%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET197-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n005.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 31 18:24:08 EDT 2022

% Result   : Unsatisfiable 0.17s 0.47s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   17 (   1 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   5   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f465,plain,
    $false,
    inference(subsumption_resolution,[],[f462,f181]) ).

fof(f181,plain,
    ~ subclass(sF0,y),
    inference(definition_folding,[],[f113,f180]) ).

fof(f180,plain,
    intersection(x,y) = sF0,
    introduced(function_definition,[]) ).

fof(f113,axiom,
    ~ subclass(intersection(x,y),y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lattice_lower_bound2_1) ).

fof(f462,plain,
    subclass(sF0,y),
    inference(duplicate_literal_removal,[],[f459]) ).

fof(f459,plain,
    ( subclass(sF0,y)
    | subclass(sF0,y) ),
    inference(resolution,[],[f218,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).

fof(f218,plain,
    ! [X0] :
      ( member(not_subclass_element(sF0,X0),y)
      | subclass(sF0,X0) ),
    inference(resolution,[],[f215,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).

fof(f215,plain,
    ! [X0] :
      ( ~ member(X0,sF0)
      | member(X0,y) ),
    inference(superposition,[],[f22,f180]) ).

fof(f22,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SET197-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.32  % Computer : n005.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Aug 30 13:26:03 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.17/0.44  % (25692)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.17/0.44  % (25684)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.47  % (25684)First to succeed.
% 0.17/0.47  % (25684)Refutation found. Thanks to Tanya!
% 0.17/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47  % (25684)------------------------------
% 0.17/0.47  % (25684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.47  % (25684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.47  % (25684)Termination reason: Refutation
% 0.17/0.47  
% 0.17/0.47  % (25684)Memory used [KB]: 5884
% 0.17/0.47  % (25684)Time elapsed: 0.084 s
% 0.17/0.47  % (25684)Instructions burned: 14 (million)
% 0.17/0.47  % (25684)------------------------------
% 0.17/0.47  % (25684)------------------------------
% 0.17/0.47  % (25670)Success in time 0.134 s
%------------------------------------------------------------------------------