TSTP Solution File: SYN039-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN039-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n026.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 : Wed May  1 04:32:58 EDT 2024

% Result   : Unsatisfiable 0.60s 0.77s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   68 (   1 unt;   0 def)
%            Number of atoms       :  189 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  239 ( 118   ~; 109   |;   0   &)
%                                         (  12 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   16 (  15 usr;  13 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :  117 ( 117   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f167,plain,
    $false,
    inference(avatar_sat_refutation,[],[f38,f42,f49,f53,f72,f74,f84,f95,f135,f140,f141,f144,f154,f155,f157,f165,f166]) ).

fof(f166,plain,
    ( spl0_11
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f148,f29,f89]) ).

fof(f89,plain,
    ( spl0_11
  <=> ! [X2,X0,X1] :
        ( ~ s(X0,f1(X0,X1))
        | s(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f29,plain,
    ( spl0_1
  <=> ! [X2] : ~ q(X2,X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f148,plain,
    ( ! [X2,X0,X1] :
        ( ~ s(X0,f1(X0,X1))
        | s(X2,X0) )
    | ~ spl0_1 ),
    inference(resolution,[],[f30,f20]) ).

fof(f20,axiom,
    ! [X2,X3,X0,X1] :
      ( q(f1(X0,X1),X2)
      | ~ s(X0,f1(X0,X1))
      | s(X3,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.ib9U4AS7xy/Vampire---4.8_19728',c_20) ).

fof(f30,plain,
    ( ! [X2] : ~ q(X2,X2)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f165,plain,
    ( spl0_5
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f164,f89,f82,f65,f44]) ).

fof(f44,plain,
    ( spl0_5
  <=> ! [X0] : ~ p(X0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f65,plain,
    ( spl0_9
  <=> ! [X0,X1] :
        ( ~ s(X0,f1(X0,X1))
        | ~ p(X0,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f82,plain,
    ( spl0_10
  <=> ! [X2,X0,X1] :
        ( s(f1(X0,X1),X2)
        | ~ p(X0,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f164,plain,
    ( ! [X0] : ~ p(X0,X0)
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ( ! [X0] :
        ( ~ p(X0,X0)
        | ~ p(X0,X0) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(resolution,[],[f160,f66]) ).

fof(f66,plain,
    ( ! [X0,X1] :
        ( ~ s(X0,f1(X0,X1))
        | ~ p(X0,X0) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f160,plain,
    ( ! [X2,X0,X1] :
        ( s(X1,f1(X0,X2))
        | ~ p(X0,X0) )
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(resolution,[],[f83,f90]) ).

fof(f90,plain,
    ( ! [X2,X0,X1] :
        ( ~ s(X0,f1(X0,X1))
        | s(X2,X0) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f83,plain,
    ( ! [X2,X0,X1] :
        ( s(f1(X0,X1),X2)
        | ~ p(X0,X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f157,plain,
    ( spl0_10
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f146,f29,f82]) ).

fof(f146,plain,
    ( ! [X2,X0,X1] :
        ( s(f1(X0,X1),X2)
        | ~ p(X0,X0) )
    | ~ spl0_1 ),
    inference(resolution,[],[f30,f14]) ).

fof(f14,axiom,
    ! [X2,X3,X0,X1] :
      ( q(f1(X0,X1),X2)
      | s(f1(X0,X1),X3)
      | ~ p(X0,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.ib9U4AS7xy/Vampire---4.8_19728',c_14) ).

fof(f155,plain,
    ( spl0_13
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f152,f44,f29,f123]) ).

fof(f123,plain,
    ( spl0_13
  <=> ! [X0,X1] : ~ s(X0,f1(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f152,plain,
    ( ! [X0,X1] : ~ s(X0,f1(X0,X1))
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(resolution,[],[f30,f115]) ).

fof(f115,plain,
    ( ! [X2,X0,X1] :
        ( q(f1(X0,X1),X2)
        | ~ s(X0,f1(X0,X1)) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f2,f45]) ).

fof(f45,plain,
    ( ! [X0] : ~ p(X0,X0)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( q(f1(X0,X1),X2)
      | ~ s(X0,f1(X0,X1))
      | p(f1(X0,X1),f1(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.ib9U4AS7xy/Vampire---4.8_19728',c_2) ).

fof(f154,plain,
    ( spl0_14
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f153,f44,f29,f133]) ).

fof(f133,plain,
    ( spl0_14
  <=> ! [X2,X0,X1] : s(f1(X0,X1),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f153,plain,
    ( ! [X2,X0,X1] : s(f1(X0,X1),X2)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(resolution,[],[f30,f128]) ).

fof(f128,plain,
    ( ! [X2,X3,X0,X1] :
        ( q(f1(X0,X1),X2)
        | s(f1(X0,X1),X3) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f5,f45]) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1] :
      ( q(f1(X0,X1),X2)
      | s(f1(X0,X1),X3)
      | p(f1(X0,X1),f1(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.ib9U4AS7xy/Vampire---4.8_19728',c_5) ).

fof(f144,plain,
    ( spl0_6
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f143,f44,f36,f47]) ).

fof(f47,plain,
    ( spl0_6
  <=> ! [X1] : ~ s(X1,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f36,plain,
    ( spl0_3
  <=> ! [X0,X1] :
        ( ~ s(X1,X1)
        | p(f1(X0,X1),f1(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f143,plain,
    ( ! [X1] : ~ s(X1,X1)
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f37,f45]) ).

fof(f37,plain,
    ( ! [X0,X1] :
        ( ~ s(X1,X1)
        | p(f1(X0,X1),f1(X0,X1)) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f141,plain,
    ( ~ spl0_6
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f136]) ).

fof(f136,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(resolution,[],[f134,f48]) ).

fof(f48,plain,
    ( ! [X1] : ~ s(X1,X1)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f134,plain,
    ( ! [X2,X0,X1] : s(f1(X0,X1),X2)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f140,plain,
    ( ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f137]) ).

fof(f137,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(resolution,[],[f134,f124]) ).

fof(f124,plain,
    ( ! [X0,X1] : ~ s(X0,f1(X0,X1))
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f123]) ).

fof(f135,plain,
    ( spl0_8
    | spl0_14
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f131,f51,f44,f133,f55]) ).

fof(f55,plain,
    ( spl0_8
  <=> ! [X0,X3] : s(X3,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f51,plain,
    ( spl0_7
  <=> ! [X0,X1,X3] :
        ( ~ q(X1,f1(X0,X1))
        | s(X3,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f131,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( s(f1(X0,X1),X2)
        | s(X3,X4) )
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(resolution,[],[f128,f52]) ).

fof(f52,plain,
    ( ! [X3,X0,X1] :
        ( ~ q(X1,f1(X0,X1))
        | s(X3,X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f95,plain,
    ( spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f93,f82,f47,f44]) ).

fof(f93,plain,
    ( ! [X0] : ~ p(X0,X0)
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(resolution,[],[f83,f48]) ).

fof(f84,plain,
    ( spl0_5
    | spl0_10
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f79,f40,f82,f44]) ).

fof(f40,plain,
    ( spl0_4
  <=> ! [X0,X1] :
        ( ~ q(X1,f1(X0,X1))
        | ~ p(X0,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f79,plain,
    ( ! [X2,X3,X0,X1] :
        ( s(f1(X0,X1),X2)
        | ~ p(X0,X0)
        | ~ p(X3,X3) )
    | ~ spl0_4 ),
    inference(resolution,[],[f14,f41]) ).

fof(f41,plain,
    ( ! [X0,X1] :
        ( ~ q(X1,f1(X0,X1))
        | ~ p(X0,X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f74,plain,
    ( ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f73]) ).

fof(f73,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(resolution,[],[f56,f48]) ).

fof(f56,plain,
    ( ! [X3,X0] : s(X3,X0)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f72,plain,
    ( spl0_9
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f69,f29,f65]) ).

fof(f69,plain,
    ( ! [X0,X1] :
        ( ~ s(X0,f1(X0,X1))
        | ~ p(X0,X0) )
    | ~ spl0_1 ),
    inference(resolution,[],[f30,f11]) ).

fof(f11,axiom,
    ! [X2,X0,X1] :
      ( q(f1(X0,X1),X2)
      | ~ s(X0,f1(X0,X1))
      | ~ p(X0,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.ib9U4AS7xy/Vampire---4.8_19728',c_11) ).

fof(f53,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f25,f51,f29]) ).

fof(f25,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ q(X1,f1(X0,X1))
      | ~ q(X2,X2)
      | s(X3,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.ib9U4AS7xy/Vampire---4.8_19728',c_25) ).

fof(f49,plain,
    ( spl0_5
    | spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f18,f47,f29,f44]) ).

fof(f18,axiom,
    ! [X2,X0,X1] :
      ( ~ s(X1,X1)
      | ~ q(X2,X2)
      | ~ p(X0,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.ib9U4AS7xy/Vampire---4.8_19728',c_18) ).

fof(f42,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f16,f40,f29]) ).

fof(f16,axiom,
    ! [X2,X0,X1] :
      ( ~ q(X1,f1(X0,X1))
      | ~ q(X2,X2)
      | ~ p(X0,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.ib9U4AS7xy/Vampire---4.8_19728',c_16) ).

fof(f38,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f9,f36,f29]) ).

fof(f9,axiom,
    ! [X2,X0,X1] :
      ( ~ s(X1,X1)
      | ~ q(X2,X2)
      | p(f1(X0,X1),f1(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.ib9U4AS7xy/Vampire---4.8_19728',c_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN039-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15  % 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
% 0.14/0.36  % Computer : n026.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   : Tue Apr 30 17:43:04 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_NEQ_NHN 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/tmp/tmp.ib9U4AS7xy/Vampire---4.8_19728
% 0.56/0.76  % (19990)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)
% 0.56/0.76  % (19984)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)
% 0.56/0.76  % (19987)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)
% 0.56/0.76  % (19985)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)
% 0.56/0.76  % (19986)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76  % (19989)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)
% 0.56/0.76  % (19988)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)
% 0.56/0.76  % (19991)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 (2996ds/56Mi)
% 0.56/0.76  % (19984)First to succeed.
% 0.56/0.76  % (19985)Also succeeded, but the first one will report.
% 0.60/0.76  % (19989)Also succeeded, but the first one will report.
% 0.60/0.77  % (19984)Refutation found. Thanks to Tanya!
% 0.60/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77  % (19984)------------------------------
% 0.60/0.77  % (19984)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77  % (19984)Termination reason: Refutation
% 0.60/0.77  
% 0.60/0.77  % (19984)Memory used [KB]: 1017
% 0.60/0.77  % (19984)Time elapsed: 0.006 s
% 0.60/0.77  % (19984)Instructions burned: 7 (million)
% 0.60/0.77  % (19984)------------------------------
% 0.60/0.77  % (19984)------------------------------
% 0.60/0.77  % (19980)Success in time 0.389 s
% 0.60/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------