TSTP Solution File: SET101-7 by SnakeForV-SAT---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET101-7 : 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 18:23:43 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (  10 unt;   0 def)
%            Number of atoms       :   14 (   3 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    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f705,plain,
    $false,
    inference(subsumption_resolution,[],[f704,f152]) ).

fof(f152,plain,
    ~ member(sF0,sF1),
    inference(definition_folding,[],[f146,f151,f150]) ).

fof(f150,plain,
    singleton(x) = sF0,
    introduced(function_definition,[]) ).

fof(f151,plain,
    ordered_pair(x,y) = sF1,
    introduced(function_definition,[]) ).

fof(f146,axiom,
    ~ member(singleton(x),ordered_pair(x,y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_member_of_ordered_pair_1) ).

fof(f704,plain,
    member(sF0,sF1),
    inference(forward_demodulation,[],[f703,f150]) ).

fof(f703,plain,
    member(singleton(x),sF1),
    inference(superposition,[],[f668,f151]) ).

fof(f668,plain,
    ! [X6,X5] : member(singleton(X5),ordered_pair(X5,X6)),
    inference(subsumption_resolution,[],[f658,f120]) ).

fof(f120,axiom,
    ! [X0] : member(singleton(X0),universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singletons_are_sets) ).

fof(f658,plain,
    ! [X6,X5] :
      ( member(singleton(X5),ordered_pair(X5,X6))
      | ~ member(singleton(X5),universal_class) ),
    inference(superposition,[],[f9,f13]) ).

fof(f13,axiom,
    ! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( member(X0,unordered_pair(X0,X1))
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET101-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n016.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 16:33:01 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.45  % (27785)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)
% 0.19/0.46  % (27777)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.47  % (27777)Instruction limit reached!
% 0.19/0.47  % (27777)------------------------------
% 0.19/0.47  % (27777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (27777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (27777)Termination reason: Unknown
% 0.19/0.47  % (27777)Termination phase: Saturation
% 0.19/0.47  
% 0.19/0.47  % (27777)Memory used [KB]: 5500
% 0.19/0.47  % (27777)Time elapsed: 0.006 s
% 0.19/0.47  % (27777)Instructions burned: 7 (million)
% 0.19/0.47  % (27777)------------------------------
% 0.19/0.47  % (27777)------------------------------
% 0.19/0.48  % (27785)First to succeed.
% 0.19/0.49  % (27785)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (27785)------------------------------
% 0.19/0.49  % (27785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (27785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (27785)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (27785)Memory used [KB]: 1535
% 0.19/0.49  % (27785)Time elapsed: 0.076 s
% 0.19/0.49  % (27785)Instructions burned: 33 (million)
% 0.19/0.49  % (27785)------------------------------
% 0.19/0.49  % (27785)------------------------------
% 0.19/0.49  % (27769)Success in time 0.141 s
%------------------------------------------------------------------------------