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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : LCL676+1.015 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/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 02:08:04 PM UTC 2026

% Result   : Theorem 22.32s 5.22s
% Output   : CNFRefutation 22.32s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f62ERROR: Could not build tree for root c_43698ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1,X2] :
      ( ( r1(X1,X2)
        & r1(X0,X1) )
     => r1(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).

fof(f8,plain,
    ! [X0,X1,X2] :
      ( ~ r1(X1,X2)
      | ~ r1(X0,X1)
      | r1(X0,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f9,plain,
    ! [X0,X1,X2] :
      ( ~ r1(X1,X2)
      | ~ r1(X0,X1)
      | r1(X0,X2) ),
    inference(flattening,[],[f8]) ).

fof(f63,plain,
    ! [X0] :
      ( ~ sP49(X0)
      | ( ! [X5] :
            ( ? [X6] :
                ( p2(X6)
                & ? [X7] :
                    ( ~ p2(X7)
                    & r1(X6,X7) )
                & r1(X5,X6) )
            | p2(X5)
            | ~ r1(X0,X5) )
        & ? [X4] :
            ( ~ p2(X4)
            & r1(X0,X4) ) ) ),
    inference(nnf_transformation,[],[f61]) ).

fof(f64,plain,
    ! [X0] :
      ( ~ sP49(X0)
      | ( ! [X2] :
            ( ? [X3] :
                ( p2(X3)
                & ? [X4] :
                    ( ~ p2(X4)
                    & r1(X3,X4) )
                & r1(X2,X3) )
            | p2(X2)
            | ~ r1(X0,X2) )
        & ? [X1] :
            ( ~ p2(X1)
            & r1(X0,X1) ) ) ),
    inference(rectify,[],[f63]) ).

fof(f65,plain,
    ! [X0] :
      ( ~ sP49(X0)
      | ( ! [X2] :
            ( ( p2(sK51(X2))
              & ~ p2(sK52(X2))
              & r1(sK51(X2),sK52(X2))
              & r1(X2,sK51(X2)) )
            | p2(X2)
            | ~ r1(X0,X2) )
        & ~ p2(sK50(X0))
        & r1(X0,sK50(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK50,sK51,sK52]),skolemize(X1,sK50(X0)),skolemize(X3,sK51(X2)),skolemize(X4,sK52(X2))],[f64]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ sP48(X0)
      | ( ! [X15] :
            ( ? [X16] :
                ( p2(X16)
                & ? [X17] :
                    ( ~ p2(X17)
                    & r1(X16,X17) )
                & r1(X15,X16) )
            | p2(X15)
            | ~ r1(X0,X15) )
        & ? [X14] :
            ( ~ p2(X14)
            & r1(X0,X14) ) ) ),
    inference(nnf_transformation,[],[f60]) ).

fof(f67,plain,
    ! [X0] :
      ( ~ sP48(X0)
      | ( ! [X2] :
            ( ? [X3] :
                ( p2(X3)
                & ? [X4] :
                    ( ~ p2(X4)
                    & r1(X3,X4) )
                & r1(X2,X3) )
            | p2(X2)
            | ~ r1(X0,X2) )
        & ? [X1] :
            ( ~ p2(X1)
            & r1(X0,X1) ) ) ),
    inference(rectify,[],[f66]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ sP48(X0)
      | ( ! [X2] :
            ( ( p2(sK54(X2))
              & ~ p2(sK55(X2))
              & r1(sK54(X2),sK55(X2))
              & r1(X2,sK54(X2)) )
            | p2(X2)
            | ~ r1(X0,X2) )
        & ~ p2(sK53(X0))
        & r1(X0,sK53(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55]),skolemize(X1,sK53(X0)),skolemize(X3,sK54(X2)),skolemize(X4,sK55(X2))],[f67]) ).

fof(f209,plain,
    ? [X0] :
      ( ! [X78] :
          ( ? [X79] :
              ( ! [X80] :
                  ( ~ p2(X80)
                  | ! [X81] :
                      ( p2(X81)
                      | ~ r1(X80,X81) )
                  | ~ r1(X79,X80) )
              & ~ p2(X79)
              & r1(X78,X79) )
          | p2(X78)
          | ~ r1(X0,X78) )
      & ( ? [X72] :
            ( ! [X74] :
                ( ( ? [X77] : r1(X74,X77)
                  & ~ p1(X74) )
                | ! [X75] :
                    ( ! [X76] : ~ r1(X75,X76)
                    | p1(X75)
                    | ~ r1(X74,X75) )
                | ~ r1(X72,X74) )
            & ? [X73] : r1(X72,X73)
            & ~ p1(X72)
            & r1(X0,X72) )
        | ! [X71] : ~ r1(X0,X71)
        | p1(X0) )
      & ( ? [X65] :
            ( ! [X67] :
                ( ( ? [X70] : r1(X67,X70)
                  & ~ p1(X67)
                  & ~ p2(X67) )
                | ! [X68] :
                    ( ! [X69] : ~ r1(X68,X69)
                    | p1(X68)
                    | p2(X68)
                    | ~ r1(X67,X68) )
                | ~ r1(X65,X67) )
            & ? [X66] : r1(X65,X66)
            & ~ p1(X65)
            & ~ p2(X65)
            & r1(X0,X65) )
        | ! [X64] : ~ r1(X0,X64)
        | p1(X0)
        | p2(X0) )
      & ( ? [X62] :
            ( sP0(X62)
            & ? [X63] : r1(X62,X63)
            & ~ p1(X62)
            & ~ p2(X62)
            & ~ p3(X62)
            & r1(X0,X62) )
        | ! [X61] : ~ r1(X0,X61)
        | p1(X0)
        | p2(X0)
        | p3(X0) )
      & ( ? [X59] :
            ( sP1(X59)
            & ? [X60] : r1(X59,X60)
            & ~ p1(X59)
            & ~ p2(X59)
            & ~ p3(X59)
            & ~ p4(X59)
            & r1(X0,X59) )
        | ! [X58] : ~ r1(X0,X58)
        | p1(X0)
        | p2(X0)
        | p3(X0)
        | p4(X0) )
      & ( ? [X57] :
            ( sP2(X57)
            & sP3(X57)
            & ~ p1(X57)
            & r1(X0,X57) )
        | ! [X55] :
            ( ! [X56] : ~ r1(X55,X56)
            | p1(X55)
            | p2(X55)
            | p3(X55)
            | p4(X55)
            | ~ r1(X0,X55) )
        | p1(X0) )
      & ( ? [X54] :
            ( sP4(X54)
            & sP5(X54)
            & ~ p1(X54)
            & ~ p2(X54)
            & r1(X0,X54) )
        | ! [X52] :
            ( ! [X53] : ~ r1(X52,X53)
            | p1(X52)
            | p2(X52)
            | p3(X52)
            | p4(X52)
            | ~ r1(X0,X52) )
        | p1(X0)
        | p2(X0) )
      & ( ? [X51] :
            ( sP8(X51)
            & sP7(X51)
            & ~ p1(X51)
            & ~ p2(X51)
            & ~ p3(X51)
            & r1(X0,X51) )
        | ! [X49] :
            ( ! [X50] : ~ r1(X49,X50)
            | p1(X49)
            | p2(X49)
            | p3(X49)
            | p4(X49)
            | ~ r1(X0,X49) )
        | p1(X0)
        | p2(X0)
        | p3(X0) )
      & ( ? [X48] :
            ( sP11(X48)
            & sP10(X48)
            & ~ p1(X48)
            & ~ p2(X48)
            & ~ p3(X48)
            & ~ p4(X48)
            & r1(X0,X48) )
        | ! [X46] :
            ( ! [X47] : ~ r1(X46,X47)
            | p1(X46)
            | p2(X46)
            | p3(X46)
            | p4(X46)
            | ~ r1(X0,X46) )
        | p1(X0)
        | p2(X0)
        | p3(X0)
        | p4(X0) )
      & ( ? [X45] :
            ( sP14(X45)
            & sP15(X45)
            & ~ p1(X45)
            & r1(X0,X45) )
        | ! [X42] :
            ( ! [X43] :
                ( ! [X44] : ~ r1(X43,X44)
                | p1(X43)
                | p2(X43)
                | p3(X43)
                | p4(X43)
                | ~ r1(X42,X43) )
            | p1(X42)
            | p2(X42)
            | p3(X42)
            | p4(X42)
            | ~ r1(X0,X42) )
        | p1(X0) )
      & ( ? [X41] :
            ( sP18(X41)
            & sP19(X41)
            & ~ p1(X41)
            & ~ p2(X41)
            & r1(X0,X41) )
        | ! [X38] :
            ( ! [X39] :
                ( ! [X40] : ~ r1(X39,X40)
                | p1(X39)
                | p2(X39)
                | p3(X39)
                | p4(X39)
                | ~ r1(X38,X39) )
            | p1(X38)
            | p2(X38)
            | p3(X38)
            | p4(X38)
            | ~ r1(X0,X38) )
        | p1(X0)
        | p2(X0) )
      & ( ? [X37] :
            ( sP24(X37)
            & sP23(X37)
            & ~ p1(X37)
            & ~ p2(X37)
            & ~ p3(X37)
            & r1(X0,X37) )
        | ! [X34] :
            ( ! [X35] :
                ( ! [X36] : ~ r1(X35,X36)
                | p1(X35)
                | p2(X35)
                | p3(X35)
                | p4(X35)
                | ~ r1(X34,X35) )
            | p1(X34)
            | p2(X34)
            | p3(X34)
            | p4(X34)
            | ~ r1(X0,X34) )
        | p1(X0)
        | p2(X0)
        | p3(X0) )
      & ( ? [X33] :
            ( sP29(X33)
            & sP28(X33)
            & ~ p1(X33)
            & ~ p2(X33)
            & ~ p3(X33)
            & ~ p4(X33)
            & r1(X0,X33) )
        | ! [X30] :
            ( ! [X31] :
                ( ! [X32] : ~ r1(X31,X32)
                | p1(X31)
                | p2(X31)
                | p3(X31)
                | p4(X31)
                | ~ r1(X30,X31) )
            | p1(X30)
            | p2(X30)
            | p3(X30)
            | p4(X30)
            | ~ r1(X0,X30) )
        | p1(X0)
        | p2(X0)
        | p3(X0)
        | p4(X0) )
      & ( ? [X29] :
            ( sP34(X29)
            & sP35(X29)
            & ~ p1(X29)
            & r1(X0,X29) )
        | ! [X25] :
            ( ! [X26] :
                ( ! [X27] :
                    ( ! [X28] : ~ r1(X27,X28)
                    | p1(X27)
                    | p2(X27)
                    | p3(X27)
                    | p4(X27)
                    | ~ r1(X26,X27) )
                | p1(X26)
                | p2(X26)
                | p3(X26)
                | p4(X26)
                | ~ r1(X25,X26) )
            | p1(X25)
            | p2(X25)
            | p3(X25)
            | p4(X25)
            | ~ r1(X0,X25) )
        | p1(X0) )
      & ( ? [X24] :
            ( sP40(X24)
            & sP41(X24)
            & ~ p1(X24)
            & ~ p2(X24)
            & r1(X0,X24) )
        | ! [X20] :
            ( ! [X21] :
                ( ! [X22] :
                    ( ! [X23] : ~ r1(X22,X23)
                    | p1(X22)
                    | p2(X22)
                    | p3(X22)
                    | p4(X22)
                    | ~ r1(X21,X22) )
                | p1(X21)
                | p2(X21)
                | p3(X21)
                | p4(X21)
                | ~ r1(X20,X21) )
            | p1(X20)
            | p2(X20)
            | p3(X20)
            | p4(X20)
            | ~ r1(X0,X20) )
        | p1(X0)
        | p2(X0) )
      & ( ? [X14] :
            ( ! [X17] :
                ( ( ! [X18] :
                      ( ~ p2(X18)
                      | ! [X19] :
                          ( p2(X19)
                          | ~ r1(X18,X19) )
                      | ~ r1(X17,X18) )
                  & ~ p2(X17) )
                | sP43(X17)
                | sP44(X17)
                | ~ r1(X14,X17) )
            & ( ( ! [X15] :
                    ( ~ p2(X15)
                    | ! [X16] :
                        ( p2(X16)
                        | ~ r1(X15,X16) )
                    | ~ r1(X14,X15) )
                & ~ p2(X14) )
              | sP45(X14) )
            & r1(X0,X14) )
        | sP47(X0) )
      & ! [X11] :
          ( ? [X12] :
              ( p1(X12)
              & ? [X13] :
                  ( ~ p1(X13)
                  & r1(X12,X13) )
              & r1(X11,X12) )
          | p1(X11)
          | ~ r1(X0,X11) )
      & ? [X10] :
          ( ~ p1(X10)
          & r1(X0,X10) )
      & ( sP48(X0)
        | ! [X8] :
            ( ? [X9] :
                ( p5(X9)
                & r1(X8,X9) )
            | ~ r1(X0,X8) ) )
      & ! [X5] :
          ( ? [X6] :
              ( p3(X6)
              & ? [X7] :
                  ( ~ p3(X7)
                  & r1(X6,X7) )
              & r1(X5,X6) )
          | p3(X5)
          | ~ r1(X0,X5) )
      & ? [X4] :
          ( ~ p3(X4)
          & r1(X0,X4) )
      & ( sP49(X0)
        | ? [X1] :
            ( ? [X2] :
                ( ! [X3] :
                    ( ~ p5(X3)
                    | ~ r1(X2,X3) )
                & r1(X1,X2) )
            & ~ p1(X1)
            & r1(X0,X1) ) ) ),
    inference(rectify,[],[f62]) ).

fof(f210,plain,
    ( ! [X78] :
        ( ( ! [X80] :
              ( ~ p2(X80)
              | ! [X81] :
                  ( p2(X81)
                  | ~ r1(X80,X81) )
              | ~ r1(sK163(X78),X80) )
          & ~ p2(sK163(X78))
          & r1(X78,sK163(X78)) )
        | p2(X78)
        | ~ r1(sK132,X78) )
    & ( ( ! [X74] :
            ( ( r1(X74,sK162(X74))
              & ~ p1(X74) )
            | ! [X75] :
                ( ! [X76] : ~ r1(X75,X76)
                | p1(X75)
                | ~ r1(X74,X75) )
            | ~ r1(sK160,X74) )
        & r1(sK160,sK161)
        & ~ p1(sK160)
        & r1(sK132,sK160) )
      | ! [X71] : ~ r1(sK132,X71)
      | p1(sK132) )
    & ( ( ! [X67] :
            ( ( r1(X67,sK159(X67))
              & ~ p1(X67)
              & ~ p2(X67) )
            | ! [X68] :
                ( ! [X69] : ~ r1(X68,X69)
                | p1(X68)
                | p2(X68)
                | ~ r1(X67,X68) )
            | ~ r1(sK157,X67) )
        & r1(sK157,sK158)
        & ~ p1(sK157)
        & ~ p2(sK157)
        & r1(sK132,sK157) )
      | ! [X64] : ~ r1(sK132,X64)
      | p1(sK132)
      | p2(sK132) )
    & ( ( sP0(sK155)
        & r1(sK155,sK156)
        & ~ p1(sK155)
        & ~ p2(sK155)
        & ~ p3(sK155)
        & r1(sK132,sK155) )
      | ! [X61] : ~ r1(sK132,X61)
      | p1(sK132)
      | p2(sK132)
      | p3(sK132) )
    & ( ( sP1(sK153)
        & r1(sK153,sK154)
        & ~ p1(sK153)
        & ~ p2(sK153)
        & ~ p3(sK153)
        & ~ p4(sK153)
        & r1(sK132,sK153) )
      | ! [X58] : ~ r1(sK132,X58)
      | p1(sK132)
      | p2(sK132)
      | p3(sK132)
      | p4(sK132) )
    & ( ( sP2(sK152)
        & sP3(sK152)
        & ~ p1(sK152)
        & r1(sK132,sK152) )
      | ! [X55] :
          ( ! [X56] : ~ r1(X55,X56)
          | p1(X55)
          | p2(X55)
          | p3(X55)
          | p4(X55)
          | ~ r1(sK132,X55) )
      | p1(sK132) )
    & ( ( sP4(sK151)
        & sP5(sK151)
        & ~ p1(sK151)
        & ~ p2(sK151)
        & r1(sK132,sK151) )
      | ! [X52] :
          ( ! [X53] : ~ r1(X52,X53)
          | p1(X52)
          | p2(X52)
          | p3(X52)
          | p4(X52)
          | ~ r1(sK132,X52) )
      | p1(sK132)
      | p2(sK132) )
    & ( ( sP8(sK150)
        & sP7(sK150)
        & ~ p1(sK150)
        & ~ p2(sK150)
        & ~ p3(sK150)
        & r1(sK132,sK150) )
      | ! [X49] :
          ( ! [X50] : ~ r1(X49,X50)
          | p1(X49)
          | p2(X49)
          | p3(X49)
          | p4(X49)
          | ~ r1(sK132,X49) )
      | p1(sK132)
      | p2(sK132)
      | p3(sK132) )
    & ( ( sP11(sK149)
        & sP10(sK149)
        & ~ p1(sK149)
        & ~ p2(sK149)
        & ~ p3(sK149)
        & ~ p4(sK149)
        & r1(sK132,sK149) )
      | ! [X46] :
          ( ! [X47] : ~ r1(X46,X47)
          | p1(X46)
          | p2(X46)
          | p3(X46)
          | p4(X46)
          | ~ r1(sK132,X46) )
      | p1(sK132)
      | p2(sK132)
      | p3(sK132)
      | p4(sK132) )
    & ( ( sP14(sK148)
        & sP15(sK148)
        & ~ p1(sK148)
        & r1(sK132,sK148) )
      | ! [X42] :
          ( ! [X43] :
              ( ! [X44] : ~ r1(X43,X44)
              | p1(X43)
              | p2(X43)
              | p3(X43)
              | p4(X43)
              | ~ r1(X42,X43) )
          | p1(X42)
          | p2(X42)
          | p3(X42)
          | p4(X42)
          | ~ r1(sK132,X42) )
      | p1(sK132) )
    & ( ( sP18(sK147)
        & sP19(sK147)
        & ~ p1(sK147)
        & ~ p2(sK147)
        & r1(sK132,sK147) )
      | ! [X38] :
          ( ! [X39] :
              ( ! [X40] : ~ r1(X39,X40)
              | p1(X39)
              | p2(X39)
              | p3(X39)
              | p4(X39)
              | ~ r1(X38,X39) )
          | p1(X38)
          | p2(X38)
          | p3(X38)
          | p4(X38)
          | ~ r1(sK132,X38) )
      | p1(sK132)
      | p2(sK132) )
    & ( ( sP24(sK146)
        & sP23(sK146)
        & ~ p1(sK146)
        & ~ p2(sK146)
        & ~ p3(sK146)
        & r1(sK132,sK146) )
      | ! [X34] :
          ( ! [X35] :
              ( ! [X36] : ~ r1(X35,X36)
              | p1(X35)
              | p2(X35)
              | p3(X35)
              | p4(X35)
              | ~ r1(X34,X35) )
          | p1(X34)
          | p2(X34)
          | p3(X34)
          | p4(X34)
          | ~ r1(sK132,X34) )
      | p1(sK132)
      | p2(sK132)
      | p3(sK132) )
    & ( ( sP29(sK145)
        & sP28(sK145)
        & ~ p1(sK145)
        & ~ p2(sK145)
        & ~ p3(sK145)
        & ~ p4(sK145)
        & r1(sK132,sK145) )
      | ! [X30] :
          ( ! [X31] :
              ( ! [X32] : ~ r1(X31,X32)
              | p1(X31)
              | p2(X31)
              | p3(X31)
              | p4(X31)
              | ~ r1(X30,X31) )
          | p1(X30)
          | p2(X30)
          | p3(X30)
          | p4(X30)
          | ~ r1(sK132,X30) )
      | p1(sK132)
      | p2(sK132)
      | p3(sK132)
      | p4(sK132) )
    & ( ( sP34(sK144)
        & sP35(sK144)
        & ~ p1(sK144)
        & r1(sK132,sK144) )
      | ! [X25] :
          ( ! [X26] :
              ( ! [X27] :
                  ( ! [X28] : ~ r1(X27,X28)
                  | p1(X27)
                  | p2(X27)
                  | p3(X27)
                  | p4(X27)
                  | ~ r1(X26,X27) )
              | p1(X26)
              | p2(X26)
              | p3(X26)
              | p4(X26)
              | ~ r1(X25,X26) )
          | p1(X25)
          | p2(X25)
          | p3(X25)
          | p4(X25)
          | ~ r1(sK132,X25) )
      | p1(sK132) )
    & ( ( sP40(sK143)
        & sP41(sK143)
        & ~ p1(sK143)
        & ~ p2(sK143)
        & r1(sK132,sK143) )
      | ! [X20] :
          ( ! [X21] :
              ( ! [X22] :
                  ( ! [X23] : ~ r1(X22,X23)
                  | p1(X22)
                  | p2(X22)
                  | p3(X22)
                  | p4(X22)
                  | ~ r1(X21,X22) )
              | p1(X21)
              | p2(X21)
              | p3(X21)
              | p4(X21)
              | ~ r1(X20,X21) )
          | p1(X20)
          | p2(X20)
          | p3(X20)
          | p4(X20)
          | ~ r1(sK132,X20) )
      | p1(sK132)
      | p2(sK132) )
    & ( ( ! [X17] :
            ( ( ! [X18] :
                  ( ~ p2(X18)
                  | ! [X19] :
                      ( p2(X19)
                      | ~ r1(X18,X19) )
                  | ~ r1(X17,X18) )
              & ~ p2(X17) )
            | sP43(X17)
            | sP44(X17)
            | ~ r1(sK142,X17) )
        & ( ( ! [X15] :
                ( ~ p2(X15)
                | ! [X16] :
                    ( p2(X16)
                    | ~ r1(X15,X16) )
                | ~ r1(sK142,X15) )
            & ~ p2(sK142) )
          | sP45(sK142) )
        & r1(sK132,sK142) )
      | sP47(sK132) )
    & ! [X11] :
        ( ( p1(sK140(X11))
          & ~ p1(sK141(X11))
          & r1(sK140(X11),sK141(X11))
          & r1(X11,sK140(X11)) )
        | p1(X11)
        | ~ r1(sK132,X11) )
    & ~ p1(sK139)
    & r1(sK132,sK139)
    & ( sP48(sK132)
      | ! [X8] :
          ( ( p5(sK138(X8))
            & r1(X8,sK138(X8)) )
          | ~ r1(sK132,X8) ) )
    & ! [X5] :
        ( ( p3(sK136(X5))
          & ~ p3(sK137(X5))
          & r1(sK136(X5),sK137(X5))
          & r1(X5,sK136(X5)) )
        | p3(X5)
        | ~ r1(sK132,X5) )
    & ~ p3(sK135)
    & r1(sK132,sK135)
    & ( sP49(sK132)
      | ( ! [X3] :
            ( ~ p5(X3)
            | ~ r1(sK134,X3) )
        & r1(sK133,sK134)
        & ~ p1(sK133)
        & r1(sK132,sK133) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK132,sK133,sK134,sK135,sK136,sK137,sK138,sK139,sK140,sK141,sK142,sK143,sK144,sK145,sK146,sK147,sK148,sK149,sK150,sK151,sK152,sK153,sK154,sK155,sK156,sK157,sK158,sK159,sK160,sK161,sK162,sK163]),skolemize(X0,sK132),skolemize(X1,sK133),skolemize(X2,sK134),skolemize(X4,sK135),skolemize(X6,sK136(X5)),skolemize(X7,sK137(X5)),skolemize(X9,sK138(X8)),skolemize(X10,sK139),skolemize(X12,sK140(X11)),skolemize(X13,sK141(X11)),skolemize(X14,sK142),skolemize(X24,sK143),skolemize(X29,sK144),skolemize(X33,sK145),skolemize(X37,sK146),skolemize(X41,sK147),skolemize(X45,sK148),skolemize(X48,sK149),skolemize(X51,sK150),skolemize(X54,sK151),skolemize(X57,sK152),skolemize(X59,sK153),skolemize(X60,sK154),skolemize(X62,sK155),skolemize(X63,sK156),skolemize(X65,sK157),skolemize(X66,sK158),skolemize(X70,sK159(X67)),skolemize(X72,sK160),skolemize(X73,sK161),skolemize(X77,sK162(X74)),skolemize(X79,sK163(X78))],[f209]) ).

fof(f212,plain,
    ! [X2,X0,X1] :
      ( ~ r1(X1,X2)
      | ~ r1(X0,X1)
      | r1(X0,X2) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f213,plain,
    ! [X2,X0] :
      ( ~ sP49(X0)
      | p2(sK51(X2))
      | p2(X2)
      | ~ r1(X0,X2) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f214,plain,
    ! [X2,X0] :
      ( ~ sP49(X0)
      | ~ p2(sK52(X2))
      | p2(X2)
      | ~ r1(X0,X2) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f215,plain,
    ! [X2,X0] :
      ( ~ sP49(X0)
      | r1(sK51(X2),sK52(X2))
      | p2(X2)
      | ~ r1(X0,X2) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f216,plain,
    ! [X2,X0] :
      ( ~ sP49(X0)
      | r1(X2,sK51(X2))
      | p2(X2)
      | ~ r1(X0,X2) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f217,plain,
    ! [X0] :
      ( ~ sP49(X0)
      | ~ p2(sK50(X0)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f218,plain,
    ! [X0] :
      ( ~ sP49(X0)
      | r1(X0,sK50(X0)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f219,plain,
    ! [X2,X0] :
      ( ~ sP48(X0)
      | p2(sK54(X2))
      | p2(X2)
      | ~ r1(X0,X2) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f220,plain,
    ! [X2,X0] :
      ( ~ sP48(X0)
      | ~ p2(sK55(X2))
      | p2(X2)
      | ~ r1(X0,X2) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f221,plain,
    ! [X2,X0] :
      ( ~ sP48(X0)
      | r1(sK54(X2),sK55(X2))
      | p2(X2)
      | ~ r1(X0,X2) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f222,plain,
    ! [X2,X0] :
      ( ~ sP48(X0)
      | r1(X2,sK54(X2))
      | p2(X2)
      | ~ r1(X0,X2) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f223,plain,
    ! [X0] :
      ( ~ sP48(X0)
      | ~ p2(sK53(X0)) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f224,plain,
    ! [X0] :
      ( ~ sP48(X0)
      | r1(X0,sK53(X0)) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f515,plain,
    ! [X80,X78,X81] :
      ( ~ p2(X80)
      | p2(X81)
      | ~ r1(X80,X81)
      | ~ r1(sK163(X78),X80)
      | p2(X78)
      | ~ r1(sK132,X78) ),
    inference(cnf_transformation,[],[f210]) ).

fof(f516,plain,
    ! [X78] :
      ( ~ p2(sK163(X78))
      | p2(X78)
      | ~ r1(sK132,X78) ),
    inference(cnf_transformation,[],[f210]) ).

fof(f517,plain,
    ! [X78] :
      ( r1(X78,sK163(X78))
      | p2(X78)
      | ~ r1(sK132,X78) ),
    inference(cnf_transformation,[],[f210]) ).

fof(f606,plain,
    r1(sK132,sK139),
    inference(cnf_transformation,[],[f210]) ).

fof(f607,plain,
    ! [X8] :
      ( sP48(sK132)
      | p5(sK138(X8))
      | ~ r1(sK132,X8) ),
    inference(cnf_transformation,[],[f210]) ).

fof(f608,plain,
    ! [X8] :
      ( sP48(sK132)
      | r1(X8,sK138(X8))
      | ~ r1(sK132,X8) ),
    inference(cnf_transformation,[],[f210]) ).

fof(f615,plain,
    ! [X3] :
      ( sP49(sK132)
      | ~ p5(X3)
      | ~ r1(sK134,X3) ),
    inference(cnf_transformation,[],[f210]) ).

fof(f616,plain,
    ( sP49(sK132)
    | r1(sK133,sK134) ),
    inference(cnf_transformation,[],[f210]) ).

fof(f618,plain,
    ( sP49(sK132)
    | r1(sK132,sK133) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( r1(X0,X2)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_51,plain,
    ! [X0: $i] :
      ( r1(X0,sK50(X0))
      | ~ sP49(X0) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_52,negated_conjecture,
    ! [X0: $i] :
      ( ~ sP49(X0)
      | ~ p2(sK50(X0)) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | r1(X1,sK51(X1))
      | ~ sP49(X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | r1(sK51(X1),sK52(X1))
      | ~ sP49(X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | ~ sP49(X0)
      | ~ p2(sK52(X1))
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | p2(sK51(X1))
      | ~ sP49(X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_57,plain,
    ! [X0: $i] :
      ( r1(X0,sK53(X0))
      | ~ sP48(X0) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_58,negated_conjecture,
    ! [X0: $i] :
      ( ~ sP48(X0)
      | ~ p2(sK53(X0)) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | r1(X1,sK54(X1))
      | ~ sP48(X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | r1(sK54(X1),sK55(X1))
      | ~ sP48(X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | ~ sP48(X0)
      | ~ p2(sK55(X1))
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f220]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | p2(sK54(X1))
      | ~ sP48(X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_353,negated_conjecture,
    ( sP49(sK132)
    | r1(sK132,sK133) ),
    inference(cnf_transformation,[],[f618]) ).

tcf(c_355,negated_conjecture,
    ( sP49(sK132)
    | r1(sK133,sK134) ),
    inference(cnf_transformation,[],[f616]) ).

tcf(c_356,negated_conjecture,
    ! [X0: $i] :
      ( sP49(sK132)
      | ~ p5(X0)
      | ~ r1(sK134,X0) ),
    inference(cnf_transformation,[],[f615]) ).

tcf(c_363,negated_conjecture,
    ! [X0: $i] :
      ( sP48(sK132)
      | r1(X0,sK138(X0))
      | ~ r1(sK132,X0) ),
    inference(cnf_transformation,[],[f608]) ).

tcf(c_364,negated_conjecture,
    ! [X0: $i] :
      ( sP48(sK132)
      | p5(sK138(X0))
      | ~ r1(sK132,X0) ),
    inference(cnf_transformation,[],[f607]) ).

tcf(c_365,negated_conjecture,
    r1(sK132,sK139),
    inference(cnf_transformation,[],[f606]) ).

tcf(c_454,negated_conjecture,
    ! [X0: $i] :
      ( p2(X0)
      | r1(X0,sK163(X0))
      | ~ r1(sK132,X0) ),
    inference(cnf_transformation,[],[f517]) ).

tcf(c_455,negated_conjecture,
    ! [X0: $i] :
      ( p2(X0)
      | ~ p2(sK163(X0))
      | ~ r1(sK132,X0) ),
    inference(cnf_transformation,[],[f516]) ).

tcf(c_456,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p2(X2)
      | p2(X0)
      | ~ p2(X1)
      | ~ r1(sK132,X0)
      | ~ r1(X1,X2)
      | ~ r1(sK163(X0),X1) ),
    inference(cnf_transformation,[],[f515]) ).

tcf(c_592,plain,
    ( ~ sP48(sK132)
    | ~ p2(sK53(sK132)) ),
    inference(instantiation,[status(thm)],[c_58]) ).

tcf(c_593,plain,
    ( ~ sP49(sK132)
    | ~ p2(sK50(sK132)) ),
    inference(instantiation,[status(thm)],[c_52]) ).

tcf(c_626,plain,
    ( r1(sK132,sK53(sK132))
    | ~ sP48(sK132) ),
    inference(instantiation,[status(thm)],[c_57]) ).

tcf(c_627,plain,
    ( r1(sK132,sK50(sK132))
    | ~ sP49(sK132) ),
    inference(instantiation,[status(thm)],[c_51]) ).

tcf(c_899,plain,
    ! [X0: $i] :
      ( p2(sK53(X0))
      | r1(sK53(X0),sK163(sK53(X0)))
      | ~ r1(sK132,sK53(X0)) ),
    inference(instantiation,[status(thm)],[c_454]) ).

tcf(c_900,plain,
    ( p2(sK53(sK132))
    | r1(sK53(sK132),sK163(sK53(sK132)))
    | ~ r1(sK132,sK53(sK132)) ),
    inference(instantiation,[status(thm)],[c_899]) ).

tcf(c_926,plain,
    ! [X0: $i,X1: $i] :
      ( p2(sK163(X1))
      | p2(sK54(sK163(X1)))
      | ~ sP48(X0)
      | ~ r1(X0,sK163(X1)) ),
    inference(instantiation,[status(thm)],[c_62]) ).

tcf(c_936,plain,
    ! [X0: $i,X1: $i] :
      ( p2(sK163(X1))
      | r1(sK163(X1),sK54(sK163(X1)))
      | ~ sP48(X0)
      | ~ r1(X0,sK163(X1)) ),
    inference(instantiation,[status(thm)],[c_59]) ).

tcf(c_944,plain,
    ! [X0: $i,X1: $i] :
      ( p2(sK163(X1))
      | r1(sK54(sK163(X1)),sK55(sK163(X1)))
      | ~ sP48(X0)
      | ~ r1(X0,sK163(X1)) ),
    inference(instantiation,[status(thm)],[c_60]) ).

tcf(c_991,plain,
    ( sP48(sK132)
    | sP49(sK132)
    | p5(sK138(sK133)) ),
    inference(superposition,[status(thm)],[c_353,c_364]) ).

tcf(c_998,plain,
    ! [X0: $i,X1: $i] :
      ( r1(sK132,sK163(X1))
      | ~ r1(sK132,X0)
      | ~ r1(X0,sK163(X1)) ),
    inference(instantiation,[status(thm)],[c_50]) ).

tcf(c_1025,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | p2(X0)
      | ~ r1(sK132,X0)
      | ~ p2(sK54(sK163(X0)))
      | ~ r1(sK54(sK163(X0)),X1)
      | ~ r1(sK163(X0),sK54(sK163(X0))) ),
    inference(instantiation,[status(thm)],[c_456]) ).

tcf(c_1100,plain,
    ( sP48(sK132)
    | sP49(sK132)
    | ~ p5(sK138(sK134))
    | ~ r1(sK132,sK134) ),
    inference(superposition,[status(thm)],[c_363,c_356]) ).

tcf(c_1117,plain,
    ! [X0: $i] :
      ( r1(sK132,sK163(sK53(X0)))
      | ~ r1(sK132,sK53(X0))
      | ~ r1(sK53(X0),sK163(sK53(X0))) ),
    inference(instantiation,[status(thm)],[c_998]) ).

tcf(c_1118,plain,
    ( r1(sK132,sK163(sK53(sK132)))
    | ~ r1(sK132,sK53(sK132))
    | ~ r1(sK53(sK132),sK163(sK53(sK132))) ),
    inference(instantiation,[status(thm)],[c_1117]) ).

tcf(c_1202,plain,
    ( p2(sK50(sK132))
    | ~ sP49(sK132)
    | ~ p2(sK163(sK50(sK132))) ),
    inference(superposition,[status(thm)],[c_51,c_455]) ).

tcf(c_1203,plain,
    ( p2(sK53(sK132))
    | ~ sP48(sK132)
    | ~ p2(sK163(sK53(sK132))) ),
    inference(superposition,[status(thm)],[c_57,c_455]) ).

tcf(c_1367,plain,
    ! [X0: $i] :
      ( p2(sK50(X0))
      | r1(sK50(X0),sK163(sK50(X0)))
      | ~ r1(sK132,sK50(X0)) ),
    inference(instantiation,[status(thm)],[c_454]) ).

tcf(c_1368,plain,
    ( p2(sK50(sK132))
    | r1(sK50(sK132),sK163(sK50(sK132)))
    | ~ r1(sK132,sK50(sK132)) ),
    inference(instantiation,[status(thm)],[c_1367]) ).

tcf(c_1628,plain,
    ! [X0: $i,X1: $i] :
      ( p2(sK163(X1))
      | p2(sK51(sK163(X1)))
      | ~ sP49(X0)
      | ~ r1(X0,sK163(X1)) ),
    inference(instantiation,[status(thm)],[c_56]) ).

tcf(c_2014,plain,
    ! [X0: $i] :
      ( sP49(sK132)
      | r1(X0,sK134)
      | ~ r1(X0,sK133) ),
    inference(resolution,[status(thm)],[c_50,c_355]) ).

tcf(c_2015,plain,
    ( sP49(sK132)
    | r1(sK132,sK134)
    | ~ r1(sK132,sK133) ),
    inference(instantiation,[status(thm)],[c_2014]) ).

tcf(c_2042,plain,
    ! [X0: $i,X1: $i] :
      ( p2(sK163(X1))
      | r1(sK163(X1),sK51(sK163(X1)))
      | ~ sP49(X0)
      | ~ r1(X0,sK163(X1)) ),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_2091,plain,
    ! [X0: $i,X1: $i] :
      ( p2(sK163(X1))
      | ~ sP49(X0)
      | ~ p2(sK52(sK163(X1)))
      | ~ r1(X0,sK163(X1)) ),
    inference(instantiation,[status(thm)],[c_55]) ).

tcf(c_2101,plain,
    ! [X0: $i,X1: $i] :
      ( p2(sK163(X1))
      | r1(sK51(sK163(X1)),sK52(sK163(X1)))
      | ~ sP49(X0)
      | ~ r1(X0,sK163(X1)) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_2228,plain,
    ! [X0: $i] :
      ( r1(sK132,sK163(sK50(X0)))
      | ~ r1(sK132,sK50(X0))
      | ~ r1(sK50(X0),sK163(sK50(X0))) ),
    inference(instantiation,[status(thm)],[c_998]) ).

tcf(c_2231,plain,
    ( r1(sK132,sK163(sK50(sK132)))
    | ~ r1(sK132,sK50(sK132))
    | ~ r1(sK50(sK132),sK163(sK50(sK132))) ),
    inference(instantiation,[status(thm)],[c_2228]) ).

tcf(c_2337,plain,
    ( sP48(sK132)
    | sP49(sK132)
    | p5(sK138(sK134))
    | ~ r1(sK132,sK133) ),
    inference(resolution,[status(thm)],[c_2014,c_364]) ).

tcf(c_2347,plain,
    ( sP48(sK132)
    | sP49(sK132) ),
    inference(global_subsumption_just,[status(thm)],[c_991,c_353,c_1100,c_2015,c_2337]) ).

tcf(c_3070,plain,
    ! [X0: $i] :
      ( p2(sK163(sK50(X0)))
      | r1(sK51(sK163(sK50(X0))),sK52(sK163(sK50(X0))))
      | ~ sP49(sK132)
      | ~ r1(sK132,sK163(sK50(X0))) ),
    inference(instantiation,[status(thm)],[c_2101]) ).

tcf(c_3071,plain,
    ! [X0: $i] :
      ( p2(sK163(sK50(X0)))
      | r1(sK163(sK50(X0)),sK51(sK163(sK50(X0))))
      | ~ sP49(sK132)
      | ~ r1(sK132,sK163(sK50(X0))) ),
    inference(instantiation,[status(thm)],[c_2042]) ).

tcf(c_3072,plain,
    ! [X0: $i] :
      ( p2(sK163(sK50(X0)))
      | ~ sP49(sK132)
      | ~ p2(sK52(sK163(sK50(X0))))
      | ~ r1(sK132,sK163(sK50(X0))) ),
    inference(instantiation,[status(thm)],[c_2091]) ).

tcf(c_3073,plain,
    ! [X0: $i] :
      ( p2(sK163(sK50(X0)))
      | p2(sK51(sK163(sK50(X0))))
      | ~ sP49(sK132)
      | ~ r1(sK132,sK163(sK50(X0))) ),
    inference(instantiation,[status(thm)],[c_1628]) ).

tcf(c_3086,plain,
    ( p2(sK163(sK50(sK132)))
    | p2(sK51(sK163(sK50(sK132))))
    | ~ sP49(sK132)
    | ~ r1(sK132,sK163(sK50(sK132))) ),
    inference(instantiation,[status(thm)],[c_3073]) ).

tcf(c_3087,plain,
    ( p2(sK163(sK50(sK132)))
    | ~ sP49(sK132)
    | ~ p2(sK52(sK163(sK50(sK132))))
    | ~ r1(sK132,sK163(sK50(sK132))) ),
    inference(instantiation,[status(thm)],[c_3072]) ).

tcf(c_3088,plain,
    ( p2(sK163(sK50(sK132)))
    | r1(sK163(sK50(sK132)),sK51(sK163(sK50(sK132))))
    | ~ sP49(sK132)
    | ~ r1(sK132,sK163(sK50(sK132))) ),
    inference(instantiation,[status(thm)],[c_3071]) ).

tcf(c_3089,plain,
    ( p2(sK163(sK50(sK132)))
    | r1(sK51(sK163(sK50(sK132))),sK52(sK163(sK50(sK132))))
    | ~ sP49(sK132)
    | ~ r1(sK132,sK163(sK50(sK132))) ),
    inference(instantiation,[status(thm)],[c_3070]) ).

tcf(c_4955,plain,
    ! [X0: $i] :
      ( p2(sK163(sK53(X0)))
      | r1(sK54(sK163(sK53(X0))),sK55(sK163(sK53(X0))))
      | ~ sP48(sK132)
      | ~ r1(sK132,sK163(sK53(X0))) ),
    inference(instantiation,[status(thm)],[c_944]) ).

tcf(c_4966,plain,
    ! [X0: $i] :
      ( p2(sK163(sK53(X0)))
      | r1(sK163(sK53(X0)),sK54(sK163(sK53(X0))))
      | ~ sP48(sK132)
      | ~ r1(sK132,sK163(sK53(X0))) ),
    inference(instantiation,[status(thm)],[c_936]) ).

tcf(c_4967,plain,
    ( p2(sK163(sK53(sK132)))
    | r1(sK163(sK53(sK132)),sK54(sK163(sK53(sK132))))
    | ~ sP48(sK132)
    | ~ r1(sK132,sK163(sK53(sK132))) ),
    inference(instantiation,[status(thm)],[c_4966]) ).

tcf(c_4976,plain,
    ( p2(sK163(sK53(sK132)))
    | r1(sK54(sK163(sK53(sK132))),sK55(sK163(sK53(sK132))))
    | ~ sP48(sK132)
    | ~ r1(sK132,sK163(sK53(sK132))) ),
    inference(instantiation,[status(thm)],[c_4955]) ).

tcf(c_7633,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | p2(sK53(X0))
      | ~ r1(sK132,sK53(X0))
      | ~ p2(sK54(sK163(sK53(X0))))
      | ~ r1(sK54(sK163(sK53(X0))),X1)
      | ~ r1(sK163(sK53(X0)),sK54(sK163(sK53(X0)))) ),
    inference(instantiation,[status(thm)],[c_1025]) ).

tcf(c_10829,plain,
    ! [X0: $i] :
      ( p2(sK53(X0))
      | p2(sK55(sK163(sK53(X0))))
      | ~ r1(sK132,sK53(X0))
      | ~ p2(sK54(sK163(sK53(X0))))
      | ~ r1(sK163(sK53(X0)),sK54(sK163(sK53(X0))))
      | ~ r1(sK54(sK163(sK53(X0))),sK55(sK163(sK53(X0)))) ),
    inference(instantiation,[status(thm)],[c_7633]) ).

tcf(c_10830,plain,
    ( p2(sK53(sK132))
    | p2(sK55(sK163(sK53(sK132))))
    | ~ r1(sK132,sK53(sK132))
    | ~ p2(sK54(sK163(sK53(sK132))))
    | ~ r1(sK163(sK53(sK132)),sK54(sK163(sK53(sK132))))
    | ~ r1(sK54(sK163(sK53(sK132))),sK55(sK163(sK53(sK132)))) ),
    inference(instantiation,[status(thm)],[c_10829]) ).

tcf(c_20732,plain,
    ! [X0: $i] :
      ( p2(sK163(sK53(X0)))
      | p2(sK54(sK163(sK53(X0))))
      | ~ sP48(sK132)
      | ~ r1(sK132,sK163(sK53(X0))) ),
    inference(instantiation,[status(thm)],[c_926]) ).

tcf(c_20733,plain,
    ( p2(sK163(sK53(sK132)))
    | p2(sK54(sK163(sK53(sK132))))
    | ~ sP48(sK132)
    | ~ r1(sK132,sK163(sK53(sK132))) ),
    inference(instantiation,[status(thm)],[c_20732]) ).

tcf(c_32443,plain,
    ! [X0: $i] :
      ( r1(sK132,X0)
      | ~ r1(sK139,X0) ),
    inference(superposition,[status(thm)],[c_365,c_50]) ).

tcf(c_32677,plain,
    ( p2(sK139)
    | r1(sK139,sK54(sK139))
    | ~ sP48(sK132) ),
    inference(superposition,[status(thm)],[c_365,c_59]) ).

tcf(c_33277,plain,
    ( p2(sK139)
    | r1(sK132,sK54(sK139))
    | ~ sP48(sK132) ),
    inference(superposition,[status(thm)],[c_32677,c_32443]) ).

tcf(c_35700,plain,
    ! [X0: $i,X1: $i] :
      ( p2(sK163(sK53(X1)))
      | ~ sP48(X0)
      | ~ p2(sK55(sK163(sK53(X1))))
      | ~ r1(X0,sK163(sK53(X1))) ),
    inference(instantiation,[status(thm)],[c_61]) ).

tcf(c_35701,plain,
    ( p2(sK163(sK53(sK132)))
    | ~ sP48(sK132)
    | ~ p2(sK55(sK163(sK53(sK132))))
    | ~ r1(sK132,sK163(sK53(sK132))) ),
    inference(instantiation,[status(thm)],[c_35700]) ).

tcf(c_36549,plain,
    ~ sP48(sK132),
    inference(global_subsumption_just,[status(thm)],[c_33277,c_592,c_626,c_900,c_1118,c_1203,c_4967,c_4976,c_10830,c_20733,c_35701]) ).

tcf(c_41835,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p2(X2)
      | p2(sK52(sK163(X1)))
      | ~ p2(X0)
      | ~ r1(sK132,X2)
      | ~ r1(sK163(X2),X0)
      | ~ r1(X0,sK52(sK163(X1))) ),
    inference(instantiation,[status(thm)],[c_456]) ).

tcf(c_42419,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X0)
      | p2(sK52(sK163(X1)))
      | ~ r1(sK132,X0)
      | ~ p2(sK51(sK163(X0)))
      | ~ r1(sK163(X0),sK51(sK163(X0)))
      | ~ r1(sK51(sK163(X0)),sK52(sK163(X1))) ),
    inference(instantiation,[status(thm)],[c_41835]) ).

tcf(c_43199,plain,
    ! [X0: $i,X1: $i] :
      ( p2(sK50(X0))
      | p2(sK52(sK163(X1)))
      | ~ r1(sK132,sK50(X0))
      | ~ p2(sK51(sK163(sK50(X0))))
      | ~ r1(sK163(sK50(X0)),sK51(sK163(sK50(X0))))
      | ~ r1(sK51(sK163(sK50(X0))),sK52(sK163(X1))) ),
    inference(instantiation,[status(thm)],[c_42419]) ).

tcf(c_43695,plain,
    ! [X0: $i] :
      ( p2(sK50(X0))
      | p2(sK52(sK163(sK50(X0))))
      | ~ r1(sK132,sK50(X0))
      | ~ p2(sK51(sK163(sK50(X0))))
      | ~ r1(sK163(sK50(X0)),sK51(sK163(sK50(X0))))
      | ~ r1(sK51(sK163(sK50(X0))),sK52(sK163(sK50(X0)))) ),
    inference(instantiation,[status(thm)],[c_43199]) ).

tcf(c_43697,plain,
    ( p2(sK50(sK132))
    | p2(sK52(sK163(sK50(sK132))))
    | ~ r1(sK132,sK50(sK132))
    | ~ p2(sK51(sK163(sK50(sK132))))
    | ~ r1(sK163(sK50(sK132)),sK51(sK163(sK50(sK132))))
    | ~ r1(sK51(sK163(sK50(sK132))),sK52(sK163(sK50(sK132)))) ),
    inference(instantiation,[status(thm)],[c_43695]) ).

tcf(c_43698,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_43697,c_36549,c_3089,c_3088,c_3087,c_3086,c_2347,c_2231,c_1368,c_1202,c_627,c_593]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL676+1.015 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36  % Computer : n013.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Thu Sep 24 00:13:26 UTC 2026
% 0.11/0.36  % CPUTime  : 
% 0.11/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40  Running first-order theorem proving
% 0.11/0.40  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.41  
% 0.11/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41  
% 0.11/0.41  % Detected problem language: tptp
% 0.11/0.42  % Proving...
% 22.32/5.22  % SZS status Started for theBenchmark.p
% 22.32/5.22  % SZS status Theorem for theBenchmark.p
% 22.32/5.22  
% 22.32/5.22  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 22.32/5.22  
% 22.32/5.22  % ------  iProver source info
% 22.32/5.22  
% 22.32/5.22  % git: date: 2026-07-19 20:42:38 +0200
% 22.32/5.22  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 22.32/5.22  % git: non_committed_changes: false
% 22.32/5.22  
% 22.32/5.22  % ------ Parsing...
% 22.32/5.22  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 22.32/5.22  
% 22.32/5.22  % ------ Preprocessing... sf_s  rm: 327 0s  sf_e  sf_s  rm: 0 0s  sf_e % 
% 22.32/5.22  
% 22.32/5.22  % ------ Preprocessing...
% 22.32/5.22  % ------ Proving...
% 22.32/5.22  % ------ Problem Properties 
% 22.32/5.22  
% 22.32/5.22  % 
% 22.32/5.22  % clauses                               81
% 22.32/5.22  % conjectures                           33
% 22.32/5.22  % EPR                                   20
% 22.32/5.22  % Horn                                  33
% 22.32/5.22  % unary                                 5
% 22.32/5.22  % binary                                16
% 22.32/5.22  % lits                                  280
% 22.32/5.22  % lits eq                               0
% 22.32/5.22  % fd_pure                               0
% 22.32/5.22  % fd_pseudo                             0
% 22.32/5.22  % fd_cond                               0
% 22.32/5.22  % fd_pseudo_cond                        0
% 22.32/5.22  % AC symbols                            0
% 22.32/5.22  
% 22.32/5.22  % ------ Input Options Time Limit: Unbounded
% 22.32/5.22  
% 22.32/5.22  
% 22.32/5.22  % ------ 
% 22.32/5.22  % Current options:
% 22.32/5.22  % ------ 
% 22.32/5.22  
% 22.32/5.22  
% 22.32/5.22  % 
% 22.32/5.22  
% 22.32/5.22  % ------ Proving...
% 22.32/5.22  % 
% 22.32/5.22  
% 22.32/5.22  % SZS status Theorem for theBenchmark.p
% 22.32/5.22  
% 22.32/5.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 22.32/5.23  
% 22.32/5.23  
%------------------------------------------------------------------------------