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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : CSR040+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n001.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 : Fri Sep 25 01:10:06 PM UTC 2026

% Result   : Theorem 2.75s 6.28s
% Output   : CNFRefutation 2.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  154 (  18 unt;   0 def)
%            Number of atoms       :  290 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  260 ( 124   ~; 114   |;   2   &)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            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   :  133 (   0 sgn 133   !;   0   ?;  76   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0] :
      ( firstordercollection(X0)
     => fixedordercollection(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just4) ).

fof(f9,axiom,
    ! [X0] :
      ~ ( individual(X0)
        & collection(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).

fof(f14,axiom,
    ! [X0] :
      ( fixedordercollection(X0)
     => collection(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).

fof(f16,axiom,
    ! [X0] :
      ( tptpcol_0_0(X0)
     => individual(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just16) ).

fof(f17,axiom,
    firstordercollection(c_tptpcol_16_62187),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just17) ).

fof(f19,axiom,
    ! [X0] :
      ( tptpcol_1_65536(X0)
     => tptpcol_0_0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just19) ).

fof(f21,axiom,
    ! [X0] :
      ( tptpcol_2_98304(X0)
     => tptpcol_1_65536(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just21) ).

fof(f23,axiom,
    ! [X0] :
      ( tptpcol_3_98305(X0)
     => tptpcol_2_98304(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just23) ).

fof(f25,axiom,
    ! [X0] :
      ( tptpcol_4_106497(X0)
     => tptpcol_3_98305(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just25) ).

fof(f27,axiom,
    ! [X0] :
      ( tptpcol_5_106498(X0)
     => tptpcol_4_106497(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just27) ).

fof(f29,axiom,
    ! [X0] :
      ( tptpcol_6_108546(X0)
     => tptpcol_5_106498(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).

fof(f31,axiom,
    ! [X0] :
      ( tptpcol_7_108547(X0)
     => tptpcol_6_108546(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).

fof(f33,axiom,
    ! [X0] :
      ( tptpcol_8_109059(X0)
     => tptpcol_7_108547(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just33) ).

fof(f35,axiom,
    ! [X0] :
      ( tptpcol_9_109060(X0)
     => tptpcol_8_109059(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just35) ).

fof(f37,axiom,
    ! [X0] :
      ( tptpcol_10_109061(X0)
     => tptpcol_9_109060(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just37) ).

fof(f39,axiom,
    ! [X0] :
      ( tptpcol_11_109125(X0)
     => tptpcol_10_109061(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just39) ).

fof(f41,axiom,
    ! [X0] :
      ( tptpcol_12_109157(X0)
     => tptpcol_11_109125(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just41) ).

fof(f43,axiom,
    ! [X0] :
      ( tptpcol_13_109173(X0)
     => tptpcol_12_109157(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just43) ).

fof(f45,axiom,
    ! [X0] :
      ( tptpcol_14_109181(X0)
     => tptpcol_13_109173(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just45) ).

fof(f47,axiom,
    ! [X0] :
      ( tptpcol_15_109185(X0)
     => tptpcol_14_109181(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just47) ).

fof(f146,conjecture,
    ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm)),c_translation_14))
   => ~ tptpcol_15_109185(c_tptpcol_16_62187) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query40) ).

fof(f147,negated_conjecture,
    ~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm)),c_translation_14))
     => ~ tptpcol_15_109185(c_tptpcol_16_62187) ),
    inference(negated_conjecture,[status(cth)],[f146]) ).

fof(f161,plain,
    ! [X0] :
      ( ~ firstordercollection(X0)
      | fixedordercollection(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f162,plain,
    ! [X0] :
      ( ~ individual(X0)
      | ~ collection(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f163,plain,
    ! [X0] :
      ( ~ fixedordercollection(X0)
      | collection(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f164,plain,
    ! [X0] :
      ( ~ tptpcol_0_0(X0)
      | individual(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f165,plain,
    ! [X0] :
      ( ~ tptpcol_1_65536(X0)
      | tptpcol_0_0(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f166,plain,
    ! [X0] :
      ( ~ tptpcol_2_98304(X0)
      | tptpcol_1_65536(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f167,plain,
    ! [X0] :
      ( ~ tptpcol_3_98305(X0)
      | tptpcol_2_98304(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f168,plain,
    ! [X0] :
      ( ~ tptpcol_4_106497(X0)
      | tptpcol_3_98305(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f169,plain,
    ! [X0] :
      ( ~ tptpcol_5_106498(X0)
      | tptpcol_4_106497(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f170,plain,
    ! [X0] :
      ( ~ tptpcol_6_108546(X0)
      | tptpcol_5_106498(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f171,plain,
    ! [X0] :
      ( ~ tptpcol_7_108547(X0)
      | tptpcol_6_108546(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f172,plain,
    ! [X0] :
      ( ~ tptpcol_8_109059(X0)
      | tptpcol_7_108547(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f173,plain,
    ! [X0] :
      ( ~ tptpcol_9_109060(X0)
      | tptpcol_8_109059(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f174,plain,
    ! [X0] :
      ( ~ tptpcol_10_109061(X0)
      | tptpcol_9_109060(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f175,plain,
    ! [X0] :
      ( ~ tptpcol_11_109125(X0)
      | tptpcol_10_109061(X0) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f176,plain,
    ! [X0] :
      ( ~ tptpcol_12_109157(X0)
      | tptpcol_11_109125(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f177,plain,
    ! [X0] :
      ( ~ tptpcol_13_109173(X0)
      | tptpcol_12_109157(X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f178,plain,
    ! [X0] :
      ( ~ tptpcol_14_109181(X0)
      | tptpcol_13_109173(X0) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f179,plain,
    ! [X0] :
      ( ~ tptpcol_15_109185(X0)
      | tptpcol_14_109181(X0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f272,plain,
    ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm)),c_translation_14))
    & tptpcol_15_109185(c_tptpcol_16_62187) ),
    inference(ennf_transformation,[],[f147]) ).

fof(f276,plain,
    ! [X0] :
      ( ~ firstordercollection(X0)
      | fixedordercollection(X0) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f281,plain,
    ! [X0] :
      ( ~ individual(X0)
      | ~ collection(X0) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f286,plain,
    ! [X0] :
      ( ~ fixedordercollection(X0)
      | collection(X0) ),
    inference(cnf_transformation,[],[f163]) ).

fof(f288,plain,
    ! [X0] :
      ( ~ tptpcol_0_0(X0)
      | individual(X0) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f289,plain,
    firstordercollection(c_tptpcol_16_62187),
    inference(cnf_transformation,[],[f17]) ).

fof(f291,plain,
    ! [X0] :
      ( ~ tptpcol_1_65536(X0)
      | tptpcol_0_0(X0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f293,plain,
    ! [X0] :
      ( ~ tptpcol_2_98304(X0)
      | tptpcol_1_65536(X0) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f295,plain,
    ! [X0] :
      ( ~ tptpcol_3_98305(X0)
      | tptpcol_2_98304(X0) ),
    inference(cnf_transformation,[],[f167]) ).

fof(f297,plain,
    ! [X0] :
      ( ~ tptpcol_4_106497(X0)
      | tptpcol_3_98305(X0) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f299,plain,
    ! [X0] :
      ( ~ tptpcol_5_106498(X0)
      | tptpcol_4_106497(X0) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f301,plain,
    ! [X0] :
      ( ~ tptpcol_6_108546(X0)
      | tptpcol_5_106498(X0) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f303,plain,
    ! [X0] :
      ( ~ tptpcol_7_108547(X0)
      | tptpcol_6_108546(X0) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f305,plain,
    ! [X0] :
      ( ~ tptpcol_8_109059(X0)
      | tptpcol_7_108547(X0) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f307,plain,
    ! [X0] :
      ( ~ tptpcol_9_109060(X0)
      | tptpcol_8_109059(X0) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f309,plain,
    ! [X0] :
      ( ~ tptpcol_10_109061(X0)
      | tptpcol_9_109060(X0) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f311,plain,
    ! [X0] :
      ( ~ tptpcol_11_109125(X0)
      | tptpcol_10_109061(X0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f313,plain,
    ! [X0] :
      ( ~ tptpcol_12_109157(X0)
      | tptpcol_11_109125(X0) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f315,plain,
    ! [X0] :
      ( ~ tptpcol_13_109173(X0)
      | tptpcol_12_109157(X0) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f317,plain,
    ! [X0] :
      ( ~ tptpcol_14_109181(X0)
      | tptpcol_13_109173(X0) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f319,plain,
    ! [X0] :
      ( ~ tptpcol_15_109185(X0)
      | tptpcol_14_109181(X0) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f406,plain,
    tptpcol_15_109185(c_tptpcol_16_62187),
    inference(cnf_transformation,[],[f272]) ).

tcf(c_52,plain,
    ! [X0: $i] :
      ( fixedordercollection(X0)
      | ~ firstordercollection(X0) ),
    inference(cnf_transformation,[],[f276]) ).

tcf(c_57,plain,
    ! [X0: $i] :
      ( ~ individual(X0)
      | ~ collection(X0) ),
    inference(cnf_transformation,[],[f281]) ).

tcf(c_62,plain,
    ! [X0: $i] :
      ( collection(X0)
      | ~ fixedordercollection(X0) ),
    inference(cnf_transformation,[],[f286]) ).

tcf(c_64,plain,
    ! [X0: $i] :
      ( individual(X0)
      | ~ tptpcol_0_0(X0) ),
    inference(cnf_transformation,[],[f288]) ).

tcf(c_65,plain,
    firstordercollection(c_tptpcol_16_62187),
    inference(cnf_transformation,[],[f289]) ).

tcf(c_67,plain,
    ! [X0: $i] :
      ( tptpcol_0_0(X0)
      | ~ tptpcol_1_65536(X0) ),
    inference(cnf_transformation,[],[f291]) ).

tcf(c_69,plain,
    ! [X0: $i] :
      ( tptpcol_1_65536(X0)
      | ~ tptpcol_2_98304(X0) ),
    inference(cnf_transformation,[],[f293]) ).

tcf(c_71,plain,
    ! [X0: $i] :
      ( tptpcol_2_98304(X0)
      | ~ tptpcol_3_98305(X0) ),
    inference(cnf_transformation,[],[f295]) ).

tcf(c_73,plain,
    ! [X0: $i] :
      ( tptpcol_3_98305(X0)
      | ~ tptpcol_4_106497(X0) ),
    inference(cnf_transformation,[],[f297]) ).

tcf(c_75,plain,
    ! [X0: $i] :
      ( tptpcol_4_106497(X0)
      | ~ tptpcol_5_106498(X0) ),
    inference(cnf_transformation,[],[f299]) ).

tcf(c_77,plain,
    ! [X0: $i] :
      ( tptpcol_5_106498(X0)
      | ~ tptpcol_6_108546(X0) ),
    inference(cnf_transformation,[],[f301]) ).

tcf(c_79,plain,
    ! [X0: $i] :
      ( tptpcol_6_108546(X0)
      | ~ tptpcol_7_108547(X0) ),
    inference(cnf_transformation,[],[f303]) ).

tcf(c_81,plain,
    ! [X0: $i] :
      ( tptpcol_7_108547(X0)
      | ~ tptpcol_8_109059(X0) ),
    inference(cnf_transformation,[],[f305]) ).

tcf(c_83,plain,
    ! [X0: $i] :
      ( tptpcol_8_109059(X0)
      | ~ tptpcol_9_109060(X0) ),
    inference(cnf_transformation,[],[f307]) ).

tcf(c_85,plain,
    ! [X0: $i] :
      ( tptpcol_9_109060(X0)
      | ~ tptpcol_10_109061(X0) ),
    inference(cnf_transformation,[],[f309]) ).

tcf(c_87,plain,
    ! [X0: $i] :
      ( tptpcol_10_109061(X0)
      | ~ tptpcol_11_109125(X0) ),
    inference(cnf_transformation,[],[f311]) ).

tcf(c_89,plain,
    ! [X0: $i] :
      ( tptpcol_11_109125(X0)
      | ~ tptpcol_12_109157(X0) ),
    inference(cnf_transformation,[],[f313]) ).

tcf(c_91,plain,
    ! [X0: $i] :
      ( tptpcol_12_109157(X0)
      | ~ tptpcol_13_109173(X0) ),
    inference(cnf_transformation,[],[f315]) ).

tcf(c_93,plain,
    ! [X0: $i] :
      ( tptpcol_13_109173(X0)
      | ~ tptpcol_14_109181(X0) ),
    inference(cnf_transformation,[],[f317]) ).

tcf(c_95,plain,
    ! [X0: $i] :
      ( tptpcol_14_109181(X0)
      | ~ tptpcol_15_109185(X0) ),
    inference(cnf_transformation,[],[f319]) ).

tcf(c_181,negated_conjecture,
    tptpcol_15_109185(c_tptpcol_16_62187),
    inference(cnf_transformation,[],[f406]) ).

tcf(c_344,plain,
    ! [X0: $i] :
      ( collection(X0)
      | ~ fixedordercollection(X0) ),
    inference(prop_impl_just,[status(thm)],[c_62]) ).

tcf(c_346,plain,
    ! [X0: $i] :
      ( fixedordercollection(X0)
      | ~ firstordercollection(X0) ),
    inference(prop_impl_just,[status(thm)],[c_52]) ).

tcf(c_348,plain,
    ! [X0: $i] :
      ( ~ individual(X0)
      | ~ collection(X0) ),
    inference(prop_impl_just,[status(thm)],[c_57]) ).

tcf(c_360,plain,
    ! [X0: $i] :
      ( ~ tptpcol_0_0(X0)
      | individual(X0) ),
    inference(prop_impl_just,[status(thm)],[c_64]) ).

tcf(c_361,plain,
    ! [X0: $i] :
      ( individual(X0)
      | ~ tptpcol_0_0(X0) ),
    inference(renaming,[status(thm)],[c_360]) ).

tcf(c_366,plain,
    ! [X0: $i] :
      ( ~ tptpcol_1_65536(X0)
      | tptpcol_0_0(X0) ),
    inference(prop_impl_just,[status(thm)],[c_67]) ).

tcf(c_367,plain,
    ! [X0: $i] :
      ( tptpcol_0_0(X0)
      | ~ tptpcol_1_65536(X0) ),
    inference(renaming,[status(thm)],[c_366]) ).

tcf(c_370,plain,
    ! [X0: $i] :
      ( ~ tptpcol_2_98304(X0)
      | tptpcol_1_65536(X0) ),
    inference(prop_impl_just,[status(thm)],[c_69]) ).

tcf(c_371,plain,
    ! [X0: $i] :
      ( tptpcol_1_65536(X0)
      | ~ tptpcol_2_98304(X0) ),
    inference(renaming,[status(thm)],[c_370]) ).

tcf(c_374,plain,
    ! [X0: $i] :
      ( ~ tptpcol_3_98305(X0)
      | tptpcol_2_98304(X0) ),
    inference(prop_impl_just,[status(thm)],[c_71]) ).

tcf(c_375,plain,
    ! [X0: $i] :
      ( tptpcol_2_98304(X0)
      | ~ tptpcol_3_98305(X0) ),
    inference(renaming,[status(thm)],[c_374]) ).

tcf(c_378,plain,
    ! [X0: $i] :
      ( ~ tptpcol_4_106497(X0)
      | tptpcol_3_98305(X0) ),
    inference(prop_impl_just,[status(thm)],[c_73]) ).

tcf(c_379,plain,
    ! [X0: $i] :
      ( tptpcol_3_98305(X0)
      | ~ tptpcol_4_106497(X0) ),
    inference(renaming,[status(thm)],[c_378]) ).

tcf(c_382,plain,
    ! [X0: $i] :
      ( ~ tptpcol_5_106498(X0)
      | tptpcol_4_106497(X0) ),
    inference(prop_impl_just,[status(thm)],[c_75]) ).

tcf(c_383,plain,
    ! [X0: $i] :
      ( tptpcol_4_106497(X0)
      | ~ tptpcol_5_106498(X0) ),
    inference(renaming,[status(thm)],[c_382]) ).

tcf(c_386,plain,
    ! [X0: $i] :
      ( ~ tptpcol_6_108546(X0)
      | tptpcol_5_106498(X0) ),
    inference(prop_impl_just,[status(thm)],[c_77]) ).

tcf(c_387,plain,
    ! [X0: $i] :
      ( tptpcol_5_106498(X0)
      | ~ tptpcol_6_108546(X0) ),
    inference(renaming,[status(thm)],[c_386]) ).

tcf(c_390,plain,
    ! [X0: $i] :
      ( ~ tptpcol_7_108547(X0)
      | tptpcol_6_108546(X0) ),
    inference(prop_impl_just,[status(thm)],[c_79]) ).

tcf(c_391,plain,
    ! [X0: $i] :
      ( tptpcol_6_108546(X0)
      | ~ tptpcol_7_108547(X0) ),
    inference(renaming,[status(thm)],[c_390]) ).

tcf(c_394,plain,
    ! [X0: $i] :
      ( ~ tptpcol_8_109059(X0)
      | tptpcol_7_108547(X0) ),
    inference(prop_impl_just,[status(thm)],[c_81]) ).

tcf(c_395,plain,
    ! [X0: $i] :
      ( tptpcol_7_108547(X0)
      | ~ tptpcol_8_109059(X0) ),
    inference(renaming,[status(thm)],[c_394]) ).

tcf(c_398,plain,
    ! [X0: $i] :
      ( ~ tptpcol_9_109060(X0)
      | tptpcol_8_109059(X0) ),
    inference(prop_impl_just,[status(thm)],[c_83]) ).

tcf(c_399,plain,
    ! [X0: $i] :
      ( tptpcol_8_109059(X0)
      | ~ tptpcol_9_109060(X0) ),
    inference(renaming,[status(thm)],[c_398]) ).

tcf(c_402,plain,
    ! [X0: $i] :
      ( ~ tptpcol_10_109061(X0)
      | tptpcol_9_109060(X0) ),
    inference(prop_impl_just,[status(thm)],[c_85]) ).

tcf(c_403,plain,
    ! [X0: $i] :
      ( tptpcol_9_109060(X0)
      | ~ tptpcol_10_109061(X0) ),
    inference(renaming,[status(thm)],[c_402]) ).

tcf(c_406,plain,
    ! [X0: $i] :
      ( ~ tptpcol_11_109125(X0)
      | tptpcol_10_109061(X0) ),
    inference(prop_impl_just,[status(thm)],[c_87]) ).

tcf(c_407,plain,
    ! [X0: $i] :
      ( tptpcol_10_109061(X0)
      | ~ tptpcol_11_109125(X0) ),
    inference(renaming,[status(thm)],[c_406]) ).

tcf(c_410,plain,
    ! [X0: $i] :
      ( ~ tptpcol_12_109157(X0)
      | tptpcol_11_109125(X0) ),
    inference(prop_impl_just,[status(thm)],[c_89]) ).

tcf(c_411,plain,
    ! [X0: $i] :
      ( tptpcol_11_109125(X0)
      | ~ tptpcol_12_109157(X0) ),
    inference(renaming,[status(thm)],[c_410]) ).

tcf(c_414,plain,
    ! [X0: $i] :
      ( ~ tptpcol_13_109173(X0)
      | tptpcol_12_109157(X0) ),
    inference(prop_impl_just,[status(thm)],[c_91]) ).

tcf(c_415,plain,
    ! [X0: $i] :
      ( tptpcol_12_109157(X0)
      | ~ tptpcol_13_109173(X0) ),
    inference(renaming,[status(thm)],[c_414]) ).

tcf(c_418,plain,
    ! [X0: $i] :
      ( ~ tptpcol_14_109181(X0)
      | tptpcol_13_109173(X0) ),
    inference(prop_impl_just,[status(thm)],[c_93]) ).

tcf(c_419,plain,
    ! [X0: $i] :
      ( tptpcol_13_109173(X0)
      | ~ tptpcol_14_109181(X0) ),
    inference(renaming,[status(thm)],[c_418]) ).

tcf(c_422,plain,
    ! [X0: $i] :
      ( ~ tptpcol_15_109185(X0)
      | tptpcol_14_109181(X0) ),
    inference(prop_impl_just,[status(thm)],[c_95]) ).

tcf(c_423,plain,
    ! [X0: $i] :
      ( tptpcol_14_109181(X0)
      | ~ tptpcol_15_109185(X0) ),
    inference(renaming,[status(thm)],[c_422]) ).

tcf(c_1137,plain,
    fixedordercollection(c_tptpcol_16_62187),
    inference(resolution,[status(thm)],[c_346,c_65]) ).

tcf(c_1158,plain,
    tptpcol_14_109181(c_tptpcol_16_62187),
    inference(resolution,[status(thm)],[c_423,c_181]) ).

tcf(c_1183,plain,
    ! [X0: $i] :
      ( ~ tptpcol_0_0(X0)
      | ~ collection(X0) ),
    inference(resolution,[status(thm)],[c_361,c_348]) ).

tcf(c_1214,plain,
    ! [X0: $i] :
      ( tptpcol_0_0(X0)
      | ~ tptpcol_2_98304(X0) ),
    inference(resolution,[status(thm)],[c_371,c_367]) ).

tcf(c_1245,plain,
    ! [X0: $i] :
      ( tptpcol_2_98304(X0)
      | ~ tptpcol_4_106497(X0) ),
    inference(resolution,[status(thm)],[c_379,c_375]) ).

tcf(c_1276,plain,
    ! [X0: $i] :
      ( tptpcol_4_106497(X0)
      | ~ tptpcol_6_108546(X0) ),
    inference(resolution,[status(thm)],[c_387,c_383]) ).

tcf(c_1307,plain,
    ! [X0: $i] :
      ( tptpcol_6_108546(X0)
      | ~ tptpcol_8_109059(X0) ),
    inference(resolution,[status(thm)],[c_395,c_391]) ).

tcf(c_1338,plain,
    ! [X0: $i] :
      ( tptpcol_8_109059(X0)
      | ~ tptpcol_10_109061(X0) ),
    inference(resolution,[status(thm)],[c_403,c_399]) ).

tcf(c_1369,plain,
    ! [X0: $i] :
      ( tptpcol_10_109061(X0)
      | ~ tptpcol_12_109157(X0) ),
    inference(resolution,[status(thm)],[c_411,c_407]) ).

tcf(c_1400,plain,
    ! [X0: $i] :
      ( tptpcol_12_109157(X0)
      | ~ tptpcol_14_109181(X0) ),
    inference(resolution,[status(thm)],[c_419,c_415]) ).

tcf(c_1443,plain,
    collection(c_tptpcol_16_62187),
    inference(resolution,[status(thm)],[c_344,c_1137]) ).

tcf(c_2324,plain,
    ~ tptpcol_0_0(c_tptpcol_16_62187),
    inference(resolution,[status(thm)],[c_1183,c_1443]) ).

tcf(c_2460,plain,
    ! [X0: $i] :
      ( ~ tptpcol_2_98304(X0)
      | tptpcol_0_0(X0) ),
    inference(prop_impl_just,[status(thm)],[c_1214]) ).

tcf(c_2461,plain,
    ! [X0: $i] :
      ( tptpcol_0_0(X0)
      | ~ tptpcol_2_98304(X0) ),
    inference(renaming,[status(thm)],[c_2460]) ).

tcf(c_2468,plain,
    ! [X0: $i] :
      ( ~ tptpcol_4_106497(X0)
      | tptpcol_2_98304(X0) ),
    inference(prop_impl_just,[status(thm)],[c_1245]) ).

tcf(c_2469,plain,
    ! [X0: $i] :
      ( tptpcol_2_98304(X0)
      | ~ tptpcol_4_106497(X0) ),
    inference(renaming,[status(thm)],[c_2468]) ).

tcf(c_2476,plain,
    ! [X0: $i] :
      ( ~ tptpcol_6_108546(X0)
      | tptpcol_4_106497(X0) ),
    inference(prop_impl_just,[status(thm)],[c_1276]) ).

tcf(c_2477,plain,
    ! [X0: $i] :
      ( tptpcol_4_106497(X0)
      | ~ tptpcol_6_108546(X0) ),
    inference(renaming,[status(thm)],[c_2476]) ).

tcf(c_2484,plain,
    ! [X0: $i] :
      ( ~ tptpcol_8_109059(X0)
      | tptpcol_6_108546(X0) ),
    inference(prop_impl_just,[status(thm)],[c_1307]) ).

tcf(c_2485,plain,
    ! [X0: $i] :
      ( tptpcol_6_108546(X0)
      | ~ tptpcol_8_109059(X0) ),
    inference(renaming,[status(thm)],[c_2484]) ).

tcf(c_2492,plain,
    ! [X0: $i] :
      ( ~ tptpcol_10_109061(X0)
      | tptpcol_8_109059(X0) ),
    inference(prop_impl_just,[status(thm)],[c_1338]) ).

tcf(c_2493,plain,
    ! [X0: $i] :
      ( tptpcol_8_109059(X0)
      | ~ tptpcol_10_109061(X0) ),
    inference(renaming,[status(thm)],[c_2492]) ).

tcf(c_2500,plain,
    ! [X0: $i] :
      ( ~ tptpcol_12_109157(X0)
      | tptpcol_10_109061(X0) ),
    inference(prop_impl_just,[status(thm)],[c_1369]) ).

tcf(c_2501,plain,
    ! [X0: $i] :
      ( tptpcol_10_109061(X0)
      | ~ tptpcol_12_109157(X0) ),
    inference(renaming,[status(thm)],[c_2500]) ).

tcf(c_2508,plain,
    ! [X0: $i] :
      ( ~ tptpcol_14_109181(X0)
      | tptpcol_12_109157(X0) ),
    inference(prop_impl_just,[status(thm)],[c_1400]) ).

tcf(c_2509,plain,
    ! [X0: $i] :
      ( tptpcol_12_109157(X0)
      | ~ tptpcol_14_109181(X0) ),
    inference(renaming,[status(thm)],[c_2508]) ).

tcf(c_3860,plain,
    tptpcol_14_109181(c_tptpcol_16_62187),
    inference(demodulation,[status(thm)],[c_1158]) ).

tcf(c_3864,plain,
    tptpcol_12_109157(c_tptpcol_16_62187),
    inference(resolution,[status(thm)],[c_2509,c_3860]) ).

tcf(c_3865,plain,
    tptpcol_10_109061(c_tptpcol_16_62187),
    inference(resolution,[status(thm)],[c_3864,c_2501]) ).

tcf(c_3867,plain,
    tptpcol_8_109059(c_tptpcol_16_62187),
    inference(resolution,[status(thm)],[c_3865,c_2493]) ).

tcf(c_3870,plain,
    tptpcol_6_108546(c_tptpcol_16_62187),
    inference(resolution,[status(thm)],[c_3867,c_2485]) ).

tcf(c_3872,plain,
    tptpcol_4_106497(c_tptpcol_16_62187),
    inference(resolution,[status(thm)],[c_3870,c_2477]) ).

tcf(c_3873,plain,
    tptpcol_2_98304(c_tptpcol_16_62187),
    inference(resolution,[status(thm)],[c_3872,c_2469]) ).

tcf(c_3874,plain,
    tptpcol_0_0(c_tptpcol_16_62187),
    inference(resolution,[status(thm)],[c_3873,c_2461]) ).

tcf(c_3875,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_3874,c_2324]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR040+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.36  % Computer : n001.cluster.edu
% 0.09/5.36  % Model    : x86_64 x86_64
% 0.09/5.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36  % Memory   : 8046.5625MB
% 0.09/5.36  % OS       : Linux 6.8.0-71-generic
% 0.09/5.36  % CPULimit : 300
% 0.09/5.36  % WCLimit  : 300
% 0.09/5.36  % DateTime : Fri Sep 25 08:30:30 UTC 2026
% 0.09/5.37  % CPUTime  : 
% 0.09/5.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.41  Running first-order theorem proving
% 0.13/5.41  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/5.42  
% 0.13/5.42  % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.42  
% 0.13/5.42  % Detected problem language: tptp
% 0.13/5.43  % Proving...
% 2.75/6.28  % SZS status Started for theBenchmark.p
% 2.75/6.28  % SZS status Theorem for theBenchmark.p
% 2.75/6.28  
% 2.75/6.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.75/6.28  
% 2.75/6.28  % ------  iProver source info
% 2.75/6.28  
% 2.75/6.28  % git: date: 2026-07-19 20:42:38 +0200
% 2.75/6.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.75/6.28  % git: non_committed_changes: false
% 2.75/6.28  
% 2.75/6.28  % ------ Parsing...
% 2.75/6.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.75/6.28  
% 2.75/6.28  % ------ Preprocessing... sf_s  rm: 25 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 2.75/6.28  
% 2.75/6.28  % ------ Preprocessing...% ------  preprocesses with Option_epr_horn
% 2.75/6.28   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.75/6.28  % ------ Proving...
% 2.75/6.28  % ------ Problem Properties 
% 2.75/6.28  
% 2.75/6.28  % 
% 2.75/6.28  % clauses                               83
% 2.75/6.28  % conjectures                           0
% 2.75/6.28  % EPR                                   83
% 2.75/6.28  % Horn                                  83
% 2.75/6.28  % unary                                 25
% 2.75/6.28  % binary                                53
% 2.75/6.28  % lits                                  146
% 2.75/6.28  % lits eq                               0
% 2.75/6.28  % fd_pure                               0
% 2.75/6.28  % fd_pseudo                             0
% 2.75/6.28  % fd_cond                               0
% 2.75/6.28  % fd_pseudo_cond                        0
% 2.75/6.28  % AC symbols                            0
% 2.75/6.28  
% 2.75/6.28  % ------ Schedule EPR Horn non eq is on
% 2.75/6.28  
% 2.75/6.28  % ------ no conjectures: strip conj schedule 
% 2.75/6.28  
% 2.75/6.28  % ------ no equalities: superposition off 
% 2.75/6.28  
% 2.75/6.28  % ------ Option_epr_horn stripped conjectures Time Limit: Unbounded
% 2.75/6.28  
% 2.75/6.28  
% 2.75/6.28  % ------ 
% 2.75/6.28  % Current options:
% 2.75/6.28  % ------ 
% 2.75/6.28  
% 2.75/6.28  
% 2.75/6.28  % 
% 2.75/6.28  
% 2.75/6.28  % ------ Proving...
% 2.75/6.28  % 
% 2.75/6.28  
% 2.75/6.28  % SZS status Theorem for theBenchmark.p
% 2.75/6.28  
% 2.75/6.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.75/6.28  
% 2.75/6.28  
%------------------------------------------------------------------------------