TSTP Solution File: SET833-2 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET833-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : n032.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 : Thu Aug 31 15:45:51 EDT 2023

% Result   : Unsatisfiable 0.16s 0.36s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   7 unt;   0 def)
%            Number of atoms       :   15 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :    8 (;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,plain,
    $false,
    inference(resolution,[],[f9,f3]) ).

fof(f3,axiom,
    c_in(v_x,v_Z,t_a),
    file('/export/starexec/sandbox/tmp/tmp.bb2A595Inx/Vampire---4.8_30103',cls_conjecture_2) ).

fof(f9,plain,
    ~ c_in(v_x,v_Z,t_a),
    inference(resolution,[],[f8,f4]) ).

fof(f4,axiom,
    ~ c_in(v_x,v_V,t_a),
    file('/export/starexec/sandbox/tmp/tmp.bb2A595Inx/Vampire---4.8_30103',cls_conjecture_3) ).

fof(f8,plain,
    ! [X0] :
      ( c_in(X0,v_V,t_a)
      | ~ c_in(X0,v_Z,t_a) ),
    inference(resolution,[],[f7,f6]) ).

fof(f6,plain,
    c_lessequals(v_Z,v_V,sF0),
    inference(definition_folding,[],[f2,f5]) ).

fof(f5,plain,
    tc_set(t_a) = sF0,
    introduced(function_definition,[]) ).

fof(f2,axiom,
    c_lessequals(v_Z,v_V,tc_set(t_a)),
    file('/export/starexec/sandbox/tmp/tmp.bb2A595Inx/Vampire---4.8_30103',cls_conjecture_1) ).

fof(f7,plain,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(X0,X1,sF0)
      | c_in(X2,X1,t_a)
      | ~ c_in(X2,X0,t_a) ),
    inference(superposition,[],[f1,f5]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_lessequals(X1,X3,tc_set(X2))
      | c_in(X0,X3,X2)
      | ~ c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.bb2A595Inx/Vampire---4.8_30103',cls_Set_OsubsetD_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SET833-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Sat Aug 26 14:57:58 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.11/0.31  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.11/0.31  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.bb2A595Inx/Vampire---4.8_30103
% 0.11/0.31  % (30215)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.35  % (30218)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.16/0.36  % (30218)First to succeed.
% 0.16/0.36  % (30218)Refutation found. Thanks to Tanya!
% 0.16/0.36  % SZS status Unsatisfiable for Vampire---4
% 0.16/0.36  % SZS output start Proof for Vampire---4
% See solution above
% 0.16/0.36  % (30218)------------------------------
% 0.16/0.36  % (30218)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.16/0.36  % (30218)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.16/0.36  % (30218)Termination reason: Refutation
% 0.16/0.36  
% 0.16/0.36  % (30218)Memory used [KB]: 5373
% 0.16/0.36  % (30218)Time elapsed: 0.002 s
% 0.16/0.36  % (30218)------------------------------
% 0.16/0.36  % (30218)------------------------------
% 0.16/0.36  % (30215)Success in time 0.043 s
% 0.16/0.36  % Vampire---4.8 exiting
%------------------------------------------------------------------------------