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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWC395+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 : n016.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 03:09:36 PM UTC 2026

% Result   : Theorem 49.81s 18.84s
% Output   : CNFRefutation 49.81s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f548ERROR: Could not build tree for root c_128311ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax5) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(f22,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssItem(hd(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).

fof(f24,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssList(tl(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).

fof(f36,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( memberP(app(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | memberP(X1,X0) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax36) ).

fof(f37,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( memberP(cons(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | X0 = X1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax37) ).

fof(f38,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ memberP(nil,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax38) ).

fof(f78,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => cons(hd(X0),tl(X0)) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax78) ).

fof(f81,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).

fof(f82,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax82) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).

fof(f84,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).

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

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

fof(f101,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) ) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f118,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f119,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | ssList(cons(X1,X0)) ) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f126,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ssItem(hd(X0)) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f127,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ssItem(hd(X0)) ),
    inference(flattening,[],[f126]) ).

fof(f129,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ssList(tl(X0)) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f130,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ssList(tl(X0)) ),
    inference(flattening,[],[f129]) ).

fof(f132,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ssList(app(X0,X1)) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f146,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ! [X2] :
              ( ~ ssList(X2)
              | ( memberP(app(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | memberP(X1,X0) ) ) ) ) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f147,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | ! [X2] :
              ( ~ ssList(X2)
              | ( memberP(cons(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | X0 = X1 ) ) ) ) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f148,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ memberP(nil,X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f192,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(hd(X0),tl(X0)) = X0 ),
    inference(ennf_transformation,[],[f78]) ).

fof(f193,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(hd(X0),tl(X0)) = X0 ),
    inference(flattening,[],[f192]) ).

fof(f198,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f199,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ! [X2] :
              ( ~ ssList(X2)
              | app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f200,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) ) ) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f201,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    inference(ennf_transformation,[],[f84]) ).

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

fof(f239,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ frontsegP(X0,X1)
              | ? [X2] :
                  ( app(X1,X2) = X0
                  & ssList(X2) ) )
            & ( ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) )
              | frontsegP(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f101]) ).

fof(f240,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ frontsegP(X0,X1)
              | ? [X3] :
                  ( app(X1,X3) = X0
                  & ssList(X3) ) )
            & ( ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) )
              | frontsegP(X0,X1) ) ) ) ),
    inference(rectify,[],[f239]) ).

fof(f241,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ frontsegP(X0,X1)
              | ( app(X1,sK11(X0,X1)) = X0
                & ssList(sK11(X0,X1)) ) )
            & ( ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) )
              | frontsegP(X0,X1) ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X3,sK11(X0,X1))],[f240]) ).

fof(f272,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ neq(X0,X1)
              | X0 != X1 )
            & ( X0 = X1
              | neq(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f118]) ).

fof(f276,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ! [X2] :
              ( ~ ssList(X2)
              | ( ( ~ memberP(app(X1,X2),X0)
                  | memberP(X2,X0)
                  | memberP(X1,X0) )
                & ( ( ~ memberP(X2,X0)
                    & ~ memberP(X1,X0) )
                  | memberP(app(X1,X2),X0) ) ) ) ) ),
    inference(nnf_transformation,[],[f146]) ).

fof(f277,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ! [X2] :
              ( ~ ssList(X2)
              | ( ( ~ memberP(app(X1,X2),X0)
                  | memberP(X2,X0)
                  | memberP(X1,X0) )
                & ( ( ~ memberP(X2,X0)
                    & ~ memberP(X1,X0) )
                  | memberP(app(X1,X2),X0) ) ) ) ) ),
    inference(flattening,[],[f276]) ).

fof(f278,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | ! [X2] :
              ( ~ ssList(X2)
              | ( ( ~ memberP(cons(X1,X2),X0)
                  | memberP(X2,X0)
                  | X0 = X1 )
                & ( ( ~ memberP(X2,X0)
                    & X0 != X1 )
                  | memberP(cons(X1,X2),X0) ) ) ) ) ),
    inference(nnf_transformation,[],[f147]) ).

fof(f279,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | ! [X2] :
              ( ~ ssList(X2)
              | ( ( ~ memberP(cons(X1,X2),X0)
                  | memberP(X2,X0)
                  | X0 = X1 )
                & ( ( ~ memberP(X2,X0)
                    & X0 != X1 )
                  | memberP(cons(X1,X2),X0) ) ) ) ) ),
    inference(flattening,[],[f278]) ).

fof(f291,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( nil != app(X0,X1)
              | ( nil = X0
                & nil = X1 ) )
            & ( nil != X0
              | nil != X1
              | nil = app(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f200]) ).

fof(f292,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( nil != app(X0,X1)
              | ( nil = X0
                & nil = X1 ) )
            & ( nil != X0
              | nil != X1
              | nil = app(X0,X1) ) ) ) ),
    inference(flattening,[],[f291]) ).

fof(f295,plain,
    ( ssList(sK53)
    & ssList(sK54)
    & ssList(sK55)
    & ( ~ neq(sK56,nil)
      | ! [X5] :
          ( ! [X6] :
              ( ! [X7] :
                  ( ~ neq(nil,sK56)
                  | ! [X8] :
                      ( ~ neq(nil,sK56)
                      | hd(sK56) != X8
                      | cons(X8,nil) != X7
                      | ~ ssItem(X8) )
                  | app(X6,X7) != X5
                  | tl(sK56) != X6
                  | ~ ssList(X7) )
              | ~ ssList(X6) )
          | sK55 = X5
          | ~ ssList(X5) ) )
    & ( nil != sK56
      | nil = sK55 )
    & ~ memberP(sK54,sK57)
    & memberP(sK53,sK57)
    & ssItem(sK57)
    & sK53 = sK55
    & sK54 = sK56
    & ssList(sK56) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X4,sK57)],[f221]) ).

fof(f308,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ frontsegP(X0,X1)
      | app(X1,sK11(X0,X1)) = X0 ),
    inference(cnf_transformation,[],[f241]) ).

fof(f310,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X1,X2) != X0
      | ~ ssList(X2)
      | frontsegP(X0,X1) ),
    inference(cnf_transformation,[],[f241]) ).

fof(f386,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | X0 = X1
      | neq(X0,X1) ),
    inference(cnf_transformation,[],[f272]) ).

fof(f387,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | ssList(cons(X1,X0)) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f388,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f396,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ssItem(hd(X0)) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f398,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ssList(tl(X0)) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f400,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ssList(app(X0,X1)) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f412,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ memberP(app(X1,X2),X0)
      | memberP(X2,X0)
      | memberP(X1,X0) ),
    inference(cnf_transformation,[],[f277]) ).

fof(f413,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ memberP(X2,X0)
      | memberP(app(X1,X2),X0) ),
    inference(cnf_transformation,[],[f277]) ).

fof(f414,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ memberP(X1,X0)
      | memberP(app(X1,X2),X0) ),
    inference(cnf_transformation,[],[f277]) ).

fof(f416,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ memberP(X2,X0)
      | memberP(cons(X1,X2),X0) ),
    inference(cnf_transformation,[],[f279]) ).

fof(f418,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ memberP(nil,X0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f473,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(hd(X0),tl(X0)) = X0 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f476,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | cons(X1,X0) = app(cons(X1,nil),X0) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f477,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | app(app(X0,X1),X2) = app(X0,app(X1,X2)) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f479,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | nil != app(X0,X1)
      | nil = X1 ),
    inference(cnf_transformation,[],[f292]) ).

fof(f481,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    inference(cnf_transformation,[],[f201]) ).

fof(f495,plain,
    ssList(sK53),
    inference(cnf_transformation,[],[f295]) ).

fof(f496,plain,
    ssList(sK54),
    inference(cnf_transformation,[],[f295]) ).

fof(f499,plain,
    ( nil != sK56
    | nil = sK55 ),
    inference(cnf_transformation,[],[f295]) ).

fof(f500,plain,
    ~ memberP(sK54,sK57),
    inference(cnf_transformation,[],[f295]) ).

fof(f501,plain,
    memberP(sK53,sK57),
    inference(cnf_transformation,[],[f295]) ).

fof(f502,plain,
    ssItem(sK57),
    inference(cnf_transformation,[],[f295]) ).

fof(f503,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f295]) ).

fof(f504,plain,
    sK54 = sK56,
    inference(cnf_transformation,[],[f295]) ).

fof(f506,plain,
    memberP(sK55,sK57),
    inference(definition_unfolding,[],[f501,f503]) ).

fof(f507,plain,
    ~ memberP(sK56,sK57),
    inference(definition_unfolding,[],[f500,f504]) ).

fof(f508,plain,
    ssList(sK56),
    inference(definition_unfolding,[],[f496,f504]) ).

fof(f509,plain,
    ssList(sK55),
    inference(definition_unfolding,[],[f495,f503]) ).

fof(f513,plain,
    ! [X2,X1] :
      ( ~ ssList(app(X1,X2))
      | ~ ssList(X1)
      | ~ ssList(X2)
      | frontsegP(app(X1,X2),X1) ),
    inference(equality_resolution,[],[f310]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1)) ),
    inference(cnf_transformation,[],[f513]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i] :
      ( ( app(X1,sK11(X0,X1)) = X0 )
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1) ),
    inference(cnf_transformation,[],[f308]) ).

tcf(c_138,plain,
    ! [X0: $i,X1: $i] :
      ( neq(X0,X1)
      | ( X0 = X1 )
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f386]) ).

tcf(c_140,plain,
    ! [X0: $i,X1: $i] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f387]) ).

tcf(c_141,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f388]) ).

tcf(c_149,plain,
    ! [X0: $i] :
      ( ssItem(hd(X0))
      | ( X0 = nil )
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f396]) ).

tcf(c_151,plain,
    ! [X0: $i] :
      ( ssList(tl(X0))
      | ( X0 = nil )
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f398]) ).

tcf(c_153,plain,
    ! [X0: $i,X1: $i] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f400]) ).

tcf(c_165,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( memberP(app(X0,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ memberP(X0,X1) ),
    inference(cnf_transformation,[],[f414]) ).

tcf(c_166,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( memberP(app(X2,X0),X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ memberP(X0,X1) ),
    inference(cnf_transformation,[],[f413]) ).

tcf(c_167,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( memberP(X1,X2)
      | memberP(X0,X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | ~ memberP(app(X0,X1),X2) ),
    inference(cnf_transformation,[],[f412]) ).

tcf(c_169,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( memberP(cons(X2,X0),X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ memberP(X0,X1) ),
    inference(cnf_transformation,[],[f416]) ).

tcf(c_171,plain,
    ! [X0: $i] :
      ( ~ ssItem(X0)
      | ~ memberP(nil,X0) ),
    inference(cnf_transformation,[],[f418]) ).

tcf(c_224,plain,
    ! [X0: $i] :
      ( ( X0 = nil )
      | ( cons(hd(X0),tl(X0)) = X0 )
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f473]) ).

tcf(c_227,plain,
    ! [X0: $i,X1: $i] :
      ( ( app(cons(X0,nil),X1) = cons(X0,X1) )
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f476]) ).

tcf(c_228,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( app(app(X0,X1),X2) = app(X0,app(X1,X2)) )
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f477]) ).

tcf(c_230,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = nil )
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ( app(X0,X1) != nil ) ),
    inference(cnf_transformation,[],[f479]) ).

tcf(c_232,plain,
    ! [X0: $i] :
      ( ( app(X0,nil) = X0 )
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f481]) ).

tcf(c_247,negated_conjecture,
    ssItem(sK57),
    inference(cnf_transformation,[],[f502]) ).

tcf(c_248,negated_conjecture,
    memberP(sK55,sK57),
    inference(cnf_transformation,[],[f506]) ).

tcf(c_249,negated_conjecture,
    ~ memberP(sK56,sK57),
    inference(cnf_transformation,[],[f507]) ).

tcf(c_250,negated_conjecture,
    ( ( nil = sK55 )
    | ( nil != sK56 ) ),
    inference(cnf_transformation,[],[f499]) ).

tcf(c_251,negated_conjecture,
    ( ( app(tl(sK56),cons(hd(sK56),nil)) = sK55 )
    | ~ ssList(tl(sK56))
    | ~ ssItem(hd(sK56))
    | ~ neq(sK56,nil)
    | ~ neq(nil,sK56)
    | ~ ssList(cons(hd(sK56),nil))
    | ~ ssList(app(tl(sK56),cons(hd(sK56),nil))) ),
    inference(cnf_transformation,[],[f548]) ).

tcf(c_253,negated_conjecture,
    ssList(sK56),
    inference(cnf_transformation,[],[f508]) ).

tcf(c_254,negated_conjecture,
    ssList(sK55),
    inference(cnf_transformation,[],[f509]) ).

tcf(c_376,plain,
    ! [X0: $i,X1: $i] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_61,c_153,c_61]) ).

tcf(c_809,plain,
    ( ( app(tl(sK56),cons(hd(sK56),nil)) = sK55 )
    | ~ ssList(tl(sK56))
    | ~ ssItem(hd(sK56))
    | ~ neq(sK56,nil)
    | ~ neq(nil,sK56)
    | ~ ssList(cons(hd(sK56),nil)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_251,c_153]) ).

tcf(c_8887,definition,
    iPr_def_10 = hd(sK56),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_8888,definition,
    iPr_def_11 = cons(iPr_def_10,nil),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_8889,definition,
    iPr_def_12 = tl(sK56),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_8890,definition,
    iPr_def_13 = app(iPr_def_12,iPr_def_11),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_8891,plain,
    ( ( iPr_def_13 = sK55 )
    | ~ ssList(iPr_def_12)
    | ~ ssList(iPr_def_11)
    | ~ ssItem(iPr_def_10)
    | ~ neq(sK56,nil)
    | ~ neq(nil,sK56) ),
    inference(demodulation,[status(thm)],[c_809,c_8890,c_8889,c_8887,c_8888]) ).

tcf(c_8892,negated_conjecture,
    ssList(sK55),
    inference(demodulation,[status(thm)],[c_254]) ).

tcf(c_8893,negated_conjecture,
    ( ( nil = sK55 )
    | ( nil != sK56 ) ),
    inference(demodulation,[status(thm)],[c_250]) ).

tcf(c_8894,negated_conjecture,
    ~ memberP(sK56,sK57),
    inference(demodulation,[status(thm)],[c_249]) ).

tcf(c_8895,negated_conjecture,
    memberP(sK55,sK57),
    inference(demodulation,[status(thm)],[c_248]) ).

tcf(c_8896,negated_conjecture,
    ssItem(sK57),
    inference(demodulation,[status(thm)],[c_247]) ).

tcf(c_8897,negated_conjecture,
    ssList(sK56),
    inference(demodulation,[status(thm)],[c_253]) ).

tcf(c_8898,plain,
    ! [X0: $i] : X0 = X0,
    theory(equality) ).

tcf(c_8905,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( memberP(X0,X2)
      | ~ memberP(X1,X3)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_12287,plain,
    app(sK55,nil) = sK55,
    inference(superposition,[status(thm)],[c_8892,c_232]) ).

tcf(c_12345,plain,
    ( ssList(iPr_def_11)
    | ~ ssList(nil)
    | ~ ssItem(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_8888,c_140]) ).

tcf(c_12348,plain,
    ( ssList(iPr_def_11)
    | ~ ssItem(iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12345,c_141]) ).

tcf(c_12383,plain,
    ( ( sK55 = iPr_def_13 )
    | ~ ssList(iPr_def_12)
    | ~ ssItem(iPr_def_10)
    | ~ neq(sK56,nil)
    | ~ neq(nil,sK56) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_8891,c_12348]) ).

tcf(c_12401,plain,
    ( ssItem(iPr_def_10)
    | ( nil = sK56 )
    | ~ ssList(sK56) ),
    inference(superposition,[status(thm)],[c_8887,c_149]) ).

tcf(c_12402,plain,
    ( ssItem(iPr_def_10)
    | ( nil = sK56 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12401,c_8897]) ).

tcf(c_12409,plain,
    ( ssList(iPr_def_11)
    | ( nil = sK56 ) ),
    inference(superposition,[status(thm)],[c_12402,c_12348]) ).

tcf(c_12484,plain,
    ( ssList(iPr_def_12)
    | ( nil = sK56 )
    | ~ ssList(sK56) ),
    inference(superposition,[status(thm)],[c_8889,c_151]) ).

tcf(c_12487,plain,
    ( ssList(iPr_def_12)
    | ( nil = sK56 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12484,c_8897]) ).

tcf(c_13187,plain,
    ( ~ ssItem(sK57)
    | ~ memberP(nil,sK57) ),
    inference(instantiation,[status(thm)],[c_171]) ).

tcf(c_13329,plain,
    ( frontsegP(sK55,sK55)
    | ~ ssList(sK55)
    | ~ ssList(nil) ),
    inference(superposition,[status(thm)],[c_12287,c_376]) ).

tcf(c_13341,plain,
    frontsegP(sK55,sK55),
    inference(forward_subsumption_resolution,[status(thm)],[c_13329,c_8892,c_141]) ).

tcf(c_13676,plain,
    ( ( sK55 = iPr_def_13 )
    | ( nil = sK56 )
    | ~ ssList(iPr_def_12)
    | ~ ssList(sK56)
    | ~ ssList(nil)
    | ~ ssItem(iPr_def_10)
    | ~ neq(nil,sK56) ),
    inference(superposition,[status(thm)],[c_138,c_12383]) ).

tcf(c_13677,plain,
    ( ( sK55 = iPr_def_13 )
    | ( nil = sK56 )
    | ~ ssList(iPr_def_12)
    | ~ ssItem(iPr_def_10)
    | ~ neq(nil,sK56) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13676,c_8897,c_141]) ).

tcf(c_14018,plain,
    ( ( sK55 = iPr_def_13 )
    | ( nil = sK56 )
    | ~ neq(nil,sK56) ),
    inference(global_subsumption_just,[status(thm)],[c_13677,c_12402,c_12487,c_13677]) ).

tcf(c_14026,plain,
    ( ( sK55 = iPr_def_13 )
    | ( nil = sK56 )
    | ~ ssList(sK56)
    | ~ ssList(nil) ),
    inference(superposition,[status(thm)],[c_138,c_14018]) ).

tcf(c_14028,plain,
    ( ( sK55 = iPr_def_13 )
    | ( nil = sK56 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14026,c_8897,c_141]) ).

tcf(c_14048,plain,
    ( memberP(iPr_def_13,sK57)
    | ( nil = sK56 ) ),
    inference(superposition,[status(thm)],[c_14028,c_8895]) ).

tcf(c_14227,plain,
    ! [X0: $i,X1: $i] :
      ( memberP(X0,X1)
      | ~ memberP(sK55,sK57)
      | ( X1 != sK57 )
      | ( X0 != sK55 ) ),
    inference(instantiation,[status(thm)],[c_8905]) ).

tcf(c_15896,plain,
    ( ( nil = sK56 )
    | ( cons(hd(sK56),tl(sK56)) = sK56 ) ),
    inference(superposition,[status(thm)],[c_8897,c_224]) ).

tcf(c_15904,plain,
    ( ( nil = sK56 )
    | ( cons(iPr_def_10,iPr_def_12) = sK56 ) ),
    inference(light_normalisation,[status(thm)],[c_15896,c_8887,c_8889]) ).

tcf(c_16092,plain,
    ! [X0: $i] :
      ( memberP(X0,sK57)
      | ~ memberP(sK55,sK57)
      | ( sK57 != sK57 )
      | ( X0 != sK55 ) ),
    inference(instantiation,[status(thm)],[c_14227]) ).

tcf(c_16093,plain,
    sK57 = sK57,
    inference(instantiation,[status(thm)],[c_8898]) ).

tcf(c_16094,plain,
    ( memberP(nil,sK57)
    | ~ memberP(sK55,sK57)
    | ( sK57 != sK57 )
    | ( nil != sK55 ) ),
    inference(instantiation,[status(thm)],[c_16092]) ).

tcf(c_17447,plain,
    ( ( app(sK55,sK11(sK55,sK55)) = sK55 )
    | ~ ssList(sK55) ),
    inference(superposition,[status(thm)],[c_13341,c_63]) ).

tcf(c_17452,plain,
    app(sK55,sK11(sK55,sK55)) = sK55,
    inference(forward_subsumption_resolution,[status(thm)],[c_17447,c_8892]) ).

tcf(c_17690,plain,
    ( ( sK11(sK55,sK55) = nil )
    | ~ ssList(sK55)
    | ~ ssList(sK11(sK55,sK55))
    | ( nil != sK55 ) ),
    inference(superposition,[status(thm)],[c_17452,c_230]) ).

tcf(c_17700,plain,
    ( ( sK11(sK55,sK55) = nil )
    | ~ ssList(sK11(sK55,sK55))
    | ( nil != sK55 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17690,c_8892]) ).

tcf(c_18483,plain,
    nil != sK55,
    inference(global_subsumption_just,[status(thm)],[c_17700,c_247,c_248,c_13187,c_16094,c_16093]) ).

tcf(c_18489,plain,
    nil != sK56,
    inference(backward_subsumption_resolution,[status(thm)],[c_8893,c_18483]) ).

tcf(c_18498,plain,
    memberP(iPr_def_13,sK57),
    inference(backward_subsumption_resolution,[status(thm)],[c_14048,c_18489]) ).

tcf(c_18503,plain,
    sK55 = iPr_def_13,
    inference(backward_subsumption_resolution,[status(thm)],[c_14028,c_18489]) ).

tcf(c_18519,plain,
    ssList(iPr_def_12),
    inference(backward_subsumption_resolution,[status(thm)],[c_12487,c_18489]) ).

tcf(c_18526,plain,
    ssList(iPr_def_11),
    inference(backward_subsumption_resolution,[status(thm)],[c_12409,c_18489]) ).

tcf(c_18527,plain,
    ssItem(iPr_def_10),
    inference(backward_subsumption_resolution,[status(thm)],[c_12402,c_18489]) ).

tcf(c_18562,plain,
    ssList(iPr_def_13),
    inference(demodulation,[status(thm)],[c_8892,c_18503]) ).

tcf(c_19199,plain,
    ! [X0: $i] :
      ( ( app(cons(iPr_def_10,nil),X0) = cons(iPr_def_10,X0) )
      | ~ ssList(X0) ),
    inference(superposition,[status(thm)],[c_18527,c_227]) ).

tcf(c_19212,plain,
    ! [X0: $i] :
      ( ( cons(iPr_def_10,X0) = app(iPr_def_11,X0) )
      | ~ ssList(X0) ),
    inference(light_normalisation,[status(thm)],[c_19199,c_8888]) ).

tcf(c_20968,plain,
    ! [X0: $i] :
      ( memberP(iPr_def_12,X0)
      | memberP(iPr_def_11,X0)
      | ~ ssList(iPr_def_12)
      | ~ ssList(iPr_def_11)
      | ~ ssItem(X0)
      | ~ memberP(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_8890,c_167]) ).

tcf(c_20983,plain,
    ! [X0: $i] :
      ( memberP(iPr_def_12,X0)
      | memberP(iPr_def_11,X0)
      | ~ ssItem(X0)
      | ~ memberP(iPr_def_13,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_20968,c_18519,c_18526]) ).

tcf(c_21085,plain,
    ! [X0: $i,X1: $i] :
      ( ( app(app(X0,X1),sK56) = app(X0,app(X1,sK56)) )
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(superposition,[status(thm)],[c_8897,c_228]) ).

tcf(c_23158,plain,
    ! [X0: $i] :
      ( ( app(app(sK56,X0),sK56) = app(sK56,app(X0,sK56)) )
      | ~ ssList(X0) ),
    inference(superposition,[status(thm)],[c_8897,c_21085]) ).

tcf(c_23358,plain,
    app(app(sK56,iPr_def_13),sK56) = app(sK56,app(iPr_def_13,sK56)),
    inference(superposition,[status(thm)],[c_18562,c_23158]) ).

tcf(c_34986,plain,
    cons(iPr_def_10,iPr_def_12) = sK56,
    inference(global_subsumption_just,[status(thm)],[c_15904,c_247,c_248,c_250,c_13187,c_15904,c_16094,c_16093]) ).

tcf(c_35026,plain,
    ! [X0: $i] :
      ( memberP(sK56,X0)
      | ~ ssList(iPr_def_12)
      | ~ ssItem(iPr_def_10)
      | ~ ssItem(X0)
      | ~ memberP(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_34986,c_169]) ).

tcf(c_35038,plain,
    ! [X0: $i] :
      ( memberP(sK56,X0)
      | ~ ssItem(X0)
      | ~ memberP(iPr_def_12,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_35026,c_18519,c_18527]) ).

tcf(c_66558,plain,
    cons(iPr_def_10,iPr_def_12) = app(iPr_def_11,iPr_def_12),
    inference(superposition,[status(thm)],[c_18519,c_19212]) ).

tcf(c_66571,plain,
    app(iPr_def_11,iPr_def_12) = sK56,
    inference(light_normalisation,[status(thm)],[c_66558,c_34986]) ).

tcf(c_67587,plain,
    ! [X0: $i] :
      ( memberP(sK56,X0)
      | ~ ssList(iPr_def_12)
      | ~ ssList(iPr_def_11)
      | ~ ssItem(X0)
      | ~ memberP(iPr_def_11,X0) ),
    inference(superposition,[status(thm)],[c_66571,c_165]) ).

tcf(c_67598,plain,
    ! [X0: $i] :
      ( memberP(sK56,X0)
      | ~ ssItem(X0)
      | ~ memberP(iPr_def_11,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_67587,c_18519,c_18526]) ).

tcf(c_100376,plain,
    ! [X0: $i] :
      ( memberP(app(sK56,app(iPr_def_13,sK56)),X0)
      | ~ ssList(sK56)
      | ~ ssItem(X0)
      | ~ ssList(app(sK56,iPr_def_13))
      | ~ memberP(app(sK56,iPr_def_13),X0) ),
    inference(superposition,[status(thm)],[c_23358,c_165]) ).

tcf(c_100436,plain,
    ! [X0: $i] :
      ( memberP(app(sK56,app(iPr_def_13,sK56)),X0)
      | ~ ssItem(X0)
      | ~ ssList(app(sK56,iPr_def_13))
      | ~ memberP(app(sK56,iPr_def_13),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_100376,c_8897]) ).

tcf(c_115662,plain,
    ! [X0: $i] :
      ( memberP(sK56,X0)
      | memberP(app(iPr_def_13,sK56),X0)
      | ~ ssList(sK56)
      | ~ ssItem(X0)
      | ~ ssList(app(iPr_def_13,sK56))
      | ~ ssList(app(sK56,iPr_def_13))
      | ~ memberP(app(sK56,iPr_def_13),X0) ),
    inference(superposition,[status(thm)],[c_100436,c_167]) ).

tcf(c_115663,plain,
    ! [X0: $i] :
      ( memberP(sK56,X0)
      | memberP(app(iPr_def_13,sK56),X0)
      | ~ ssItem(X0)
      | ~ ssList(app(iPr_def_13,sK56))
      | ~ ssList(app(sK56,iPr_def_13))
      | ~ memberP(app(sK56,iPr_def_13),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_115662,c_8897]) ).

tcf(c_128276,plain,
    ! [X0: $i] :
      ( memberP(sK56,X0)
      | memberP(app(iPr_def_13,sK56),X0)
      | ~ ssList(iPr_def_13)
      | ~ ssList(sK56)
      | ~ ssItem(X0)
      | ~ memberP(iPr_def_13,X0)
      | ~ ssList(app(iPr_def_13,sK56))
      | ~ ssList(app(sK56,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_166,c_115663]) ).

tcf(c_128277,plain,
    ! [X0: $i] :
      ( memberP(sK56,X0)
      | memberP(app(iPr_def_13,sK56),X0)
      | ~ ssItem(X0)
      | ~ memberP(iPr_def_13,X0)
      | ~ ssList(app(iPr_def_13,sK56))
      | ~ ssList(app(sK56,iPr_def_13)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_128276,c_18562,c_8897]) ).

tcf(c_128298,plain,
    ! [X0: $i] :
      ( memberP(sK56,X0)
      | ~ memberP(iPr_def_13,X0)
      | ~ ssItem(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_128277,c_20983,c_35038,c_67598]) ).

tcf(c_128299,plain,
    ! [X0: $i] :
      ( memberP(sK56,X0)
      | ~ ssItem(X0)
      | ~ memberP(iPr_def_13,X0) ),
    inference(renaming,[status(thm)],[c_128298]) ).

tcf(c_128308,plain,
    ( memberP(sK56,sK57)
    | ~ ssItem(sK57) ),
    inference(superposition,[status(thm)],[c_18498,c_128299]) ).

tcf(c_128311,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_128308,c_8894,c_8896]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC395+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/10.38  % Computer : n016.cluster.edu
% 0.09/10.38  % Model    : x86_64 x86_64
% 0.09/10.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38  % Memory   : 8046.5625MB
% 0.09/10.38  % OS       : Linux 6.8.0-71-generic
% 0.09/10.38  % CPULimit : 300
% 0.09/10.38  % WCLimit  : 300
% 0.09/10.38  % DateTime : Thu Sep 24 18:06:10 UTC 2026
% 0.09/10.38  % CPUTime  : 
% 0.09/10.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/10.42  Running first-order theorem proving
% 0.14/10.42  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
% 0.14/10.43  
% 0.14/10.43  % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.43  
% 0.14/10.43  % Detected problem language: tptp
% 0.14/10.44  % Proving...
% 49.81/18.84  % SZS status Started for theBenchmark.p
% 49.81/18.84  % SZS status Theorem for theBenchmark.p
% 49.81/18.84  
% 49.81/18.84  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 49.81/18.84  
% 49.81/18.84  % ------  iProver source info
% 49.81/18.84  
% 49.81/18.84  % git: date: 2026-07-19 20:42:38 +0200
% 49.81/18.84  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 49.81/18.84  % git: non_committed_changes: false
% 49.81/18.84  
% 49.81/18.84  % ------ Parsing...
% 49.81/18.84  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 49.81/18.84  
% 49.81/18.84  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e % 
% 49.81/18.84  
% 49.81/18.84  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 49.81/18.84  
% 49.81/18.84  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 49.81/18.84  % ------ Proving...
% 49.81/18.84  % ------ Problem Properties 
% 49.81/18.84  
% 49.81/18.84  % 
% 49.81/18.84  % clauses                               195
% 49.81/18.84  % conjectures                           6
% 49.81/18.84  % EPR                                   60
% 49.81/18.84  % Horn                                  125
% 49.81/18.84  % unary                                 25
% 49.81/18.84  % binary                                43
% 49.81/18.84  % lits                                  647
% 49.81/18.84  % lits eq                               87
% 49.81/18.84  % fd_pure                               0
% 49.81/18.84  % fd_pseudo                             0
% 49.81/18.84  % fd_cond                               21
% 49.81/18.84  % fd_pseudo_cond                        16
% 49.81/18.84  % AC symbols                            0
% 49.81/18.84  
% 49.81/18.84  % ------ Schedule dynamic 5 is on 
% 49.81/18.84  
% 49.81/18.84  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 49.81/18.84  
% 49.81/18.84  
% 49.81/18.84  % ------ 
% 49.81/18.84  % Current options:
% 49.81/18.84  % ------ 
% 49.81/18.84  
% 49.81/18.84  
% 49.81/18.84  % 
% 49.81/18.84  
% 49.81/18.84  % ------ Proving...
% 49.81/18.84  % 
% 49.81/18.84  
% 49.81/18.84  % SZS status Theorem for theBenchmark.p
% 49.81/18.84  
% 49.81/18.84  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 49.81/18.84  
% 49.81/18.84  
%------------------------------------------------------------------------------