TSTP Solution File: SYN960+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN960+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n021.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 08:33:11 EDT 2024

% Result   : Theorem 0.72s 0.90s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   24 (   1 unt;   0 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   54 (  23   ~;  19   |;   3   &)
%                                         (   6 <=>;   2  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   48 (  20   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f29,plain,
    $false,
    inference(avatar_sat_refutation,[],[f15,f24,f26,f28]) ).

fof(f28,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_contradiction_clause,[],[f27]) ).

fof(f27,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_2 ),
    inference(subsumption_resolution,[],[f19,f14]) ).

fof(f14,plain,
    ( ! [X2,X3] : ~ a(X2,X3)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f13]) ).

fof(f13,plain,
    ( spl4_1
  <=> ! [X2,X3] : ~ a(X2,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f19,plain,
    ( a(sK2,sK3)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f17]) ).

fof(f17,plain,
    ( spl4_2
  <=> a(sK2,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f26,plain,
    ( ~ spl4_1
    | ~ spl4_3 ),
    inference(avatar_contradiction_clause,[],[f25]) ).

fof(f25,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_3 ),
    inference(resolution,[],[f23,f14]) ).

fof(f23,plain,
    ( a(sK1,sK0)
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f21,plain,
    ( spl4_3
  <=> a(sK1,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f24,plain,
    ( spl4_2
    | spl4_3 ),
    inference(avatar_split_clause,[],[f10,f21,f17]) ).

fof(f10,plain,
    ( a(sK1,sK0)
    | a(sK2,sK3) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ( ( ! [X0,X1] : ~ a(X1,X0)
      | ! [X2,X3] : ~ a(X2,X3) )
    & ( a(sK1,sK0)
      | a(sK2,sK3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f6,f8,f7]) ).

fof(f7,plain,
    ( ? [X4,X5] : a(X5,X4)
   => a(sK1,sK0) ),
    introduced(choice_axiom,[]) ).

fof(f8,plain,
    ( ? [X6,X7] : a(X6,X7)
   => a(sK2,sK3) ),
    introduced(choice_axiom,[]) ).

fof(f6,plain,
    ( ( ! [X0,X1] : ~ a(X1,X0)
      | ! [X2,X3] : ~ a(X2,X3) )
    & ( ? [X4,X5] : a(X5,X4)
      | ? [X6,X7] : a(X6,X7) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,plain,
    ( ( ! [X2,X3] : ~ a(X3,X2)
      | ! [X0,X1] : ~ a(X0,X1) )
    & ( ? [X2,X3] : a(X3,X2)
      | ? [X0,X1] : a(X0,X1) ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ? [X0,X1] : a(X0,X1)
  <~> ? [X2,X3] : a(X3,X2) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ? [X0,X1] : a(X0,X1)
    <=> ? [X2,X3] : a(X3,X2) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ? [X0,X1] : a(X0,X1)
    <=> ? [X1,X0] : a(X0,X1) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ? [X0,X1] : a(X0,X1)
  <=> ? [X1,X0] : a(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f15,plain,
    ( spl4_1
    | spl4_1 ),
    inference(avatar_split_clause,[],[f11,f13,f13]) ).

fof(f11,plain,
    ! [X2,X3,X0,X1] :
      ( ~ a(X1,X0)
      | ~ a(X2,X3) ),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN960+1 : TPTP v8.2.0. Released v3.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 15:08:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_EPR_NEQ problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.72/0.90  % (11965)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.72/0.90  % (11963)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 (2994ds/34Mi)
% 0.72/0.90  % (11964)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 (2994ds/51Mi)
% 0.72/0.90  % (11967)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 (2994ds/34Mi)
% 0.72/0.90  % (11966)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.72/0.90  % (11968)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.72/0.90  % (11969)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 (2994ds/83Mi)
% 0.72/0.90  % (11970)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 (2994ds/56Mi)
% 0.72/0.90  % (11963)Also succeeded, but the first one will report.
% 0.72/0.90  % (11964)Also succeeded, but the first one will report.
% 0.72/0.90  % (11968)Also succeeded, but the first one will report.
% 0.72/0.90  % (11966)Also succeeded, but the first one will report.
% 0.72/0.90  % (11965)Also succeeded, but the first one will report.
% 0.72/0.90  % (11967)First to succeed.
% 0.72/0.90  % (11970)Also succeeded, but the first one will report.
% 0.72/0.90  % (11969)Also succeeded, but the first one will report.
% 0.72/0.90  % (11967)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11962"
% 0.72/0.90  % (11967)Refutation found. Thanks to Tanya!
% 0.72/0.90  % SZS status Theorem for theBenchmark
% 0.72/0.90  % SZS output start Proof for theBenchmark
% See solution above
% 0.72/0.90  % (11967)------------------------------
% 0.72/0.90  % (11967)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.90  % (11967)Termination reason: Refutation
% 0.72/0.90  
% 0.72/0.90  % (11967)Memory used [KB]: 975
% 0.72/0.90  % (11967)Time elapsed: 0.003 s
% 0.72/0.90  % (11967)Instructions burned: 2 (million)
% 0.72/0.90  % (11962)Success in time 0.538 s
% 0.72/0.90  % Vampire---4.8 exiting
%------------------------------------------------------------------------------