TSTP Solution File: SWV684-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV684-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 12:43:49 EDT 2023

% Result   : Unsatisfiable 2.49s 0.81s
% Output   : CNFRefutation 2.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Maximal term depth    :    7 (   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   :   59 (;  59   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f317,axiom,
    ! [V_n] : V_n != hAPP(c_Suc,V_n),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f506,axiom,
    ! [T_b,T_a,T_c,V_P,V_Q,V_R] : hAPP(hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_P),V_Q),V_R) = hAPP(V_P,hAPP(V_Q,V_R)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f507,axiom,
    ! [T_b,T_c,T_a,V_P,V_Q,V_R] : hAPP(hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_P),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f508,axiom,
    ! [T_b,T_c,T_a,V_P,V_Q,V_R] : hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P),V_Q),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1129,plain,
    ! [X0] : X0 != hAPP(c_Suc,X0),
    inference(cnf_transformation,[status(esa)],[f317]) ).

fof(f1444,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)],[f506]) ).

fof(f1445,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBC(X0,X1,X2),X3),X4),X5) = hAPP(hAPP(X3,X5),X4),
    inference(cnf_transformation,[status(esa)],[f507]) ).

fof(f1446,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)],[f508]) ).

fof(f1543,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBC(X3,X4,X5),X6)),X7),X8) = hAPP(hAPP(X6,hAPP(X7,X8)),X8),
    inference(paramodulation,[status(thm)],[f1445,f1446]) ).

fof(f1590,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBC(X3,X4,X5),hAPP(c_COMBB(X6,X7,X8),X9))),X10),X11) = hAPP(X9,hAPP(hAPP(X10,X11),X11)),
    inference(paramodulation,[status(thm)],[f1444,f1543]) ).

fof(f4572,plain,
    $false,
    inference(resolution,[status(thm)],[f1590,f1129]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV684-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n022.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 11:43:27 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.43  % Drodi V3.5.1
% 2.49/0.81  % Refutation found
% 2.49/0.81  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.49/0.81  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.49/0.84  % Elapsed time: 0.487412 seconds
% 2.49/0.84  % CPU time: 2.553597 seconds
% 2.49/0.84  % Memory used: 125.468 MB
%------------------------------------------------------------------------------