TSTP Solution File: SYO633-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO633-1 : TPTP v8.1.2. Released v7.1.0.
% 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 : n029.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 12:24:00 EDT 2024

% Result   : Unsatisfiable 0.60s 0.82s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   46 (   5 unt;   0 def)
%            Number of atoms       :  120 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  139 (  65   ~;  64   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    9 (   3 avg)
%            Number of predicates  :   12 (  11 usr;  11 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   46 (  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f62,plain,
    $false,
    inference(avatar_sat_refutation,[],[f32,f36,f40,f44,f48,f50,f52,f54,f57,f59,f61]) ).

fof(f61,plain,
    ( ~ spl0_1
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f60]) ).

fof(f60,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(resolution,[],[f16,f47]) ).

fof(f47,plain,
    ( ! [X3] : 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0')))
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f46,plain,
    ( spl0_10
  <=> ! [X3] : 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0'))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f16,plain,
    ( ! [X4] : ~ 'E'(f(X4),s(s('0')))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f15]) ).

fof(f15,plain,
    ( spl0_1
  <=> ! [X4] : ~ 'E'(f(X4),s(s('0'))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f59,plain,
    ( ~ spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f58]) ).

fof(f58,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(resolution,[],[f25,f39]) ).

fof(f39,plain,
    ( ! [X3] : 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s('0'))
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f38,plain,
    ( spl0_8
  <=> ! [X3] : 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s('0')) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f25,plain,
    ( ! [X5] : ~ 'E'(f(X5),s('0'))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f24,plain,
    ( spl0_4
  <=> ! [X5] : ~ 'E'(f(X5),s('0')) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f57,plain,
    ( ~ spl0_3
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f56]) ).

fof(f56,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(resolution,[],[f55,f22]) ).

fof(f22,plain,
    ( ! [X2] : ~ 'E'(f(X2),s(s(s('0'))))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f21,plain,
    ( spl0_3
  <=> ! [X2] : ~ 'E'(f(X2),s(s(s('0')))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f55,plain,
    ( ! [X0] : 'E'(f(X0),s(s(s('0'))))
    | ~ spl0_9 ),
    inference(resolution,[],[f43,f5]) ).

fof(f5,axiom,
    ! [X7] : 'E'(f(X7),s(s(s(s(s('0')))))),
    file('/export/starexec/sandbox/tmp/tmp.QceOqPlkQu/Vampire---4.8_24817',clause_8_05) ).

fof(f43,plain,
    ( ! [X1] :
        ( ~ 'E'(f(X1),s(s(s(s(s('0'))))))
        | 'E'(f(X1),s(s(s('0')))) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f42,plain,
    ( spl0_9
  <=> ! [X1] :
        ( 'E'(f(X1),s(s(s('0'))))
        | ~ 'E'(f(X1),s(s(s(s(s('0')))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f54,plain,
    ( ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f53]) ).

fof(f53,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(resolution,[],[f35,f28]) ).

fof(f28,plain,
    ( ! [X6] : ~ 'E'(f(X6),'0')
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f27,plain,
    ( spl0_5
  <=> ! [X6] : ~ 'E'(f(X6),'0') ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f35,plain,
    ( ! [X3] : 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),'0')
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f34,plain,
    ( spl0_7
  <=> ! [X3] : 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),'0') ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f52,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f51]) ).

fof(f51,plain,
    ( $false
    | ~ spl0_6 ),
    inference(resolution,[],[f31,f5]) ).

fof(f31,plain,
    ( ! [X1] : ~ 'E'(f(X1),s(s(s(s(s('0'))))))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f30,plain,
    ( spl0_6
  <=> ! [X1] : ~ 'E'(f(X1),s(s(s(s(s('0')))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f50,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f49]) ).

fof(f49,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f19,f4]) ).

fof(f4,axiom,
    ! [X1] : 'E'(f(X1),s(s(s(s('0'))))),
    file('/export/starexec/sandbox/tmp/tmp.QceOqPlkQu/Vampire---4.8_24817',clause_6_04) ).

fof(f19,plain,
    ( ! [X0] : ~ 'E'(f(X0),s(s(s(s('0')))))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f18]) ).

fof(f18,plain,
    ( spl0_2
  <=> ! [X0] : ~ 'E'(f(X0),s(s(s(s('0'))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f48,plain,
    ( spl0_2
    | spl0_6
    | spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f12,f46,f21,f30,f18]) ).

fof(f12,axiom,
    ! [X2,X3,X0,X1] :
      ( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s(s('0')))
      | ~ 'E'(f(X2),s(s(s('0'))))
      | ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X0),s(s(s(s('0'))))) ),
    file('/export/starexec/sandbox/tmp/tmp.QceOqPlkQu/Vampire---4.8_24817',clause_4_12) ).

fof(f44,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_split_clause,[],[f10,f42,f18]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( 'E'(f(X1),s(s(s('0'))))
      | ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X0),s(s(s(s('0'))))) ),
    file('/export/starexec/sandbox/tmp/tmp.QceOqPlkQu/Vampire---4.8_24817',clause_1_10) ).

fof(f40,plain,
    ( spl0_2
    | spl0_6
    | spl0_3
    | spl0_1
    | spl0_8 ),
    inference(avatar_split_clause,[],[f9,f38,f15,f21,f30,f18]) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),s('0'))
      | ~ 'E'(f(X4),s(s('0')))
      | ~ 'E'(f(X2),s(s(s('0'))))
      | ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X0),s(s(s(s('0'))))) ),
    file('/export/starexec/sandbox/tmp/tmp.QceOqPlkQu/Vampire---4.8_24817',clause_12_09) ).

fof(f36,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f7,f34,f30,f24,f21,f18,f15]) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( 'E'(f('AP'(s(s(s(s(s(s('0')))))),X3)),'0')
      | ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X5),s('0'))
      | ~ 'E'(f(X2),s(s(s('0'))))
      | ~ 'E'(f(X0),s(s(s(s('0')))))
      | ~ 'E'(f(X4),s(s('0'))) ),
    file('/export/starexec/sandbox/tmp/tmp.QceOqPlkQu/Vampire---4.8_24817',clause_2_07) ).

fof(f32,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f3,f30,f27,f24,f21,f18,f15]) ).

fof(f3,axiom,
    ! [X2,X0,X1,X6,X4,X5] :
      ( ~ 'E'(f(X1),s(s(s(s(s('0'))))))
      | ~ 'E'(f(X6),'0')
      | ~ 'E'(f(X5),s('0'))
      | ~ 'E'(f(X2),s(s(s('0'))))
      | ~ 'E'(f(X0),s(s(s(s('0')))))
      | ~ 'E'(f(X4),s(s('0'))) ),
    file('/export/starexec/sandbox/tmp/tmp.QceOqPlkQu/Vampire---4.8_24817',clause_5_03) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SYO633-1 : TPTP v8.1.2. Released v7.1.0.
% 0.10/0.13  % 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
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Fri May  3 15:41:38 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.12/0.33  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/tmp/tmp.QceOqPlkQu/Vampire---4.8_24817
% 0.60/0.82  % (24934)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 (2995ds/34Mi)
% 0.60/0.82  % (24933)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.82  % (24932)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.82  % (24930)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 (2995ds/34Mi)
% 0.60/0.82  % (24935)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.82  % (24931)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 (2995ds/51Mi)
% 0.60/0.82  % (24936)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 (2995ds/83Mi)
% 0.60/0.82  % (24937)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.82  % (24932)Refutation not found, incomplete strategy% (24932)------------------------------
% 0.60/0.82  % (24932)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (24933)Refutation not found, incomplete strategy% (24933)------------------------------
% 0.60/0.82  % (24933)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (24930)Refutation not found, incomplete strategy% (24930)------------------------------
% 0.60/0.82  % (24930)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (24935)Refutation not found, incomplete strategy% (24935)------------------------------
% 0.60/0.82  % (24935)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (24930)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  % (24935)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  
% 0.60/0.82  % (24935)Memory used [KB]: 944
% 0.60/0.82  % (24930)Memory used [KB]: 944
% 0.60/0.82  % (24933)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (24930)Time elapsed: 0.002 s
% 0.60/0.82  % (24935)Time elapsed: 0.002 s
% 0.60/0.82  % (24933)Memory used [KB]: 944
% 0.60/0.82  % (24935)Instructions burned: 2 (million)
% 0.60/0.82  % (24930)Instructions burned: 2 (million)
% 0.60/0.82  % (24933)Time elapsed: 0.002 s
% 0.60/0.82  % (24933)Instructions burned: 2 (million)
% 0.60/0.82  % (24936)Refutation not found, incomplete strategy% (24936)------------------------------
% 0.60/0.82  % (24936)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (24936)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (24936)Memory used [KB]: 944
% 0.60/0.82  % (24936)Time elapsed: 0.002 s
% 0.60/0.82  % (24936)Instructions burned: 2 (million)
% 0.60/0.82  % (24937)Refutation not found, incomplete strategy% (24937)------------------------------
% 0.60/0.82  % (24937)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (24937)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (24937)Memory used [KB]: 944
% 0.60/0.82  % (24937)Time elapsed: 0.002 s
% 0.60/0.82  % (24932)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  % (24937)Instructions burned: 2 (million)
% 0.60/0.82  
% 0.60/0.82  % (24932)Memory used [KB]: 944
% 0.60/0.82  % (24932)Time elapsed: 0.002 s
% 0.60/0.82  % (24932)Instructions burned: 2 (million)
% 0.60/0.82  % (24934)Refutation not found, incomplete strategy% (24934)------------------------------
% 0.60/0.82  % (24934)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (24934)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (24934)Memory used [KB]: 947
% 0.60/0.82  % (24934)Time elapsed: 0.002 s
% 0.60/0.82  % (24934)Instructions burned: 2 (million)
% 0.60/0.82  % (24936)------------------------------
% 0.60/0.82  % (24936)------------------------------
% 0.60/0.82  % (24933)------------------------------
% 0.60/0.82  % (24933)------------------------------
% 0.60/0.82  % (24930)------------------------------
% 0.60/0.82  % (24930)------------------------------
% 0.60/0.82  % (24937)------------------------------
% 0.60/0.82  % (24937)------------------------------
% 0.60/0.82  % (24934)------------------------------
% 0.60/0.82  % (24934)------------------------------
% 0.60/0.82  % (24935)------------------------------
% 0.60/0.82  % (24935)------------------------------
% 0.60/0.82  % (24931)First to succeed.
% 0.60/0.82  % (24932)------------------------------
% 0.60/0.82  % (24932)------------------------------
% 0.60/0.82  % (24931)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24929"
% 0.60/0.82  % (24931)Refutation found. Thanks to Tanya!
% 0.60/0.82  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.82  % (24931)------------------------------
% 0.60/0.82  % (24931)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (24931)Termination reason: Refutation
% 0.60/0.82  
% 0.60/0.82  % (24931)Memory used [KB]: 987
% 0.60/0.82  % (24931)Time elapsed: 0.004 s
% 0.60/0.82  % (24931)Instructions burned: 4 (million)
% 0.60/0.82  % (24929)Success in time 0.483 s
% 0.60/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------