TSTP Solution File: SYN922+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN922+1 : TPTP v8.1.2. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n014.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 : Sun May  5 12:07:51 EDT 2024

% Result   : Theorem 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   52 (   1 unt;   0 def)
%            Number of atoms       :  124 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  116 (  44   ~;  50   |;   8   &)
%                                         (  13 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;  11 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f82,plain,
    $false,
    inference(avatar_sat_refutation,[],[f22,f26,f34,f35,f48,f55,f57,f65,f70,f72,f81]) ).

fof(f81,plain,
    ( ~ spl6_3
    | ~ spl6_5
    | spl6_6 ),
    inference(avatar_contradiction_clause,[],[f80]) ).

fof(f80,plain,
    ( $false
    | ~ spl6_3
    | ~ spl6_5
    | spl6_6 ),
    inference(subsumption_resolution,[],[f79,f25]) ).

fof(f25,plain,
    ( ! [X2] : p(X2)
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f24,plain,
    ( spl6_3
  <=> ! [X2] : p(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

fof(f79,plain,
    ( ~ p(sK0)
    | ~ spl6_5
    | spl6_6 ),
    inference(subsumption_resolution,[],[f76,f33]) ).

fof(f33,plain,
    ( ! [X1] : q(X1)
    | ~ spl6_5 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f32,plain,
    ( spl6_5
  <=> ! [X1] : q(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).

fof(f76,plain,
    ( ~ q(sK0)
    | ~ p(sK0)
    | spl6_6 ),
    inference(resolution,[],[f5,f39]) ).

fof(f39,plain,
    ( ~ sP1(sK0)
    | spl6_6 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl6_6
  <=> sP1(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).

fof(f5,plain,
    ! [X0] :
      ( sP1(X0)
      | ~ q(X0)
      | ~ p(X0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ! [X0] :
        ( q(X0)
        & p(X0) )
  <~> ( ! [X1] : q(X1)
      & ! [X2] : p(X2) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ! [X0] :
          ( q(X0)
          & p(X0) )
    <=> ( ! [X1] : q(X1)
        & ! [X2] : p(X2) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ! [X0] :
          ( q(X0)
          & p(X0) )
    <=> ( ! [X0] : q(X0)
        & ! [X0] : p(X0) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ! [X0] :
        ( q(X0)
        & p(X0) )
  <=> ( ! [X0] : q(X0)
      & ! [X0] : p(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.QMEaHY2OYG/Vampire---4.8_28607',prove_this) ).

fof(f72,plain,
    ( ~ spl6_3
    | spl6_8 ),
    inference(avatar_contradiction_clause,[],[f71]) ).

fof(f71,plain,
    ( $false
    | ~ spl6_3
    | spl6_8 ),
    inference(subsumption_resolution,[],[f47,f25]) ).

fof(f47,plain,
    ( ~ p(sK2)
    | spl6_8 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f45,plain,
    ( spl6_8
  <=> p(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).

fof(f70,plain,
    ( ~ spl6_5
    | spl6_7 ),
    inference(avatar_contradiction_clause,[],[f67]) ).

fof(f67,plain,
    ( $false
    | ~ spl6_5
    | spl6_7 ),
    inference(unit_resulting_resolution,[],[f43,f33]) ).

fof(f43,plain,
    ( ~ q(sK3)
    | spl6_7 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl6_7
  <=> q(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).

fof(f65,plain,
    ( ~ spl6_2
    | spl6_7 ),
    inference(avatar_contradiction_clause,[],[f64]) ).

fof(f64,plain,
    ( $false
    | ~ spl6_2
    | spl6_7 ),
    inference(subsumption_resolution,[],[f58,f21]) ).

fof(f21,plain,
    ( ! [X0] : sP1(X0)
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f20]) ).

fof(f20,plain,
    ( spl6_2
  <=> ! [X0] : sP1(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f58,plain,
    ( ~ sP1(sK3)
    | spl6_7 ),
    inference(unit_resulting_resolution,[],[f43,f7]) ).

fof(f7,plain,
    ! [X0] :
      ( ~ sP1(X0)
      | q(X0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f57,plain,
    ( ~ spl6_2
    | spl6_6 ),
    inference(avatar_contradiction_clause,[],[f56]) ).

fof(f56,plain,
    ( $false
    | ~ spl6_2
    | spl6_6 ),
    inference(subsumption_resolution,[],[f39,f21]) ).

fof(f55,plain,
    ( ~ spl6_2
    | spl6_8 ),
    inference(avatar_contradiction_clause,[],[f54]) ).

fof(f54,plain,
    ( $false
    | ~ spl6_2
    | spl6_8 ),
    inference(subsumption_resolution,[],[f49,f21]) ).

fof(f49,plain,
    ( ~ sP1(sK2)
    | spl6_8 ),
    inference(unit_resulting_resolution,[],[f47,f6]) ).

fof(f6,plain,
    ! [X0] :
      ( ~ sP1(X0)
      | p(X0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f48,plain,
    ( ~ spl6_6
    | ~ spl6_7
    | ~ spl6_8 ),
    inference(avatar_split_clause,[],[f8,f45,f41,f37]) ).

fof(f8,plain,
    ( ~ p(sK2)
    | ~ q(sK3)
    | ~ sP1(sK0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f35,plain,
    ( spl6_4
    | spl6_2 ),
    inference(avatar_split_clause,[],[f11,f20,f28]) ).

fof(f28,plain,
    ( spl6_4
  <=> sP4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).

fof(f11,plain,
    ! [X0] :
      ( sP1(X0)
      | sP4 ),
    inference(cnf_transformation,[],[f11_D]) ).

fof(f11_D,plain,
    ( ! [X0] : sP1(X0)
  <=> ~ sP4 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).

fof(f34,plain,
    ( ~ spl6_4
    | spl6_5 ),
    inference(avatar_split_clause,[],[f12,f32,f28]) ).

fof(f12,plain,
    ! [X1] :
      ( q(X1)
      | ~ sP4 ),
    inference(general_splitting,[],[f10,f11_D]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( q(X1)
      | sP1(X0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f26,plain,
    ( spl6_1
    | spl6_3 ),
    inference(avatar_split_clause,[],[f13,f24,f16]) ).

fof(f16,plain,
    ( spl6_1
  <=> sP5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f13,plain,
    ! [X2] :
      ( p(X2)
      | sP5 ),
    inference(cnf_transformation,[],[f13_D]) ).

fof(f13_D,plain,
    ( ! [X2] : p(X2)
  <=> ~ sP5 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).

fof(f22,plain,
    ( ~ spl6_1
    | spl6_2 ),
    inference(avatar_split_clause,[],[f14,f20,f16]) ).

fof(f14,plain,
    ! [X0] :
      ( sP1(X0)
      | ~ sP5 ),
    inference(general_splitting,[],[f9,f13_D]) ).

fof(f9,plain,
    ! [X2,X0] :
      ( p(X2)
      | sP1(X0) ),
    inference(cnf_transformation,[],[f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN922+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.15  % 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
% 0.14/0.36  % Computer : n014.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 17:33:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.QMEaHY2OYG/Vampire---4.8_28607
% 0.55/0.74  % (28884)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 Vampire---4 for (2996ds/83Mi)
% 0.55/0.74  % (28878)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 Vampire---4 for (2996ds/34Mi)
% 0.55/0.74  % (28880)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74  % (28884)First to succeed.
% 0.55/0.74  % (28879)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 Vampire---4 for (2996ds/51Mi)
% 0.55/0.74  % (28881)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.74  % (28882)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 Vampire---4 for (2996ds/34Mi)
% 0.55/0.74  % (28883)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.75  % (28884)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28787"
% 0.55/0.75  % (28879)Also succeeded, but the first one will report.
% 0.55/0.75  % (28880)Also succeeded, but the first one will report.
% 0.55/0.75  % (28881)Also succeeded, but the first one will report.
% 0.55/0.75  % (28878)Also succeeded, but the first one will report.
% 0.55/0.75  % (28882)Also succeeded, but the first one will report.
% 0.55/0.75  % (28883)Also succeeded, but the first one will report.
% 0.55/0.75  % (28884)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Theorem for Vampire---4
% 0.55/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75  % (28884)------------------------------
% 0.55/0.75  % (28884)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (28884)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (28884)Memory used [KB]: 985
% 0.55/0.75  % (28884)Time elapsed: 0.002 s
% 0.55/0.75  % (28884)Instructions burned: 3 (million)
% 0.55/0.75  % (28787)Success in time 0.377 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------