TSTP Solution File: SYN211-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN211-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n005.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 12:09:16 EDT 2024

% Result   : Unsatisfiable 0.14s 0.41s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   50 (  11 unt;   0 def)
%            Number of atoms       :  105 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  106 (  51   ~;  48   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   17 (  16 usr;   8 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2113,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1264,f1557,f1576,f1653,f1708,f1711,f2017,f2110]) ).

fof(f2110,plain,
    ~ spl0_300,
    inference(avatar_contradiction_clause,[],[f2109]) ).

fof(f2109,plain,
    ( $false
    | ~ spl0_300 ),
    inference(subsumption_resolution,[],[f2105,f369]) ).

fof(f369,axiom,
    ~ s4(d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f2105,plain,
    ( s4(d)
    | ~ spl0_300 ),
    inference(resolution,[],[f2102,f2009]) ).

fof(f2009,plain,
    ( l1(d,d)
    | ~ spl0_300 ),
    inference(avatar_component_clause,[],[f2008]) ).

fof(f2008,plain,
    ( spl0_300
  <=> l1(d,d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).

fof(f2102,plain,
    ! [X0,X1] :
      ( ~ l1(X0,X1)
      | s4(X0) ),
    inference(subsumption_resolution,[],[f2101,f1788]) ).

fof(f1788,plain,
    ! [X0] : n2(X0),
    inference(resolution,[],[f1780,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

fof(f1780,plain,
    ! [X0,X1] :
      ( ~ p0(X0,X1)
      | n2(X1) ),
    inference(resolution,[],[f123,f175]) ).

fof(f175,axiom,
    ! [X10,X11,X6] :
      ( ~ p1(X11,X6,X10)
      | n2(X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_137) ).

fof(f123,axiom,
    ! [X11,X6] :
      ( p1(X11,X11,X11)
      | ~ p0(X6,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_085) ).

fof(f2101,plain,
    ! [X0,X1] :
      ( ~ l1(X0,X1)
      | s4(X0)
      | ~ n2(X1) ),
    inference(resolution,[],[f337,f282]) ).

fof(f282,axiom,
    ! [X5] :
      ( p3(X5,X5,X5)
      | ~ n2(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_244) ).

fof(f337,axiom,
    ! [X10,X11,X6,X7] :
      ( ~ p3(X11,X6,X7)
      | ~ l1(X10,X6)
      | s4(X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_299) ).

fof(f2017,plain,
    ( ~ spl0_63
    | ~ spl0_218
    | spl0_300 ),
    inference(avatar_contradiction_clause,[],[f2016]) ).

fof(f2016,plain,
    ( $false
    | ~ spl0_63
    | ~ spl0_218
    | spl0_300 ),
    inference(subsumption_resolution,[],[f2014,f647]) ).

fof(f647,plain,
    ( k1(d)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f646,plain,
    ( spl0_63
  <=> k1(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f2014,plain,
    ( ~ k1(d)
    | ~ spl0_218
    | spl0_300 ),
    inference(resolution,[],[f2010,f1263]) ).

fof(f1263,plain,
    ( ! [X10] :
        ( l1(X10,X10)
        | ~ k1(X10) )
    | ~ spl0_218 ),
    inference(avatar_component_clause,[],[f1262]) ).

fof(f1262,plain,
    ( spl0_218
  <=> ! [X10] :
        ( ~ k1(X10)
        | l1(X10,X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).

fof(f2010,plain,
    ( ~ l1(d,d)
    | spl0_300 ),
    inference(avatar_component_clause,[],[f2008]) ).

fof(f1711,plain,
    ( ~ spl0_10
    | ~ spl0_217
    | ~ spl0_245 ),
    inference(avatar_contradiction_clause,[],[f1710]) ).

fof(f1710,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_217
    | ~ spl0_245 ),
    inference(subsumption_resolution,[],[f1709,f412]) ).

fof(f412,plain,
    ( l0(c)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f411,plain,
    ( spl0_10
  <=> l0(c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1709,plain,
    ( ~ l0(c)
    | ~ spl0_217
    | ~ spl0_245 ),
    inference(resolution,[],[f1361,f1260]) ).

fof(f1260,plain,
    ( ! [X11] :
        ( ~ l1(X11,X11)
        | ~ l0(X11) )
    | ~ spl0_217 ),
    inference(avatar_component_clause,[],[f1259]) ).

fof(f1259,plain,
    ( spl0_217
  <=> ! [X11] :
        ( ~ l0(X11)
        | ~ l1(X11,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).

fof(f1361,plain,
    ( l1(c,c)
    | ~ spl0_245 ),
    inference(avatar_component_clause,[],[f1360]) ).

fof(f1360,plain,
    ( spl0_245
  <=> l1(c,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).

fof(f1708,plain,
    spl0_245,
    inference(avatar_contradiction_clause,[],[f1707]) ).

fof(f1707,plain,
    ( $false
    | spl0_245 ),
    inference(resolution,[],[f1700,f26]) ).

fof(f26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).

fof(f1700,plain,
    ( ! [X0] : ~ n0(X0,c)
    | spl0_245 ),
    inference(resolution,[],[f40,f1362]) ).

fof(f1362,plain,
    ( ~ l1(c,c)
    | spl0_245 ),
    inference(avatar_component_clause,[],[f1360]) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( l1(X4,X4)
      | ~ n0(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).

fof(f1653,plain,
    ( spl0_63
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1634,f1066,f646]) ).

fof(f1066,plain,
    ( spl0_170
  <=> n0(c,d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f1634,plain,
    ( k1(d)
    | ~ spl0_170 ),
    inference(resolution,[],[f39,f1067]) ).

fof(f1067,plain,
    ( n0(c,d)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1066]) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( ~ n0(X3,X2)
      | k1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).

fof(f1576,plain,
    spl0_170,
    inference(avatar_split_clause,[],[f34,f1066]) ).

fof(f34,axiom,
    n0(c,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).

fof(f1557,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f24,f411]) ).

fof(f24,axiom,
    l0(c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).

fof(f1264,plain,
    ( spl0_217
    | spl0_218 ),
    inference(avatar_split_clause,[],[f42,f1262,f1259]) ).

fof(f42,axiom,
    ! [X10,X11] :
      ( ~ k1(X10)
      | ~ l0(X11)
      | ~ l1(X11,X11)
      | l1(X10,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_004) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SYN211-1 : TPTP v8.1.2. Released v1.1.0.
% 0.13/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n005.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 17:40:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.37  % (22810)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39  % (22816)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39  % (22817)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39  % (22811)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39  % (22813)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.39  % (22812)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.40  % (22814)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.40  % (22815)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.40  Detected minimum model sizes of [1]
% 0.14/0.40  Detected maximum model sizes of [5]
% 0.14/0.40  TRYING [1]
% 0.14/0.40  Detected minimum model sizes of [1]
% 0.14/0.40  Detected maximum model sizes of [5]
% 0.14/0.40  TRYING [1]
% 0.14/0.40  TRYING [2]
% 0.14/0.40  TRYING [2]
% 0.14/0.40  % (22816)First to succeed.
% 0.14/0.41  % (22816)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22810"
% 0.14/0.41  % (22816)Refutation found. Thanks to Tanya!
% 0.14/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.41  % (22816)------------------------------
% 0.14/0.41  % (22816)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.41  % (22816)Termination reason: Refutation
% 0.14/0.41  
% 0.14/0.41  % (22816)Memory used [KB]: 1728
% 0.14/0.41  % (22816)Time elapsed: 0.018 s
% 0.14/0.41  % (22816)Instructions burned: 36 (million)
% 0.14/0.41  % (22810)Success in time 0.04 s
%------------------------------------------------------------------------------