TSTP Solution File: SET084-7 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET084-7 : 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_uns --cores 0 -t %d %s

% Computer : n026.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 18:19:01 EDT 2022

% Result   : Unsatisfiable 0.20s 0.63s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   12 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f139,plain,
    $false,
    inference(subsumption_resolution,[],[f138,f129]) ).

fof(f129,axiom,
    x != y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_3) ).

fof(f138,plain,
    x = y,
    inference(resolution,[],[f137,f134]) ).

fof(f134,plain,
    member(y,singleton(y)),
    inference(resolution,[],[f122,f128]) ).

fof(f128,axiom,
    member(y,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_2) ).

fof(f122,axiom,
    ! [X0] :
      ( ~ member(X0,universal_class)
      | member(X0,singleton(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_in_its_singleton) ).

fof(f137,plain,
    ! [X0] :
      ( ~ member(X0,singleton(y))
      | x = X0 ),
    inference(superposition,[],[f125,f127]) ).

fof(f127,axiom,
    singleton(x) = singleton(y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_1) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( ~ member(X1,singleton(X0))
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SET084-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n026.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 13:25:51 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.13/0.36  ipcrm: permission denied for id (678821892)
% 0.13/0.36  ipcrm: permission denied for id (678985735)
% 0.13/0.36  ipcrm: permission denied for id (679084042)
% 0.13/0.37  ipcrm: permission denied for id (679149580)
% 0.13/0.37  ipcrm: permission denied for id (679215117)
% 0.13/0.37  ipcrm: permission denied for id (679280655)
% 0.13/0.37  ipcrm: permission denied for id (679313424)
% 0.13/0.37  ipcrm: permission denied for id (679346193)
% 0.13/0.37  ipcrm: permission denied for id (679444500)
% 0.13/0.38  ipcrm: permission denied for id (678461461)
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% 0.13/0.40  ipcrm: permission denied for id (680001575)
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% 0.20/0.43  ipcrm: permission denied for id (681017411)
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% 0.20/0.44  ipcrm: permission denied for id (681115718)
% 0.20/0.44  ipcrm: permission denied for id (681214025)
% 0.20/0.44  ipcrm: permission denied for id (681279563)
% 0.20/0.44  ipcrm: permission denied for id (681312332)
% 0.20/0.44  ipcrm: permission denied for id (681345101)
% 0.20/0.45  ipcrm: permission denied for id (681410639)
% 0.20/0.45  ipcrm: permission denied for id (678559824)
% 0.20/0.45  ipcrm: permission denied for id (681443409)
% 0.20/0.45  ipcrm: permission denied for id (681574485)
% 0.20/0.45  ipcrm: permission denied for id (681607254)
% 0.20/0.46  ipcrm: permission denied for id (681738329)
% 0.20/0.46  ipcrm: permission denied for id (681836635)
% 0.20/0.46  ipcrm: permission denied for id (681869404)
% 0.20/0.46  ipcrm: permission denied for id (681934942)
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% 0.20/0.47  ipcrm: permission denied for id (682033249)
% 0.20/0.47  ipcrm: permission denied for id (682066018)
% 0.20/0.47  ipcrm: permission denied for id (682131556)
% 0.20/0.47  ipcrm: permission denied for id (682197094)
% 0.20/0.47  ipcrm: permission denied for id (682229863)
% 0.20/0.48  ipcrm: permission denied for id (682262632)
% 0.20/0.48  ipcrm: permission denied for id (682328170)
% 0.20/0.48  ipcrm: permission denied for id (682426477)
% 0.20/0.48  ipcrm: permission denied for id (682492015)
% 0.20/0.49  ipcrm: permission denied for id (682524784)
% 0.20/0.49  ipcrm: permission denied for id (682557553)
% 0.20/0.49  ipcrm: permission denied for id (682688629)
% 0.20/0.50  ipcrm: permission denied for id (682819705)
% 0.20/0.50  ipcrm: permission denied for id (682852474)
% 0.20/0.50  ipcrm: permission denied for id (682885243)
% 0.20/0.50  ipcrm: permission denied for id (682918012)
% 0.20/0.50  ipcrm: permission denied for id (682950781)
% 0.20/0.61  % (11034)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/23Mi)
% 0.20/0.62  % (11045)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/97Mi)
% 0.20/0.62  % (11034)First to succeed.
% 0.20/0.63  % (11025)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/43Mi)
% 0.20/0.63  % (11034)Refutation found. Thanks to Tanya!
% 0.20/0.63  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.63  % (11034)------------------------------
% 0.20/0.63  % (11034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.63  % (11034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.63  % (11034)Termination reason: Refutation
% 0.20/0.63  
% 0.20/0.63  % (11034)Memory used [KB]: 5884
% 0.20/0.63  % (11034)Time elapsed: 0.074 s
% 0.20/0.63  % (11034)Instructions burned: 5 (million)
% 0.20/0.63  % (11034)------------------------------
% 0.20/0.63  % (11034)------------------------------
% 0.20/0.63  % (10794)Success in time 0.281 s
%------------------------------------------------------------------------------