%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET115-7 : 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_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 18:19:21 EDT 2022

% Result   : Unsatisfiable 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (  10 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :   11 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   1 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f257,plain,
    $false,
    inference(global_subsumption,[],[f161,f256]) ).

fof(f256,plain,
    x = first(x),
    inference(trivial_inequality_removal,[],[f253]) ).

fof(f253,plain,
    ( x = first(x)
    | x != x ),
    inference(superposition,[],[f207,f239]) ).

fof(f239,plain,
    ! [X0] :
      ( complement(intersection(complement(singleton(singleton(first(X0)))),complement(singleton(complement(intersection(complement(singleton(first(X0))),complement(singleton(singleton(second(X0)))))))))) = X0
      | first(X0) = X0 ),
    inference(definition_unfolding,[],[f156,f163]) ).

fof(f163,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = complement(intersection(complement(singleton(singleton(X0))),complement(singleton(complement(intersection(complement(singleton(X0)),complement(singleton(singleton(X1))))))))),
    inference(definition_unfolding,[],[f13,f162,f162]) ).

fof(f162,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = complement(intersection(complement(singleton(X0)),complement(singleton(X1)))),
    inference(definition_unfolding,[],[f144,f26]) ).

fof(f26,axiom,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).

fof(f144,axiom,
    ! [X0,X1] : unordered_pair(X0,X1) = union(singleton(X0),singleton(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pairs_and_singletons) ).

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(f156,axiom,
    ! [X0] :
      ( ordered_pair(first(X0),second(X0)) = X0
      | first(X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_1st_and_2nd_4) ).

fof(f207,plain,
    x != complement(intersection(complement(singleton(singleton(first(x)))),complement(singleton(complement(intersection(complement(singleton(first(x))),complement(singleton(singleton(second(x)))))))))),
    inference(definition_unfolding,[],[f160,f163]) ).

fof(f160,axiom,
    x != ordered_pair(first(x),second(x)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_non_sets3_1) ).

fof(f161,axiom,
    x != first(x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unique_1st_in_pair_of_non_sets) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET115-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n020.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 13:21:15 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.47  % (27960)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.48  % (27968)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.21/0.48  % (27960)Instruction limit reached!
% 0.21/0.48  % (27960)------------------------------
% 0.21/0.48  % (27960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.48  % (27960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.48  % (27960)Termination reason: Unknown
% 0.21/0.48  % (27960)Termination phase: Property scanning
% 0.21/0.48  
% 0.21/0.48  % (27960)Memory used [KB]: 1407
% 0.21/0.48  % (27960)Time elapsed: 0.006 s
% 0.21/0.48  % (27960)Instructions burned: 6 (million)
% 0.21/0.48  % (27960)------------------------------
% 0.21/0.48  % (27960)------------------------------
% 0.21/0.50  % (27968)First to succeed.
% 0.21/0.51  % (27968)Refutation found. Thanks to Tanya!
% 0.21/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51  % (27968)------------------------------
% 0.21/0.51  % (27968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (27968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (27968)Termination reason: Refutation
% 0.21/0.51  
% 0.21/0.51  % (27968)Memory used [KB]: 10874
% 0.21/0.51  % (27968)Time elapsed: 0.083 s
% 0.21/0.51  % (27968)Instructions burned: 22 (million)
% 0.21/0.51  % (27968)------------------------------
% 0.21/0.51  % (27968)------------------------------
% 0.21/0.51  % (27949)Success in time 0.158 s
%------------------------------------------------------------------------------