%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET078-7 : 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_uns --cores 0 -t %d %s

% Computer : n020.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 18:18:58 EDT 2022

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            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 :    7 (   5   ~;   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    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f273,plain,
    $false,
    inference(subsumption_resolution,[],[f272,f188]) ).

fof(f188,plain,
    ~ member(sF0,sF1),
    inference(definition_folding,[],[f146,f187,f186,f186]) ).

fof(f186,plain,
    unordered_pair(y,y) = sF0,
    introduced(function_definition,[]) ).

fof(f187,plain,
    unordered_pair(x,sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f146,plain,
    ~ member(unordered_pair(y,y),unordered_pair(x,unordered_pair(y,y))),
    inference(definition_unfolding,[],[f121,f12,f12]) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).

fof(f121,axiom,
    ~ member(singleton(y),unordered_pair(x,singleton(y))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_singletons_are_sets_1) ).

fof(f272,plain,
    member(sF0,sF1),
    inference(subsumption_resolution,[],[f269,f211]) ).

fof(f211,plain,
    member(sF0,universal_class),
    inference(superposition,[],[f11,f186]) ).

fof(f11,axiom,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).

fof(f269,plain,
    ( ~ member(sF0,universal_class)
    | member(sF0,sF1) ),
    inference(superposition,[],[f10,f187]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( member(X1,unordered_pair(X0,X1))
      | ~ member(X1,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SET078-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n020.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 13:12:15 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.48  % (2927)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.49  % (2927)First to succeed.
% 0.21/0.50  % (2935)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.50  % (2935)Instruction limit reached!
% 0.21/0.50  % (2935)------------------------------
% 0.21/0.50  % (2935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (2935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (2935)Termination reason: Unknown
% 0.21/0.50  % (2935)Termination phase: Property scanning
% 0.21/0.50  
% 0.21/0.50  % (2935)Memory used [KB]: 1407
% 0.21/0.50  % (2935)Time elapsed: 0.003 s
% 0.21/0.50  % (2935)Instructions burned: 4 (million)
% 0.21/0.50  % (2935)------------------------------
% 0.21/0.50  % (2935)------------------------------
% 0.21/0.50  % (2927)Refutation found. Thanks to Tanya!
% 0.21/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50  % (2927)------------------------------
% 0.21/0.50  % (2927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (2927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (2927)Termination reason: Refutation
% 0.21/0.50  
% 0.21/0.50  % (2927)Memory used [KB]: 6396
% 0.21/0.50  % (2927)Time elapsed: 0.067 s
% 0.21/0.50  % (2927)Instructions burned: 24 (million)
% 0.21/0.50  % (2927)------------------------------
% 0.21/0.50  % (2927)------------------------------
% 0.21/0.50  % (2921)Success in time 0.141 s
%------------------------------------------------------------------------------