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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : CSR027+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% 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 : Thu Jul 24 11:18:32 AM UTC 2025

% Result   : Theorem 0.20s 0.34s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   29 (  10 unt;   0 def)
%            Number of atoms       :   59 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   51 (  21   ~;  18   |;   5   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-4 aty)
%            Number of variables   :   19 (   0 sgn   8   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query27,plain,
    ? [X] :
      ( mtvisible(c_tptp_spindlecollectormt)
     => ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X)
        & tptpcol_16_31868(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query27) ).

fof(query27_negated,plain,
    ~ ? [X] :
        ( mtvisible(c_tptp_spindlecollectormt)
       => ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X)
          & tptpcol_16_31868(X) ) ),
    inference(negate_conjecture,[status(cth)],[query27]) ).

cnf(79,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf,[status(esa)],[query27_negated]) ).

cnf(l0,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(instantiation,[status(thm)],[79]) ).

fof(just63,plain,
    ! [SPECMT,GENLMT] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just63) ).

cnf(62,plain,
    ( ~ genlmt(X0,X1)
    | ~ mtvisible(X0)
    | mtvisible(X1) ),
    inference(cnf,[status(esa)],[just63]) ).

cnf(l1,plain,
    ( ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt)
    | mtvisible(c_tptp_member2610_mt) ),
    inference(instantiation,[status(thm)],[62]) ).

fof(just9,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).

cnf(8,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
    inference(cnf,[status(esa)],[just9]) ).

cnf(l2,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
    inference(instantiation,[status(thm)],[8]) ).

fof(just12,plain,
    ! [TERM] :
      ( ( mtvisible(c_tptp_member2610_mt)
        & isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
     => tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).

cnf(11,plain,
    ( ~ isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
    | ~ mtvisible(c_tptp_member2610_mt)
    | tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
    inference(cnf,[status(esa)],[just12]) ).

cnf(l3,plain,
    ( ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
    | ~ mtvisible(c_tptp_member2610_mt)
    | tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
    inference(instantiation,[status(thm)],[11]) ).

cnf(80,plain,
    ( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0)
    | ~ tptpcol_16_31868(X0) ),
    inference(cnf,[status(esa)],[query27_negated]) ).

cnf(l5,plain,
    ( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
    | ~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
    inference(instantiation,[status(thm)],[80]) ).

fof(just34,plain,
    ! [X] :
      ( isa(X,c_tptpcol_16_31868)
     => tptpcol_16_31868(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).

cnf(33,plain,
    ( ~ isa(X0,c_tptpcol_16_31868)
    | tptpcol_16_31868(X0) ),
    inference(cnf,[status(esa)],[just34]) ).

cnf(l33,plain,
    ( ~ isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868)
    | tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
    inference(instantiation,[status(thm)],[33]) ).

fof(just1,plain,
    ! [TERM,INDEPCOL,PRED,DEPCOL] :
      ( ( isa(TERM,INDEPCOL)
        & relationallexists(PRED,INDEPCOL,DEPCOL) )
     => isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).

cnf(0,plain,
    ( ~ isa(X0,X1)
    | ~ relationallexists(X2,X1,X3)
    | isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
    inference(cnf,[status(esa)],[just1]) ).

cnf(l37,plain,
    ( ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
    | ~ relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)
    | isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868) ),
    inference(instantiation,[status(thm)],[0]) ).

fof(just14,plain,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).

cnf(13,plain,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    inference(cnf,[status(esa)],[just14]) ).

cnf(l4,plain,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    inference(instantiation,[status(thm)],[13]) ).

fof(just13,plain,
    ( mtvisible(c_tptp_member2610_mt)
   => relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).

cnf(12,plain,
    ( ~ mtvisible(c_tptp_member2610_mt)
    | relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
    inference(cnf,[status(esa)],[just13]) ).

cnf(l38,plain,
    ( ~ mtvisible(c_tptp_member2610_mt)
    | relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
    inference(instantiation,[status(thm)],[12]) ).

cnf(l39,plain,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    inference(instantiation,[status(thm)],[13]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l5,l33,l37,l4,l38,l39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : CSR027+1 : TPTP v9.0.0. Released v3.4.0.
% 0.12/0.12  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sun Jul 20 06:33:19 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % launching worker at depth: 1
% 0.12/0.34  % launching worker at depth: 3
% 0.12/0.34  % launching worker at depth: 8
% 0.12/0.34  % launching worker at depth: 5
% 0.12/0.34  % launching worker at depth: 6
% 0.12/0.34  % launching worker at depth: 2
% 0.12/0.34  % launching worker at depth: 7
% 0.12/0.34  % launching worker at depth: 4
% 0.12/0.34  % launching worker at depth: 9
% 0.20/0.34  % launching worker at depth: 10
% 0.20/0.34  % launching worker at depth: 11
% 0.20/0.34  % launching worker at depth: 12
% 0.20/0.34  % SZS status Theorem for theBenchmark
% 0.20/0.34  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------