TSTP Solution File: SET084-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET084-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n009.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 : Tue May 21 03:08:38 EDT 2024

% Result   : Unsatisfiable 0.55s 0.78s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   21 (   8 unt;   0 def)
%            Number of atoms       :   36 (  13 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   28 (  13   ~;  13   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f401,plain,
    $false,
    inference(avatar_sat_refutation,[],[f372,f394,f400]) ).

fof(f400,plain,
    ~ spl0_24,
    inference(avatar_contradiction_clause,[],[f399]) ).

fof(f399,plain,
    ( $false
    | ~ spl0_24 ),
    inference(trivial_inequality_removal,[],[f398]) ).

fof(f398,plain,
    ( y != y
    | ~ spl0_24 ),
    inference(superposition,[],[f94,f370]) ).

fof(f370,plain,
    ( x = y
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f368,plain,
    ( spl0_24
  <=> x = y ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f94,axiom,
    x != y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_3) ).

fof(f394,plain,
    spl0_23,
    inference(avatar_contradiction_clause,[],[f392]) ).

fof(f392,plain,
    ( $false
    | spl0_23 ),
    inference(resolution,[],[f366,f93]) ).

fof(f93,axiom,
    member(y,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_2) ).

fof(f366,plain,
    ( ~ member(y,universal_class)
    | spl0_23 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f364,plain,
    ( spl0_23
  <=> member(y,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f372,plain,
    ( ~ spl0_23
    | spl0_24 ),
    inference(avatar_split_clause,[],[f358,f368,f364]) ).

fof(f358,plain,
    ( x = y
    | ~ member(y,universal_class) ),
    inference(resolution,[],[f336,f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( member(X1,unordered_pair(X0,X1))
      | ~ member(X1,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).

fof(f336,plain,
    ! [X0] :
      ( ~ member(X0,unordered_pair(y,y))
      | x = X0 ),
    inference(duplicate_literal_removal,[],[f335]) ).

fof(f335,plain,
    ! [X0] :
      ( ~ member(X0,unordered_pair(y,y))
      | x = X0
      | x = X0 ),
    inference(superposition,[],[f8,f143]) ).

fof(f143,plain,
    unordered_pair(x,x) = unordered_pair(y,y),
    inference(definition_unfolding,[],[f92,f12,f12]) ).

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

fof(f92,axiom,
    singleton(x) = singleton(y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_1) ).

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) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SET084-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.06/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n009.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   : Mon May 20 12:35:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.77  % (12606)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.55/0.77  % (12599)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.55/0.77  % (12606)Refutation not found, incomplete strategy% (12606)------------------------------
% 0.55/0.77  % (12606)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77  % (12606)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.77  
% 0.55/0.77  % (12606)Memory used [KB]: 1062
% 0.55/0.77  % (12606)Time elapsed: 0.002 s
% 0.55/0.77  % (12606)Instructions burned: 2 (million)
% 0.55/0.77  % (12601)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.55/0.77  % (12606)------------------------------
% 0.55/0.77  % (12606)------------------------------
% 0.55/0.77  % (12605)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.55/0.77  % (12602)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.55/0.77  % (12600)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.55/0.77  % (12607)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.55/0.77  % (12603)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.55/0.77  % (12602)Refutation not found, incomplete strategy% (12602)------------------------------
% 0.55/0.77  % (12602)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77  % (12602)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.77  
% 0.55/0.77  % (12602)Memory used [KB]: 1063
% 0.55/0.77  % (12602)Time elapsed: 0.002 s
% 0.55/0.77  % (12602)Instructions burned: 2 (million)
% 0.55/0.77  % (12602)------------------------------
% 0.55/0.77  % (12602)------------------------------
% 0.55/0.77  % (12607)Refutation not found, incomplete strategy% (12607)------------------------------
% 0.55/0.77  % (12607)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77  % (12607)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.77  
% 0.55/0.77  % (12607)Memory used [KB]: 1063
% 0.55/0.77  % (12607)Time elapsed: 0.002 s
% 0.55/0.77  % (12607)Instructions burned: 2 (million)
% 0.55/0.77  % (12607)------------------------------
% 0.55/0.77  % (12607)------------------------------
% 0.55/0.77  % (12601)Refutation not found, incomplete strategy% (12601)------------------------------
% 0.55/0.77  % (12601)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77  % (12601)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.77  
% 0.55/0.77  % (12601)Memory used [KB]: 1063
% 0.55/0.77  % (12601)Time elapsed: 0.004 s
% 0.55/0.77  % (12601)Instructions burned: 2 (million)
% 0.55/0.77  % (12601)------------------------------
% 0.55/0.77  % (12601)------------------------------
% 0.55/0.78  % (12608)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.55/0.78  % (12609)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.55/0.78  % (12610)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.55/0.78  % (12604)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.55/0.78  % (12609)Refutation not found, incomplete strategy% (12609)------------------------------
% 0.55/0.78  % (12609)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78  % (12609)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78  
% 0.55/0.78  % (12609)Memory used [KB]: 1098
% 0.55/0.78  % (12609)Time elapsed: 0.005 s
% 0.55/0.78  % (12609)Instructions burned: 6 (million)
% 0.55/0.78  % (12604)Refutation not found, incomplete strategy% (12604)------------------------------
% 0.55/0.78  % (12604)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78  % (12604)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.78  
% 0.55/0.78  % (12604)Memory used [KB]: 1062
% 0.55/0.78  % (12604)Time elapsed: 0.025 s
% 0.55/0.78  % (12604)Instructions burned: 2 (million)
% 0.55/0.78  % (12609)------------------------------
% 0.55/0.78  % (12609)------------------------------
% 0.55/0.78  % (12604)------------------------------
% 0.55/0.78  % (12604)------------------------------
% 0.55/0.78  % (12600)First to succeed.
% 0.55/0.78  % (12600)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12598"
% 0.55/0.78  % (12600)Refutation found. Thanks to Tanya!
% 0.55/0.78  % SZS status Unsatisfiable for theBenchmark
% 0.55/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.78  % (12600)------------------------------
% 0.55/0.78  % (12600)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78  % (12600)Termination reason: Refutation
% 0.55/0.78  
% 0.55/0.78  % (12600)Memory used [KB]: 1257
% 0.55/0.78  % (12600)Time elapsed: 0.013 s
% 0.55/0.78  % (12600)Instructions burned: 16 (million)
% 0.55/0.78  % (12598)Success in time 0.42 s
% 0.55/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------