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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR038+2 : 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 : n007.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 3.95s 3.12s
% Output   : CNFRefutation 3.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   22 (   8 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   35 (  15   ~;  11   |;   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   :   23 (   0 sgn  13   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax1_64,axiom,
    ! [X7,X8,X3,X9] :
      ( ( isa(X7,X8)
        & relationexistsall(X3,X9,X8) )
     => isa(f_relationexistsallfn(X7,X3,X9,X8),X9) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_64) ).

fof(query88,conjecture,
    ? [X13] :
      ( mtvisible(c_knowledgefragmentd3mt)
     => ( tptp_8_968(X13,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        & tptpcol_16_7738(X13) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query88) ).

fof(ax1_244,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+1.ax',ax1_244) ).

fof(ax1_245,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+1.ax',ax1_245) ).

fof(ax1_134,axiom,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_134) ).

fof(ax1_673,axiom,
    ! [X13] :
      ( isa(X13,c_tptpcol_16_7738)
     => tptpcol_16_7738(X13) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_673) ).

fof(c_0_6,plain,
    ! [X1173,X1174,X1175,X1176] :
      ( ~ isa(X1173,X1174)
      | ~ relationexistsall(X1175,X1176,X1174)
      | isa(f_relationexistsallfn(X1173,X1175,X1176,X1174),X1176) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_64])]) ).

fof(c_0_7,negated_conjecture,
    ~ ? [X13] :
        ( mtvisible(c_knowledgefragmentd3mt)
       => ( tptp_8_968(X13,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
          & tptpcol_16_7738(X13) ) ),
    inference(assume_negation,[status(cth)],[query88]) ).

fof(c_0_8,plain,
    ! [X1250] :
      ( ~ isa(X1250,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
      | tptp_8_968(f_relationexistsallfn(X1250,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X1250) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_244])]) ).

cnf(c_0_9,plain,
    ( isa(f_relationexistsallfn(X1,X3,X4,X2),X4)
    | ~ isa(X1,X2)
    | ~ relationexistsall(X3,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(split_conjunct,[status(thm)],[ax1_245]) ).

fof(c_0_11,negated_conjecture,
    ! [X2265] :
      ( mtvisible(c_knowledgefragmentd3mt)
      & ( ~ tptp_8_968(X2265,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        | ~ tptpcol_16_7738(X2265) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).

cnf(c_0_12,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_13,plain,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(split_conjunct,[status(thm)],[ax1_134]) ).

fof(c_0_14,plain,
    ! [X1575] :
      ( ~ isa(X1575,c_tptpcol_16_7738)
      | tptpcol_16_7738(X1575) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_673])]) ).

cnf(c_0_15,plain,
    ( isa(f_relationexistsallfn(X1,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738)
    | ~ isa(X1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_16,negated_conjecture,
    ( ~ tptp_8_968(X1,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
    | ~ tptpcol_16_7738(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,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(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,plain,
    ( tptpcol_16_7738(X1)
    | ~ isa(X1,c_tptpcol_16_7738) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,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),
    inference(spm,[status(thm)],[c_0_15,c_0_13]) ).

cnf(c_0_20,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(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : CSR038+2 : TPTP v9.2.1. Released v3.4.0.
% 0.13/0.13  % 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
% 0.16/0.34  % Computer : n007.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit   : 300
% 0.16/0.34  % WCLimit    : 300
% 0.16/0.34  % DateTime   : Mon May  4 16:29:53 EDT 2026
% 0.16/0.35  % CPUTime    : 
% 0.20/0.36  % start to proof: theBenchmark
% 3.95/3.12  % Version  : CSE_E---1.7
% 3.95/3.12  % Problem  : theBenchmark.p
% 3.95/3.12  % SZS status Theorem for theBenchmark.p
% 3.95/3.12  % SZS output start CNFRefutation
% See solution above
% 3.95/3.12  % Total time : 2.484s
%------------------------------------------------------------------------------