TSTP Solution File: ARI409_1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI409_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n013.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 : Fri Sep  1 13:40:51 EDT 2023

% Result   : Theorem 0.17s 0.40s
% Output   : Refutation 0.17s
% 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: $real ).

tff(f20,plain,
    $false,
    inference(subsumption_resolution,[],[f19,f18]) ).

tff(f18,plain,
    10.0 != sK0,
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    ( ( 10.0 != sK0 )
    & ( $sum(4.25,5.75) = sK0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).

tff(f15,plain,
    ( ? [X0: $real] :
        ( ( 10.0 != X0 )
        & ( $sum(4.25,5.75) = X0 ) )
   => ( ( 10.0 != sK0 )
      & ( $sum(4.25,5.75) = sK0 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f14,plain,
    ? [X0: $real] :
      ( ( 10.0 != X0 )
      & ( $sum(4.25,5.75) = X0 ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $real] :
        ( ( $sum(4.25,5.75) = X0 )
       => ( 10.0 = X0 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $real] :
      ( ( $sum(4.25,5.75) = X0 )
     => ( 10.0 = X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.v1TMWoxmzj/Vampire---4.8_28340',real_sum_problem_9) ).

tff(f19,plain,
    10.0 = sK0,
    inference(evaluation,[],[f17]) ).

tff(f17,plain,
    $sum(4.25,5.75) = sK0,
    inference(cnf_transformation,[],[f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : ARI409_1 : TPTP v8.1.2. Released v5.0.0.
% 0.11/0.13  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Wed Aug 30 17:56:46 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.17/0.39  % (28448)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.40  % (28450)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.17/0.40  % (28453)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 Vampire---4 for (531ds/0Mi)
% 0.17/0.40  % (28452)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.17/0.40  % (28449)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.17/0.40  % (28451)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 Vampire---4 for (569ds/0Mi)
% 0.17/0.40  % (28454)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 Vampire---4 for (522ds/0Mi)
% 0.17/0.40  % (28455)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 Vampire---4 for (497ds/0Mi)
% 0.17/0.40  % (28452)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.40  % (28450)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.40  % (28449)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.40  % (28449)Terminated due to inappropriate strategy.
% 0.17/0.40  % (28449)------------------------------
% 0.17/0.40  % (28449)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.40  % (28452)Terminated due to inappropriate strategy.
% 0.17/0.40  % (28452)------------------------------
% 0.17/0.40  % (28452)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.40  % (28450)Terminated due to inappropriate strategy.
% 0.17/0.40  % (28450)------------------------------
% 0.17/0.40  % (28450)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.40  % (28452)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.40  % (28450)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.40  % (28452)Termination reason: Inappropriate
% 0.17/0.40  
% 0.17/0.40  % (28450)Termination reason: Inappropriate
% 0.17/0.40  
% 0.17/0.40  % (28452)Memory used [KB]: 767
% 0.17/0.40  % (28450)Memory used [KB]: 767
% 0.17/0.40  % (28450)Time elapsed: 0.003 s
% 0.17/0.40  % (28452)Time elapsed: 0.002 s
% 0.17/0.40  % (28450)------------------------------
% 0.17/0.40  % (28450)------------------------------
% 0.17/0.40  % (28452)------------------------------
% 0.17/0.40  % (28452)------------------------------
% 0.17/0.40  % (28449)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.40  % (28449)Termination reason: Inappropriate
% 0.17/0.40  
% 0.17/0.40  % (28449)Memory used [KB]: 767
% 0.17/0.40  % (28449)Time elapsed: 0.002 s
% 0.17/0.40  % (28449)------------------------------
% 0.17/0.40  % (28449)------------------------------
% 0.17/0.40  % (28455)First to succeed.
% 0.17/0.40  % (28453)Also succeeded, but the first one will report.
% 0.17/0.40  % (28454)Also succeeded, but the first one will report.
% 0.17/0.40  % (28455)Refutation found. Thanks to Tanya!
% 0.17/0.40  % SZS status Theorem for Vampire---4
% 0.17/0.40  % SZS output start Proof for Vampire---4
% See solution above
% 0.17/0.40  % (28455)------------------------------
% 0.17/0.40  % (28455)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.40  % (28455)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.40  % (28455)Termination reason: Refutation
% 0.17/0.40  
% 0.17/0.40  % (28455)Memory used [KB]: 895
% 0.17/0.40  % (28455)Time elapsed: 0.003 s
% 0.17/0.40  % (28455)------------------------------
% 0.17/0.40  % (28455)------------------------------
% 0.17/0.40  % (28448)Success in time 0.063 s
% 0.17/0.40  % Vampire---4.8 exiting
%------------------------------------------------------------------------------