TSTP Solution File: GRA008+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRA008+2 : TPTP v8.1.0. Bugfixed v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n015.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 16:13:32 EDT 2022

% Result   : Theorem 1.64s 0.57s
% Output   : Refutation 1.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  106 (  13 unt;   0 def)
%            Number of atoms       :  345 (  55 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  405 ( 166   ~; 161   |;  45   &)
%                                         (  21 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   25 (  23 usr;  19 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :  148 ( 131   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1139,plain,
    $false,
    inference(avatar_sat_refutation,[],[f142,f146,f162,f170,f193,f195,f300,f302,f310,f318,f785,f809,f853,f868,f903,f1134,f1136,f1138]) ).

fof(f1138,plain,
    ( ~ spl14_94
    | ~ spl14_24
    | ~ spl14_100
    | ~ spl14_130 ),
    inference(avatar_split_clause,[],[f1137,f1132,f865,f293,f782]) ).

fof(f782,plain,
    ( spl14_94
  <=> sequential(sK7(sK8,sK10),sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_94])]) ).

fof(f293,plain,
    ( spl14_24
  <=> edge(sK7(sK8,sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_24])]) ).

fof(f865,plain,
    ( spl14_100
  <=> sequential(sK10,sK7(sK8,sK10)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_100])]) ).

fof(f1132,plain,
    ( spl14_130
  <=> ! [X0] :
        ( ~ sequential(X0,sK8)
        | ~ edge(X0)
        | ~ sequential(sK10,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_130])]) ).

fof(f1137,plain,
    ( ~ edge(sK7(sK8,sK10))
    | ~ sequential(sK7(sK8,sK10),sK8)
    | ~ spl14_100
    | ~ spl14_130 ),
    inference(resolution,[],[f1133,f867]) ).

fof(f867,plain,
    ( sequential(sK10,sK7(sK8,sK10))
    | ~ spl14_100 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f1133,plain,
    ( ! [X0] :
        ( ~ sequential(sK10,X0)
        | ~ sequential(X0,sK8)
        | ~ edge(X0) )
    | ~ spl14_130 ),
    inference(avatar_component_clause,[],[f1132]) ).

fof(f1136,plain,
    spl14_129,
    inference(avatar_contradiction_clause,[],[f1135]) ).

fof(f1135,plain,
    ( $false
    | spl14_129 ),
    inference(resolution,[],[f1130,f115]) ).

fof(f115,plain,
    sequential(sK8,sK10),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( complete
    & ? [X2,X3,X1,X4,X0] :
        ( shortest_path(X0,X3,X4)
        & sequential(X2,X1)
        & ! [X5] : ~ triangle(X2,X1,X5)
        & precedes(X2,X1,X4) ) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ( ? [X0,X3,X1,X4,X2] :
        ( ! [X5] : ~ triangle(X2,X1,X5)
        & precedes(X2,X1,X4)
        & sequential(X2,X1)
        & shortest_path(X0,X3,X4) )
    & complete ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ~ ( complete
     => ! [X0,X3,X1,X4,X2] :
          ( ( precedes(X2,X1,X4)
            & sequential(X2,X1)
            & shortest_path(X0,X3,X4) )
         => ? [X5] : triangle(X2,X1,X5) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ( complete
     => ! [X1,X7,X6,X2,X3] :
          ( ( precedes(X6,X7,X3)
            & sequential(X6,X7)
            & shortest_path(X1,X2,X3) )
         => ? [X8] : triangle(X6,X7,X8) ) ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ( complete
   => ! [X1,X7,X6,X2,X3] :
        ( ( precedes(X6,X7,X3)
          & sequential(X6,X7)
          & shortest_path(X1,X2,X3) )
       => ? [X8] : triangle(X6,X7,X8) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sequential_is_triangle) ).

fof(f1130,plain,
    ( ~ sequential(sK8,sK10)
    | spl14_129 ),
    inference(avatar_component_clause,[],[f1128]) ).

fof(f1128,plain,
    ( spl14_129
  <=> sequential(sK8,sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_129])]) ).

fof(f1134,plain,
    ( ~ spl14_93
    | ~ spl14_11
    | ~ spl14_129
    | spl14_130 ),
    inference(avatar_split_clause,[],[f1125,f1132,f1128,f181,f778]) ).

fof(f778,plain,
    ( spl14_93
  <=> edge(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_93])]) ).

fof(f181,plain,
    ( spl14_11
  <=> edge(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).

fof(f1125,plain,
    ! [X0] :
      ( ~ sequential(X0,sK8)
      | ~ sequential(sK10,X0)
      | ~ sequential(sK8,sK10)
      | ~ edge(X0)
      | ~ edge(sK10)
      | ~ edge(sK8) ),
    inference(resolution,[],[f85,f114]) ).

fof(f114,plain,
    ! [X5] : ~ triangle(sK8,sK10,X5),
    inference(cnf_transformation,[],[f52]) ).

fof(f85,plain,
    ! [X2,X0,X1] :
      ( triangle(X0,X1,X2)
      | ~ sequential(X0,X1)
      | ~ edge(X2)
      | ~ edge(X1)
      | ~ sequential(X2,X0)
      | ~ sequential(X1,X2)
      | ~ edge(X0) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X1,X0,X2] :
      ( ~ edge(X2)
      | triangle(X0,X1,X2)
      | ~ sequential(X1,X2)
      | ~ edge(X0)
      | ~ sequential(X2,X0)
      | ~ edge(X1)
      | ~ sequential(X0,X1) ),
    inference(flattening,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1,X2] :
      ( triangle(X0,X1,X2)
      | ~ edge(X1)
      | ~ edge(X2)
      | ~ sequential(X2,X0)
      | ~ sequential(X0,X1)
      | ~ edge(X0)
      | ~ sequential(X1,X2) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( ( edge(X1)
        & edge(X2)
        & sequential(X2,X0)
        & sequential(X0,X1)
        & edge(X0)
        & sequential(X1,X2) )
     => triangle(X0,X1,X2) ),
    inference(unused_predicate_definition_removal,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( triangle(X0,X1,X2)
    <=> ( edge(X1)
        & edge(X2)
        & sequential(X2,X0)
        & sequential(X0,X1)
        & edge(X0)
        & sequential(X1,X2) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X6,X7,X8] :
      ( ( edge(X6)
        & edge(X7)
        & sequential(X6,X7)
        & sequential(X7,X8)
        & edge(X8)
        & sequential(X8,X6) )
    <=> triangle(X6,X7,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',triangle_defn) ).

fof(f903,plain,
    ( spl14_13
    | ~ spl14_7
    | ~ spl14_30 ),
    inference(avatar_split_clause,[],[f902,f326,f160,f190]) ).

fof(f190,plain,
    ( spl14_13
  <=> head_of(sK10) = head_of(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).

fof(f160,plain,
    ( spl14_7
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ shortest_path(X0,X4,X3)
        | head_of(X2) = tail_of(sK7(X1,X2))
        | ~ precedes(X1,X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).

fof(f326,plain,
    ( spl14_30
  <=> sK10 = sK7(sK8,sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_30])]) ).

fof(f902,plain,
    ( head_of(sK10) = head_of(sK8)
    | ~ spl14_7
    | ~ spl14_30 ),
    inference(forward_demodulation,[],[f872,f177]) ).

fof(f177,plain,
    tail_of(sK10) = head_of(sK8),
    inference(resolution,[],[f82,f115]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ sequential(X1,X0)
      | tail_of(X0) = head_of(X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( sequential(X1,X0)
    <=> ( edge(X1)
        & tail_of(X0) = head_of(X1)
        & X0 != X1
        & edge(X0) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X7,X6] :
      ( ( head_of(X6) = tail_of(X7)
        & edge(X7)
        & edge(X6)
        & X6 != X7 )
    <=> sequential(X6,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sequential_defn) ).

fof(f872,plain,
    ( head_of(sK10) = tail_of(sK10)
    | ~ spl14_7
    | ~ spl14_30 ),
    inference(superposition,[],[f287,f328]) ).

fof(f328,plain,
    ( sK10 = sK7(sK8,sK10)
    | ~ spl14_30 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f287,plain,
    ( head_of(sK10) = tail_of(sK7(sK8,sK10))
    | ~ spl14_7 ),
    inference(resolution,[],[f286,f113]) ).

fof(f113,plain,
    precedes(sK8,sK10,sK11),
    inference(cnf_transformation,[],[f52]) ).

fof(f286,plain,
    ( ! [X0,X1] :
        ( ~ precedes(X0,X1,sK11)
        | head_of(X1) = tail_of(sK7(X0,X1)) )
    | ~ spl14_7 ),
    inference(resolution,[],[f161,f116]) ).

fof(f116,plain,
    shortest_path(sK12,sK9,sK11),
    inference(cnf_transformation,[],[f52]) ).

fof(f161,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ shortest_path(X0,X4,X3)
        | ~ precedes(X1,X2,X3)
        | head_of(X2) = tail_of(sK7(X1,X2)) )
    | ~ spl14_7 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f868,plain,
    ( ~ spl14_11
    | spl14_30
    | spl14_100
    | ~ spl14_28 ),
    inference(avatar_split_clause,[],[f863,f316,f865,f326,f181]) ).

fof(f316,plain,
    ( spl14_28
  <=> ! [X2] :
        ( sK7(sK8,sK10) = X2
        | ~ edge(X2)
        | sequential(X2,sK7(sK8,sK10))
        | head_of(sK10) != head_of(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_28])]) ).

fof(f863,plain,
    ( sequential(sK10,sK7(sK8,sK10))
    | sK10 = sK7(sK8,sK10)
    | ~ edge(sK10)
    | ~ spl14_28 ),
    inference(equality_resolution,[],[f317]) ).

fof(f317,plain,
    ( ! [X2] :
        ( head_of(sK10) != head_of(X2)
        | sequential(X2,sK7(sK8,sK10))
        | sK7(sK8,sK10) = X2
        | ~ edge(X2) )
    | ~ spl14_28 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f853,plain,
    ( spl14_25
    | ~ spl14_7
    | ~ spl14_92 ),
    inference(avatar_split_clause,[],[f827,f774,f160,f297]) ).

fof(f297,plain,
    ( spl14_25
  <=> head_of(sK10) = tail_of(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_25])]) ).

fof(f774,plain,
    ( spl14_92
  <=> sK8 = sK7(sK8,sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_92])]) ).

fof(f827,plain,
    ( head_of(sK10) = tail_of(sK8)
    | ~ spl14_7
    | ~ spl14_92 ),
    inference(superposition,[],[f287,f776]) ).

fof(f776,plain,
    ( sK8 = sK7(sK8,sK10)
    | ~ spl14_92 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f809,plain,
    spl14_93,
    inference(avatar_contradiction_clause,[],[f808]) ).

fof(f808,plain,
    ( $false
    | spl14_93 ),
    inference(resolution,[],[f780,f176]) ).

fof(f176,plain,
    edge(sK8),
    inference(resolution,[],[f83,f115]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ~ sequential(X1,X0)
      | edge(X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f780,plain,
    ( ~ edge(sK8)
    | spl14_93 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f785,plain,
    ( spl14_92
    | ~ spl14_93
    | spl14_94
    | ~ spl14_26 ),
    inference(avatar_split_clause,[],[f772,f308,f782,f778,f774]) ).

fof(f308,plain,
    ( spl14_26
  <=> ! [X0] :
        ( tail_of(X0) != tail_of(sK8)
        | ~ edge(X0)
        | sK7(sK8,sK10) = X0
        | sequential(sK7(sK8,sK10),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_26])]) ).

fof(f772,plain,
    ( sequential(sK7(sK8,sK10),sK8)
    | ~ edge(sK8)
    | sK8 = sK7(sK8,sK10)
    | ~ spl14_26 ),
    inference(equality_resolution,[],[f309]) ).

fof(f309,plain,
    ( ! [X0] :
        ( tail_of(X0) != tail_of(sK8)
        | sequential(sK7(sK8,sK10),X0)
        | ~ edge(X0)
        | sK7(sK8,sK10) = X0 )
    | ~ spl14_26 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f318,plain,
    ( spl14_28
    | ~ spl14_24
    | ~ spl14_7 ),
    inference(avatar_split_clause,[],[f305,f160,f293,f316]) ).

fof(f305,plain,
    ( ! [X2] :
        ( ~ edge(sK7(sK8,sK10))
        | sK7(sK8,sK10) = X2
        | head_of(sK10) != head_of(X2)
        | sequential(X2,sK7(sK8,sK10))
        | ~ edge(X2) )
    | ~ spl14_7 ),
    inference(superposition,[],[f84,f287]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( tail_of(X0) != head_of(X1)
      | ~ edge(X0)
      | X0 = X1
      | ~ edge(X1)
      | sequential(X1,X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f310,plain,
    ( ~ spl14_24
    | spl14_26
    | ~ spl14_3 ),
    inference(avatar_split_clause,[],[f306,f144,f308,f293]) ).

fof(f144,plain,
    ( spl14_3
  <=> ! [X2,X4,X0,X3,X1] :
        ( ~ shortest_path(X0,X4,X3)
        | head_of(sK7(X1,X2)) = tail_of(X1)
        | ~ precedes(X1,X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).

fof(f306,plain,
    ( ! [X0] :
        ( tail_of(X0) != tail_of(sK8)
        | sequential(sK7(sK8,sK10),X0)
        | sK7(sK8,sK10) = X0
        | ~ edge(X0)
        | ~ edge(sK7(sK8,sK10)) )
    | ~ spl14_3 ),
    inference(superposition,[],[f84,f274]) ).

fof(f274,plain,
    ( tail_of(sK8) = head_of(sK7(sK8,sK10))
    | ~ spl14_3 ),
    inference(resolution,[],[f273,f113]) ).

fof(f273,plain,
    ( ! [X0,X1] :
        ( ~ precedes(X0,X1,sK11)
        | tail_of(X0) = head_of(sK7(X0,X1)) )
    | ~ spl14_3 ),
    inference(resolution,[],[f145,f116]) ).

fof(f145,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ shortest_path(X0,X4,X3)
        | ~ precedes(X1,X2,X3)
        | head_of(sK7(X1,X2)) = tail_of(X1) )
    | ~ spl14_3 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f302,plain,
    ( ~ spl14_9
    | spl14_24 ),
    inference(avatar_contradiction_clause,[],[f301]) ).

fof(f301,plain,
    ( $false
    | ~ spl14_9
    | spl14_24 ),
    inference(resolution,[],[f295,f264]) ).

fof(f264,plain,
    ( edge(sK7(sK8,sK10))
    | ~ spl14_9 ),
    inference(resolution,[],[f263,f113]) ).

fof(f263,plain,
    ( ! [X0,X1] :
        ( ~ precedes(X0,X1,sK11)
        | edge(sK7(X0,X1)) )
    | ~ spl14_9 ),
    inference(resolution,[],[f169,f116]) ).

fof(f169,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ shortest_path(X0,X4,X3)
        | edge(sK7(X1,X2))
        | ~ precedes(X1,X2,X3) )
    | ~ spl14_9 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f168,plain,
    ( spl14_9
  <=> ! [X4,X0,X3,X2,X1] :
        ( ~ precedes(X1,X2,X3)
        | edge(sK7(X1,X2))
        | ~ shortest_path(X0,X4,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).

fof(f295,plain,
    ( ~ edge(sK7(sK8,sK10))
    | spl14_24 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f300,plain,
    ( ~ spl14_24
    | ~ spl14_25
    | ~ spl14_3
    | ~ spl14_7 ),
    inference(avatar_split_clause,[],[f291,f160,f144,f297,f293]) ).

fof(f291,plain,
    ( head_of(sK10) != tail_of(sK8)
    | ~ edge(sK7(sK8,sK10))
    | ~ spl14_3
    | ~ spl14_7 ),
    inference(forward_demodulation,[],[f289,f274]) ).

fof(f289,plain,
    ( head_of(sK10) != head_of(sK7(sK8,sK10))
    | ~ edge(sK7(sK8,sK10))
    | ~ spl14_7 ),
    inference(superposition,[],[f126,f287]) ).

fof(f126,plain,
    ! [X0] :
      ( head_of(X0) != tail_of(X0)
      | ~ edge(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0] :
      ( head_of(X0) != tail_of(X0)
      | ~ edge(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( edge(X0)
     => head_of(X0) != tail_of(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_loops) ).

fof(f195,plain,
    spl14_11,
    inference(avatar_contradiction_clause,[],[f194]) ).

fof(f194,plain,
    ( $false
    | spl14_11 ),
    inference(resolution,[],[f183,f175]) ).

fof(f175,plain,
    edge(sK10),
    inference(resolution,[],[f80,f115]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ sequential(X1,X0)
      | edge(X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f183,plain,
    ( ~ edge(sK10)
    | spl14_11 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f193,plain,
    ( ~ spl14_11
    | ~ spl14_13 ),
    inference(avatar_split_clause,[],[f178,f190,f181]) ).

fof(f178,plain,
    ( head_of(sK10) != head_of(sK8)
    | ~ edge(sK10) ),
    inference(superposition,[],[f126,f177]) ).

fof(f170,plain,
    ( spl14_9
    | ~ spl14_1 ),
    inference(avatar_split_clause,[],[f111,f135,f168]) ).

fof(f135,plain,
    ( spl14_1
  <=> complete ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).

fof(f111,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ complete
      | ~ precedes(X1,X2,X3)
      | ~ shortest_path(X0,X4,X3)
      | edge(sK7(X1,X2)) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ( ! [X4,X1,X2,X3,X0] :
        ( ~ shortest_path(X0,X4,X3)
        | ? [X5] :
            ( edge(X5)
            & head_of(X5) = tail_of(X1)
            & head_of(X2) = tail_of(X5) )
        | ~ precedes(X1,X2,X3) )
    | ~ complete ),
    inference(flattening,[],[f56]) ).

fof(f56,plain,
    ( ! [X3,X4,X0,X2,X1] :
        ( ? [X5] :
            ( edge(X5)
            & head_of(X5) = tail_of(X1)
            & head_of(X2) = tail_of(X5) )
        | ~ precedes(X1,X2,X3)
        | ~ shortest_path(X0,X4,X3) )
    | ~ complete ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,plain,
    ( complete
   => ! [X3,X4,X0,X2,X1] :
        ( ( precedes(X1,X2,X3)
          & shortest_path(X0,X4,X3) )
       => ? [X5] :
            ( edge(X5)
            & head_of(X5) = tail_of(X1)
            & head_of(X2) = tail_of(X5) ) ) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ( complete
   => ! [X1,X6,X7,X3,X2] :
        ( ( shortest_path(X1,X2,X3)
          & precedes(X6,X7,X3) )
       => ? [X8] :
            ( tail_of(X6) = head_of(X8)
            & edge(X8)
            & tail_of(X8) = head_of(X7) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',back_edge) ).

fof(f162,plain,
    ( ~ spl14_1
    | spl14_7 ),
    inference(avatar_split_clause,[],[f109,f160,f135]) ).

fof(f109,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ shortest_path(X0,X4,X3)
      | ~ complete
      | ~ precedes(X1,X2,X3)
      | head_of(X2) = tail_of(sK7(X1,X2)) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f146,plain,
    ( ~ spl14_1
    | spl14_3 ),
    inference(avatar_split_clause,[],[f110,f144,f135]) ).

fof(f110,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ shortest_path(X0,X4,X3)
      | ~ complete
      | ~ precedes(X1,X2,X3)
      | head_of(sK7(X1,X2)) = tail_of(X1) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f142,plain,
    spl14_1,
    inference(avatar_split_clause,[],[f117,f135]) ).

fof(f117,plain,
    complete,
    inference(cnf_transformation,[],[f52]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GRA008+2 : TPTP v8.1.0. Bugfixed v3.2.0.
% 0.04/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 22:12:35 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.49  % (19097)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.49  % (19082)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.49  % (19091)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.49  % (19073)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49  % (19071)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49  % (19072)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.49  % (19089)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.49  % (19074)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50  TRYING [1]
% 0.18/0.50  % (19077)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50  % (19075)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50  % (19096)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.50  % (19075)Instruction limit reached!
% 0.18/0.50  % (19075)------------------------------
% 0.18/0.50  % (19075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (19075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (19075)Termination reason: Unknown
% 0.18/0.50  % (19075)Termination phase: Preprocessing 3
% 0.18/0.50  
% 0.18/0.50  % (19075)Memory used [KB]: 895
% 0.18/0.50  % (19075)Time elapsed: 0.002 s
% 0.18/0.50  % (19075)Instructions burned: 2 (million)
% 0.18/0.50  % (19075)------------------------------
% 0.18/0.50  % (19075)------------------------------
% 0.18/0.50  TRYING [2]
% 0.18/0.51  % (19074)Instruction limit reached!
% 0.18/0.51  % (19074)------------------------------
% 0.18/0.51  % (19074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (19074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (19074)Termination reason: Unknown
% 0.18/0.51  % (19074)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (19074)Memory used [KB]: 5628
% 0.18/0.51  % (19074)Time elapsed: 0.070 s
% 0.18/0.51  % (19074)Instructions burned: 7 (million)
% 0.18/0.51  % (19074)------------------------------
% 0.18/0.51  % (19074)------------------------------
% 0.18/0.51  % (19087)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.51  % (19078)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.51  % (19076)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (19079)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.51  % (19080)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52  % (19070)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (19068)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52  % (19069)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.52  % (19067)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.52  % (19095)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.53  TRYING [3]
% 0.18/0.53  % (19092)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.53  % (19081)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.53  % (19088)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.53  % (19090)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.53  % (19084)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53  % (19094)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.54  % (19073)Instruction limit reached!
% 0.18/0.54  % (19073)------------------------------
% 0.18/0.54  % (19073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (19093)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.54  % (19086)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.48/0.54  TRYING [1]
% 1.48/0.54  TRYING [2]
% 1.48/0.54  % (19085)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.48/0.54  TRYING [3]
% 1.48/0.55  % (19068)Refutation not found, incomplete strategy% (19068)------------------------------
% 1.48/0.55  % (19068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.55  % (19068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.55  % (19068)Termination reason: Refutation not found, incomplete strategy
% 1.48/0.55  
% 1.48/0.55  % (19068)Memory used [KB]: 5628
% 1.48/0.55  % (19068)Time elapsed: 0.159 s
% 1.48/0.55  % (19068)Instructions burned: 7 (million)
% 1.48/0.55  % (19068)------------------------------
% 1.48/0.55  % (19068)------------------------------
% 1.48/0.55  % (19073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.55  % (19073)Termination reason: Unknown
% 1.48/0.55  % (19073)Termination phase: Finite model building SAT solving
% 1.48/0.55  
% 1.48/0.55  % (19073)Memory used [KB]: 7675
% 1.48/0.55  % (19073)Time elapsed: 0.148 s
% 1.48/0.55  % (19073)Instructions burned: 53 (million)
% 1.48/0.55  % (19073)------------------------------
% 1.48/0.55  % (19073)------------------------------
% 1.64/0.56  TRYING [1]
% 1.64/0.57  % (19078)First to succeed.
% 1.64/0.57  TRYING [2]
% 1.64/0.57  % (19078)Refutation found. Thanks to Tanya!
% 1.64/0.57  % SZS status Theorem for theBenchmark
% 1.64/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.64/0.57  % (19078)------------------------------
% 1.64/0.57  % (19078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.57  % (19078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.57  % (19078)Termination reason: Refutation
% 1.64/0.57  
% 1.64/0.57  % (19078)Memory used [KB]: 6268
% 1.64/0.57  % (19078)Time elapsed: 0.181 s
% 1.64/0.57  % (19078)Instructions burned: 29 (million)
% 1.64/0.57  % (19078)------------------------------
% 1.64/0.57  % (19078)------------------------------
% 1.64/0.57  % (19063)Success in time 0.223 s
%------------------------------------------------------------------------------