TSTP Solution File: LCL858-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LCL858-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : Wed May 31 12:20:44 EDT 2023

% Result   : Unsatisfiable 0.15s 0.43s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :    2 (;   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f158,axiom,
    ! [V_t] :
      ( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),V_t))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f189,axiom,
    hBOOL(hAPP(c_InductTermi_OIT,v_t)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f190,negated_conjecture,
    ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f456,plain,
    ! [X0] :
      ( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X0))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
    inference(cnf_transformation,[status(esa)],[f158]) ).

fof(f506,plain,
    hBOOL(hAPP(c_InductTermi_OIT,v_t)),
    inference(cnf_transformation,[status(esa)],[f189]) ).

fof(f507,plain,
    ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)),
    inference(cnf_transformation,[status(esa)],[f190]) ).

fof(f768,plain,
    hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)),
    inference(resolution,[status(thm)],[f456,f506]) ).

fof(f769,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f768,f507]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : LCL858-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n009.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Tue May 30 09:41:31 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.15/0.32  % Drodi V3.5.1
% 0.15/0.43  % Refutation found
% 0.15/0.43  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.43  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.45  % Elapsed time: 0.138415 seconds
% 0.15/0.45  % CPU time: 0.639589 seconds
% 0.15/0.45  % Memory used: 52.750 MB
%------------------------------------------------------------------------------