TSTP Solution File: CSR038+3 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR038+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 0.16s 0.54s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   32 (   7 unt;   0 def)
%            Number of atoms       :   65 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   59 (  26   ~;  21   |;   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   :   28 (  26   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f85,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/sandbox/benchmark/theBenchmark.p') ).

fof(f86,axiom,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f453,axiom,
    ! [TERM,INDEPCOL,PRED,DEPCOL] :
      ( ( isa(TERM,INDEPCOL)
        & relationexistsall(PRED,DEPCOL,INDEPCOL) )
     => isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1129,axiom,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7785,axiom,
    ! [X] :
      ( isa(X,c_tptpcol_16_7738)
     => tptpcol_16_7738(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8006,conjecture,
    ? [X] :
      ( mtvisible(c_knowledgefragmentd3mt)
     => ( tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        & tptpcol_16_7738(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8007,negated_conjecture,
    ~ ? [X] :
        ( mtvisible(c_knowledgefragmentd3mt)
       => ( tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
          & tptpcol_16_7738(X) ) ),
    inference(negated_conjecture,[status(cth)],[f8006]) ).

fof(f8114,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)],[f85]) ).

fof(f8115,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)],[f8114]) ).

fof(f8116,plain,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(cnf_transformation,[status(esa)],[f86]) ).

fof(f8618,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)],[f453]) ).

fof(f8619,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)],[f8618]) ).

fof(f9589,plain,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(cnf_transformation,[status(esa)],[f1129]) ).

fof(f20921,plain,
    ! [X] :
      ( ~ isa(X,c_tptpcol_16_7738)
      | tptpcol_16_7738(X) ),
    inference(pre_NNF_transformation,[status(esa)],[f7785]) ).

fof(f20922,plain,
    ! [X0] :
      ( ~ isa(X0,c_tptpcol_16_7738)
      | tptpcol_16_7738(X0) ),
    inference(cnf_transformation,[status(esa)],[f20921]) ).

fof(f21391,plain,
    ! [X] :
      ( mtvisible(c_knowledgefragmentd3mt)
      & ( ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        | ~ tptpcol_16_7738(X) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f8007]) ).

fof(f21392,plain,
    ( mtvisible(c_knowledgefragmentd3mt)
    & ! [X] :
        ( ~ tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        | ~ tptpcol_16_7738(X) ) ),
    inference(miniscoping,[status(esa)],[f21391]) ).

fof(f21394,plain,
    ! [X0] :
      ( ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
      | ~ tptpcol_16_7738(X0) ),
    inference(cnf_transformation,[status(esa)],[f21392]) ).

fof(f24723,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)],[f8619,f20922]) ).

fof(f24726,plain,
    ! [X0] :
      ( ~ relationexistsall(X0,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
      | tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,X0,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))) ),
    inference(resolution,[status(thm)],[f24723,f9589]) ).

fof(f24737,plain,
    ! [X0] :
      ( ~ relationexistsall(X0,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
      | ~ tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,X0,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
    inference(resolution,[status(thm)],[f24726,f21394]) ).

fof(f24745,plain,
    ( spl0_827
  <=> relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    introduced(split_symbol_definition) ).

fof(f24747,plain,
    ( ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
    | spl0_827 ),
    inference(component_clause,[status(thm)],[f24745]) ).

fof(f24748,plain,
    ( spl0_828
  <=> isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    introduced(split_symbol_definition) ).

fof(f24750,plain,
    ( ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
    | spl0_828 ),
    inference(component_clause,[status(thm)],[f24748]) ).

fof(f24751,plain,
    ( ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
    | ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(resolution,[status(thm)],[f24737,f8115]) ).

fof(f24752,plain,
    ( ~ spl0_827
    | ~ spl0_828 ),
    inference(split_clause,[status(thm)],[f24751,f24745,f24748]) ).

fof(f24753,plain,
    ( $false
    | spl0_827 ),
    inference(forward_subsumption_resolution,[status(thm)],[f24747,f8116]) ).

fof(f24754,plain,
    spl0_827,
    inference(contradiction_clause,[status(thm)],[f24753]) ).

fof(f24755,plain,
    ( $false
    | spl0_828 ),
    inference(forward_subsumption_resolution,[status(thm)],[f24750,f9589]) ).

fof(f24756,plain,
    spl0_828,
    inference(contradiction_clause,[status(thm)],[f24755]) ).

fof(f24757,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f24752,f24754,f24756]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.14  % Problem  : CSR038+3 : TPTP v8.1.2. Released v3.4.0.
% 0.02/0.15  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.36  % Computer : n022.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8042.1875MB
% 0.10/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Apr 29 23:42:13 EDT 2024
% 0.10/0.36  % CPUTime  : 
% 0.16/0.49  % Drodi V3.6.0
% 0.16/0.54  % Refutation found
% 0.16/0.54  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.54  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.83/0.67  % Elapsed time: 0.283185 seconds
% 0.83/0.67  % CPU time: 0.631572 seconds
% 0.83/0.67  % Total memory used: 350.041 MB
% 0.83/0.67  % Net memory used: 348.183 MB
%------------------------------------------------------------------------------