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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR040+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n018.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 : Tue Sep 29 09:44:32 AM UTC 2026

% Result   : Theorem 0.20s 0.26s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  100 (  24 unt;   0 def)
%            Number of atoms       :  176 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  148 (  72   ~;  54   |;   2   &)
%                                         (   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   :   73 (  73   !;   0   ?)

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

fof(f9,axiom,
    ! [X0] :
      ~ ( collection(X0)
        & individual(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] :
      ( fixedordercollection(X0)
      | ~ firstordercollection(X0) ),
    inference(ennf_transformation,[],[f4]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f407,plain,
    ! [X0] :
      ( ~ fixedordercollection(X0)
      | firstordercollection(X0) ),
    inference(consistent_polarity_flipping,[],[f276]) ).

fof(f408,plain,
    ! [X0] :
      ( individual(X0)
      | collection(X0) ),
    inference(consistent_polarity_flipping,[],[f281]) ).

fof(f409,plain,
    ! [X0] :
      ( ~ collection(X0)
      | fixedordercollection(X0) ),
    inference(consistent_polarity_flipping,[],[f286]) ).

fof(f410,plain,
    ! [X0] :
      ( tptpcol_0_0(X0)
      | ~ individual(X0) ),
    inference(consistent_polarity_flipping,[],[f288]) ).

fof(f411,plain,
    ~ firstordercollection(c_tptpcol_16_62187),
    inference(consistent_polarity_flipping,[],[f289]) ).

fof(f412,plain,
    ! [X0] :
      ( tptpcol_1_65536(X0)
      | ~ tptpcol_0_0(X0) ),
    inference(consistent_polarity_flipping,[],[f291]) ).

fof(f413,plain,
    ! [X0] :
      ( tptpcol_2_98304(X0)
      | ~ tptpcol_1_65536(X0) ),
    inference(consistent_polarity_flipping,[],[f293]) ).

fof(f414,plain,
    ! [X0] :
      ( ~ tptpcol_3_98305(X0)
      | ~ tptpcol_2_98304(X0) ),
    inference(consistent_polarity_flipping,[],[f295]) ).

fof(f415,plain,
    ! [X0] :
      ( tptpcol_5_106498(X0)
      | tptpcol_4_106497(X0) ),
    inference(consistent_polarity_flipping,[],[f299]) ).

fof(f416,plain,
    ! [X0] :
      ( tptpcol_6_108546(X0)
      | ~ tptpcol_5_106498(X0) ),
    inference(consistent_polarity_flipping,[],[f301]) ).

fof(f417,plain,
    ! [X0] :
      ( ~ tptpcol_7_108547(X0)
      | ~ tptpcol_6_108546(X0) ),
    inference(consistent_polarity_flipping,[],[f303]) ).

fof(f418,plain,
    ! [X0] :
      ( tptpcol_8_109059(X0)
      | tptpcol_7_108547(X0) ),
    inference(consistent_polarity_flipping,[],[f305]) ).

fof(f419,plain,
    ! [X0] :
      ( tptpcol_9_109060(X0)
      | ~ tptpcol_8_109059(X0) ),
    inference(consistent_polarity_flipping,[],[f307]) ).

fof(f420,plain,
    ! [X0] :
      ( tptpcol_10_109061(X0)
      | ~ tptpcol_9_109060(X0) ),
    inference(consistent_polarity_flipping,[],[f309]) ).

fof(f421,plain,
    ! [X0] :
      ( tptpcol_11_109125(X0)
      | ~ tptpcol_10_109061(X0) ),
    inference(consistent_polarity_flipping,[],[f311]) ).

fof(f422,plain,
    ! [X0] :
      ( tptpcol_12_109157(X0)
      | ~ tptpcol_11_109125(X0) ),
    inference(consistent_polarity_flipping,[],[f313]) ).

fof(f423,plain,
    ! [X0] :
      ( ~ tptpcol_13_109173(X0)
      | ~ tptpcol_12_109157(X0) ),
    inference(consistent_polarity_flipping,[],[f315]) ).

fof(f476,plain,
    tptpcol_14_109181(c_tptpcol_16_62187),
    inference(resolution,[],[f319,f406]) ).

fof(f477,plain,
    tptpcol_13_109173(c_tptpcol_16_62187),
    inference(resolution,[],[f476,f317]) ).

fof(f478,plain,
    ~ tptpcol_12_109157(c_tptpcol_16_62187),
    inference(resolution,[],[f423,f477]) ).

fof(f479,plain,
    ~ tptpcol_11_109125(c_tptpcol_16_62187),
    inference(resolution,[],[f478,f422]) ).

fof(f482,plain,
    ~ tptpcol_10_109061(c_tptpcol_16_62187),
    inference(resolution,[],[f479,f421]) ).

fof(f484,plain,
    ~ tptpcol_9_109060(c_tptpcol_16_62187),
    inference(resolution,[],[f482,f420]) ).

fof(f485,plain,
    ~ tptpcol_8_109059(c_tptpcol_16_62187),
    inference(resolution,[],[f484,f419]) ).

fof(f487,plain,
    tptpcol_7_108547(c_tptpcol_16_62187),
    inference(resolution,[],[f485,f418]) ).

fof(f489,plain,
    ~ tptpcol_6_108546(c_tptpcol_16_62187),
    inference(resolution,[],[f487,f417]) ).

fof(f490,plain,
    ~ tptpcol_5_106498(c_tptpcol_16_62187),
    inference(resolution,[],[f489,f416]) ).

fof(f497,plain,
    tptpcol_4_106497(c_tptpcol_16_62187),
    inference(resolution,[],[f490,f415]) ).

fof(f499,plain,
    tptpcol_3_98305(c_tptpcol_16_62187),
    inference(resolution,[],[f497,f297]) ).

fof(f508,plain,
    ~ tptpcol_2_98304(c_tptpcol_16_62187),
    inference(resolution,[],[f499,f414]) ).

fof(f509,plain,
    ~ tptpcol_1_65536(c_tptpcol_16_62187),
    inference(resolution,[],[f508,f413]) ).

fof(f510,plain,
    ~ tptpcol_0_0(c_tptpcol_16_62187),
    inference(resolution,[],[f509,f412]) ).

fof(f512,plain,
    ~ individual(c_tptpcol_16_62187),
    inference(resolution,[],[f510,f410]) ).

fof(f516,plain,
    collection(c_tptpcol_16_62187),
    inference(resolution,[],[f512,f408]) ).

fof(f518,plain,
    fixedordercollection(c_tptpcol_16_62187),
    inference(resolution,[],[f516,f409]) ).

fof(f519,plain,
    firstordercollection(c_tptpcol_16_62187),
    inference(resolution,[],[f518,f407]) ).

fof(f520,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f519,f411]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR040+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19  % Computer : n018.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 22:16:40 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22  Running first-order model finding
% 0.09/0.22  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.26  % (3853854)Will run a generic schedule for satisfiability detection.
% 0.20/0.26  % (3853870)% WARNING: option uhcvi not known.
% 0.20/0.26  % (3853870)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3685287810:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.26  % (3853870) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3853854-3853870"...
% 0.20/0.26  % (3853870)...printing done.
% 0.20/0.26  % (3853870)Refutation found. Thanks to Tanya!
% 0.20/0.26  % SZS status Theorem for theBenchmark
% 0.20/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27  % (3853870)------------------------------
% 0.20/0.27  % (3853870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27  % (3853870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27  % (3853870)CaDiCaL version: 2.1.3
% 0.20/0.27  % (3853870)Termination reason: Refutation
% 0.20/0.27  % (3853870)Time elapsed: 0.003 s
% 0.20/0.27  % (3853870)Peak memory usage: 12 MB
% 0.20/0.27  % (3853870)Instructions burned: 6 (million)
% 0.20/0.27  % (3853854)Success in time 0.03 s
% 0.20/0.27  % Vampire exiting
%------------------------------------------------------------------------------