TSTP Solution File: SWC112+1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SWC112+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n028.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 : Mon Jun 24 16:40:52 EDT 2024

% Result   : Theorem 2.64s 0.79s
% Output   : Refutation 2.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  101 (  15 unt;   0 def)
%            Number of atoms       :  770 ( 239 equ)
%            Maximal formula atoms :   62 (   7 avg)
%            Number of connectives : 1081 ( 412   ~; 376   |; 242   &)
%                                         (  17 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  12 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :  280 ( 196   !;  84   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6174,plain,
    $false,
    inference(avatar_sat_refutation,[],[f624,f629,f631,f1281,f1951,f1989,f2038,f2861,f2937,f3064,f3485,f6121,f6140]) ).

fof(f6140,plain,
    ( ~ spl59_35
    | ~ spl59_31
    | spl59_69
    | ~ spl59_4 ),
    inference(avatar_split_clause,[],[f6139,f621,f2979,f1957,f2044]) ).

fof(f2044,plain,
    ( spl59_35
  <=> ssList(app(sK10,sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_35])]) ).

fof(f1957,plain,
    ( spl59_31
  <=> ssList(sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_31])]) ).

fof(f2979,plain,
    ( spl59_69
  <=> nil = app(sK10,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_69])]) ).

fof(f621,plain,
    ( spl59_4
  <=> nil = sK9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_4])]) ).

fof(f6139,plain,
    ( nil = app(sK10,sK8)
    | ~ ssList(sK11)
    | ~ ssList(app(sK10,sK8))
    | ~ spl59_4 ),
    inference(trivial_inequality_removal,[],[f6138]) ).

fof(f6138,plain,
    ( nil != nil
    | nil = app(sK10,sK8)
    | ~ ssList(sK11)
    | ~ ssList(app(sK10,sK8))
    | ~ spl59_4 ),
    inference(forward_demodulation,[],[f1640,f623]) ).

fof(f623,plain,
    ( nil = sK9
    | ~ spl59_4 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f1640,plain,
    ( nil != sK9
    | nil = app(sK10,sK8)
    | ~ ssList(sK11)
    | ~ ssList(app(sK10,sK8)) ),
    inference(superposition,[],[f550,f359]) ).

fof(f359,plain,
    sK9 = app(app(sK10,sK8),sK11),
    inference(cnf_transformation,[],[f239]) ).

fof(f239,plain,
    ( ( ( ( ~ segmentP(sK7,sK6)
          | ~ neq(sK6,nil) )
        & neq(sK7,nil) )
      | ( nil != sK6
        & nil = sK7 ) )
    & ( nil != sK8
      | nil = sK9 )
    & ! [X6] :
        ( ! [X7] :
            ( ! [X8] :
                ( ! [X9] :
                    ( ~ lt(X8,X6)
                    | app(X9,cons(X8,nil)) != sK8
                    | ~ ssList(X9) )
                | ~ ssItem(X8) )
            | app(cons(X6,nil),X7) != sK11
            | ~ ssList(X7) )
        | ~ ssItem(X6) )
    & ! [X10] :
        ( ! [X11] :
            ( ! [X12] :
                ( ! [X13] :
                    ( ~ lt(X10,X12)
                    | app(cons(X12,nil),X13) != sK8
                    | ~ ssList(X13) )
                | ~ ssItem(X12) )
            | app(X11,cons(X10,nil)) != sK10
            | ~ ssList(X11) )
        | ~ ssItem(X10) )
    & strictorderedP(sK8)
    & sK9 = app(app(sK10,sK8),sK11)
    & ssList(sK11)
    & ssList(sK10)
    & sK6 = sK8
    & sK7 = sK9
    & ssList(sK9)
    & ssList(sK8)
    & ssList(sK7)
    & ssList(sK6) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11])],[f100,f238,f237,f236,f235,f234,f233]) ).

fof(f233,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( ( ~ segmentP(X1,X0)
                          | ~ neq(X0,nil) )
                        & neq(X1,nil) )
                      | ( nil != X0
                        & nil = X1 ) )
                    & ( nil != X2
                      | nil = X3 )
                    & ? [X4] :
                        ( ? [X5] :
                            ( ! [X6] :
                                ( ! [X7] :
                                    ( ! [X8] :
                                        ( ! [X9] :
                                            ( ~ lt(X8,X6)
                                            | app(X9,cons(X8,nil)) != X2
                                            | ~ ssList(X9) )
                                        | ~ ssItem(X8) )
                                    | app(cons(X6,nil),X7) != X5
                                    | ~ ssList(X7) )
                                | ~ ssItem(X6) )
                            & ! [X10] :
                                ( ! [X11] :
                                    ( ! [X12] :
                                        ( ! [X13] :
                                            ( ~ lt(X10,X12)
                                            | app(cons(X12,nil),X13) != X2
                                            | ~ ssList(X13) )
                                        | ~ ssItem(X12) )
                                    | app(X11,cons(X10,nil)) != X4
                                    | ~ ssList(X11) )
                                | ~ ssItem(X10) )
                            & strictorderedP(X2)
                            & app(app(X4,X2),X5) = X3
                            & ssList(X5) )
                        & ssList(X4) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ( ~ segmentP(X1,sK6)
                        | ~ neq(sK6,nil) )
                      & neq(X1,nil) )
                    | ( nil != sK6
                      & nil = X1 ) )
                  & ( nil != X2
                    | nil = X3 )
                  & ? [X4] :
                      ( ? [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( ! [X9] :
                                          ( ~ lt(X8,X6)
                                          | app(X9,cons(X8,nil)) != X2
                                          | ~ ssList(X9) )
                                      | ~ ssItem(X8) )
                                  | app(cons(X6,nil),X7) != X5
                                  | ~ ssList(X7) )
                              | ~ ssItem(X6) )
                          & ! [X10] :
                              ( ! [X11] :
                                  ( ! [X12] :
                                      ( ! [X13] :
                                          ( ~ lt(X10,X12)
                                          | app(cons(X12,nil),X13) != X2
                                          | ~ ssList(X13) )
                                      | ~ ssItem(X12) )
                                  | app(X11,cons(X10,nil)) != X4
                                  | ~ ssList(X11) )
                              | ~ ssItem(X10) )
                          & strictorderedP(X2)
                          & app(app(X4,X2),X5) = X3
                          & ssList(X5) )
                      & ssList(X4) )
                  & sK6 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f234,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ( ( ~ segmentP(X1,sK6)
                      | ~ neq(sK6,nil) )
                    & neq(X1,nil) )
                  | ( nil != sK6
                    & nil = X1 ) )
                & ( nil != X2
                  | nil = X3 )
                & ? [X4] :
                    ( ? [X5] :
                        ( ! [X6] :
                            ( ! [X7] :
                                ( ! [X8] :
                                    ( ! [X9] :
                                        ( ~ lt(X8,X6)
                                        | app(X9,cons(X8,nil)) != X2
                                        | ~ ssList(X9) )
                                    | ~ ssItem(X8) )
                                | app(cons(X6,nil),X7) != X5
                                | ~ ssList(X7) )
                            | ~ ssItem(X6) )
                        & ! [X10] :
                            ( ! [X11] :
                                ( ! [X12] :
                                    ( ! [X13] :
                                        ( ~ lt(X10,X12)
                                        | app(cons(X12,nil),X13) != X2
                                        | ~ ssList(X13) )
                                    | ~ ssItem(X12) )
                                | app(X11,cons(X10,nil)) != X4
                                | ~ ssList(X11) )
                            | ~ ssItem(X10) )
                        & strictorderedP(X2)
                        & app(app(X4,X2),X5) = X3
                        & ssList(X5) )
                    & ssList(X4) )
                & sK6 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( ( ~ segmentP(sK7,sK6)
                    | ~ neq(sK6,nil) )
                  & neq(sK7,nil) )
                | ( nil != sK6
                  & nil = sK7 ) )
              & ( nil != X2
                | nil = X3 )
              & ? [X4] :
                  ( ? [X5] :
                      ( ! [X6] :
                          ( ! [X7] :
                              ( ! [X8] :
                                  ( ! [X9] :
                                      ( ~ lt(X8,X6)
                                      | app(X9,cons(X8,nil)) != X2
                                      | ~ ssList(X9) )
                                  | ~ ssItem(X8) )
                              | app(cons(X6,nil),X7) != X5
                              | ~ ssList(X7) )
                          | ~ ssItem(X6) )
                      & ! [X10] :
                          ( ! [X11] :
                              ( ! [X12] :
                                  ( ! [X13] :
                                      ( ~ lt(X10,X12)
                                      | app(cons(X12,nil),X13) != X2
                                      | ~ ssList(X13) )
                                  | ~ ssItem(X12) )
                              | app(X11,cons(X10,nil)) != X4
                              | ~ ssList(X11) )
                          | ~ ssItem(X10) )
                      & strictorderedP(X2)
                      & app(app(X4,X2),X5) = X3
                      & ssList(X5) )
                  & ssList(X4) )
              & sK6 = X2
              & sK7 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f235,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( ( ~ segmentP(sK7,sK6)
                  | ~ neq(sK6,nil) )
                & neq(sK7,nil) )
              | ( nil != sK6
                & nil = sK7 ) )
            & ( nil != X2
              | nil = X3 )
            & ? [X4] :
                ( ? [X5] :
                    ( ! [X6] :
                        ( ! [X7] :
                            ( ! [X8] :
                                ( ! [X9] :
                                    ( ~ lt(X8,X6)
                                    | app(X9,cons(X8,nil)) != X2
                                    | ~ ssList(X9) )
                                | ~ ssItem(X8) )
                            | app(cons(X6,nil),X7) != X5
                            | ~ ssList(X7) )
                        | ~ ssItem(X6) )
                    & ! [X10] :
                        ( ! [X11] :
                            ( ! [X12] :
                                ( ! [X13] :
                                    ( ~ lt(X10,X12)
                                    | app(cons(X12,nil),X13) != X2
                                    | ~ ssList(X13) )
                                | ~ ssItem(X12) )
                            | app(X11,cons(X10,nil)) != X4
                            | ~ ssList(X11) )
                        | ~ ssItem(X10) )
                    & strictorderedP(X2)
                    & app(app(X4,X2),X5) = X3
                    & ssList(X5) )
                & ssList(X4) )
            & sK6 = X2
            & sK7 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( ( ~ segmentP(sK7,sK6)
                | ~ neq(sK6,nil) )
              & neq(sK7,nil) )
            | ( nil != sK6
              & nil = sK7 ) )
          & ( nil != sK8
            | nil = X3 )
          & ? [X4] :
              ( ? [X5] :
                  ( ! [X6] :
                      ( ! [X7] :
                          ( ! [X8] :
                              ( ! [X9] :
                                  ( ~ lt(X8,X6)
                                  | app(X9,cons(X8,nil)) != sK8
                                  | ~ ssList(X9) )
                              | ~ ssItem(X8) )
                          | app(cons(X6,nil),X7) != X5
                          | ~ ssList(X7) )
                      | ~ ssItem(X6) )
                  & ! [X10] :
                      ( ! [X11] :
                          ( ! [X12] :
                              ( ! [X13] :
                                  ( ~ lt(X10,X12)
                                  | app(cons(X12,nil),X13) != sK8
                                  | ~ ssList(X13) )
                              | ~ ssItem(X12) )
                          | app(X11,cons(X10,nil)) != X4
                          | ~ ssList(X11) )
                      | ~ ssItem(X10) )
                  & strictorderedP(sK8)
                  & app(app(X4,sK8),X5) = X3
                  & ssList(X5) )
              & ssList(X4) )
          & sK6 = sK8
          & sK7 = X3
          & ssList(X3) )
      & ssList(sK8) ) ),
    introduced(choice_axiom,[]) ).

fof(f236,plain,
    ( ? [X3] :
        ( ( ( ( ~ segmentP(sK7,sK6)
              | ~ neq(sK6,nil) )
            & neq(sK7,nil) )
          | ( nil != sK6
            & nil = sK7 ) )
        & ( nil != sK8
          | nil = X3 )
        & ? [X4] :
            ( ? [X5] :
                ( ! [X6] :
                    ( ! [X7] :
                        ( ! [X8] :
                            ( ! [X9] :
                                ( ~ lt(X8,X6)
                                | app(X9,cons(X8,nil)) != sK8
                                | ~ ssList(X9) )
                            | ~ ssItem(X8) )
                        | app(cons(X6,nil),X7) != X5
                        | ~ ssList(X7) )
                    | ~ ssItem(X6) )
                & ! [X10] :
                    ( ! [X11] :
                        ( ! [X12] :
                            ( ! [X13] :
                                ( ~ lt(X10,X12)
                                | app(cons(X12,nil),X13) != sK8
                                | ~ ssList(X13) )
                            | ~ ssItem(X12) )
                        | app(X11,cons(X10,nil)) != X4
                        | ~ ssList(X11) )
                    | ~ ssItem(X10) )
                & strictorderedP(sK8)
                & app(app(X4,sK8),X5) = X3
                & ssList(X5) )
            & ssList(X4) )
        & sK6 = sK8
        & sK7 = X3
        & ssList(X3) )
   => ( ( ( ( ~ segmentP(sK7,sK6)
            | ~ neq(sK6,nil) )
          & neq(sK7,nil) )
        | ( nil != sK6
          & nil = sK7 ) )
      & ( nil != sK8
        | nil = sK9 )
      & ? [X4] :
          ( ? [X5] :
              ( ! [X6] :
                  ( ! [X7] :
                      ( ! [X8] :
                          ( ! [X9] :
                              ( ~ lt(X8,X6)
                              | app(X9,cons(X8,nil)) != sK8
                              | ~ ssList(X9) )
                          | ~ ssItem(X8) )
                      | app(cons(X6,nil),X7) != X5
                      | ~ ssList(X7) )
                  | ~ ssItem(X6) )
              & ! [X10] :
                  ( ! [X11] :
                      ( ! [X12] :
                          ( ! [X13] :
                              ( ~ lt(X10,X12)
                              | app(cons(X12,nil),X13) != sK8
                              | ~ ssList(X13) )
                          | ~ ssItem(X12) )
                      | app(X11,cons(X10,nil)) != X4
                      | ~ ssList(X11) )
                  | ~ ssItem(X10) )
              & strictorderedP(sK8)
              & app(app(X4,sK8),X5) = sK9
              & ssList(X5) )
          & ssList(X4) )
      & sK6 = sK8
      & sK7 = sK9
      & ssList(sK9) ) ),
    introduced(choice_axiom,[]) ).

fof(f237,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( ! [X6] :
                ( ! [X7] :
                    ( ! [X8] :
                        ( ! [X9] :
                            ( ~ lt(X8,X6)
                            | app(X9,cons(X8,nil)) != sK8
                            | ~ ssList(X9) )
                        | ~ ssItem(X8) )
                    | app(cons(X6,nil),X7) != X5
                    | ~ ssList(X7) )
                | ~ ssItem(X6) )
            & ! [X10] :
                ( ! [X11] :
                    ( ! [X12] :
                        ( ! [X13] :
                            ( ~ lt(X10,X12)
                            | app(cons(X12,nil),X13) != sK8
                            | ~ ssList(X13) )
                        | ~ ssItem(X12) )
                    | app(X11,cons(X10,nil)) != X4
                    | ~ ssList(X11) )
                | ~ ssItem(X10) )
            & strictorderedP(sK8)
            & app(app(X4,sK8),X5) = sK9
            & ssList(X5) )
        & ssList(X4) )
   => ( ? [X5] :
          ( ! [X6] :
              ( ! [X7] :
                  ( ! [X8] :
                      ( ! [X9] :
                          ( ~ lt(X8,X6)
                          | app(X9,cons(X8,nil)) != sK8
                          | ~ ssList(X9) )
                      | ~ ssItem(X8) )
                  | app(cons(X6,nil),X7) != X5
                  | ~ ssList(X7) )
              | ~ ssItem(X6) )
          & ! [X10] :
              ( ! [X11] :
                  ( ! [X12] :
                      ( ! [X13] :
                          ( ~ lt(X10,X12)
                          | app(cons(X12,nil),X13) != sK8
                          | ~ ssList(X13) )
                      | ~ ssItem(X12) )
                  | app(X11,cons(X10,nil)) != sK10
                  | ~ ssList(X11) )
              | ~ ssItem(X10) )
          & strictorderedP(sK8)
          & sK9 = app(app(sK10,sK8),X5)
          & ssList(X5) )
      & ssList(sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f238,plain,
    ( ? [X5] :
        ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ~ lt(X8,X6)
                        | app(X9,cons(X8,nil)) != sK8
                        | ~ ssList(X9) )
                    | ~ ssItem(X8) )
                | app(cons(X6,nil),X7) != X5
                | ~ ssList(X7) )
            | ~ ssItem(X6) )
        & ! [X10] :
            ( ! [X11] :
                ( ! [X12] :
                    ( ! [X13] :
                        ( ~ lt(X10,X12)
                        | app(cons(X12,nil),X13) != sK8
                        | ~ ssList(X13) )
                    | ~ ssItem(X12) )
                | app(X11,cons(X10,nil)) != sK10
                | ~ ssList(X11) )
            | ~ ssItem(X10) )
        & strictorderedP(sK8)
        & sK9 = app(app(sK10,sK8),X5)
        & ssList(X5) )
   => ( ! [X6] :
          ( ! [X7] :
              ( ! [X8] :
                  ( ! [X9] :
                      ( ~ lt(X8,X6)
                      | app(X9,cons(X8,nil)) != sK8
                      | ~ ssList(X9) )
                  | ~ ssItem(X8) )
              | app(cons(X6,nil),X7) != sK11
              | ~ ssList(X7) )
          | ~ ssItem(X6) )
      & ! [X10] :
          ( ! [X11] :
              ( ! [X12] :
                  ( ! [X13] :
                      ( ~ lt(X10,X12)
                      | app(cons(X12,nil),X13) != sK8
                      | ~ ssList(X13) )
                  | ~ ssItem(X12) )
              | app(X11,cons(X10,nil)) != sK10
              | ~ ssList(X11) )
          | ~ ssItem(X10) )
      & strictorderedP(sK8)
      & sK9 = app(app(sK10,sK8),sK11)
      & ssList(sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ( ~ segmentP(X1,X0)
                        | ~ neq(X0,nil) )
                      & neq(X1,nil) )
                    | ( nil != X0
                      & nil = X1 ) )
                  & ( nil != X2
                    | nil = X3 )
                  & ? [X4] :
                      ( ? [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( ! [X9] :
                                          ( ~ lt(X8,X6)
                                          | app(X9,cons(X8,nil)) != X2
                                          | ~ ssList(X9) )
                                      | ~ ssItem(X8) )
                                  | app(cons(X6,nil),X7) != X5
                                  | ~ ssList(X7) )
                              | ~ ssItem(X6) )
                          & ! [X10] :
                              ( ! [X11] :
                                  ( ! [X12] :
                                      ( ! [X13] :
                                          ( ~ lt(X10,X12)
                                          | app(cons(X12,nil),X13) != X2
                                          | ~ ssList(X13) )
                                      | ~ ssItem(X12) )
                                  | app(X11,cons(X10,nil)) != X4
                                  | ~ ssList(X11) )
                              | ~ ssItem(X10) )
                          & strictorderedP(X2)
                          & app(app(X4,X2),X5) = X3
                          & ssList(X5) )
                      & ssList(X4) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f99]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ( ~ segmentP(X1,X0)
                        | ~ neq(X0,nil) )
                      & neq(X1,nil) )
                    | ( nil != X0
                      & nil = X1 ) )
                  & ( nil != X2
                    | nil = X3 )
                  & ? [X4] :
                      ( ? [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( ! [X9] :
                                          ( ~ lt(X8,X6)
                                          | app(X9,cons(X8,nil)) != X2
                                          | ~ ssList(X9) )
                                      | ~ ssItem(X8) )
                                  | app(cons(X6,nil),X7) != X5
                                  | ~ ssList(X7) )
                              | ~ ssItem(X6) )
                          & ! [X10] :
                              ( ! [X11] :
                                  ( ! [X12] :
                                      ( ! [X13] :
                                          ( ~ lt(X10,X12)
                                          | app(cons(X12,nil),X13) != X2
                                          | ~ ssList(X13) )
                                      | ~ ssItem(X12) )
                                  | app(X11,cons(X10,nil)) != X4
                                  | ~ ssList(X11) )
                              | ~ ssItem(X10) )
                          & strictorderedP(X2)
                          & app(app(X4,X2),X5) = X3
                          & ssList(X5) )
                      & ssList(X4) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( ( ( segmentP(X1,X0)
                            & neq(X0,nil) )
                          | ~ neq(X1,nil) )
                        & ( nil = X0
                          | nil != X1 ) )
                      | ( nil = X2
                        & nil != X3 )
                      | ! [X4] :
                          ( ssList(X4)
                         => ! [X5] :
                              ( ssList(X5)
                             => ( ? [X6] :
                                    ( ? [X7] :
                                        ( ? [X8] :
                                            ( ? [X9] :
                                                ( lt(X8,X6)
                                                & app(X9,cons(X8,nil)) = X2
                                                & ssList(X9) )
                                            & ssItem(X8) )
                                        & app(cons(X6,nil),X7) = X5
                                        & ssList(X7) )
                                    & ssItem(X6) )
                                | ? [X10] :
                                    ( ? [X11] :
                                        ( ? [X12] :
                                            ( ? [X13] :
                                                ( lt(X10,X12)
                                                & app(cons(X12,nil),X13) = X2
                                                & ssList(X13) )
                                            & ssItem(X12) )
                                        & app(X11,cons(X10,nil)) = X4
                                        & ssList(X11) )
                                    & ssItem(X10) )
                                | ~ strictorderedP(X2)
                                | app(app(X4,X2),X5) != X3 ) ) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( ( ( segmentP(X1,X0)
                            & neq(X0,nil) )
                          | ~ neq(X1,nil) )
                        & ( nil = X0
                          | nil != X1 ) )
                      | ( nil = X2
                        & nil != X3 )
                      | ! [X4] :
                          ( ssList(X4)
                         => ! [X5] :
                              ( ssList(X5)
                             => ( ? [X10] :
                                    ( ? [X11] :
                                        ( ? [X12] :
                                            ( ? [X13] :
                                                ( lt(X12,X10)
                                                & app(X13,cons(X12,nil)) = X2
                                                & ssList(X13) )
                                            & ssItem(X12) )
                                        & app(cons(X10,nil),X11) = X5
                                        & ssList(X11) )
                                    & ssItem(X10) )
                                | ? [X6] :
                                    ( ? [X7] :
                                        ( ? [X8] :
                                            ( ? [X9] :
                                                ( lt(X6,X8)
                                                & app(cons(X8,nil),X9) = X2
                                                & ssList(X9) )
                                            & ssItem(X8) )
                                        & app(X7,cons(X6,nil)) = X4
                                        & ssList(X7) )
                                    & ssItem(X6) )
                                | ~ strictorderedP(X2)
                                | app(app(X4,X2),X5) != X3 ) ) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( ( segmentP(X1,X0)
                          & neq(X0,nil) )
                        | ~ neq(X1,nil) )
                      & ( nil = X0
                        | nil != X1 ) )
                    | ( nil = X2
                      & nil != X3 )
                    | ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( ? [X10] :
                                  ( ? [X11] :
                                      ( ? [X12] :
                                          ( ? [X13] :
                                              ( lt(X12,X10)
                                              & app(X13,cons(X12,nil)) = X2
                                              & ssList(X13) )
                                          & ssItem(X12) )
                                      & app(cons(X10,nil),X11) = X5
                                      & ssList(X11) )
                                  & ssItem(X10) )
                              | ? [X6] :
                                  ( ? [X7] :
                                      ( ? [X8] :
                                          ( ? [X9] :
                                              ( lt(X6,X8)
                                              & app(cons(X8,nil),X9) = X2
                                              & ssList(X9) )
                                          & ssItem(X8) )
                                      & app(X7,cons(X6,nil)) = X4
                                      & ssList(X7) )
                                  & ssItem(X6) )
                              | ~ strictorderedP(X2)
                              | app(app(X4,X2),X5) != X3 ) ) )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f550,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | nil = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f347,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f346]) ).

fof(f346,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f203]) ).

fof(f203,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f6121,plain,
    ( ~ spl59_29
    | spl59_1
    | spl59_2 ),
    inference(avatar_split_clause,[],[f6120,f612,f608,f1922]) ).

fof(f1922,plain,
    ( spl59_29
  <=> ssList(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_29])]) ).

fof(f608,plain,
    ( spl59_1
  <=> nil = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_1])]) ).

fof(f612,plain,
    ( spl59_2
  <=> neq(sK8,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_2])]) ).

fof(f6120,plain,
    ( nil = sK8
    | ~ ssList(sK8)
    | spl59_2 ),
    inference(resolution,[],[f1413,f614]) ).

fof(f614,plain,
    ( ~ neq(sK8,nil)
    | spl59_2 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f1413,plain,
    ! [X0] :
      ( neq(X0,nil)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f538,f376]) ).

fof(f376,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f538,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | X0 = X1
      | neq(X0,X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f332]) ).

fof(f332,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f199]) ).

fof(f199,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

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

fof(f3485,plain,
    ( spl59_3
    | ~ spl59_29
    | ~ spl59_50
    | ~ spl59_31
    | ~ spl59_32 ),
    inference(avatar_split_clause,[],[f3462,f1961,f1957,f2781,f1922,f616]) ).

fof(f616,plain,
    ( spl59_3
  <=> segmentP(sK9,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_3])]) ).

fof(f2781,plain,
    ( spl59_50
  <=> ssList(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_50])]) ).

fof(f1961,plain,
    ( spl59_32
  <=> ssList(sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_32])]) ).

fof(f3462,plain,
    ( ~ ssList(sK9)
    | ~ ssList(sK11)
    | ~ ssList(sK10)
    | ~ ssList(sK8)
    | segmentP(sK9,sK8) ),
    inference(superposition,[],[f597,f359]) ).

fof(f597,plain,
    ! [X2,X3,X1] :
      ( ~ ssList(app(app(X2,X1),X3))
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | segmentP(app(app(X2,X1),X3),X1) ),
    inference(equality_resolution,[],[f548]) ).

fof(f548,plain,
    ! [X2,X3,X0,X1] :
      ( segmentP(X0,X1)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f345]) ).

fof(f345,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ( app(app(sK55(X0,X1),X1),sK56(X0,X1)) = X0
                & ssList(sK56(X0,X1))
                & ssList(sK55(X0,X1)) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK55,sK56])],[f342,f344,f343]) ).

fof(f343,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( app(app(X4,X1),X5) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( app(app(sK55(X0,X1),X1),X5) = X0
            & ssList(X5) )
        & ssList(sK55(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f344,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( app(app(sK55(X0,X1),X1),X5) = X0
          & ssList(X5) )
     => ( app(app(sK55(X0,X1),X1),sK56(X0,X1)) = X0
        & ssList(sK56(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f342,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X4] :
                  ( ? [X5] :
                      ( app(app(X4,X1),X5) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f341]) ).

fof(f341,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( ? [X3] :
                      ( app(app(X2,X1),X3) = X0
                      & ssList(X3) )
                  & ssList(X2) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f202]) ).

fof(f202,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) )
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) )
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f3064,plain,
    ( ~ spl59_50
    | ~ spl59_29
    | spl59_1
    | ~ spl59_69 ),
    inference(avatar_split_clause,[],[f3063,f2979,f608,f1922,f2781]) ).

fof(f3063,plain,
    ( nil = sK8
    | ~ ssList(sK8)
    | ~ ssList(sK10)
    | ~ spl59_69 ),
    inference(trivial_inequality_removal,[],[f3054]) ).

fof(f3054,plain,
    ( nil != nil
    | nil = sK8
    | ~ ssList(sK8)
    | ~ ssList(sK10)
    | ~ spl59_69 ),
    inference(superposition,[],[f549,f2981]) ).

fof(f2981,plain,
    ( nil = app(sK10,sK8)
    | ~ spl59_69 ),
    inference(avatar_component_clause,[],[f2979]) ).

fof(f549,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | nil = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f2937,plain,
    ( ~ spl59_50
    | ~ spl59_29
    | spl59_35 ),
    inference(avatar_split_clause,[],[f2936,f2044,f1922,f2781]) ).

fof(f2936,plain,
    ( ~ ssList(sK8)
    | ~ ssList(sK10)
    | spl59_35 ),
    inference(resolution,[],[f2046,f530]) ).

fof(f530,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f186,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f26]) ).

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

fof(f2046,plain,
    ( ~ ssList(app(sK10,sK8))
    | spl59_35 ),
    inference(avatar_component_clause,[],[f2044]) ).

fof(f2861,plain,
    spl59_50,
    inference(avatar_contradiction_clause,[],[f2860]) ).

fof(f2860,plain,
    ( $false
    | spl59_50 ),
    inference(resolution,[],[f2783,f357]) ).

fof(f357,plain,
    ssList(sK10),
    inference(cnf_transformation,[],[f239]) ).

fof(f2783,plain,
    ( ~ ssList(sK10)
    | spl59_50 ),
    inference(avatar_component_clause,[],[f2781]) ).

fof(f2038,plain,
    spl59_32,
    inference(avatar_contradiction_clause,[],[f2037]) ).

fof(f2037,plain,
    ( $false
    | spl59_32 ),
    inference(resolution,[],[f1963,f354]) ).

fof(f354,plain,
    ssList(sK9),
    inference(cnf_transformation,[],[f239]) ).

fof(f1963,plain,
    ( ~ ssList(sK9)
    | spl59_32 ),
    inference(avatar_component_clause,[],[f1961]) ).

fof(f1989,plain,
    spl59_31,
    inference(avatar_contradiction_clause,[],[f1988]) ).

fof(f1988,plain,
    ( $false
    | spl59_31 ),
    inference(resolution,[],[f1959,f358]) ).

fof(f358,plain,
    ssList(sK11),
    inference(cnf_transformation,[],[f239]) ).

fof(f1959,plain,
    ( ~ ssList(sK11)
    | spl59_31 ),
    inference(avatar_component_clause,[],[f1957]) ).

fof(f1951,plain,
    spl59_29,
    inference(avatar_contradiction_clause,[],[f1950]) ).

fof(f1950,plain,
    ( $false
    | spl59_29 ),
    inference(resolution,[],[f1924,f353]) ).

fof(f353,plain,
    ssList(sK8),
    inference(cnf_transformation,[],[f239]) ).

fof(f1924,plain,
    ( ~ ssList(sK8)
    | spl59_29 ),
    inference(avatar_component_clause,[],[f1922]) ).

fof(f1281,plain,
    ( ~ spl59_4
    | ~ spl59_5 ),
    inference(avatar_contradiction_clause,[],[f1280]) ).

fof(f1280,plain,
    ( $false
    | ~ spl59_4
    | ~ spl59_5 ),
    inference(resolution,[],[f1264,f702]) ).

fof(f702,plain,
    ~ neq(nil,nil),
    inference(resolution,[],[f601,f376]) ).

fof(f601,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(duplicate_literal_removal,[],[f594]) ).

fof(f594,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f537]) ).

fof(f537,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f332]) ).

fof(f1264,plain,
    ( neq(nil,nil)
    | ~ spl59_4
    | ~ spl59_5 ),
    inference(forward_demodulation,[],[f628,f623]) ).

fof(f628,plain,
    ( neq(sK9,nil)
    | ~ spl59_5 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f626,plain,
    ( spl59_5
  <=> neq(sK9,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_5])]) ).

fof(f631,plain,
    ( spl59_4
    | ~ spl59_1 ),
    inference(avatar_split_clause,[],[f363,f608,f621]) ).

fof(f363,plain,
    ( nil != sK8
    | nil = sK9 ),
    inference(cnf_transformation,[],[f239]) ).

fof(f629,plain,
    ( ~ spl59_1
    | spl59_5 ),
    inference(avatar_split_clause,[],[f569,f626,f608]) ).

fof(f569,plain,
    ( neq(sK9,nil)
    | nil != sK8 ),
    inference(definition_unfolding,[],[f365,f355,f356]) ).

fof(f356,plain,
    sK6 = sK8,
    inference(cnf_transformation,[],[f239]) ).

fof(f355,plain,
    sK7 = sK9,
    inference(cnf_transformation,[],[f239]) ).

fof(f365,plain,
    ( neq(sK7,nil)
    | nil != sK6 ),
    inference(cnf_transformation,[],[f239]) ).

fof(f624,plain,
    ( spl59_4
    | ~ spl59_2
    | ~ spl59_3 ),
    inference(avatar_split_clause,[],[f568,f616,f612,f621]) ).

fof(f568,plain,
    ( ~ segmentP(sK9,sK8)
    | ~ neq(sK8,nil)
    | nil = sK9 ),
    inference(definition_unfolding,[],[f366,f355,f356,f356,f355]) ).

fof(f366,plain,
    ( ~ segmentP(sK7,sK6)
    | ~ neq(sK6,nil)
    | nil = sK7 ),
    inference(cnf_transformation,[],[f239]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SWC112+1 : TPTP v8.2.0. Released v2.4.0.
% 0.02/0.10  % Command    : run_vampire %s %d SAT
% 0.09/0.29  % Computer : n028.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Thu Jun 20 04:52:38 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.09/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.09/0.31  Running first-order model finding
% 0.09/0.31  Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % (25700)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36  % (25707)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.15/0.37  % (25700)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (25705)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.15/0.37  % (25700)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (25706)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.15/0.38  % (25700)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (25704)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.15/0.39  % (25700)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39  % (25702)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.15/0.42  % (25707)Instruction limit reached!
% 0.15/0.42  % (25707)------------------------------
% 0.15/0.42  % (25707)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.42  % (25707)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.42  % (25707)Termination reason: Time limit
% 0.15/0.42  % (25707)Termination phase: Saturation
% 0.15/0.42  
% 0.15/0.42  % (25707)Memory used [KB]: 3204
% 0.15/0.42  % (25707)Time elapsed: 0.056 s
% 0.15/0.42  % (25707)Instructions burned: 115 (million)
% 0.15/0.42  % (25705)Instruction limit reached!
% 0.15/0.42  % (25705)------------------------------
% 0.15/0.42  % (25705)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.42  % (25705)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.42  % (25705)Termination reason: Time limit
% 0.15/0.42  % (25705)Termination phase: Saturation
% 0.15/0.42  
% 0.15/0.42  % (25705)Memory used [KB]: 1644
% 0.15/0.42  % (25705)Time elapsed: 0.054 s
% 0.15/0.42  % (25705)Instructions burned: 104 (million)
% 0.15/0.42  % (25700)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.42  % (25701)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.15/0.43  % (25700)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.43  % (25703)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.15/0.45  % (25706)Instruction limit reached!
% 0.15/0.45  % (25706)------------------------------
% 0.15/0.45  % (25706)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.45  % (25706)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.45  % (25706)Termination reason: Time limit
% 0.15/0.45  % (25706)Termination phase: Saturation
% 0.15/0.45  
% 0.15/0.45  % (25706)Memory used [KB]: 2144
% 0.15/0.45  % (25706)Time elapsed: 0.079 s
% 0.15/0.45  % (25706)Instructions burned: 146 (million)
% 0.15/0.46  TRYING [1]
% 0.15/0.46  TRYING [2]
% 0.15/0.47  TRYING [3]
% 0.15/0.49  % (25700)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.49  % (25709)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.15/0.49  % (25700)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.49  % (25708)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 0.15/0.50  TRYING [10]
% 0.15/0.51  % (25700)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.51  % (25710)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 0.15/0.51  TRYING [4]
% 1.67/0.59  % (25709)Instruction limit reached!
% 1.67/0.59  % (25709)------------------------------
% 1.67/0.59  % (25709)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.67/0.59  % (25709)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.67/0.59  % (25709)Termination reason: Time limit
% 1.67/0.59  % (25709)Termination phase: Saturation
% 1.67/0.59  
% 1.67/0.59  % (25709)Memory used [KB]: 3967
% 1.67/0.59  % (25709)Time elapsed: 0.115 s
% 1.67/0.59  % (25709)Instructions burned: 176 (million)
% 1.67/0.62  TRYING [5]
% 2.05/0.66  % (25700)Running in auto input_syntax mode. Trying TPTP
% 2.05/0.66  % (25711)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 2.17/0.66  % (25710)Instruction limit reached!
% 2.17/0.66  % (25710)------------------------------
% 2.17/0.66  % (25710)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.17/0.66  % (25710)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.17/0.66  % (25710)Termination reason: Time limit
% 2.17/0.66  % (25710)Termination phase: Saturation
% 2.17/0.66  
% 2.17/0.66  % (25710)Memory used [KB]: 4662
% 2.17/0.66  % (25710)Time elapsed: 0.155 s
% 2.17/0.66  % (25710)Instructions burned: 270 (million)
% 2.17/0.71  % (25708)Instruction limit reached!
% 2.17/0.71  % (25708)------------------------------
% 2.17/0.71  % (25708)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.17/0.71  % (25708)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.17/0.71  % (25708)Termination reason: Time limit
% 2.17/0.71  % (25708)Termination phase: Saturation
% 2.17/0.71  
% 2.17/0.71  % (25708)Memory used [KB]: 5348
% 2.17/0.71  % (25708)Time elapsed: 0.220 s
% 2.17/0.71  % (25708)Instructions burned: 404 (million)
% 2.19/0.73  % (25700)Running in auto input_syntax mode. Trying TPTP
% 2.19/0.73  % (25712)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2996ds/7859Mi)
% 2.19/0.74  TRYING [1]
% 2.19/0.74  TRYING [2]
% 2.64/0.75  TRYING [3]
% 2.64/0.78  % (25700)Running in auto input_syntax mode. Trying TPTP
% 2.64/0.78  % (25713)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2996ds/2145Mi)
% 2.64/0.78  % (25711)First to succeed.
% 2.64/0.79  % (25711)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25700"
% 2.64/0.79  % (25700)Running in auto input_syntax mode. Trying TPTP
% 2.64/0.79  % (25711)Refutation found. Thanks to Tanya!
% 2.64/0.79  % SZS status Theorem for theBenchmark
% 2.64/0.79  % SZS output start Proof for theBenchmark
% See solution above
% 2.64/0.79  % (25711)------------------------------
% 2.64/0.79  % (25711)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.64/0.79  % (25711)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.64/0.79  % (25711)Termination reason: Refutation
% 2.64/0.79  
% 2.64/0.79  % (25711)Memory used [KB]: 4305
% 2.64/0.79  % (25711)Time elapsed: 0.129 s
% 2.64/0.79  % (25711)Instructions burned: 234 (million)
% 2.64/0.79  % (25711)------------------------------
% 2.64/0.79  % (25711)------------------------------
% 2.64/0.79  % (25700)Success in time 0.463 s
%------------------------------------------------------------------------------