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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR064+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n022.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 04:14:39 PM UTC 2026

% Result   : Theorem 1.29s 1.72s
% Output   : CNFRefutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (   7 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   22 (  12   ~;   7   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   17 (   2 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(just41,axiom,
    ! [X9,X8] :
      ( subsetof(X9,X8)
     => setorcollection(X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just41) ).

fof(just10,axiom,
    ! [X7,X8] :
      ( genls(X7,X8)
     => subsetof(X7,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).

fof(just2,axiom,
    ! [X1] :
      ~ ( individual(X1)
        & setorcollection(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).

fof(query64,conjecture,
    ~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query64) ).

fof(just3,axiom,
    individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just3) ).

fof(c_0_5,plain,
    ! [X231,X232] :
      ( ~ subsetof(X231,X232)
      | setorcollection(X231) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just41])]) ).

fof(c_0_6,plain,
    ! [X166,X167] :
      ( ~ genls(X166,X167)
      | subsetof(X166,X167) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just10])]) ).

fof(c_0_7,plain,
    ! [X157] :
      ( ~ individual(X157)
      | ~ setorcollection(X157) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just2])]) ).

cnf(c_0_8,plain,
    ( setorcollection(X1)
    | ~ subsetof(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( subsetof(X1,X2)
    | ~ genls(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_10,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])]) ).

cnf(c_0_11,plain,
    ( ~ individual(X1)
    | ~ setorcollection(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    inference(split_conjunct,[status(thm)],[just3]) ).

cnf(c_0_13,plain,
    ( setorcollection(X1)
    | ~ genls(X1,X2) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_14,negated_conjecture,
    genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    ~ setorcollection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR064+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n022.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 16:40:51 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 1.29/1.72  % Version  : CSE_E---1.7
% 1.29/1.72  % Problem  : theBenchmark.p
% 1.29/1.72  % SZS status Theorem for theBenchmark.p
% 1.29/1.72  % SZS output start CNFRefutation
% See solution above
% 1.29/1.72  % Total time : 1.373s
%------------------------------------------------------------------------------