TSTP Solution File: SWC104+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC104+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_sat --cores 0 -t %d %s

% Computer : n021.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 18:41:46 EDT 2022

% Result   : Theorem 0.18s 0.57s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   64 (  12 unt;   0 def)
%            Number of atoms       :  430 ( 126 equ)
%            Maximal formula atoms :   42 (   6 avg)
%            Number of connectives :  569 ( 203   ~; 182   |; 153   &)
%                                         (   9 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   6 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :  146 (  98   !;  48   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f655,plain,
    $false,
    inference(avatar_sat_refutation,[],[f609,f626,f634,f640,f642,f654]) ).

fof(f654,plain,
    ( spl58_2
    | ~ spl58_5
    | ~ spl58_6 ),
    inference(avatar_contradiction_clause,[],[f653]) ).

fof(f653,plain,
    ( $false
    | spl58_2
    | ~ spl58_5
    | ~ spl58_6 ),
    inference(subsumption_resolution,[],[f650,f646]) ).

fof(f646,plain,
    ( neq(nil,nil)
    | ~ spl58_6 ),
    inference(backward_demodulation,[],[f526,f625]) ).

fof(f625,plain,
    ( nil = sK45
    | ~ spl58_6 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f623,plain,
    ( spl58_6
  <=> nil = sK45 ),
    introduced(avatar_definition,[new_symbols(naming,[spl58_6])]) ).

fof(f526,plain,
    neq(sK45,nil),
    inference(cnf_transformation,[],[f331]) ).

fof(f331,plain,
    ( ssList(sK44)
    & ssList(sK46)
    & ssList(sK48)
    & ! [X5] :
        ( ~ ssItem(X5)
        | ! [X6] :
            ( app(cons(X5,nil),X6) != sK48
            | ! [X7] :
                ( ! [X8] :
                    ( app(X8,cons(X7,nil)) != sK46
                    | ~ leq(X7,X5)
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | ~ ssList(X6) ) )
    & totalorderedP(sK46)
    & app(sK46,sK48) = sK47
    & sK47 = sK45
    & neq(sK45,nil)
    & ssList(sK47)
    & ( nil != sK46
      | nil = sK47 )
    & sK46 = sK44
    & ( ~ frontsegP(sK45,sK44)
      | ~ neq(sK44,nil) )
    & ssList(sK45) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK44,sK45,sK46,sK47,sK48])],[f164,f330,f329,f328,f327,f326]) ).

fof(f326,plain,
    ( ? [X0] :
        ( ssList(X0)
        & ? [X1] :
            ( ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ? [X4] :
                        ( ssList(X4)
                        & ! [X5] :
                            ( ~ ssItem(X5)
                            | ! [X6] :
                                ( app(cons(X5,nil),X6) != X4
                                | ! [X7] :
                                    ( ! [X8] :
                                        ( app(X8,cons(X7,nil)) != X2
                                        | ~ leq(X7,X5)
                                        | ~ ssList(X8) )
                                    | ~ ssItem(X7) )
                                | ~ ssList(X6) ) )
                        & totalorderedP(X2)
                        & app(X2,X4) = X3 )
                    & X1 = X3
                    & neq(X1,nil)
                    & ssList(X3)
                    & ( nil != X2
                      | nil = X3 )
                    & X0 = X2
                    & ( ~ frontsegP(X1,X0)
                      | ~ neq(X0,nil) ) ) )
            & ssList(X1) ) )
   => ( ssList(sK44)
      & ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ? [X4] :
                      ( ssList(X4)
                      & ! [X5] :
                          ( ~ ssItem(X5)
                          | ! [X6] :
                              ( app(cons(X5,nil),X6) != X4
                              | ! [X7] :
                                  ( ! [X8] :
                                      ( app(X8,cons(X7,nil)) != X2
                                      | ~ leq(X7,X5)
                                      | ~ ssList(X8) )
                                  | ~ ssItem(X7) )
                              | ~ ssList(X6) ) )
                      & totalorderedP(X2)
                      & app(X2,X4) = X3 )
                  & X1 = X3
                  & neq(X1,nil)
                  & ssList(X3)
                  & ( nil != X2
                    | nil = X3 )
                  & sK44 = X2
                  & ( ~ frontsegP(X1,sK44)
                    | ~ neq(sK44,nil) ) ) )
          & ssList(X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f327,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( ? [X4] :
                    ( ssList(X4)
                    & ! [X5] :
                        ( ~ ssItem(X5)
                        | ! [X6] :
                            ( app(cons(X5,nil),X6) != X4
                            | ! [X7] :
                                ( ! [X8] :
                                    ( app(X8,cons(X7,nil)) != X2
                                    | ~ leq(X7,X5)
                                    | ~ ssList(X8) )
                                | ~ ssItem(X7) )
                            | ~ ssList(X6) ) )
                    & totalorderedP(X2)
                    & app(X2,X4) = X3 )
                & X1 = X3
                & neq(X1,nil)
                & ssList(X3)
                & ( nil != X2
                  | nil = X3 )
                & sK44 = X2
                & ( ~ frontsegP(X1,sK44)
                  | ~ neq(sK44,nil) ) ) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( ? [X4] :
                  ( ssList(X4)
                  & ! [X5] :
                      ( ~ ssItem(X5)
                      | ! [X6] :
                          ( app(cons(X5,nil),X6) != X4
                          | ! [X7] :
                              ( ! [X8] :
                                  ( app(X8,cons(X7,nil)) != X2
                                  | ~ leq(X7,X5)
                                  | ~ ssList(X8) )
                              | ~ ssItem(X7) )
                          | ~ ssList(X6) ) )
                  & totalorderedP(X2)
                  & app(X2,X4) = X3 )
              & sK45 = X3
              & neq(sK45,nil)
              & ssList(X3)
              & ( nil != X2
                | nil = X3 )
              & sK44 = X2
              & ( ~ frontsegP(sK45,sK44)
                | ~ neq(sK44,nil) ) ) )
      & ssList(sK45) ) ),
    introduced(choice_axiom,[]) ).

fof(f328,plain,
    ( ? [X2] :
        ( ssList(X2)
        & ? [X3] :
            ( ? [X4] :
                ( ssList(X4)
                & ! [X5] :
                    ( ~ ssItem(X5)
                    | ! [X6] :
                        ( app(cons(X5,nil),X6) != X4
                        | ! [X7] :
                            ( ! [X8] :
                                ( app(X8,cons(X7,nil)) != X2
                                | ~ leq(X7,X5)
                                | ~ ssList(X8) )
                            | ~ ssItem(X7) )
                        | ~ ssList(X6) ) )
                & totalorderedP(X2)
                & app(X2,X4) = X3 )
            & sK45 = X3
            & neq(sK45,nil)
            & ssList(X3)
            & ( nil != X2
              | nil = X3 )
            & sK44 = X2
            & ( ~ frontsegP(sK45,sK44)
              | ~ neq(sK44,nil) ) ) )
   => ( ssList(sK46)
      & ? [X3] :
          ( ? [X4] :
              ( ssList(X4)
              & ! [X5] :
                  ( ~ ssItem(X5)
                  | ! [X6] :
                      ( app(cons(X5,nil),X6) != X4
                      | ! [X7] :
                          ( ! [X8] :
                              ( app(X8,cons(X7,nil)) != sK46
                              | ~ leq(X7,X5)
                              | ~ ssList(X8) )
                          | ~ ssItem(X7) )
                      | ~ ssList(X6) ) )
              & totalorderedP(sK46)
              & app(sK46,X4) = X3 )
          & sK45 = X3
          & neq(sK45,nil)
          & ssList(X3)
          & ( nil != sK46
            | nil = X3 )
          & sK46 = sK44
          & ( ~ frontsegP(sK45,sK44)
            | ~ neq(sK44,nil) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f329,plain,
    ( ? [X3] :
        ( ? [X4] :
            ( ssList(X4)
            & ! [X5] :
                ( ~ ssItem(X5)
                | ! [X6] :
                    ( app(cons(X5,nil),X6) != X4
                    | ! [X7] :
                        ( ! [X8] :
                            ( app(X8,cons(X7,nil)) != sK46
                            | ~ leq(X7,X5)
                            | ~ ssList(X8) )
                        | ~ ssItem(X7) )
                    | ~ ssList(X6) ) )
            & totalorderedP(sK46)
            & app(sK46,X4) = X3 )
        & sK45 = X3
        & neq(sK45,nil)
        & ssList(X3)
        & ( nil != sK46
          | nil = X3 )
        & sK46 = sK44
        & ( ~ frontsegP(sK45,sK44)
          | ~ neq(sK44,nil) ) )
   => ( ? [X4] :
          ( ssList(X4)
          & ! [X5] :
              ( ~ ssItem(X5)
              | ! [X6] :
                  ( app(cons(X5,nil),X6) != X4
                  | ! [X7] :
                      ( ! [X8] :
                          ( app(X8,cons(X7,nil)) != sK46
                          | ~ leq(X7,X5)
                          | ~ ssList(X8) )
                      | ~ ssItem(X7) )
                  | ~ ssList(X6) ) )
          & totalorderedP(sK46)
          & sK47 = app(sK46,X4) )
      & sK47 = sK45
      & neq(sK45,nil)
      & ssList(sK47)
      & ( nil != sK46
        | nil = sK47 )
      & sK46 = sK44
      & ( ~ frontsegP(sK45,sK44)
        | ~ neq(sK44,nil) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f330,plain,
    ( ? [X4] :
        ( ssList(X4)
        & ! [X5] :
            ( ~ ssItem(X5)
            | ! [X6] :
                ( app(cons(X5,nil),X6) != X4
                | ! [X7] :
                    ( ! [X8] :
                        ( app(X8,cons(X7,nil)) != sK46
                        | ~ leq(X7,X5)
                        | ~ ssList(X8) )
                    | ~ ssItem(X7) )
                | ~ ssList(X6) ) )
        & totalorderedP(sK46)
        & sK47 = app(sK46,X4) )
   => ( ssList(sK48)
      & ! [X5] :
          ( ~ ssItem(X5)
          | ! [X6] :
              ( app(cons(X5,nil),X6) != sK48
              | ! [X7] :
                  ( ! [X8] :
                      ( app(X8,cons(X7,nil)) != sK46
                      | ~ leq(X7,X5)
                      | ~ ssList(X8) )
                  | ~ ssItem(X7) )
              | ~ ssList(X6) ) )
      & totalorderedP(sK46)
      & app(sK46,sK48) = sK47 ) ),
    introduced(choice_axiom,[]) ).

fof(f164,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ? [X4] :
                      ( ssList(X4)
                      & ! [X5] :
                          ( ~ ssItem(X5)
                          | ! [X6] :
                              ( app(cons(X5,nil),X6) != X4
                              | ! [X7] :
                                  ( ! [X8] :
                                      ( app(X8,cons(X7,nil)) != X2
                                      | ~ leq(X7,X5)
                                      | ~ ssList(X8) )
                                  | ~ ssItem(X7) )
                              | ~ ssList(X6) ) )
                      & totalorderedP(X2)
                      & app(X2,X4) = X3 )
                  & X1 = X3
                  & neq(X1,nil)
                  & ssList(X3)
                  & ( nil != X2
                    | nil = X3 )
                  & X0 = X2
                  & ( ~ frontsegP(X1,X0)
                    | ~ neq(X0,nil) ) ) )
          & ssList(X1) ) ),
    inference(flattening,[],[f163]) ).

fof(f163,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( app(X2,X4) = X3
                      & totalorderedP(X2)
                      & ! [X5] :
                          ( ~ ssItem(X5)
                          | ! [X6] :
                              ( app(cons(X5,nil),X6) != X4
                              | ! [X7] :
                                  ( ! [X8] :
                                      ( app(X8,cons(X7,nil)) != X2
                                      | ~ leq(X7,X5)
                                      | ~ ssList(X8) )
                                  | ~ ssItem(X7) )
                              | ~ ssList(X6) ) )
                      & ssList(X4) )
                  & X1 = X3
                  & X0 = X2
                  & ( nil != X2
                    | nil = X3 )
                  & ( ~ frontsegP(X1,X0)
                    | ~ neq(X0,nil) )
                  & neq(X1,nil)
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ! [X4] :
                          ( ssList(X4)
                         => ( app(X2,X4) != X3
                            | ~ totalorderedP(X2)
                            | ? [X5] :
                                ( ? [X6] :
                                    ( app(cons(X5,nil),X6) = X4
                                    & ssList(X6)
                                    & ? [X7] :
                                        ( ? [X8] :
                                            ( app(X8,cons(X7,nil)) = X2
                                            & leq(X7,X5)
                                            & ssList(X8) )
                                        & ssItem(X7) ) )
                                & ssItem(X5) ) ) )
                      | X1 != X3
                      | X0 != X2
                      | ( nil = X2
                        & nil != X3 )
                      | ( neq(X0,nil)
                        & frontsegP(X1,X0) )
                      | ~ neq(X1,nil) ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ! [X4] :
                        ( ssList(X4)
                       => ( app(X2,X4) != X3
                          | ~ totalorderedP(X2)
                          | ? [X5] :
                              ( ? [X6] :
                                  ( app(cons(X5,nil),X6) = X4
                                  & ssList(X6)
                                  & ? [X7] :
                                      ( ? [X8] :
                                          ( app(X8,cons(X7,nil)) = X2
                                          & leq(X7,X5)
                                          & ssList(X8) )
                                      & ssItem(X7) ) )
                              & ssItem(X5) ) ) )
                    | X1 != X3
                    | X0 != X2
                    | ( nil = X2
                      & nil != X3 )
                    | ( neq(X0,nil)
                      & frontsegP(X1,X0) )
                    | ~ neq(X1,nil) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f650,plain,
    ( ~ neq(nil,nil)
    | spl58_2
    | ~ spl58_5 ),
    inference(backward_demodulation,[],[f608,f620]) ).

fof(f620,plain,
    ( nil = sK44
    | ~ spl58_5 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f619,plain,
    ( spl58_5
  <=> nil = sK44 ),
    introduced(avatar_definition,[new_symbols(naming,[spl58_5])]) ).

fof(f608,plain,
    ( ~ neq(sK44,nil)
    | spl58_2 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f606,plain,
    ( spl58_2
  <=> neq(sK44,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl58_2])]) ).

fof(f642,plain,
    ( spl58_2
    | ~ spl58_3
    | spl58_5 ),
    inference(avatar_contradiction_clause,[],[f641]) ).

fof(f641,plain,
    ( $false
    | spl58_2
    | ~ spl58_3
    | spl58_5 ),
    inference(unit_resulting_resolution,[],[f612,f533,f621,f608,f502]) ).

fof(f502,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f313]) ).

fof(f313,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( X0 != X1
              | ~ neq(X0,X1) )
            & ( neq(X0,X1)
              | X0 = X1 ) ) ) ),
    inference(nnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( X0 != X1
          <=> neq(X0,X1) ) ) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( X0 != X1
          <=> neq(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

fof(f621,plain,
    ( nil != sK44
    | spl58_5 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f533,plain,
    ssList(sK44),
    inference(cnf_transformation,[],[f331]) ).

fof(f612,plain,
    ( ssList(nil)
    | ~ spl58_3 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f611,plain,
    ( spl58_3
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl58_3])]) ).

fof(f640,plain,
    spl58_1,
    inference(avatar_contradiction_clause,[],[f639]) ).

fof(f639,plain,
    ( $false
    | spl58_1 ),
    inference(subsumption_resolution,[],[f638,f531]) ).

fof(f531,plain,
    ssList(sK48),
    inference(cnf_transformation,[],[f331]) ).

fof(f638,plain,
    ( ~ ssList(sK48)
    | spl58_1 ),
    inference(subsumption_resolution,[],[f637,f604]) ).

fof(f604,plain,
    ( ~ frontsegP(sK45,sK44)
    | spl58_1 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f602,plain,
    ( spl58_1
  <=> frontsegP(sK45,sK44) ),
    introduced(avatar_definition,[new_symbols(naming,[spl58_1])]) ).

fof(f637,plain,
    ( ~ ssList(sK48)
    | frontsegP(sK45,sK44) ),
    inference(subsumption_resolution,[],[f636,f533]) ).

fof(f636,plain,
    ( ~ ssList(sK44)
    | frontsegP(sK45,sK44)
    | ~ ssList(sK48) ),
    inference(superposition,[],[f632,f564]) ).

fof(f564,plain,
    app(sK44,sK48) = sK45,
    inference(definition_unfolding,[],[f528,f523,f527]) ).

fof(f527,plain,
    sK47 = sK45,
    inference(cnf_transformation,[],[f331]) ).

fof(f523,plain,
    sK46 = sK44,
    inference(cnf_transformation,[],[f331]) ).

fof(f528,plain,
    app(sK46,sK48) = sK47,
    inference(cnf_transformation,[],[f331]) ).

fof(f632,plain,
    ! [X3,X1] :
      ( frontsegP(app(X1,X3),X1)
      | ~ ssList(X3)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f568,f385]) ).

fof(f385,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ssList(app(X0,X1)) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).

fof(f568,plain,
    ! [X3,X1] :
      ( ~ ssList(app(X1,X3))
      | ~ ssList(X3)
      | frontsegP(app(X1,X3),X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f360]) ).

fof(f360,plain,
    ! [X3,X0,X1] :
      ( frontsegP(X0,X1)
      | app(X1,X3) != X0
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f243]) ).

fof(f243,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ( app(X1,sK11(X0,X1)) = X0
                & ssList(sK11(X0,X1)) )
              | ~ frontsegP(X0,X1) )
            & ( frontsegP(X0,X1)
              | ! [X3] :
                  ( app(X1,X3) != X0
                  | ~ ssList(X3) ) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f241,f242]) ).

fof(f242,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( app(X1,X2) = X0
          & ssList(X2) )
     => ( app(X1,sK11(X0,X1)) = X0
        & ssList(sK11(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f241,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ? [X2] :
                  ( app(X1,X2) = X0
                  & ssList(X2) )
              | ~ frontsegP(X0,X1) )
            & ( frontsegP(X0,X1)
              | ! [X3] :
                  ( app(X1,X3) != X0
                  | ~ ssList(X3) ) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f240]) ).

fof(f240,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ? [X2] :
                  ( app(X1,X2) = X0
                  & ssList(X2) )
              | ~ frontsegP(X0,X1) )
            & ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) )
          <=> frontsegP(X0,X1) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) )
          <=> frontsegP(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f634,plain,
    spl58_3,
    inference(avatar_split_clause,[],[f371,f611]) ).

fof(f371,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

fof(f626,plain,
    ( ~ spl58_5
    | spl58_6 ),
    inference(avatar_split_clause,[],[f566,f623,f619]) ).

fof(f566,plain,
    ( nil = sK45
    | nil != sK44 ),
    inference(definition_unfolding,[],[f524,f523,f527]) ).

fof(f524,plain,
    ( nil != sK46
    | nil = sK47 ),
    inference(cnf_transformation,[],[f331]) ).

fof(f609,plain,
    ( ~ spl58_1
    | ~ spl58_2 ),
    inference(avatar_split_clause,[],[f522,f606,f602]) ).

fof(f522,plain,
    ( ~ neq(sK44,nil)
    | ~ frontsegP(sK45,sK44) ),
    inference(cnf_transformation,[],[f331]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : SWC104+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 18:15:26 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.18/0.49  % (16846)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)
% 0.18/0.49  % (16871)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.50  % (16873)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)
% 0.18/0.50  % (16858)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)
% 0.18/0.50  % (16854)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  % (16860)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)
% 0.18/0.50  % (16863)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.50  % (16847)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)
% 0.18/0.50  % (16851)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51  % (16845)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)
% 0.18/0.51  % (16855)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  % (16851)Instruction limit reached!
% 0.18/0.51  % (16851)------------------------------
% 0.18/0.51  % (16851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (16851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (16851)Termination reason: Unknown
% 0.18/0.51  % (16851)Termination phase: Function definition elimination
% 0.18/0.51  
% 0.18/0.51  % (16851)Memory used [KB]: 1279
% 0.18/0.51  % (16851)Time elapsed: 0.006 s
% 0.18/0.51  % (16851)Instructions burned: 8 (million)
% 0.18/0.51  % (16851)------------------------------
% 0.18/0.51  % (16851)------------------------------
% 0.18/0.52  % (16844)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  % (16849)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)
% 0.18/0.52  % (16874)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)
% 0.18/0.52  % (16848)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (16872)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.52  % (16864)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)
% 0.18/0.52  % (16850)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)
% 0.18/0.52  % (16869)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)
% 0.18/0.52  % (16862)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.53  % (16875)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.53  % (16865)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  % (16859)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)
% 0.18/0.53  % (16866)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53  % (16876)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)
% 0.18/0.53  % (16856)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.54  % (16853)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)
% 0.18/0.54  % (16857)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.54  % (16852)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.54  % (16852)Instruction limit reached!
% 0.18/0.54  % (16852)------------------------------
% 0.18/0.54  % (16852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (16852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (16852)Termination reason: Unknown
% 0.18/0.54  % (16852)Termination phase: Preprocessing 2
% 0.18/0.54  
% 0.18/0.54  % (16852)Memory used [KB]: 1023
% 0.18/0.54  % (16852)Time elapsed: 0.002 s
% 0.18/0.54  % (16852)Instructions burned: 2 (million)
% 0.18/0.54  % (16852)------------------------------
% 0.18/0.54  % (16852)------------------------------
% 0.18/0.54  % (16868)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)
% 0.18/0.55  TRYING [1]
% 0.18/0.55  TRYING [1]
% 0.18/0.55  % (16846)Instruction limit reached!
% 0.18/0.55  % (16846)------------------------------
% 0.18/0.55  % (16846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (16846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (16846)Termination reason: Unknown
% 0.18/0.55  % (16846)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (16846)Memory used [KB]: 1663
% 0.18/0.55  % (16846)Time elapsed: 0.135 s
% 0.18/0.55  % (16846)Instructions burned: 37 (million)
% 0.18/0.55  % (16846)------------------------------
% 0.18/0.55  % (16846)------------------------------
% 0.18/0.56  % (16845)First to succeed.
% 0.18/0.57  % (16854)Instruction limit reached!
% 0.18/0.57  % (16854)------------------------------
% 0.18/0.57  % (16854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (16871)Also succeeded, but the first one will report.
% 0.18/0.57  % (16845)Refutation found. Thanks to Tanya!
% 0.18/0.57  % SZS status Theorem for theBenchmark
% 0.18/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.57  % (16845)------------------------------
% 0.18/0.57  % (16845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (16845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (16845)Termination reason: Refutation
% 0.18/0.57  
% 0.18/0.57  % (16845)Memory used [KB]: 6012
% 0.18/0.57  % (16845)Time elapsed: 0.148 s
% 0.18/0.57  % (16845)Instructions burned: 19 (million)
% 0.18/0.57  % (16845)------------------------------
% 0.18/0.57  % (16845)------------------------------
% 0.18/0.57  % (16838)Success in time 0.224 s
%------------------------------------------------------------------------------