TSTP Solution File: CSR038+4 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR038+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 20:14:30 EDT 2024

% Result   : Theorem 46.74s 6.83s
% Output   : CNFRefutation 49.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   32 (   9 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   55 (  24   ~;  19   |;   5   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-4 aty)
%            Number of variables   :   26 (  24   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4303,axiom,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4485,axiom,
    ! [TERM,INDEPCOL,PRED,DEPCOL] :
      ( ( isa(TERM,INDEPCOL)
        & relationexistsall(PRED,DEPCOL,INDEPCOL) )
     => isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14429,axiom,
    ! [TERM] :
      ( isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
     => tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14430,axiom,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f36134,axiom,
    ! [X] :
      ( isa(X,c_tptpcol_16_7738)
     => tptpcol_16_7738(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44217,conjecture,
    ? [X] :
      ( mtvisible(c_knowledgefragmentd3mt)
     => ( tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        & tptpcol_16_7738(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44218,negated_conjecture,
    ~ ? [X] :
        ( mtvisible(c_knowledgefragmentd3mt)
       => ( tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
          & tptpcol_16_7738(X) ) ),
    inference(negated_conjecture,[status(cth)],[f44217]) ).

fof(f49610,plain,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(cnf_transformation,[status(esa)],[f4303]) ).

fof(f49836,plain,
    ! [TERM,INDEPCOL,PRED,DEPCOL] :
      ( ~ isa(TERM,INDEPCOL)
      | ~ relationexistsall(PRED,DEPCOL,INDEPCOL)
      | isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
    inference(pre_NNF_transformation,[status(esa)],[f4485]) ).

fof(f49837,plain,
    ! [X0,X1,X2,X3] :
      ( ~ isa(X0,X1)
      | ~ relationexistsall(X2,X3,X1)
      | isa(f_relationexistsallfn(X0,X2,X3,X1),X3) ),
    inference(cnf_transformation,[status(esa)],[f49836]) ).

fof(f62332,plain,
    ! [TERM] :
      ( ~ isa(TERM,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
      | tptp_8_968(f_relationexistsallfn(TERM,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),TERM) ),
    inference(pre_NNF_transformation,[status(esa)],[f14429]) ).

fof(f62333,plain,
    ! [X0] :
      ( ~ isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
      | tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0) ),
    inference(cnf_transformation,[status(esa)],[f62332]) ).

fof(f62334,plain,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(cnf_transformation,[status(esa)],[f14430]) ).

fof(f94503,plain,
    ! [X] :
      ( ~ isa(X,c_tptpcol_16_7738)
      | tptpcol_16_7738(X) ),
    inference(pre_NNF_transformation,[status(esa)],[f36134]) ).

fof(f94504,plain,
    ! [X0] :
      ( ~ isa(X0,c_tptpcol_16_7738)
      | tptpcol_16_7738(X0) ),
    inference(cnf_transformation,[status(esa)],[f94503]) ).

fof(f110738,plain,
    ! [X] :
      ( mtvisible(c_knowledgefragmentd3mt)
      & ( ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        | ~ tptpcol_16_7738(X) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f44218]) ).

fof(f110739,plain,
    ( mtvisible(c_knowledgefragmentd3mt)
    & ! [X] :
        ( ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        | ~ tptpcol_16_7738(X) ) ),
    inference(miniscoping,[status(esa)],[f110738]) ).

fof(f110741,plain,
    ! [X0] :
      ( ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
      | ~ tptpcol_16_7738(X0) ),
    inference(cnf_transformation,[status(esa)],[f110739]) ).

fof(f118394,plain,
    ! [X0,X1,X2] :
      ( ~ isa(X0,X1)
      | ~ relationexistsall(X2,c_tptpcol_16_7738,X1)
      | tptpcol_16_7738(f_relationexistsallfn(X0,X2,c_tptpcol_16_7738,X1)) ),
    inference(resolution,[status(thm)],[f49837,f94504]) ).

fof(f118401,plain,
    tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),
    inference(resolution,[status(thm)],[f62333,f49610]) ).

fof(f118403,plain,
    ~ tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))),
    inference(resolution,[status(thm)],[f118401,f110741]) ).

fof(f118404,plain,
    ( spl0_1913
  <=> isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    introduced(split_symbol_definition) ).

fof(f118406,plain,
    ( ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
    | spl0_1913 ),
    inference(component_clause,[status(thm)],[f118404]) ).

fof(f118407,plain,
    ( spl0_1914
  <=> relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    introduced(split_symbol_definition) ).

fof(f118409,plain,
    ( ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
    | spl0_1914 ),
    inference(component_clause,[status(thm)],[f118407]) ).

fof(f118410,plain,
    ( ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
    | ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(resolution,[status(thm)],[f118403,f118394]) ).

fof(f118411,plain,
    ( ~ spl0_1913
    | ~ spl0_1914 ),
    inference(split_clause,[status(thm)],[f118410,f118404,f118407]) ).

fof(f118412,plain,
    ( $false
    | spl0_1913 ),
    inference(forward_subsumption_resolution,[status(thm)],[f118406,f49610]) ).

fof(f118413,plain,
    spl0_1913,
    inference(contradiction_clause,[status(thm)],[f118412]) ).

fof(f118414,plain,
    ( $false
    | spl0_1914 ),
    inference(forward_subsumption_resolution,[status(thm)],[f118409,f62334]) ).

fof(f118415,plain,
    spl0_1914,
    inference(contradiction_clause,[status(thm)],[f118414]) ).

fof(f118416,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f118411,f118413,f118415]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : CSR038+4 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n019.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Apr 29 23:53:44 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.79/0.97  % Drodi V3.6.0
% 46.74/6.83  % Refutation found
% 46.74/6.83  % SZS status Theorem for theBenchmark: Theorem is valid
% 46.74/6.83  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 50.76/7.29  % Elapsed time: 6.904001 seconds
% 50.76/7.29  % CPU time: 48.025658 seconds
% 50.76/7.29  % Total memory used: 1.902 GB
% 50.76/7.29  % Net memory used: 1.892 GB
%------------------------------------------------------------------------------