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Prover9---2026-6A.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR060+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 07:07:00 AM UTC 2026

% Result   : Theorem 0.90s 0.82s
% Output   : CNFRefutation 0.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   36 (  18 unt;   0 def)
%            Number of atoms       :   62 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   43 (  17   ~;  14   |;   5   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;  11 con; 0-4 aty)
%            Number of variables   :   25 (   0 sgn   8   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax3_4485,axiom,
    ! [TERM,INDEPCOL,PRED,DEPCOL] :
      ( ( relationexistsall(PRED,DEPCOL,INDEPCOL)
        & isa(TERM,INDEPCOL) )
     => isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
    file('theBenchmark.p',ax3_4485) ).

fof(ax3_20306,axiom,
    ! [TERM] :
      ( ( isa(TERM,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma))
        & mtvisible(c_currentworlddatacollectormt_nonhomocentric) )
     => tptp_9_51(f_relationexistsallfn(TERM,c_tptp_9_51,c_tptpcol_16_27189,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)),TERM) ),
    file('theBenchmark.p',ax3_20306) ).

fof(ax3_33478,axiom,
    ! [X] :
      ( isa(X,c_tptpcol_16_27189)
     => tptpcol_16_27189(X) ),
    file('theBenchmark.p',ax3_33478) ).

fof(ax3_44208,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('theBenchmark.p',ax3_44208) ).

fof(ax3_29483,axiom,
    ( mtvisible(c_currentworlddatacollectormt_nonhomocentric)
   => relationexistsall(c_tptp_9_51,c_tptpcol_16_27189,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)) ),
    file('theBenchmark.p',ax3_29483) ).

fof(query210,conjecture,
    ? [X] :
      ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwsurgerydoorcoukmedconsprintasprecno23068988)),c_translation_0_885))
     => ( tptpcol_16_27189(X)
        & tptp_9_51(X,c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802) ) ),
    file('theBenchmark.p',query210) ).

fof(query210_neg,negated_conjecture,
    ~ ? [X] :
        ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwsurgerydoorcoukmedconsprintasprecno23068988)),c_translation_0_885))
       => ( tptpcol_16_27189(X)
          & tptp_9_51(X,c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802) ) ),
    inference(assume_negation,[status(cth)],[query210]) ).

fof(ax3_18486,axiom,
    genlmt(c_machinelearningspindleheadmt,c_ldscdemonstrationspindleheadmt),
    file('theBenchmark.p',ax3_18486) ).

cnf(c_147,plain,
    genlmt(c_machinelearningspindleheadmt,c_ldscdemonstrationspindleheadmt),
    inference(clausify,[status(thm)],[ax3_18486]) ).

cnf(c_161,plain,
    ( relationexistsall(c_tptp_9_51,c_tptpcol_16_27189,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma))
    | ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    inference(clausify,[status(thm)],[ax3_29483]) ).

cnf(c_239,plain,
    ( isa(f_relationexistsallfn(A,C,D,B),D)
    | ~ relationexistsall(C,D,B)
    | ~ isa(A,B) ),
    inference(clausify,[status(thm)],[ax3_4485]) ).

fof(ax3_5459,axiom,
    genlmt(c_ldscdemonstrationspindleheadmt,c_currentworlddatacollectormt_nonhomocentric),
    file('theBenchmark.p',ax3_5459) ).

cnf(c_241,plain,
    genlmt(c_ldscdemonstrationspindleheadmt,c_currentworlddatacollectormt_nonhomocentric),
    inference(clausify,[status(thm)],[ax3_5459]) ).

fof(ax3_6189,axiom,
    isa(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)),
    file('theBenchmark.p',ax3_6189) ).

cnf(c_242,plain,
    isa(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)),
    inference(clausify,[status(thm)],[ax3_6189]) ).

fof(ax3_13081,axiom,
    genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwsurgerydoorcoukmedconsprintasprecno23068988)),c_translation_0_885),c_machinelearningspindleheadmt),
    file('theBenchmark.p',ax3_13081) ).

cnf(c_245,plain,
    genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwsurgerydoorcoukmedconsprintasprecno23068988)),c_translation_0_885),c_machinelearningspindleheadmt),
    inference(clausify,[status(thm)],[ax3_13081]) ).

cnf(c_248,plain,
    ( tptp_9_51(f_relationexistsallfn(A,c_tptp_9_51,c_tptpcol_16_27189,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)),A)
    | ~ isa(A,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma))
    | ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    inference(clausify,[status(thm)],[ax3_20306]) ).

cnf(c_251,plain,
    ( tptpcol_16_27189(A)
    | ~ isa(A,c_tptpcol_16_27189) ),
    inference(clausify,[status(thm)],[ax3_33478]) ).

cnf(c_265,plain,
    ( mtvisible(B)
    | ~ genlmt(A,B)
    | ~ mtvisible(A) ),
    inference(clausify,[status(thm)],[ax3_44208]) ).

cnf(c_267,negated_conjecture,
    mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwsurgerydoorcoukmedconsprintasprecno23068988)),c_translation_0_885)),
    inference(clausify,[status(thm)],[query210_neg]) ).

cnf(c_268,negated_conjecture,
    ( ~ tptpcol_16_27189(A)
    | ~ tptp_9_51(A,c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802) ),
    inference(clausify,[status(thm)],[query210_neg]) ).

cnf(c_411,negated_conjecture,
    ( mtvisible(A)
    | ~ genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwsurgerydoorcoukmedconsprintasprecno23068988)),c_translation_0_885),A) ),
    inference(resolve,[status(thm)],[c_265,c_267]) ).

cnf(c_330,negated_conjecture,
    mtvisible(c_machinelearningspindleheadmt),
    inference(resolve,[status(thm)],[c_411,c_245]) ).

cnf(c_412,plain,
    ( mtvisible(A)
    | ~ genlmt(c_machinelearningspindleheadmt,A) ),
    inference(resolve,[status(thm)],[c_265,c_330]) ).

cnf(c_331,plain,
    mtvisible(c_ldscdemonstrationspindleheadmt),
    inference(resolve,[status(thm)],[c_412,c_147]) ).

cnf(c_413,plain,
    ( mtvisible(A)
    | ~ genlmt(c_ldscdemonstrationspindleheadmt,A) ),
    inference(resolve,[status(thm)],[c_265,c_331]) ).

cnf(c_333,plain,
    mtvisible(c_currentworlddatacollectormt_nonhomocentric),
    inference(resolve,[status(thm)],[c_413,c_241]) ).

cnf(c_334,plain,
    ( tptp_9_51(f_relationexistsallfn(A,c_tptp_9_51,c_tptpcol_16_27189,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)),A)
    | ~ isa(A,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)) ),
    inference(resolve,[status(thm)],[c_333,c_248]) ).

cnf(c_337,plain,
    relationexistsall(c_tptp_9_51,c_tptpcol_16_27189,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)),
    inference(resolve,[status(thm)],[c_333,c_161]) ).

cnf(c_414,plain,
    ( isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802,A,B,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)),B)
    | ~ relationexistsall(A,B,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)) ),
    inference(resolve,[status(thm)],[c_239,c_242]) ).

cnf(c_384,plain,
    isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802,c_tptp_9_51,c_tptpcol_16_27189,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)),c_tptpcol_16_27189),
    inference(resolve,[status(thm)],[c_414,c_337]) ).

cnf(c_403,plain,
    tptpcol_16_27189(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802,c_tptp_9_51,c_tptpcol_16_27189,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma))),
    inference(resolve,[status(thm)],[c_251,c_384]) ).

cnf(c_404,negated_conjecture,
    ~ tptp_9_51(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802,c_tptp_9_51,c_tptpcol_16_27189,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)),c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802),
    inference(resolve,[status(thm)],[c_268,c_403]) ).

cnf(c_415,plain,
    tptp_9_51(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802,c_tptp_9_51,c_tptpcol_16_27189,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)),c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802),
    inference(resolve,[status(thm)],[c_334,c_242]) ).

cnf(c_410,plain,
    $false,
    inference(resolve,[status(thm)],[c_404,c_415]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR060+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n002.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sun Sep 27 00:30:21 UTC 2026
% 0.13/0.37  % CPUTime  : 
% 0.13/0.37  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.37  % Process 2999804 was started by sandbox on n002,
% 0.13/0.37  % Sun Sep 27 00:30:21 2026
% 0.13/0.37  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.90/0.82  
% 0.90/0.82  % SInE (scan): 119 to sos (tol 1.5x), 32 to usable (tol 2.0x), 44065 zapped, of 44216 axioms (depth 3).
% 0.90/0.82  
% 0.90/0.82  % From the command line: assign(max_seconds, 300).
% 0.90/0.82  
% 0.90/0.82  % SZS status Theorem for theBenchmark
% 0.90/0.82  
% 0.90/0.82  % Proof 1 at 0.07 (+ 0.04) seconds.
% 0.90/0.82  % Length of proof is 26.
% 0.90/0.82  % Level of proof is 9.
% 0.90/0.82  % Maximum clause weight is 114.000.
% 0.90/0.82  % Given clauses 143.
% 0.90/0.82  
% 0.90/0.82  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------