TSTP Solution File: SYN109-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN109-1 : TPTP v8.1.2. Released v1.1.0.
% 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 11:56:05 EDT 2024

% Result   : Unsatisfiable 0.64s 0.76s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   46 (  12 unt;   0 def)
%            Number of atoms       :   97 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  101 (  50   ~;  42   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   18 (  17 usr;  10 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2057,plain,
    $false,
    inference(avatar_sat_refutation,[],[f747,f1531,f1533,f1535,f1555,f1611,f1998,f2023,f2038,f2055]) ).

fof(f2055,plain,
    ( ~ spl0_109
    | ~ spl0_91
    | ~ spl0_308 ),
    inference(avatar_split_clause,[],[f2047,f2036,f745,f818]) ).

fof(f818,plain,
    ( spl0_109
  <=> k1(c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f745,plain,
    ( spl0_91
  <=> ! [X10] :
        ( ~ k1(X10)
        | q1(X10,X10,X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f2036,plain,
    ( spl0_308
  <=> ! [X0] : ~ q1(X0,c,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).

fof(f2047,plain,
    ( ~ k1(c)
    | ~ spl0_91
    | ~ spl0_308 ),
    inference(resolution,[],[f2037,f746]) ).

fof(f746,plain,
    ( ! [X10] :
        ( q1(X10,X10,X10)
        | ~ k1(X10) )
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f2037,plain,
    ( ! [X0] : ~ q1(X0,c,c)
    | ~ spl0_308 ),
    inference(avatar_component_clause,[],[f2036]) ).

fof(f2038,plain,
    ( spl0_308
    | ~ spl0_109
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f2033,f1996,f818,f2036]) ).

fof(f1996,plain,
    ( spl0_301
  <=> ! [X0] :
        ( ~ k1(X0)
        | ~ k2(X0,c) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).

fof(f2033,plain,
    ( ! [X0] :
        ( ~ k1(c)
        | ~ q1(X0,c,c) )
    | ~ spl0_301 ),
    inference(resolution,[],[f1997,f167]) ).

fof(f167,axiom,
    ! [X3,X10] :
      ( k2(X3,X3)
      | ~ q1(X10,X3,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.YnnSG2HhK9/Vampire---4.8_11339',rule_129) ).

fof(f1997,plain,
    ( ! [X0] :
        ( ~ k2(X0,c)
        | ~ k1(X0) )
    | ~ spl0_301 ),
    inference(avatar_component_clause,[],[f1996]) ).

fof(f2023,plain,
    ( ~ spl0_21
    | ~ spl0_51
    | ~ spl0_300 ),
    inference(avatar_split_clause,[],[f2010,f1993,f579,f454]) ).

fof(f454,plain,
    ( spl0_21
  <=> l0(c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f579,plain,
    ( spl0_51
  <=> r0(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1993,plain,
    ( spl0_300
  <=> ! [X1] : ~ m1(X1,c,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).

fof(f2010,plain,
    ( ~ r0(b)
    | ~ l0(c)
    | ~ spl0_300 ),
    inference(resolution,[],[f1994,f73]) ).

fof(f73,axiom,
    ! [X2,X3] :
      ( m1(X2,X3,X2)
      | ~ r0(X2)
      | ~ l0(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.YnnSG2HhK9/Vampire---4.8_11339',rule_035) ).

fof(f1994,plain,
    ( ! [X1] : ~ m1(X1,c,b)
    | ~ spl0_300 ),
    inference(avatar_component_clause,[],[f1993]) ).

fof(f1998,plain,
    ( spl0_300
    | spl0_301
    | spl0_201 ),
    inference(avatar_split_clause,[],[f1990,f1187,f1996,f1993]) ).

fof(f1187,plain,
    ( spl0_201
  <=> k2(b,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).

fof(f1990,plain,
    ( ! [X0,X1] :
        ( ~ k1(X0)
        | ~ m1(X1,c,b)
        | ~ k2(X0,c) )
    | spl0_201 ),
    inference(resolution,[],[f165,f1189]) ).

fof(f1189,plain,
    ( ~ k2(b,c)
    | spl0_201 ),
    inference(avatar_component_clause,[],[f1187]) ).

fof(f165,axiom,
    ! [X8,X6,X9,X7] :
      ( k2(X6,X7)
      | ~ k1(X9)
      | ~ m1(X8,X7,X6)
      | ~ k2(X9,X7) ),
    file('/export/starexec/sandbox2/tmp/tmp.YnnSG2HhK9/Vampire---4.8_11339',rule_127) ).

fof(f1611,plain,
    spl0_109,
    inference(avatar_split_clause,[],[f1603,f818]) ).

fof(f1603,plain,
    k1(c),
    inference(resolution,[],[f39,f26]) ).

fof(f26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox2/tmp/tmp.YnnSG2HhK9/Vampire---4.8_11339',axiom_26) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( ~ n0(X3,X2)
      | k1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.YnnSG2HhK9/Vampire---4.8_11339',rule_001) ).

fof(f1555,plain,
    spl0_36,
    inference(avatar_contradiction_clause,[],[f1554]) ).

fof(f1554,plain,
    ( $false
    | spl0_36 ),
    inference(resolution,[],[f521,f5]) ).

fof(f5,axiom,
    s0(b),
    file('/export/starexec/sandbox2/tmp/tmp.YnnSG2HhK9/Vampire---4.8_11339',axiom_5) ).

fof(f521,plain,
    ( ~ s0(b)
    | spl0_36 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f519,plain,
    ( spl0_36
  <=> s0(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1535,plain,
    spl0_51,
    inference(avatar_contradiction_clause,[],[f1534]) ).

fof(f1534,plain,
    ( $false
    | spl0_51 ),
    inference(resolution,[],[f581,f9]) ).

fof(f9,axiom,
    r0(b),
    file('/export/starexec/sandbox2/tmp/tmp.YnnSG2HhK9/Vampire---4.8_11339',axiom_9) ).

fof(f581,plain,
    ( ~ r0(b)
    | spl0_51 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f1533,plain,
    spl0_21,
    inference(avatar_contradiction_clause,[],[f1532]) ).

fof(f1532,plain,
    ( $false
    | spl0_21 ),
    inference(resolution,[],[f456,f24]) ).

fof(f24,axiom,
    l0(c),
    file('/export/starexec/sandbox2/tmp/tmp.YnnSG2HhK9/Vampire---4.8_11339',axiom_24) ).

fof(f456,plain,
    ( ~ l0(c)
    | spl0_21 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f1531,plain,
    ~ spl0_201,
    inference(avatar_split_clause,[],[f369,f1187]) ).

fof(f369,axiom,
    ~ k2(b,c),
    file('/export/starexec/sandbox2/tmp/tmp.YnnSG2HhK9/Vampire---4.8_11339',prove_this) ).

fof(f747,plain,
    ( spl0_91
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f150,f519,f745]) ).

fof(f150,axiom,
    ! [X10] :
      ( ~ s0(b)
      | ~ k1(X10)
      | q1(X10,X10,X10) ),
    file('/export/starexec/sandbox2/tmp/tmp.YnnSG2HhK9/Vampire---4.8_11339',rule_112) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN109-1 : TPTP v8.1.2. Released v1.1.0.
% 0.15/0.15  % 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
% 0.15/0.36  % Computer : n014.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 17:25:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_EPR_NEQ_HRN problem
% 0.22/0.36  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.YnnSG2HhK9/Vampire---4.8_11339
% 0.57/0.75  % (11718)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (11716)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)
% 0.57/0.75  % (11719)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)
% 0.57/0.75  % (11720)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)
% 0.57/0.75  % (11722)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)
% 0.57/0.75  % (11721)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)
% 0.57/0.75  % (11719)Refutation not found, incomplete strategy% (11719)------------------------------
% 0.57/0.75  % (11719)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (11719)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (11719)Memory used [KB]: 1273
% 0.57/0.75  % (11719)Time elapsed: 0.003 s
% 0.57/0.75  % (11717)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)
% 0.57/0.75  % (11719)Instructions burned: 3 (million)
% 0.57/0.75  % (11723)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)
% 0.57/0.75  % (11719)------------------------------
% 0.57/0.75  % (11719)------------------------------
% 0.57/0.75  % (11721)Refutation not found, incomplete strategy% (11721)------------------------------
% 0.57/0.75  % (11721)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (11721)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (11721)Memory used [KB]: 1275
% 0.57/0.75  % (11721)Time elapsed: 0.005 s
% 0.57/0.75  % (11721)Instructions burned: 6 (million)
% 0.57/0.75  % (11721)------------------------------
% 0.57/0.75  % (11721)------------------------------
% 0.57/0.75  % (11716)Refutation not found, incomplete strategy% (11716)------------------------------
% 0.57/0.75  % (11716)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (11716)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (11716)Memory used [KB]: 1402
% 0.57/0.75  % (11716)Time elapsed: 0.006 s
% 0.57/0.75  % (11716)Instructions burned: 7 (million)
% 0.57/0.75  % (11716)------------------------------
% 0.57/0.75  % (11716)------------------------------
% 0.57/0.75  % (11723)Refutation not found, incomplete strategy% (11723)------------------------------
% 0.57/0.75  % (11723)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (11720)Refutation not found, incomplete strategy% (11720)------------------------------
% 0.57/0.75  % (11720)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (11720)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (11720)Memory used [KB]: 1422
% 0.57/0.75  % (11720)Time elapsed: 0.007 s
% 0.57/0.75  % (11720)Instructions burned: 10 (million)
% 0.57/0.75  % (11723)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (11723)Memory used [KB]: 1379
% 0.57/0.75  % (11723)Time elapsed: 0.006 s
% 0.57/0.75  % (11723)Instructions burned: 6 (million)
% 0.57/0.75  % (11720)------------------------------
% 0.57/0.75  % (11720)------------------------------
% 0.57/0.75  % (11723)------------------------------
% 0.57/0.75  % (11723)------------------------------
% 0.57/0.75  % (11727)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.57/0.75  % (11727)Refutation not found, incomplete strategy% (11727)------------------------------
% 0.57/0.75  % (11727)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (11727)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (11727)Memory used [KB]: 1273
% 0.57/0.75  % (11727)Time elapsed: 0.002 s
% 0.57/0.75  % (11727)Instructions burned: 3 (million)
% 0.57/0.75  % (11727)------------------------------
% 0.57/0.75  % (11727)------------------------------
% 0.57/0.75  % (11728)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.57/0.76  % (11729)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.57/0.76  % (11731)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.57/0.76  % (11732)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.57/0.76  % (11722)Refutation not found, incomplete strategy% (11722)------------------------------
% 0.57/0.76  % (11722)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (11722)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (11722)Memory used [KB]: 1557
% 0.57/0.76  % (11722)Time elapsed: 0.013 s
% 0.57/0.76  % (11722)Instructions burned: 20 (million)
% 0.57/0.76  % (11722)------------------------------
% 0.57/0.76  % (11722)------------------------------
% 0.57/0.76  % (11734)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.64/0.76  % (11732)Refutation not found, incomplete strategy% (11732)------------------------------
% 0.64/0.76  % (11732)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.76  % (11732)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.76  
% 0.64/0.76  % (11732)Memory used [KB]: 1391
% 0.64/0.76  % (11732)Time elapsed: 0.006 s
% 0.64/0.76  % (11732)Instructions burned: 6 (million)
% 0.64/0.76  % (11718)Also succeeded, but the first one will report.
% 0.64/0.76  % (11717)First to succeed.
% 0.64/0.76  % (11732)------------------------------
% 0.64/0.76  % (11732)------------------------------
% 0.64/0.76  % (11717)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11550"
% 0.64/0.76  % (11717)Refutation found. Thanks to Tanya!
% 0.64/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.64/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.76  % (11717)------------------------------
% 0.64/0.76  % (11717)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.76  % (11717)Termination reason: Refutation
% 0.64/0.76  
% 0.64/0.76  % (11717)Memory used [KB]: 1951
% 0.64/0.76  % (11717)Time elapsed: 0.014 s
% 0.64/0.76  % (11717)Instructions burned: 37 (million)
% 0.64/0.76  % (11550)Success in time 0.392 s
% 0.64/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------