%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET077+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : n015.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 18:23:33 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (  13 unt;   0 def)
%            Number of atoms       :   15 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (  12   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f288,plain,
    $false,
    inference(resolution,[],[f197,f255]) ).

fof(f255,plain,
    ~ member(unordered_pair(sK1,sK1),universal_class),
    inference(definition_unfolding,[],[f172,f225]) ).

fof(f225,plain,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set_defn) ).

fof(f172,plain,
    ~ member(singleton(sK1),universal_class),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ~ member(singleton(sK1),universal_class),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f85,f104]) ).

fof(f104,plain,
    ( ? [X0] : ~ member(singleton(X0),universal_class)
   => ~ member(singleton(sK1),universal_class) ),
    introduced(choice_axiom,[]) ).

fof(f85,plain,
    ? [X0] : ~ member(singleton(X0),universal_class),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,negated_conjecture,
    ~ ! [X0] : member(singleton(X0),universal_class),
    inference(negated_conjecture,[],[f44]) ).

fof(f44,conjecture,
    ! [X0] : member(singleton(X0),universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singletons_are_sets) ).

fof(f197,plain,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    inference(rectify,[],[f67]) ).

fof(f67,plain,
    ! [X1,X0] : member(unordered_pair(X1,X0),universal_class),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X1,X0] : member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SET077+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 13:21:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (29269)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)
% 0.20/0.50  % (29261)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)
% 0.20/0.50  % (29265)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51  % (29257)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  % (29253)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (29269)First to succeed.
% 0.20/0.52  % (29269)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (29269)------------------------------
% 0.20/0.52  % (29269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (29269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (29269)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (29269)Memory used [KB]: 1023
% 0.20/0.52  % (29269)Time elapsed: 0.066 s
% 0.20/0.52  % (29269)Instructions burned: 6 (million)
% 0.20/0.52  % (29269)------------------------------
% 0.20/0.52  % (29269)------------------------------
% 0.20/0.52  % (29246)Success in time 0.158 s
%------------------------------------------------------------------------------