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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR040+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n019.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 09:44:33 AM UTC 2026

% Result   : Theorem 0.21s 0.27s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   83 (  12 unt;   0 def)
%            Number of atoms       :  154 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  128 (  57   ~;  49   |;   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   :   68 (  68   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f50,axiom,
    ! [X0] :
      ( tptpcol_2_98304(X0)
     => tptpcol_1_65536(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_50) ).

fof(f69,axiom,
    ! [X0] :
      ( tptpcol_4_106497(X0)
     => tptpcol_3_98305(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_69) ).

fof(f96,axiom,
    ! [X0] :
      ( tptpcol_10_109061(X0)
     => tptpcol_9_109060(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_96) ).

fof(f114,axiom,
    ! [X0] :
      ( tptpcol_13_109173(X0)
     => tptpcol_12_109157(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_114) ).

fof(f117,axiom,
    ! [X0] :
      ( tptpcol_5_106498(X0)
     => tptpcol_4_106497(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_117) ).

fof(f124,axiom,
    ! [X0] :
      ( tptpcol_1_65536(X0)
     => tptpcol_0_0(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_124) ).

fof(f151,axiom,
    ! [X0] :
      ( fixedordercollection(X0)
     => collection(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_151) ).

fof(f185,axiom,
    ! [X0] :
      ( tptpcol_8_109059(X0)
     => tptpcol_7_108547(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_185) ).

fof(f205,axiom,
    ! [X0] :
      ( firstordercollection(X0)
     => fixedordercollection(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_205) ).

fof(f234,axiom,
    ! [X0] :
      ( tptpcol_3_98305(X0)
     => tptpcol_2_98304(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_234) ).

fof(f242,axiom,
    ! [X0] :
      ( tptpcol_9_109060(X0)
     => tptpcol_8_109059(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_242) ).

fof(f251,axiom,
    ! [X0] :
      ( tptpcol_14_109181(X0)
     => tptpcol_13_109173(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_251) ).

fof(f266,axiom,
    ! [X0] :
      ( tptpcol_15_109185(X0)
     => tptpcol_14_109181(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_266) ).

fof(f289,axiom,
    ! [X0] :
      ~ ( collection(X0)
        & individual(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_289) ).

fof(f341,axiom,
    ! [X0] :
      ( tptpcol_7_108547(X0)
     => tptpcol_6_108546(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_341) ).

fof(f343,axiom,
    ! [X0] :
      ( tptpcol_11_109125(X0)
     => tptpcol_10_109061(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_343) ).

fof(f360,axiom,
    ! [X0] :
      ( tptpcol_12_109157(X0)
     => tptpcol_11_109125(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_360) ).

fof(f445,axiom,
    ! [X0] :
      ( tptpcol_0_0(X0)
     => individual(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_445) ).

fof(f459,axiom,
    ! [X0] :
      ( tptpcol_6_108546(X0)
     => tptpcol_5_106498(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_459) ).

fof(f475,axiom,
    firstordercollection(c_tptpcol_16_62187),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_475) ).

fof(f1132,conjecture,
    ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm)),c_translation_14))
   => ~ tptpcol_15_109185(c_tptpcol_16_62187) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query90) ).

fof(f1133,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)],[f1132]) ).

fof(f1250,plain,
    ! [X0] :
      ( tptpcol_1_65536(X0)
      | ~ tptpcol_2_98304(X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f1257,plain,
    ! [X0] :
      ( tptpcol_3_98305(X0)
      | ~ tptpcol_4_106497(X0) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f1270,plain,
    ! [X0] :
      ( tptpcol_9_109060(X0)
      | ~ tptpcol_10_109061(X0) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f1281,plain,
    ! [X0] :
      ( tptpcol_12_109157(X0)
      | ~ tptpcol_13_109173(X0) ),
    inference(ennf_transformation,[],[f114]) ).

fof(f1282,plain,
    ! [X0] :
      ( tptpcol_4_106497(X0)
      | ~ tptpcol_5_106498(X0) ),
    inference(ennf_transformation,[],[f117]) ).

fof(f1286,plain,
    ! [X0] :
      ( tptpcol_0_0(X0)
      | ~ tptpcol_1_65536(X0) ),
    inference(ennf_transformation,[],[f124]) ).

fof(f1296,plain,
    ! [X0] :
      ( collection(X0)
      | ~ fixedordercollection(X0) ),
    inference(ennf_transformation,[],[f151]) ).

fof(f1316,plain,
    ! [X0] :
      ( tptpcol_7_108547(X0)
      | ~ tptpcol_8_109059(X0) ),
    inference(ennf_transformation,[],[f185]) ).

fof(f1327,plain,
    ! [X0] :
      ( fixedordercollection(X0)
      | ~ firstordercollection(X0) ),
    inference(ennf_transformation,[],[f205]) ).

fof(f1339,plain,
    ! [X0] :
      ( tptpcol_2_98304(X0)
      | ~ tptpcol_3_98305(X0) ),
    inference(ennf_transformation,[],[f234]) ).

fof(f1343,plain,
    ! [X0] :
      ( tptpcol_8_109059(X0)
      | ~ tptpcol_9_109060(X0) ),
    inference(ennf_transformation,[],[f242]) ).

fof(f1346,plain,
    ! [X0] :
      ( tptpcol_13_109173(X0)
      | ~ tptpcol_14_109181(X0) ),
    inference(ennf_transformation,[],[f251]) ).

fof(f1352,plain,
    ! [X0] :
      ( tptpcol_14_109181(X0)
      | ~ tptpcol_15_109185(X0) ),
    inference(ennf_transformation,[],[f266]) ).

fof(f1362,plain,
    ! [X0] :
      ( ~ collection(X0)
      | ~ individual(X0) ),
    inference(ennf_transformation,[],[f289]) ).

fof(f1388,plain,
    ! [X0] :
      ( tptpcol_6_108546(X0)
      | ~ tptpcol_7_108547(X0) ),
    inference(ennf_transformation,[],[f341]) ).

fof(f1389,plain,
    ! [X0] :
      ( tptpcol_10_109061(X0)
      | ~ tptpcol_11_109125(X0) ),
    inference(ennf_transformation,[],[f343]) ).

fof(f1396,plain,
    ! [X0] :
      ( tptpcol_11_109125(X0)
      | ~ tptpcol_12_109157(X0) ),
    inference(ennf_transformation,[],[f360]) ).

fof(f1436,plain,
    ! [X0] :
      ( individual(X0)
      | ~ tptpcol_0_0(X0) ),
    inference(ennf_transformation,[],[f445]) ).

fof(f1441,plain,
    ! [X0] :
      ( tptpcol_5_106498(X0)
      | ~ tptpcol_6_108546(X0) ),
    inference(ennf_transformation,[],[f459]) ).

fof(f2022,plain,
    ( tptpcol_15_109185(c_tptpcol_16_62187)
    & mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm)),c_translation_14)) ),
    inference(ennf_transformation,[],[f1133]) ).

fof(f2072,plain,
    ! [X0] :
      ( ~ tptpcol_2_98304(X0)
      | tptpcol_1_65536(X0) ),
    inference(cnf_transformation,[],[f1250]) ).

fof(f2090,plain,
    ! [X0] :
      ( tptpcol_3_98305(X0)
      | ~ tptpcol_4_106497(X0) ),
    inference(cnf_transformation,[],[f1257]) ).

fof(f2117,plain,
    ! [X0] :
      ( tptpcol_9_109060(X0)
      | ~ tptpcol_10_109061(X0) ),
    inference(cnf_transformation,[],[f1270]) ).

fof(f2135,plain,
    ! [X0] :
      ( tptpcol_12_109157(X0)
      | ~ tptpcol_13_109173(X0) ),
    inference(cnf_transformation,[],[f1281]) ).

fof(f2138,plain,
    ! [X0] :
      ( ~ tptpcol_5_106498(X0)
      | tptpcol_4_106497(X0) ),
    inference(cnf_transformation,[],[f1282]) ).

fof(f2145,plain,
    ! [X0] :
      ( tptpcol_0_0(X0)
      | ~ tptpcol_1_65536(X0) ),
    inference(cnf_transformation,[],[f1286]) ).

fof(f2172,plain,
    ! [X0] :
      ( ~ fixedordercollection(X0)
      | collection(X0) ),
    inference(cnf_transformation,[],[f1296]) ).

fof(f2206,plain,
    ! [X0] :
      ( tptpcol_7_108547(X0)
      | ~ tptpcol_8_109059(X0) ),
    inference(cnf_transformation,[],[f1316]) ).

fof(f2226,plain,
    ! [X0] :
      ( fixedordercollection(X0)
      | ~ firstordercollection(X0) ),
    inference(cnf_transformation,[],[f1327]) ).

fof(f2255,plain,
    ! [X0] :
      ( tptpcol_2_98304(X0)
      | ~ tptpcol_3_98305(X0) ),
    inference(cnf_transformation,[],[f1339]) ).

fof(f2263,plain,
    ! [X0] :
      ( tptpcol_8_109059(X0)
      | ~ tptpcol_9_109060(X0) ),
    inference(cnf_transformation,[],[f1343]) ).

fof(f2272,plain,
    ! [X0] :
      ( ~ tptpcol_14_109181(X0)
      | tptpcol_13_109173(X0) ),
    inference(cnf_transformation,[],[f1346]) ).

fof(f2287,plain,
    ! [X0] :
      ( ~ tptpcol_15_109185(X0)
      | tptpcol_14_109181(X0) ),
    inference(cnf_transformation,[],[f1352]) ).

fof(f2310,plain,
    ! [X0] :
      ( ~ individual(X0)
      | ~ collection(X0) ),
    inference(cnf_transformation,[],[f1362]) ).

fof(f2361,plain,
    ! [X0] :
      ( tptpcol_6_108546(X0)
      | ~ tptpcol_7_108547(X0) ),
    inference(cnf_transformation,[],[f1388]) ).

fof(f2363,plain,
    ! [X0] :
      ( ~ tptpcol_11_109125(X0)
      | tptpcol_10_109061(X0) ),
    inference(cnf_transformation,[],[f1389]) ).

fof(f2380,plain,
    ! [X0] :
      ( tptpcol_11_109125(X0)
      | ~ tptpcol_12_109157(X0) ),
    inference(cnf_transformation,[],[f1396]) ).

fof(f2465,plain,
    ! [X0] :
      ( ~ tptpcol_0_0(X0)
      | individual(X0) ),
    inference(cnf_transformation,[],[f1436]) ).

fof(f2479,plain,
    ! [X0] :
      ( ~ tptpcol_6_108546(X0)
      | tptpcol_5_106498(X0) ),
    inference(cnf_transformation,[],[f1441]) ).

fof(f2495,plain,
    firstordercollection(c_tptpcol_16_62187),
    inference(cnf_transformation,[],[f475]) ).

fof(f3063,plain,
    tptpcol_15_109185(c_tptpcol_16_62187),
    inference(cnf_transformation,[],[f2022]) ).

fof(f3405,plain,
    ! [X0] :
      ( collection(X0)
      | ~ firstordercollection(X0) ),
    inference(resolution,[],[f2226,f2172]) ).

fof(f3407,plain,
    ! [X0] :
      ( ~ tptpcol_3_98305(X0)
      | tptpcol_1_65536(X0) ),
    inference(resolution,[],[f2255,f2072]) ).

fof(f3408,plain,
    tptpcol_14_109181(c_tptpcol_16_62187),
    inference(resolution,[],[f2287,f3063]) ).

fof(f3409,plain,
    tptpcol_13_109173(c_tptpcol_16_62187),
    inference(resolution,[],[f3408,f2272]) ).

fof(f3417,plain,
    ! [X0] :
      ( ~ tptpcol_12_109157(X0)
      | tptpcol_10_109061(X0) ),
    inference(resolution,[],[f2380,f2363]) ).

fof(f3428,plain,
    ! [X0] :
      ( ~ tptpcol_1_65536(X0)
      | individual(X0) ),
    inference(resolution,[],[f2465,f2145]) ).

fof(f3431,plain,
    ! [X0] :
      ( ~ tptpcol_7_108547(X0)
      | tptpcol_5_106498(X0) ),
    inference(resolution,[],[f2479,f2361]) ).

fof(f3456,plain,
    ! [X0] :
      ( ~ tptpcol_4_106497(X0)
      | tptpcol_1_65536(X0) ),
    inference(resolution,[],[f3407,f2090]) ).

fof(f3461,plain,
    ! [X0] :
      ( ~ tptpcol_13_109173(X0)
      | tptpcol_10_109061(X0) ),
    inference(resolution,[],[f3417,f2135]) ).

fof(f3485,plain,
    ! [X0] :
      ( ~ tptpcol_8_109059(X0)
      | tptpcol_5_106498(X0) ),
    inference(resolution,[],[f3431,f2206]) ).

fof(f3513,plain,
    tptpcol_10_109061(c_tptpcol_16_62187),
    inference(resolution,[],[f3461,f3409]) ).

fof(f3538,plain,
    ! [X0] :
      ( tptpcol_5_106498(X0)
      | ~ tptpcol_9_109060(X0) ),
    inference(resolution,[],[f3485,f2263]) ).

fof(f3585,plain,
    ! [X0] :
      ( ~ tptpcol_9_109060(X0)
      | tptpcol_4_106497(X0) ),
    inference(resolution,[],[f3538,f2138]) ).

fof(f3613,plain,
    ! [X0] :
      ( ~ tptpcol_10_109061(X0)
      | tptpcol_4_106497(X0) ),
    inference(resolution,[],[f3585,f2117]) ).

fof(f3622,plain,
    tptpcol_4_106497(c_tptpcol_16_62187),
    inference(resolution,[],[f3613,f3513]) ).

fof(f3624,plain,
    tptpcol_1_65536(c_tptpcol_16_62187),
    inference(resolution,[],[f3622,f3456]) ).

fof(f3627,plain,
    individual(c_tptpcol_16_62187),
    inference(resolution,[],[f3624,f3428]) ).

fof(f3629,plain,
    ~ collection(c_tptpcol_16_62187),
    inference(resolution,[],[f3627,f2310]) ).

fof(f3633,plain,
    ~ firstordercollection(c_tptpcol_16_62187),
    inference(resolution,[],[f3629,f3405]) ).

fof(f3634,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f3633,f2495]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR040+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.18  % Computer : n019.cluster.edu
% 0.10/0.18  % Model    : x86_64 x86_64
% 0.10/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18  % Memory   : 8046.5625MB
% 0.10/0.18  % OS       : Linux 6.8.0-71-generic
% 0.10/0.18  % CPULimit : 300
% 0.10/0.18  % WCLimit  : 300
% 0.10/0.18  % DateTime : Mon Sep 28 22:15:03 UTC 2026
% 0.10/0.18  % CPUTime  : 
% 0.10/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21  Running first-order model finding
% 0.10/0.21  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.27  % (334040)Will run a generic schedule for satisfiability detection.
% 0.21/0.27  % (334049)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4087053932:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.27  % (334046)% WARNING: option uhcvi not known.
% 0.21/0.27  % (334045)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1645748989_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.27  % (334047)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=703759947:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.27  % (334046)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=749916591:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.27  % (334048)dis+10_1_sil=32000:sp=arity:random_seed=4009041534:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.27  % (334049) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-334040-334049"...
% 0.21/0.27  % (334049)...printing done.
% 0.21/0.27  % (334050)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=643396030:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.27  % (334051)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=839177248:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.27  % (334049)Refutation found. Thanks to Tanya!
% 0.21/0.27  % SZS status Theorem for theBenchmark
% 0.21/0.27  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.28  % (334049)------------------------------
% 0.21/0.28  % (334049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28  % (334049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28  % (334049)CaDiCaL version: 2.1.3
% 0.21/0.28  % (334049)Termination reason: Refutation
% 0.21/0.28  % (334049)Time elapsed: 0.017 s
% 0.21/0.28  % (334049)Peak memory usage: 14 MB
% 0.21/0.28  % (334049)Instructions burned: 55 (million)
% 0.21/0.28  % (334040)Success in time 0.051 s
% 0.21/0.28  % Vampire exiting
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