TSTP Solution File: ARI177_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI177_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 : n011.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 17:52:44 EDT 2023

% Result   : Theorem 0.22s 0.49s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   8 unt;   2 typ;   0 def)
%            Number of atoms       :   17 (  14 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   6   ~;   3   |;   0   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   77 (   0 atm;  33 fun;  33 num;  11 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   2 prp; 0-2 aty)
%            Number of functors    :    7 (   2 usr;   5 con; 0-2 aty)
%            Number of variables   :   11 (;   7   !;   4   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_5,type,
    sK0: $int ).

tff(func_def_6,type,
    sK1: $int ).

tff(f15,plain,
    $false,
    inference(avatar_smt_refutation,[],[f14]) ).

tff(f14,plain,
    spl2_1,
    inference(avatar_split_clause,[],[f9,f11]) ).

tff(f11,plain,
    ( spl2_1
  <=> ( 21 = $sum($product(4,sK0),$product(6,sK1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

tff(f9,plain,
    21 = $sum($product(4,sK0),$product(6,sK1)),
    inference(equality_resolution,[],[f8]) ).

tff(f8,plain,
    ! [X0: $int] :
      ( ( sK0 != X0 )
      | ( 21 = $sum($product(4,X0),$product(6,sK1)) ) ),
    inference(equality_resolution,[],[f7]) ).

tff(f7,plain,
    ! [X2: $int,X1: $int] :
      ( ( sK1 != X2 )
      | ( sK0 != X1 )
      | ( 21 = $sum($product(4,X1),$product(6,X2)) ) ),
    inference(theory_flattening,[],[f6]) ).

tff(f6,plain,
    21 = $sum($product(4,sK0),$product(6,sK1)),
    inference(cnf_transformation,[],[f5]) ).

tff(f5,plain,
    21 = $sum($product(4,sK0),$product(6,sK1)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f3,f4]) ).

tff(f4,plain,
    ( ? [X0: $int,X1: $int] : ( $sum($product(4,X0),$product(6,X1)) = 21 )
   => ( 21 = $sum($product(4,sK0),$product(6,sK1)) ) ),
    introduced(choice_axiom,[]) ).

tff(f3,plain,
    ? [X0: $int,X1: $int] : ( $sum($product(4,X0),$product(6,X1)) = 21 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $int,X1: $int] : ( $sum($product(4,X0),$product(6,X1)) != 21 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $int,X1: $int] : ( $sum($product(4,X0),$product(6,X1)) != 21 ),
    file('/export/starexec/sandbox/tmp/tmp.mZjwAZf5ns/Vampire---4.8_24743',co1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : ARI177_1 : TPTP v8.1.2. Released v5.0.0.
% 0.11/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n011.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 18:48:11 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TF0_THM_EQU_ARI problem
% 0.15/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.mZjwAZf5ns/Vampire---4.8_24743
% 0.15/0.37  % (24918)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (24923)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  % (24924)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  % (24927)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  % (24921)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  % (24925)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  % (24926)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  % (24922)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)
% 0.22/0.48  % (24922)First to succeed.
% 0.22/0.49  % (24922)Refutation found. Thanks to Tanya!
% 0.22/0.49  % SZS status Theorem for Vampire---4
% 0.22/0.49  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.49  % (24922)------------------------------
% 0.22/0.49  % (24922)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.49  % (24922)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.49  % (24922)Termination reason: Refutation
% 0.22/0.49  
% 0.22/0.49  % (24922)Memory used [KB]: 5500
% 0.22/0.49  % (24922)Time elapsed: 0.060 s
% 0.22/0.49  % (24922)------------------------------
% 0.22/0.49  % (24922)------------------------------
% 0.22/0.49  % (24918)Success in time 0.12 s
% 0.22/0.49  24925 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.mZjwAZf5ns/Vampire---4.8_24743
% 0.22/0.49  % (24925)------------------------------
% 0.22/0.49  % (24925)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.49  24923 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.mZjwAZf5ns/Vampire---4.8_24743
% 0.22/0.49  % (24923)------------------------------
% 0.22/0.49  % (24923)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.49  % (24925)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.49  % (24923)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.49  % (24925)Termination reason: Unknown
% 0.22/0.49  % (24923)Termination reason: Unknown
% 0.22/0.49  % (24925)Termination phase: Saturation
% 0.22/0.49  
% 0.22/0.49  % (24923)Termination phase: Saturation
% 0.22/0.49  
% 0.22/0.49  % (24925)Memory used [KB]: 5500
% 0.22/0.49  % (24925)Time elapsed: 0.064 s
% 0.22/0.49  % (24923)Memory used [KB]: 5500
% 0.22/0.49  % (24925)------------------------------
% 0.22/0.49  % (24925)------------------------------
% 0.22/0.49  % (24923)Time elapsed: 0.064 s
% 0.22/0.49  % (24923)------------------------------
% 0.22/0.49  % (24923)------------------------------
% 0.22/0.49  % Vampire---4.8 exiting
%------------------------------------------------------------------------------