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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWC039+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n013.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 : Fri Sep 25 03:07:37 PM UTC 2026

% Result   : Theorem 3.74s 1.19s
% Output   : CNFRefutation 3.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   69 (  22 unt;   1 def)
%            Number of atoms       :  317 ( 104 equ)
%            Maximal formula atoms :   21 (   4 avg)
%            Number of connectives :  391 ( 143   ~; 131   |;  96   &)
%                                         (   4 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   7 usr;   2 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-2 aty)
%            Number of variables   :  138 (   0 sgn  99   !;  39   ?;  31   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) )
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).

fof(f58,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( segmentP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax58) ).

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

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

fof(f103,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) )
                & ssList(X2) ) ) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f176,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ( segmentP(nil,X0)
      <=> nil = X0 ) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f221,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & ( ( nil = X2
                      & nil = X3 )
                    | ? [X4] :
                        ( ssItem(X4)
                        & ? [X5] :
                            ( ssList(X5)
                            & ? [X6] :
                                ( ssList(X6)
                                & ! [X8] :
                                    ( ~ lt(X8,X4)
                                    | ~ memberP(X6,X8)
                                    | ~ ssItem(X8) )
                                & ! [X7] :
                                    ( ~ lt(X4,X7)
                                    | ~ memberP(X5,X7)
                                    | ~ ssItem(X7) )
                                & app(app(X5,X2),X6) = X3
                                & cons(X4,nil) = X2 ) ) ) )
                  & nil != X0
                  & X0 = X2
                  & X1 = X3
                  & nil = X1 ) ) ) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f222,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & ( ( nil = X2
                      & nil = X3 )
                    | ? [X4] :
                        ( ssItem(X4)
                        & ? [X5] :
                            ( ssList(X5)
                            & ? [X6] :
                                ( ssList(X6)
                                & ! [X8] :
                                    ( ~ lt(X8,X4)
                                    | ~ memberP(X6,X8)
                                    | ~ ssItem(X8) )
                                & ! [X7] :
                                    ( ~ lt(X4,X7)
                                    | ~ memberP(X5,X7)
                                    | ~ ssItem(X7) )
                                & app(app(X5,X2),X6) = X3
                                & cons(X4,nil) = X2 ) ) ) )
                  & nil != X0
                  & X0 = X2
                  & X1 = X3
                  & nil = X1 ) ) ) ),
    inference(flattening,[],[f221]) ).

fof(f248,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ segmentP(X0,X1)
              | ? [X2] :
                  ( ? [X3] :
                      ( app(app(X2,X1),X3) = X0
                      & ssList(X3) )
                  & ssList(X2) ) )
            & ( ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) )
              | segmentP(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f103]) ).

fof(f249,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ segmentP(X0,X1)
              | ? [X4] :
                  ( ? [X5] :
                      ( app(app(X4,X1),X5) = X0
                      & ssList(X5) )
                  & ssList(X4) ) )
            & ( ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) )
              | segmentP(X0,X1) ) ) ) ),
    inference(rectify,[],[f248]) ).

fof(f250,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ segmentP(X0,X1)
              | ( app(app(sK14(X0,X1),X1),sK15(X0,X1)) = X0
                & ssList(sK15(X0,X1))
                & ssList(sK14(X0,X1)) ) )
            & ( ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) )
              | segmentP(X0,X1) ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X4,sK14(X0,X1)),skolemize(X5,sK15(X0,X1))],[f249]) ).

fof(f287,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ( ( ~ segmentP(nil,X0)
          | nil = X0 )
        & ( nil != X0
          | segmentP(nil,X0) ) ) ),
    inference(nnf_transformation,[],[f176]) ).

fof(f301,plain,
    ( ssList(sK57)
    & ssList(sK58)
    & ssList(sK59)
    & ssList(sK60)
    & ( ( nil = sK59
        & nil = sK60 )
      | sP6(sK59,sK60) )
    & nil != sK57
    & sK57 = sK59
    & sK58 = sK60
    & nil = sK58 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK57,sK58,sK59,sK60]),skolemize(X0,sK57),skolemize(X1,sK58),skolemize(X2,sK59),skolemize(X3,sK60)],[f233]) ).

fof(f323,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X3)
      | ~ ssList(X2)
      | segmentP(X0,X1) ),
    inference(cnf_transformation,[],[f250]) ).

fof(f448,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ segmentP(nil,X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f287]) ).

fof(f508,plain,
    ssList(sK57),
    inference(cnf_transformation,[],[f301]) ).

fof(f509,plain,
    ssList(sK58),
    inference(cnf_transformation,[],[f301]) ).

fof(f512,plain,
    ( nil = sK59
    | sP6(sK59,sK60) ),
    inference(cnf_transformation,[],[f301]) ).

fof(f514,plain,
    nil != sK57,
    inference(cnf_transformation,[],[f301]) ).

fof(f515,plain,
    sK57 = sK59,
    inference(cnf_transformation,[],[f301]) ).

fof(f516,plain,
    sK58 = sK60,
    inference(cnf_transformation,[],[f301]) ).

fof(f517,plain,
    nil = sK58,
    inference(cnf_transformation,[],[f301]) ).

fof(f518,plain,
    nil = sK60,
    inference(definition_unfolding,[],[f517,f516]) ).

fof(f539,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ segmentP(sK60,X0)
      | sK60 = X0 ),
    inference(definition_unfolding,[],[f448,f518,f518]) ).

fof(f578,plain,
    sK59 != sK60,
    inference(definition_unfolding,[],[f514,f518,f515]) ).

fof(f580,plain,
    ( sK59 = sK60
    | sP6(sK59,sK60) ),
    inference(definition_unfolding,[],[f512,f518]) ).

fof(f581,plain,
    ssList(sK60),
    inference(definition_unfolding,[],[f509,f516]) ).

fof(f582,plain,
    ssList(sK59),
    inference(definition_unfolding,[],[f508,f515]) ).

fof(f588,plain,
    ! [X2,X3,X1] :
      ( ~ ssList(app(app(X2,X1),X3))
      | ~ ssList(X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | segmentP(app(app(X2,X1),X3),X1) ),
    inference(equality_resolution,[],[f323]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(app(app(X0,X1),X2)) ),
    inference(cnf_transformation,[],[f588]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i] :
      ( ( X0 = sK60 )
      | ~ ssList(X0)
      | ~ segmentP(sK60,X0) ),
    inference(cnf_transformation,[],[f539]) ).

tcf(c_253,negated_conjecture,
    sK60 != sK59,
    inference(cnf_transformation,[],[f578]) ).

tcf(c_254,negated_conjecture,
    ( sP6(sK59,sK60)
    | ( sK60 = sK59 ) ),
    inference(cnf_transformation,[],[f580]) ).

tcf(c_257,negated_conjecture,
    ssList(sK60),
    inference(cnf_transformation,[],[f581]) ).

tcf(c_258,negated_conjecture,
    ssList(sK59),
    inference(cnf_transformation,[],[f582]) ).

tcf(c_378,negated_conjecture,
    sP6(sK59,sK60),
    inference(global_subsumption_just,[status(thm)],[c_254,c_253,c_254]) ).

tcf(c_4168,negated_conjecture,
    sK60 != sK59,
    inference(subtyping,[status(esa)],[c_253]) ).

tcf(c_4207,negated_conjecture,
    ! [X0_iProver_app_2: iProver_app_2] :
      ( ( X0_iProver_app_2 = sK60 )
      | ~ ssList(X0_iProver_app_2)
      | ~ segmentP(sK60,X0_iProver_app_2) ),
    inference(subtyping,[status(esa)],[c_196]) ).

tcf(c_4322,plain,
    ! [X0_iProver_app_2: iProver_app_2,X1_iProver_app_2: iProver_app_2,X2_iProver_app_2: iProver_app_2] :
      ( segmentP(app(app(X0_iProver_app_2,X1_iProver_app_2),X2_iProver_app_2),X1_iProver_app_2)
      | ~ ssList(X2_iProver_app_2)
      | ~ ssList(X1_iProver_app_2)
      | ~ ssList(X0_iProver_app_2)
      | ~ ssList(app(app(X0_iProver_app_2,X1_iProver_app_2),X2_iProver_app_2)) ),
    inference(subtyping,[status(esa)],[c_67]) ).

tcf(c_4527,plain,
    ! [X0_iProver_app_2: iProver_app_2] : X0_iProver_app_2 = X0_iProver_app_2,
    theory(equality) ).

tcf(c_4529,plain,
    ! [X0_iProver_app_2: iProver_app_2,X1_iProver_app_2: iProver_app_2,X2_iProver_app_2: iProver_app_2] :
      ( ( X2_iProver_app_2 = X0_iProver_app_2 )
      | ( X2_iProver_app_2 != X1_iProver_app_2 )
      | ( X0_iProver_app_2 != X1_iProver_app_2 ) ),
    theory(equality) ).

tcf(c_4654,plain,
    sK60 = sK60,
    inference(instantiation,[status(thm)],[c_4527]) ).

tcf(c_6025,plain,
    ! [X0_iProver_app_2: iProver_app_2] :
      ( ( sK60 = sK59 )
      | ( sK59 != X0_iProver_app_2 )
      | ( sK60 != X0_iProver_app_2 ) ),
    inference(instantiation,[status(thm)],[c_4529]) ).

tcf(c_6026,plain,
    ( ( sK60 = sK59 )
    | ( sK59 != sK60 )
    | ( sK60 != sK60 ) ),
    inference(instantiation,[status(thm)],[c_6025]) ).

tcf(c_12114,plain,
    ( ( sK59 = sK60 )
    | ~ ssList(sK59)
    | ~ segmentP(sK60,sK59) ),
    inference(instantiation,[status(thm)],[c_4207]) ).

fof(f232,definition,
    ! [X2,X3] :
      ( ~ sP6(X2,X3)
      | ? [X4] :
          ( ssItem(X4)
          & ? [X5] :
              ( ssList(X5)
              & ? [X6] :
                  ( ssList(X6)
                  & ! [X8] :
                      ( ~ lt(X8,X4)
                      | ~ memberP(X6,X8)
                      | ~ ssItem(X8) )
                  & ! [X7] :
                      ( ~ lt(X4,X7)
                      | ~ memberP(X5,X7)
                      | ~ ssItem(X7) )
                  & app(app(X5,X2),X6) = X3
                  & cons(X4,nil) = X2 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).

fof(f233,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & ( ( nil = X2
                      & nil = X3 )
                    | sP6(X2,X3) )
                  & nil != X0
                  & X0 = X2
                  & X1 = X3
                  & nil = X1 ) ) ) ),
    inference(definition_folding,[],[f222,f232]) ).

fof(f298,plain,
    ! [X2,X3] :
      ( ~ sP6(X2,X3)
      | ? [X4] :
          ( ssItem(X4)
          & ? [X5] :
              ( ssList(X5)
              & ? [X6] :
                  ( ssList(X6)
                  & ! [X8] :
                      ( ~ lt(X8,X4)
                      | ~ memberP(X6,X8)
                      | ~ ssItem(X8) )
                  & ! [X7] :
                      ( ~ lt(X4,X7)
                      | ~ memberP(X5,X7)
                      | ~ ssItem(X7) )
                  & app(app(X5,X2),X6) = X3
                  & cons(X4,nil) = X2 ) ) ) ),
    inference(nnf_transformation,[],[f232]) ).

fof(f299,plain,
    ! [X0,X1] :
      ( ~ sP6(X0,X1)
      | ? [X2] :
          ( ssItem(X2)
          & ? [X3] :
              ( ssList(X3)
              & ? [X4] :
                  ( ssList(X4)
                  & ! [X6] :
                      ( ~ lt(X6,X2)
                      | ~ memberP(X4,X6)
                      | ~ ssItem(X6) )
                  & ! [X5] :
                      ( ~ lt(X2,X5)
                      | ~ memberP(X3,X5)
                      | ~ ssItem(X5) )
                  & app(app(X3,X0),X4) = X1
                  & cons(X2,nil) = X0 ) ) ) ),
    inference(rectify,[],[f298]) ).

fof(f300,plain,
    ! [X0,X1] :
      ( ~ sP6(X0,X1)
      | ( ssItem(sK54(X0,X1))
        & ssList(sK55(X0,X1))
        & ssList(sK56(X0,X1))
        & ! [X6] :
            ( ~ lt(X6,sK54(X0,X1))
            | ~ memberP(sK56(X0,X1),X6)
            | ~ ssItem(X6) )
        & ! [X5] :
            ( ~ lt(sK54(X0,X1),X5)
            | ~ memberP(sK55(X0,X1),X5)
            | ~ ssItem(X5) )
        & app(app(sK55(X0,X1),X0),sK56(X0,X1)) = X1
        & cons(sK54(X0,X1),nil) = X0 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK54,sK55,sK56]),skolemize(X2,sK54(X0,X1)),skolemize(X3,sK55(X0,X1)),skolemize(X4,sK56(X0,X1))],[f299]) ).

fof(f502,plain,
    ! [X0,X1] :
      ( ~ sP6(X0,X1)
      | ssList(sK55(X0,X1)) ),
    inference(cnf_transformation,[],[f300]) ).

fof(f503,plain,
    ! [X0,X1] :
      ( ~ sP6(X0,X1)
      | ssList(sK56(X0,X1)) ),
    inference(cnf_transformation,[],[f300]) ).

fof(f506,plain,
    ! [X0,X1] :
      ( ~ sP6(X0,X1)
      | app(app(sK55(X0,X1),X0),sK56(X0,X1)) = X1 ),
    inference(cnf_transformation,[],[f300]) ).

tcf(c_247,plain,
    ! [X0: $i,X1: $i] :
      ( ( app(app(sK55(X0,X1),X0),sK56(X0,X1)) = X1 )
      | ~ sP6(X0,X1) ),
    inference(cnf_transformation,[],[f506]) ).

tcf(c_250,plain,
    ! [X0: $i,X1: $i] :
      ( ssList(sK56(X0,X1))
      | ~ sP6(X0,X1) ),
    inference(cnf_transformation,[],[f503]) ).

tcf(c_251,plain,
    ! [X0: $i,X1: $i] :
      ( ssList(sK55(X0,X1))
      | ~ sP6(X0,X1) ),
    inference(cnf_transformation,[],[f502]) ).

tcf(c_512,plain,
    ! [X0: $i,X1: $i] :
      ( ( app(app(sK55(X0,X1),X0),sK56(X0,X1)) = X1 )
      | ~ sP6(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_247]) ).

tcf(c_514,plain,
    ! [X0: $i,X1: $i] :
      ( ssList(sK56(X0,X1))
      | ~ sP6(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_250]) ).

tcf(c_516,plain,
    ! [X0: $i,X1: $i] :
      ( ssList(sK55(X0,X1))
      | ~ sP6(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_251]) ).

tcf(c_815,plain,
    ! [X0: $i,X1: $i] :
      ( ssList(sK55(X0,X1))
      | ( X1 != sK60 )
      | ( X0 != sK59 ) ),
    inference(resolution_lifted,[status(thm)],[c_516,c_378]) ).

tcf(c_816,plain,
    ssList(sK55(sK59,sK60)),
    inference(unflattening,[status(thm)],[c_815]) ).

tcf(c_820,plain,
    ! [X0: $i,X1: $i] :
      ( ssList(sK56(X0,X1))
      | ( X1 != sK60 )
      | ( X0 != sK59 ) ),
    inference(resolution_lifted,[status(thm)],[c_514,c_378]) ).

tcf(c_821,plain,
    ssList(sK56(sK59,sK60)),
    inference(unflattening,[status(thm)],[c_820]) ).

tcf(c_849,plain,
    ! [X0: $i,X1: $i] :
      ( ( app(app(sK55(X0,X1),X0),sK56(X0,X1)) = X1 )
      | ( X1 != sK60 )
      | ( X0 != sK59 ) ),
    inference(resolution_lifted,[status(thm)],[c_512,c_378]) ).

tcf(c_850,plain,
    app(app(sK55(sK59,sK60),sK59),sK56(sK59,sK60)) = sK60,
    inference(unflattening,[status(thm)],[c_849]) ).

tcf(c_4149,plain,
    app(app(sK55(sK59,sK60),sK59),sK56(sK59,sK60)) = sK60,
    inference(subtyping,[status(esa)],[c_850]) ).

tcf(c_13902,plain,
    ( segmentP(sK60,sK59)
    | ~ ssList(sK59)
    | ~ ssList(sK56(sK59,sK60))
    | ~ ssList(sK55(sK59,sK60))
    | ~ ssList(app(app(sK55(sK59,sK60),sK59),sK56(sK59,sK60))) ),
    inference(superposition,[status(thm)],[c_4149,c_4322]) ).

tcf(c_13938,plain,
    ( segmentP(sK60,sK59)
    | ~ ssList(sK59)
    | ~ ssList(sK60)
    | ~ ssList(sK56(sK59,sK60))
    | ~ ssList(sK55(sK59,sK60)) ),
    inference(demodulation,[status(thm)],[c_13902,c_4149]) ).

tcf(c_14010,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_13938,c_12114,c_6026,c_4168,c_4654,c_821,c_816,c_257,c_258]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC039+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n013.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Thu Sep 24 16:02:39 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40  Running first-order theorem proving
% 0.09/0.40  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41  
% 0.09/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41  
% 0.09/0.41  % Detected problem language: tptp
% 0.09/0.42  % Proving...
% 3.74/1.19  % SZS status Started for theBenchmark.p
% 3.74/1.19  % SZS status Theorem for theBenchmark.p
% 3.74/1.19  
% 3.74/1.19  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.74/1.19  
% 3.74/1.19  % ------  iProver source info
% 3.74/1.19  
% 3.74/1.19  % git: date: 2026-07-19 20:42:38 +0200
% 3.74/1.19  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.74/1.19  % git: non_committed_changes: false
% 3.74/1.19  
% 3.74/1.19  % ------ Parsing...
% 3.74/1.19  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.74/1.19  
% 3.74/1.19  % ------ Preprocessing... sup_sim: 0  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 0  pe_s  pe_e % 
% 3.74/1.19  
% 3.74/1.19  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  scvd_s sp: 0 0s scvd_e  snvd_s sp: 0 0s snvd_e % 
% 3.74/1.19  
% 3.74/1.19  % ------ Preprocessing...
% 3.74/1.19  % ------ Proving...
% 3.74/1.19  % ------ Problem Properties 
% 3.74/1.19  
% 3.74/1.19  % 
% 3.74/1.19  % clauses                               189
% 3.74/1.19  % conjectures                           50
% 3.74/1.19  % EPR                                   51
% 3.74/1.19  % Horn                                  121
% 3.74/1.19  % unary                                 23
% 3.74/1.19  % binary                                40
% 3.74/1.19  % lits                                  631
% 3.74/1.19  % lits eq                               81
% 3.74/1.19  % fd_pure                               0
% 3.74/1.19  % fd_pseudo                             0
% 3.74/1.19  % fd_cond                               21
% 3.74/1.19  % fd_pseudo_cond                        14
% 3.74/1.19  % AC symbols                            0
% 3.74/1.19  
% 3.74/1.19  % ------ Input Options Time Limit: Unbounded
% 3.74/1.19  
% 3.74/1.19  
% 3.74/1.19  % ------ 
% 3.74/1.19  % Current options:
% 3.74/1.19  % ------ 
% 3.74/1.19  
% 3.74/1.19  
% 3.74/1.19  % 
% 3.74/1.19  
% 3.74/1.19  % ------ Proving...
% 3.74/1.19  % 
% 3.74/1.19  
% 3.74/1.19  % SZS status Theorem for theBenchmark.p
% 3.74/1.19  
% 3.74/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.74/1.19  
% 3.74/1.19  
%------------------------------------------------------------------------------