%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET252-6 : 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 : n025.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 18:24:18 EDT 2022

% Result   : Unsatisfiable 0.15s 0.44s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   7 unt;   0 def)
%            Number of atoms       :   13 (   1 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f195,plain,
    $false,
    inference(subsumption_resolution,[],[f193,f186]) ).

fof(f186,plain,
    ~ member(not_subclass_element(intersection(x,cross_product(y,z)),x),x),
    inference(resolution,[],[f3,f153]) ).

fof(f153,plain,
    ~ subclass(intersection(x,cross_product(y,z)),x),
    inference(definition_unfolding,[],[f113,f28]) ).

fof(f28,axiom,
    ! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).

fof(f113,axiom,
    ~ subclass(restrict(x,y,z),x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_property3_1) ).

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

fof(f193,plain,
    member(not_subclass_element(intersection(x,cross_product(y,z)),x),x),
    inference(resolution,[],[f21,f185]) ).

fof(f185,plain,
    member(not_subclass_element(intersection(x,cross_product(y,z)),x),intersection(x,cross_product(y,z))),
    inference(resolution,[],[f2,f153]) ).

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

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : SET252-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31  % Computer : n025.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 13:40:44 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.15/0.42  % (19882)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.43  % (19890)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.15/0.44  % (19890)First to succeed.
% 0.15/0.44  % (19890)Refutation found. Thanks to Tanya!
% 0.15/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.44  % (19890)------------------------------
% 0.15/0.44  % (19890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.44  % (19890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.44  % (19890)Termination reason: Refutation
% 0.15/0.44  
% 0.15/0.44  % (19890)Memory used [KB]: 1151
% 0.15/0.44  % (19890)Time elapsed: 0.066 s
% 0.15/0.44  % (19890)Instructions burned: 7 (million)
% 0.15/0.44  % (19890)------------------------------
% 0.15/0.44  % (19890)------------------------------
% 0.15/0.44  % (19867)Success in time 0.125 s
%------------------------------------------------------------------------------