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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : LCL670+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:59:57 AM UTC 2026

% Result   : Theorem 1.86s 0.79s
% Output   : Refutation 1.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   11
% Syntax   : Number of formulae    :  101 (  18 unt;   9 def)
%            Number of atoms       :  661 (   0 equ)
%            Maximal formula atoms :   49 (   6 avg)
%            Number of connectives : 1172 ( 612   ~; 485   |;  66   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   15 (  14 usr;  10 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-1 aty)
%            Number of variables   :  350 (   0 sgn 314   !;  36   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : r1(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).

fof(f2,conjecture,
    ~ ? [X0] :
        ~ ( ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ~ p4(X1) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ~ ( ~ ! [X0] :
                          ( ~ r1(X1,X0)
                          | ~ ! [X1] :
                                ( ~ r1(X0,X1)
                                | ! [X0] :
                                    ( ~ r1(X1,X0)
                                    | p3(X0) )
                                | ~ p2(X1) ) )
                    | ~ ! [X0] :
                          ( ~ r1(X1,X0)
                          | ~ ( ~ ! [X1] :
                                    ( ~ r1(X0,X1)
                                    | ~ ( ! [X0] :
                                            ( ~ r1(X1,X0)
                                            | p3(X0) )
                                        | ~ p2(X1) ) )
                              & p2(X0)
                              & ~ ! [X1] :
                                    ( ~ r1(X0,X1)
                                    | ~ ! [X0] :
                                          ( ~ r1(X1,X0)
                                          | ~ ! [X1] :
                                                ( ~ r1(X0,X1)
                                                | ~ p2(X1) ) ) ) ) )
                    | ( ~ ! [X0] :
                            ( ~ r1(X1,X0)
                            | ! [X1] :
                                ( ~ r1(X0,X1)
                                | ~ ! [X0] :
                                      ( ~ r1(X1,X0)
                                      | ! [X1] :
                                          ( ~ r1(X0,X1)
                                          | p3(X1) )
                                      | ~ p2(X0) ) ) )
                      & ! [X0] :
                          ( ~ r1(X1,X0)
                          | ~ ! [X1] :
                                ( ~ r1(X0,X1)
                                | ~ p2(X1) ) ) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ~ ( ~ ! [X0] :
                          ( ~ r1(X1,X0)
                          | ! [X1] :
                              ( ~ r1(X0,X1)
                              | p1(X1) ) )
                    & ! [X0] :
                        ( ~ r1(X1,X0)
                        | p1(X0) ) ) )
          | ! [X1] :
              ( ~ r1(X0,X1)
              | ! [X0] :
                  ( ~ r1(X1,X0)
                  | ~ ! [X1] :
                        ( ~ r1(X0,X1)
                        | p1(X1) ) )
              | ! [X0] :
                  ( ~ r1(X1,X0)
                  | p1(X0) ) )
          | ! [X1] :
              ( ~ r1(X0,X1)
              | ~ ! [X0] :
                    ( ~ r1(X1,X0)
                    | ~ ! [X1] :
                          ( ~ r1(X0,X1)
                          | p2(X1) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ! [X1] :
                        ( ~ r1(X0,X1)
                        | ~ p1(X1) ) )
                | ~ ! [X0] :
                      ( ~ r1(X1,X0)
                      | ~ p1(X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

fof(f3,negated_conjecture,
    ~ ~ ? [X0] :
          ~ ( ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ~ p4(X1) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ~ ( ~ ! [X0] :
                            ( ~ r1(X1,X0)
                            | ~ ! [X1] :
                                  ( ~ r1(X0,X1)
                                  | ! [X0] :
                                      ( ~ r1(X1,X0)
                                      | p3(X0) )
                                  | ~ p2(X1) ) )
                      | ~ ! [X0] :
                            ( ~ r1(X1,X0)
                            | ~ ( ~ ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | ~ ( ! [X0] :
                                              ( ~ r1(X1,X0)
                                              | p3(X0) )
                                          | ~ p2(X1) ) )
                                & p2(X0)
                                & ~ ! [X1] :
                                      ( ~ r1(X0,X1)
                                      | ~ ! [X0] :
                                            ( ~ r1(X1,X0)
                                            | ~ ! [X1] :
                                                  ( ~ r1(X0,X1)
                                                  | ~ p2(X1) ) ) ) ) )
                      | ( ~ ! [X0] :
                              ( ~ r1(X1,X0)
                              | ! [X1] :
                                  ( ~ r1(X0,X1)
                                  | ~ ! [X0] :
                                        ( ~ r1(X1,X0)
                                        | ! [X1] :
                                            ( ~ r1(X0,X1)
                                            | p3(X1) )
                                        | ~ p2(X0) ) ) )
                        & ! [X0] :
                            ( ~ r1(X1,X0)
                            | ~ ! [X1] :
                                  ( ~ r1(X0,X1)
                                  | ~ p2(X1) ) ) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ~ ( ~ ! [X0] :
                            ( ~ r1(X1,X0)
                            | ! [X1] :
                                ( ~ r1(X0,X1)
                                | p1(X1) ) )
                      & ! [X0] :
                          ( ~ r1(X1,X0)
                          | p1(X0) ) ) )
            | ! [X1] :
                ( ~ r1(X0,X1)
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | ~ ! [X1] :
                          ( ~ r1(X0,X1)
                          | p1(X1) ) )
                | ! [X0] :
                    ( ~ r1(X1,X0)
                    | p1(X0) ) )
            | ! [X1] :
                ( ~ r1(X0,X1)
                | ~ ! [X0] :
                      ( ~ r1(X1,X0)
                      | ~ ! [X1] :
                            ( ~ r1(X0,X1)
                            | p2(X1) ) ) )
            | ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ! [X0] :
                      ( ~ r1(X1,X0)
                      | ! [X1] :
                          ( ~ r1(X0,X1)
                          | ~ p1(X1) ) )
                  | ~ ! [X0] :
                        ( ~ r1(X1,X0)
                        | ~ p1(X0) ) ) ),
    inference(negated_conjecture,[status(cth)],[f2]) ).

fof(f4,plain,
    ~ ~ ? [X0] :
          ~ ( ~ ! [X1] :
                  ( ~ r1(X0,X1)
                  | ~ p4(X1) )
            | ~ ! [X2] :
                  ( ~ r1(X0,X2)
                  | ~ ( ~ ! [X3] :
                            ( ~ r1(X2,X3)
                            | ~ ! [X4] :
                                  ( ~ r1(X3,X4)
                                  | ! [X5] :
                                      ( ~ r1(X4,X5)
                                      | p3(X5) )
                                  | ~ p2(X4) ) )
                      | ~ ! [X6] :
                            ( ~ r1(X2,X6)
                            | ~ ( ~ ! [X7] :
                                      ( ~ r1(X6,X7)
                                      | ~ ( ! [X8] :
                                              ( ~ r1(X7,X8)
                                              | p3(X8) )
                                          | ~ p2(X7) ) )
                                & p2(X6)
                                & ~ ! [X9] :
                                      ( ~ r1(X6,X9)
                                      | ~ ! [X10] :
                                            ( ~ r1(X9,X10)
                                            | ~ ! [X11] :
                                                  ( ~ r1(X10,X11)
                                                  | ~ p2(X11) ) ) ) ) )
                      | ( ~ ! [X12] :
                              ( ~ r1(X2,X12)
                              | ! [X13] :
                                  ( ~ r1(X12,X13)
                                  | ~ ! [X14] :
                                        ( ~ r1(X13,X14)
                                        | ! [X15] :
                                            ( ~ r1(X14,X15)
                                            | p3(X15) )
                                        | ~ p2(X14) ) ) )
                        & ! [X16] :
                            ( ~ r1(X2,X16)
                            | ~ ! [X17] :
                                  ( ~ r1(X16,X17)
                                  | ~ p2(X17) ) ) ) ) )
            | ~ ! [X18] :
                  ( ~ r1(X0,X18)
                  | ~ ( ~ ! [X19] :
                            ( ~ r1(X18,X19)
                            | ! [X20] :
                                ( ~ r1(X19,X20)
                                | p1(X20) ) )
                      & ! [X21] :
                          ( ~ r1(X18,X21)
                          | p1(X21) ) ) )
            | ! [X22] :
                ( ~ r1(X0,X22)
                | ! [X23] :
                    ( ~ r1(X22,X23)
                    | ~ ! [X24] :
                          ( ~ r1(X23,X24)
                          | p1(X24) ) )
                | ! [X25] :
                    ( ~ r1(X22,X25)
                    | p1(X25) ) )
            | ! [X26] :
                ( ~ r1(X0,X26)
                | ~ ! [X27] :
                      ( ~ r1(X26,X27)
                      | ~ ! [X28] :
                            ( ~ r1(X27,X28)
                            | p2(X28) ) ) )
            | ~ ! [X29] :
                  ( ~ r1(X0,X29)
                  | ! [X30] :
                      ( ~ r1(X29,X30)
                      | ! [X31] :
                          ( ~ r1(X30,X31)
                          | ~ p1(X31) ) )
                  | ~ ! [X32] :
                        ( ~ r1(X29,X32)
                        | ~ p1(X32) ) ) ),
    inference(rectify,[],[f3]) ).

fof(f5,plain,
    ? [X0] :
      ~ ( ~ ! [X1] :
              ( ~ r1(X0,X1)
              | ~ p4(X1) )
        | ~ ! [X2] :
              ( ~ r1(X0,X2)
              | ~ ( ~ ! [X3] :
                        ( ~ r1(X2,X3)
                        | ~ ! [X4] :
                              ( ~ r1(X3,X4)
                              | ! [X5] :
                                  ( ~ r1(X4,X5)
                                  | p3(X5) )
                              | ~ p2(X4) ) )
                  | ~ ! [X6] :
                        ( ~ r1(X2,X6)
                        | ~ ( ~ ! [X7] :
                                  ( ~ r1(X6,X7)
                                  | ~ ( ! [X8] :
                                          ( ~ r1(X7,X8)
                                          | p3(X8) )
                                      | ~ p2(X7) ) )
                            & p2(X6)
                            & ~ ! [X9] :
                                  ( ~ r1(X6,X9)
                                  | ~ ! [X10] :
                                        ( ~ r1(X9,X10)
                                        | ~ ! [X11] :
                                              ( ~ r1(X10,X11)
                                              | ~ p2(X11) ) ) ) ) )
                  | ( ~ ! [X12] :
                          ( ~ r1(X2,X12)
                          | ! [X13] :
                              ( ~ r1(X12,X13)
                              | ~ ! [X14] :
                                    ( ~ r1(X13,X14)
                                    | ! [X15] :
                                        ( ~ r1(X14,X15)
                                        | p3(X15) )
                                    | ~ p2(X14) ) ) )
                    & ! [X16] :
                        ( ~ r1(X2,X16)
                        | ~ ! [X17] :
                              ( ~ r1(X16,X17)
                              | ~ p2(X17) ) ) ) ) )
        | ~ ! [X18] :
              ( ~ r1(X0,X18)
              | ~ ( ~ ! [X19] :
                        ( ~ r1(X18,X19)
                        | ! [X20] :
                            ( ~ r1(X19,X20)
                            | p1(X20) ) )
                  & ! [X21] :
                      ( ~ r1(X18,X21)
                      | p1(X21) ) ) )
        | ! [X22] :
            ( ~ r1(X0,X22)
            | ! [X23] :
                ( ~ r1(X22,X23)
                | ~ ! [X24] :
                      ( ~ r1(X23,X24)
                      | p1(X24) ) )
            | ! [X25] :
                ( ~ r1(X22,X25)
                | p1(X25) ) )
        | ! [X26] :
            ( ~ r1(X0,X26)
            | ~ ! [X27] :
                  ( ~ r1(X26,X27)
                  | ~ ! [X28] :
                        ( ~ r1(X27,X28)
                        | p2(X28) ) ) )
        | ~ ! [X29] :
              ( ~ r1(X0,X29)
              | ! [X30] :
                  ( ~ r1(X29,X30)
                  | ! [X31] :
                      ( ~ r1(X30,X31)
                      | ~ p1(X31) ) )
              | ~ ! [X32] :
                    ( ~ r1(X29,X32)
                    | ~ p1(X32) ) ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ? [X0] :
      ~ ( ~ ! [X1] :
              ( ~ r1(X0,X1)
              | ~ p4(X1) )
        | ~ ! [X2] :
              ( ~ r1(X0,X2)
              | ~ ( ~ ! [X3] :
                        ( ~ r1(X2,X3)
                        | ~ ! [X4] :
                              ( ~ r1(X3,X4)
                              | ! [X5] : ~ r1(X4,X5)
                              | ~ p2(X4) ) )
                  | ~ ! [X6] :
                        ( ~ r1(X2,X6)
                        | ~ ( ~ ! [X7] :
                                  ( ~ r1(X6,X7)
                                  | ~ ( ! [X8] : ~ r1(X7,X8)
                                      | ~ p2(X7) ) )
                            & p2(X6)
                            & ~ ! [X9] :
                                  ( ~ r1(X6,X9)
                                  | ~ ! [X10] :
                                        ( ~ r1(X9,X10)
                                        | ~ ! [X11] :
                                              ( ~ r1(X10,X11)
                                              | ~ p2(X11) ) ) ) ) )
                  | ( ~ ! [X12] :
                          ( ~ r1(X2,X12)
                          | ! [X13] :
                              ( ~ r1(X12,X13)
                              | ~ ! [X14] :
                                    ( ~ r1(X13,X14)
                                    | ! [X15] : ~ r1(X14,X15)
                                    | ~ p2(X14) ) ) )
                    & ! [X16] :
                        ( ~ r1(X2,X16)
                        | ~ ! [X17] :
                              ( ~ r1(X16,X17)
                              | ~ p2(X17) ) ) ) ) )
        | ~ ! [X18] :
              ( ~ r1(X0,X18)
              | ~ ( ~ ! [X19] :
                        ( ~ r1(X18,X19)
                        | ! [X20] :
                            ( ~ r1(X19,X20)
                            | p1(X20) ) )
                  & ! [X21] :
                      ( ~ r1(X18,X21)
                      | p1(X21) ) ) )
        | ! [X22] :
            ( ~ r1(X0,X22)
            | ! [X23] :
                ( ~ r1(X22,X23)
                | ~ ! [X24] :
                      ( ~ r1(X23,X24)
                      | p1(X24) ) )
            | ! [X25] :
                ( ~ r1(X22,X25)
                | p1(X25) ) )
        | ! [X26] :
            ( ~ r1(X0,X26)
            | ~ ! [X27] :
                  ( ~ r1(X26,X27)
                  | ~ ! [X28] :
                        ( ~ r1(X27,X28)
                        | p2(X28) ) ) )
        | ~ ! [X29] :
              ( ~ r1(X0,X29)
              | ! [X30] :
                  ( ~ r1(X29,X30)
                  | ! [X31] :
                      ( ~ r1(X30,X31)
                      | ~ p1(X31) ) )
              | ~ ! [X32] :
                    ( ~ r1(X29,X32)
                    | ~ p1(X32) ) ) ),
    inference(pure_predicate_removal,[],[f5]) ).

fof(f7,plain,
    ? [X0] :
      ~ ( ~ ! [X2] :
              ( ~ r1(X0,X2)
              | ~ ( ~ ! [X3] :
                        ( ~ r1(X2,X3)
                        | ~ ! [X4] :
                              ( ~ r1(X3,X4)
                              | ! [X5] : ~ r1(X4,X5)
                              | ~ p2(X4) ) )
                  | ~ ! [X6] :
                        ( ~ r1(X2,X6)
                        | ~ ( ~ ! [X7] :
                                  ( ~ r1(X6,X7)
                                  | ~ ( ! [X8] : ~ r1(X7,X8)
                                      | ~ p2(X7) ) )
                            & p2(X6)
                            & ~ ! [X9] :
                                  ( ~ r1(X6,X9)
                                  | ~ ! [X10] :
                                        ( ~ r1(X9,X10)
                                        | ~ ! [X11] :
                                              ( ~ r1(X10,X11)
                                              | ~ p2(X11) ) ) ) ) )
                  | ( ~ ! [X12] :
                          ( ~ r1(X2,X12)
                          | ! [X13] :
                              ( ~ r1(X12,X13)
                              | ~ ! [X14] :
                                    ( ~ r1(X13,X14)
                                    | ! [X15] : ~ r1(X14,X15)
                                    | ~ p2(X14) ) ) )
                    & ! [X16] :
                        ( ~ r1(X2,X16)
                        | ~ ! [X17] :
                              ( ~ r1(X16,X17)
                              | ~ p2(X17) ) ) ) ) )
        | ~ ! [X18] :
              ( ~ r1(X0,X18)
              | ~ ( ~ ! [X19] :
                        ( ~ r1(X18,X19)
                        | ! [X20] :
                            ( ~ r1(X19,X20)
                            | p1(X20) ) )
                  & ! [X21] :
                      ( ~ r1(X18,X21)
                      | p1(X21) ) ) )
        | ! [X22] :
            ( ~ r1(X0,X22)
            | ! [X23] :
                ( ~ r1(X22,X23)
                | ~ ! [X24] :
                      ( ~ r1(X23,X24)
                      | p1(X24) ) )
            | ! [X25] :
                ( ~ r1(X22,X25)
                | p1(X25) ) )
        | ! [X26] :
            ( ~ r1(X0,X26)
            | ~ ! [X27] :
                  ( ~ r1(X26,X27)
                  | ~ ! [X28] :
                        ( ~ r1(X27,X28)
                        | p2(X28) ) ) )
        | ~ ! [X29] :
              ( ~ r1(X0,X29)
              | ! [X30] :
                  ( ~ r1(X29,X30)
                  | ! [X31] :
                      ( ~ r1(X30,X31)
                      | ~ p1(X31) ) )
              | ~ ! [X32] :
                    ( ~ r1(X29,X32)
                    | ~ p1(X32) ) ) ),
    inference(pure_predicate_removal,[],[f6]) ).

fof(f8,plain,
    ? [X0] :
      ( ! [X2] :
          ( ~ r1(X0,X2)
          | ( ! [X3] :
                ( ~ r1(X2,X3)
                | ? [X4] :
                    ( r1(X3,X4)
                    & ? [X5] : r1(X4,X5)
                    & p2(X4) ) )
            & ! [X6] :
                ( ~ r1(X2,X6)
                | ! [X7] :
                    ( ~ r1(X6,X7)
                    | ( ? [X8] : r1(X7,X8)
                      & p2(X7) ) )
                | ~ p2(X6)
                | ! [X9] :
                    ( ~ r1(X6,X9)
                    | ? [X10] :
                        ( r1(X9,X10)
                        & ! [X11] :
                            ( ~ r1(X10,X11)
                            | ~ p2(X11) ) ) ) )
            & ( ! [X12] :
                  ( ~ r1(X2,X12)
                  | ! [X13] :
                      ( ~ r1(X12,X13)
                      | ? [X14] :
                          ( r1(X13,X14)
                          & ? [X15] : r1(X14,X15)
                          & p2(X14) ) ) )
              | ? [X16] :
                  ( r1(X2,X16)
                  & ! [X17] :
                      ( ~ r1(X16,X17)
                      | ~ p2(X17) ) ) ) ) )
      & ! [X18] :
          ( ~ r1(X0,X18)
          | ! [X19] :
              ( ~ r1(X18,X19)
              | ! [X20] :
                  ( ~ r1(X19,X20)
                  | p1(X20) ) )
          | ? [X21] :
              ( r1(X18,X21)
              & ~ p1(X21) ) )
      & ? [X22] :
          ( r1(X0,X22)
          & ? [X23] :
              ( r1(X22,X23)
              & ! [X24] :
                  ( ~ r1(X23,X24)
                  | p1(X24) ) )
          & ? [X25] :
              ( r1(X22,X25)
              & ~ p1(X25) ) )
      & ? [X26] :
          ( r1(X0,X26)
          & ! [X27] :
              ( ~ r1(X26,X27)
              | ? [X28] :
                  ( r1(X27,X28)
                  & ~ p2(X28) ) ) )
      & ! [X29] :
          ( ~ r1(X0,X29)
          | ! [X30] :
              ( ~ r1(X29,X30)
              | ! [X31] :
                  ( ~ r1(X30,X31)
                  | ~ p1(X31) ) )
          | ? [X32] :
              ( r1(X29,X32)
              & p1(X32) ) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f9,plain,
    ? [X0] :
      ( ! [X2] :
          ( ~ r1(X0,X2)
          | ( ! [X3] :
                ( ~ r1(X2,X3)
                | ? [X4] :
                    ( r1(X3,X4)
                    & ? [X5] : r1(X4,X5)
                    & p2(X4) ) )
            & ! [X6] :
                ( ~ r1(X2,X6)
                | ! [X7] :
                    ( ~ r1(X6,X7)
                    | ( ? [X8] : r1(X7,X8)
                      & p2(X7) ) )
                | ~ p2(X6)
                | ! [X9] :
                    ( ~ r1(X6,X9)
                    | ? [X10] :
                        ( r1(X9,X10)
                        & ! [X11] :
                            ( ~ r1(X10,X11)
                            | ~ p2(X11) ) ) ) )
            & ( ! [X12] :
                  ( ~ r1(X2,X12)
                  | ! [X13] :
                      ( ~ r1(X12,X13)
                      | ? [X14] :
                          ( r1(X13,X14)
                          & ? [X15] : r1(X14,X15)
                          & p2(X14) ) ) )
              | ? [X16] :
                  ( r1(X2,X16)
                  & ! [X17] :
                      ( ~ r1(X16,X17)
                      | ~ p2(X17) ) ) ) ) )
      & ! [X18] :
          ( ~ r1(X0,X18)
          | ! [X19] :
              ( ~ r1(X18,X19)
              | ! [X20] :
                  ( ~ r1(X19,X20)
                  | p1(X20) ) )
          | ? [X21] :
              ( r1(X18,X21)
              & ~ p1(X21) ) )
      & ? [X22] :
          ( r1(X0,X22)
          & ? [X23] :
              ( r1(X22,X23)
              & ! [X24] :
                  ( ~ r1(X23,X24)
                  | p1(X24) ) )
          & ? [X25] :
              ( r1(X22,X25)
              & ~ p1(X25) ) )
      & ? [X26] :
          ( r1(X0,X26)
          & ! [X27] :
              ( ~ r1(X26,X27)
              | ? [X28] :
                  ( r1(X27,X28)
                  & ~ p2(X28) ) ) )
      & ! [X29] :
          ( ~ r1(X0,X29)
          | ! [X30] :
              ( ~ r1(X29,X30)
              | ! [X31] :
                  ( ~ r1(X30,X31)
                  | ~ p1(X31) ) )
          | ? [X32] :
              ( r1(X29,X32)
              & p1(X32) ) ) ),
    inference(flattening,[],[f8]) ).

fof(f10,plain,
    ! [X0] : r1(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f11,plain,
    ! [X2,X11,X6,X9,X7] :
      ( ~ r1(sK10(X9),X11)
      | ~ p2(X11)
      | ~ r1(X6,X9)
      | ~ p2(X6)
      | p2(X7)
      | ~ r1(X6,X7)
      | ~ r1(X2,X6)
      | ~ r1(sK0,X2) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f13,plain,
    ! [X2,X17,X12,X13] :
      ( ~ p2(X17)
      | ~ r1(sK8(X2),X17)
      | p2(sK12(X13))
      | ~ r1(X12,X13)
      | ~ r1(X2,X12)
      | ~ r1(sK0,X2) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f15,plain,
    ! [X2,X17,X12,X13] :
      ( ~ r1(sK8(X2),X17)
      | ~ p2(X17)
      | r1(X13,sK12(X13))
      | ~ r1(X12,X13)
      | ~ r1(X2,X12)
      | ~ r1(sK0,X2) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f16,plain,
    ! [X2,X12,X13] :
      ( ~ r1(sK0,X2)
      | p2(sK12(X13))
      | ~ r1(X12,X13)
      | ~ r1(X2,X12)
      | r1(X2,sK8(X2)) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f18,plain,
    ! [X2,X12,X13] :
      ( ~ r1(sK0,X2)
      | r1(X13,sK12(X13))
      | ~ r1(X12,X13)
      | ~ r1(X2,X12)
      | r1(X2,sK8(X2)) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f20,plain,
    ! [X2,X6,X9,X7] :
      ( ~ p2(X6)
      | ~ r1(X6,X9)
      | r1(X9,sK10(X9))
      | p2(X7)
      | ~ r1(X6,X7)
      | ~ r1(X2,X6)
      | ~ r1(sK0,X2) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f21,plain,
    ! [X2,X3] :
      ( ~ r1(sK0,X2)
      | ~ r1(X2,X3)
      | p2(sK9(X3)) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f23,plain,
    ! [X2,X3] :
      ( ~ r1(sK0,X2)
      | ~ r1(X2,X3)
      | r1(X3,sK9(X3)) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f27,plain,
    ! [X27] :
      ( ~ p2(sK7(X27))
      | ~ r1(sK1,X27) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f28,plain,
    ! [X27] :
      ( r1(X27,sK7(X27))
      | ~ r1(sK1,X27) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f35,plain,
    r1(sK0,sK1),
    inference(cnf_transformation,[],[f9]) ).

fof(f47,plain,
    ! [X0] :
      ( p2(sK9(X0))
      | ~ r1(sK1,X0) ),
    inference(resolution,[],[f21,f35]) ).

fof(f58,plain,
    ! [X0] :
      ( ~ r1(sK1,X0)
      | r1(X0,sK9(X0)) ),
    inference(resolution,[],[f23,f35]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( p2(sK12(X0))
      | ~ r1(X1,X0)
      | ~ r1(sK1,X1)
      | r1(sK1,sK8(sK1)) ),
    inference(resolution,[],[f16,f35]) ).

fof(f102,definition,
    ( spl15_13
  <=> r1(sK1,sK8(sK1)) ),
    introduced(definition,[new_symbols(definition,[spl15_13])],[avatar_definition]) ).

fof(f104,plain,
    ( r1(sK1,sK8(sK1))
    | ~ spl15_13 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f106,definition,
    ( spl15_14
  <=> ! [X0,X1] :
        ( p2(sK12(X0))
        | ~ r1(sK1,X1)
        | ~ r1(X1,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl15_14])],[avatar_definition]) ).

fof(f107,plain,
    ( ! [X0,X1] :
        ( ~ r1(sK1,X1)
        | p2(sK12(X0))
        | ~ r1(X1,X0) )
    | ~ spl15_14 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f108,plain,
    ( spl15_13
    | spl15_14 ),
    inference(avatar_split_clause,[],[f99,f106,f102]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( r1(X0,sK12(X0))
      | ~ r1(X1,X0)
      | ~ r1(sK1,X1)
      | r1(sK1,sK8(sK1)) ),
    inference(resolution,[],[f18,f35]) ).

fof(f121,definition,
    ( spl15_17
  <=> ! [X0,X1] :
        ( r1(X0,sK12(X0))
        | ~ r1(sK1,X1)
        | ~ r1(X1,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl15_17])],[avatar_definition]) ).

fof(f122,plain,
    ( ! [X0,X1] :
        ( ~ r1(sK1,X1)
        | r1(X0,sK12(X0))
        | ~ r1(X1,X0) )
    | ~ spl15_17 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f123,plain,
    ( spl15_13
    | spl15_17 ),
    inference(avatar_split_clause,[],[f118,f121,f102]) ).

fof(f132,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r1(sK8(X1),sK9(X0))
      | ~ r1(sK1,X0)
      | p2(sK12(X2))
      | ~ r1(X3,X2)
      | ~ r1(X1,X3)
      | ~ r1(sK0,X1) ),
    inference(resolution,[],[f47,f13]) ).

fof(f135,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r1(sK1,X0)
      | r1(X1,sK10(X1))
      | p2(X2)
      | ~ r1(sK9(X0),X2)
      | ~ r1(X3,sK9(X0))
      | ~ r1(sK0,X3)
      | ~ r1(sK9(X0),X1) ),
    inference(resolution,[],[f20,f47]) ).

fof(f145,plain,
    ! [X0] :
      ( p2(sK9(X0))
      | ~ r1(sK0,X0) ),
    inference(resolution,[],[f10,f21]) ).

fof(f260,plain,
    ( r1(sK8(sK1),sK9(sK8(sK1)))
    | ~ spl15_13 ),
    inference(resolution,[],[f58,f104]) ).

fof(f262,plain,
    r1(sK1,sK9(sK1)),
    inference(resolution,[],[f58,f10]) ).

fof(f386,plain,
    ( ! [X0,X1] :
        ( ~ p2(sK9(sK8(sK1)))
        | r1(X0,sK12(X0))
        | ~ r1(X1,X0)
        | ~ r1(sK1,X1)
        | ~ r1(sK0,sK1) )
    | ~ spl15_13 ),
    inference(resolution,[],[f260,f15]) ).

fof(f387,plain,
    ( ! [X0,X1] :
        ( ~ p2(sK9(sK8(sK1)))
        | r1(X0,sK12(X0))
        | ~ r1(X1,X0)
        | ~ r1(sK1,X1) )
    | ~ spl15_13 ),
    inference(forward_subsumption_resolution,[],[f386,f35]) ).

fof(f390,definition,
    ( spl15_47
  <=> p2(sK9(sK8(sK1))) ),
    introduced(definition,[new_symbols(definition,[spl15_47])],[avatar_definition]) ).

fof(f392,plain,
    ( ~ p2(sK9(sK8(sK1)))
    | spl15_47 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f393,plain,
    ( spl15_17
    | ~ spl15_47
    | ~ spl15_13 ),
    inference(avatar_split_clause,[],[f387,f102,f390,f121]) ).

fof(f402,plain,
    ( ~ r1(sK1,sK8(sK1))
    | spl15_47 ),
    inference(resolution,[],[f392,f47]) ).

fof(f407,plain,
    ( ~ spl15_13
    | spl15_47 ),
    inference(avatar_split_clause,[],[f402,f390,f102]) ).

fof(f409,plain,
    ( ! [X0] :
        ( ~ r1(sK9(sK1),X0)
        | p2(sK12(X0)) )
    | ~ spl15_14 ),
    inference(resolution,[],[f107,f262]) ).

fof(f414,plain,
    ( ! [X0] :
        ( ~ r1(sK9(sK1),X0)
        | r1(X0,sK12(X0)) )
    | ~ spl15_17 ),
    inference(resolution,[],[f122,f262]) ).

fof(f983,plain,
    ! [X2,X0,X1] :
      ( r1(X0,sK10(X0))
      | p2(X1)
      | ~ r1(sK9(sK1),X1)
      | ~ r1(X2,sK9(sK1))
      | ~ r1(sK0,X2)
      | ~ r1(sK9(sK1),X0) ),
    inference(resolution,[],[f135,f10]) ).

fof(f985,definition,
    ( spl15_99
  <=> ! [X2] :
        ( ~ r1(X2,sK9(sK1))
        | ~ r1(sK0,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl15_99])],[avatar_definition]) ).

fof(f986,plain,
    ( ! [X2] :
        ( ~ r1(X2,sK9(sK1))
        | ~ r1(sK0,X2) )
    | ~ spl15_99 ),
    inference(avatar_component_clause,[],[f985]) ).

fof(f988,definition,
    ( spl15_100
  <=> ! [X1] :
        ( p2(X1)
        | ~ r1(sK9(sK1),X1) ) ),
    introduced(definition,[new_symbols(definition,[spl15_100])],[avatar_definition]) ).

fof(f989,plain,
    ( ! [X1] :
        ( ~ r1(sK9(sK1),X1)
        | p2(X1) )
    | ~ spl15_100 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f991,definition,
    ( spl15_101
  <=> ! [X0] :
        ( r1(X0,sK10(X0))
        | ~ r1(sK9(sK1),X0) ) ),
    introduced(definition,[new_symbols(definition,[spl15_101])],[avatar_definition]) ).

fof(f992,plain,
    ( ! [X0] :
        ( ~ r1(sK9(sK1),X0)
        | r1(X0,sK10(X0)) )
    | ~ spl15_101 ),
    inference(avatar_component_clause,[],[f991]) ).

fof(f993,plain,
    ( spl15_99
    | spl15_100
    | spl15_101 ),
    inference(avatar_split_clause,[],[f983,f991,f988,f985]) ).

fof(f2152,plain,
    ( ~ r1(sK0,sK1)
    | ~ spl15_99 ),
    inference(resolution,[],[f986,f262]) ).

fof(f2153,plain,
    ( $false
    | ~ spl15_99 ),
    inference(forward_subsumption_resolution,[],[f2152,f35]) ).

fof(f2154,plain,
    ~ spl15_99,
    inference(avatar_contradiction_clause,[],[f2153]) ).

fof(f2739,plain,
    ( r1(sK9(sK1),sK10(sK9(sK1)))
    | ~ spl15_101 ),
    inference(resolution,[],[f992,f10]) ).

fof(f3465,plain,
    ( r1(sK10(sK9(sK1)),sK12(sK10(sK9(sK1))))
    | ~ spl15_17
    | ~ spl15_101 ),
    inference(resolution,[],[f2739,f414]) ).

fof(f3467,plain,
    ( p2(sK12(sK10(sK9(sK1))))
    | ~ spl15_14
    | ~ spl15_101 ),
    inference(resolution,[],[f2739,f409]) ).

fof(f6672,definition,
    ( spl15_898
  <=> ! [X2,X0,X1] :
        ( ~ r1(X0,sK9(sK1))
        | ~ r1(sK0,X2)
        | ~ r1(X2,X0)
        | ~ r1(X0,X1)
        | p2(X1)
        | ~ p2(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl15_898])],[avatar_definition]) ).

fof(f6673,plain,
    ( ! [X2,X0,X1] :
        ( ~ r1(X0,sK9(sK1))
        | ~ r1(sK0,X2)
        | ~ r1(X2,X0)
        | ~ r1(X0,X1)
        | p2(X1)
        | ~ p2(X0) )
    | ~ spl15_898 ),
    inference(avatar_component_clause,[],[f6672]) ).

fof(f6684,plain,
    ( ! [X2,X0,X1] :
        ( ~ p2(sK12(sK10(sK9(sK1))))
        | ~ r1(X0,sK9(sK1))
        | ~ p2(X0)
        | p2(X1)
        | ~ r1(X0,X1)
        | ~ r1(X2,X0)
        | ~ r1(sK0,X2) )
    | ~ spl15_17
    | ~ spl15_101 ),
    inference(resolution,[],[f3465,f11]) ).

fof(f6685,plain,
    ( ! [X2,X0,X1] :
        ( ~ r1(X0,sK9(sK1))
        | ~ p2(X0)
        | p2(X1)
        | ~ r1(X0,X1)
        | ~ r1(X2,X0)
        | ~ r1(sK0,X2) )
    | ~ spl15_14
    | ~ spl15_17
    | ~ spl15_101 ),
    inference(forward_subsumption_resolution,[],[f6684,f3467]) ).

fof(f6687,plain,
    ( spl15_898
    | ~ spl15_14
    | ~ spl15_17
    | ~ spl15_101 ),
    inference(avatar_split_clause,[],[f6685,f991,f121,f106,f6672]) ).

fof(f13097,plain,
    ( ! [X0,X1] :
        ( ~ r1(sK0,X0)
        | ~ r1(X0,sK9(sK1))
        | ~ r1(sK9(sK1),X1)
        | p2(X1)
        | ~ p2(sK9(sK1)) )
    | ~ spl15_898 ),
    inference(resolution,[],[f6673,f10]) ).

fof(f13111,definition,
    ( spl15_1770
  <=> p2(sK9(sK1)) ),
    introduced(definition,[new_symbols(definition,[spl15_1770])],[avatar_definition]) ).

fof(f13113,plain,
    ( ~ p2(sK9(sK1))
    | spl15_1770 ),
    inference(avatar_component_clause,[],[f13111]) ).

fof(f13114,plain,
    ( ~ spl15_1770
    | spl15_100
    | spl15_99
    | ~ spl15_898 ),
    inference(avatar_split_clause,[],[f13097,f6672,f985,f988,f13111]) ).

fof(f13115,plain,
    ( ~ r1(sK0,sK1)
    | spl15_1770 ),
    inference(resolution,[],[f13113,f145]) ).

fof(f13121,plain,
    ( $false
    | spl15_1770 ),
    inference(forward_subsumption_resolution,[],[f13115,f35]) ).

fof(f13122,plain,
    spl15_1770,
    inference(avatar_contradiction_clause,[],[f13121]) ).

fof(f13131,plain,
    ( p2(sK7(sK9(sK1)))
    | ~ r1(sK1,sK9(sK1))
    | ~ spl15_100 ),
    inference(resolution,[],[f989,f28]) ).

fof(f13134,plain,
    ( ~ r1(sK1,sK9(sK1))
    | ~ spl15_100 ),
    inference(forward_subsumption_resolution,[],[f13131,f27]) ).

fof(f13144,plain,
    ( $false
    | ~ spl15_100 ),
    inference(forward_subsumption_resolution,[],[f13134,f262]) ).

fof(f13145,plain,
    ~ spl15_100,
    inference(avatar_contradiction_clause,[],[f13144]) ).

fof(f13190,plain,
    ( ! [X0,X1] :
        ( ~ r1(sK1,sK8(sK1))
        | p2(sK12(X0))
        | ~ r1(X1,X0)
        | ~ r1(sK1,X1)
        | ~ r1(sK0,sK1) )
    | ~ spl15_13 ),
    inference(resolution,[],[f260,f132]) ).

fof(f13195,plain,
    ( ! [X0,X1] :
        ( p2(sK12(X0))
        | ~ r1(X1,X0)
        | ~ r1(sK1,X1)
        | ~ r1(sK0,sK1) )
    | ~ spl15_13 ),
    inference(forward_subsumption_resolution,[],[f13190,f16]) ).

fof(f13202,plain,
    ( ! [X0,X1] :
        ( p2(sK12(X0))
        | ~ r1(X1,X0)
        | ~ r1(sK1,X1) )
    | ~ spl15_13 ),
    inference(forward_subsumption_resolution,[],[f13195,f35]) ).

fof(f13208,plain,
    ( spl15_14
    | ~ spl15_13 ),
    inference(avatar_split_clause,[],[f13202,f102,f106]) ).

cnf(s8,plain,
    ( spl15_13
    | spl15_14 ),
    inference(sat_conversion,[],[f108]) ).

cnf(s10,plain,
    ( spl15_13
    | spl15_17 ),
    inference(sat_conversion,[],[f123]) ).

cnf(s43,plain,
    ( ~ spl15_13
    | spl15_17
    | ~ spl15_47 ),
    inference(sat_conversion,[],[f393]) ).

cnf(s47,plain,
    ( ~ spl15_13
    | spl15_47 ),
    inference(sat_conversion,[],[f407]) ).

cnf(s118,plain,
    ( spl15_99
    | spl15_100
    | spl15_101 ),
    inference(sat_conversion,[],[f993]) ).

cnf(s286,plain,
    ~ spl15_99,
    inference(sat_conversion,[],[f2154]) ).

cnf(s980,plain,
    ( ~ spl15_14
    | ~ spl15_17
    | ~ spl15_101
    | spl15_898 ),
    inference(sat_conversion,[],[f6687]) ).

cnf(s1913,plain,
    ( spl15_99
    | spl15_100
    | ~ spl15_898
    | ~ spl15_1770 ),
    inference(sat_conversion,[],[f13114]) ).

cnf(s1916,plain,
    spl15_1770,
    inference(sat_conversion,[],[f13122]) ).

cnf(s1921,plain,
    ~ spl15_100,
    inference(sat_conversion,[],[f13145]) ).

cnf(s1936,plain,
    ( ~ spl15_13
    | spl15_14 ),
    inference(sat_conversion,[],[f13208]) ).

cnf(s1937,plain,
    ( spl15_99
    | ~ spl15_898 ),
    inference(rat,[],[s1913,s1916,s1921]) ).

cnf(s1947,plain,
    ~ spl15_898,
    inference(rat,[],[s1937,s286]) ).

cnf(s1975,plain,
    spl15_101,
    inference(rat,[],[s118,s1921,s286]) ).

cnf(s1985,plain,
    spl15_13,
    inference(rat,[],[s980,s8,s10,s1975,s1947]) ).

cnf(s1986,plain,
    spl15_14,
    inference(rat,[],[s1936,s1985]) ).

cnf(s1987,plain,
    spl15_47,
    inference(rat,[],[s47,s1985]) ).

cnf(s1988,plain,
    ~ spl15_17,
    inference(rat,[],[s980,s1947,s1975,s1986]) ).

cnf(s1993,plain,
    $false,
    inference(rat,[],[s43,s1985,s1988,s1987]) ).

fof(f13209,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1993]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL670+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38  % Computer : n002.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 16:30:51 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41  Running first-order model finding
% 0.11/0.41  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.86/0.79  % (3719913)Will run a generic schedule for satisfiability detection.
% 1.86/0.79  % (3719928)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3327537186:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.86/0.79  % (3719924)% WARNING: option uhcvi not known.
% 1.86/0.79  % (3719924)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3113091509:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.86/0.79  % (3719927)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1396301084:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.86/0.79  % (3719926)dis+10_1_sil=32000:sp=arity:random_seed=87827521:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.86/0.79  % (3719925)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4137415068:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.86/0.79  % (3719929)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2259518054:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.86/0.79  % (3719923)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=747657774_2999 on theBenchmark for (2999ds/0Mi)
% 1.86/0.79  % TRYING [1]
% 1.86/0.79  % TRYING [2]
% 1.86/0.79  % TRYING [3]
% 1.86/0.79  % TRYING [4]
% 1.86/0.79  % TRYING [5]
% 1.86/0.79  % (3719928)Instruction limit reached! 
% 1.86/0.79  % (3719928)------------------------------
% 1.86/0.79  % (3719928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.79  % (3719928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.79  % (3719928)CaDiCaL version: 2.1.3
% 1.86/0.79  % (3719928)Termination reason: Instruction limit
% 1.86/0.79  % (3719928)Termination phase: Saturation
% 1.86/0.79  % (3719928)Time elapsed: 0.044 s
% 1.86/0.79  % (3719928)Peak memory usage: 14 MB
% 1.86/0.79  % (3719928)Instructions burned: 134 (million)
% 1.86/0.79  % (3719943)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=491919682:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.86/0.79  % TRYING [1]
% 1.86/0.79  % TRYING [2]
% 1.86/0.79  % TRYING [3]
% 1.86/0.79  % TRYING [4]
% 1.86/0.79  % TRYING [5]
% 1.86/0.79  % (3719927)Instruction limit reached! 
% 1.86/0.79  % (3719927)------------------------------
% 1.86/0.79  % (3719927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.79  % (3719927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.79  % (3719927)CaDiCaL version: 2.1.3
% 1.86/0.79  % (3719927)Termination reason: Instruction limit
% 1.86/0.79  % (3719927)Termination phase: Saturation
% 1.86/0.79  % (3719927)Time elapsed: 0.061 s
% 1.86/0.79  % (3719927)Peak memory usage: 12 MB
% 1.86/0.79  % (3719927)Instructions burned: 116 (million)
% 1.86/0.79  % (3719926)Instruction limit reached! 
% 1.86/0.79  % (3719926)------------------------------
% 1.86/0.79  % (3719926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.79  % (3719926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.79  % (3719926)CaDiCaL version: 2.1.3
% 1.86/0.79  % (3719926)Termination reason: Instruction limit
% 1.86/0.79  % (3719926)Termination phase: Saturation
% 1.86/0.79  % (3719926)Time elapsed: 0.065 s
% 1.86/0.79  % (3719926)Peak memory usage: 13 MB
% 1.86/0.79  % (3719926)Instructions burned: 104 (million)
% 1.86/0.79  % TRYING [6]
% 1.86/0.79  % TRYING [6]
% 1.86/0.79  % (3719945)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=573525258:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.86/0.79  % (3719929)Instruction limit reached! 
% 1.86/0.79  % (3719929)------------------------------
% 1.86/0.79  % (3719929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.79  % (3719929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.79  % (3719929)CaDiCaL version: 2.1.3
% 1.86/0.79  % (3719929)Termination reason: Instruction limit
% 1.86/0.79  % (3719929)Termination phase: Saturation
% 1.86/0.79  % (3719929)Time elapsed: 0.083 s
% 1.86/0.79  % (3719929)Peak memory usage: 12 MB
% 1.86/0.79  % (3719929)Instructions burned: 159 (million)
% 1.86/0.79  % (3719946)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3493730922:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.86/0.79  % (3719948)ott-21_1_sil=16000:fs=off:random_seed=3120445504:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.86/0.79  % TRYING [7]
% 1.86/0.79  % (3719945)Instruction limit reached! 
% 1.86/0.79  % (3719945)------------------------------
% 1.86/0.79  % (3719945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.79  % (3719945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.79  % (3719945)CaDiCaL version: 2.1.3
% 1.86/0.79  % (3719945)Termination reason: Instruction limit
% 1.86/0.79  % (3719945)Termination phase: Saturation
% 1.86/0.79  % (3719945)Time elapsed: 0.076 s
% 1.86/0.79  % (3719945)Peak memory usage: 13 MB
% 1.86/0.79  % (3719945)Instructions burned: 132 (million)
% 1.86/0.79  % (3719951)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2293405856:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.86/0.79  % TRYING [7]
% 1.86/0.79  % TRYING [8]
% 1.86/0.79  % (3719948)Instruction limit reached! 
% 1.86/0.79  % (3719948)------------------------------
% 1.86/0.79  % (3719948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.79  % (3719948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.79  % (3719948)CaDiCaL version: 2.1.3
% 1.86/0.79  % (3719948)Termination reason: Instruction limit
% 1.86/0.79  % (3719948)Termination phase: Saturation
% 1.86/0.79  % (3719948)Time elapsed: 0.093 s
% 1.86/0.79  % (3719948)Peak memory usage: 13 MB
% 1.86/0.79  % (3719948)Instructions burned: 182 (million)
% 1.86/0.79  % (3719953)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3586847836:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.86/0.79  % TRYING [1]
% 1.86/0.79  % TRYING [2]
% 1.86/0.79  % TRYING [3]
% 1.86/0.79  % TRYING [4]
% 1.86/0.79  % TRYING [5]
% 1.86/0.79  % TRYING [6]
% 1.86/0.79  % (3719943)Instruction limit reached! 
% 1.86/0.79  % (3719943)------------------------------
% 1.86/0.79  % (3719943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.79  % (3719943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.79  % (3719943)CaDiCaL version: 2.1.3
% 1.86/0.79  % (3719943)Termination reason: Instruction limit
% 1.86/0.79  % (3719943)Termination phase: Finite model building SAT solving
% 1.86/0.79  % (3719943)Time elapsed: 0.217 s
% 1.86/0.79  % (3719943)Peak memory usage: 13 MB
% 1.86/0.79  % (3719943)Instructions burned: 717 (million)
% 1.86/0.79  % (3719959)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2293847459:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.86/0.79  % TRYING [7]
% 1.86/0.79  % (3719924) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3719913-3719924"...
% 1.86/0.79  % (3719924)...printing done.
% 1.86/0.79  % (3719924)Refutation found. Thanks to Tanya!
% 1.86/0.79  % SZS status Theorem for theBenchmark
% 1.86/0.79  % SZS output start Proof for theBenchmark
% See solution above
% 1.86/0.80  % (3719924)------------------------------
% 1.86/0.80  % (3719924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.80  % (3719924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.80  % (3719924)CaDiCaL version: 2.1.3
% 1.86/0.80  % (3719924)Termination reason: Refutation
% 1.86/0.80  % (3719924)Time elapsed: 0.344 s
% 1.86/0.80  % (3719924)Peak memory usage: 19 MB
% 1.86/0.80  % (3719924)Instructions burned: 602 (million)
% 1.86/0.80  % (3719913)Success in time 0.376 s
% 1.86/0.80  % Vampire exiting
%------------------------------------------------------------------------------