TSTP Solution File: SYN415+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN415+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : 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 : Wed May  1 04:34:21 EDT 2024

% Result   : Theorem 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   57 (   1 unt;   0 def)
%            Number of atoms       :  178 (  26 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  208 (  87   ~;  86   |;  13   &)
%                                         (  14 <=>;   6  =>;   0  <=;   2 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   15 (  13 usr;  13 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   45 (  35   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f186,plain,
    $false,
    inference(avatar_sat_refutation,[],[f23,f31,f36,f41,f45,f50,f54,f58,f62,f66,f78,f185]) ).

fof(f185,plain,
    ( ~ spl6_1
    | ~ spl6_7
    | ~ spl6_9
    | ~ spl6_10 ),
    inference(avatar_contradiction_clause,[],[f184]) ).

fof(f184,plain,
    ( $false
    | ~ spl6_1
    | ~ spl6_7
    | ~ spl6_9
    | ~ spl6_10 ),
    inference(subsumption_resolution,[],[f159,f88]) ).

fof(f88,plain,
    ( f(sK5(sK1))
    | ~ spl6_1
    | ~ spl6_10 ),
    inference(unit_resulting_resolution,[],[f18,f57]) ).

fof(f57,plain,
    ( ! [X3] :
        ( f(sK5(X3))
        | ~ f(X3) )
    | ~ spl6_10 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f56,plain,
    ( spl6_10
  <=> ! [X3] :
        ( ~ f(X3)
        | f(sK5(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).

fof(f18,plain,
    ( f(sK1)
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f16]) ).

fof(f16,plain,
    ( spl6_1
  <=> f(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f159,plain,
    ( ~ f(sK5(sK1))
    | ~ spl6_1
    | ~ spl6_7
    | ~ spl6_9 ),
    inference(unit_resulting_resolution,[],[f18,f110,f44]) ).

fof(f44,plain,
    ( ! [X0,X1] :
        ( ~ f(X1)
        | X0 = X1
        | ~ f(X0) )
    | ~ spl6_7 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f43,plain,
    ( spl6_7
  <=> ! [X0,X1] :
        ( ~ f(X0)
        | X0 = X1
        | ~ f(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).

fof(f110,plain,
    ( sK1 != sK5(sK1)
    | ~ spl6_1
    | ~ spl6_9 ),
    inference(resolution,[],[f53,f18]) ).

fof(f53,plain,
    ( ! [X3] :
        ( ~ f(X3)
        | sK5(X3) != X3 )
    | ~ spl6_9 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f52,plain,
    ( spl6_9
  <=> ! [X3] :
        ( ~ f(X3)
        | sK5(X3) != X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).

fof(f78,plain,
    ( spl6_3
    | ~ spl6_5
    | ~ spl6_6
    | ~ spl6_11 ),
    inference(avatar_contradiction_clause,[],[f77]) ).

fof(f77,plain,
    ( $false
    | spl6_3
    | ~ spl6_5
    | ~ spl6_6
    | ~ spl6_11 ),
    inference(subsumption_resolution,[],[f76,f27]) ).

fof(f27,plain,
    ( sK2 != sK3
    | spl6_3 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f25,plain,
    ( spl6_3
  <=> sK2 = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

fof(f76,plain,
    ( sK2 = sK3
    | ~ spl6_5
    | ~ spl6_6
    | ~ spl6_11 ),
    inference(forward_demodulation,[],[f71,f69]) ).

fof(f69,plain,
    ( sK2 = sK4
    | ~ spl6_6
    | ~ spl6_11 ),
    inference(unit_resulting_resolution,[],[f40,f61]) ).

fof(f61,plain,
    ( ! [X4] :
        ( ~ f(X4)
        | sK4 = X4 )
    | ~ spl6_11 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f60,plain,
    ( spl6_11
  <=> ! [X4] :
        ( ~ f(X4)
        | sK4 = X4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).

fof(f40,plain,
    ( f(sK2)
    | ~ spl6_6 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f38,plain,
    ( spl6_6
  <=> f(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).

fof(f71,plain,
    ( sK3 = sK4
    | ~ spl6_5
    | ~ spl6_11 ),
    inference(resolution,[],[f61,f35]) ).

fof(f35,plain,
    ( f(sK3)
    | ~ spl6_5 ),
    inference(avatar_component_clause,[],[f33]) ).

fof(f33,plain,
    ( spl6_5
  <=> f(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).

fof(f66,plain,
    ( ~ spl6_4
    | ~ spl6_8 ),
    inference(avatar_contradiction_clause,[],[f63]) ).

fof(f63,plain,
    ( $false
    | ~ spl6_4
    | ~ spl6_8 ),
    inference(unit_resulting_resolution,[],[f30,f49]) ).

fof(f49,plain,
    ( f(sK4)
    | ~ spl6_8 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f47,plain,
    ( spl6_8
  <=> f(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).

fof(f30,plain,
    ( ! [X2] : ~ f(X2)
    | ~ spl6_4 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f29,plain,
    ( spl6_4
  <=> ! [X2] : ~ f(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).

fof(f62,plain,
    ( ~ spl6_2
    | spl6_11 ),
    inference(avatar_split_clause,[],[f6,f60,f20]) ).

fof(f20,plain,
    ( spl6_2
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f6,plain,
    ! [X4] :
      ( ~ f(X4)
      | sK4 = X4
      | ~ sP0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ( ( ! [X0,X1] :
          ( X0 = X1
          | ~ f(X1)
          | ~ f(X0) )
      & ? [X2] : f(X2) )
  <~> ? [X3] :
        ( ! [X4] :
            ( X3 = X4
            | ~ f(X4) )
        & f(X3) ) ),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ( ( ! [X0,X1] :
          ( X0 = X1
          | ~ f(X1)
          | ~ f(X0) )
      & ? [X2] : f(X2) )
  <~> ? [X3] :
        ( ! [X4] :
            ( X3 = X4
            | ~ f(X4) )
        & f(X3) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ( ! [X0,X1] :
            ( ( f(X1)
              & f(X0) )
           => X0 = X1 )
        & ? [X2] : f(X2) )
    <=> ? [X3] :
          ( ! [X4] :
              ( f(X4)
             => X3 = X4 )
          & f(X3) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ( ! [X1,X2] :
            ( ( f(X2)
              & f(X1) )
           => X1 = X2 )
        & ? [X0] : f(X0) )
    <=> ? [X3] :
          ( ! [X4] :
              ( f(X4)
             => X3 = X4 )
          & f(X3) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( ! [X1,X2] :
          ( ( f(X2)
            & f(X1) )
         => X1 = X2 )
      & ? [X0] : f(X0) )
  <=> ? [X3] :
        ( ! [X4] :
            ( f(X4)
           => X3 = X4 )
        & f(X3) ) ),
    file('/export/starexec/sandbox/tmp/tmp.fTcJwRBkWv/Vampire---4.8_23380',kalish317) ).

fof(f58,plain,
    ( spl6_2
    | spl6_10 ),
    inference(avatar_split_clause,[],[f7,f56,f20]) ).

fof(f7,plain,
    ! [X3] :
      ( ~ f(X3)
      | f(sK5(X3))
      | sP0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ( spl6_2
    | spl6_9 ),
    inference(avatar_split_clause,[],[f8,f52,f20]) ).

fof(f8,plain,
    ! [X3] :
      ( ~ f(X3)
      | sK5(X3) != X3
      | sP0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ( ~ spl6_2
    | spl6_8 ),
    inference(avatar_split_clause,[],[f9,f47,f20]) ).

fof(f9,plain,
    ( f(sK4)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ( spl6_7
    | spl6_2 ),
    inference(avatar_split_clause,[],[f10,f20,f43]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( sP0
      | ~ f(X0)
      | ~ f(X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ( spl6_6
    | spl6_4
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f11,f20,f29,f38]) ).

fof(f11,plain,
    ! [X2] :
      ( ~ sP0
      | ~ f(X2)
      | f(sK2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ( spl6_5
    | spl6_4
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f12,f20,f29,f33]) ).

fof(f12,plain,
    ! [X2] :
      ( ~ sP0
      | ~ f(X2)
      | f(sK3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ( ~ spl6_3
    | spl6_4
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f13,f20,f29,f25]) ).

fof(f13,plain,
    ! [X2] :
      ( ~ sP0
      | ~ f(X2)
      | sK2 != sK3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ( spl6_1
    | spl6_2 ),
    inference(avatar_split_clause,[],[f14,f20,f16]) ).

fof(f14,plain,
    ( sP0
    | f(sK1) ),
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SYN415+1 : TPTP v8.1.2. Released v2.0.0.
% 0.15/0.15  % 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
% 0.16/0.37  % Computer : n021.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.22/0.37  % CPULimit   : 300
% 0.22/0.37  % WCLimit    : 300
% 0.22/0.37  % DateTime   : Tue Apr 30 17:30:41 EDT 2024
% 0.22/0.37  % CPUTime    : 
% 0.22/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.22/0.37  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.fTcJwRBkWv/Vampire---4.8_23380
% 0.58/0.75  % (23635)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)
% 0.58/0.75  % (23629)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)
% 0.58/0.75  % (23630)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)
% 0.58/0.75  % (23632)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)
% 0.58/0.75  % (23633)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)
% 0.58/0.75  % (23634)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)
% 0.58/0.75  % (23635)First to succeed.
% 0.58/0.75  % (23636)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)
% 0.58/0.75  % (23633)Refutation not found, incomplete strategy% (23633)------------------------------
% 0.58/0.75  % (23633)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (23630)Refutation not found, incomplete strategy% (23630)------------------------------
% 0.58/0.75  % (23630)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (23630)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (23630)Memory used [KB]: 967
% 0.58/0.75  % (23630)Time elapsed: 0.003 s
% 0.58/0.75  % (23630)Instructions burned: 2 (million)
% 0.58/0.75  % (23630)------------------------------
% 0.58/0.75  % (23630)------------------------------
% 0.58/0.75  % (23633)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (23634)Refutation not found, incomplete strategy% (23634)------------------------------
% 0.58/0.75  % (23634)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (23634)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (23634)Memory used [KB]: 968
% 0.58/0.75  % (23634)Time elapsed: 0.003 s
% 0.58/0.75  % (23634)Instructions burned: 2 (million)
% 0.58/0.75  % (23634)------------------------------
% 0.58/0.75  % (23634)------------------------------
% 0.58/0.75  % (23633)Memory used [KB]: 971
% 0.58/0.75  % (23633)Time elapsed: 0.003 s
% 0.58/0.75  % (23633)Instructions burned: 2 (million)
% 0.58/0.75  % (23633)------------------------------
% 0.58/0.75  % (23633)------------------------------
% 0.58/0.75  % (23629)Refutation not found, incomplete strategy% (23629)------------------------------
% 0.58/0.75  % (23629)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (23629)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (23629)Memory used [KB]: 993
% 0.58/0.75  % (23629)Time elapsed: 0.003 s
% 0.58/0.75  % (23629)Instructions burned: 3 (million)
% 0.58/0.75  % (23629)------------------------------
% 0.58/0.75  % (23629)------------------------------
% 0.58/0.76  % (23636)Refutation not found, incomplete strategy% (23636)------------------------------
% 0.58/0.76  % (23636)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (23636)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (23636)Memory used [KB]: 985
% 0.58/0.76  % (23636)Time elapsed: 0.004 s
% 0.58/0.76  % (23636)Instructions burned: 2 (million)
% 0.58/0.76  % (23636)------------------------------
% 0.58/0.76  % (23636)------------------------------
% 0.58/0.76  % (23632)Also succeeded, but the first one will report.
% 0.58/0.76  % (23635)Refutation found. Thanks to Tanya!
% 0.58/0.76  % SZS status Theorem for Vampire---4
% 0.58/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76  % (23635)------------------------------
% 0.58/0.76  % (23635)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (23635)Termination reason: Refutation
% 0.58/0.76  
% 0.58/0.76  % (23635)Memory used [KB]: 1024
% 0.58/0.76  % (23635)Time elapsed: 0.004 s
% 0.58/0.76  % (23635)Instructions burned: 6 (million)
% 0.58/0.76  % (23635)------------------------------
% 0.58/0.76  % (23635)------------------------------
% 0.58/0.76  % (23625)Success in time 0.378 s
% 0.58/0.76  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.58/0.76  23625 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.fTcJwRBkWv/Vampire---4.8_23380
% 0.58/0.76  % (23625)------------------------------
% 0.58/0.76  % (23625)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (23625)Termination reason: Unknown
% 0.58/0.76  % (23625)Termination phase: Unknown
% 0.58/0.76  
% 0.58/0.76  % (23625)Memory used [KB]: 438
% 0.58/0.76  % (23625)Time elapsed: 0.378 s
% 0.58/0.76  % (23625)Instructions burned: 952 (million)
% 0.58/0.76  % (23625)------------------------------
% 0.58/0.76  % (23625)------------------------------
% 0.58/0.76  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  ???
% 0.58/0.76   ???
% 0.58/0.76    ???
% 0.58/0.76     ???
% 0.58/0.76      ???
% 0.58/0.76       ???
% 0.58/0.76        ???
% 0.58/0.76         ???
% 0.58/0.76          ???
% 0.58/0.76           ???
% 0.58/0.76            ???
% 0.58/0.76             ???
% 0.58/0.76              ???
% 0.58/0.76               ???
% 0.58/0.76                ???
% 0.58/0.76                 ???
% 0.58/0.76                  ???
% 0.58/0.76                   ???
% 0.58/0.76                    ???
% 0.58/0.76                     ???
% 0.58/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------