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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : MSC019+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n010.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 12:05:48 PM UTC 2026

% Result   : Theorem 0.14s 0.46s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  10 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (  10   ~;   7   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f19,axiom,
    s_contains(s_g019,s_g013),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb18) ).

fof(f75,axiom,
    s_contains(s_g013,s_MX),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb74) ).

fof(f601,axiom,
    ! [X0,X1,X2] :
      ( ( s_contains(X0,X1)
        & s_contains(X1,X2) )
     => s_contains(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom1) ).

fof(f604,conjecture,
    s_contains(s_g019,s_MX),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexico_in_america_1) ).

fof(f605,negated_conjecture,
    ~ s_contains(s_g019,s_MX),
    inference(negated_conjecture,[status(cth)],[f604]) ).

fof(f606,plain,
    ~ s_contains(s_g019,s_MX),
    inference(flattening,[],[f605]) ).

fof(f607,plain,
    ! [X0,X1,X2] :
      ( s_contains(X0,X2)
      | ~ s_contains(X0,X1)
      | ~ s_contains(X1,X2) ),
    inference(ennf_transformation,[],[f601]) ).

fof(f608,plain,
    ! [X0,X1,X2] :
      ( s_contains(X0,X2)
      | ~ s_contains(X0,X1)
      | ~ s_contains(X1,X2) ),
    inference(flattening,[],[f607]) ).

fof(f629,plain,
    s_contains(s_g019,s_g013),
    inference(cnf_transformation,[],[f19]) ).

fof(f685,plain,
    s_contains(s_g013,s_MX),
    inference(cnf_transformation,[],[f75]) ).

fof(f1211,plain,
    ! [X2,X0,X1] :
      ( ~ s_contains(X0,X1)
      | s_contains(X0,X2)
      | ~ s_contains(X1,X2) ),
    inference(cnf_transformation,[],[f608]) ).

fof(f1214,plain,
    ~ s_contains(s_g019,s_MX),
    inference(cnf_transformation,[],[f606]) ).

fof(f1828,plain,
    ! [X0] :
      ( ~ s_contains(s_g013,X0)
      | s_contains(s_g019,X0) ),
    inference(resolution,[],[f1211,f629]) ).

fof(f2266,plain,
    s_contains(s_g019,s_MX),
    inference(resolution,[],[f1828,f685]) ).

fof(f2270,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f2266,f1214]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MSC019+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.35  % Computer : n010.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Sun Sep 27 17:43:46 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.39  Running first-order model finding
% 0.14/0.39  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
% 0.14/0.46  % (1193998)Will run a generic schedule for satisfiability detection.
% 0.14/0.46  % (1194003)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1870082357_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.46  % Detected minimum model sizes of [1]
% 0.14/0.46  % Detected maximum model sizes of [280]
% 0.14/0.46  % TRYING [1]
% 0.14/0.46  % TRYING [2]
% 0.14/0.46  % (1194008)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=925284045:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.46  % (1194005)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2627459799:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.46  % (1194006)dis+10_1_sil=32000:sp=arity:random_seed=2605337383:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.46  % (1194007)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2360606497:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.46  % (1194009)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3569006701:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.46  % TRYING [3]
% 0.14/0.46  % (1194004)% WARNING: option uhcvi not known.
% 0.14/0.46  % TRYING [4]
% 0.14/0.46  % (1194004)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3991409632:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.46  % TRYING [5]
% 0.14/0.46  % (1194008) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1193998-1194008"...
% 0.14/0.46  % (1194008)...printing done.
% 0.14/0.46  % (1194004) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1193998-1194004"...
% 0.14/0.46  % (1194007) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1193998-1194007"...
% 0.14/0.46  % (1194008)Refutation found. Thanks to Tanya!
% 0.14/0.46  % SZS status Theorem for theBenchmark
% 0.14/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.46  % (1194008)------------------------------
% 0.14/0.46  % (1194008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.46  % (1194008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.46  % (1194008)CaDiCaL version: 2.1.3
% 0.14/0.46  % (1194008)Termination reason: Refutation
% 0.14/0.46  % (1194008)Time elapsed: 0.013 s
% 0.14/0.46  % (1194008)Peak memory usage: 12 MB
% 0.14/0.46  % (1194008)Instructions burned: 26 (million)
% 0.14/0.46  % (1193998)Success in time 0.057 s
% 0.14/0.46  % Vampire exiting
%------------------------------------------------------------------------------