TSTP Solution File: SET154-6 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET154-6 : 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 18:23:58 EDT 2022

% Result   : Unsatisfiable 0.19s 0.55s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   21 (  12 unt;   0 def)
%            Number of atoms       :   32 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  16   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f253,plain,
    $false,
    inference(subsumption_resolution,[],[f251,f246]) ).

fof(f246,plain,
    member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(x)))),complement(x)),
    inference(resolution,[],[f245,f22]) ).

fof(f22,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).

fof(f245,plain,
    member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(x)))),intersection(complement(complement(x)),complement(x))),
    inference(subsumption_resolution,[],[f244,f232]) ).

fof(f232,plain,
    member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(x)))),universal_class),
    inference(resolution,[],[f229,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).

fof(f229,plain,
    ~ subclass(universal_class,complement(intersection(complement(complement(x)),complement(x)))),
    inference(subsumption_resolution,[],[f214,f4]) ).

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

fof(f214,plain,
    ( ~ subclass(complement(intersection(complement(complement(x)),complement(x))),universal_class)
    | ~ subclass(universal_class,complement(intersection(complement(complement(x)),complement(x)))) ),
    inference(extensionality_resolution,[],[f7,f146]) ).

fof(f146,plain,
    universal_class != complement(intersection(complement(complement(x)),complement(x))),
    inference(definition_unfolding,[],[f113,f26]) ).

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

fof(f113,axiom,
    universal_class != union(complement(x),x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_union_with_complement_1) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ subclass(X1,X0)
      | ~ subclass(X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).

fof(f244,plain,
    ( member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(x)))),intersection(complement(complement(x)),complement(x)))
    | ~ member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(x)))),universal_class) ),
    inference(resolution,[],[f25,f231]) ).

fof(f231,plain,
    ~ member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(x)))),complement(intersection(complement(complement(x)),complement(x)))),
    inference(resolution,[],[f229,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | ~ member(not_subclass_element(X0,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).

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

fof(f251,plain,
    ~ member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(x)))),complement(x)),
    inference(resolution,[],[f247,f24]) ).

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

fof(f247,plain,
    member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(x)))),complement(complement(x))),
    inference(resolution,[],[f245,f21]) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET154-6 : 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_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n028.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 13:32:18 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (25409)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)
% 0.19/0.51  % (25410)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52  % (25410)Instruction limit reached!
% 0.19/0.52  % (25410)------------------------------
% 0.19/0.52  % (25410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (25410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (25410)Termination reason: Unknown
% 0.19/0.52  % (25410)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (25410)Memory used [KB]: 5500
% 0.19/0.52  % (25410)Time elapsed: 0.108 s
% 0.19/0.52  % (25410)Instructions burned: 7 (million)
% 0.19/0.52  % (25410)------------------------------
% 0.19/0.52  % (25410)------------------------------
% 0.19/0.52  % (25426)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)
% 0.19/0.52  % (25418)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)
% 0.19/0.52  % (25425)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)
% 0.19/0.52  % (25417)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)
% 0.19/0.53  % (25425)First to succeed.
% 0.19/0.53  % (25411)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (25411)Instruction limit reached!
% 0.19/0.53  % (25411)------------------------------
% 0.19/0.53  % (25411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (25411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (25411)Termination reason: Unknown
% 0.19/0.53  % (25411)Termination phase: Function definition elimination
% 0.19/0.53  
% 0.19/0.53  % (25411)Memory used [KB]: 895
% 0.19/0.53  % (25411)Time elapsed: 0.002 s
% 0.19/0.53  % (25411)Instructions burned: 2 (million)
% 0.19/0.53  % (25411)------------------------------
% 0.19/0.53  % (25411)------------------------------
% 0.19/0.54  % (25413)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (25427)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54  % (25414)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (25420)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.55  % (25425)Refutation found. Thanks to Tanya!
% 0.19/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55  % (25425)------------------------------
% 0.19/0.55  % (25425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (25425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (25425)Termination reason: Refutation
% 0.19/0.55  
% 0.19/0.55  % (25425)Memory used [KB]: 1151
% 0.19/0.55  % (25425)Time elapsed: 0.131 s
% 0.19/0.55  % (25425)Instructions burned: 11 (million)
% 0.19/0.55  % (25425)------------------------------
% 0.19/0.55  % (25425)------------------------------
% 0.19/0.55  % (25402)Success in time 0.197 s
%------------------------------------------------------------------------------