TSTP Solution File: SWC406+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC406+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n010.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 : Tue Apr 30 16:22:45 EDT 2024

% Result   : Theorem 0.20s 0.39s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   32
% Syntax   : Number of formulae    :   79 (  44 unt;   0 def)
%            Number of atoms       :  379 (  53 equ)
%            Maximal formula atoms :   34 (   4 avg)
%            Number of connectives :  429 ( 129   ~; 107   |; 154   &)
%                                         (  16 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   31 (  29 usr;  17 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   99 (  50   !;  49   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f733,plain,
    $false,
    inference(avatar_sat_refutation,[],[f657,f662,f667,f672,f677,f681,f685,f691,f696,f701,f706,f711,f716,f721,f726,f731,f732]) ).

fof(f732,plain,
    ( ~ spl72_3
    | spl72_4
    | ~ spl72_5
    | ~ spl72_7 ),
    inference(avatar_split_clause,[],[f686,f683,f674,f669,f664]) ).

fof(f664,plain,
    ( spl72_3
  <=> ssItem(sK24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_3])]) ).

fof(f669,plain,
    ( spl72_4
  <=> memberP(sK23,sK24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_4])]) ).

fof(f674,plain,
    ( spl72_5
  <=> memberP(sK22,sK24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_5])]) ).

fof(f683,plain,
    ( spl72_7
  <=> ! [X5] :
        ( memberP(sK23,X5)
        | ~ memberP(sK22,X5)
        | ~ ssItem(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_7])]) ).

fof(f686,plain,
    ( memberP(sK23,sK24)
    | ~ ssItem(sK24)
    | ~ spl72_5
    | ~ spl72_7 ),
    inference(resolution,[],[f684,f676]) ).

fof(f676,plain,
    ( memberP(sK22,sK24)
    | ~ spl72_5 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f684,plain,
    ( ! [X5] :
        ( ~ memberP(sK22,X5)
        | memberP(sK23,X5)
        | ~ ssItem(X5) )
    | ~ spl72_7 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f731,plain,
    spl72_16,
    inference(avatar_split_clause,[],[f406,f728]) ).

fof(f728,plain,
    ( spl72_16
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_16])]) ).

fof(f406,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f726,plain,
    spl72_15,
    inference(avatar_split_clause,[],[f405,f723]) ).

fof(f723,plain,
    ( spl72_15
  <=> totalorderedP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_15])]) ).

fof(f405,plain,
    totalorderedP(nil),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).

fof(f721,plain,
    spl72_14,
    inference(avatar_split_clause,[],[f404,f718]) ).

fof(f718,plain,
    ( spl72_14
  <=> strictorderedP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_14])]) ).

fof(f404,plain,
    strictorderedP(nil),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).

fof(f716,plain,
    spl72_13,
    inference(avatar_split_clause,[],[f403,f713]) ).

fof(f713,plain,
    ( spl72_13
  <=> totalorderP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_13])]) ).

fof(f403,plain,
    totalorderP(nil),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,axiom,
    totalorderP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).

fof(f711,plain,
    spl72_12,
    inference(avatar_split_clause,[],[f402,f708]) ).

fof(f708,plain,
    ( spl72_12
  <=> strictorderP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_12])]) ).

fof(f402,plain,
    strictorderP(nil),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,axiom,
    strictorderP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).

fof(f706,plain,
    spl72_11,
    inference(avatar_split_clause,[],[f401,f703]) ).

fof(f703,plain,
    ( spl72_11
  <=> cyclefreeP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_11])]) ).

fof(f401,plain,
    cyclefreeP(nil),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,axiom,
    cyclefreeP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).

fof(f701,plain,
    spl72_10,
    inference(avatar_split_clause,[],[f400,f698]) ).

fof(f698,plain,
    ( spl72_10
  <=> duplicatefreeP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_10])]) ).

fof(f400,plain,
    duplicatefreeP(nil),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).

fof(f696,plain,
    spl72_9,
    inference(avatar_split_clause,[],[f399,f693]) ).

fof(f693,plain,
    ( spl72_9
  <=> equalelemsP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_9])]) ).

fof(f399,plain,
    equalelemsP(nil),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).

fof(f691,plain,
    ~ spl72_8,
    inference(avatar_split_clause,[],[f398,f688]) ).

fof(f688,plain,
    ( spl72_8
  <=> singletonP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_8])]) ).

fof(f398,plain,
    ~ singletonP(nil),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ~ singletonP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).

fof(f685,plain,
    spl72_7,
    inference(avatar_split_clause,[],[f393,f683]) ).

fof(f393,plain,
    ! [X5] :
      ( memberP(sK23,X5)
      | ~ memberP(sK22,X5)
      | ~ ssItem(X5) ),
    inference(cnf_transformation,[],[f262]) ).

fof(f262,plain,
    ( ~ memberP(sK21,sK24)
    & memberP(sK20,sK24)
    & ssItem(sK24)
    & ! [X5] :
        ( ( ( ( ! [X6] :
                  ( ~ leq(X6,X5)
                  | ~ memberP(sK23,X6)
                  | X5 = X6
                  | ~ ssItem(X6) )
              & memberP(sK23,X5) )
            | ~ memberP(sK22,X5) )
          & sP0(X5,sK23,sK22) )
        | ~ ssItem(X5) )
    & sK20 = sK22
    & sK21 = sK23
    & ssList(sK23)
    & ssList(sK22)
    & ssList(sK21)
    & ssList(sK20) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24])],[f225,f261,f260,f259,f258,f257]) ).

fof(f257,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ~ memberP(X1,X4)
                        & memberP(X0,X4)
                        & ssItem(X4) )
                    & ! [X5] :
                        ( ( ( ( ! [X6] :
                                  ( ~ leq(X6,X5)
                                  | ~ memberP(X3,X6)
                                  | X5 = X6
                                  | ~ ssItem(X6) )
                              & memberP(X3,X5) )
                            | ~ memberP(X2,X5) )
                          & sP0(X5,X3,X2) )
                        | ~ ssItem(X5) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ~ memberP(X1,X4)
                      & memberP(sK20,X4)
                      & ssItem(X4) )
                  & ! [X5] :
                      ( ( ( ( ! [X6] :
                                ( ~ leq(X6,X5)
                                | ~ memberP(X3,X6)
                                | X5 = X6
                                | ~ ssItem(X6) )
                            & memberP(X3,X5) )
                          | ~ memberP(X2,X5) )
                        & sP0(X5,X3,X2) )
                      | ~ ssItem(X5) )
                  & sK20 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK20) ) ),
    introduced(choice_axiom,[]) ).

fof(f258,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ~ memberP(X1,X4)
                    & memberP(sK20,X4)
                    & ssItem(X4) )
                & ! [X5] :
                    ( ( ( ( ! [X6] :
                              ( ~ leq(X6,X5)
                              | ~ memberP(X3,X6)
                              | X5 = X6
                              | ~ ssItem(X6) )
                          & memberP(X3,X5) )
                        | ~ memberP(X2,X5) )
                      & sP0(X5,X3,X2) )
                    | ~ ssItem(X5) )
                & sK20 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ~ memberP(sK21,X4)
                  & memberP(sK20,X4)
                  & ssItem(X4) )
              & ! [X5] :
                  ( ( ( ( ! [X6] :
                            ( ~ leq(X6,X5)
                            | ~ memberP(X3,X6)
                            | X5 = X6
                            | ~ ssItem(X6) )
                        & memberP(X3,X5) )
                      | ~ memberP(X2,X5) )
                    & sP0(X5,X3,X2) )
                  | ~ ssItem(X5) )
              & sK20 = X2
              & sK21 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK21) ) ),
    introduced(choice_axiom,[]) ).

fof(f259,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ? [X4] :
                ( ~ memberP(sK21,X4)
                & memberP(sK20,X4)
                & ssItem(X4) )
            & ! [X5] :
                ( ( ( ( ! [X6] :
                          ( ~ leq(X6,X5)
                          | ~ memberP(X3,X6)
                          | X5 = X6
                          | ~ ssItem(X6) )
                      & memberP(X3,X5) )
                    | ~ memberP(X2,X5) )
                  & sP0(X5,X3,X2) )
                | ~ ssItem(X5) )
            & sK20 = X2
            & sK21 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ? [X4] :
              ( ~ memberP(sK21,X4)
              & memberP(sK20,X4)
              & ssItem(X4) )
          & ! [X5] :
              ( ( ( ( ! [X6] :
                        ( ~ leq(X6,X5)
                        | ~ memberP(X3,X6)
                        | X5 = X6
                        | ~ ssItem(X6) )
                    & memberP(X3,X5) )
                  | ~ memberP(sK22,X5) )
                & sP0(X5,X3,sK22) )
              | ~ ssItem(X5) )
          & sK20 = sK22
          & sK21 = X3
          & ssList(X3) )
      & ssList(sK22) ) ),
    introduced(choice_axiom,[]) ).

fof(f260,plain,
    ( ? [X3] :
        ( ? [X4] :
            ( ~ memberP(sK21,X4)
            & memberP(sK20,X4)
            & ssItem(X4) )
        & ! [X5] :
            ( ( ( ( ! [X6] :
                      ( ~ leq(X6,X5)
                      | ~ memberP(X3,X6)
                      | X5 = X6
                      | ~ ssItem(X6) )
                  & memberP(X3,X5) )
                | ~ memberP(sK22,X5) )
              & sP0(X5,X3,sK22) )
            | ~ ssItem(X5) )
        & sK20 = sK22
        & sK21 = X3
        & ssList(X3) )
   => ( ? [X4] :
          ( ~ memberP(sK21,X4)
          & memberP(sK20,X4)
          & ssItem(X4) )
      & ! [X5] :
          ( ( ( ( ! [X6] :
                    ( ~ leq(X6,X5)
                    | ~ memberP(sK23,X6)
                    | X5 = X6
                    | ~ ssItem(X6) )
                & memberP(sK23,X5) )
              | ~ memberP(sK22,X5) )
            & sP0(X5,sK23,sK22) )
          | ~ ssItem(X5) )
      & sK20 = sK22
      & sK21 = sK23
      & ssList(sK23) ) ),
    introduced(choice_axiom,[]) ).

fof(f261,plain,
    ( ? [X4] :
        ( ~ memberP(sK21,X4)
        & memberP(sK20,X4)
        & ssItem(X4) )
   => ( ~ memberP(sK21,sK24)
      & memberP(sK20,sK24)
      & ssItem(sK24) ) ),
    introduced(choice_axiom,[]) ).

fof(f225,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ~ memberP(X1,X4)
                      & memberP(X0,X4)
                      & ssItem(X4) )
                  & ! [X5] :
                      ( ( ( ( ! [X6] :
                                ( ~ leq(X6,X5)
                                | ~ memberP(X3,X6)
                                | X5 = X6
                                | ~ ssItem(X6) )
                            & memberP(X3,X5) )
                          | ~ memberP(X2,X5) )
                        & sP0(X5,X3,X2) )
                      | ~ ssItem(X5) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(definition_folding,[],[f100,f224]) ).

fof(f224,plain,
    ! [X5,X3,X2] :
      ( ~ memberP(X3,X5)
      | ? [X7] :
          ( X5 != X7
          & leq(X7,X5)
          & memberP(X3,X7)
          & ssItem(X7) )
      | memberP(X2,X5)
      | ~ sP0(X5,X3,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f100,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ~ memberP(X1,X4)
                      & memberP(X0,X4)
                      & ssItem(X4) )
                  & ! [X5] :
                      ( ( ( ( ! [X6] :
                                ( ~ leq(X6,X5)
                                | ~ memberP(X3,X6)
                                | X5 = X6
                                | ~ ssItem(X6) )
                            & memberP(X3,X5) )
                          | ~ memberP(X2,X5) )
                        & ( ~ memberP(X3,X5)
                          | ? [X7] :
                              ( X5 != X7
                              & leq(X7,X5)
                              & memberP(X3,X7)
                              & ssItem(X7) )
                          | memberP(X2,X5) ) )
                      | ~ ssItem(X5) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f99]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ~ memberP(X1,X4)
                      & memberP(X0,X4)
                      & ssItem(X4) )
                  & ! [X5] :
                      ( ( ( ( ! [X6] :
                                ( ~ leq(X6,X5)
                                | ~ memberP(X3,X6)
                                | X5 = X6
                                | ~ ssItem(X6) )
                            & memberP(X3,X5) )
                          | ~ memberP(X2,X5) )
                        & ( ~ memberP(X3,X5)
                          | ? [X7] :
                              ( X5 != X7
                              & leq(X7,X5)
                              & memberP(X3,X7)
                              & ssItem(X7) )
                          | memberP(X2,X5) ) )
                      | ~ ssItem(X5) )
                  & 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)
                   => ( ! [X4] :
                          ( ssItem(X4)
                         => ( memberP(X1,X4)
                            | ~ memberP(X0,X4) ) )
                      | ? [X5] :
                          ( ( ( ( ? [X6] :
                                    ( leq(X6,X5)
                                    & memberP(X3,X6)
                                    & X5 != X6
                                    & ssItem(X6) )
                                | ~ memberP(X3,X5) )
                              & memberP(X2,X5) )
                            | ( memberP(X3,X5)
                              & ! [X7] :
                                  ( ssItem(X7)
                                 => ( X5 = X7
                                    | ~ leq(X7,X5)
                                    | ~ memberP(X3,X7) ) )
                              & ~ memberP(X2,X5) ) )
                          & ssItem(X5) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ! [X6] :
                          ( ssItem(X6)
                         => ( memberP(X1,X6)
                            | ~ memberP(X0,X6) ) )
                      | ? [X4] :
                          ( ( ( ( ? [X5] :
                                    ( leq(X5,X4)
                                    & memberP(X3,X5)
                                    & X4 != X5
                                    & ssItem(X5) )
                                | ~ memberP(X3,X4) )
                              & memberP(X2,X4) )
                            | ( memberP(X3,X4)
                              & ! [X5] :
                                  ( ssItem(X5)
                                 => ( X4 = X5
                                    | ~ leq(X5,X4)
                                    | ~ memberP(X3,X5) ) )
                              & ~ memberP(X2,X4) ) )
                          & ssItem(X4) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

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

fof(f681,plain,
    spl72_6,
    inference(avatar_split_clause,[],[f392,f679]) ).

fof(f679,plain,
    ( spl72_6
  <=> ! [X5] :
        ( sP0(X5,sK23,sK22)
        | ~ ssItem(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_6])]) ).

fof(f392,plain,
    ! [X5] :
      ( sP0(X5,sK23,sK22)
      | ~ ssItem(X5) ),
    inference(cnf_transformation,[],[f262]) ).

fof(f677,plain,
    spl72_5,
    inference(avatar_split_clause,[],[f616,f674]) ).

fof(f616,plain,
    memberP(sK22,sK24),
    inference(definition_unfolding,[],[f396,f391]) ).

fof(f391,plain,
    sK20 = sK22,
    inference(cnf_transformation,[],[f262]) ).

fof(f396,plain,
    memberP(sK20,sK24),
    inference(cnf_transformation,[],[f262]) ).

fof(f672,plain,
    ~ spl72_4,
    inference(avatar_split_clause,[],[f615,f669]) ).

fof(f615,plain,
    ~ memberP(sK23,sK24),
    inference(definition_unfolding,[],[f397,f390]) ).

fof(f390,plain,
    sK21 = sK23,
    inference(cnf_transformation,[],[f262]) ).

fof(f397,plain,
    ~ memberP(sK21,sK24),
    inference(cnf_transformation,[],[f262]) ).

fof(f667,plain,
    spl72_3,
    inference(avatar_split_clause,[],[f395,f664]) ).

fof(f395,plain,
    ssItem(sK24),
    inference(cnf_transformation,[],[f262]) ).

fof(f662,plain,
    spl72_2,
    inference(avatar_split_clause,[],[f389,f659]) ).

fof(f659,plain,
    ( spl72_2
  <=> ssList(sK23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_2])]) ).

fof(f389,plain,
    ssList(sK23),
    inference(cnf_transformation,[],[f262]) ).

fof(f657,plain,
    spl72_1,
    inference(avatar_split_clause,[],[f388,f654]) ).

fof(f654,plain,
    ( spl72_1
  <=> ssList(sK22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_1])]) ).

fof(f388,plain,
    ssList(sK22),
    inference(cnf_transformation,[],[f262]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWC406+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.35  % Computer : n010.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 300
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Tue Apr 30 04:04:05 EDT 2024
% 0.12/0.35  % CPUTime    : 
% 0.12/0.36  % (9663)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37  % (9666)WARNING: value z3 for option sas not known
% 0.20/0.38  % (9666)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.38  % (9665)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38  % (9667)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.38  % (9670)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.38  % (9669)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.38  % (9668)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_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.38  % (9664)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.39  % (9668)First to succeed.
% 0.20/0.39  % (9669)Also succeeded, but the first one will report.
% 0.20/0.39  % (9666)Also succeeded, but the first one will report.
% 0.20/0.39  % (9668)Refutation found. Thanks to Tanya!
% 0.20/0.39  % SZS status Theorem for theBenchmark
% 0.20/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39  % (9668)------------------------------
% 0.20/0.39  % (9668)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.39  % (9668)Termination reason: Refutation
% 0.20/0.39  
% 0.20/0.39  % (9668)Memory used [KB]: 1250
% 0.20/0.39  % (9668)Time elapsed: 0.011 s
% 0.20/0.39  % (9668)Instructions burned: 19 (million)
% 0.20/0.39  % (9668)------------------------------
% 0.20/0.39  % (9668)------------------------------
% 0.20/0.39  % (9663)Success in time 0.03 s
%------------------------------------------------------------------------------