TSTP Solution File: SWC315+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC315+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n029.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 18:40:22 EDT 2022

% Result   : Theorem 2.06s 0.70s
% Output   : Refutation 2.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  118 (   8 unt;   0 def)
%            Number of atoms       :  532 ( 223 equ)
%            Maximal formula atoms :   38 (   4 avg)
%            Number of connectives :  617 ( 203   ~; 192   |; 168   &)
%                                         (  21 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   24 (  22 usr;  20 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :  120 (  56   !;  64   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1762,plain,
    $false,
    inference(avatar_sat_refutation,[],[f600,f605,f619,f628,f633,f642,f649,f654,f661,f666,f671,f682,f683,f724,f909,f1037,f1263,f1373,f1384,f1408,f1597,f1622,f1759]) ).

fof(f1759,plain,
    ( ~ spl55_18
    | spl55_3
    | ~ spl55_107
    | ~ spl55_111 ),
    inference(avatar_split_clause,[],[f1754,f1619,f1594,f602,f679]) ).

fof(f679,plain,
    ( spl55_18
  <=> sK25 = app(sK30,cons(sK29,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_18])]) ).

fof(f602,plain,
    ( spl55_3
  <=> app(sK32,cons(sK31,nil)) = sK25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_3])]) ).

fof(f1594,plain,
    ( spl55_107
  <=> sK29 = sK31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_107])]) ).

fof(f1619,plain,
    ( spl55_111
  <=> sK30 = sK32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_111])]) ).

fof(f1754,plain,
    ( sK25 != app(sK30,cons(sK29,nil))
    | spl55_3
    | ~ spl55_107
    | ~ spl55_111 ),
    inference(backward_demodulation,[],[f1641,f1621]) ).

fof(f1621,plain,
    ( sK30 = sK32
    | ~ spl55_111 ),
    inference(avatar_component_clause,[],[f1619]) ).

fof(f1641,plain,
    ( app(sK32,cons(sK29,nil)) != sK25
    | spl55_3
    | ~ spl55_107 ),
    inference(backward_demodulation,[],[f604,f1596]) ).

fof(f1596,plain,
    ( sK29 = sK31
    | ~ spl55_107 ),
    inference(avatar_component_clause,[],[f1594]) ).

fof(f604,plain,
    ( app(sK32,cons(sK31,nil)) != sK25
    | spl55_3 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f1622,plain,
    ( spl55_111
    | ~ spl55_15
    | ~ spl55_7
    | ~ spl55_69
    | ~ spl55_81 ),
    inference(avatar_split_clause,[],[f1617,f1381,f1256,f621,f663,f1619]) ).

fof(f663,plain,
    ( spl55_15
  <=> ssItem(sK29) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_15])]) ).

fof(f621,plain,
    ( spl55_7
  <=> ssList(sK30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_7])]) ).

fof(f1256,plain,
    ( spl55_69
  <=> cons(sK29,sK30) = sK28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_69])]) ).

fof(f1381,plain,
    ( spl55_81
  <=> tl(sK28) = sK32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_81])]) ).

fof(f1617,plain,
    ( ~ ssList(sK30)
    | ~ ssItem(sK29)
    | sK30 = sK32
    | ~ spl55_69
    | ~ spl55_81 ),
    inference(forward_demodulation,[],[f1582,f1383]) ).

fof(f1383,plain,
    ( tl(sK28) = sK32
    | ~ spl55_81 ),
    inference(avatar_component_clause,[],[f1381]) ).

fof(f1582,plain,
    ( ~ ssItem(sK29)
    | ~ ssList(sK30)
    | sK30 = tl(sK28)
    | ~ spl55_69 ),
    inference(superposition,[],[f476,f1258]) ).

fof(f1258,plain,
    ( cons(sK29,sK30) = sK28
    | ~ spl55_69 ),
    inference(avatar_component_clause,[],[f1256]) ).

fof(f476,plain,
    ! [X0,X1] :
      ( tl(cons(X1,X0)) = X0
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(cons(X1,X0)) = X0
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => tl(cons(X1,X0)) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).

fof(f1597,plain,
    ( ~ spl55_7
    | spl55_107
    | ~ spl55_15
    | ~ spl55_69
    | ~ spl55_86 ),
    inference(avatar_split_clause,[],[f1592,f1405,f1256,f663,f1594,f621]) ).

fof(f1405,plain,
    ( spl55_86
  <=> hd(sK28) = sK31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_86])]) ).

fof(f1592,plain,
    ( ~ ssItem(sK29)
    | sK29 = sK31
    | ~ ssList(sK30)
    | ~ spl55_69
    | ~ spl55_86 ),
    inference(forward_demodulation,[],[f1585,f1407]) ).

fof(f1407,plain,
    ( hd(sK28) = sK31
    | ~ spl55_86 ),
    inference(avatar_component_clause,[],[f1405]) ).

fof(f1585,plain,
    ( ~ ssItem(sK29)
    | ~ ssList(sK30)
    | hd(sK28) = sK29
    | ~ spl55_69 ),
    inference(superposition,[],[f530,f1258]) ).

fof(f530,plain,
    ! [X0,X1] :
      ( hd(cons(X1,X0)) = X1
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f207]) ).

fof(f207,plain,
    ! [X0] :
      ( ! [X1] :
          ( hd(cons(X1,X0)) = X1
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => hd(cons(X1,X0)) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).

fof(f1408,plain,
    ( ~ spl55_6
    | spl55_86
    | ~ spl55_2
    | ~ spl55_49 ),
    inference(avatar_split_clause,[],[f1371,f1031,f597,f1405,f616]) ).

fof(f616,plain,
    ( spl55_6
  <=> ssList(sK32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_6])]) ).

fof(f597,plain,
    ( spl55_2
  <=> ssItem(sK31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_2])]) ).

fof(f1031,plain,
    ( spl55_49
  <=> sK28 = cons(sK31,sK32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_49])]) ).

fof(f1371,plain,
    ( ~ ssItem(sK31)
    | hd(sK28) = sK31
    | ~ ssList(sK32)
    | ~ spl55_49 ),
    inference(superposition,[],[f530,f1033]) ).

fof(f1033,plain,
    ( sK28 = cons(sK31,sK32)
    | ~ spl55_49 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f1384,plain,
    ( spl55_81
    | ~ spl55_6
    | ~ spl55_2
    | ~ spl55_49 ),
    inference(avatar_split_clause,[],[f1368,f1031,f597,f616,f1381]) ).

fof(f1368,plain,
    ( ~ ssItem(sK31)
    | ~ ssList(sK32)
    | tl(sK28) = sK32
    | ~ spl55_49 ),
    inference(superposition,[],[f476,f1033]) ).

fof(f1373,plain,
    ( ~ spl55_1
    | ~ spl55_2
    | ~ spl55_6
    | ~ spl55_49 ),
    inference(avatar_split_clause,[],[f1367,f1031,f616,f597,f593]) ).

fof(f593,plain,
    ( spl55_1
  <=> nil = sK28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_1])]) ).

fof(f1367,plain,
    ( ~ ssList(sK32)
    | ~ ssItem(sK31)
    | nil != sK28
    | ~ spl55_49 ),
    inference(superposition,[],[f471,f1033]) ).

fof(f471,plain,
    ! [X0,X1] :
      ( nil != cons(X1,X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f173,plain,
    ! [X0] :
      ( ! [X1] :
          ( nil != cons(X1,X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => nil != cons(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).

fof(f1263,plain,
    ( ~ spl55_7
    | ~ spl55_15
    | spl55_69
    | ~ spl55_16 ),
    inference(avatar_split_clause,[],[f1249,f668,f1256,f663,f621]) ).

fof(f668,plain,
    ( spl55_16
  <=> sK28 = app(cons(sK29,nil),sK30) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_16])]) ).

fof(f1249,plain,
    ( cons(sK29,sK30) = sK28
    | ~ ssItem(sK29)
    | ~ ssList(sK30)
    | ~ spl55_16 ),
    inference(superposition,[],[f427,f670]) ).

fof(f670,plain,
    ( sK28 = app(cons(sK29,nil),sK30)
    | ~ spl55_16 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f427,plain,
    ! [X0,X1] :
      ( cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( cons(X1,X0) = app(cons(X1,nil),X0)
          | ~ ssItem(X1) ) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).

fof(f1037,plain,
    ( ~ spl55_6
    | ~ spl55_2
    | spl55_49
    | ~ spl55_11 ),
    inference(avatar_split_clause,[],[f1022,f639,f1031,f597,f616]) ).

fof(f639,plain,
    ( spl55_11
  <=> sK28 = app(cons(sK31,nil),sK32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_11])]) ).

fof(f1022,plain,
    ( sK28 = cons(sK31,sK32)
    | ~ ssItem(sK31)
    | ~ ssList(sK32)
    | ~ spl55_11 ),
    inference(superposition,[],[f641,f427]) ).

fof(f641,plain,
    ( sK28 = app(cons(sK31,nil),sK32)
    | ~ spl55_11 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f909,plain,
    spl55_20,
    inference(avatar_split_clause,[],[f441,f696]) ).

fof(f696,plain,
    ( spl55_20
  <=> ssList(sK28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_20])]) ).

fof(f441,plain,
    ssList(sK28),
    inference(cnf_transformation,[],[f289]) ).

fof(f289,plain,
    ( ssList(sK26)
    & sK27 = sK25
    & ( ( ssItem(sK29)
        & ssList(sK30)
        & sK28 = app(cons(sK29,nil),sK30)
        & sK27 = app(sK30,cons(sK29,nil)) )
      | ~ neq(sK28,nil) )
    & ( nil = sK27
      | nil != sK28 )
    & ( ( ssItem(sK31)
        & app(sK32,cons(sK31,nil)) != sK25
        & ssList(sK32)
        & sK26 = app(cons(sK31,nil),sK32) )
      | ( nil = sK26
        & nil != sK25 ) )
    & ssList(sK28)
    & sK26 = sK28
    & ssList(sK27)
    & ssList(sK25) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32])],[f111,f288,f287,f286,f285,f284,f283,f282,f281]) ).

fof(f281,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ? [X3] :
                    ( X0 = X2
                    & ( ? [X4] :
                          ( ssItem(X4)
                          & ? [X5] :
                              ( ssList(X5)
                              & app(cons(X4,nil),X5) = X3
                              & app(X5,cons(X4,nil)) = X2 ) )
                      | ~ neq(X3,nil) )
                    & ( nil = X2
                      | nil != X3 )
                    & ( ? [X6] :
                          ( ssItem(X6)
                          & ? [X7] :
                              ( app(X7,cons(X6,nil)) != X0
                              & ssList(X7)
                              & app(cons(X6,nil),X7) = X1 ) )
                      | ( nil = X1
                        & nil != X0 ) )
                    & ssList(X3)
                    & X1 = X3 )
                & ssList(X2) ) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ? [X3] :
                  ( sK25 = X2
                  & ( ? [X4] :
                        ( ssItem(X4)
                        & ? [X5] :
                            ( ssList(X5)
                            & app(cons(X4,nil),X5) = X3
                            & app(X5,cons(X4,nil)) = X2 ) )
                    | ~ neq(X3,nil) )
                  & ( nil = X2
                    | nil != X3 )
                  & ( ? [X6] :
                        ( ssItem(X6)
                        & ? [X7] :
                            ( app(X7,cons(X6,nil)) != sK25
                            & ssList(X7)
                            & app(cons(X6,nil),X7) = X1 ) )
                    | ( nil = X1
                      & nil != sK25 ) )
                  & ssList(X3)
                  & X1 = X3 )
              & ssList(X2) ) )
      & ssList(sK25) ) ),
    introduced(choice_axiom,[]) ).

fof(f282,plain,
    ( ? [X1] :
        ( ssList(X1)
        & ? [X2] :
            ( ? [X3] :
                ( sK25 = X2
                & ( ? [X4] :
                      ( ssItem(X4)
                      & ? [X5] :
                          ( ssList(X5)
                          & app(cons(X4,nil),X5) = X3
                          & app(X5,cons(X4,nil)) = X2 ) )
                  | ~ neq(X3,nil) )
                & ( nil = X2
                  | nil != X3 )
                & ( ? [X6] :
                      ( ssItem(X6)
                      & ? [X7] :
                          ( app(X7,cons(X6,nil)) != sK25
                          & ssList(X7)
                          & app(cons(X6,nil),X7) = X1 ) )
                  | ( nil = X1
                    & nil != sK25 ) )
                & ssList(X3)
                & X1 = X3 )
            & ssList(X2) ) )
   => ( ssList(sK26)
      & ? [X2] :
          ( ? [X3] :
              ( sK25 = X2
              & ( ? [X4] :
                    ( ssItem(X4)
                    & ? [X5] :
                        ( ssList(X5)
                        & app(cons(X4,nil),X5) = X3
                        & app(X5,cons(X4,nil)) = X2 ) )
                | ~ neq(X3,nil) )
              & ( nil = X2
                | nil != X3 )
              & ( ? [X6] :
                    ( ssItem(X6)
                    & ? [X7] :
                        ( app(X7,cons(X6,nil)) != sK25
                        & ssList(X7)
                        & app(cons(X6,nil),X7) = sK26 ) )
                | ( nil = sK26
                  & nil != sK25 ) )
              & ssList(X3)
              & sK26 = X3 )
          & ssList(X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f283,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( sK25 = X2
            & ( ? [X4] :
                  ( ssItem(X4)
                  & ? [X5] :
                      ( ssList(X5)
                      & app(cons(X4,nil),X5) = X3
                      & app(X5,cons(X4,nil)) = X2 ) )
              | ~ neq(X3,nil) )
            & ( nil = X2
              | nil != X3 )
            & ( ? [X6] :
                  ( ssItem(X6)
                  & ? [X7] :
                      ( app(X7,cons(X6,nil)) != sK25
                      & ssList(X7)
                      & app(cons(X6,nil),X7) = sK26 ) )
              | ( nil = sK26
                & nil != sK25 ) )
            & ssList(X3)
            & sK26 = X3 )
        & ssList(X2) )
   => ( ? [X3] :
          ( sK27 = sK25
          & ( ? [X4] :
                ( ssItem(X4)
                & ? [X5] :
                    ( ssList(X5)
                    & app(cons(X4,nil),X5) = X3
                    & app(X5,cons(X4,nil)) = sK27 ) )
            | ~ neq(X3,nil) )
          & ( nil = sK27
            | nil != X3 )
          & ( ? [X6] :
                ( ssItem(X6)
                & ? [X7] :
                    ( app(X7,cons(X6,nil)) != sK25
                    & ssList(X7)
                    & app(cons(X6,nil),X7) = sK26 ) )
            | ( nil = sK26
              & nil != sK25 ) )
          & ssList(X3)
          & sK26 = X3 )
      & ssList(sK27) ) ),
    introduced(choice_axiom,[]) ).

fof(f284,plain,
    ( ? [X3] :
        ( sK27 = sK25
        & ( ? [X4] :
              ( ssItem(X4)
              & ? [X5] :
                  ( ssList(X5)
                  & app(cons(X4,nil),X5) = X3
                  & app(X5,cons(X4,nil)) = sK27 ) )
          | ~ neq(X3,nil) )
        & ( nil = sK27
          | nil != X3 )
        & ( ? [X6] :
              ( ssItem(X6)
              & ? [X7] :
                  ( app(X7,cons(X6,nil)) != sK25
                  & ssList(X7)
                  & app(cons(X6,nil),X7) = sK26 ) )
          | ( nil = sK26
            & nil != sK25 ) )
        & ssList(X3)
        & sK26 = X3 )
   => ( sK27 = sK25
      & ( ? [X4] :
            ( ssItem(X4)
            & ? [X5] :
                ( ssList(X5)
                & app(cons(X4,nil),X5) = sK28
                & app(X5,cons(X4,nil)) = sK27 ) )
        | ~ neq(sK28,nil) )
      & ( nil = sK27
        | nil != sK28 )
      & ( ? [X6] :
            ( ssItem(X6)
            & ? [X7] :
                ( app(X7,cons(X6,nil)) != sK25
                & ssList(X7)
                & app(cons(X6,nil),X7) = sK26 ) )
        | ( nil = sK26
          & nil != sK25 ) )
      & ssList(sK28)
      & sK26 = sK28 ) ),
    introduced(choice_axiom,[]) ).

fof(f285,plain,
    ( ? [X4] :
        ( ssItem(X4)
        & ? [X5] :
            ( ssList(X5)
            & app(cons(X4,nil),X5) = sK28
            & app(X5,cons(X4,nil)) = sK27 ) )
   => ( ssItem(sK29)
      & ? [X5] :
          ( ssList(X5)
          & sK28 = app(cons(sK29,nil),X5)
          & sK27 = app(X5,cons(sK29,nil)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f286,plain,
    ( ? [X5] :
        ( ssList(X5)
        & sK28 = app(cons(sK29,nil),X5)
        & sK27 = app(X5,cons(sK29,nil)) )
   => ( ssList(sK30)
      & sK28 = app(cons(sK29,nil),sK30)
      & sK27 = app(sK30,cons(sK29,nil)) ) ),
    introduced(choice_axiom,[]) ).

fof(f287,plain,
    ( ? [X6] :
        ( ssItem(X6)
        & ? [X7] :
            ( app(X7,cons(X6,nil)) != sK25
            & ssList(X7)
            & app(cons(X6,nil),X7) = sK26 ) )
   => ( ssItem(sK31)
      & ? [X7] :
          ( app(X7,cons(sK31,nil)) != sK25
          & ssList(X7)
          & app(cons(sK31,nil),X7) = sK26 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f288,plain,
    ( ? [X7] :
        ( app(X7,cons(sK31,nil)) != sK25
        & ssList(X7)
        & app(cons(sK31,nil),X7) = sK26 )
   => ( app(sK32,cons(sK31,nil)) != sK25
      & ssList(sK32)
      & sK26 = app(cons(sK31,nil),sK32) ) ),
    introduced(choice_axiom,[]) ).

fof(f111,plain,
    ? [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ? [X3] :
                  ( X0 = X2
                  & ( ? [X4] :
                        ( ssItem(X4)
                        & ? [X5] :
                            ( ssList(X5)
                            & app(cons(X4,nil),X5) = X3
                            & app(X5,cons(X4,nil)) = X2 ) )
                    | ~ neq(X3,nil) )
                  & ( nil = X2
                    | nil != X3 )
                  & ( ? [X6] :
                        ( ssItem(X6)
                        & ? [X7] :
                            ( app(X7,cons(X6,nil)) != X0
                            & ssList(X7)
                            & app(cons(X6,nil),X7) = X1 ) )
                    | ( nil = X1
                      & nil != X0 ) )
                  & ssList(X3)
                  & X1 = X3 )
              & ssList(X2) ) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ( neq(X3,nil)
                      & ! [X4] :
                          ( ssItem(X4)
                         => ! [X5] :
                              ( ~ ssList(X5)
                              | app(cons(X4,nil),X5) != X3
                              | app(X5,cons(X4,nil)) != X2 ) ) )
                    | X1 != X3
                    | ( nil = X3
                      & nil != X2 )
                    | ~ ssList(X3)
                    | X0 != X2
                    | ( ! [X6] :
                          ( ssItem(X6)
                         => ! [X7] :
                              ( app(X7,cons(X6,nil)) = X0
                              | app(cons(X6,nil),X7) != X1
                              | ~ ssList(X7) ) )
                      & ( nil != X1
                        | nil = X0 ) ) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( X0 != X2
                    | ( neq(X3,nil)
                      & ! [X6] :
                          ( ssItem(X6)
                         => ! [X7] :
                              ( app(cons(X6,nil),X7) != X3
                              | ~ ssList(X7)
                              | app(X7,cons(X6,nil)) != X2 ) ) )
                    | X1 != X3
                    | ( ! [X4] :
                          ( ssItem(X4)
                         => ! [X5] :
                              ( app(X5,cons(X4,nil)) = X0
                              | app(cons(X4,nil),X5) != X1
                              | ~ ssList(X5) ) )
                      & ( nil != X1
                        | nil = X0 ) )
                    | ( nil = X3
                      & nil != X2 )
                    | ~ ssList(X3) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( X0 != X2
                  | ( neq(X3,nil)
                    & ! [X6] :
                        ( ssItem(X6)
                       => ! [X7] :
                            ( app(cons(X6,nil),X7) != X3
                            | ~ ssList(X7)
                            | app(X7,cons(X6,nil)) != X2 ) ) )
                  | X1 != X3
                  | ( ! [X4] :
                        ( ssItem(X4)
                       => ! [X5] :
                            ( app(X5,cons(X4,nil)) = X0
                            | app(cons(X4,nil),X5) != X1
                            | ~ ssList(X5) ) )
                    & ( nil != X1
                      | nil = X0 ) )
                  | ( nil = X3
                    & nil != X2 )
                  | ~ ssList(X3) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f724,plain,
    ( spl55_1
    | ~ spl55_4
    | ~ spl55_20
    | spl55_8 ),
    inference(avatar_split_clause,[],[f719,f625,f696,f607,f593]) ).

fof(f607,plain,
    ( spl55_4
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_4])]) ).

fof(f625,plain,
    ( spl55_8
  <=> neq(sK28,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_8])]) ).

fof(f719,plain,
    ( ~ ssList(sK28)
    | ~ ssList(nil)
    | nil = sK28
    | spl55_8 ),
    inference(resolution,[],[f356,f627]) ).

fof(f627,plain,
    ( ~ neq(sK28,nil)
    | spl55_8 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f356,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f233]) ).

fof(f233,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( ( X0 != X1
              | ~ neq(X0,X1) )
            & ( neq(X0,X1)
              | X0 = X1 ) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f147]) ).

fof(f147,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssList(X1)
          | ( X0 != X1
          <=> neq(X0,X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( X0 != X1
          <=> neq(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f683,plain,
    ( spl55_11
    | spl55_1 ),
    inference(avatar_split_clause,[],[f555,f593,f639]) ).

fof(f555,plain,
    ( nil = sK28
    | sK28 = app(cons(sK31,nil),sK32) ),
    inference(definition_unfolding,[],[f443,f440,f440]) ).

fof(f440,plain,
    sK26 = sK28,
    inference(cnf_transformation,[],[f289]) ).

fof(f443,plain,
    ( sK26 = app(cons(sK31,nil),sK32)
    | nil = sK26 ),
    inference(cnf_transformation,[],[f289]) ).

fof(f682,plain,
    ( ~ spl55_8
    | spl55_18 ),
    inference(avatar_split_clause,[],[f550,f679,f625]) ).

fof(f550,plain,
    ( sK25 = app(sK30,cons(sK29,nil))
    | ~ neq(sK28,nil) ),
    inference(definition_unfolding,[],[f451,f455]) ).

fof(f455,plain,
    sK27 = sK25,
    inference(cnf_transformation,[],[f289]) ).

fof(f451,plain,
    ( sK27 = app(sK30,cons(sK29,nil))
    | ~ neq(sK28,nil) ),
    inference(cnf_transformation,[],[f289]) ).

fof(f671,plain,
    ( ~ spl55_8
    | spl55_16 ),
    inference(avatar_split_clause,[],[f452,f668,f625]) ).

fof(f452,plain,
    ( sK28 = app(cons(sK29,nil),sK30)
    | ~ neq(sK28,nil) ),
    inference(cnf_transformation,[],[f289]) ).

fof(f666,plain,
    ( spl55_15
    | ~ spl55_8 ),
    inference(avatar_split_clause,[],[f454,f625,f663]) ).

fof(f454,plain,
    ( ~ neq(sK28,nil)
    | ssItem(sK29) ),
    inference(cnf_transformation,[],[f289]) ).

fof(f661,plain,
    ( ~ spl55_9
    | spl55_2 ),
    inference(avatar_split_clause,[],[f448,f597,f630]) ).

fof(f630,plain,
    ( spl55_9
  <=> nil = sK25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl55_9])]) ).

fof(f448,plain,
    ( ssItem(sK31)
    | nil != sK25 ),
    inference(cnf_transformation,[],[f289]) ).

fof(f654,plain,
    spl55_4,
    inference(avatar_split_clause,[],[f380,f607]) ).

fof(f380,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f649,plain,
    ( spl55_6
    | ~ spl55_9 ),
    inference(avatar_split_clause,[],[f444,f630,f616]) ).

fof(f444,plain,
    ( nil != sK25
    | ssList(sK32) ),
    inference(cnf_transformation,[],[f289]) ).

fof(f642,plain,
    ( ~ spl55_9
    | spl55_11 ),
    inference(avatar_split_clause,[],[f556,f639,f630]) ).

fof(f556,plain,
    ( sK28 = app(cons(sK31,nil),sK32)
    | nil != sK25 ),
    inference(definition_unfolding,[],[f442,f440]) ).

fof(f442,plain,
    ( sK26 = app(cons(sK31,nil),sK32)
    | nil != sK25 ),
    inference(cnf_transformation,[],[f289]) ).

fof(f633,plain,
    ( ~ spl55_1
    | spl55_9 ),
    inference(avatar_split_clause,[],[f551,f630,f593]) ).

fof(f551,plain,
    ( nil = sK25
    | nil != sK28 ),
    inference(definition_unfolding,[],[f450,f455]) ).

fof(f450,plain,
    ( nil = sK27
    | nil != sK28 ),
    inference(cnf_transformation,[],[f289]) ).

fof(f628,plain,
    ( spl55_7
    | ~ spl55_8 ),
    inference(avatar_split_clause,[],[f453,f625,f621]) ).

fof(f453,plain,
    ( ~ neq(sK28,nil)
    | ssList(sK30) ),
    inference(cnf_transformation,[],[f289]) ).

fof(f619,plain,
    ( spl55_6
    | spl55_1 ),
    inference(avatar_split_clause,[],[f554,f593,f616]) ).

fof(f554,plain,
    ( nil = sK28
    | ssList(sK32) ),
    inference(definition_unfolding,[],[f445,f440]) ).

fof(f445,plain,
    ( ssList(sK32)
    | nil = sK26 ),
    inference(cnf_transformation,[],[f289]) ).

fof(f605,plain,
    ( spl55_1
    | ~ spl55_3 ),
    inference(avatar_split_clause,[],[f553,f602,f593]) ).

fof(f553,plain,
    ( app(sK32,cons(sK31,nil)) != sK25
    | nil = sK28 ),
    inference(definition_unfolding,[],[f447,f440]) ).

fof(f447,plain,
    ( app(sK32,cons(sK31,nil)) != sK25
    | nil = sK26 ),
    inference(cnf_transformation,[],[f289]) ).

fof(f600,plain,
    ( spl55_1
    | spl55_2 ),
    inference(avatar_split_clause,[],[f552,f597,f593]) ).

fof(f552,plain,
    ( ssItem(sK31)
    | nil = sK28 ),
    inference(definition_unfolding,[],[f449,f440]) ).

fof(f449,plain,
    ( ssItem(sK31)
    | nil = sK26 ),
    inference(cnf_transformation,[],[f289]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWC315+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 30 18:55:42 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.11/0.34  ipcrm: permission denied for id (340885504)
% 0.11/0.34  ipcrm: permission denied for id (340918278)
% 0.11/0.35  ipcrm: permission denied for id (340951049)
% 0.11/0.36  ipcrm: permission denied for id (341049374)
% 0.17/0.41  ipcrm: permission denied for id (341213280)
% 0.17/0.41  ipcrm: permission denied for id (341246049)
% 0.88/0.61  % (29786)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/82Mi)
% 0.88/0.61  % (29778)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.88/0.61  % (29778)Instruction limit reached!
% 0.88/0.61  % (29778)------------------------------
% 0.88/0.61  % (29778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.88/0.61  % (29778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.88/0.61  % (29778)Termination reason: Unknown
% 0.88/0.61  % (29778)Termination phase: Naming
% 0.88/0.61  
% 0.88/0.61  % (29778)Memory used [KB]: 1535
% 0.88/0.61  % (29778)Time elapsed: 0.005 s
% 0.88/0.61  % (29778)Instructions burned: 3 (million)
% 0.88/0.61  % (29778)------------------------------
% 0.88/0.61  % (29778)------------------------------
% 0.88/0.61  % (29779)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.88/0.62  % (29770)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.88/0.62  % (29779)Instruction limit reached!
% 0.88/0.62  % (29779)------------------------------
% 0.88/0.62  % (29779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.88/0.63  % (29788)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.88/0.63  % (29771)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.88/0.63  % (29766)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.88/0.63  % (29779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.88/0.63  % (29779)Termination reason: Unknown
% 0.88/0.63  % (29779)Termination phase: Property scanning
% 0.88/0.63  
% 0.88/0.63  % (29779)Memory used [KB]: 1791
% 0.88/0.63  % (29779)Time elapsed: 0.006 s
% 0.88/0.63  % (29779)Instructions burned: 7 (million)
% 0.88/0.63  % (29779)------------------------------
% 0.88/0.63  % (29779)------------------------------
% 0.88/0.63  % (29777)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.88/0.63  % (29766)Instruction limit reached!
% 0.88/0.63  % (29766)------------------------------
% 0.88/0.63  % (29766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.88/0.63  % (29766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.88/0.63  % (29766)Termination reason: Unknown
% 0.88/0.63  % (29766)Termination phase: Naming
% 0.88/0.63  
% 0.88/0.63  % (29766)Memory used [KB]: 1535
% 0.88/0.63  % (29766)Time elapsed: 0.003 s
% 0.88/0.63  % (29766)Instructions burned: 3 (million)
% 0.88/0.63  % (29766)------------------------------
% 0.88/0.63  % (29766)------------------------------
% 0.88/0.64  % (29764)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99978Mi)
% 0.88/0.64  % (29767)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.88/0.64  % (29780)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.88/0.64  % (29781)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.67/0.64  % (29769)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 1.67/0.65  % (29776)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/16Mi)
% 1.67/0.65  % (29765)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/13Mi)
% 1.67/0.65  % (29768)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/13Mi)
% 1.67/0.65  % (29775)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.67/0.66  % (29774)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/12Mi)
% 1.67/0.66  % (29773)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/33Mi)
% 1.67/0.66  % (29781)Instruction limit reached!
% 1.67/0.66  % (29781)------------------------------
% 1.67/0.66  % (29781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.66  % (29787)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/45Mi)
% 1.67/0.66  % (29772)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/49Mi)
% 1.67/0.66  % (29781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.66  % (29781)Termination reason: Unknown
% 1.67/0.66  % (29781)Termination phase: Preprocessing 3
% 1.67/0.66  
% 1.67/0.66  % (29781)Memory used [KB]: 1663
% 1.67/0.66  % (29781)Time elapsed: 0.005 s
% 1.67/0.66  % (29781)Instructions burned: 4 (million)
% 1.67/0.66  % (29781)------------------------------
% 1.67/0.66  % (29781)------------------------------
% 1.67/0.66  % (29782)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.67/0.66  % (29782)Instruction limit reached!
% 1.67/0.66  % (29782)------------------------------
% 1.67/0.66  % (29782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.66  % (29782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.66  % (29782)Termination reason: Unknown
% 1.67/0.66  % (29782)Termination phase: Preprocessing 2
% 1.67/0.66  
% 1.67/0.66  % (29782)Memory used [KB]: 1535
% 1.67/0.66  % (29782)Time elapsed: 0.003 s
% 1.67/0.66  % (29782)Instructions burned: 2 (million)
% 1.67/0.66  % (29782)------------------------------
% 1.67/0.66  % (29782)------------------------------
% 1.67/0.66  % (29769)Instruction limit reached!
% 1.67/0.66  % (29769)------------------------------
% 1.67/0.66  % (29769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.67  % (29783)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/11Mi)
% 1.67/0.67  % (29790)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.67/0.67  % (29785)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=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.67/0.67  % (29771)Refutation not found, non-redundant clauses discarded% (29771)------------------------------
% 1.67/0.67  % (29771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.67  % (29783)Refutation not found, incomplete strategy% (29783)------------------------------
% 1.67/0.67  % (29783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.67  % (29783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.67  % (29783)Termination reason: Refutation not found, incomplete strategy
% 1.67/0.67  
% 1.67/0.67  % (29783)Memory used [KB]: 6140
% 1.67/0.67  % (29783)Time elapsed: 0.169 s
% 1.67/0.67  % (29783)Instructions burned: 4 (million)
% 1.67/0.67  % (29783)------------------------------
% 1.67/0.67  % (29783)------------------------------
% 1.67/0.67  % (29786)First to succeed.
% 1.67/0.67  % (29791)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/25Mi)
% 1.67/0.67  % (29776)Instruction limit reached!
% 1.67/0.67  % (29776)------------------------------
% 1.67/0.67  % (29776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.67  % (29776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.67  % (29776)Termination reason: Unknown
% 1.67/0.67  % (29776)Termination phase: Saturation
% 1.67/0.67  
% 1.67/0.67  % (29776)Memory used [KB]: 2046
% 1.67/0.67  % (29776)Time elapsed: 0.170 s
% 1.67/0.67  % (29776)Instructions burned: 16 (million)
% 1.67/0.67  % (29776)------------------------------
% 1.67/0.67  % (29776)------------------------------
% 1.67/0.67  % (29765)Instruction limit reached!
% 1.67/0.67  % (29765)------------------------------
% 1.67/0.67  % (29765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.67  % (29765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.67  % (29765)Termination reason: Unknown
% 1.67/0.67  % (29765)Termination phase: Saturation
% 1.67/0.67  
% 1.67/0.67  % (29765)Memory used [KB]: 6396
% 1.67/0.67  % (29765)Time elapsed: 0.169 s
% 1.67/0.67  % (29765)Instructions burned: 13 (million)
% 1.67/0.67  % (29765)------------------------------
% 1.67/0.67  % (29765)------------------------------
% 1.67/0.67  % (29789)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/95Mi)
% 1.67/0.68  % (29774)Refutation not found, incomplete strategy% (29774)------------------------------
% 1.67/0.68  % (29774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.68  % (29775)Instruction limit reached!
% 1.67/0.68  % (29775)------------------------------
% 1.67/0.68  % (29775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.68  % (29775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.68  % (29775)Termination reason: Unknown
% 1.67/0.68  % (29775)Termination phase: Saturation
% 1.67/0.68  
% 1.67/0.68  % (29775)Memory used [KB]: 6140
% 1.67/0.68  % (29775)Time elapsed: 0.181 s
% 1.67/0.68  % (29775)Instructions burned: 7 (million)
% 1.67/0.68  % (29775)------------------------------
% 1.67/0.68  % (29775)------------------------------
% 1.67/0.68  % (29792)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/8Mi)
% 1.67/0.68  % (29774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.68  % (29774)Termination reason: Refutation not found, incomplete strategy
% 1.67/0.68  
% 1.67/0.68  % (29774)Memory used [KB]: 6140
% 1.67/0.68  % (29774)Time elapsed: 0.182 s
% 1.67/0.68  % (29774)Instructions burned: 5 (million)
% 1.67/0.68  % (29774)------------------------------
% 1.67/0.68  % (29774)------------------------------
% 1.67/0.69  % (29769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.69  % (29769)Termination reason: Unknown
% 1.67/0.69  % (29769)Termination phase: Saturation
% 1.67/0.69  
% 1.67/0.69  % (29769)Memory used [KB]: 1663
% 1.67/0.69  % (29769)Time elapsed: 0.165 s
% 1.67/0.69  % (29769)Instructions burned: 15 (million)
% 1.67/0.69  % (29769)------------------------------
% 1.67/0.69  % (29769)------------------------------
% 1.67/0.69  % (29793)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/24Mi)
% 1.67/0.69  % (29784)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 2.06/0.69  % (29771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.69  % (29771)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.06/0.69  
% 2.06/0.69  % (29771)Memory used [KB]: 6524
% 2.06/0.69  % (29771)Time elapsed: 0.159 s
% 2.06/0.69  % (29771)Instructions burned: 32 (million)
% 2.06/0.69  % (29771)------------------------------
% 2.06/0.69  % (29771)------------------------------
% 2.06/0.70  % (29786)Refutation found. Thanks to Tanya!
% 2.06/0.70  % SZS status Theorem for theBenchmark
% 2.06/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 2.06/0.70  % (29786)------------------------------
% 2.06/0.70  % (29786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.70  % (29786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.70  % (29786)Termination reason: Refutation
% 2.06/0.70  
% 2.06/0.70  % (29786)Memory used [KB]: 7036
% 2.06/0.70  % (29786)Time elapsed: 0.110 s
% 2.06/0.70  % (29786)Instructions burned: 31 (million)
% 2.06/0.70  % (29786)------------------------------
% 2.06/0.70  % (29786)------------------------------
% 2.06/0.70  % (29630)Success in time 0.358 s
%------------------------------------------------------------------------------