TSTP Solution File: ARI063_1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI063_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 18:49:21 EDT 2024

% Result   : Theorem 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   4 unt;   1 typ;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   13 (   6   ~;   0   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   33 (   0 atm;   7 fun;  22 num;   4 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   1 usr;   4 con; 0-2 aty)
%            Number of variables   :    4 (   2   !;   2   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_7,type,
    sK0: $int ).

tff(f21,plain,
    $false,
    inference(subsumption_resolution,[],[f20,f19]) ).

tff(f19,plain,
    5 != sK0,
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ( ( 5 != sK0 )
    & ( $sum(2,3) = sK0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).

tff(f16,plain,
    ( ? [X0: $int] :
        ( ( 5 != X0 )
        & ( $sum(2,3) = X0 ) )
   => ( ( 5 != sK0 )
      & ( $sum(2,3) = sK0 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f15,plain,
    ? [X0: $int] :
      ( ( 5 != X0 )
      & ( $sum(2,3) = X0 ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $int] :
        ( ( $sum(2,3) = X0 )
       => ( 5 = X0 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $int] :
      ( ( $sum(2,3) = X0 )
     => ( 5 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_2_3_only_5) ).

tff(f20,plain,
    5 = sK0,
    inference(evaluation,[],[f18]) ).

tff(f18,plain,
    $sum(2,3) = sK0,
    inference(cnf_transformation,[],[f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ARI063_1 : TPTP v8.2.0. Released v5.0.0.
% 0.14/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n002.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun May 19 13:13:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (11384)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (11387)WARNING: value z3 for option sas not known
% 0.15/0.38  % (11385)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (11386)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (11387)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (11388)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (11389)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38  % (11390)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38  % (11391)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38  % (11386)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38  % (11385)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38  % (11386)Terminated due to inappropriate strategy.
% 0.15/0.38  % (11386)------------------------------
% 0.15/0.38  % (11386)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (11385)Terminated due to inappropriate strategy.
% 0.15/0.38  % (11385)------------------------------
% 0.15/0.38  % (11385)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (11386)Termination reason: Inappropriate
% 0.15/0.38  
% 0.15/0.38  % (11385)Termination reason: Inappropriate
% 0.15/0.38  
% 0.15/0.38  % (11386)Memory used [KB]: 723
% 0.15/0.38  % (11385)Memory used [KB]: 722
% 0.15/0.38  % (11386)Time elapsed: 0.002 s
% 0.15/0.38  % (11385)Time elapsed: 0.002 s
% 0.15/0.38  % (11386)Instructions burned: 2 (million)
% 0.15/0.38  % (11385)Instructions burned: 2 (million)
% 0.15/0.38  % (11388)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38  % (11388)Terminated due to inappropriate strategy.
% 0.15/0.38  % (11388)------------------------------
% 0.15/0.38  % (11388)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (11388)Termination reason: Inappropriate
% 0.15/0.38  
% 0.15/0.38  % (11388)Memory used [KB]: 722
% 0.15/0.38  % (11388)Time elapsed: 0.002 s
% 0.15/0.38  % (11388)Instructions burned: 2 (million)
% 0.15/0.38  % (11386)------------------------------
% 0.15/0.38  % (11386)------------------------------
% 0.15/0.38  % (11385)------------------------------
% 0.15/0.38  % (11385)------------------------------
% 0.15/0.38  % (11388)------------------------------
% 0.15/0.38  % (11388)------------------------------
% 0.15/0.38  % (11391)First to succeed.
% 0.15/0.38  % (11389)Also succeeded, but the first one will report.
% 0.15/0.38  % (11390)Also succeeded, but the first one will report.
% 0.15/0.38  % (11391)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11384"
% 0.15/0.38  % (11387)Also succeeded, but the first one will report.
% 0.15/0.38  % (11391)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Theorem for theBenchmark
% 0.15/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38  % (11391)------------------------------
% 0.15/0.38  % (11391)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (11391)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (11391)Memory used [KB]: 749
% 0.15/0.38  % (11391)Time elapsed: 0.003 s
% 0.15/0.38  % (11391)Instructions burned: 2 (million)
% 0.15/0.38  % (11384)Success in time 0.017 s
%------------------------------------------------------------------------------