%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET080-6 : 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 : n028.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 18:23:34 EDT 2022

% Result   : Unsatisfiable 1.24s 0.52s
% Output   : Refutation 1.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   18 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (  11   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f191,plain,
    $false,
    inference(subsumption_resolution,[],[f50,f187]) ).

fof(f187,plain,
    ! [X0] : ~ inductive(X0),
    inference(subsumption_resolution,[],[f47,f184]) ).

fof(f184,plain,
    ! [X1] : ~ member(null_class,X1),
    inference(subsumption_resolution,[],[f161,f4]) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).

fof(f161,plain,
    ! [X1] :
      ( ~ subclass(X1,universal_class)
      | ~ member(null_class,X1) ),
    inference(resolution,[],[f1,f151]) ).

fof(f151,plain,
    ~ member(null_class,universal_class),
    inference(resolution,[],[f9,f111]) ).

fof(f111,plain,
    ~ member(null_class,unordered_pair(null_class,null_class)),
    inference(definition_unfolding,[],[f92,f12]) ).

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

fof(f92,axiom,
    ~ member(null_class,singleton(null_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_in_its_singleton_1) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( member(X0,unordered_pair(X0,X1))
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | ~ subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).

fof(f47,axiom,
    ! [X0] :
      ( member(null_class,X0)
      | ~ inductive(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inductive1) ).

fof(f50,axiom,
    inductive(omega),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega_is_inductive1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET080-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n028.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 13:19:48 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (16147)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  % (16151)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51  % (16160)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 (2999ds/68Mi)
% 0.20/0.52  % (16151)First to succeed.
% 0.20/0.52  % (16152)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.24/0.52  % (16163)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.24/0.52  % (16159)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.24/0.52  % (16151)Refutation found. Thanks to Tanya!
% 1.24/0.52  % SZS status Unsatisfiable for theBenchmark
% 1.24/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.24/0.52  % (16151)------------------------------
% 1.24/0.52  % (16151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.52  % (16151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.52  % (16151)Termination reason: Refutation
% 1.24/0.52  
% 1.24/0.52  % (16151)Memory used [KB]: 5628
% 1.24/0.52  % (16151)Time elapsed: 0.105 s
% 1.24/0.52  % (16151)Instructions burned: 8 (million)
% 1.24/0.52  % (16151)------------------------------
% 1.24/0.52  % (16151)------------------------------
% 1.24/0.52  % (16141)Success in time 0.165 s
%------------------------------------------------------------------------------