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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : CSR038+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n032.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 : Thu Jul 24 11:18:40 AM UTC 2025

% Result   : Theorem 0.08s 0.28s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   26 (  10 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (  15   ~;  12   |;   3   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-4 aty)
%            Number of variables   :   17 (   0 sgn   7   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query38,plain,
    ? [X] :
      ( mtvisible(c_knowledgefragmentd3mt)
     => ( tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        & tptpcol_16_7738(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query38) ).

fof(query38_negated,plain,
    ~ ? [X] :
        ( mtvisible(c_knowledgefragmentd3mt)
       => ( tptp_8_968(X,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
          & tptpcol_16_7738(X) ) ),
    inference(negate_conjecture,[status(cth)],[query38]) ).

cnf(73,plain,
    ( ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
    | ~ tptpcol_16_7738(X0) ),
    inference(cnf,[status(esa)],[query38_negated]) ).

cnf(l0,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)
    | ~ 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(instantiation,[status(thm)],[73]) ).

fof(just6,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) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).

cnf(5,plain,
    ( ~ 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,[status(esa)],[just6]) ).

cnf(l1,plain,
    ( ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
    | 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(instantiation,[status(thm)],[5]) ).

fof(just40,plain,
    ! [X] :
      ( subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(X)
     => isa(X,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just40) ).

cnf(39,plain,
    ( ~ subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(X0)
    | isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(cnf,[status(esa)],[just40]) ).

cnf(l2,plain,
    ( ~ subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
    | isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(instantiation,[status(thm)],[39]) ).

fof(just9,plain,
    subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).

cnf(8,plain,
    subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),
    inference(cnf,[status(esa)],[just9]) ).

cnf(l6,plain,
    subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),
    inference(instantiation,[status(thm)],[8]) ).

fof(just41,plain,
    ! [X] :
      ( isa(X,c_tptpcol_16_7738)
     => tptpcol_16_7738(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just41) ).

cnf(40,plain,
    ( ~ isa(X0,c_tptpcol_16_7738)
    | tptpcol_16_7738(X0) ),
    inference(cnf,[status(esa)],[just41]) ).

cnf(l7,plain,
    ( ~ isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738)
    | 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(instantiation,[status(thm)],[40]) ).

fof(just1,plain,
    ! [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',just1) ).

cnf(0,plain,
    ( ~ isa(X0,X1)
    | ~ relationexistsall(X2,X3,X1)
    | isa(f_relationexistsallfn(X0,X2,X3,X1),X3) ),
    inference(cnf,[status(esa)],[just1]) ).

cnf(l8,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))
    | isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738) ),
    inference(instantiation,[status(thm)],[0]) ).

fof(just7,plain,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).

cnf(6,plain,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(cnf,[status(esa)],[just7]) ).

cnf(l10,plain,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(instantiation,[status(thm)],[6]) ).

fof(just8,plain,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).

cnf(7,plain,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(cnf,[status(esa)],[just8]) ).

cnf(l9,plain,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(instantiation,[status(thm)],[7]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l6,l7,l8,l10,l9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08  % Problem  : CSR038+1 : TPTP v9.0.0. Released v3.4.0.
% 0.04/0.09  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 300
% 0.08/0.28  % DateTime : Sun Jul 20 06:44:04 EDT 2025
% 0.08/0.28  % CPUTime  : 
% 0.08/0.28  % launching worker at depth: 1
% 0.08/0.28  % launching worker at depth: 8
% 0.08/0.28  % launching worker at depth: 5
% 0.08/0.28  % launching worker at depth: 3
% 0.08/0.28  % launching worker at depth: 2
% 0.08/0.28  % launching worker at depth: 6
% 0.08/0.28  % launching worker at depth: 7
% 0.08/0.28  % launching worker at depth: 4
% 0.08/0.28  % launching worker at depth: 9
% 0.08/0.28  % launching worker at depth: 10
% 0.08/0.28  % SZS status Theorem for theBenchmark
% 0.08/0.28  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------