TSTP Solution File: ARI547_1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI547_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 : n008.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 13:42:29 EDT 2023

% Result   : Theorem 0.21s 0.42s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   14 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   7   ~;   3   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   42 (   8 atm;   8 fun;  18 num;   8 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   0 usr;   4 con; 0-2 aty)
%            Number of variables   :    8 (;   6   !;   2   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f61,plain,
    $false,
    inference(evaluation,[],[f57]) ).

tff(f57,plain,
    27 != $product($sum(8,1),3),
    inference(resolution,[],[f48,f22]) ).

tff(f22,plain,
    ! [X0: $int] :
      ( ~ $less(8,X0)
      | ( $product(X0,3) != 27 ) ),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ! [X0: $int] :
      ( ~ $less(8,X0)
      | ( $product(X0,3) != 27 ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int] :
        ( $less(8,X0)
        & ( $product(X0,3) = 27 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int] :
      ( $less(8,X0)
      & ( $product(X0,3) = 27 ) ),
    file('/export/starexec/sandbox/tmp/tmp.oiK9VuR3kg/Vampire---4.8_10173',int_combined_problem_11) ).

tff(f48,plain,
    ! [X0: $int] : $less(X0,$sum(X0,1)),
    inference(unit_resulting_resolution,[],[f8,f12]) ).

tff(f12,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,$sum(X0,1))
      | $less(X0,X1) ),
    introduced(theory_axiom_150,[]) ).

tff(f8,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_145,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ARI547_1 : TPTP v8.1.2. Released v5.0.0.
% 0.13/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35  % Computer : n008.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
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Wed Aug 30 18:04:47 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.41  % (10456)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (10457)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.41  % (10458)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.41  % (10459)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)
% 0.21/0.41  % (10460)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.41  % (10461)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)
% 0.21/0.41  % (10462)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)
% 0.21/0.41  % (10458)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.41  % (10457)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.41  % (10457)Terminated due to inappropriate strategy.
% 0.21/0.41  % (10457)------------------------------
% 0.21/0.41  % (10457)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.41  % (10457)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.41  % (10457)Termination reason: Inappropriate
% 0.21/0.41  
% 0.21/0.41  % (10457)Memory used [KB]: 767
% 0.21/0.41  % (10457)Time elapsed: 0.002 s
% 0.21/0.41  % (10463)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)
% 0.21/0.41  % (10457)------------------------------
% 0.21/0.41  % (10457)------------------------------
% 0.21/0.41  % (10458)Terminated due to inappropriate strategy.
% 0.21/0.41  % (10458)------------------------------
% 0.21/0.41  % (10458)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.41  % (10458)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.41  % (10458)Termination reason: Inappropriate
% 0.21/0.41  
% 0.21/0.41  % (10458)Memory used [KB]: 767
% 0.21/0.41  % (10458)Time elapsed: 0.003 s
% 0.21/0.41  % (10460)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.41  % (10458)------------------------------
% 0.21/0.41  % (10458)------------------------------
% 0.21/0.41  % (10460)Terminated due to inappropriate strategy.
% 0.21/0.41  % (10460)------------------------------
% 0.21/0.41  % (10460)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.41  % (10460)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.41  % (10460)Termination reason: Inappropriate
% 0.21/0.41  
% 0.21/0.41  % (10460)Memory used [KB]: 767
% 0.21/0.41  % (10460)Time elapsed: 0.002 s
% 0.21/0.41  % (10460)------------------------------
% 0.21/0.41  % (10460)------------------------------
% 0.21/0.42  % (10463)First to succeed.
% 0.21/0.42  % (10463)Refutation found. Thanks to Tanya!
% 0.21/0.42  % SZS status Theorem for Vampire---4
% 0.21/0.42  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.42  % (10463)------------------------------
% 0.21/0.42  % (10463)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42  % (10463)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42  % (10463)Termination reason: Refutation
% 0.21/0.42  
% 0.21/0.42  % (10463)Memory used [KB]: 895
% 0.21/0.42  % (10463)Time elapsed: 0.004 s
% 0.21/0.42  % (10463)------------------------------
% 0.21/0.42  % (10463)------------------------------
% 0.21/0.42  % (10456)Success in time 0.06 s
% 0.21/0.42  % Vampire---4.8 exiting
%------------------------------------------------------------------------------