TSTP Solution File: ARI164_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI164_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 : n003.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 : Wed Aug 30 17:52:41 EDT 2023

% Result   : Theorem 0.22s 0.43s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   14 (   4 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   7   ~;   3   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   34 (   9 atm;   6 fun;   6 num;  13 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    :    2 (   0 usr;   1 con; 0-2 aty)
%            Number of variables   :   13 (;   9   !;   4   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f19,plain,
    $false,
    inference(subsumption_resolution,[],[f18,f8]) ).

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

tff(f18,plain,
    ! [X0: $int] : $less(X0,X0),
    inference(forward_literal_rewriting,[],[f17,f12]) ).

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

tff(f17,plain,
    ! [X0: $int] : ~ $less(X0,$sum(X0,1)),
    inference(equality_resolution,[],[f16]) ).

tff(f16,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X0,X1)
      | ( $sum(X0,1) != X1 ) ),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X0,X1)
      | ( $sum(X0,1) != X1 ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int,X1: $int] :
        ( $less(X0,X1)
        & ( $sum(X0,1) = X1 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int,X1: $int] :
      ( $less(X0,X1)
      & ( $sum(X0,1) = X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.Z2jcChZ7UJ/Vampire---4.8_25130',exist_bigger_plus_one) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : ARI164_1 : TPTP v8.1.2. Released v5.0.0.
% 0.14/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n003.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % 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   : Tue Aug 29 18:30:11 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TF0_THM_EQU_ARI problem
% 0.22/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.Z2jcChZ7UJ/Vampire---4.8_25130
% 0.22/0.37  % (25394)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (25397)lrs+2_32_add=large:amm=off:bd=off:bs=unit_only:drc=off:flr=on:fsd=off:fde=none:nm=0:nwc=1.1:sos=theory:sp=reverse_arity:tgt=ground:stl=180_1034 on Vampire---4 for (1034ds/0Mi)
% 0.22/0.43  % (25403)ott+10_1024_av=off:bd=preordered:br=off:ep=RSTC:fsr=off:fde=none:nm=2:urr=on_318 on Vampire---4 for (318ds/0Mi)
% 0.22/0.43  % (25404)lrs-1010_3_av=off:br=off:drc=off:er=known:fsd=off:fde=unused:nm=4:nwc=3.0:sp=scramble:urr=on:stl=180_280 on Vampire---4 for (280ds/0Mi)
% 0.22/0.43  % (25401)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on Vampire---4 for (472ds/0Mi)
% 0.22/0.43  % (25402)lrs+1010_2:1_amm=off:bs=on:bsr=on:canc=force:fsd=off:fsr=off:gs=on:gsaa=full_model:gsem=on:nm=0:nwc=1.3:sas=z3:sac=on:tha=off:thi=overlap:tgt=ground:uwa=ground:stl=60_408 on Vampire---4 for (408ds/0Mi)
% 0.22/0.43  % (25399)dis-10_20_canc=force:fsd=off:gs=on:gsem=off:nm=0:sas=z3:sac=on:tha=off:thi=strong:tgt=ground_476 on Vampire---4 for (476ds/0Mi)
% 0.22/0.43  % (25398)dis-1010_2:3_canc=force:fsd=off:fde=unused:gs=on:gsem=on:nm=0:nwc=1.3:sas=z3:tha=off:thf=on:uwa=ground_572 on Vampire---4 for (572ds/0Mi)
% 0.22/0.43  % (25397)First to succeed.
% 0.22/0.43  % (25403)Also succeeded, but the first one will report.
% 0.22/0.43  % (25404)Also succeeded, but the first one will report.
% 0.22/0.43  % (25397)Refutation found. Thanks to Tanya!
% 0.22/0.43  % SZS status Theorem for Vampire---4
% 0.22/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43  % (25397)------------------------------
% 0.22/0.43  % (25397)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43  % (25397)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43  % (25397)Termination reason: Refutation
% 0.22/0.43  
% 0.22/0.43  % (25397)Memory used [KB]: 5500
% 0.22/0.43  % (25397)Time elapsed: 0.004 s
% 0.22/0.43  % (25397)------------------------------
% 0.22/0.43  % (25397)------------------------------
% 0.22/0.43  % (25394)Success in time 0.063 s
% 0.22/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------