%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET599+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n004.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 18:21:33 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (  15 unt;   0 def)
%            Number of atoms       :   17 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   9   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   24 (  18   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f56,plain,
    $false,
    inference(subsumption_resolution,[],[f53,f40]) ).

fof(f40,plain,
    ! [X0,X1] : subset(X0,union(X0,X1)),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] : subset(X0,union(X0,X1)),
    inference(rectify,[],[f12]) ).

fof(f12,plain,
    ! [X1,X0] : subset(X1,union(X1,X0)),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X1,X0] : subset(X0,union(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_of_union) ).

fof(f53,plain,
    ~ subset(difference(sK1,sK2),union(difference(sK1,sK2),difference(sK2,sK1))),
    inference(definition_unfolding,[],[f46,f47]) ).

fof(f47,plain,
    ! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetric_difference_defn) ).

fof(f46,plain,
    ~ subset(difference(sK1,sK2),symmetric_difference(sK1,sK2)),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ~ subset(difference(sK1,sK2),symmetric_difference(sK1,sK2)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f29,f30]) ).

fof(f30,plain,
    ( ? [X0,X1] : ~ subset(difference(X0,X1),symmetric_difference(X0,X1))
   => ~ subset(difference(sK1,sK2),symmetric_difference(sK1,sK2)) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ? [X0,X1] : ~ subset(difference(X0,X1),symmetric_difference(X0,X1)),
    inference(rectify,[],[f18]) ).

fof(f18,plain,
    ? [X1,X0] : ~ subset(difference(X1,X0),symmetric_difference(X1,X0)),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,plain,
    ~ ! [X0,X1] : subset(difference(X1,X0),symmetric_difference(X1,X0)),
    inference(rectify,[],[f10]) ).

fof(f10,negated_conjecture,
    ~ ! [X1,X0] : subset(difference(X0,X1),symmetric_difference(X0,X1)),
    inference(negated_conjecture,[],[f9]) ).

fof(f9,conjecture,
    ! [X1,X0] : subset(difference(X0,X1),symmetric_difference(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th58) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SET599+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 13:58:19 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (13944)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51  % (13952)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51  % (13952)First to succeed.
% 0.20/0.51  % (13952)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Theorem for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (13952)------------------------------
% 0.20/0.51  % (13952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (13952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (13952)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (13952)Memory used [KB]: 5884
% 0.20/0.51  % (13952)Time elapsed: 0.002 s
% 0.20/0.51  % (13952)Instructions burned: 2 (million)
% 0.20/0.51  % (13952)------------------------------
% 0.20/0.51  % (13952)------------------------------
% 0.20/0.51  % (13942)Success in time 0.162 s
%------------------------------------------------------------------------------