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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR040+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n011.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 07:06:45 AM UTC 2026

% Result   : Theorem 0.12s 0.46s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   63 (  22 unt;   0 def)
%            Number of atoms       :  104 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   82 (  41   ~;  20   |;   1   &)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   22 (  21 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   39 (   0 sgn  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(just4,axiom,
    ! [OBJ] :
      ( firstordercollection(OBJ)
     => fixedordercollection(OBJ) ),
    file('theBenchmark.p',just4) ).

fof(just9,axiom,
    ! [OBJ] :
      ~ ( individual(OBJ)
        & collection(OBJ) ),
    file('theBenchmark.p',just9) ).

fof(just14,axiom,
    ! [OBJ] :
      ( fixedordercollection(OBJ)
     => collection(OBJ) ),
    file('theBenchmark.p',just14) ).

fof(just16,axiom,
    ! [OBJ] :
      ( tptpcol_0_0(OBJ)
     => individual(OBJ) ),
    file('theBenchmark.p',just16) ).

fof(just19,axiom,
    ! [OBJ] :
      ( tptpcol_1_65536(OBJ)
     => tptpcol_0_0(OBJ) ),
    file('theBenchmark.p',just19) ).

fof(just21,axiom,
    ! [OBJ] :
      ( tptpcol_2_98304(OBJ)
     => tptpcol_1_65536(OBJ) ),
    file('theBenchmark.p',just21) ).

fof(just23,axiom,
    ! [OBJ] :
      ( tptpcol_3_98305(OBJ)
     => tptpcol_2_98304(OBJ) ),
    file('theBenchmark.p',just23) ).

fof(just25,axiom,
    ! [OBJ] :
      ( tptpcol_4_106497(OBJ)
     => tptpcol_3_98305(OBJ) ),
    file('theBenchmark.p',just25) ).

fof(just27,axiom,
    ! [OBJ] :
      ( tptpcol_5_106498(OBJ)
     => tptpcol_4_106497(OBJ) ),
    file('theBenchmark.p',just27) ).

fof(just29,axiom,
    ! [OBJ] :
      ( tptpcol_6_108546(OBJ)
     => tptpcol_5_106498(OBJ) ),
    file('theBenchmark.p',just29) ).

fof(just31,axiom,
    ! [OBJ] :
      ( tptpcol_7_108547(OBJ)
     => tptpcol_6_108546(OBJ) ),
    file('theBenchmark.p',just31) ).

fof(just33,axiom,
    ! [OBJ] :
      ( tptpcol_8_109059(OBJ)
     => tptpcol_7_108547(OBJ) ),
    file('theBenchmark.p',just33) ).

fof(just35,axiom,
    ! [OBJ] :
      ( tptpcol_9_109060(OBJ)
     => tptpcol_8_109059(OBJ) ),
    file('theBenchmark.p',just35) ).

fof(just37,axiom,
    ! [OBJ] :
      ( tptpcol_10_109061(OBJ)
     => tptpcol_9_109060(OBJ) ),
    file('theBenchmark.p',just37) ).

fof(just39,axiom,
    ! [OBJ] :
      ( tptpcol_11_109125(OBJ)
     => tptpcol_10_109061(OBJ) ),
    file('theBenchmark.p',just39) ).

fof(just41,axiom,
    ! [OBJ] :
      ( tptpcol_12_109157(OBJ)
     => tptpcol_11_109125(OBJ) ),
    file('theBenchmark.p',just41) ).

fof(just43,axiom,
    ! [OBJ] :
      ( tptpcol_13_109173(OBJ)
     => tptpcol_12_109157(OBJ) ),
    file('theBenchmark.p',just43) ).

fof(just45,axiom,
    ! [OBJ] :
      ( tptpcol_14_109181(OBJ)
     => tptpcol_13_109173(OBJ) ),
    file('theBenchmark.p',just45) ).

fof(just47,axiom,
    ! [OBJ] :
      ( tptpcol_15_109185(OBJ)
     => tptpcol_14_109181(OBJ) ),
    file('theBenchmark.p',just47) ).

fof(query40,conjecture,
    ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm)),c_translation_14))
   => ~ tptpcol_15_109185(c_tptpcol_16_62187) ),
    file('theBenchmark.p',query40) ).

fof(query40_neg,negated_conjecture,
    ~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm)),c_translation_14))
     => ~ tptpcol_15_109185(c_tptpcol_16_62187) ),
    inference(assume_negation,[status(cth)],[query40]) ).

cnf(c_141,plain,
    ( fixedordercollection(A)
    | ~ firstordercollection(A) ),
    inference(clausify,[status(thm)],[just4]) ).

cnf(c_145,plain,
    ( ~ individual(A)
    | ~ collection(A) ),
    inference(clausify,[status(thm)],[just9]) ).

cnf(c_150,plain,
    ( collection(A)
    | ~ fixedordercollection(A) ),
    inference(clausify,[status(thm)],[just14]) ).

cnf(c_152,plain,
    ( individual(A)
    | ~ tptpcol_0_0(A) ),
    inference(clausify,[status(thm)],[just16]) ).

fof(just17,axiom,
    firstordercollection(c_tptpcol_16_62187),
    file('theBenchmark.p',just17) ).

cnf(c_153,plain,
    firstordercollection(c_tptpcol_16_62187),
    inference(clausify,[status(thm)],[just17]) ).

cnf(c_155,plain,
    ( tptpcol_0_0(A)
    | ~ tptpcol_1_65536(A) ),
    inference(clausify,[status(thm)],[just19]) ).

cnf(c_157,plain,
    ( tptpcol_1_65536(A)
    | ~ tptpcol_2_98304(A) ),
    inference(clausify,[status(thm)],[just21]) ).

cnf(c_159,plain,
    ( tptpcol_2_98304(A)
    | ~ tptpcol_3_98305(A) ),
    inference(clausify,[status(thm)],[just23]) ).

cnf(c_161,plain,
    ( tptpcol_3_98305(A)
    | ~ tptpcol_4_106497(A) ),
    inference(clausify,[status(thm)],[just25]) ).

cnf(c_163,plain,
    ( tptpcol_4_106497(A)
    | ~ tptpcol_5_106498(A) ),
    inference(clausify,[status(thm)],[just27]) ).

cnf(c_165,plain,
    ( tptpcol_5_106498(A)
    | ~ tptpcol_6_108546(A) ),
    inference(clausify,[status(thm)],[just29]) ).

cnf(c_167,plain,
    ( tptpcol_6_108546(A)
    | ~ tptpcol_7_108547(A) ),
    inference(clausify,[status(thm)],[just31]) ).

cnf(c_169,plain,
    ( tptpcol_7_108547(A)
    | ~ tptpcol_8_109059(A) ),
    inference(clausify,[status(thm)],[just33]) ).

cnf(c_171,plain,
    ( tptpcol_8_109059(A)
    | ~ tptpcol_9_109060(A) ),
    inference(clausify,[status(thm)],[just35]) ).

cnf(c_173,plain,
    ( tptpcol_9_109060(A)
    | ~ tptpcol_10_109061(A) ),
    inference(clausify,[status(thm)],[just37]) ).

cnf(c_175,plain,
    ( tptpcol_10_109061(A)
    | ~ tptpcol_11_109125(A) ),
    inference(clausify,[status(thm)],[just39]) ).

cnf(c_177,plain,
    ( tptpcol_11_109125(A)
    | ~ tptpcol_12_109157(A) ),
    inference(clausify,[status(thm)],[just41]) ).

cnf(c_179,plain,
    ( tptpcol_12_109157(A)
    | ~ tptpcol_13_109173(A) ),
    inference(clausify,[status(thm)],[just43]) ).

cnf(c_181,plain,
    ( tptpcol_13_109173(A)
    | ~ tptpcol_14_109181(A) ),
    inference(clausify,[status(thm)],[just45]) ).

cnf(c_183,plain,
    ( tptpcol_14_109181(A)
    | ~ tptpcol_15_109185(A) ),
    inference(clausify,[status(thm)],[just47]) ).

cnf(c_252,negated_conjecture,
    tptpcol_15_109185(c_tptpcol_16_62187),
    inference(clausify,[status(thm)],[query40_neg]) ).

cnf(c_258,negated_conjecture,
    tptpcol_14_109181(c_tptpcol_16_62187),
    inference(resolve,[status(thm)],[c_183,c_252]) ).

cnf(c_259,plain,
    fixedordercollection(c_tptpcol_16_62187),
    inference(resolve,[status(thm)],[c_141,c_153]) ).

cnf(c_288,plain,
    ( ~ individual(A)
    | ~ fixedordercollection(A) ),
    inference(resolve,[status(thm)],[c_150,c_145]) ).

cnf(c_291,plain,
    ~ individual(c_tptpcol_16_62187),
    inference(resolve,[status(thm)],[c_288,c_259]) ).

cnf(c_294,plain,
    ~ tptpcol_0_0(c_tptpcol_16_62187),
    inference(resolve,[status(thm)],[c_291,c_152]) ).

cnf(c_295,plain,
    tptpcol_13_109173(c_tptpcol_16_62187),
    inference(resolve,[status(thm)],[c_181,c_258]) ).

cnf(c_297,plain,
    ~ tptpcol_1_65536(c_tptpcol_16_62187),
    inference(resolve,[status(thm)],[c_155,c_294]) ).

cnf(c_319,plain,
    ~ tptpcol_2_98304(c_tptpcol_16_62187),
    inference(resolve,[status(thm)],[c_157,c_297]) ).

cnf(c_320,plain,
    ~ tptpcol_3_98305(c_tptpcol_16_62187),
    inference(resolve,[status(thm)],[c_319,c_159]) ).

cnf(c_346,plain,
    ~ tptpcol_4_106497(c_tptpcol_16_62187),
    inference(resolve,[status(thm)],[c_161,c_320]) ).

cnf(c_347,plain,
    ~ tptpcol_5_106498(c_tptpcol_16_62187),
    inference(resolve,[status(thm)],[c_163,c_346]) ).

cnf(c_348,plain,
    ~ tptpcol_6_108546(c_tptpcol_16_62187),
    inference(resolve,[status(thm)],[c_347,c_165]) ).

cnf(c_360,plain,
    ~ tptpcol_7_108547(c_tptpcol_16_62187),
    inference(resolve,[status(thm)],[c_167,c_348]) ).

cnf(c_368,plain,
    ~ tptpcol_8_109059(c_tptpcol_16_62187),
    inference(resolve,[status(thm)],[c_169,c_360]) ).

cnf(c_369,plain,
    ~ tptpcol_9_109060(c_tptpcol_16_62187),
    inference(resolve,[status(thm)],[c_368,c_171]) ).

cnf(c_415,plain,
    ~ tptpcol_10_109061(c_tptpcol_16_62187),
    inference(resolve,[status(thm)],[c_173,c_369]) ).

cnf(c_422,plain,
    ~ tptpcol_11_109125(c_tptpcol_16_62187),
    inference(resolve,[status(thm)],[c_175,c_415]) ).

cnf(c_423,plain,
    ~ tptpcol_12_109157(c_tptpcol_16_62187),
    inference(resolve,[status(thm)],[c_422,c_177]) ).

cnf(c_431,plain,
    ~ tptpcol_13_109173(c_tptpcol_16_62187),
    inference(resolve,[status(thm)],[c_179,c_423]) ).

cnf(c_430,plain,
    $false,
    inference(resolve,[status(thm)],[c_295,c_431]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR040+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38  % Computer : n011.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 00:09:44 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.39  % Process 1846964 was started by sandbox2 on n011,
% 0.12/0.39  % Sun Sep 27 00:09:44 2026
% 0.12/0.39  % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/0.41  
% 0.12/0.41  % From the command line: assign(max_seconds, 300).
% 0.12/0.41  
% 0.12/0.41  % SInE: 122 to sos, 23 to usable, of 145 axioms (tolerance 2.00, depth 0 fixpoint).
% 0.12/0.46  
% 0.12/0.46  % SZS status Theorem for theBenchmark
% 0.12/0.46  
% 0.12/0.46  % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.12/0.46  % Length of proof is 60.
% 0.12/0.46  % Level of proof is 17.
% 0.12/0.46  % Maximum clause weight is 1009.000.
% 0.12/0.46  % Given clauses 171.
% 0.12/0.46  
% 0.12/0.46  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------