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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : LCL660+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n018.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 02:07:48 PM UTC 2026

% Result   : Theorem 11.77s 3.87s
% Output   : CNFRefutation 11.77s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f30ERROR: Could not build tree for root c_48627ERROR: MakeTreeStats fails)

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

fof(f33,plain,
    ! [X0] :
      ( ~ sP22(X0)
      | ( ! [X13] :
            ( ? [X14] :
                ( p2(X14)
                & ? [X15] :
                    ( ~ p2(X15)
                    & r1(X14,X15) )
                & r1(X13,X14) )
            | p2(X13)
            | ~ r1(X0,X13) )
        & ? [X12] :
            ( ~ p2(X12)
            & r1(X0,X12) ) ) ),
    inference(nnf_transformation,[],[f31]) ).

fof(f34,plain,
    ! [X0] :
      ( ~ sP22(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,[],[f33]) ).

fof(f35,plain,
    ! [X0] :
      ( ~ sP22(X0)
      | ( ! [X2] :
            ( ( p2(sK24(X2))
              & ~ p2(sK25(X2))
              & r1(sK24(X2),sK25(X2))
              & r1(X2,sK24(X2)) )
            | p2(X2)
            | ~ r1(X0,X2) )
        & ~ p2(sK23(X0))
        & r1(X0,sK23(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24,sK25]),skolemize(X1,sK23(X0)),skolemize(X3,sK24(X2)),skolemize(X4,sK25(X2))],[f34]) ).

fof(f36,plain,
    ! [X0] :
      ( ~ sP21(X0)
      | ( ( ? [X27] :
              ( p2(X27)
              & ? [X28] :
                  ( ~ p2(X28)
                  & r1(X27,X28) )
              & r1(X0,X27) )
          | p2(X0) )
        & ( ? [X24] :
              ( ! [X25] :
                  ( ~ p2(X25)
                  | ! [X26] :
                      ( p2(X26)
                      | ~ r1(X25,X26) )
                  | ~ r1(X24,X25) )
              & ~ p2(X24)
              & r1(X0,X24) )
          | sP20(X0) ) ) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f37,plain,
    ! [X0] :
      ( ~ sP21(X0)
      | ( ( ? [X4] :
              ( p2(X4)
              & ? [X5] :
                  ( ~ p2(X5)
                  & r1(X4,X5) )
              & r1(X0,X4) )
          | p2(X0) )
        & ( ? [X1] :
              ( ! [X2] :
                  ( ~ p2(X2)
                  | ! [X3] :
                      ( p2(X3)
                      | ~ r1(X2,X3) )
                  | ~ r1(X1,X2) )
              & ~ p2(X1)
              & r1(X0,X1) )
          | sP20(X0) ) ) ),
    inference(rectify,[],[f36]) ).

fof(f38,plain,
    ! [X0] :
      ( ~ sP21(X0)
      | ( ( ( p2(sK27(X0))
            & ~ p2(sK28(X0))
            & r1(sK27(X0),sK28(X0))
            & r1(X0,sK27(X0)) )
          | p2(X0) )
        & ( ( ! [X2] :
                ( ~ p2(X2)
                | ! [X3] :
                    ( p2(X3)
                    | ~ r1(X2,X3) )
                | ~ r1(sK26(X0),X2) )
            & ~ p2(sK26(X0))
            & r1(X0,sK26(X0)) )
          | sP20(X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK26,sK27,sK28]),skolemize(X1,sK26(X0)),skolemize(X4,sK27(X0)),skolemize(X5,sK28(X0))],[f37]) ).

fof(f39,plain,
    ! [X0] :
      ( ~ sP20(X0)
      | ! [X20] :
          ( ! [X21] :
              ( ? [X22] :
                  ( p2(X22)
                  & ? [X23] :
                      ( ~ p2(X23)
                      & r1(X22,X23) )
                  & r1(X21,X22) )
              | p2(X21)
              | ~ r1(X20,X21) )
          | ~ r1(X0,X20) ) ),
    inference(nnf_transformation,[],[f29]) ).

fof(f40,plain,
    ! [X0] :
      ( ~ sP20(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ? [X3] :
                  ( p2(X3)
                  & ? [X4] :
                      ( ~ p2(X4)
                      & r1(X3,X4) )
                  & r1(X2,X3) )
              | p2(X2)
              | ~ r1(X1,X2) )
          | ~ r1(X0,X1) ) ),
    inference(rectify,[],[f39]) ).

fof(f41,plain,
    ! [X0] :
      ( ~ sP20(X0)
      | ! [X1] :
          ( ! [X2] :
              ( ( p2(sK29(X2))
                & ~ p2(sK30(X2))
                & r1(sK29(X2),sK30(X2))
                & r1(X2,sK29(X2)) )
              | p2(X2)
              | ~ r1(X1,X2) )
          | ~ r1(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK29,sK30]),skolemize(X3,sK29(X2)),skolemize(X4,sK30(X2))],[f40]) ).

fof(f42,plain,
    ! [X29] :
      ( ~ sP19(X29)
      | ( ! [X34] :
            ( ? [X35] :
                ( p2(X35)
                & ? [X36] :
                    ( ~ p2(X36)
                    & r1(X35,X36) )
                & r1(X34,X35) )
            | p2(X34)
            | ~ r1(X29,X34) )
        & ? [X30] :
            ( ? [X31] :
                ( ! [X32] :
                    ( ~ p2(X32)
                    | ! [X33] :
                        ( p2(X33)
                        | ~ r1(X32,X33) )
                    | ~ r1(X31,X32) )
                & ~ p2(X31)
                & r1(X30,X31) )
            & r1(X29,X30) ) ) ),
    inference(nnf_transformation,[],[f28]) ).

fof(f43,plain,
    ! [X0] :
      ( ~ sP19(X0)
      | ( ! [X5] :
            ( ? [X6] :
                ( p2(X6)
                & ? [X7] :
                    ( ~ p2(X7)
                    & r1(X6,X7) )
                & r1(X5,X6) )
            | p2(X5)
            | ~ r1(X0,X5) )
        & ? [X1] :
            ( ? [X2] :
                ( ! [X3] :
                    ( ~ p2(X3)
                    | ! [X4] :
                        ( p2(X4)
                        | ~ r1(X3,X4) )
                    | ~ r1(X2,X3) )
                & ~ p2(X2)
                & r1(X1,X2) )
            & r1(X0,X1) ) ) ),
    inference(rectify,[],[f42]) ).

fof(f44,plain,
    ! [X0] :
      ( ~ sP19(X0)
      | ( ! [X5] :
            ( ( p2(sK33(X5))
              & ~ p2(sK34(X5))
              & r1(sK33(X5),sK34(X5))
              & r1(X5,sK33(X5)) )
            | p2(X5)
            | ~ r1(X0,X5) )
        & ! [X3] :
            ( ~ p2(X3)
            | ! [X4] :
                ( p2(X4)
                | ~ r1(X3,X4) )
            | ~ r1(sK32(X0),X3) )
        & ~ p2(sK32(X0))
        & r1(sK31(X0),sK32(X0))
        & r1(X0,sK31(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32,sK33,sK34]),skolemize(X1,sK31(X0)),skolemize(X2,sK32(X0)),skolemize(X6,sK33(X5)),skolemize(X7,sK34(X5))],[f43]) ).

fof(f45,plain,
    ! [X39] :
      ( ~ sP18(X39)
      | ! [X40] :
          ( ( ( ? [X48] :
                  ( p2(X48)
                  & ? [X49] :
                      ( ~ p2(X49)
                      & r1(X48,X49) )
                  & r1(X40,X48) )
              | p2(X40) )
            & ( ? [X45] :
                  ( ! [X46] :
                      ( ~ p2(X46)
                      | ! [X47] :
                          ( p2(X47)
                          | ~ r1(X46,X47) )
                      | ~ r1(X45,X46) )
                  & ~ p2(X45)
                  & r1(X40,X45) )
              | sP16(X40) ) )
          | ~ r1(X39,X40) ) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f46,plain,
    ! [X0] :
      ( ~ sP18(X0)
      | ! [X1] :
          ( ( ( ? [X5] :
                  ( p2(X5)
                  & ? [X6] :
                      ( ~ p2(X6)
                      & r1(X5,X6) )
                  & r1(X1,X5) )
              | p2(X1) )
            & ( ? [X2] :
                  ( ! [X3] :
                      ( ~ p2(X3)
                      | ! [X4] :
                          ( p2(X4)
                          | ~ r1(X3,X4) )
                      | ~ r1(X2,X3) )
                  & ~ p2(X2)
                  & r1(X1,X2) )
              | sP16(X1) ) )
          | ~ r1(X0,X1) ) ),
    inference(rectify,[],[f45]) ).

fof(f47,plain,
    ! [X0] :
      ( ~ sP18(X0)
      | ! [X1] :
          ( ( ( ( p2(sK36(X1))
                & ~ p2(sK37(X1))
                & r1(sK36(X1),sK37(X1))
                & r1(X1,sK36(X1)) )
              | p2(X1) )
            & ( ( ! [X3] :
                    ( ~ p2(X3)
                    | ! [X4] :
                        ( p2(X4)
                        | ~ r1(X3,X4) )
                    | ~ r1(sK35(X1),X3) )
                & ~ p2(sK35(X1))
                & r1(X1,sK35(X1)) )
              | sP16(X1) ) )
          | ~ r1(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK35,sK36,sK37]),skolemize(X2,sK35(X1)),skolemize(X5,sK36(X1)),skolemize(X6,sK37(X1))],[f46]) ).

fof(f48,plain,
    ! [X39] :
      ( ~ sP17(X39)
      | ( ! [X54] :
            ( ? [X55] :
                ( p2(X55)
                & ? [X56] :
                    ( ~ p2(X56)
                    & r1(X55,X56) )
                & r1(X54,X55) )
            | p2(X54)
            | ~ r1(X39,X54) )
        & ? [X50] :
            ( ? [X51] :
                ( ! [X52] :
                    ( ~ p2(X52)
                    | ! [X53] :
                        ( p2(X53)
                        | ~ r1(X52,X53) )
                    | ~ r1(X51,X52) )
                & ~ p2(X51)
                & r1(X50,X51) )
            & r1(X39,X50) ) ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f49,plain,
    ! [X0] :
      ( ~ sP17(X0)
      | ( ! [X5] :
            ( ? [X6] :
                ( p2(X6)
                & ? [X7] :
                    ( ~ p2(X7)
                    & r1(X6,X7) )
                & r1(X5,X6) )
            | p2(X5)
            | ~ r1(X0,X5) )
        & ? [X1] :
            ( ? [X2] :
                ( ! [X3] :
                    ( ~ p2(X3)
                    | ! [X4] :
                        ( p2(X4)
                        | ~ r1(X3,X4) )
                    | ~ r1(X2,X3) )
                & ~ p2(X2)
                & r1(X1,X2) )
            & r1(X0,X1) ) ) ),
    inference(rectify,[],[f48]) ).

fof(f50,plain,
    ! [X0] :
      ( ~ sP17(X0)
      | ( ! [X5] :
            ( ( p2(sK40(X5))
              & ~ p2(sK41(X5))
              & r1(sK40(X5),sK41(X5))
              & r1(X5,sK40(X5)) )
            | p2(X5)
            | ~ r1(X0,X5) )
        & ! [X3] :
            ( ~ p2(X3)
            | ! [X4] :
                ( p2(X4)
                | ~ r1(X3,X4) )
            | ~ r1(sK39(X0),X3) )
        & ~ p2(sK39(X0))
        & r1(sK38(X0),sK39(X0))
        & r1(X0,sK38(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK38,sK39,sK40,sK41]),skolemize(X1,sK38(X0)),skolemize(X2,sK39(X0)),skolemize(X6,sK40(X5)),skolemize(X7,sK41(X5))],[f49]) ).

fof(f100,plain,
    ? [X0] :
      ( ! [X58] :
          ( ? [X59] :
              ( ! [X60] :
                  ( ~ p2(X60)
                  | ! [X61] :
                      ( p2(X61)
                      | ~ r1(X60,X61) )
                  | ~ r1(X59,X60) )
              & ~ p2(X59)
              & r1(X58,X59) )
          | p2(X58)
          | ~ r1(X0,X58) )
      & ( ? [X52] :
            ( ! [X54] :
                ( ( ? [X57] : r1(X54,X57)
                  & ~ p1(X54) )
                | ! [X55] :
                    ( ! [X56] : ~ r1(X55,X56)
                    | p1(X55)
                    | ~ r1(X54,X55) )
                | ~ r1(X52,X54) )
            & ? [X53] : r1(X52,X53)
            & ~ p1(X52)
            & r1(X0,X52) )
        | ! [X51] : ~ r1(X0,X51)
        | p1(X0) )
      & ( ? [X45] :
            ( ! [X47] :
                ( ( ? [X50] : r1(X47,X50)
                  & ~ p1(X47)
                  & ~ p2(X47) )
                | ! [X48] :
                    ( ! [X49] : ~ r1(X48,X49)
                    | p1(X48)
                    | p2(X48)
                    | ~ r1(X47,X48) )
                | ~ r1(X45,X47) )
            & ? [X46] : r1(X45,X46)
            & ~ p1(X45)
            & ~ p2(X45)
            & r1(X0,X45) )
        | ! [X44] : ~ r1(X0,X44)
        | p1(X0)
        | p2(X0) )
      & ( ? [X42] :
            ( sP0(X42)
            & ? [X43] : r1(X42,X43)
            & ~ p1(X42)
            & ~ p2(X42)
            & ~ p3(X42)
            & r1(X0,X42) )
        | ! [X41] : ~ r1(X0,X41)
        | p1(X0)
        | p2(X0)
        | p3(X0) )
      & ( ? [X39] :
            ( sP1(X39)
            & ? [X40] : r1(X39,X40)
            & ~ p1(X39)
            & ~ p2(X39)
            & ~ p3(X39)
            & ~ p4(X39)
            & r1(X0,X39) )
        | ! [X38] : ~ r1(X0,X38)
        | p1(X0)
        | p2(X0)
        | p3(X0)
        | p4(X0) )
      & ( ? [X37] :
            ( sP2(X37)
            & sP3(X37)
            & ~ p1(X37)
            & r1(X0,X37) )
        | ! [X35] :
            ( ! [X36] : ~ r1(X35,X36)
            | p1(X35)
            | p2(X35)
            | p3(X35)
            | p4(X35)
            | ~ r1(X0,X35) )
        | p1(X0) )
      & ( ? [X34] :
            ( sP4(X34)
            & sP5(X34)
            & ~ p1(X34)
            & ~ p2(X34)
            & r1(X0,X34) )
        | ! [X32] :
            ( ! [X33] : ~ r1(X32,X33)
            | p1(X32)
            | p2(X32)
            | p3(X32)
            | p4(X32)
            | ~ r1(X0,X32) )
        | p1(X0)
        | p2(X0) )
      & ( ? [X31] :
            ( sP8(X31)
            & sP7(X31)
            & ~ p1(X31)
            & ~ p2(X31)
            & ~ p3(X31)
            & r1(X0,X31) )
        | ! [X29] :
            ( ! [X30] : ~ r1(X29,X30)
            | p1(X29)
            | p2(X29)
            | p3(X29)
            | p4(X29)
            | ~ r1(X0,X29) )
        | p1(X0)
        | p2(X0)
        | p3(X0) )
      & ( ? [X28] :
            ( sP11(X28)
            & sP10(X28)
            & ~ p1(X28)
            & ~ p2(X28)
            & ~ p3(X28)
            & ~ p4(X28)
            & r1(X0,X28) )
        | ! [X26] :
            ( ! [X27] : ~ r1(X26,X27)
            | p1(X26)
            | p2(X26)
            | p3(X26)
            | p4(X26)
            | ~ r1(X0,X26) )
        | p1(X0)
        | p2(X0)
        | p3(X0)
        | p4(X0) )
      & ( ? [X25] :
            ( sP14(X25)
            & sP15(X25)
            & ~ p1(X25)
            & r1(X0,X25) )
        | ! [X22] :
            ( ! [X23] :
                ( ! [X24] : ~ r1(X23,X24)
                | p1(X23)
                | p2(X23)
                | p3(X23)
                | p4(X23)
                | ~ r1(X22,X23) )
            | p1(X22)
            | p2(X22)
            | p3(X22)
            | p4(X22)
            | ~ r1(X0,X22) )
        | p1(X0) )
      & ( ? [X16] :
            ( ! [X19] :
                ( ( ! [X20] :
                      ( ~ p2(X20)
                      | ! [X21] :
                          ( p2(X21)
                          | ~ r1(X20,X21) )
                      | ~ r1(X19,X20) )
                  & ~ p2(X19) )
                | sP17(X19)
                | sP18(X19)
                | ~ r1(X16,X19) )
            & ( ( ! [X17] :
                    ( ~ p2(X17)
                    | ! [X18] :
                        ( p2(X18)
                        | ~ r1(X17,X18) )
                    | ~ r1(X16,X17) )
                & ~ p2(X16) )
              | sP19(X16) )
            & r1(X0,X16) )
        | sP21(X0) )
      & ! [X13] :
          ( ? [X14] :
              ( p1(X14)
              & ? [X15] :
                  ( ~ p1(X15)
                  & r1(X14,X15) )
              & r1(X13,X14) )
          | p1(X13)
          | ~ r1(X0,X13) )
      & ? [X12] :
          ( ~ p1(X12)
          & r1(X0,X12) )
      & ( sP22(X0)
        | ! [X10] :
            ( ? [X11] :
                ( p5(X11)
                & r1(X10,X11) )
            | ~ r1(X0,X10) ) )
      & ! [X7] :
          ( ? [X8] :
              ( p3(X8)
              & ? [X9] :
                  ( ~ p3(X9)
                  & r1(X8,X9) )
              & r1(X7,X8) )
          | p3(X7)
          | ~ r1(X0,X7) )
      & ? [X6] :
          ( ~ p3(X6)
          & r1(X0,X6) )
      & ( ( ! [X3] :
              ( ? [X4] :
                  ( p2(X4)
                  & ? [X5] :
                      ( ~ p2(X5)
                      & r1(X4,X5) )
                  & r1(X3,X4) )
              | p2(X3)
              | ~ r1(X0,X3) )
          & ? [X2] :
              ( ~ p2(X2)
              & r1(X0,X2) ) )
        | ! [X1] :
            ( ~ p5(X1)
            | ~ r1(X0,X1) ) ) ),
    inference(rectify,[],[f32]) ).

fof(f101,plain,
    ( ! [X58] :
        ( ( ! [X60] :
              ( ~ p2(X60)
              | ! [X61] :
                  ( p2(X61)
                  | ~ r1(X60,X61) )
              | ~ r1(sK95(X58),X60) )
          & ~ p2(sK95(X58))
          & r1(X58,sK95(X58)) )
        | p2(X58)
        | ~ r1(sK68,X58) )
    & ( ( ! [X54] :
            ( ( r1(X54,sK94(X54))
              & ~ p1(X54) )
            | ! [X55] :
                ( ! [X56] : ~ r1(X55,X56)
                | p1(X55)
                | ~ r1(X54,X55) )
            | ~ r1(sK92,X54) )
        & r1(sK92,sK93)
        & ~ p1(sK92)
        & r1(sK68,sK92) )
      | ! [X51] : ~ r1(sK68,X51)
      | p1(sK68) )
    & ( ( ! [X47] :
            ( ( r1(X47,sK91(X47))
              & ~ p1(X47)
              & ~ p2(X47) )
            | ! [X48] :
                ( ! [X49] : ~ r1(X48,X49)
                | p1(X48)
                | p2(X48)
                | ~ r1(X47,X48) )
            | ~ r1(sK89,X47) )
        & r1(sK89,sK90)
        & ~ p1(sK89)
        & ~ p2(sK89)
        & r1(sK68,sK89) )
      | ! [X44] : ~ r1(sK68,X44)
      | p1(sK68)
      | p2(sK68) )
    & ( ( sP0(sK87)
        & r1(sK87,sK88)
        & ~ p1(sK87)
        & ~ p2(sK87)
        & ~ p3(sK87)
        & r1(sK68,sK87) )
      | ! [X41] : ~ r1(sK68,X41)
      | p1(sK68)
      | p2(sK68)
      | p3(sK68) )
    & ( ( sP1(sK85)
        & r1(sK85,sK86)
        & ~ p1(sK85)
        & ~ p2(sK85)
        & ~ p3(sK85)
        & ~ p4(sK85)
        & r1(sK68,sK85) )
      | ! [X38] : ~ r1(sK68,X38)
      | p1(sK68)
      | p2(sK68)
      | p3(sK68)
      | p4(sK68) )
    & ( ( sP2(sK84)
        & sP3(sK84)
        & ~ p1(sK84)
        & r1(sK68,sK84) )
      | ! [X35] :
          ( ! [X36] : ~ r1(X35,X36)
          | p1(X35)
          | p2(X35)
          | p3(X35)
          | p4(X35)
          | ~ r1(sK68,X35) )
      | p1(sK68) )
    & ( ( sP4(sK83)
        & sP5(sK83)
        & ~ p1(sK83)
        & ~ p2(sK83)
        & r1(sK68,sK83) )
      | ! [X32] :
          ( ! [X33] : ~ r1(X32,X33)
          | p1(X32)
          | p2(X32)
          | p3(X32)
          | p4(X32)
          | ~ r1(sK68,X32) )
      | p1(sK68)
      | p2(sK68) )
    & ( ( sP8(sK82)
        & sP7(sK82)
        & ~ p1(sK82)
        & ~ p2(sK82)
        & ~ p3(sK82)
        & r1(sK68,sK82) )
      | ! [X29] :
          ( ! [X30] : ~ r1(X29,X30)
          | p1(X29)
          | p2(X29)
          | p3(X29)
          | p4(X29)
          | ~ r1(sK68,X29) )
      | p1(sK68)
      | p2(sK68)
      | p3(sK68) )
    & ( ( sP11(sK81)
        & sP10(sK81)
        & ~ p1(sK81)
        & ~ p2(sK81)
        & ~ p3(sK81)
        & ~ p4(sK81)
        & r1(sK68,sK81) )
      | ! [X26] :
          ( ! [X27] : ~ r1(X26,X27)
          | p1(X26)
          | p2(X26)
          | p3(X26)
          | p4(X26)
          | ~ r1(sK68,X26) )
      | p1(sK68)
      | p2(sK68)
      | p3(sK68)
      | p4(sK68) )
    & ( ( sP14(sK80)
        & sP15(sK80)
        & ~ p1(sK80)
        & r1(sK68,sK80) )
      | ! [X22] :
          ( ! [X23] :
              ( ! [X24] : ~ r1(X23,X24)
              | p1(X23)
              | p2(X23)
              | p3(X23)
              | p4(X23)
              | ~ r1(X22,X23) )
          | p1(X22)
          | p2(X22)
          | p3(X22)
          | p4(X22)
          | ~ r1(sK68,X22) )
      | p1(sK68) )
    & ( ( ! [X19] :
            ( ( ! [X20] :
                  ( ~ p2(X20)
                  | ! [X21] :
                      ( p2(X21)
                      | ~ r1(X20,X21) )
                  | ~ r1(X19,X20) )
              & ~ p2(X19) )
            | sP17(X19)
            | sP18(X19)
            | ~ r1(sK79,X19) )
        & ( ( ! [X17] :
                ( ~ p2(X17)
                | ! [X18] :
                    ( p2(X18)
                    | ~ r1(X17,X18) )
                | ~ r1(sK79,X17) )
            & ~ p2(sK79) )
          | sP19(sK79) )
        & r1(sK68,sK79) )
      | sP21(sK68) )
    & ! [X13] :
        ( ( p1(sK77(X13))
          & ~ p1(sK78(X13))
          & r1(sK77(X13),sK78(X13))
          & r1(X13,sK77(X13)) )
        | p1(X13)
        | ~ r1(sK68,X13) )
    & ~ p1(sK76)
    & r1(sK68,sK76)
    & ( sP22(sK68)
      | ! [X10] :
          ( ( p5(sK75(X10))
            & r1(X10,sK75(X10)) )
          | ~ r1(sK68,X10) ) )
    & ! [X7] :
        ( ( p3(sK73(X7))
          & ~ p3(sK74(X7))
          & r1(sK73(X7),sK74(X7))
          & r1(X7,sK73(X7)) )
        | p3(X7)
        | ~ r1(sK68,X7) )
    & ~ p3(sK72)
    & r1(sK68,sK72)
    & ( ( ! [X3] :
            ( ( p2(sK70(X3))
              & ~ p2(sK71(X3))
              & r1(sK70(X3),sK71(X3))
              & r1(X3,sK70(X3)) )
            | p2(X3)
            | ~ r1(sK68,X3) )
        & ~ p2(sK69)
        & r1(sK68,sK69) )
      | ! [X1] :
          ( ~ p5(X1)
          | ~ r1(sK68,X1) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK68,sK69,sK70,sK71,sK72,sK73,sK74,sK75,sK76,sK77,sK78,sK79,sK80,sK81,sK82,sK83,sK84,sK85,sK86,sK87,sK88,sK89,sK90,sK91,sK92,sK93,sK94,sK95]),skolemize(X0,sK68),skolemize(X2,sK69),skolemize(X4,sK70(X3)),skolemize(X5,sK71(X3)),skolemize(X6,sK72),skolemize(X8,sK73(X7)),skolemize(X9,sK74(X7)),skolemize(X11,sK75(X10)),skolemize(X12,sK76),skolemize(X14,sK77(X13)),skolemize(X15,sK78(X13)),skolemize(X16,sK79),skolemize(X25,sK80),skolemize(X28,sK81),skolemize(X31,sK82),skolemize(X34,sK83),skolemize(X37,sK84),skolemize(X39,sK85),skolemize(X40,sK86),skolemize(X42,sK87),skolemize(X43,sK88),skolemize(X45,sK89),skolemize(X46,sK90),skolemize(X50,sK91(X47)),skolemize(X52,sK92),skolemize(X53,sK93),skolemize(X57,sK94(X54)),skolemize(X59,sK95(X58))],[f100]) ).

fof(f102,plain,
    ! [X0] : r1(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f103,plain,
    ! [X2,X0] :
      ( ~ sP22(X0)
      | p2(sK24(X2))
      | p2(X2)
      | ~ r1(X0,X2) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f104,plain,
    ! [X2,X0] :
      ( ~ sP22(X0)
      | ~ p2(sK25(X2))
      | p2(X2)
      | ~ r1(X0,X2) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f105,plain,
    ! [X2,X0] :
      ( ~ sP22(X0)
      | r1(sK24(X2),sK25(X2))
      | p2(X2)
      | ~ r1(X0,X2) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f106,plain,
    ! [X2,X0] :
      ( ~ sP22(X0)
      | r1(X2,sK24(X2))
      | p2(X2)
      | ~ r1(X0,X2) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f107,plain,
    ! [X0] :
      ( ~ sP22(X0)
      | ~ p2(sK23(X0)) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f108,plain,
    ! [X0] :
      ( ~ sP22(X0)
      | r1(X0,sK23(X0)) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f113,plain,
    ! [X2,X3,X0] :
      ( ~ sP21(X0)
      | ~ p2(X2)
      | p2(X3)
      | ~ r1(X2,X3)
      | ~ r1(sK26(X0),X2)
      | sP20(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f114,plain,
    ! [X0] :
      ( ~ sP21(X0)
      | ~ p2(sK26(X0))
      | sP20(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f115,plain,
    ! [X0] :
      ( ~ sP21(X0)
      | r1(X0,sK26(X0))
      | sP20(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f116,plain,
    ! [X2,X0,X1] :
      ( ~ sP20(X0)
      | p2(sK29(X2))
      | p2(X2)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f117,plain,
    ! [X2,X0,X1] :
      ( ~ sP20(X0)
      | ~ p2(sK30(X2))
      | p2(X2)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f118,plain,
    ! [X2,X0,X1] :
      ( ~ sP20(X0)
      | r1(sK29(X2),sK30(X2))
      | p2(X2)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f119,plain,
    ! [X2,X0,X1] :
      ( ~ sP20(X0)
      | r1(X2,sK29(X2))
      | p2(X2)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f120,plain,
    ! [X0,X5] :
      ( ~ sP19(X0)
      | p2(sK33(X5))
      | p2(X5)
      | ~ r1(X0,X5) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f121,plain,
    ! [X0,X5] :
      ( ~ sP19(X0)
      | ~ p2(sK34(X5))
      | p2(X5)
      | ~ r1(X0,X5) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f122,plain,
    ! [X0,X5] :
      ( ~ sP19(X0)
      | r1(sK33(X5),sK34(X5))
      | p2(X5)
      | ~ r1(X0,X5) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f123,plain,
    ! [X0,X5] :
      ( ~ sP19(X0)
      | r1(X5,sK33(X5))
      | p2(X5)
      | ~ r1(X0,X5) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f124,plain,
    ! [X3,X0,X4] :
      ( ~ sP19(X0)
      | ~ p2(X3)
      | p2(X4)
      | ~ r1(X3,X4)
      | ~ r1(sK32(X0),X3) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f125,plain,
    ! [X0] :
      ( ~ sP19(X0)
      | ~ p2(sK32(X0)) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f126,plain,
    ! [X0] :
      ( ~ sP19(X0)
      | r1(sK31(X0),sK32(X0)) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f127,plain,
    ! [X0] :
      ( ~ sP19(X0)
      | r1(X0,sK31(X0)) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ~ sP18(X0)
      | p2(sK36(X1))
      | p2(X1)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ~ sP18(X0)
      | ~ p2(sK37(X1))
      | p2(X1)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( ~ sP18(X0)
      | r1(sK36(X1),sK37(X1))
      | p2(X1)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ~ sP18(X0)
      | r1(X1,sK36(X1))
      | p2(X1)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f135,plain,
    ! [X0,X5] :
      ( ~ sP17(X0)
      | p2(sK40(X5))
      | p2(X5)
      | ~ r1(X0,X5) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f136,plain,
    ! [X0,X5] :
      ( ~ sP17(X0)
      | ~ p2(sK41(X5))
      | p2(X5)
      | ~ r1(X0,X5) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f137,plain,
    ! [X0,X5] :
      ( ~ sP17(X0)
      | r1(sK40(X5),sK41(X5))
      | p2(X5)
      | ~ r1(X0,X5) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f138,plain,
    ! [X0,X5] :
      ( ~ sP17(X0)
      | r1(X5,sK40(X5))
      | p2(X5)
      | ~ r1(X0,X5) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f241,plain,
    ! [X58,X60,X61] :
      ( ~ p2(X60)
      | p2(X61)
      | ~ r1(X60,X61)
      | ~ r1(sK95(X58),X60)
      | p2(X58)
      | ~ r1(sK68,X58) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f242,plain,
    ! [X58] :
      ( ~ p2(sK95(X58))
      | p2(X58)
      | ~ r1(sK68,X58) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f243,plain,
    ! [X58] :
      ( r1(X58,sK95(X58))
      | p2(X58)
      | ~ r1(sK68,X58) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f295,plain,
    ! [X21,X19,X20] :
      ( ~ p2(X20)
      | p2(X21)
      | ~ r1(X20,X21)
      | ~ r1(X19,X20)
      | sP17(X19)
      | sP18(X19)
      | ~ r1(sK79,X19)
      | sP21(sK68) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f296,plain,
    ! [X19] :
      ( ~ p2(X19)
      | sP17(X19)
      | sP18(X19)
      | ~ r1(sK79,X19)
      | sP21(sK68) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f297,plain,
    ! [X18,X17] :
      ( ~ p2(X17)
      | p2(X18)
      | ~ r1(X17,X18)
      | ~ r1(sK79,X17)
      | sP19(sK79)
      | sP21(sK68) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f298,plain,
    ( ~ p2(sK79)
    | sP19(sK79)
    | sP21(sK68) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f299,plain,
    ( r1(sK68,sK79)
    | sP21(sK68) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f306,plain,
    ! [X10] :
      ( sP22(sK68)
      | p5(sK75(X10))
      | ~ r1(sK68,X10) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f307,plain,
    ! [X10] :
      ( sP22(sK68)
      | r1(X10,sK75(X10))
      | ~ r1(sK68,X10) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f314,plain,
    ! [X3,X1] :
      ( p2(sK70(X3))
      | p2(X3)
      | ~ r1(sK68,X3)
      | ~ p5(X1)
      | ~ r1(sK68,X1) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f315,plain,
    ! [X3,X1] :
      ( ~ p2(sK71(X3))
      | p2(X3)
      | ~ r1(sK68,X3)
      | ~ p5(X1)
      | ~ r1(sK68,X1) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f316,plain,
    ! [X3,X1] :
      ( r1(sK70(X3),sK71(X3))
      | p2(X3)
      | ~ r1(sK68,X3)
      | ~ p5(X1)
      | ~ r1(sK68,X1) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f317,plain,
    ! [X3,X1] :
      ( r1(X3,sK70(X3))
      | p2(X3)
      | ~ r1(sK68,X3)
      | ~ p5(X1)
      | ~ r1(sK68,X1) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f318,plain,
    ! [X1] :
      ( ~ p2(sK69)
      | ~ p5(X1)
      | ~ r1(sK68,X1) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f319,plain,
    ! [X1] :
      ( r1(sK68,sK69)
      | ~ p5(X1)
      | ~ r1(sK68,X1) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_49,plain,
    ! [X0: $i] : r1(X0,X0),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_50,plain,
    ! [X0: $i] :
      ( r1(X0,sK23(X0))
      | ~ sP22(X0) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_51,plain,
    ! [X0: $i] :
      ( ~ sP22(X0)
      | ~ p2(sK23(X0)) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | r1(X1,sK24(X1))
      | ~ sP22(X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | r1(sK24(X1),sK25(X1))
      | ~ sP22(X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | ~ sP22(X0)
      | ~ p2(sK25(X1))
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | p2(sK24(X1))
      | ~ sP22(X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_56,plain,
    ! [X0: $i] :
      ( sP20(X0)
      | r1(X0,sK26(X0))
      | ~ sP21(X0) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_57,plain,
    ! [X0: $i] :
      ( sP20(X0)
      | ~ sP21(X0)
      | ~ p2(sK26(X0)) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( sP20(X0)
      | p2(X2)
      | ~ sP21(X0)
      | ~ p2(X1)
      | ~ r1(X1,X2)
      | ~ r1(sK26(X0),X1) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p2(X2)
      | r1(X2,sK29(X2))
      | ~ sP20(X0)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p2(X2)
      | r1(sK29(X2),sK30(X2))
      | ~ sP20(X0)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p2(X2)
      | ~ sP20(X0)
      | ~ p2(sK30(X2))
      | ~ r1(X1,X2)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_66,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p2(X2)
      | p2(sK29(X2))
      | ~ sP20(X0)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_67,plain,
    ! [X0: $i] :
      ( r1(X0,sK31(X0))
      | ~ sP19(X0) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_68,plain,
    ! [X0: $i] :
      ( r1(sK31(X0),sK32(X0))
      | ~ sP19(X0) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_69,plain,
    ! [X0: $i] :
      ( ~ sP19(X0)
      | ~ p2(sK32(X0)) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_70,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p2(X2)
      | ~ sP19(X0)
      | ~ p2(X1)
      | ~ r1(X1,X2)
      | ~ r1(sK32(X0),X1) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | r1(X1,sK33(X1))
      | ~ sP19(X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | r1(sK33(X1),sK34(X1))
      | ~ sP19(X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_73,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | ~ sP19(X0)
      | ~ p2(sK34(X1))
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | p2(sK33(X1))
      | ~ sP19(X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_78,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | r1(X1,sK36(X1))
      | ~ sP18(X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_79,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | r1(sK36(X1),sK37(X1))
      | ~ sP18(X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_80,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | ~ sP18(X0)
      | ~ p2(sK37(X1))
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_81,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | p2(sK36(X1))
      | ~ sP18(X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_86,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | r1(X1,sK40(X1))
      | ~ sP17(X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_87,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | r1(sK40(X1),sK41(X1))
      | ~ sP17(X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_88,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | ~ sP17(X0)
      | ~ p2(sK41(X1))
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_89,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | p2(sK40(X1))
      | ~ sP17(X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i] :
      ( r1(sK68,sK69)
      | ~ p5(X0)
      | ~ r1(sK68,X0) ),
    inference(cnf_transformation,[],[f319]) ).

tcf(c_189,negated_conjecture,
    ! [X0: $i] :
      ( ~ p2(sK69)
      | ~ p5(X0)
      | ~ r1(sK68,X0) ),
    inference(cnf_transformation,[],[f318]) ).

tcf(c_190,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( p2(X0)
      | r1(X0,sK70(X0))
      | ~ p5(X1)
      | ~ r1(sK68,X1)
      | ~ r1(sK68,X0) ),
    inference(cnf_transformation,[],[f317]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( p2(X0)
      | r1(sK70(X0),sK71(X0))
      | ~ p5(X1)
      | ~ r1(sK68,X1)
      | ~ r1(sK68,X0) ),
    inference(cnf_transformation,[],[f316]) ).

tcf(c_192,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( p2(X0)
      | ~ p5(X1)
      | ~ p2(sK71(X0))
      | ~ r1(sK68,X1)
      | ~ r1(sK68,X0) ),
    inference(cnf_transformation,[],[f315]) ).

tcf(c_193,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( p2(X0)
      | p2(sK70(X0))
      | ~ p5(X1)
      | ~ r1(sK68,X1)
      | ~ r1(sK68,X0) ),
    inference(cnf_transformation,[],[f314]) ).

tcf(c_200,negated_conjecture,
    ! [X0: $i] :
      ( sP22(sK68)
      | r1(X0,sK75(X0))
      | ~ r1(sK68,X0) ),
    inference(cnf_transformation,[],[f307]) ).

tcf(c_201,negated_conjecture,
    ! [X0: $i] :
      ( sP22(sK68)
      | p5(sK75(X0))
      | ~ r1(sK68,X0) ),
    inference(cnf_transformation,[],[f306]) ).

tcf(c_208,negated_conjecture,
    ( sP21(sK68)
    | r1(sK68,sK79) ),
    inference(cnf_transformation,[],[f299]) ).

tcf(c_209,negated_conjecture,
    ( sP19(sK79)
    | sP21(sK68)
    | ~ p2(sK79) ),
    inference(cnf_transformation,[],[f298]) ).

tcf(c_210,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( sP19(sK79)
      | sP21(sK68)
      | p2(X1)
      | ~ p2(X0)
      | ~ r1(sK79,X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f297]) ).

tcf(c_211,negated_conjecture,
    ! [X0: $i] :
      ( sP21(sK68)
      | sP17(X0)
      | sP18(X0)
      | ~ p2(X0)
      | ~ r1(sK79,X0) ),
    inference(cnf_transformation,[],[f296]) ).

tcf(c_212,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( sP21(sK68)
      | sP17(X0)
      | sP18(X0)
      | p2(X2)
      | ~ p2(X1)
      | ~ r1(sK79,X0)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f295]) ).

tcf(c_264,negated_conjecture,
    ! [X0: $i] :
      ( p2(X0)
      | r1(X0,sK95(X0))
      | ~ r1(sK68,X0) ),
    inference(cnf_transformation,[],[f243]) ).

tcf(c_265,negated_conjecture,
    ! [X0: $i] :
      ( p2(X0)
      | ~ p2(sK95(X0))
      | ~ r1(sK68,X0) ),
    inference(cnf_transformation,[],[f242]) ).

tcf(c_266,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p2(X2)
      | p2(X0)
      | ~ p2(X1)
      | ~ r1(sK68,X0)
      | ~ r1(X1,X2)
      | ~ r1(sK95(X0),X1) ),
    inference(cnf_transformation,[],[f241]) ).

tcf(c_267,plain,
    r1(sK68,sK68),
    inference(instantiation,[status(thm)],[c_49]) ).

tcf(c_318,plain,
    ( ~ sP22(sK68)
    | ~ p2(sK23(sK68)) ),
    inference(instantiation,[status(thm)],[c_51]) ).

tcf(c_319,plain,
    ( r1(sK68,sK23(sK68))
    | ~ sP22(sK68) ),
    inference(instantiation,[status(thm)],[c_50]) ).

tcf(c_339,plain,
    ( sP20(sK68)
    | ~ sP21(sK68)
    | ~ p2(sK26(sK68)) ),
    inference(instantiation,[status(thm)],[c_57]) ).

tcf(c_340,plain,
    ( sP20(sK68)
    | r1(sK68,sK26(sK68))
    | ~ sP21(sK68) ),
    inference(instantiation,[status(thm)],[c_56]) ).

tcf(c_345,plain,
    ( sP22(sK68)
    | r1(sK68,sK75(sK68))
    | ~ r1(sK68,sK68) ),
    inference(instantiation,[status(thm)],[c_200]) ).

tcf(c_2905,plain,
    ! [X0: $i] :
      ( sP22(sK68)
      | ~ p2(sK69)
      | ~ r1(sK68,X0)
      | ~ r1(sK68,sK75(X0)) ),
    inference(resolution,[status(thm)],[c_189,c_201]) ).

tcf(c_2906,plain,
    ( sP22(sK68)
    | ~ p2(sK69)
    | ~ r1(sK68,sK68)
    | ~ r1(sK68,sK75(sK68)) ),
    inference(instantiation,[status(thm)],[c_2905]) ).

tcf(c_2907,plain,
    ( sP22(sK68)
    | ~ p2(sK69) ),
    inference(global_subsumption_just,[status(thm)],[c_2905,c_267,c_345,c_2906]) ).

tcf(c_2915,plain,
    ! [X0: $i] :
      ( sP22(sK68)
      | r1(sK68,sK69)
      | ~ r1(sK68,X0)
      | ~ r1(sK68,sK75(X0)) ),
    inference(resolution,[status(thm)],[c_188,c_201]) ).

tcf(c_2916,plain,
    ( sP22(sK68)
    | r1(sK68,sK69)
    | ~ r1(sK68,sK68)
    | ~ r1(sK68,sK75(sK68)) ),
    inference(instantiation,[status(thm)],[c_2915]) ).

tcf(c_2917,plain,
    ( sP22(sK68)
    | r1(sK68,sK69) ),
    inference(global_subsumption_just,[status(thm)],[c_2915,c_267,c_345,c_2916]) ).

tcf(c_2925,plain,
    ! [X0: $i,X1: $i] :
      ( sP22(sK68)
      | p2(X1)
      | p2(sK70(X1))
      | ~ r1(sK68,X1)
      | ~ r1(sK68,X0)
      | ~ r1(sK68,sK75(X0)) ),
    inference(resolution,[status(thm)],[c_193,c_201]) ).

tcf(c_2945,plain,
    ! [X0: $i,X1: $i] :
      ( sP22(sK68)
      | p2(X1)
      | ~ p2(sK71(X1))
      | ~ r1(sK68,X1)
      | ~ r1(sK68,X0)
      | ~ r1(sK68,sK75(X0)) ),
    inference(resolution,[status(thm)],[c_192,c_201]) ).

tcf(c_2965,plain,
    ! [X0: $i,X1: $i] :
      ( sP22(sK68)
      | p2(X1)
      | r1(sK70(X1),sK71(X1))
      | ~ r1(sK68,X1)
      | ~ r1(sK68,X0)
      | ~ r1(sK68,sK75(X0)) ),
    inference(resolution,[status(thm)],[c_191,c_201]) ).

tcf(c_2985,plain,
    ! [X0: $i,X1: $i] :
      ( sP22(sK68)
      | p2(X1)
      | r1(X1,sK70(X1))
      | ~ r1(sK68,X1)
      | ~ r1(sK68,X0)
      | ~ r1(sK68,sK75(X0)) ),
    inference(resolution,[status(thm)],[c_190,c_201]) ).

tcf(c_3623,plain,
    ( sP21(sK68)
    | ~ p2(sK79)
    | ~ p2(sK32(sK79)) ),
    inference(resolution,[status(thm)],[c_69,c_209]) ).

tcf(c_3652,plain,
    ( sP21(sK68)
    | r1(sK31(sK79),sK32(sK79))
    | ~ p2(sK79) ),
    inference(resolution,[status(thm)],[c_68,c_209]) ).

tcf(c_3681,plain,
    ( sP21(sK68)
    | r1(sK79,sK31(sK79))
    | ~ p2(sK79) ),
    inference(resolution,[status(thm)],[c_67,c_209]) ).

tcf(c_11726,plain,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | p2(X0)
      | ~ r1(sK68,X0)
      | r1(X0,sK70(X0)) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_2985]) ).

tcf(c_11727,plain,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ r1(sK68,sK75(X0))
      | ~ r1(sK68,X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_2985]) ).

tcf(c_11728,plain,
    ( iPr_def_11
    | iPr_def_10
    | sP22(sK68) ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2985]) ).

tcf(c_11729,plain,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | p2(X0)
      | ~ r1(sK68,X0)
      | r1(sK70(X0),sK71(X0)) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_2965]) ).

tcf(c_11730,plain,
    ( iPr_def_12
    | iPr_def_11
    | sP22(sK68) ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2965]) ).

tcf(c_11731,plain,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ p2(sK71(X0))
      | p2(X0)
      | ~ r1(sK68,X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_2945]) ).

tcf(c_11732,plain,
    ( iPr_def_13
    | iPr_def_11
    | sP22(sK68) ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2945]) ).

tcf(c_11733,plain,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | p2(sK70(X0))
      | p2(X0)
      | ~ r1(sK68,X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_2925]) ).

tcf(c_11734,plain,
    ( iPr_def_14
    | iPr_def_11
    | sP22(sK68) ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2925]) ).

tcf(c_11735,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ~ iPr_def_15
      | p2(X1)
      | ~ p2(X0)
      | ~ r1(sK79,X0)
      | ~ r1(X0,X1) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_210]) ).

tcf(c_11736,negated_conjecture,
    ( iPr_def_15
    | sP19(sK79)
    | sP21(sK68) ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_210]) ).

tcf(c_11737,plain,
    ( ~ iPr_def_11
    | ~ r1(sK68,sK68)
    | ~ r1(sK68,sK75(sK68)) ),
    inference(instantiation,[status(thm)],[c_11727]) ).

tcf(c_11783,plain,
    ! [X0: $i] :
      ( p2(sK23(X0))
      | r1(sK23(X0),sK95(sK23(X0)))
      | ~ r1(sK68,sK23(X0)) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_11784,plain,
    ( p2(sK23(sK68))
    | r1(sK23(sK68),sK95(sK23(sK68)))
    | ~ r1(sK68,sK23(sK68)) ),
    inference(instantiation,[status(thm)],[c_11783]) ).

tcf(c_11923,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p2(sK95(sK23(X1)))
      | r1(sK29(sK95(sK23(X1))),sK30(sK95(sK23(X1))))
      | ~ sP20(X2)
      | ~ r1(X2,X0)
      | ~ r1(X0,sK95(sK23(X1))) ),
    inference(instantiation,[status(thm)],[c_64]) ).

tcf(c_11928,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p2(sK95(sK23(X1)))
      | ~ sP20(X2)
      | ~ r1(X2,X0)
      | ~ p2(sK30(sK95(sK23(X1))))
      | ~ r1(X0,sK95(sK23(X1))) ),
    inference(instantiation,[status(thm)],[c_65]) ).

tcf(c_11929,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p2(sK95(sK23(X1)))
      | r1(sK95(sK23(X1)),sK29(sK95(sK23(X1))))
      | ~ sP20(X2)
      | ~ r1(X2,X0)
      | ~ r1(X0,sK95(sK23(X1))) ),
    inference(instantiation,[status(thm)],[c_63]) ).

tcf(c_11931,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p2(sK95(sK23(X1)))
      | p2(sK29(sK95(sK23(X1))))
      | ~ sP20(X2)
      | ~ r1(X2,X0)
      | ~ r1(X0,sK95(sK23(X1))) ),
    inference(instantiation,[status(thm)],[c_66]) ).

tcf(c_12092,plain,
    ( p2(sK69)
    | r1(sK69,sK95(sK69))
    | ~ r1(sK68,sK69) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_12331,plain,
    ! [X0: $i,X1: $i] :
      ( p2(sK95(sK69))
      | r1(sK29(sK95(sK69)),sK30(sK95(sK69)))
      | ~ sP20(X1)
      | ~ r1(X1,X0)
      | ~ r1(X0,sK95(sK69)) ),
    inference(instantiation,[status(thm)],[c_64]) ).

tcf(c_12336,plain,
    ! [X0: $i,X1: $i] :
      ( p2(sK95(sK69))
      | ~ sP20(X1)
      | ~ r1(X1,X0)
      | ~ p2(sK30(sK95(sK69)))
      | ~ r1(X0,sK95(sK69)) ),
    inference(instantiation,[status(thm)],[c_65]) ).

tcf(c_12337,plain,
    ! [X0: $i,X1: $i] :
      ( p2(sK95(sK69))
      | r1(sK95(sK69),sK29(sK95(sK69)))
      | ~ sP20(X1)
      | ~ r1(X1,X0)
      | ~ r1(X0,sK95(sK69)) ),
    inference(instantiation,[status(thm)],[c_63]) ).

tcf(c_12339,plain,
    ! [X0: $i,X1: $i] :
      ( p2(sK95(sK69))
      | p2(sK29(sK95(sK69)))
      | ~ sP20(X1)
      | ~ r1(X1,X0)
      | ~ r1(X0,sK95(sK69)) ),
    inference(instantiation,[status(thm)],[c_66]) ).

tcf(c_12357,plain,
    ( sP22(sK68)
    | iPr_def_10 ),
    inference(global_subsumption_just,[status(thm)],[c_11728,c_267,c_345,c_11728,c_11737]) ).

tcf(c_12358,plain,
    ( iPr_def_10
    | sP22(sK68) ),
    inference(renaming,[status(thm)],[c_12357]) ).

tcf(c_12359,plain,
    ( iPr_def_12
    | sP22(sK68) ),
    inference(global_subsumption_just,[status(thm)],[c_11730,c_267,c_345,c_11730,c_11737]) ).

tcf(c_12361,plain,
    ( iPr_def_13
    | sP22(sK68) ),
    inference(global_subsumption_just,[status(thm)],[c_11732,c_267,c_345,c_11732,c_11737]) ).

tcf(c_12363,plain,
    ( iPr_def_14
    | sP22(sK68) ),
    inference(global_subsumption_just,[status(thm)],[c_11734,c_267,c_345,c_11734,c_11737]) ).

tcf(c_12380,plain,
    ! [X0: $i] :
      ( p2(sK26(X0))
      | p2(sK70(sK26(X0)))
      | ~ iPr_def_14
      | ~ r1(sK68,sK26(X0)) ),
    inference(instantiation,[status(thm)],[c_11733]) ).

tcf(c_12381,plain,
    ! [X0: $i] :
      ( p2(sK26(X0))
      | ~ iPr_def_13
      | ~ p2(sK71(sK26(X0)))
      | ~ r1(sK68,sK26(X0)) ),
    inference(instantiation,[status(thm)],[c_11731]) ).

tcf(c_12401,plain,
    ! [X0: $i,X1: $i] :
      ( p2(sK26(X1))
      | ~ sP22(X0)
      | ~ p2(sK25(sK26(X1)))
      | ~ r1(X0,sK26(X1)) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_12412,plain,
    ( p2(sK26(sK68))
    | ~ sP22(sK68)
    | ~ p2(sK25(sK26(sK68)))
    | ~ r1(sK68,sK26(sK68)) ),
    inference(instantiation,[status(thm)],[c_12401]) ).

tcf(c_12555,plain,
    ( p2(sK23(sK68))
    | ~ sP22(sK68)
    | ~ p2(sK95(sK23(sK68))) ),
    inference(superposition,[status(thm)],[c_50,c_265]) ).

tcf(c_12636,plain,
    ( p2(sK69)
    | sP22(sK68)
    | ~ p2(sK95(sK69)) ),
    inference(superposition,[status(thm)],[c_2917,c_265]) ).

tcf(c_12649,plain,
    ! [X0: $i,X1: $i] :
      ( p2(sK95(sK23(X0)))
      | ~ sP20(X1)
      | ~ r1(X1,sK23(X0))
      | ~ p2(sK30(sK95(sK23(X0))))
      | ~ r1(sK23(X0),sK95(sK23(X0))) ),
    inference(instantiation,[status(thm)],[c_11928]) ).

tcf(c_12650,plain,
    ( p2(sK95(sK23(sK68)))
    | ~ sP20(sK68)
    | ~ r1(sK68,sK23(sK68))
    | ~ p2(sK30(sK95(sK23(sK68))))
    | ~ r1(sK23(sK68),sK95(sK23(sK68))) ),
    inference(instantiation,[status(thm)],[c_12649]) ).

tcf(c_12658,plain,
    ! [X0: $i,X1: $i] :
      ( p2(sK95(sK23(X0)))
      | r1(sK29(sK95(sK23(X0))),sK30(sK95(sK23(X0))))
      | ~ sP20(X1)
      | ~ r1(X1,sK23(X0))
      | ~ r1(sK23(X0),sK95(sK23(X0))) ),
    inference(instantiation,[status(thm)],[c_11923]) ).

tcf(c_12659,plain,
    ( p2(sK95(sK23(sK68)))
    | r1(sK29(sK95(sK23(sK68))),sK30(sK95(sK23(sK68))))
    | ~ sP20(sK68)
    | ~ r1(sK68,sK23(sK68))
    | ~ r1(sK23(sK68),sK95(sK23(sK68))) ),
    inference(instantiation,[status(thm)],[c_12658]) ).

tcf(c_12663,plain,
    ! [X0: $i,X1: $i] :
      ( p2(sK95(sK23(X0)))
      | r1(sK95(sK23(X0)),sK29(sK95(sK23(X0))))
      | ~ sP20(X1)
      | ~ r1(X1,sK23(X0))
      | ~ r1(sK23(X0),sK95(sK23(X0))) ),
    inference(instantiation,[status(thm)],[c_11929]) ).

tcf(c_12664,plain,
    ( p2(sK95(sK23(sK68)))
    | r1(sK95(sK23(sK68)),sK29(sK95(sK23(sK68))))
    | ~ sP20(sK68)
    | ~ r1(sK68,sK23(sK68))
    | ~ r1(sK23(sK68),sK95(sK23(sK68))) ),
    inference(instantiation,[status(thm)],[c_12663]) ).

tcf(c_12668,plain,
    ! [X0: $i,X1: $i] :
      ( p2(sK95(sK23(X0)))
      | p2(sK29(sK95(sK23(X0))))
      | ~ sP20(X1)
      | ~ r1(X1,sK23(X0))
      | ~ r1(sK23(X0),sK95(sK23(X0))) ),
    inference(instantiation,[status(thm)],[c_11931]) ).

tcf(c_12669,plain,
    ( p2(sK95(sK23(sK68)))
    | p2(sK29(sK95(sK23(sK68))))
    | ~ sP20(sK68)
    | ~ r1(sK68,sK23(sK68))
    | ~ r1(sK23(sK68),sK95(sK23(sK68))) ),
    inference(instantiation,[status(thm)],[c_12668]) ).

tcf(c_12705,plain,
    ! [X0: $i] :
      ( p2(sK95(sK69))
      | ~ sP20(X0)
      | ~ r1(X0,sK69)
      | ~ p2(sK30(sK95(sK69)))
      | ~ r1(sK69,sK95(sK69)) ),
    inference(instantiation,[status(thm)],[c_12336]) ).

tcf(c_12706,plain,
    ( p2(sK95(sK69))
    | ~ sP20(sK68)
    | ~ r1(sK68,sK69)
    | ~ p2(sK30(sK95(sK69)))
    | ~ r1(sK69,sK95(sK69)) ),
    inference(instantiation,[status(thm)],[c_12705]) ).

tcf(c_12748,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p2(X2)
      | p2(sK30(sK95(sK23(X1))))
      | ~ p2(X0)
      | ~ r1(sK68,X2)
      | ~ r1(sK95(X2),X0)
      | ~ r1(X0,sK30(sK95(sK23(X1)))) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_12868,plain,
    ! [X0: $i] :
      ( p2(sK95(sK69))
      | r1(sK29(sK95(sK69)),sK30(sK95(sK69)))
      | ~ sP20(X0)
      | ~ r1(X0,sK69)
      | ~ r1(sK69,sK95(sK69)) ),
    inference(instantiation,[status(thm)],[c_12331]) ).

tcf(c_12869,plain,
    ( p2(sK95(sK69))
    | r1(sK29(sK95(sK69)),sK30(sK95(sK69)))
    | ~ sP20(sK68)
    | ~ r1(sK68,sK69)
    | ~ r1(sK69,sK95(sK69)) ),
    inference(instantiation,[status(thm)],[c_12868]) ).

tcf(c_12873,plain,
    ! [X0: $i] :
      ( p2(sK95(sK69))
      | r1(sK95(sK69),sK29(sK95(sK69)))
      | ~ sP20(X0)
      | ~ r1(X0,sK69)
      | ~ r1(sK69,sK95(sK69)) ),
    inference(instantiation,[status(thm)],[c_12337]) ).

tcf(c_12874,plain,
    ( p2(sK95(sK69))
    | r1(sK95(sK69),sK29(sK95(sK69)))
    | ~ sP20(sK68)
    | ~ r1(sK68,sK69)
    | ~ r1(sK69,sK95(sK69)) ),
    inference(instantiation,[status(thm)],[c_12873]) ).

tcf(c_12878,plain,
    ! [X0: $i] :
      ( p2(sK95(sK69))
      | p2(sK29(sK95(sK69)))
      | ~ sP20(X0)
      | ~ r1(X0,sK69)
      | ~ r1(sK69,sK95(sK69)) ),
    inference(instantiation,[status(thm)],[c_12339]) ).

tcf(c_12879,plain,
    ( p2(sK95(sK69))
    | p2(sK29(sK95(sK69)))
    | ~ sP20(sK68)
    | ~ r1(sK68,sK69)
    | ~ r1(sK69,sK95(sK69)) ),
    inference(instantiation,[status(thm)],[c_12878]) ).

tcf(c_13246,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | p2(sK30(sK95(sK69)))
      | ~ p2(X0)
      | ~ r1(sK68,X1)
      | ~ r1(sK95(X1),X0)
      | ~ r1(X0,sK30(sK95(sK69))) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_13430,plain,
    ( sP21(sK68)
    | p2(sK79)
    | p2(sK70(sK79))
    | ~ iPr_def_14 ),
    inference(resolution,[status(thm)],[c_11733,c_208]) ).

tcf(c_13583,plain,
    ! [X0: $i] :
      ( sP20(X0)
      | p2(sK26(X0))
      | p2(sK24(sK26(X0)))
      | ~ sP21(X0)
      | ~ sP22(X0) ),
    inference(superposition,[status(thm)],[c_56,c_55]) ).

tcf(c_13598,plain,
    ( sP21(sK68)
    | p2(sK79)
    | p2(sK24(sK79))
    | ~ sP22(sK68) ),
    inference(superposition,[status(thm)],[c_208,c_55]) ).

tcf(c_13622,plain,
    ! [X0: $i,X1: $i] :
      ( p2(sK23(X0))
      | p2(sK30(sK95(sK23(X1))))
      | ~ r1(sK68,sK23(X0))
      | ~ p2(sK29(sK95(sK23(X0))))
      | ~ r1(sK95(sK23(X0)),sK29(sK95(sK23(X0))))
      | ~ r1(sK29(sK95(sK23(X0))),sK30(sK95(sK23(X1)))) ),
    inference(instantiation,[status(thm)],[c_12748]) ).

tcf(c_13623,plain,
    ( p2(sK23(sK68))
    | p2(sK30(sK95(sK23(sK68))))
    | ~ r1(sK68,sK23(sK68))
    | ~ p2(sK29(sK95(sK23(sK68))))
    | ~ r1(sK95(sK23(sK68)),sK29(sK95(sK23(sK68))))
    | ~ r1(sK29(sK95(sK23(sK68))),sK30(sK95(sK23(sK68)))) ),
    inference(instantiation,[status(thm)],[c_13622]) ).

tcf(c_13667,plain,
    ( sP21(sK68)
    | sP17(sK31(sK79))
    | sP18(sK31(sK79))
    | ~ sP19(sK79)
    | ~ p2(sK31(sK79)) ),
    inference(resolution,[status(thm)],[c_211,c_67]) ).

tcf(c_13785,plain,
    ! [X0: $i] :
      ( p2(X0)
      | p2(sK95(X0))
      | p2(sK33(sK95(X0)))
      | ~ sP19(X0)
      | ~ r1(sK68,X0) ),
    inference(superposition,[status(thm)],[c_264,c_74]) ).

tcf(c_14370,plain,
    ! [X0: $i,X1: $i] :
      ( sP21(sK68)
      | p2(X1)
      | sP17(sK31(sK79))
      | sP18(sK31(sK79))
      | ~ sP19(sK79)
      | ~ p2(X0)
      | ~ r1(X0,X1)
      | ~ r1(sK31(sK79),X0) ),
    inference(resolution,[status(thm)],[c_212,c_67]) ).

tcf(c_14427,plain,
    ! [X0: $i] :
      ( p2(X0)
      | p2(sK30(sK95(sK69)))
      | ~ r1(sK68,X0)
      | ~ p2(sK29(sK95(sK69)))
      | ~ r1(sK95(X0),sK29(sK95(sK69)))
      | ~ r1(sK29(sK95(sK69)),sK30(sK95(sK69))) ),
    inference(instantiation,[status(thm)],[c_13246]) ).

tcf(c_15030,plain,
    ! [X0: $i] :
      ( sP20(X0)
      | p2(sK26(X0))
      | r1(sK26(X0),sK24(sK26(X0)))
      | ~ sP21(X0)
      | ~ sP22(X0) ),
    inference(superposition,[status(thm)],[c_56,c_52]) ).

tcf(c_15509,plain,
    ( sP21(sK68)
    | p2(sK79)
    | ~ sP22(sK68)
    | ~ p2(sK25(sK79)) ),
    inference(superposition,[status(thm)],[c_208,c_54]) ).

tcf(c_16094,plain,
    ! [X0: $i] :
      ( p2(X0)
      | p2(sK95(X0))
      | r1(sK95(X0),sK33(sK95(X0)))
      | ~ sP19(X0)
      | ~ r1(sK68,X0) ),
    inference(superposition,[status(thm)],[c_264,c_71]) ).

tcf(c_16929,plain,
    ( sP21(sK68)
    | p2(sK79)
    | r1(sK79,sK24(sK79))
    | ~ sP22(sK68) ),
    inference(resolution,[status(thm)],[c_52,c_208]) ).

tcf(c_17292,plain,
    ! [X0: $i] :
      ( p2(X0)
      | p2(sK95(X0))
      | ~ sP19(X0)
      | ~ r1(sK68,X0)
      | ~ p2(sK34(sK95(X0))) ),
    inference(superposition,[status(thm)],[c_264,c_73]) ).

tcf(c_17328,plain,
    ( p2(sK69)
    | p2(sK30(sK95(sK69)))
    | ~ r1(sK68,sK69)
    | ~ p2(sK29(sK95(sK69)))
    | ~ r1(sK95(sK69),sK29(sK95(sK69)))
    | ~ r1(sK29(sK95(sK69)),sK30(sK95(sK69))) ),
    inference(instantiation,[status(thm)],[c_14427]) ).

tcf(c_17516,plain,
    ! [X0: $i] :
      ( p2(sK31(X0))
      | r1(sK31(X0),sK33(sK31(X0)))
      | ~ sP19(X0) ),
    inference(resolution,[status(thm)],[c_71,c_67]) ).

tcf(c_17532,plain,
    ! [X0: $i] :
      ( p2(X0)
      | p2(sK95(X0))
      | r1(sK95(X0),sK33(sK95(X0)))
      | ~ sP19(X0)
      | ~ r1(sK68,X0) ),
    inference(resolution,[status(thm)],[c_71,c_264]) ).

tcf(c_17670,plain,
    ! [X0: $i] :
      ( p2(sK32(sK79))
      | r1(sK40(sK32(sK79)),sK41(sK32(sK79)))
      | ~ sP17(X0)
      | ~ r1(X0,sK32(sK79)) ),
    inference(instantiation,[status(thm)],[c_87]) ).

tcf(c_17671,plain,
    ! [X0: $i] :
      ( p2(sK32(sK79))
      | r1(sK36(sK32(sK79)),sK37(sK32(sK79)))
      | ~ sP18(X0)
      | ~ r1(X0,sK32(sK79)) ),
    inference(instantiation,[status(thm)],[c_79]) ).

tcf(c_17674,plain,
    ! [X0: $i] :
      ( p2(sK32(sK79))
      | ~ sP17(X0)
      | ~ p2(sK41(sK32(sK79)))
      | ~ r1(X0,sK32(sK79)) ),
    inference(instantiation,[status(thm)],[c_88]) ).

tcf(c_17675,plain,
    ! [X0: $i] :
      ( p2(sK32(sK79))
      | r1(sK32(sK79),sK40(sK32(sK79)))
      | ~ sP17(X0)
      | ~ r1(X0,sK32(sK79)) ),
    inference(instantiation,[status(thm)],[c_86]) ).

tcf(c_17676,plain,
    ! [X0: $i] :
      ( p2(sK32(sK79))
      | ~ sP18(X0)
      | ~ p2(sK37(sK32(sK79)))
      | ~ r1(X0,sK32(sK79)) ),
    inference(instantiation,[status(thm)],[c_80]) ).

tcf(c_17677,plain,
    ! [X0: $i] :
      ( p2(sK32(sK79))
      | r1(sK32(sK79),sK36(sK32(sK79)))
      | ~ sP18(X0)
      | ~ r1(X0,sK32(sK79)) ),
    inference(instantiation,[status(thm)],[c_78]) ).

tcf(c_17682,plain,
    ! [X0: $i] :
      ( p2(sK32(sK79))
      | p2(sK40(sK32(sK79)))
      | ~ sP17(X0)
      | ~ r1(X0,sK32(sK79)) ),
    inference(instantiation,[status(thm)],[c_89]) ).

tcf(c_17683,plain,
    ! [X0: $i] :
      ( p2(sK32(sK79))
      | p2(sK36(sK32(sK79)))
      | ~ sP18(X0)
      | ~ r1(X0,sK32(sK79)) ),
    inference(instantiation,[status(thm)],[c_81]) ).

tcf(c_17997,plain,
    ! [X0: $i] :
      ( p2(sK31(sK79))
      | ~ sP19(X0)
      | ~ p2(sK34(sK31(sK79)))
      | ~ r1(X0,sK31(sK79)) ),
    inference(instantiation,[status(thm)],[c_73]) ).

tcf(c_18003,plain,
    ! [X0: $i] :
      ( p2(sK31(sK79))
      | p2(sK33(sK31(sK79)))
      | ~ sP19(X0)
      | ~ r1(X0,sK31(sK79)) ),
    inference(instantiation,[status(thm)],[c_74]) ).

tcf(c_18154,plain,
    ! [X0: $i] :
      ( sP21(sK68)
      | p2(sK79)
      | p2(X0)
      | ~ iPr_def_15
      | ~ sP22(sK68)
      | ~ p2(sK24(sK79))
      | ~ r1(sK24(sK79),X0) ),
    inference(resolution,[status(thm)],[c_16929,c_11735]) ).

tcf(c_18821,plain,
    ( p2(sK32(sK79))
    | ~ sP17(sK31(sK79))
    | ~ p2(sK41(sK32(sK79)))
    | ~ r1(sK31(sK79),sK32(sK79)) ),
    inference(instantiation,[status(thm)],[c_17674]) ).

tcf(c_18862,plain,
    ( p2(sK31(sK79))
    | ~ sP19(sK79)
    | ~ p2(sK34(sK31(sK79)))
    | ~ r1(sK79,sK31(sK79)) ),
    inference(instantiation,[status(thm)],[c_17997]) ).

tcf(c_19022,plain,
    ( p2(sK32(sK79))
    | r1(sK40(sK32(sK79)),sK41(sK32(sK79)))
    | ~ sP17(sK31(sK79))
    | ~ r1(sK31(sK79),sK32(sK79)) ),
    inference(instantiation,[status(thm)],[c_17670]) ).

tcf(c_19026,plain,
    ( p2(sK32(sK79))
    | r1(sK32(sK79),sK40(sK32(sK79)))
    | ~ sP17(sK31(sK79))
    | ~ r1(sK31(sK79),sK32(sK79)) ),
    inference(instantiation,[status(thm)],[c_17675]) ).

tcf(c_19030,plain,
    ( p2(sK32(sK79))
    | p2(sK40(sK32(sK79)))
    | ~ sP17(sK31(sK79))
    | ~ r1(sK31(sK79),sK32(sK79)) ),
    inference(instantiation,[status(thm)],[c_17682]) ).

tcf(c_19058,plain,
    ( p2(sK31(sK79))
    | p2(sK33(sK31(sK79)))
    | ~ sP19(sK79)
    | ~ r1(sK79,sK31(sK79)) ),
    inference(instantiation,[status(thm)],[c_18003]) ).

tcf(c_19484,plain,
    ! [X0: $i,X1: $i] :
      ( p2(sK37(sK32(sK79)))
      | ~ sP19(X1)
      | ~ p2(X0)
      | ~ r1(sK32(X1),X0)
      | ~ r1(X0,sK37(sK32(sK79))) ),
    inference(instantiation,[status(thm)],[c_70]) ).

tcf(c_19798,plain,
    ( p2(sK32(sK79))
    | p2(sK36(sK32(sK79)))
    | ~ sP18(sK31(sK79))
    | ~ r1(sK31(sK79),sK32(sK79)) ),
    inference(instantiation,[status(thm)],[c_17683]) ).

tcf(c_19799,plain,
    ( p2(sK32(sK79))
    | r1(sK32(sK79),sK36(sK32(sK79)))
    | ~ sP18(sK31(sK79))
    | ~ r1(sK31(sK79),sK32(sK79)) ),
    inference(instantiation,[status(thm)],[c_17677]) ).

tcf(c_19800,plain,
    ( p2(sK32(sK79))
    | r1(sK36(sK32(sK79)),sK37(sK32(sK79)))
    | ~ sP18(sK31(sK79))
    | ~ r1(sK31(sK79),sK32(sK79)) ),
    inference(instantiation,[status(thm)],[c_17671]) ).

tcf(c_19804,plain,
    ( p2(sK32(sK79))
    | ~ sP18(sK31(sK79))
    | ~ p2(sK37(sK32(sK79)))
    | ~ r1(sK31(sK79),sK32(sK79)) ),
    inference(instantiation,[status(thm)],[c_17676]) ).

tcf(c_20098,plain,
    ( p2(sK79)
    | ~ iPr_def_13
    | ~ p2(sK71(sK79))
    | ~ r1(sK68,sK79) ),
    inference(instantiation,[status(thm)],[c_11731]) ).

tcf(c_20100,plain,
    ( p2(sK79)
    | r1(sK70(sK79),sK71(sK79))
    | ~ iPr_def_12
    | ~ r1(sK68,sK79) ),
    inference(instantiation,[status(thm)],[c_11729]) ).

tcf(c_20101,plain,
    ( p2(sK79)
    | r1(sK79,sK70(sK79))
    | ~ iPr_def_10
    | ~ r1(sK68,sK79) ),
    inference(instantiation,[status(thm)],[c_11726]) ).

tcf(c_20198,plain,
    ( sP21(sK68)
    | p2(sK79)
    | r1(sK24(sK79),sK25(sK79))
    | ~ sP22(sK68) ),
    inference(resolution,[status(thm)],[c_53,c_208]) ).

tcf(c_20406,plain,
    ! [X0: $i] :
      ( sP20(X0)
      | p2(sK26(X0))
      | r1(sK24(sK26(X0)),sK25(sK26(X0)))
      | ~ sP21(X0)
      | ~ sP22(X0) ),
    inference(superposition,[status(thm)],[c_56,c_53]) ).

tcf(c_20521,plain,
    ! [X0: $i] :
      ( p2(sK71(sK79))
      | ~ iPr_def_15
      | ~ p2(X0)
      | ~ r1(sK79,X0)
      | ~ r1(X0,sK71(sK79)) ),
    inference(instantiation,[status(thm)],[c_11735]) ).

tcf(c_20725,plain,
    ( p2(sK23(sK68))
    | ~ sP22(sK68)
    | ~ p2(sK95(sK23(sK68))) ),
    inference(superposition,[status(thm)],[c_50,c_265]) ).

tcf(c_21721,plain,
    ( p2(sK71(sK79))
    | ~ iPr_def_15
    | ~ p2(sK70(sK79))
    | ~ r1(sK79,sK70(sK79))
    | ~ r1(sK70(sK79),sK71(sK79)) ),
    inference(instantiation,[status(thm)],[c_20521]) ).

tcf(c_21800,plain,
    ! [X0: $i] :
      ( p2(sK31(X0))
      | r1(sK33(sK31(X0)),sK34(sK31(X0)))
      | ~ sP19(X0) ),
    inference(resolution,[status(thm)],[c_72,c_67]) ).

tcf(c_21827,plain,
    ! [X0: $i] :
      ( p2(X0)
      | p2(sK95(X0))
      | r1(sK33(sK95(X0)),sK34(sK95(X0)))
      | ~ sP19(X0)
      | ~ r1(sK68,X0) ),
    inference(resolution,[status(thm)],[c_72,c_264]) ).

tcf(c_22825,plain,
    ! [X0: $i] :
      ( p2(sK37(sK32(sK79)))
      | ~ sP19(sK79)
      | ~ p2(X0)
      | ~ r1(sK32(sK79),X0)
      | ~ r1(X0,sK37(sK32(sK79))) ),
    inference(instantiation,[status(thm)],[c_19484]) ).

tcf(c_23522,plain,
    ! [X0: $i,X1: $i] :
      ( p2(sK41(sK32(sK79)))
      | ~ sP19(X1)
      | ~ p2(X0)
      | ~ r1(sK32(X1),X0)
      | ~ r1(X0,sK41(sK32(sK79))) ),
    inference(instantiation,[status(thm)],[c_70]) ).

tcf(c_23995,plain,
    ! [X0: $i] :
      ( p2(X0)
      | ~ r1(sK68,X0)
      | ~ sP19(X0)
      | r1(sK95(X0),sK33(sK95(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_17532,c_265,c_16094]) ).

tcf(c_23996,plain,
    ! [X0: $i] :
      ( p2(X0)
      | r1(sK95(X0),sK33(sK95(X0)))
      | ~ sP19(X0)
      | ~ r1(sK68,X0) ),
    inference(renaming,[status(thm)],[c_23995]) ).

tcf(c_24032,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | p2(X0)
      | ~ sP19(X0)
      | ~ r1(sK68,X0)
      | ~ p2(sK33(sK95(X0)))
      | ~ r1(sK33(sK95(X0)),X1) ),
    inference(resolution,[status(thm)],[c_23996,c_266]) ).

tcf(c_26823,plain,
    ( ~ p2(sK95(sK23(sK68)))
    | ~ sP22(sK68) ),
    inference(global_subsumption_just,[status(thm)],[c_20725,c_318,c_12555]) ).

tcf(c_26824,plain,
    ( ~ sP22(sK68)
    | ~ p2(sK95(sK23(sK68))) ),
    inference(renaming,[status(thm)],[c_26823]) ).

tcf(c_26852,plain,
    ! [X0: $i] :
      ( p2(sK41(sK32(sK79)))
      | ~ sP19(sK79)
      | ~ p2(X0)
      | ~ r1(sK32(sK79),X0)
      | ~ r1(X0,sK41(sK32(sK79))) ),
    inference(instantiation,[status(thm)],[c_23522]) ).

tcf(c_26908,plain,
    ! [X0: $i] :
      ( p2(X0)
      | ~ r1(sK68,X0)
      | ~ sP19(X0)
      | r1(sK33(sK95(X0)),sK34(sK95(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_21827,c_265,c_21827]) ).

tcf(c_26909,plain,
    ! [X0: $i] :
      ( p2(X0)
      | r1(sK33(sK95(X0)),sK34(sK95(X0)))
      | ~ sP19(X0)
      | ~ r1(sK68,X0) ),
    inference(renaming,[status(thm)],[c_26908]) ).

tcf(c_30397,plain,
    ! [X0: $i] :
      ( sP21(sK68)
      | p2(sK79)
      | p2(X0)
      | ~ iPr_def_15
      | ~ sP22(sK68)
      | ~ r1(sK24(sK79),X0) ),
    inference(global_subsumption_just,[status(thm)],[c_18154,c_13598,c_18154]) ).

tcf(c_30400,plain,
    ! [X0: $i] :
      ( sP21(sK68)
      | p2(sK79)
      | p2(X0)
      | ~ iPr_def_15
      | ~ r1(sK24(sK79),X0) ),
    inference(global_subsumption_just,[status(thm)],[c_30397,c_208,c_12358,c_12359,c_12361,c_12363,c_13430,c_20101,c_20100,c_20098,c_21721,c_30397]) ).

tcf(c_30429,plain,
    ( sP21(sK68)
    | p2(sK79)
    | sP22(sK68)
    | p2(sK75(sK24(sK79)))
    | ~ iPr_def_15
    | ~ r1(sK68,sK24(sK79)) ),
    inference(resolution,[status(thm)],[c_30400,c_200]) ).

tcf(c_30436,plain,
    ( sP21(sK68)
    | p2(sK79)
    | p2(sK25(sK79))
    | ~ iPr_def_15
    | ~ sP22(sK68) ),
    inference(resolution,[status(thm)],[c_30400,c_20198]) ).

tcf(c_30733,plain,
    ( sP21(sK68)
    | p2(sK79)
    | sP22(sK68)
    | ~ iPr_def_15 ),
    inference(global_subsumption_just,[status(thm)],[c_30429,c_208,c_12358,c_12359,c_12361,c_12363,c_13430,c_20101,c_20100,c_20098,c_21721]) ).

tcf(c_30735,plain,
    ( sP21(sK68)
    | p2(sK79)
    | ~ iPr_def_15 ),
    inference(global_subsumption_just,[status(thm)],[c_30733,c_15509,c_30436,c_30733]) ).

tcf(c_30791,plain,
    ! [X0: $i] :
      ( sP20(X0)
      | p2(sK26(X0))
      | p2(sK24(sK26(X0)))
      | ~ sP21(X0)
      | ~ sP22(X0) ),
    inference(resolution,[status(thm)],[c_56,c_55]) ).

tcf(c_30793,plain,
    ! [X0: $i] :
      ( sP20(X0)
      | p2(sK26(X0))
      | r1(sK26(X0),sK24(sK26(X0)))
      | ~ sP21(X0)
      | ~ sP22(X0) ),
    inference(resolution,[status(thm)],[c_56,c_52]) ).

tcf(c_30797,plain,
    ! [X0: $i] :
      ( sP20(X0)
      | p2(sK26(X0))
      | r1(sK24(sK26(X0)),sK25(sK26(X0)))
      | ~ sP21(X0)
      | ~ sP22(X0) ),
    inference(resolution,[status(thm)],[c_56,c_53]) ).

tcf(c_31193,plain,
    ( p2(sK41(sK32(sK79)))
    | ~ sP19(sK79)
    | ~ p2(sK40(sK32(sK79)))
    | ~ r1(sK32(sK79),sK40(sK32(sK79)))
    | ~ r1(sK40(sK32(sK79)),sK41(sK32(sK79))) ),
    inference(instantiation,[status(thm)],[c_26852]) ).

tcf(c_31410,plain,
    ! [X0: $i,X1: $i] :
      ( sP20(X0)
      | p2(X1)
      | p2(sK26(X0))
      | ~ iPr_def_10
      | ~ sP21(X0)
      | ~ p2(sK70(sK26(X0)))
      | ~ r1(sK68,sK26(X0))
      | ~ r1(sK70(sK26(X0)),X1) ),
    inference(resolution,[status(thm)],[c_58,c_11726]) ).

tcf(c_32748,plain,
    ( p2(sK37(sK32(sK79)))
    | ~ sP19(sK79)
    | ~ p2(sK36(sK32(sK79)))
    | ~ r1(sK32(sK79),sK36(sK32(sK79)))
    | ~ r1(sK36(sK32(sK79)),sK37(sK32(sK79))) ),
    inference(instantiation,[status(thm)],[c_22825]) ).

tcf(c_33740,plain,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | p2(X0)
      | ~ sP19(X0)
      | ~ r1(sK68,X0)
      | ~ r1(sK33(sK95(X0)),X1) ),
    inference(global_subsumption_just,[status(thm)],[c_24032,c_265,c_13785,c_24032]) ).

tcf(c_33778,plain,
    ! [X0: $i] :
      ( sP22(sK68)
      | p2(X0)
      | p2(sK75(sK33(sK95(X0))))
      | ~ sP19(X0)
      | ~ r1(sK68,X0)
      | ~ r1(sK68,sK33(sK95(X0))) ),
    inference(resolution,[status(thm)],[c_33740,c_200]) ).

tcf(c_33788,plain,
    ! [X0: $i] :
      ( p2(X0)
      | p2(sK34(sK95(X0)))
      | ~ sP19(X0)
      | ~ r1(sK68,X0) ),
    inference(resolution,[status(thm)],[c_33740,c_26909]) ).

tcf(c_34990,plain,
    ! [X0: $i] :
      ( ~ sP19(X0)
      | ~ r1(sK68,X0)
      | p2(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_33778,c_265,c_17292,c_33788]) ).

tcf(c_34991,plain,
    ! [X0: $i] :
      ( p2(X0)
      | ~ sP19(X0)
      | ~ r1(sK68,X0) ),
    inference(renaming,[status(thm)],[c_34990]) ).

tcf(c_35018,plain,
    ( sP21(sK68)
    | p2(sK79)
    | ~ sP19(sK79) ),
    inference(resolution,[status(thm)],[c_34991,c_208]) ).

tcf(c_35031,plain,
    ( sP21(sK68)
    | p2(sK79) ),
    inference(global_subsumption_just,[status(thm)],[c_35018,c_11736,c_30735,c_35018]) ).

tcf(c_35040,plain,
    ( sP19(sK79)
    | sP21(sK68) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_209,c_35031]) ).

tcf(c_35049,plain,
    ! [X0: $i,X1: $i] :
      ( sP21(sK68)
      | p2(X1)
      | sP17(sK31(sK79))
      | sP18(sK31(sK79))
      | ~ p2(X0)
      | ~ r1(X0,X1)
      | ~ r1(sK31(sK79),X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_14370,c_35040]) ).

tcf(c_35050,plain,
    ( sP21(sK68)
    | sP17(sK31(sK79))
    | sP18(sK31(sK79))
    | ~ p2(sK31(sK79)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_13667,c_35040]) ).

tcf(c_35584,plain,
    ! [X0: $i] :
      ( sP20(X0)
      | ~ sP22(X0)
      | ~ sP21(X0)
      | p2(sK24(sK26(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_30791,c_57,c_13583]) ).

tcf(c_35585,plain,
    ! [X0: $i] :
      ( sP20(X0)
      | p2(sK24(sK26(X0)))
      | ~ sP21(X0)
      | ~ sP22(X0) ),
    inference(renaming,[status(thm)],[c_35584]) ).

tcf(c_36920,plain,
    ! [X0: $i] :
      ( sP20(X0)
      | ~ sP22(X0)
      | ~ sP21(X0)
      | r1(sK26(X0),sK24(sK26(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_30793,c_57,c_15030]) ).

tcf(c_36921,plain,
    ! [X0: $i] :
      ( sP20(X0)
      | r1(sK26(X0),sK24(sK26(X0)))
      | ~ sP21(X0)
      | ~ sP22(X0) ),
    inference(renaming,[status(thm)],[c_36920]) ).

tcf(c_37100,plain,
    ! [X0: $i] :
      ( sP20(X0)
      | ~ sP22(X0)
      | ~ sP21(X0)
      | r1(sK24(sK26(X0)),sK25(sK26(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_30797,c_57,c_20406]) ).

tcf(c_37101,plain,
    ! [X0: $i] :
      ( sP20(X0)
      | r1(sK24(sK26(X0)),sK25(sK26(X0)))
      | ~ sP21(X0)
      | ~ sP22(X0) ),
    inference(renaming,[status(thm)],[c_37100]) ).

tcf(c_37137,plain,
    ( sP21(sK68)
    | sP17(sK31(sK79))
    | ~ p2(sK31(sK79)) ),
    inference(global_subsumption_just,[status(thm)],[c_35050,c_3623,c_3652,c_19804,c_19800,c_19799,c_19798,c_32748,c_35031,c_35040,c_35050]) ).

tcf(c_37139,plain,
    ( sP21(sK68)
    | ~ p2(sK31(sK79)) ),
    inference(global_subsumption_just,[status(thm)],[c_37137,c_3623,c_3652,c_18821,c_19022,c_19026,c_19030,c_31193,c_35031,c_35040,c_37137]) ).

tcf(c_38739,plain,
    ! [X0: $i,X1: $i] :
      ( sP21(sK68)
      | p2(X1)
      | sP17(sK31(sK79))
      | ~ r1(sK31(sK79),X0)
      | ~ r1(X0,X1)
      | ~ p2(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_35049,c_3623,c_3652,c_19804,c_19800,c_19799,c_19798,c_32748,c_35031,c_35040,c_35049]) ).

tcf(c_38740,plain,
    ! [X0: $i,X1: $i] :
      ( sP21(sK68)
      | p2(X1)
      | sP17(sK31(sK79))
      | ~ p2(X0)
      | ~ r1(X0,X1)
      | ~ r1(sK31(sK79),X0) ),
    inference(renaming,[status(thm)],[c_38739]) ).

tcf(c_38741,plain,
    ! [X0: $i,X1: $i] :
      ( sP21(sK68)
      | p2(X1)
      | ~ r1(sK31(sK79),X0)
      | ~ r1(X0,X1)
      | ~ p2(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_38740,c_3623,c_3652,c_18821,c_19022,c_19026,c_19030,c_31193,c_35031,c_35040,c_38740]) ).

tcf(c_38742,plain,
    ! [X0: $i,X1: $i] :
      ( sP21(sK68)
      | p2(X1)
      | ~ p2(X0)
      | ~ r1(X0,X1)
      | ~ r1(sK31(sK79),X0) ),
    inference(renaming,[status(thm)],[c_38741]) ).

tcf(c_38778,plain,
    ! [X0: $i] :
      ( sP21(sK68)
      | p2(X0)
      | p2(sK31(sK79))
      | ~ sP19(sK79)
      | ~ p2(sK33(sK31(sK79)))
      | ~ r1(sK33(sK31(sK79)),X0) ),
    inference(resolution,[status(thm)],[c_38742,c_17516]) ).

tcf(c_39084,plain,
    ! [X0: $i,X1: $i] :
      ( sP20(X0)
      | p2(X1)
      | ~ sP21(X0)
      | ~ sP22(X0)
      | ~ p2(sK24(sK26(X0)))
      | ~ r1(sK24(sK26(X0)),X1) ),
    inference(resolution,[status(thm)],[c_36921,c_58]) ).

tcf(c_41108,plain,
    ! [X0: $i,X1: $i] :
      ( sP20(X0)
      | p2(X1)
      | ~ r1(sK70(sK26(X0)),X1)
      | ~ r1(sK68,sK26(X0))
      | ~ p2(sK70(sK26(X0)))
      | ~ sP21(X0)
      | ~ iPr_def_10 ),
    inference(global_subsumption_just,[status(thm)],[c_31410,c_57,c_31410]) ).

tcf(c_41109,plain,
    ! [X0: $i,X1: $i] :
      ( sP20(X0)
      | p2(X1)
      | ~ iPr_def_10
      | ~ sP21(X0)
      | ~ p2(sK70(sK26(X0)))
      | ~ r1(sK68,sK26(X0))
      | ~ r1(sK70(sK26(X0)),X1) ),
    inference(renaming,[status(thm)],[c_41108]) ).

tcf(c_41149,plain,
    ! [X0: $i] :
      ( sP20(X0)
      | p2(sK26(X0))
      | p2(sK71(sK26(X0)))
      | ~ iPr_def_12
      | ~ iPr_def_10
      | ~ sP21(X0)
      | ~ p2(sK70(sK26(X0)))
      | ~ r1(sK68,sK26(X0)) ),
    inference(resolution,[status(thm)],[c_41109,c_11729]) ).

tcf(c_41153,plain,
    ! [X0: $i] :
      ( sP22(sK68)
      | sP20(X0)
      | p2(sK75(sK70(sK26(X0))))
      | ~ iPr_def_10
      | ~ sP21(X0)
      | ~ p2(sK70(sK26(X0)))
      | ~ r1(sK68,sK26(X0))
      | ~ r1(sK68,sK70(sK26(X0))) ),
    inference(resolution,[status(thm)],[c_41109,c_200]) ).

tcf(c_41161,plain,
    ! [X0: $i] :
      ( sP22(sK68)
      | sP20(X0)
      | ~ sP21(X0)
      | ~ r1(sK68,sK26(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_41153,c_57,c_12358,c_12359,c_12361,c_12363,c_12381,c_12380,c_41149]) ).

tcf(c_41180,plain,
    ( sP20(sK68)
    | sP22(sK68)
    | ~ sP21(sK68) ),
    inference(resolution,[status(thm)],[c_41161,c_56]) ).

tcf(c_41223,plain,
    ( ~ sP21(sK68)
    | sP22(sK68) ),
    inference(global_subsumption_just,[status(thm)],[c_41180,c_2907,c_2917,c_12092,c_12636,c_12706,c_12869,c_12874,c_12879,c_17328,c_41180]) ).

tcf(c_41224,plain,
    ( sP22(sK68)
    | ~ sP21(sK68) ),
    inference(renaming,[status(thm)],[c_41223]) ).

tcf(c_46735,plain,
    ! [X0: $i] :
      ( sP21(sK68)
      | p2(X0)
      | ~ r1(sK33(sK31(sK79)),X0) ),
    inference(global_subsumption_just,[status(thm)],[c_38778,c_3681,c_19058,c_35031,c_35040,c_37139,c_38778]) ).

tcf(c_46757,plain,
    ( sP21(sK68)
    | sP22(sK68)
    | p2(sK75(sK33(sK31(sK79))))
    | ~ r1(sK68,sK33(sK31(sK79))) ),
    inference(resolution,[status(thm)],[c_46735,c_200]) ).

tcf(c_46764,plain,
    ( sP21(sK68)
    | p2(sK31(sK79))
    | p2(sK34(sK31(sK79)))
    | ~ sP19(sK79) ),
    inference(resolution,[status(thm)],[c_46735,c_21800]) ).

tcf(c_46765,plain,
    sP21(sK68),
    inference(global_subsumption_just,[status(thm)],[c_46757,c_3681,c_18862,c_35031,c_35040,c_37139,c_46764]) ).

tcf(c_48582,plain,
    ! [X0: $i,X1: $i] :
      ( sP20(X0)
      | p2(X1)
      | ~ sP21(X0)
      | ~ sP22(X0)
      | ~ r1(sK24(sK26(X0)),X1) ),
    inference(global_subsumption_just,[status(thm)],[c_39084,c_35585,c_39084]) ).

tcf(c_48625,plain,
    ! [X0: $i] :
      ( sP20(X0)
      | p2(sK25(sK26(X0)))
      | ~ sP21(X0)
      | ~ sP22(X0) ),
    inference(resolution,[status(thm)],[c_48582,c_37101]) ).

tcf(c_48626,plain,
    ( sP20(sK68)
    | p2(sK25(sK26(sK68)))
    | ~ sP21(sK68)
    | ~ sP22(sK68) ),
    inference(instantiation,[status(thm)],[c_48625]) ).

tcf(c_48627,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_48626,c_46765,c_41224,c_26824,c_13623,c_12669,c_12664,c_12659,c_12650,c_12412,c_11784,c_340,c_339,c_319,c_318]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL660+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.37  % Computer : n018.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8046.5625MB
% 0.13/0.37  % OS       : Linux 6.8.0-71-generic
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 300
% 0.13/0.37  % DateTime : Thu Sep 24 00:07:05 UTC 2026
% 0.13/0.37  % CPUTime  : 
% 0.13/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.42  Running first-order theorem proving
% 0.13/0.42  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
% 0.13/0.43  
% 0.13/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.43  
% 0.13/0.43  % Detected problem language: tptp
% 0.13/0.44  % Proving...
% 11.77/3.87  % SZS status Started for theBenchmark.p
% 11.77/3.87  % SZS status Theorem for theBenchmark.p
% 11.77/3.87  
% 11.77/3.87  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 11.77/3.87  
% 11.77/3.87  % ------  iProver source info
% 11.77/3.87  
% 11.77/3.87  % git: date: 2026-07-19 20:42:38 +0200
% 11.77/3.87  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 11.77/3.87  % git: non_committed_changes: false
% 11.77/3.87  
% 11.77/3.87  % ------ Parsing...
% 11.77/3.87  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 11.77/3.87  
% 11.77/3.87  % ------ Preprocessing... sf_s  rm: 146 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 11.77/3.87  
% 11.77/3.87  % ------ Preprocessing... gs_s  sp: 9 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 11.77/3.87  % ------ Proving...
% 11.77/3.87  % ------ Problem Properties 
% 11.77/3.87  
% 11.77/3.87  % 
% 11.77/3.87  % clauses                               77
% 11.77/3.87  % conjectures                           21
% 11.77/3.87  % EPR                                   18
% 11.77/3.87  % Horn                                  31
% 11.77/3.87  % unary                                 5
% 11.77/3.87  % binary                                11
% 11.77/3.87  % lits                                  272
% 11.77/3.87  % lits eq                               0
% 11.77/3.87  % fd_pure                               0
% 11.77/3.87  % fd_pseudo                             0
% 11.77/3.87  % fd_cond                               0
% 11.77/3.87  % fd_pseudo_cond                        0
% 11.77/3.87  % AC symbols                            0
% 11.77/3.87  
% 11.77/3.87  % ------ Input Options Time Limit: Unbounded
% 11.77/3.87  
% 11.77/3.87  
% 11.77/3.87  % ------ 
% 11.77/3.87  % Current options:
% 11.77/3.87  % ------ 
% 11.77/3.87  
% 11.77/3.87  
% 11.77/3.87  % 
% 11.77/3.87  
% 11.77/3.87  % ------ Proving...
% 11.77/3.87  % 
% 11.77/3.87  
% 11.77/3.87  % SZS status Theorem for theBenchmark.p
% 11.77/3.87  
% 11.77/3.87  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.77/3.87  
% 11.77/3.87  
%------------------------------------------------------------------------------