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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC264+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 01:03:12 PM UTC 2026

% Result   : Theorem 3.10s 1.10s
% Output   : Refutation 3.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   49 (   7 unt;   0 def)
%            Number of atoms       :  329 (  35 equ)
%            Maximal formula atoms :   17 (   6 avg)
%            Number of connectives :  469 ( 189   ~; 188   |;  62   &)
%                                         (   8 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   9 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   4 con; 0-2 aty)
%            Number of variables   :  143 ( 119   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( totalorderedP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => leq(X1,X2) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).

fof(f12,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( strictorderedP(X0)
      <=> ! [X1] :
            ( ssItem(X1)
           => ! [X2] :
                ( ssItem(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                             => lt(X1,X2) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).

fof(f93,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( lt(X0,X1)
          <=> ( X0 != X1
              & leq(X0,X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax93) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ~ ssList(X3)
                  | X1 != X3
                  | X0 != X2
                  | ~ strictorderedP(X2)
                  | totalorderedP(X0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ~ ssList(X3)
                    | X1 != X3
                    | X0 != X2
                    | ~ strictorderedP(X2)
                    | totalorderedP(X0) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f98,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ssList(X3)
                  & X1 = X3
                  & X0 = X2
                  & strictorderedP(X2)
                  & ~ totalorderedP(X0) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f101,plain,
    ! [X0] :
      ( ( totalorderedP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( leq(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f102,plain,
    ! [X0] :
      ( ( totalorderedP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( leq(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f101]) ).

fof(f105,plain,
    ! [X0] :
      ( ( strictorderedP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( lt(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f106,plain,
    ! [X0] :
      ( ( strictorderedP(X0)
      <=> ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( lt(X1,X2)
                            | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                            | ~ ssList(X5) )
                        | ~ ssList(X4) )
                    | ~ ssList(X3) )
                | ~ ssItem(X2) )
            | ~ ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f105]) ).

fof(f137,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( lt(X0,X1)
          <=> ( X0 != X1
              & leq(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f147,plain,
    ( ssList(sK3)
    & sK1 = sK3
    & sK0 = sK2
    & strictorderedP(sK2)
    & ~ totalorderedP(sK0)
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f98]) ).

fof(f150,plain,
    ! [X0] :
      ( ( ( totalorderedP(X0)
          | ? [X1] :
              ( ? [X2] :
                  ( ? [X3] :
                      ( ? [X4] :
                          ( ? [X5] :
                              ( ~ leq(X1,X2)
                              & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                              & ssList(X5) )
                          & ssList(X4) )
                      & ssList(X3) )
                  & ssItem(X2) )
              & ssItem(X1) ) )
        & ( ! [X1] :
              ( ! [X2] :
                  ( ! [X3] :
                      ( ! [X4] :
                          ( ! [X5] :
                              ( leq(X1,X2)
                              | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                              | ~ ssList(X5) )
                          | ~ ssList(X4) )
                      | ~ ssList(X3) )
                  | ~ ssItem(X2) )
              | ~ ssItem(X1) )
          | ~ totalorderedP(X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f102]) ).

fof(f151,plain,
    ! [X0] :
      ( ( ( totalorderedP(X0)
          | ? [X1] :
              ( ? [X2] :
                  ( ? [X3] :
                      ( ? [X4] :
                          ( ? [X5] :
                              ( ~ leq(X1,X2)
                              & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                              & ssList(X5) )
                          & ssList(X4) )
                      & ssList(X3) )
                  & ssItem(X2) )
              & ssItem(X1) ) )
        & ( ! [X6] :
              ( ! [X7] :
                  ( ! [X8] :
                      ( ! [X9] :
                          ( ! [X10] :
                              ( leq(X6,X7)
                              | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                              | ~ ssList(X10) )
                          | ~ ssList(X9) )
                      | ~ ssList(X8) )
                  | ~ ssItem(X7) )
              | ~ ssItem(X6) )
          | ~ totalorderedP(X0) ) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f150]) ).

fof(f152,plain,
    ! [X0] :
      ( ( ( totalorderedP(X0)
          | ( ~ leq(sK4(X0),sK5(X0))
            & app(app(sK6(X0),cons(sK4(X0),sK7(X0))),cons(sK5(X0),sK8(X0))) = X0
            & ssList(sK8(X0))
            & ssList(sK7(X0))
            & ssList(sK6(X0))
            & ssItem(sK5(X0))
            & ssItem(sK4(X0)) ) )
        & ( ! [X6] :
              ( ! [X7] :
                  ( ! [X8] :
                      ( ! [X9] :
                          ( ! [X10] :
                              ( leq(X6,X7)
                              | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                              | ~ ssList(X10) )
                          | ~ ssList(X9) )
                      | ~ ssList(X8) )
                  | ~ ssItem(X7) )
              | ~ ssItem(X6) )
          | ~ totalorderedP(X0) ) )
      | ~ ssList(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8]),skolemize(X1,sK4(X0)),skolemize(X2,sK5(X0)),skolemize(X3,sK6(X0)),skolemize(X4,sK7(X0)),skolemize(X5,sK8(X0))],[f151]) ).

fof(f155,plain,
    ! [X0] :
      ( ( ( strictorderedP(X0)
          | ? [X1] :
              ( ? [X2] :
                  ( ? [X3] :
                      ( ? [X4] :
                          ( ? [X5] :
                              ( ~ lt(X1,X2)
                              & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                              & ssList(X5) )
                          & ssList(X4) )
                      & ssList(X3) )
                  & ssItem(X2) )
              & ssItem(X1) ) )
        & ( ! [X1] :
              ( ! [X2] :
                  ( ! [X3] :
                      ( ! [X4] :
                          ( ! [X5] :
                              ( lt(X1,X2)
                              | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
                              | ~ ssList(X5) )
                          | ~ ssList(X4) )
                      | ~ ssList(X3) )
                  | ~ ssItem(X2) )
              | ~ ssItem(X1) )
          | ~ strictorderedP(X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f106]) ).

fof(f156,plain,
    ! [X0] :
      ( ( ( strictorderedP(X0)
          | ? [X1] :
              ( ? [X2] :
                  ( ? [X3] :
                      ( ? [X4] :
                          ( ? [X5] :
                              ( ~ lt(X1,X2)
                              & app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
                              & ssList(X5) )
                          & ssList(X4) )
                      & ssList(X3) )
                  & ssItem(X2) )
              & ssItem(X1) ) )
        & ( ! [X6] :
              ( ! [X7] :
                  ( ! [X8] :
                      ( ! [X9] :
                          ( ! [X10] :
                              ( lt(X6,X7)
                              | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                              | ~ ssList(X10) )
                          | ~ ssList(X9) )
                      | ~ ssList(X8) )
                  | ~ ssItem(X7) )
              | ~ ssItem(X6) )
          | ~ strictorderedP(X0) ) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f155]) ).

fof(f157,plain,
    ! [X0] :
      ( ( ( strictorderedP(X0)
          | ( ~ lt(sK9(X0),sK10(X0))
            & app(app(sK11(X0),cons(sK9(X0),sK12(X0))),cons(sK10(X0),sK13(X0))) = X0
            & ssList(sK13(X0))
            & ssList(sK12(X0))
            & ssList(sK11(X0))
            & ssItem(sK10(X0))
            & ssItem(sK9(X0)) ) )
        & ( ! [X6] :
              ( ! [X7] :
                  ( ! [X8] :
                      ( ! [X9] :
                          ( ! [X10] :
                              ( lt(X6,X7)
                              | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
                              | ~ ssList(X10) )
                          | ~ ssList(X9) )
                      | ~ ssList(X8) )
                  | ~ ssItem(X7) )
              | ~ ssItem(X6) )
          | ~ strictorderedP(X0) ) )
      | ~ ssList(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13]),skolemize(X1,sK9(X0)),skolemize(X2,sK10(X0)),skolemize(X3,sK11(X0)),skolemize(X4,sK12(X0)),skolemize(X5,sK13(X0))],[f156]) ).

fof(f163,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( lt(X0,X1)
              | X0 = X1
              | ~ leq(X0,X1) )
            & ( ( X0 != X1
                & leq(X0,X1) )
              | ~ lt(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f137]) ).

fof(f164,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( lt(X0,X1)
              | X0 = X1
              | ~ leq(X0,X1) )
            & ( ( X0 != X1
                & leq(X0,X1) )
              | ~ lt(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f163]) ).

fof(f167,plain,
    ssList(sK2),
    inference(cnf_transformation,[],[f147]) ).

fof(f168,plain,
    ~ totalorderedP(sK0),
    inference(cnf_transformation,[],[f147]) ).

fof(f169,plain,
    strictorderedP(sK2),
    inference(cnf_transformation,[],[f147]) ).

fof(f170,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f147]) ).

fof(f181,plain,
    ! [X0] :
      ( ssItem(sK4(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f182,plain,
    ! [X0] :
      ( ssItem(sK5(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f183,plain,
    ! [X0] :
      ( ssList(sK6(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f184,plain,
    ! [X0] :
      ( ssList(sK7(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f185,plain,
    ! [X0] :
      ( ssList(sK8(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f186,plain,
    ! [X0] :
      ( app(app(sK6(X0),cons(sK4(X0),sK7(X0))),cons(sK5(X0),sK8(X0))) = X0
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f187,plain,
    ! [X0] :
      ( ~ leq(sK4(X0),sK5(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f195,plain,
    ! [X10,X0,X8,X6,X9,X7] :
      ( lt(X6,X7)
      | app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ~ strictorderedP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | ~ lt(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f242,plain,
    ~ totalorderedP(sK2),
    inference(definition_unfolding,[],[f168,f170]) ).

fof(f250,plain,
    ! [X10,X8,X6,X9,X7] :
      ( ~ strictorderedP(app(app(X8,cons(X6,X9)),cons(X7,X10)))
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | lt(X6,X7)
      | ~ ssList(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
    inference(equality_resolution,[],[f195]) ).

fof(f269,plain,
    ! [X0] :
      ( ~ lt(sK4(X0),sK5(X0))
      | ~ ssItem(sK5(X0))
      | ~ ssItem(sK4(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f234,f187]) ).

fof(f270,plain,
    ! [X0] :
      ( ~ lt(sK4(X0),sK5(X0))
      | ~ ssItem(sK4(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f269,f182]) ).

fof(f271,plain,
    ! [X0] :
      ( ~ lt(sK4(X0),sK5(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f270,f181]) ).

fof(f858,plain,
    ! [X0] :
      ( ~ strictorderedP(X0)
      | ~ ssList(sK8(X0))
      | ~ ssList(sK7(X0))
      | ~ ssList(sK6(X0))
      | ~ ssItem(sK5(X0))
      | ~ ssItem(sK4(X0))
      | lt(sK4(X0),sK5(X0))
      | ~ ssList(X0)
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    inference(superposition,[],[f250,f186]) ).

fof(f863,plain,
    ! [X0] :
      ( ~ strictorderedP(X0)
      | ~ ssList(sK8(X0))
      | ~ ssList(sK7(X0))
      | ~ ssList(sK6(X0))
      | ~ ssItem(sK5(X0))
      | ~ ssItem(sK4(X0))
      | lt(sK4(X0),sK5(X0))
      | ~ ssList(X0)
      | totalorderedP(X0) ),
    inference(duplicate_literal_removal,[],[f858]) ).

fof(f867,plain,
    ! [X0] :
      ( ~ strictorderedP(X0)
      | ~ ssList(sK8(X0))
      | ~ ssList(sK7(X0))
      | ~ ssList(sK6(X0))
      | ~ ssItem(sK5(X0))
      | ~ ssItem(sK4(X0))
      | ~ ssList(X0)
      | totalorderedP(X0) ),
    inference(forward_subsumption_resolution,[],[f863,f271]) ).

fof(f878,plain,
    ! [X0] :
      ( ~ strictorderedP(X0)
      | ~ ssList(sK7(X0))
      | ~ ssList(sK6(X0))
      | ~ ssItem(sK5(X0))
      | ~ ssItem(sK4(X0))
      | ~ ssList(X0)
      | totalorderedP(X0) ),
    inference(forward_subsumption_resolution,[],[f867,f185]) ).

fof(f886,plain,
    ! [X0] :
      ( ~ strictorderedP(X0)
      | ~ ssList(sK6(X0))
      | ~ ssItem(sK5(X0))
      | ~ ssItem(sK4(X0))
      | ~ ssList(X0)
      | totalorderedP(X0) ),
    inference(forward_subsumption_resolution,[],[f878,f184]) ).

fof(f887,plain,
    ! [X0] :
      ( ~ strictorderedP(X0)
      | ~ ssItem(sK5(X0))
      | ~ ssItem(sK4(X0))
      | ~ ssList(X0)
      | totalorderedP(X0) ),
    inference(forward_subsumption_resolution,[],[f886,f183]) ).

fof(f888,plain,
    ! [X0] :
      ( ~ strictorderedP(X0)
      | ~ ssItem(sK4(X0))
      | ~ ssList(X0)
      | totalorderedP(X0) ),
    inference(forward_subsumption_resolution,[],[f887,f182]) ).

fof(f889,plain,
    ! [X0] :
      ( totalorderedP(X0)
      | ~ ssList(X0)
      | ~ strictorderedP(X0) ),
    inference(forward_subsumption_resolution,[],[f888,f181]) ).

fof(f890,plain,
    ( ~ ssList(sK2)
    | ~ strictorderedP(sK2) ),
    inference(resolution,[],[f889,f242]) ).

fof(f895,plain,
    ~ strictorderedP(sK2),
    inference(forward_subsumption_resolution,[],[f890,f167]) ).

fof(f896,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f895,f169]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC264+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.17  % Computer : n014.cluster.edu
% 0.10/0.17  % Model    : x86_64 x86_64
% 0.10/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17  % Memory   : 8046.5625MB
% 0.10/0.17  % OS       : Linux 6.8.0-71-generic
% 0.10/0.17  % CPULimit : 300
% 0.10/0.17  % WCLimit  : 300
% 0.10/0.17  % DateTime : Mon Sep 28 08:45:31 UTC 2026
% 0.10/0.17  % CPUTime  : 
% 0.10/0.17  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21  Running first-order theorem proving
% 0.10/0.21  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.10/1.10  % (1638259)Detected formulas, will run a generic FOF schedule.
% 3.10/1.10  % (1638264)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1602116931:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.10/1.10  % (1638269)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3398984751:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.10/1.10  % (1638268)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3516325376:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.10/1.10  % (1638265)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=907298311:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.10/1.10  % (1638267)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2950060981:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.10/1.10  % (1638270)dis-21_1_sil=8000:lcm=predicate:random_seed=1002486256:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.10/1.10  % (1638266)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3998931904:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.10/1.10  % (1638267)Refutation not found, incomplete strategy
% 3.10/1.10  % (1638267)------------------------------
% 3.10/1.10  % (1638267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.10  % (1638267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.10  % (1638267)CaDiCaL version: 2.1.3
% 3.10/1.10  % (1638267)Termination reason: Refutation not found, incomplete strategy
% 3.10/1.10  % (1638267)Time elapsed: 0.003 s
% 3.10/1.10  % (1638267)Peak memory usage: 88 MB
% 3.10/1.10  % (1638267)Instructions burned: 3 (million)
% 3.10/1.10  % (1638268)First to succeed.
% 3.10/1.10  % (1638268)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1638259"
% 3.10/1.10  % (1638270)Instruction limit reached! 
% 3.10/1.10  % (1638270)------------------------------
% 3.10/1.10  % (1638270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.10  % (1638270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.10  % (1638270)CaDiCaL version: 2.1.3
% 3.10/1.10  % (1638270)Termination reason: Instruction limit
% 3.10/1.10  % (1638270)Termination phase: Saturation
% 3.10/1.10  % (1638270)Time elapsed: 0.070 s
% 3.10/1.10  % (1638270)Peak memory usage: 91 MB
% 3.10/1.10  % (1638270)Instructions burned: 131 (million)
% 3.10/1.10  % (1638269)Instruction limit reached! 
% 3.10/1.10  % (1638269)------------------------------
% 3.10/1.10  % (1638269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.10  % (1638269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.10  % (1638269)CaDiCaL version: 2.1.3
% 3.10/1.10  % (1638269)Termination reason: Instruction limit
% 3.10/1.10  % (1638269)Termination phase: Saturation
% 3.10/1.10  % (1638269)Time elapsed: 0.093 s
% 3.10/1.10  % (1638269)Peak memory usage: 90 MB
% 3.10/1.10  % (1638269)Instructions burned: 139 (million)
% 3.10/1.10  % (1638278)lrs+10_1_sil=8000:sp=occurrence:random_seed=578051721:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.10/1.10  % (1638267)------------------------------
% 3.10/1.10  % (1638267)------------------------------
% 3.10/1.10  % (1638279)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4015381238:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.10/1.10  % (1638268)Refutation found. Thanks to Tanya!
% 3.10/1.10  % SZS status Theorem for theBenchmark
% 3.10/1.10  % SZS output start Proof for theBenchmark
% See solution above
% 3.66/1.19  % (1638268)------------------------------
% 3.66/1.19  % (1638268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.19  % (1638268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.19  % (1638268)CaDiCaL version: 2.1.3
% 3.66/1.19  % (1638268)Termination reason: Refutation
% 3.66/1.19  % (1638268)Time elapsed: 0.017 s
% 3.66/1.19  % (1638268)Peak memory usage: 88 MB
% 3.66/1.19  % (1638268)Instructions burned: 26 (million)
% 3.66/1.19  % (1638268)------------------------------
% 3.66/1.19  % (1638268)------------------------------
% 3.66/1.19  % (1638259)Success in time 0.449 s
% 3.66/1.19  % Vampire exiting
%------------------------------------------------------------------------------