%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET016-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n029.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 18:23:07 EDT 2022

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (  11 unt;   0 def)
%            Number of atoms       :   20 (  11 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   5   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   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   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f31,plain,
    $false,
    inference(subsumption_resolution,[],[f26,f1]) ).

fof(f1,axiom,
    ! [X0] : member(X0,singleton_set(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_1) ).

fof(f26,plain,
    ~ member(m1,singleton_set(m1)),
    inference(backward_demodulation,[],[f12,f25]) ).

fof(f25,plain,
    singleton_set(m1) = singleton_set(m2),
    inference(subsumption_resolution,[],[f24,f12]) ).

fof(f24,plain,
    ( member(m1,singleton_set(m2))
    | singleton_set(m1) = singleton_set(m2) ),
    inference(superposition,[],[f3,f17]) ).

fof(f17,plain,
    ( singleton_set(m2) = unordered_pair(m1,r1)
    | singleton_set(m1) = singleton_set(m2) ),
    inference(resolution,[],[f5,f10]) ).

fof(f10,plain,
    member(singleton_set(m2),unordered_pair(singleton_set(m1),unordered_pair(m1,r1))),
    inference(superposition,[],[f3,f9]) ).

fof(f9,plain,
    unordered_pair(singleton_set(m2),unordered_pair(m2,r2)) = unordered_pair(singleton_set(m1),unordered_pair(m1,r1)),
    inference(definition_unfolding,[],[f7,f6,f6]) ).

fof(f6,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton_set(X0),unordered_pair(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).

fof(f7,axiom,
    ordered_pair(m1,r1) = ordered_pair(m2,r2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_ordered_pairs) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X1
      | X0 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_3) ).

fof(f3,axiom,
    ! [X0,X1] : member(X0,unordered_pair(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_1) ).

fof(f12,plain,
    ~ member(m1,singleton_set(m2)),
    inference(extensionality_resolution,[],[f2,f8]) ).

fof(f8,axiom,
    m1 != m2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_first_components_equal) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ member(X0,singleton_set(X1))
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SET016-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 13:03:12 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.46  % (16437)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.20/0.47  % (16429)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.20/0.47  % (16437)First to succeed.
% 0.20/0.48  % (16437)Refutation found. Thanks to Tanya!
% 0.20/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48  % (16437)------------------------------
% 0.20/0.48  % (16437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (16437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (16437)Termination reason: Refutation
% 0.20/0.48  
% 0.20/0.48  % (16437)Memory used [KB]: 895
% 0.20/0.48  % (16437)Time elapsed: 0.070 s
% 0.20/0.48  % (16437)Instructions burned: 3 (million)
% 0.20/0.48  % (16437)------------------------------
% 0.20/0.48  % (16437)------------------------------
% 0.20/0.48  % (16414)Success in time 0.129 s
%------------------------------------------------------------------------------