%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET094-7 : 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 : n016.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   : Unsatisfiable 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (  10 unt;   0 def)
%            Number of atoms       :   14 (  10 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f201,plain,
    $false,
    inference(subsumption_resolution,[],[f199,f145]) ).

fof(f145,plain,
    y != sF0,
    inference(definition_folding,[],[f140,f144]) ).

fof(f144,plain,
    member_of(x) = sF0,
    introduced(function_definition,[]) ).

fof(f140,axiom,
    member_of(x) != y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons1_3) ).

fof(f199,plain,
    y = sF0,
    inference(resolution,[],[f193,f139]) ).

fof(f139,axiom,
    member(y,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons1_2) ).

fof(f193,plain,
    ! [X0] :
      ( ~ member(X0,x)
      | sF0 = X0 ),
    inference(superposition,[],[f125,f148]) ).

fof(f148,plain,
    x = singleton(sF0),
    inference(forward_demodulation,[],[f146,f147]) ).

fof(f147,plain,
    x = sF1,
    inference(definition_folding,[],[f138,f146,f144]) ).

fof(f138,axiom,
    x = singleton(member_of(x)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons1_1) ).

fof(f146,plain,
    singleton(sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( ~ member(X1,singleton(X0))
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SET094-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n016.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 13:38:01 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  % (13836)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)
% 0.18/0.47  % (13831)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.47  % (13844)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)
% 0.18/0.49  % (13836)First to succeed.
% 0.18/0.49  % (13828)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49  % (13822)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.50  % (13828)Instruction limit reached!
% 0.18/0.50  % (13828)------------------------------
% 0.18/0.50  % (13828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (13828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (13828)Termination reason: Unknown
% 0.18/0.50  % (13828)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (13828)Memory used [KB]: 5500
% 0.18/0.50  % (13828)Time elapsed: 0.007 s
% 0.18/0.50  % (13828)Instructions burned: 7 (million)
% 0.18/0.50  % (13828)------------------------------
% 0.18/0.50  % (13828)------------------------------
% 0.18/0.50  % (13836)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (13836)------------------------------
% 0.18/0.50  % (13836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (13836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (13836)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (13836)Memory used [KB]: 1151
% 0.18/0.50  % (13836)Time elapsed: 0.083 s
% 0.18/0.50  % (13836)Instructions burned: 9 (million)
% 0.18/0.50  % (13836)------------------------------
% 0.18/0.50  % (13836)------------------------------
% 0.18/0.50  % (13818)Success in time 0.161 s
%------------------------------------------------------------------------------