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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ARI252_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n003.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 09:34:17 AM UTC 2026

% Result   : Theorem 0.19s 0.26s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    5 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :    5 (   4 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number arithmetic     :   16 (   0 atm;   4 fun;  12 num;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f1,conjecture,
    $sum(7/2,1/2) = 4/1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_sum_problem_7) ).

tff(f2,negated_conjecture,
    ( ( ~ $sum(7/2,1/2) ) = 4/1 ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

tff(f14,plain,
    $sum(7/2,1/2) != 4/1,
    inference(flattening,[],[f2]) ).

tff(f15,plain,
    $sum(7/2,1/2) != 4/1,
    inference(cnf_transformation,[],[f14]) ).

tff(f16,plain,
    $false,
    inference(evaluation,[],[f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ARI252_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18  % Computer : n003.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 20:47:13 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21  Running first-order model finding
% 0.09/0.21  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
% 0.19/0.26  % (1984925)Will run a generic schedule for satisfiability detection.
% 0.19/0.26  % (1984938)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3620629553_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.26  % (1984938)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.26  % (1984938)Terminated due to inappropriate strategy.
% 0.19/0.26  % (1984938)------------------------------
% 0.19/0.26  % (1984938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.26  % (1984938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.26  % (1984938)CaDiCaL version: 2.1.3
% 0.19/0.26  % (1984938)Termination reason: Inappropriate
% 0.19/0.26  % (1984938)Time elapsed: 0.0000 s
% 0.19/0.26  % (1984938)Peak memory usage: 10 MB
% 0.19/0.26  % (1984938)------------------------------
% 0.19/0.26  % (1984938)------------------------------
% 0.19/0.26  % (1984939)% WARNING: option uhcvi not known.
% 0.19/0.26  % (1984941)dis+10_1_sil=32000:sp=arity:random_seed=189809344:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.26  % (1984939)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3256912245:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.26  % (1984940)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4164028754:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.26  % (1984944)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3140944079:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.26  % (1984942)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3846709813:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.26  % (1984945)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=733972966:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.26  % (1984941) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1984925-1984941"...
% 0.19/0.26  % (1984939) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1984925-1984939"...
% 0.19/0.26  % (1984944) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1984925-1984944"...
% 0.19/0.26  % (1984940) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1984925-1984940"...
% 0.19/0.26  % (1984942) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1984925-1984942"...
% 0.19/0.26  % (1984945) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1984925-1984945"...
% 0.19/0.26  % (1984941)...printing done.
% 0.19/0.26  % (1984944)...printing done.
% 0.19/0.26  % (1984939)...printing done.
% 0.19/0.26  % (1984940)...printing done.
% 0.19/0.26  % (1984942)...printing done.
% 0.19/0.26  % (1984941)Refutation found. Thanks to Tanya!
% 0.19/0.26  % SZS status Theorem for theBenchmark
% 0.19/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.26  % (1984941)------------------------------
% 0.19/0.26  % (1984941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.26  % (1984941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.26  % (1984941)CaDiCaL version: 2.1.3
% 0.19/0.26  % (1984941)Termination reason: Refutation
% 0.19/0.26  % (1984941)Time elapsed: 0.001 s
% 0.19/0.26  % (1984941)Peak memory usage: 11 MB
% 0.19/0.26  % (1984925)Success in time 0.038 s
% 0.19/0.26  % Vampire exiting
%------------------------------------------------------------------------------