TSTP Solution File: CSR064+1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : CSR064+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 : n014.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 20:11:49 EDT 2023

% Result   : Theorem 0.22s 0.62s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   41
% Syntax   : Number of formulae    :   59 (   9 unt;  34 typ;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   32 (  16   ~;  11   |;   1   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   32 (  21   >;  11   *;   0   +;   0  <<)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;  13 con; 0-1 aty)
%            Number of variables   :   26 (   3 sgn;  16   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    c_individual: $i ).

tff(decl_23,type,
    c_setorcollection: $i ).

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

tff(decl_25,type,
    individual: $i > $o ).

tff(decl_26,type,
    setorcollection: $i > $o ).

tff(decl_27,type,
    s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml: $i ).

tff(decl_28,type,
    f_urlfn: $i > $i ).

tff(decl_29,type,
    isa: ( $i * $i ) > $o ).

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

tff(decl_31,type,
    genlpreds: ( $i * $i ) > $o ).

tff(decl_32,type,
    c_subsetof: $i ).

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

tff(decl_34,type,
    subsetof: ( $i * $i ) > $o ).

tff(decl_35,type,
    most: ( $i * $i ) > $o ).

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

tff(decl_37,type,
    transitivebinarypredicate: $i > $o ).

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

tff(decl_39,type,
    genls: ( $i * $i ) > $o ).

tff(decl_40,type,
    arg1isa: ( $i * $i ) > $o ).

tff(decl_41,type,
    collection: $i > $o ).

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

tff(decl_43,type,
    c_transitivebinarypredicate: $i ).

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

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

tff(decl_46,type,
    c_basekb: $i ).

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

tff(decl_48,type,
    c_urlfn: $i ).

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

tff(decl_50,type,
    n_1: $i ).

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

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

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

tff(decl_54,type,
    c_universalvocabularymt: $i ).

tff(decl_55,type,
    c_tptpcol_15_74743: $i ).

fof(just23,axiom,
    ! [X9,X8] :
      ( genls(X9,X8)
     => collection(X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just23) ).

fof(query64,conjecture,
    ~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query64) ).

fof(just40,axiom,
    ! [X7,X9] :
      ( subsetof(X7,X9)
     => setorcollection(X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just40) ).

fof(just10,axiom,
    ! [X7,X8] :
      ( genls(X7,X8)
     => subsetof(X7,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).

fof(just26,axiom,
    ! [X12] :
      ( collection(X12)
     => genls(X12,X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just26) ).

fof(just2,axiom,
    ! [X1] :
      ~ ( individual(X1)
        & setorcollection(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just2) ).

fof(just3,axiom,
    individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just3) ).

fof(c_0_7,plain,
    ! [X54,X55] :
      ( ~ genls(X54,X55)
      | collection(X54) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just23])]) ).

fof(c_0_8,negated_conjecture,
    genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[query64])]) ).

fof(c_0_9,plain,
    ! [X87,X88] :
      ( ~ subsetof(X87,X88)
      | setorcollection(X88) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just40])]) ).

fof(c_0_10,plain,
    ! [X24,X25] :
      ( ~ genls(X24,X25)
      | subsetof(X24,X25) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just10])]) ).

fof(c_0_11,plain,
    ! [X61] :
      ( ~ collection(X61)
      | genls(X61,X61) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just26])]) ).

cnf(c_0_12,plain,
    ( collection(X1)
    | ~ genls(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_13,negated_conjecture,
    genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_14,plain,
    ! [X15] :
      ( ~ individual(X15)
      | ~ setorcollection(X15) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just2])]) ).

cnf(c_0_15,plain,
    ( setorcollection(X2)
    | ~ subsetof(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_16,plain,
    ( subsetof(X1,X2)
    | ~ genls(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,plain,
    ( genls(X1,X1)
    | ~ collection(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,negated_conjecture,
    collection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,plain,
    ( ~ individual(X1)
    | ~ setorcollection(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,plain,
    individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    inference(split_conjunct,[status(thm)],[just3]) ).

cnf(c_0_21,plain,
    ( setorcollection(X1)
    | ~ genls(X2,X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_23,plain,
    ~ setorcollection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : CSR064+1 : TPTP v8.1.2. Released v3.4.0.
% 0.14/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 28 07:30:31 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.22/0.60  start to proof: theBenchmark
% 0.22/0.62  % Version  : CSE_E---1.5
% 0.22/0.62  % Problem  : theBenchmark.p
% 0.22/0.62  % Proof found
% 0.22/0.62  % SZS status Theorem for theBenchmark.p
% 0.22/0.62  % SZS output start Proof
% See solution above
% 0.22/0.63  % Total time : 0.014000 s
% 0.22/0.63  % SZS output end Proof
% 0.22/0.63  % Total time : 0.018000 s
%------------------------------------------------------------------------------