TSTP Solution File: SET123-6 by SnakeForV-SAT---1.0

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET123-6 : 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 : n017.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 18:23:50 EDT 2022

% Result   : Unsatisfiable 0.16s 0.52s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   26 (  15 unt;   0 def)
%            Number of atoms       :   42 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   35 (  19   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f260,plain,
    $false,
    inference(subsumption_resolution,[],[f259,f94]) ).

fof(f94,axiom,
    x != y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_set_builder_alternate_defn1_2) ).

fof(f259,plain,
    x = y,
    inference(duplicate_literal_removal,[],[f257]) ).

fof(f257,plain,
    ( x = y
    | x = y ),
    inference(resolution,[],[f256,f8]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,unordered_pair(X0,X1))
      | X0 = X2
      | X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).

fof(f256,plain,
    member(x,unordered_pair(y,y)),
    inference(subsumption_resolution,[],[f255,f198]) ).

fof(f198,plain,
    member(x,universal_class),
    inference(resolution,[],[f162,f114]) ).

fof(f114,plain,
    member(x,complement(intersection(complement(unordered_pair(y,y)),complement(z)))),
    inference(definition_unfolding,[],[f93,f101]) ).

fof(f101,plain,
    ! [X0,X1] : set_builder(X0,X1) = complement(intersection(complement(unordered_pair(X0,X0)),complement(X1))),
    inference(definition_unfolding,[],[f92,f26,f12]) ).

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

fof(f26,axiom,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).

fof(f92,axiom,
    ! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_set_builder) ).

fof(f93,axiom,
    member(x,set_builder(y,z)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_set_builder_alternate_defn1_1) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ~ member(X0,X1)
      | member(X0,universal_class) ),
    inference(resolution,[],[f1,f4]) ).

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

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

fof(f255,plain,
    ( member(x,unordered_pair(y,y))
    | ~ member(x,universal_class) ),
    inference(resolution,[],[f254,f25]) ).

fof(f25,axiom,
    ! [X0,X4] :
      ( member(X4,complement(X0))
      | ~ member(X4,universal_class)
      | member(X4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).

fof(f254,plain,
    ~ member(x,complement(unordered_pair(y,y))),
    inference(subsumption_resolution,[],[f253,f95]) ).

fof(f95,axiom,
    ~ member(x,z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_set_builder_alternate_defn1_3) ).

fof(f253,plain,
    ( member(x,z)
    | ~ member(x,complement(unordered_pair(y,y))) ),
    inference(subsumption_resolution,[],[f252,f198]) ).

fof(f252,plain,
    ( ~ member(x,complement(unordered_pair(y,y)))
    | ~ member(x,universal_class)
    | member(x,z) ),
    inference(resolution,[],[f246,f25]) ).

fof(f246,plain,
    ( ~ member(x,complement(z))
    | ~ member(x,complement(unordered_pair(y,y))) ),
    inference(resolution,[],[f23,f151]) ).

fof(f151,plain,
    ~ member(x,intersection(complement(unordered_pair(y,y)),complement(z))),
    inference(resolution,[],[f24,f114]) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,complement(X0))
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).

fof(f23,axiom,
    ! [X0,X1,X4] :
      ( member(X4,intersection(X0,X1))
      | ~ member(X4,X0)
      | ~ member(X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SET123-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.05/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.32  % Computer : n017.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Aug 30 12:44:50 EDT 2022
% 0.10/0.32  % CPUTime    : 
% 0.16/0.47  % (1766)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)
% 0.16/0.47  % (1767)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)
% 0.16/0.47  % (1758)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)
% 0.16/0.47  % (1759)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.49  % (1775)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 (2999ds/498Mi)
% 0.16/0.50  % (1759)Instruction limit reached!
% 0.16/0.50  % (1759)------------------------------
% 0.16/0.50  % (1759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (1759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (1759)Termination reason: Unknown
% 0.16/0.50  % (1759)Termination phase: Saturation
% 0.16/0.50  
% 0.16/0.50  % (1759)Memory used [KB]: 5628
% 0.16/0.50  % (1759)Time elapsed: 0.124 s
% 0.16/0.50  % (1759)Instructions burned: 7 (million)
% 0.16/0.50  % (1759)------------------------------
% 0.16/0.50  % (1759)------------------------------
% 0.16/0.50  % (1776)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.50  % (1756)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.50  % (1751)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.16/0.51  % (1775)First to succeed.
% 0.16/0.52  % (1753)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.16/0.52  % (1768)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.52  % (1757)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)
% 0.16/0.52  % (1783)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.52  % (1775)Refutation found. Thanks to Tanya!
% 0.16/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.52  % (1775)------------------------------
% 0.16/0.52  % (1775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52  % (1775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52  % (1775)Termination reason: Refutation
% 0.16/0.52  
% 0.16/0.52  % (1775)Memory used [KB]: 1151
% 0.16/0.52  % (1775)Time elapsed: 0.136 s
% 0.16/0.52  % (1775)Instructions burned: 11 (million)
% 0.16/0.52  % (1775)------------------------------
% 0.16/0.52  % (1775)------------------------------
% 0.16/0.52  % (1750)Success in time 0.2 s
%------------------------------------------------------------------------------