TSTP Solution File: SWV388+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV388+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 12:41:33 EDT 2023

% Result   : Theorem 0.16s 0.55s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   25 (  14   ~;   4   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-3 aty)
%            Number of variables   :   18 (;  15   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f42,lemma,
    ! [U,V,W] :
      ( ~ check_cpq(triple(U,V,W))
     => ~ check_cpq(findmin_cpq_eff(triple(U,V,W))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f43,conjecture,
    ! [U,V,W] :
      ( ~ check_cpq(triple(U,V,W))
     => ( ~ check_cpq(findmin_cpq_eff(triple(U,V,W)))
        | ~ ok(findmin_cpq_eff(triple(U,V,W))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44,negated_conjecture,
    ~ ! [U,V,W] :
        ( ~ check_cpq(triple(U,V,W))
       => ( ~ check_cpq(findmin_cpq_eff(triple(U,V,W)))
          | ~ ok(findmin_cpq_eff(triple(U,V,W))) ) ),
    inference(negated_conjecture,[status(cth)],[f43]) ).

fof(f145,plain,
    ! [U,V,W] :
      ( check_cpq(triple(U,V,W))
      | ~ check_cpq(findmin_cpq_eff(triple(U,V,W))) ),
    inference(pre_NNF_transformation,[status(esa)],[f42]) ).

fof(f146,plain,
    ! [X0,X1,X2] :
      ( check_cpq(triple(X0,X1,X2))
      | ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ),
    inference(cnf_transformation,[status(esa)],[f145]) ).

fof(f147,plain,
    ? [U,V,W] :
      ( ~ check_cpq(triple(U,V,W))
      & check_cpq(findmin_cpq_eff(triple(U,V,W)))
      & ok(findmin_cpq_eff(triple(U,V,W))) ),
    inference(pre_NNF_transformation,[status(esa)],[f44]) ).

fof(f148,plain,
    ( ~ check_cpq(triple(sk0_0,sk0_1,sk0_2))
    & check_cpq(findmin_cpq_eff(triple(sk0_0,sk0_1,sk0_2)))
    & ok(findmin_cpq_eff(triple(sk0_0,sk0_1,sk0_2))) ),
    inference(skolemization,[status(esa)],[f147]) ).

fof(f149,plain,
    ~ check_cpq(triple(sk0_0,sk0_1,sk0_2)),
    inference(cnf_transformation,[status(esa)],[f148]) ).

fof(f150,plain,
    check_cpq(findmin_cpq_eff(triple(sk0_0,sk0_1,sk0_2))),
    inference(cnf_transformation,[status(esa)],[f148]) ).

fof(f154,plain,
    check_cpq(triple(sk0_0,sk0_1,sk0_2)),
    inference(resolution,[status(thm)],[f146,f150]) ).

fof(f155,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f154,f149]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : SWV388+1 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n008.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 11:38:38 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.5.1
% 0.16/0.55  % Refutation found
% 0.16/0.55  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.55  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.55  % Elapsed time: 0.013837 seconds
% 0.16/0.55  % CPU time: 0.012482 seconds
% 0.16/0.55  % Memory used: 3.697 MB
%------------------------------------------------------------------------------