TSTP Solution File: ARI705_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI705_1 : TPTP v8.1.2. Released v6.3.0.
% 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 : n018.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 17:54:41 EDT 2023

% Result   : Theorem 0.23s 0.48s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (  10 unt;   4 typ;   0 def)
%            Number of atoms       :   14 (   9 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   0   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number arithmetic     :   38 (   0 atm;  26 fun;  12 num;   0 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   4 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    d: $int ).

tff(func_def_1,type,
    a: $int ).

tff(func_def_2,type,
    c: $int ).

tff(func_def_3,type,
    b: $int ).

tff(f18,plain,
    $false,
    inference(avatar_smt_refutation,[],[f12,f17]) ).

tff(f17,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f7,f14]) ).

tff(f14,plain,
    ( spl0_2
  <=> ( a = 0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

tff(f7,plain,
    a = 0,
    inference(cancellation,[],[f6]) ).

tff(f6,plain,
    $product(d,d) = $sum($product(d,d),a),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    $product(d,d) = $sum($product(d,d),a),
    file('/export/starexec/sandbox2/tmp/tmp.z4HXDe2OhQ/Vampire---4.8_26868',eq) ).

tff(f12,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f5,f9]) ).

tff(f9,plain,
    ( spl0_1
  <=> ( $product($product($product($product(d,c),a),b),2) = 0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

tff(f5,plain,
    $product($product($product($product(d,c),a),b),2) != 0,
    inference(cnf_transformation,[],[f4]) ).

tff(f4,plain,
    $product($product($product($product(d,c),a),b),2) != 0,
    inference(flattening,[],[f3]) ).

tff(f3,negated_conjecture,
    ( ~ $product($product($product($product(d,c),a),b),2) = 0 ),
    inference(negated_conjecture,[],[f2]) ).

tff(f2,conjecture,
    $product($product($product($product(d,c),a),b),2) = 0,
    file('/export/starexec/sandbox2/tmp/tmp.z4HXDe2OhQ/Vampire---4.8_26868',conj) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ARI705_1 : TPTP v8.1.2. Released v6.3.0.
% 0.13/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n018.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 18:11:48 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TF0_THM_EQU_ARI problem
% 0.15/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.z4HXDe2OhQ/Vampire---4.8_26868
% 0.15/0.37  % (27174)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43  % (27182)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)
% 0.23/0.43  % (27180)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)
% 0.23/0.43  % (27179)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on Vampire---4 for (472ds/0Mi)
% 0.23/0.43  % (27181)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)
% 0.23/0.43  % (27176)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)
% 0.23/0.43  % (27177)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)
% 0.23/0.43  % (27178)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)
% 0.23/0.47  % (27179)First to succeed.
% 0.23/0.48  % (27179)Refutation found. Thanks to Tanya!
% 0.23/0.48  % SZS status Theorem for Vampire---4
% 0.23/0.48  % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.48  % (27179)------------------------------
% 0.23/0.48  % (27179)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.48  % (27179)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.48  % (27179)Termination reason: Refutation
% 0.23/0.48  
% 0.23/0.48  % (27179)Memory used [KB]: 1023
% 0.23/0.48  % (27179)Time elapsed: 0.046 s
% 0.23/0.48  % (27179)------------------------------
% 0.23/0.48  % (27179)------------------------------
% 0.23/0.48  % (27174)Success in time 0.104 s
% 0.23/0.48  27177 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.z4HXDe2OhQ/Vampire---4.8_26868
% 0.23/0.48  % (27177)------------------------------
% 0.23/0.48  % (27177)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.48  % (27177)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.48  % (27177)Termination reason: Unknown
% 0.23/0.48  % (27177)Termination phase: Saturation
% 0.23/0.48  
% 0.23/0.48  % (27177)Memory used [KB]: 5500
% 0.23/0.48  % (27177)Time elapsed: 0.048 s
% 0.23/0.48  % (27177)------------------------------
% 0.23/0.48  % (27177)------------------------------
% 0.23/0.48  % Vampire---4.8 exiting
%------------------------------------------------------------------------------