TSTP Solution File: SCT089-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SCT089-1 : TPTP v8.1.2. Released v4.1.0.
% 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 20:38:17 EDT 2024

% Result   : Unsatisfiable 98.70s 12.87s
% Output   : CNFRefutation 98.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   18 (  14 unt;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   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;   1 con; 0-5 aty)
%            Number of variables   :   58 (  58   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f162,axiom,
    ! [V_nat_H] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f188,axiom,
    ! [V_m,V_n] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f195,axiom,
    ! [V_m,V_n] :
      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m
      | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f327,axiom,
    ! [V_n] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f754,axiom,
    ! [V_P,T_b,T_a,T_c,V_Q,V_R] : hAPP(hAPP(c_COMBB(V_P,T_b,T_a,T_c),V_Q),V_R) = hAPP(V_P,hAPP(V_Q,V_R)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f756,axiom,
    ! [V_P,V_Q,T_b,T_c,T_a,V_R] : hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1068,plain,
    ! [X0] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0),
    inference(cnf_transformation,[status(esa)],[f162]) ).

fof(f1106,plain,
    ! [X0,X1] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),
    inference(cnf_transformation,[status(esa)],[f188]) ).

fof(f1117,plain,
    ! [V_n] :
      ( ! [V_m] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m
      | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(miniscoping,[status(esa)],[f195]) ).

fof(f1118,plain,
    ! [X0,X1] :
      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
      | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(cnf_transformation,[status(esa)],[f1117]) ).

fof(f1335,plain,
    ! [X0] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0) = X0,
    inference(cnf_transformation,[status(esa)],[f327]) ).

fof(f2004,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(c_COMBB(X0,X1,X2,X3),X4),X5) = hAPP(X0,hAPP(X4,X5)),
    inference(cnf_transformation,[status(esa)],[f754]) ).

fof(f2006,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(c_COMBS(X0,X1,X2,X3,X4),X5) = hAPP(hAPP(X0,X5),hAPP(X1,X5)),
    inference(cnf_transformation,[status(esa)],[f756]) ).

fof(f2125,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(c_COMBS(c_COMBB(X0,X1,X2,X3),X4,X5,X6,X7),X8) = hAPP(X0,hAPP(X8,hAPP(X4,X8))),
    inference(paramodulation,[status(thm)],[f2004,f2006]) ).

fof(f3579,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] : hAPP(c_COMBS(c_COMBB(X0,X1,X2,X3),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X4,X5,X6),X7) = hAPP(X0,hAPP(X7,X7)),
    inference(paramodulation,[status(thm)],[f1335,f2125]) ).

fof(f4427,plain,
    ! [X0,X1] :
      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X1
      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(paramodulation,[status(thm)],[f1106,f1118]) ).

fof(f9053,plain,
    ! [X0] : X0 = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(resolution,[status(thm)],[f3579,f4427]) ).

fof(f9054,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f1068,f9053]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SCT089-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 20:15:10 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.42  % Drodi V3.6.0
% 98.70/12.87  % Refutation found
% 98.70/12.87  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 98.70/12.87  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 98.95/13.07  % Elapsed time: 12.699278 seconds
% 98.95/13.07  % CPU time: 98.304751 seconds
% 98.95/13.07  % Total memory used: 1.263 GB
% 98.95/13.07  % Net memory used: 1.256 GB
%------------------------------------------------------------------------------