TSTP Solution File: SEU159+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU159+3 : TPTP v8.2.0. Released v3.2.0.
% 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 : 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 03:45:09 EDT 2024

% Result   : Theorem 0.55s 0.73s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   58 (   3 unt;   0 def)
%            Number of atoms       :  143 (  15 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  140 (  55   ~;  69   |;   3   &)
%                                         (  11 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   53 (  50   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f169,plain,
    $false,
    inference(avatar_sat_refutation,[],[f42,f47,f48,f79,f91,f107,f116,f168]) ).

fof(f168,plain,
    ( spl6_1
    | ~ spl6_2
    | ~ spl6_5 ),
    inference(avatar_contradiction_clause,[],[f167]) ).

fof(f167,plain,
    ( $false
    | spl6_1
    | ~ spl6_2
    | ~ spl6_5 ),
    inference(subsumption_resolution,[],[f166,f36]) ).

fof(f36,plain,
    ( ~ subset(unordered_pair(sK0,sK1),sK2)
    | spl6_1 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl6_1
  <=> subset(unordered_pair(sK0,sK1),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f166,plain,
    ( subset(unordered_pair(sK0,sK1),sK2)
    | ~ spl6_2
    | ~ spl6_5 ),
    inference(subsumption_resolution,[],[f163,f41]) ).

fof(f41,plain,
    ( in(sK1,sK2)
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f39,plain,
    ( spl6_2
  <=> in(sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f163,plain,
    ( ~ in(sK1,sK2)
    | subset(unordered_pair(sK0,sK1),sK2)
    | ~ spl6_5 ),
    inference(superposition,[],[f27,f78]) ).

fof(f78,plain,
    ( sK1 = sK5(unordered_pair(sK0,sK1),sK2)
    | ~ spl6_5 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f76,plain,
    ( spl6_5
  <=> sK1 = sK5(unordered_pair(sK0,sK1),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ in(sK5(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f116,plain,
    ( spl6_1
    | ~ spl6_3
    | ~ spl6_4 ),
    inference(avatar_contradiction_clause,[],[f115]) ).

fof(f115,plain,
    ( $false
    | spl6_1
    | ~ spl6_3
    | ~ spl6_4 ),
    inference(subsumption_resolution,[],[f114,f46]) ).

fof(f46,plain,
    ( in(sK0,sK2)
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f44,plain,
    ( spl6_3
  <=> in(sK0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

fof(f114,plain,
    ( ~ in(sK0,sK2)
    | spl6_1
    | ~ spl6_4 ),
    inference(forward_demodulation,[],[f113,f74]) ).

fof(f74,plain,
    ( sK0 = sK5(unordered_pair(sK0,sK1),sK2)
    | ~ spl6_4 ),
    inference(avatar_component_clause,[],[f72]) ).

fof(f72,plain,
    ( spl6_4
  <=> sK0 = sK5(unordered_pair(sK0,sK1),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).

fof(f113,plain,
    ( ~ in(sK5(unordered_pair(sK0,sK1),sK2),sK2)
    | spl6_1 ),
    inference(unit_resulting_resolution,[],[f36,f27]) ).

fof(f107,plain,
    ( ~ spl6_1
    | spl6_3 ),
    inference(avatar_contradiction_clause,[],[f106]) ).

fof(f106,plain,
    ( $false
    | ~ spl6_1
    | spl6_3 ),
    inference(subsumption_resolution,[],[f102,f33]) ).

fof(f33,plain,
    ! [X3,X1] : sP4(X3,X1,X3),
    inference(equality_resolution,[],[f17]) ).

fof(f17,plain,
    ! [X3,X0,X1] :
      ( X0 != X3
      | sP4(X3,X1,X0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1,X2] :
      ( unordered_pair(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( X1 = X3
            | X0 = X3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).

fof(f102,plain,
    ( ~ sP4(sK0,sK1,sK0)
    | ~ spl6_1
    | spl6_3 ),
    inference(resolution,[],[f97,f31]) ).

fof(f31,plain,
    ! [X3,X0,X1] :
      ( in(X3,unordered_pair(X0,X1))
      | ~ sP4(X3,X1,X0) ),
    inference(equality_resolution,[],[f20]) ).

fof(f20,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP4(X3,X1,X0)
      | in(X3,X2)
      | unordered_pair(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f97,plain,
    ( ~ in(sK0,unordered_pair(sK0,sK1))
    | ~ spl6_1
    | spl6_3 ),
    inference(unit_resulting_resolution,[],[f37,f45,f25]) ).

fof(f25,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X0,X1)
      | in(X2,X1)
      | ~ in(X2,X0) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f45,plain,
    ( ~ in(sK0,sK2)
    | spl6_3 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f37,plain,
    ( subset(unordered_pair(sK0,sK1),sK2)
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f91,plain,
    ( ~ spl6_1
    | spl6_2 ),
    inference(avatar_contradiction_clause,[],[f90]) ).

fof(f90,plain,
    ( $false
    | ~ spl6_1
    | spl6_2 ),
    inference(subsumption_resolution,[],[f86,f32]) ).

fof(f32,plain,
    ! [X3,X0] : sP4(X3,X3,X0),
    inference(equality_resolution,[],[f18]) ).

fof(f18,plain,
    ! [X3,X0,X1] :
      ( X1 != X3
      | sP4(X3,X1,X0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f86,plain,
    ( ~ sP4(sK1,sK1,sK0)
    | ~ spl6_1
    | spl6_2 ),
    inference(resolution,[],[f81,f31]) ).

fof(f81,plain,
    ( ~ in(sK1,unordered_pair(sK0,sK1))
    | ~ spl6_1
    | spl6_2 ),
    inference(unit_resulting_resolution,[],[f40,f37,f25]) ).

fof(f40,plain,
    ( ~ in(sK1,sK2)
    | spl6_2 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f79,plain,
    ( spl6_4
    | spl6_5
    | spl6_1 ),
    inference(avatar_split_clause,[],[f70,f35,f76,f72]) ).

fof(f70,plain,
    ( sK1 = sK5(unordered_pair(sK0,sK1),sK2)
    | sK0 = sK5(unordered_pair(sK0,sK1),sK2)
    | spl6_1 ),
    inference(resolution,[],[f62,f19]) ).

fof(f19,plain,
    ! [X3,X0,X1] :
      ( ~ sP4(X3,X1,X0)
      | X1 = X3
      | X0 = X3 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f62,plain,
    ( sP4(sK5(unordered_pair(sK0,sK1),sK2),sK1,sK0)
    | spl6_1 ),
    inference(unit_resulting_resolution,[],[f59,f30]) ).

fof(f30,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,unordered_pair(X0,X1))
      | sP4(X3,X1,X0) ),
    inference(equality_resolution,[],[f21]) ).

fof(f21,plain,
    ! [X2,X3,X0,X1] :
      ( sP4(X3,X1,X0)
      | ~ in(X3,X2)
      | unordered_pair(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f59,plain,
    ( in(sK5(unordered_pair(sK0,sK1),sK2),unordered_pair(sK0,sK1))
    | spl6_1 ),
    inference(unit_resulting_resolution,[],[f36,f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( in(sK5(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f48,plain,
    ( ~ spl6_1
    | ~ spl6_2
    | ~ spl6_3 ),
    inference(avatar_split_clause,[],[f14,f44,f39,f35]) ).

fof(f14,plain,
    ( ~ in(sK0,sK2)
    | ~ in(sK1,sK2)
    | ~ subset(unordered_pair(sK0,sK1),sK2) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ? [X0,X1,X2] :
      ( subset(unordered_pair(X0,X1),X2)
    <~> ( in(X1,X2)
        & in(X0,X2) ) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( subset(unordered_pair(X0,X1),X2)
      <=> ( in(X1,X2)
          & in(X0,X2) ) ),
    inference(negated_conjecture,[],[f8]) ).

fof(f8,conjecture,
    ! [X0,X1,X2] :
      ( subset(unordered_pair(X0,X1),X2)
    <=> ( in(X1,X2)
        & in(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_zfmisc_1) ).

fof(f47,plain,
    ( spl6_1
    | spl6_3 ),
    inference(avatar_split_clause,[],[f15,f44,f35]) ).

fof(f15,plain,
    ( in(sK0,sK2)
    | subset(unordered_pair(sK0,sK1),sK2) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f42,plain,
    ( spl6_1
    | spl6_2 ),
    inference(avatar_split_clause,[],[f16,f39,f35]) ).

fof(f16,plain,
    ( in(sK1,sK2)
    | subset(unordered_pair(sK0,sK1),sK2) ),
    inference(cnf_transformation,[],[f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SEU159+3 : TPTP v8.2.0. Released v3.2.0.
% 0.11/0.14  % 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
% 0.13/0.34  % Computer : n021.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   : Sun May 19 15:43:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a FOF_THM_RFO_SEQ 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
% 0.55/0.73  % (2569)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 (2996ds/83Mi)
% 0.55/0.73  % (2563)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 (2996ds/34Mi)
% 0.55/0.73  % (2564)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 (2996ds/51Mi)
% 0.55/0.73  % (2567)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 (2996ds/34Mi)
% 0.55/0.73  % (2568)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.73  % (2569)First to succeed.
% 0.55/0.73  % (2568)Refutation not found, incomplete strategy% (2568)------------------------------
% 0.55/0.73  % (2568)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (2568)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (2568)Memory used [KB]: 967
% 0.55/0.73  % (2568)Time elapsed: 0.002 s
% 0.55/0.73  % (2568)Instructions burned: 2 (million)
% 0.55/0.73  % (2569)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2562"
% 0.55/0.73  % (2568)------------------------------
% 0.55/0.73  % (2568)------------------------------
% 0.55/0.73  % (2569)Refutation found. Thanks to Tanya!
% 0.55/0.73  % SZS status Theorem for theBenchmark
% 0.55/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.73  % (2569)------------------------------
% 0.55/0.73  % (2569)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (2569)Termination reason: Refutation
% 0.55/0.73  
% 0.55/0.73  % (2569)Memory used [KB]: 1072
% 0.55/0.73  % (2569)Time elapsed: 0.004 s
% 0.55/0.73  % (2569)Instructions burned: 7 (million)
% 0.55/0.73  % (2562)Success in time 0.381 s
% 0.55/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------