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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR063+4 : 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 : n011.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 30.32s 20.82s
% Output   : CNFRefutation 30.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (   8 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   19 (  10   ~;   6   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   15 (   1 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax3_41386,axiom,
    ! [X16,X17] :
      ( disjointwith(X16,X17)
     => disjointwith(X17,X16) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+3.ax',ax3_41386) ).

fof(query213,conjecture,
    ~ disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),c_tptpcol_16_118949),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query213) ).

fof(ax3_7072,axiom,
    ! [X2,X3] :
      ( disjointwith(X2,X3)
     => collection(X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+3.ax',ax3_7072) ).

fof(ax3_4028,axiom,
    ! [X1] :
      ~ ( collection(X1)
        & individual(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+3.ax',ax3_4028) ).

fof(ax3_23452,axiom,
    individual(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+3.ax',ax3_23452) ).

fof(c_0_5,plain,
    ! [X44567,X44568] :
      ( ~ disjointwith(X44567,X44568)
      | disjointwith(X44568,X44567) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_41386])]) ).

fof(c_0_6,negated_conjecture,
    disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),c_tptpcol_16_118949),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[query213])]) ).

fof(c_0_7,plain,
    ! [X25614,X25615] :
      ( ~ disjointwith(X25614,X25615)
      | collection(X25615) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_7072])]) ).

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

cnf(c_0_9,negated_conjecture,
    disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)),c_tptpcol_16_118949),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_10,plain,
    ! [X24925] :
      ( ~ collection(X24925)
      | ~ individual(X24925) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_4028])]) ).

cnf(c_0_11,plain,
    ( collection(X2)
    | ~ disjointwith(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    disjointwith(c_tptpcol_16_118949,f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,plain,
    ( ~ collection(X1)
    | ~ individual(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    collection(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,plain,
    individual(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))),
    inference(split_conjunct,[status(thm)],[ax3_23452]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : CSR063+4 : TPTP v9.2.1. Released v3.4.0.
% 0.12/0.13  % 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
% 0.18/0.34  % Computer : n011.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit   : 300
% 0.18/0.34  % WCLimit    : 300
% 0.18/0.34  % DateTime   : Mon May  4 16:40:17 EDT 2026
% 0.18/0.35  % CPUTime    : 
% 0.21/0.36  % start to proof: theBenchmark
% 30.32/20.82  % Version  : CSE_E---1.7
% 30.32/20.82  % Problem  : theBenchmark.p
% 30.32/20.82  % SZS status Theorem for theBenchmark.p
% 30.32/20.82  % SZS output start CNFRefutation
% See solution above
% 30.32/20.85  % Total time : 19.273s
%------------------------------------------------------------------------------