TSTP Solution File: SYN117-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN117-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 Aug 31 19:25:36 EDT 2022

% Result   : Unsatisfiable 0.20s 0.61s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   50 (   8 unt;   0 def)
%            Number of atoms       :  113 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  125 (  62   ~;  55   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   20 (  19 usr;   9 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   42 (  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1836,plain,
    $false,
    inference(avatar_sat_refutation,[],[f694,f1271,f1295,f1566,f1567,f1655,f1669,f1785,f1832]) ).

fof(f1832,plain,
    ( ~ spl0_83
    | ~ spl0_222
    | ~ spl0_228 ),
    inference(avatar_contradiction_clause,[],[f1820]) ).

fof(f1820,plain,
    ( $false
    | ~ spl0_83
    | ~ spl0_222
    | ~ spl0_228 ),
    inference(resolution,[],[f1812,f1294]) ).

fof(f1294,plain,
    ( p1(e,e,e)
    | ~ spl0_228 ),
    inference(avatar_component_clause,[],[f1292]) ).

fof(f1292,plain,
    ( spl0_228
  <=> p1(e,e,e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).

fof(f1812,plain,
    ( ! [X0] : ~ p1(X0,e,e)
    | ~ spl0_83
    | ~ spl0_222 ),
    inference(resolution,[],[f1811,f693]) ).

fof(f693,plain,
    ( ! [X4,X5] :
        ( p2(e,X4,X5)
        | ~ p1(X4,X5,e) )
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f692,plain,
    ( spl0_83
  <=> ! [X4,X5] :
        ( p2(e,X4,X5)
        | ~ p1(X4,X5,e) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1811,plain,
    ( ! [X0] : ~ p2(e,X0,e)
    | ~ spl0_222 ),
    inference(resolution,[],[f1789,f369]) ).

fof(f369,axiom,
    ~ k5(e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f1789,plain,
    ( ! [X2,X1] :
        ( k5(X1)
        | ~ p2(X1,X2,X1) )
    | ~ spl0_222 ),
    inference(resolution,[],[f1270,f305]) ).

fof(f305,axiom,
    ! [X11,X6,X7] :
      ( r3(X11,X6,X11)
      | ~ p2(X11,X7,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_267) ).

fof(f1270,plain,
    ( ! [X8,X4] :
        ( ~ r3(X4,X8,X8)
        | k5(X8) )
    | ~ spl0_222 ),
    inference(avatar_component_clause,[],[f1269]) ).

fof(f1269,plain,
    ( spl0_222
  <=> ! [X4,X8] :
        ( ~ r3(X4,X8,X8)
        | k5(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).

fof(f1785,plain,
    ( ~ spl0_37
    | ~ spl0_52
    | ~ spl0_221 ),
    inference(avatar_contradiction_clause,[],[f1784]) ).

fof(f1784,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_52
    | ~ spl0_221 ),
    inference(resolution,[],[f1781,f569]) ).

fof(f569,plain,
    ( l1(e,e)
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f568,plain,
    ( spl0_52
  <=> l1(e,e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1781,plain,
    ( ! [X4] : ~ l1(X4,e)
    | ~ spl0_37
    | ~ spl0_221 ),
    inference(resolution,[],[f1774,f511]) ).

fof(f511,plain,
    ( n2(e)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f510,plain,
    ( spl0_37
  <=> n2(e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1774,plain,
    ( ! [X4,X5] :
        ( ~ n2(X5)
        | ~ l1(X4,X5) )
    | ~ spl0_221 ),
    inference(resolution,[],[f1771,f282]) ).

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

fof(f1771,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ p3(X0,X1,X2)
        | ~ l1(X3,X1) )
    | ~ spl0_221 ),
    inference(resolution,[],[f337,f1267]) ).

fof(f1267,plain,
    ( ! [X9] : ~ s4(X9)
    | ~ spl0_221 ),
    inference(avatar_component_clause,[],[f1266]) ).

fof(f1266,plain,
    ( spl0_221
  <=> ! [X9] : ~ s4(X9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).

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

fof(f1669,plain,
    ( spl0_37
    | ~ spl0_228 ),
    inference(avatar_contradiction_clause,[],[f1668]) ).

fof(f1668,plain,
    ( $false
    | spl0_37
    | ~ spl0_228 ),
    inference(resolution,[],[f1666,f1294]) ).

fof(f1666,plain,
    ( ! [X0,X1] : ~ p1(X0,X1,e)
    | spl0_37 ),
    inference(resolution,[],[f175,f512]) ).

fof(f512,plain,
    ( ~ n2(e)
    | spl0_37 ),
    inference(avatar_component_clause,[],[f510]) ).

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

fof(f1655,plain,
    spl0_52,
    inference(avatar_contradiction_clause,[],[f1652]) ).

fof(f1652,plain,
    ( $false
    | spl0_52 ),
    inference(resolution,[],[f1650,f3]) ).

fof(f3,axiom,
    n0(d,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f1650,plain,
    ( ! [X0] : ~ n0(X0,e)
    | spl0_52 ),
    inference(resolution,[],[f570,f40]) ).

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

fof(f570,plain,
    ( ~ l1(e,e)
    | spl0_52 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f1567,plain,
    spl0_112,
    inference(avatar_split_clause,[],[f28,f812]) ).

fof(f812,plain,
    ( spl0_112
  <=> k0(e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f28,axiom,
    k0(e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).

fof(f1566,plain,
    spl0_76,
    inference(avatar_split_clause,[],[f13,f665]) ).

fof(f665,plain,
    ( spl0_76
  <=> r0(e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f13,axiom,
    r0(e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).

fof(f1295,plain,
    ( ~ spl0_76
    | spl0_228
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f128,f812,f1292,f665]) ).

fof(f128,axiom,
    ( ~ k0(e)
    | p1(e,e,e)
    | ~ r0(e) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_090) ).

fof(f1271,plain,
    ( spl0_221
    | spl0_222 ),
    inference(avatar_split_clause,[],[f338,f1269,f1266]) ).

fof(f338,axiom,
    ! [X8,X9,X4] :
      ( ~ r3(X4,X8,X8)
      | k5(X8)
      | ~ s4(X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_300) ).

fof(f694,plain,
    ( ~ spl0_76
    | spl0_83 ),
    inference(avatar_split_clause,[],[f183,f692,f665]) ).

fof(f183,axiom,
    ! [X4,X5] :
      ( p2(e,X4,X5)
      | ~ p1(X4,X5,e)
      | ~ r0(e) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_145) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN117-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 21:46:06 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.55  % (15169)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.55  % (15169)Instruction limit reached!
% 0.20/0.55  % (15169)------------------------------
% 0.20/0.55  % (15169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (15164)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.55  % (15169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (15169)Termination reason: Unknown
% 0.20/0.55  % (15169)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (15169)Memory used [KB]: 6140
% 0.20/0.56  % (15169)Time elapsed: 0.007 s
% 0.20/0.56  % (15169)Instructions burned: 6 (million)
% 0.20/0.56  % (15169)------------------------------
% 0.20/0.56  % (15169)------------------------------
% 0.20/0.58  % (15161)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.58  % (15181)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.59  % (15181)Refutation not found, incomplete strategy% (15181)------------------------------
% 0.20/0.59  % (15181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (15181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (15181)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.59  
% 0.20/0.59  % (15181)Memory used [KB]: 6140
% 0.20/0.59  % (15181)Time elapsed: 0.010 s
% 0.20/0.59  % (15181)Instructions burned: 4 (million)
% 0.20/0.59  % (15181)------------------------------
% 0.20/0.59  % (15181)------------------------------
% 0.20/0.59  % (15162)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.60  % (15162)Refutation not found, incomplete strategy% (15162)------------------------------
% 0.20/0.60  % (15162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (15162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (15162)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.60  
% 0.20/0.60  % (15162)Memory used [KB]: 6140
% 0.20/0.60  % (15162)Time elapsed: 0.004 s
% 0.20/0.60  % (15162)Instructions burned: 2 (million)
% 0.20/0.60  % (15162)------------------------------
% 0.20/0.60  % (15162)------------------------------
% 0.20/0.60  % (15170)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.60  % (15161)Instruction limit reached!
% 0.20/0.60  % (15161)------------------------------
% 0.20/0.60  % (15161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (15161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (15161)Termination reason: Unknown
% 0.20/0.60  % (15161)Termination phase: General splitting
% 0.20/0.60  
% 0.20/0.60  % (15161)Memory used [KB]: 1791
% 0.20/0.60  % (15161)Time elapsed: 0.004 s
% 0.20/0.60  % (15161)Instructions burned: 4 (million)
% 0.20/0.60  % (15161)------------------------------
% 0.20/0.60  % (15161)------------------------------
% 0.20/0.60  % (15164)First to succeed.
% 0.20/0.60  % (15168)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.60  % (15176)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.61  % (15164)Refutation found. Thanks to Tanya!
% 0.20/0.61  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.61  % (15164)------------------------------
% 0.20/0.61  % (15164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (15164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (15164)Termination reason: Refutation
% 0.20/0.61  
% 0.20/0.61  % (15164)Memory used [KB]: 7164
% 0.20/0.61  % (15164)Time elapsed: 0.162 s
% 0.20/0.61  % (15164)Instructions burned: 24 (million)
% 0.20/0.61  % (15164)------------------------------
% 0.20/0.61  % (15164)------------------------------
% 0.20/0.61  % (15158)Success in time 0.253 s
%------------------------------------------------------------------------------