cnf_transformation,[status(esa)],[f58]) ).

fof(f13140,plain,
    ! [X0] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X0) = X0,
    inference(cnf_transformation,[status(esa)],[f2513]) ).

fof(f20008,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(f20010,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(f20833,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)],[f20008,f20010]) ).

fof(f20835,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)],[f20010,f20010]) ).

fof(f22061,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBB(X3,X4,X5),c_Nat_OSuc)),X6),X7) != hAPP(X7,hAPP(X6,X7)),
    inference(paramodulation,[status(thm)],[f20833,f5393]) ).

fof(f23297,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBB(X3,X4,X5),c_Nat_OSuc)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint)),X6) != hAPP(X6,X6),
    inference(paramodulation,[status(thm)],[f13140,f22061]) ).

fof(f23324,plain,
    $false,
    inference(resolution,[status(thm)],[f23297,f20835]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW330+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 : n029.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 : Mon Apr 29 23:28:49 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.67/0.85  % Drodi V3.6.0
% 20.61/3.41  % Refutation found
% 20.61/3.41  % SZS status Theorem for theBenchmark: Theorem is valid
% 20.61/3.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 21.02/3.47  % Elapsed time: 3.098384 seconds
% 21.02/3.47  % CPU time: 20.402854 seconds
% 21.02/3.47  % Total memory used: 836.704 MB
% 21.02/3.47  % Net memory used: 834.831 MB
%------------------------------------------------------------------------------