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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR060+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n015.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 227.52s 169.70s
% Output   : CNFRefutation 227.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            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(ax5_682350,axiom,
    ! [TERM,INDEPCOL,PRED,DEPCOL] :
      ( ( relationexistsall(PRED,DEPCOL,INDEPCOL)
        & isa(TERM,INDEPCOL) )
     => isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
    file('theBenchmark.p',ax5_682350) ).

fof(ax5_2689624,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',ax5_2689624) ).

fof(ax5_2689625,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',ax5_2689625) ).

fof(ax5_3000963,axiom,
    ! [X] :
      ( isa(X,c_tptpcol_16_27189)
     => tptpcol_16_27189(X) ),
    file('theBenchmark.p',ax5_3000963) ).

fof(ax5_3342125,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('theBenchmark.p',ax5_3342125) ).

fof(query310,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',query310) ).

fof(query310_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)],[query310]) ).

fof(ax5_1019309,axiom,
    genlmt(c_analystdatabasemt,c_currentworlddatacollectormt_nonhomocentric),
    file('theBenchmark.p',ax5_1019309) ).

cnf(c_1208,plain,
    genlmt(c_analystdatabasemt,c_currentworlddatacollectormt_nonhomocentric),
    inference(clausify,[status(thm)],[ax5_1019309]) ).

cnf(c_2205,plain,
    ( isa(f_relationexistsallfn(A,C,D,B),D)
    | ~ relationexistsall(C,D,B)
    | ~ isa(A,B) ),
    inference(clausify,[status(thm)],[ax5_682350]) ).

fof(ax5_858003,axiom,
    genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwsurgerydoorcoukmedconsprintasprecno23068988)),c_translation_0_885),c_machinelearningspindleheadmt),
    file('theBenchmark.p',ax5_858003) ).

cnf(c_2214,plain,
    genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwsurgerydoorcoukmedconsprintasprecno23068988)),c_translation_0_885),c_machinelearningspindleheadmt),
    inference(clausify,[status(thm)],[ax5_858003]) ).

fof(ax5_1051558,axiom,
    isa(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)),
    file('theBenchmark.p',ax5_1051558) ).

cnf(c_2225,plain,
    isa(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)),
    inference(clausify,[status(thm)],[ax5_1051558]) ).

fof(ax5_2663088,axiom,
    genlmt(c_machinelearningspindleheadmt,c_analystdatabasemt),
    file('theBenchmark.p',ax5_2663088) ).

cnf(c_2304,plain,
    genlmt(c_machinelearningspindleheadmt,c_analystdatabasemt),
    inference(clausify,[status(thm)],[ax5_2663088]) ).

cnf(c_2305,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)],[ax5_2689624]) ).

cnf(c_2306,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)],[ax5_2689625]) ).

cnf(c_2320,plain,
    ( tptpcol_16_27189(A)
    | ~ isa(A,c_tptpcol_16_27189) ),
    inference(clausify,[status(thm)],[ax5_3000963]) ).

cnf(c_2339,plain,
    ( mtvisible(B)
    | ~ genlmt(A,B)
    | ~ mtvisible(A) ),
    inference(clausify,[status(thm)],[ax5_3342125]) ).

cnf(c_2343,negated_conjecture,
    mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwsurgerydoorcoukmedconsprintasprecno23068988)),c_translation_0_885)),
    inference(clausify,[status(thm)],[query310_neg]) ).

cnf(c_2344,negated_conjecture,
    ( ~ tptpcol_16_27189(A)
    | ~ tptp_9_51(A,c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802) ),
    inference(clausify,[status(thm)],[query310_neg]) ).

cnf(c_3719,negated_conjecture,
    ( mtvisible(A)
    | ~ genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwsurgerydoorcoukmedconsprintasprecno23068988)),c_translation_0_885),A) ),
    inference(resolve,[status(thm)],[c_2339,c_2343]) ).

cnf(c_3119,negated_conjecture,
    mtvisible(c_machinelearningspindleheadmt),
    inference(resolve,[status(thm)],[c_3719,c_2214]) ).

cnf(c_3720,plain,
    ( mtvisible(A)
    | ~ genlmt(c_machinelearningspindleheadmt,A) ),
    inference(resolve,[status(thm)],[c_2339,c_3119]) ).

cnf(c_3121,plain,
    mtvisible(c_analystdatabasemt),
    inference(resolve,[status(thm)],[c_3720,c_2304]) ).

cnf(c_3721,plain,
    ( mtvisible(A)
    | ~ genlmt(c_analystdatabasemt,A) ),
    inference(resolve,[status(thm)],[c_2339,c_3121]) ).

cnf(c_3160,plain,
    mtvisible(c_currentworlddatacollectormt_nonhomocentric),
    inference(resolve,[status(thm)],[c_3721,c_1208]) ).

cnf(c_3162,plain,
    relationexistsall(c_tptp_9_51,c_tptpcol_16_27189,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)),
    inference(resolve,[status(thm)],[c_3160,c_2306]) ).

cnf(c_3163,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_3160,c_2305]) ).

cnf(c_3722,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_2205,c_2225]) ).

cnf(c_3466,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_3722,c_3162]) ).

cnf(c_3469,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_3163,c_2225]) ).

cnf(c_3699,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_2320,c_3466]) ).

cnf(c_3723,negated_conjecture,
    ~ 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_2344,c_3469]) ).

cnf(c_3718,negated_conjecture,
    $false,
    inference(resolve,[status(thm)],[c_3699,c_3723]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR060+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37  % Computer : n015.cluster.edu
% 0.08/0.37  % Model    : x86_64 x86_64
% 0.08/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37  % Memory   : 8046.5625MB
% 0.08/0.37  % OS       : Linux 6.8.0-71-generic
% 0.08/0.37  % CPULimit : 300
% 0.08/0.37  % WCLimit  : 300
% 0.08/0.37  % DateTime : Sun Sep 27 00:30:45 UTC 2026
% 0.08/0.37  % CPUTime  : 
% 0.08/0.37  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.37  % Process 1100760 was started by sandbox on n015,
% 0.08/0.37  % Sun Sep 27 00:30:45 2026
% 0.08/0.37  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 227.52/169.70  
% 227.52/169.70  % SInE (scan): 1200 to sos (tol 1.5x), 299 to usable (tol 2.0x), 3340478 zapped, of 3341977 axioms (depth 3).
% 227.52/169.70  
% 227.52/169.70  % From the command line: assign(max_seconds, 300).
% 227.52/169.70  
% 227.52/169.70  % given #500 (F,wt=5): 2778 -tptp_9_317(c_tptpcol_15_26674,A).  [ur(1754,b,2690,a)].
% 227.52/169.70  
% 227.52/169.70  % given #1000 (T,wt=5): 3216 genlmt(c_tptp_member3403_mt,c_cyclistsmt).  [hyper(2340,a,1307,a,b,1617,a)].
% 227.52/169.70  
% 227.52/169.70  % SZS status Theorem for theBenchmark
% 227.52/169.70  
% 227.52/169.70  % Proof 1 at 4.14 (+ 3.24) seconds.
% 227.52/169.70  % Length of proof is 26.
% 227.52/169.70  % Level of proof is 8.
% 227.52/169.70  % Maximum clause weight is 118.000.
% 227.52/169.70  % Given clauses 1486.
% 227.52/169.70  
% 227.52/169.70  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------