%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET093+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 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 18:23:39 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (  13 unt;   0 def)
%            Number of atoms       :   19 (  10 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   3   ~;   0   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :    9 (   8   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f242,plain,
    $false,
    inference(resolution,[],[f241,f129]) ).

fof(f129,plain,
    ~ member(sK0,universal_class),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ? [X0] :
      ( singleton(member_of(X0)) = X0
      & ~ member(X0,universal_class) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,negated_conjecture,
    ~ ! [X0] :
        ( singleton(member_of(X0)) = X0
       => member(X0,universal_class) ),
    inference(negated_conjecture,[],[f48]) ).

fof(f48,conjecture,
    ! [X0] :
      ( singleton(member_of(X0)) = X0
     => member(X0,universal_class) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_to_singletons_are_sets) ).

fof(f241,plain,
    member(sK0,universal_class),
    inference(forward_demodulation,[],[f240,f238]) ).

fof(f238,plain,
    sK0 = sF8,
    inference(definition_folding,[],[f211,f237,f236,f236]) ).

fof(f236,plain,
    member_of(sK0) = sF7,
    introduced(function_definition,[]) ).

fof(f237,plain,
    unordered_pair(sF7,sF7) = sF8,
    introduced(function_definition,[]) ).

fof(f211,plain,
    unordered_pair(member_of(sK0),member_of(sK0)) = sK0,
    inference(definition_unfolding,[],[f130,f153]) ).

fof(f153,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(f130,plain,
    sK0 = singleton(member_of(sK0)),
    inference(cnf_transformation,[],[f89]) ).

fof(f240,plain,
    member(sF8,universal_class),
    inference(superposition,[],[f160,f237]) ).

fof(f160,plain,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    inference(cnf_transformation,[],[f5]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET093+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 13:26:35 EDT 2022
% 0.12/0.35  % CPUTime    : 
% 0.20/0.51  % (11517)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (11532)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51  % (11538)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.52  % (11529)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.52  % (11521)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (11519)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52  % (11517)First to succeed.
% 0.20/0.52  % (11517)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
% 0.20/0.53  % (11517)------------------------------
% 0.20/0.53  % (11517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (11517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (11517)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (11517)Memory used [KB]: 5500
% 0.20/0.53  % (11517)Time elapsed: 0.117 s
% 0.20/0.53  % (11517)Instructions burned: 7 (million)
% 0.20/0.53  % (11517)------------------------------
% 0.20/0.53  % (11517)------------------------------
% 0.20/0.53  % (11512)Success in time 0.171 s
%------------------------------------------------------------------------------