TSTP Solution File: SWW252+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWW252+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 20:49:55 EDT 2024

% Result   : Theorem 231.03s 29.54s
% Output   : CNFRefutation 231.03s
% 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 :   10 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-4 aty)
%            Number of variables   :   45 (  45   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,axiom,
    ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f599,axiom,
    ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_z) = V_z,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1250,axiom,
    ! [V_R_2,V_Q_2,V_P_2,T_c,T_a,T_b] : hAPP(hAPP(c_COMBB(T_b,T_a,T_c,V_P_2),V_Q_2),V_R_2) = hAPP(V_P_2,hAPP(V_Q_2,V_R_2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1252,axiom,
    ! [V_R_2,V_Q_2,V_P_2,T_a,T_c,T_b] : hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),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/sandbox2/benchmark/theBenchmark.p') ).

fof(f1324,plain,
    ! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
    inference(cnf_transformation,[status(esa)],[f26]) ).

fof(f3219,plain,
    ! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0) = X0,
    inference(cnf_transformation,[status(esa)],[f599]) ).

fof(f4731,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(c_COMBB(X0,X1,X2,X3),X4),X5) = hAPP(X3,hAPP(X4,X5)),
    inference(cnf_transformation,[status(esa)],[f1250]) ).

fof(f4733,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)],[f1252]) ).

fof(f5145,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBB(X3,X4,X5,X6)),X7),X8) = hAPP(X6,hAPP(X8,hAPP(X7,X8))),
    inference(paramodulation,[status(thm)],[f4731,f4733]) ).

fof(f12583,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBB(X3,X4,X5,X6)),hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X7) = hAPP(X6,hAPP(X7,X7)),
    inference(paramodulation,[status(thm)],[f3219,f5145]) ).

fof(f30793,plain,
    $false,
    inference(resolution,[status(thm)],[f12583,f1324]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW252+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 : 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 : Mon Apr 29 23:04:56 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  % Drodi V3.6.0
% 231.03/29.54  % Refutation found
% 231.03/29.54  % SZS status Theorem for theBenchmark: Theorem is valid
% 231.03/29.54  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 231.25/29.63  % Elapsed time: 29.262799 seconds
% 231.25/29.63  % CPU time: 230.759620 seconds
% 231.25/29.63  % Total memory used: 1.331 GB
% 231.25/29.63  % Net memory used: 1.296 GB
%------------------------------------------------------------------------------