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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR038+3 : TPTP v9.2.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% 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 : Tue May  5 04:14:17 PM UTC 2026

% Result   : Theorem 9.13s 6.91s
% Output   : CNFRefutation 9.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (   7 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   34 (  15   ~;  10   |;   4   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-4 aty)
%            Number of variables   :   22 (   0 sgn  13   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query138,conjecture,
    ? [X15] :
      ( mtvisible(c_knowledgefragmentd3mt)
     => ( tptp_8_968(X15,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        & tptpcol_16_7738(X15) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query138) ).

fof(ax2_85,axiom,
    ! [X7] :
      ( isa(X7,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
     => tptp_8_968(f_relationexistsallfn(X7,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_85) ).

fof(ax2_1129,axiom,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1129) ).

fof(ax2_7785,axiom,
    ! [X15] :
      ( isa(X15,c_tptpcol_16_7738)
     => tptpcol_16_7738(X15) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7785) ).

fof(ax2_453,axiom,
    ! [X7,X8,X9,X10] :
      ( ( isa(X7,X8)
        & relationexistsall(X9,X10,X8) )
     => isa(f_relationexistsallfn(X7,X9,X10,X8),X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_453) ).

fof(ax2_86,axiom,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_86) ).

fof(c_0_6,negated_conjecture,
    ~ ? [X15] :
        ( mtvisible(c_knowledgefragmentd3mt)
       => ( tptp_8_968(X15,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
          & tptpcol_16_7738(X15) ) ),
    inference(assume_negation,[status(cth)],[query138]) ).

fof(c_0_7,negated_conjecture,
    ! [X11964] :
      ( mtvisible(c_knowledgefragmentd3mt)
      & ( ~ tptp_8_968(X11964,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        | ~ tptpcol_16_7738(X11964) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).

fof(c_0_8,plain,
    ! [X6016] :
      ( ~ isa(X6016,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
      | tptp_8_968(f_relationexistsallfn(X6016,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X6016) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_85])]) ).

cnf(c_0_9,negated_conjecture,
    ( ~ tptp_8_968(X1,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
    | ~ tptpcol_16_7738(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    ( tptp_8_968(f_relationexistsallfn(X1,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X1)
    | ~ isa(X1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,plain,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(split_conjunct,[status(thm)],[ax2_1129]) ).

fof(c_0_12,plain,
    ! [X11597] :
      ( ~ isa(X11597,c_tptpcol_16_7738)
      | tptpcol_16_7738(X11597) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_7785])]) ).

cnf(c_0_13,negated_conjecture,
    ~ 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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).

cnf(c_0_14,plain,
    ( tptpcol_16_7738(X1)
    | ~ isa(X1,c_tptpcol_16_7738) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_15,plain,
    ! [X6117,X6118,X6119,X6120] :
      ( ~ isa(X6117,X6118)
      | ~ relationexistsall(X6119,X6120,X6118)
      | isa(f_relationexistsallfn(X6117,X6119,X6120,X6118),X6120) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_453])]) ).

cnf(c_0_16,negated_conjecture,
    ~ 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(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,plain,
    ( isa(f_relationexistsallfn(X1,X3,X4,X2),X4)
    | ~ isa(X1,X2)
    | ~ relationexistsall(X3,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_18,plain,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(split_conjunct,[status(thm)],[ax2_86]) ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_11])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR038+3 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n008.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Mon May  4 16:30:58 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 9.13/6.91  % Version  : CSE_E---1.7
% 9.13/6.91  % Problem  : theBenchmark.p
% 9.13/6.91  % SZS status Theorem for theBenchmark.p
% 9.13/6.91  % SZS output start CNFRefutation
% See solution above
% 9.13/6.92  % Total time : 6.024s
%------------------------------------------------------------------------------