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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ARI418_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 : n012.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 09:34:35 AM UTC 2026

% Result   : Theorem 0.08s 0.15s
% Output   : Refutation 0.08s
% 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 :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   16 (   0 atm;   4 fun;   8 num;   4 var)
%            Number of types       :    1 (   0 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   2   !;   2   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f1,conjecture,
    ? [X0: $real] : ( $sum(7/2,-41/20) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_sum_problem_18) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $real] : ( $sum(7/2,-41/20) = X0 ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

tff(f14,plain,
    ! [X0: $real] : ( $sum(7/2,-41/20) != X0 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f15,plain,
    ! [X0: $real] : ( $sum(7/2,-41/20) != X0 ),
    inference(cnf_transformation,[],[f14]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : ARI418_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10  % Computer : n012.cluster.edu
% 0.00/0.10  % Model    : x86_64 x86_64
% 0.00/0.10  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10  % Memory   : 8046.5625MB
% 0.00/0.10  % OS       : Linux 6.8.0-71-generic
% 0.00/0.10  % CPULimit : 300
% 0.00/0.10  % WCLimit  : 300
% 0.00/0.10  % DateTime : Mon Sep 28 20:49:34 UTC 2026
% 0.00/0.10  % CPUTime  : 
% 0.00/0.10  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12  Running first-order model finding
% 0.08/0.12  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
% 0.08/0.15  % (3740679)Will run a generic schedule for satisfiability detection.
% 0.08/0.15  % (3740685)% WARNING: option uhcvi not known.
% 0.08/0.15  % (3740687)dis+10_1_sil=32000:sp=arity:random_seed=875639769:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.15  % (3740686)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=478686:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.15  % (3740684)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4146197980_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.15  % (3740685)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2637624762:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.15  % (3740688)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=486253249:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.15  % (3740684)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.08/0.15  % (3740684)Terminated due to inappropriate strategy.
% 0.08/0.15  % (3740684)------------------------------
% 0.08/0.15  % (3740684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.15  % (3740689)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2865983561:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.15  % (3740684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.15  % (3740684)CaDiCaL version: 2.1.3
% 0.08/0.15  % (3740684)Termination reason: Inappropriate
% 0.08/0.15  % (3740684)Time elapsed: 0.0000 s
% 0.08/0.15  % (3740684)Peak memory usage: 10 MB
% 0.08/0.15  % (3740690)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4033961946:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.15  % (3740687) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3740679-3740687"...
% 0.08/0.15  % (3740686) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3740679-3740686"...
% 0.08/0.15  % (3740685) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3740679-3740685"...
% 0.08/0.15  % (3740688) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3740679-3740688"...
% 0.08/0.15  % (3740684)------------------------------
% 0.08/0.15  % (3740684)------------------------------
% 0.08/0.15  % (3740690) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3740679-3740690"...
% 0.08/0.15  % (3740689) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3740679-3740689"...
% 0.08/0.15  % (3740687)...printing done.
% 0.08/0.15  % (3740686)...printing done.
% 0.08/0.15  % (3740685)...printing done.
% 0.08/0.15  % (3740688)...printing done.
% 0.08/0.15  % (3740690)...printing done.
% 0.08/0.15  % (3740687)Refutation found. Thanks to Tanya!
% 0.08/0.15  % SZS status Theorem for theBenchmark
% 0.08/0.15  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.15  % (3740687)------------------------------
% 0.08/0.15  % (3740687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.15  % (3740687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.15  % (3740687)CaDiCaL version: 2.1.3
% 0.08/0.15  % (3740687)Termination reason: Refutation
% 0.08/0.15  % (3740687)Time elapsed: 0.0000 s
% 0.08/0.15  % (3740687)Peak memory usage: 11 MB
% 0.08/0.15  % (3740679)Success in time 0.029 s
% 0.08/0.15  % Vampire exiting
%------------------------------------------------------------------------------