TSTP Solution File: CSR038+1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : CSR038+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n031.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 : Wed Aug 30 19:21:59 EDT 2023

% Result   : Theorem 0.19s 0.59s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   53
% Syntax   : Number of formulae    :   68 (   6 unt;  47 typ;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   38 (  17   ~;  12   |;   4   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   49 (  30   >;  19   *;   0   +;   0  <<)
%            Number of predicates  :   29 (  28 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  17 con; 0-4 aty)
%            Number of variables   :   24 (   0 sgn;  13   !;   2   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    isa: ( $i * $i ) > $o ).

tff(decl_23,type,
    relationexistsall: ( $i * $i * $i ) > $o ).

tff(decl_24,type,
    f_relationexistsallfn: ( $i * $i * $i * $i ) > $i ).

tff(decl_25,type,
    c_relationexistsallfn: $i ).

tff(decl_26,type,
    n_3: $i ).

tff(decl_27,type,
    resultisaarg: ( $i * $i ) > $o ).

tff(decl_28,type,
    c_knowledgefragmentd3mt: $i ).

tff(decl_29,type,
    c_basekb: $i ).

tff(decl_30,type,
    genlmt: ( $i * $i ) > $o ).

tff(decl_31,type,
    c_genlmt: $i ).

tff(decl_32,type,
    transitivebinarypredicate: $i > $o ).

tff(decl_33,type,
    c_universalvocabularymt: $i ).

tff(decl_34,type,
    c_issuingaprescription: $i ).

tff(decl_35,type,
    c_products: $i ).

tff(decl_36,type,
    c_correctivelensprescription: $i ).

tff(decl_37,type,
    f_subcollectionofwithrelationtotypefn: ( $i * $i * $i ) > $i ).

tff(decl_38,type,
    c_tptp_8_968: $i ).

tff(decl_39,type,
    c_tptpcol_16_7738: $i ).

tff(decl_40,type,
    tptp_8_968: ( $i * $i ) > $o ).

tff(decl_41,type,
    c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804: $i ).

tff(decl_42,type,
    subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription: $i > $o ).

tff(decl_43,type,
    disjointwith: ( $i * $i ) > $o ).

tff(decl_44,type,
    genlinverse: ( $i * $i ) > $o ).

tff(decl_45,type,
    genlpreds: ( $i * $i ) > $o ).

tff(decl_46,type,
    predicate: $i > $o ).

tff(decl_47,type,
    binarypredicate: $i > $o ).

tff(decl_48,type,
    collection: $i > $o ).

tff(decl_49,type,
    genls: ( $i * $i ) > $o ).

tff(decl_50,type,
    correctivelensprescription: $i > $o ).

tff(decl_51,type,
    products: ( $i * $i ) > $o ).

tff(decl_52,type,
    artifact: $i > $o ).

tff(decl_53,type,
    creationordestructionevent: $i > $o ).

tff(decl_54,type,
    issuingaprescription: $i > $o ).

tff(decl_55,type,
    c_subcollectionofwithrelationtotypefn: $i ).

tff(decl_56,type,
    natfunction: ( $i * $i ) > $o ).

tff(decl_57,type,
    n_1: $i ).

tff(decl_58,type,
    natargument: ( $i * $i * $i ) > $o ).

tff(decl_59,type,
    n_2: $i ).

tff(decl_60,type,
    tptpcol_16_7738: $i > $o ).

tff(decl_61,type,
    tptpcol_7_7172: $i > $o ).

tff(decl_62,type,
    c_transitivebinarypredicate: $i ).

tff(decl_63,type,
    thing: $i > $o ).

tff(decl_64,type,
    mtvisible: $i > $o ).

tff(decl_65,type,
    microtheory: $i > $o ).

tff(decl_66,type,
    n_4: $i ).

tff(decl_67,type,
    positiveinteger: $i > $o ).

tff(decl_68,type,
    function_denotational: $i > $o ).

fof(query38,conjecture,
    ? [X13] :
      ( mtvisible(c_knowledgefragmentd3mt)
     => ( tptp_8_968(X13,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        & tptpcol_16_7738(X13) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query38) ).

fof(just41,axiom,
    ! [X13] :
      ( isa(X13,c_tptpcol_16_7738)
     => tptpcol_16_7738(X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just41) ).

fof(just6,axiom,
    ! [X1] :
      ( isa(X1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
     => tptp_8_968(f_relationexistsallfn(X1,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).

fof(just1,axiom,
    ! [X1,X2,X3,X4] :
      ( ( isa(X1,X2)
        & relationexistsall(X3,X4,X2) )
     => isa(f_relationexistsallfn(X1,X3,X4,X2),X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).

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

fof(just7,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',just7) ).

fof(c_0_6,negated_conjecture,
    ~ ? [X13] :
        ( mtvisible(c_knowledgefragmentd3mt)
       => ( tptp_8_968(X13,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
          & tptpcol_16_7738(X13) ) ),
    inference(assume_negation,[status(cth)],[query38]) ).

fof(c_0_7,negated_conjecture,
    ! [X164] :
      ( mtvisible(c_knowledgefragmentd3mt)
      & ( ~ tptp_8_968(X164,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        | ~ tptpcol_16_7738(X164) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).

fof(c_0_8,plain,
    ! [X93] :
      ( ~ isa(X93,c_tptpcol_16_7738)
      | tptpcol_16_7738(X93) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just41])]) ).

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,
    ( tptpcol_16_7738(X1)
    | ~ isa(X1,c_tptpcol_16_7738) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_11,plain,
    ! [X26] :
      ( ~ isa(X26,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
      | tptp_8_968(f_relationexistsallfn(X26,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X26) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just6])]) ).

fof(c_0_12,plain,
    ! [X22,X23,X24,X25] :
      ( ~ isa(X22,X23)
      | ~ relationexistsall(X24,X25,X23)
      | isa(f_relationexistsallfn(X22,X24,X25,X23),X25) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just1])]) ).

cnf(c_0_13,negated_conjecture,
    ( ~ tptp_8_968(X1,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
    | ~ isa(X1,c_tptpcol_16_7738) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,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_11]) ).

cnf(c_0_15,plain,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(split_conjunct,[status(thm)],[just8]) ).

cnf(c_0_16,plain,
    ( isa(f_relationexistsallfn(X1,X3,X4,X2),X4)
    | ~ isa(X1,X2)
    | ~ relationexistsall(X3,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(split_conjunct,[status(thm)],[just7]) ).

cnf(c_0_18,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).

cnf(c_0_19,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_16,c_0_17]) ).

cnf(c_0_20,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_15])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : CSR038+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n031.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 28 13:03:55 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.57  start to proof: theBenchmark
% 0.19/0.59  % Version  : CSE_E---1.5
% 0.19/0.59  % Problem  : theBenchmark.p
% 0.19/0.59  % Proof found
% 0.19/0.59  % SZS status Theorem for theBenchmark.p
% 0.19/0.59  % SZS output start Proof
% See solution above
% 0.19/0.59  % Total time : 0.013000 s
% 0.19/0.59  % SZS output end Proof
% 0.19/0.59  % Total time : 0.015000 s
%------------------------------------------------------------------------------