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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : LCL686+1.015 : 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 : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 02:08:11 PM UTC 2026

% Result   : Theorem 0.29s 1.07s
% Output   : CNFRefutation 0.29s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f33ERROR: Could not build tree for root c_4315ERROR: MakeTreeStats fails)

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

fof(f37,plain,
    ! [X4] :
      ( ~ sP20(X4)
      | ? [X92] :
          ( ( ~ p1(X92)
            | ~ p2(X92) )
          & ( p2(X92)
            | p1(X92) )
          & ( ~ p2(X92)
            | ~ p3(X92) )
          & ( p3(X92)
            | p2(X92) )
          & ( ~ p3(X92)
            | ~ p4(X92) )
          & ( p4(X92)
            | p3(X92) )
          & ( ~ p4(X92)
            | ~ p5(X92) )
          & ( p5(X92)
            | p4(X92) )
          & ( ~ p5(X92)
            | ~ p6(X92) )
          & ( p6(X92)
            | p5(X92) )
          & ( ~ p6(X92)
            | ~ p7(X92) )
          & ( p7(X92)
            | p6(X92) )
          & ( ~ p7(X92)
            | ~ p8(X92) )
          & ( p8(X92)
            | p7(X92) )
          & ( ~ p8(X92)
            | ~ p9(X92) )
          & ( p9(X92)
            | p8(X92) )
          & ( ~ p9(X92)
            | ~ p10(X92) )
          & ( p10(X92)
            | p9(X92) )
          & ( ~ p10(X92)
            | ~ p11(X92) )
          & ( p11(X92)
            | p10(X92) )
          & ( ~ p11(X92)
            | ~ p12(X92) )
          & ( p12(X92)
            | p11(X92) )
          & ( ~ p12(X92)
            | ~ p13(X92) )
          & ( p13(X92)
            | p12(X92) )
          & ( ~ p13(X92)
            | ~ p14(X92) )
          & ( p14(X92)
            | p13(X92) )
          & ( ~ p14(X92)
            | ~ p15(X92) )
          & ( p15(X92)
            | p14(X92) )
          & ( ~ p15(X92)
            | ~ p16(X92) )
          & ( p16(X92)
            | p15(X92) )
          & ( ~ p16(X92)
            | ~ p17(X92) )
          & ( p17(X92)
            | p16(X92) )
          & ( ~ p17(X92)
            | ~ p18(X92) )
          & ( p18(X92)
            | p17(X92) )
          & ( ~ p18(X92)
            | ~ p19(X92) )
          & ( p19(X92)
            | p18(X92) )
          & ( ~ p19(X92)
            | ~ p20(X92) )
          & ( p20(X92)
            | p19(X92) )
          & ( ~ p20(X92)
            | ~ p21(X92) )
          & ( p21(X92)
            | p20(X92) )
          & ( ~ p21(X92)
            | ~ p22(X92) )
          & ( p22(X92)
            | p21(X92) )
          & ( ~ p22(X92)
            | ~ p23(X92) )
          & ( p23(X92)
            | p22(X92) )
          & ( ~ p23(X92)
            | ~ p24(X92) )
          & ( p24(X92)
            | p23(X92) )
          & ( ~ p24(X92)
            | ~ p25(X92) )
          & ( p25(X92)
            | p24(X92) )
          & ( ~ p25(X92)
            | ~ p26(X92) )
          & ( p26(X92)
            | p25(X92) )
          & ( ~ p26(X92)
            | ~ p27(X92) )
          & ( p27(X92)
            | p26(X92) )
          & ( ~ p27(X92)
            | ~ p28(X92) )
          & ( p28(X92)
            | p27(X92) )
          & ( ~ p28(X92)
            | ~ p29(X92) )
          & ( p29(X92)
            | p28(X92) )
          & ( ~ p29(X92)
            | ~ p30(X92) )
          & ( p30(X92)
            | p29(X92) )
          & ( ~ p30(X92)
            | ~ p31(X92) )
          & ( p31(X92)
            | p30(X92) )
          & ( ~ p31(X92)
            | ~ p32(X92) )
          & ( p32(X92)
            | p31(X92) )
          & ( ~ p32(X92)
            | ~ p33(X92) )
          & ( p33(X92)
            | p32(X92) )
          & ( ~ p33(X92)
            | ~ p34(X92) )
          & ( p34(X92)
            | p33(X92) )
          & ( ~ p34(X92)
            | ~ p35(X92) )
          & ( p35(X92)
            | p34(X92) )
          & ( ~ p35(X92)
            | ~ p36(X92) )
          & ( p36(X92)
            | p35(X92) )
          & ( ~ p36(X92)
            | ~ p37(X92) )
          & ( p37(X92)
            | p36(X92) )
          & ( ~ p37(X92)
            | ~ p38(X92) )
          & ( p38(X92)
            | p37(X92) )
          & ( ~ p38(X92)
            | ~ p39(X92) )
          & ( p39(X92)
            | p38(X92) )
          & ( ~ p39(X92)
            | ~ p40(X92) )
          & ( p40(X92)
            | p39(X92) )
          & ( ~ p40(X92)
            | ~ p41(X92) )
          & ( p41(X92)
            | p40(X92) )
          & ( ~ p41(X92)
            | ~ p42(X92) )
          & ( p42(X92)
            | p41(X92) )
          & ( ~ p42(X92)
            | ~ p43(X92) )
          & ( p43(X92)
            | p42(X92) )
          & ( ~ p43(X92)
            | ~ p44(X92) )
          & ( p44(X92)
            | p43(X92) )
          & r1(X4,X92) ) ),
    inference(nnf_transformation,[],[f31]) ).

fof(f38,plain,
    ! [X0] :
      ( ~ sP20(X0)
      | ? [X1] :
          ( ( ~ p1(X1)
            | ~ p2(X1) )
          & ( p2(X1)
            | p1(X1) )
          & ( ~ p2(X1)
            | ~ p3(X1) )
          & ( p3(X1)
            | p2(X1) )
          & ( ~ p3(X1)
            | ~ p4(X1) )
          & ( p4(X1)
            | p3(X1) )
          & ( ~ p4(X1)
            | ~ p5(X1) )
          & ( p5(X1)
            | p4(X1) )
          & ( ~ p5(X1)
            | ~ p6(X1) )
          & ( p6(X1)
            | p5(X1) )
          & ( ~ p6(X1)
            | ~ p7(X1) )
          & ( p7(X1)
            | p6(X1) )
          & ( ~ p7(X1)
            | ~ p8(X1) )
          & ( p8(X1)
            | p7(X1) )
          & ( ~ p8(X1)
            | ~ p9(X1) )
          & ( p9(X1)
            | p8(X1) )
          & ( ~ p9(X1)
            | ~ p10(X1) )
          & ( p10(X1)
            | p9(X1) )
          & ( ~ p10(X1)
            | ~ p11(X1) )
          & ( p11(X1)
            | p10(X1) )
          & ( ~ p11(X1)
            | ~ p12(X1) )
          & ( p12(X1)
            | p11(X1) )
          & ( ~ p12(X1)
            | ~ p13(X1) )
          & ( p13(X1)
            | p12(X1) )
          & ( ~ p13(X1)
            | ~ p14(X1) )
          & ( p14(X1)
            | p13(X1) )
          & ( ~ p14(X1)
            | ~ p15(X1) )
          & ( p15(X1)
            | p14(X1) )
          & ( ~ p15(X1)
            | ~ p16(X1) )
          & ( p16(X1)
            | p15(X1) )
          & ( ~ p16(X1)
            | ~ p17(X1) )
          & ( p17(X1)
            | p16(X1) )
          & ( ~ p17(X1)
            | ~ p18(X1) )
          & ( p18(X1)
            | p17(X1) )
          & ( ~ p18(X1)
            | ~ p19(X1) )
          & ( p19(X1)
            | p18(X1) )
          & ( ~ p19(X1)
            | ~ p20(X1) )
          & ( p20(X1)
            | p19(X1) )
          & ( ~ p20(X1)
            | ~ p21(X1) )
          & ( p21(X1)
            | p20(X1) )
          & ( ~ p21(X1)
            | ~ p22(X1) )
          & ( p22(X1)
            | p21(X1) )
          & ( ~ p22(X1)
            | ~ p23(X1) )
          & ( p23(X1)
            | p22(X1) )
          & ( ~ p23(X1)
            | ~ p24(X1) )
          & ( p24(X1)
            | p23(X1) )
          & ( ~ p24(X1)
            | ~ p25(X1) )
          & ( p25(X1)
            | p24(X1) )
          & ( ~ p25(X1)
            | ~ p26(X1) )
          & ( p26(X1)
            | p25(X1) )
          & ( ~ p26(X1)
            | ~ p27(X1) )
          & ( p27(X1)
            | p26(X1) )
          & ( ~ p27(X1)
            | ~ p28(X1) )
          & ( p28(X1)
            | p27(X1) )
          & ( ~ p28(X1)
            | ~ p29(X1) )
          & ( p29(X1)
            | p28(X1) )
          & ( ~ p29(X1)
            | ~ p30(X1) )
          & ( p30(X1)
            | p29(X1) )
          & ( ~ p30(X1)
            | ~ p31(X1) )
          & ( p31(X1)
            | p30(X1) )
          & ( ~ p31(X1)
            | ~ p32(X1) )
          & ( p32(X1)
            | p31(X1) )
          & ( ~ p32(X1)
            | ~ p33(X1) )
          & ( p33(X1)
            | p32(X1) )
          & ( ~ p33(X1)
            | ~ p34(X1) )
          & ( p34(X1)
            | p33(X1) )
          & ( ~ p34(X1)
            | ~ p35(X1) )
          & ( p35(X1)
            | p34(X1) )
          & ( ~ p35(X1)
            | ~ p36(X1) )
          & ( p36(X1)
            | p35(X1) )
          & ( ~ p36(X1)
            | ~ p37(X1) )
          & ( p37(X1)
            | p36(X1) )
          & ( ~ p37(X1)
            | ~ p38(X1) )
          & ( p38(X1)
            | p37(X1) )
          & ( ~ p38(X1)
            | ~ p39(X1) )
          & ( p39(X1)
            | p38(X1) )
          & ( ~ p39(X1)
            | ~ p40(X1) )
          & ( p40(X1)
            | p39(X1) )
          & ( ~ p40(X1)
            | ~ p41(X1) )
          & ( p41(X1)
            | p40(X1) )
          & ( ~ p41(X1)
            | ~ p42(X1) )
          & ( p42(X1)
            | p41(X1) )
          & ( ~ p42(X1)
            | ~ p43(X1) )
          & ( p43(X1)
            | p42(X1) )
          & ( ~ p43(X1)
            | ~ p44(X1) )
          & ( p44(X1)
            | p43(X1) )
          & r1(X0,X1) ) ),
    inference(rectify,[],[f37]) ).

fof(f39,plain,
    ! [X0] :
      ( ~ sP20(X0)
      | ( ( ~ p1(sK24(X0))
          | ~ p2(sK24(X0)) )
        & ( p2(sK24(X0))
          | p1(sK24(X0)) )
        & ( ~ p2(sK24(X0))
          | ~ p3(sK24(X0)) )
        & ( p3(sK24(X0))
          | p2(sK24(X0)) )
        & ( ~ p3(sK24(X0))
          | ~ p4(sK24(X0)) )
        & ( p4(sK24(X0))
          | p3(sK24(X0)) )
        & ( ~ p4(sK24(X0))
          | ~ p5(sK24(X0)) )
        & ( p5(sK24(X0))
          | p4(sK24(X0)) )
        & ( ~ p5(sK24(X0))
          | ~ p6(sK24(X0)) )
        & ( p6(sK24(X0))
          | p5(sK24(X0)) )
        & ( ~ p6(sK24(X0))
          | ~ p7(sK24(X0)) )
        & ( p7(sK24(X0))
          | p6(sK24(X0)) )
        & ( ~ p7(sK24(X0))
          | ~ p8(sK24(X0)) )
        & ( p8(sK24(X0))
          | p7(sK24(X0)) )
        & ( ~ p8(sK24(X0))
          | ~ p9(sK24(X0)) )
        & ( p9(sK24(X0))
          | p8(sK24(X0)) )
        & ( ~ p9(sK24(X0))
          | ~ p10(sK24(X0)) )
        & ( p10(sK24(X0))
          | p9(sK24(X0)) )
        & ( ~ p10(sK24(X0))
          | ~ p11(sK24(X0)) )
        & ( p11(sK24(X0))
          | p10(sK24(X0)) )
        & ( ~ p11(sK24(X0))
          | ~ p12(sK24(X0)) )
        & ( p12(sK24(X0))
          | p11(sK24(X0)) )
        & ( ~ p12(sK24(X0))
          | ~ p13(sK24(X0)) )
        & ( p13(sK24(X0))
          | p12(sK24(X0)) )
        & ( ~ p13(sK24(X0))
          | ~ p14(sK24(X0)) )
        & ( p14(sK24(X0))
          | p13(sK24(X0)) )
        & ( ~ p14(sK24(X0))
          | ~ p15(sK24(X0)) )
        & ( p15(sK24(X0))
          | p14(sK24(X0)) )
        & ( ~ p15(sK24(X0))
          | ~ p16(sK24(X0)) )
        & ( p16(sK24(X0))
          | p15(sK24(X0)) )
        & ( ~ p16(sK24(X0))
          | ~ p17(sK24(X0)) )
        & ( p17(sK24(X0))
          | p16(sK24(X0)) )
        & ( ~ p17(sK24(X0))
          | ~ p18(sK24(X0)) )
        & ( p18(sK24(X0))
          | p17(sK24(X0)) )
        & ( ~ p18(sK24(X0))
          | ~ p19(sK24(X0)) )
        & ( p19(sK24(X0))
          | p18(sK24(X0)) )
        & ( ~ p19(sK24(X0))
          | ~ p20(sK24(X0)) )
        & ( p20(sK24(X0))
          | p19(sK24(X0)) )
        & ( ~ p20(sK24(X0))
          | ~ p21(sK24(X0)) )
        & ( p21(sK24(X0))
          | p20(sK24(X0)) )
        & ( ~ p21(sK24(X0))
          | ~ p22(sK24(X0)) )
        & ( p22(sK24(X0))
          | p21(sK24(X0)) )
        & ( ~ p22(sK24(X0))
          | ~ p23(sK24(X0)) )
        & ( p23(sK24(X0))
          | p22(sK24(X0)) )
        & ( ~ p23(sK24(X0))
          | ~ p24(sK24(X0)) )
        & ( p24(sK24(X0))
          | p23(sK24(X0)) )
        & ( ~ p24(sK24(X0))
          | ~ p25(sK24(X0)) )
        & ( p25(sK24(X0))
          | p24(sK24(X0)) )
        & ( ~ p25(sK24(X0))
          | ~ p26(sK24(X0)) )
        & ( p26(sK24(X0))
          | p25(sK24(X0)) )
        & ( ~ p26(sK24(X0))
          | ~ p27(sK24(X0)) )
        & ( p27(sK24(X0))
          | p26(sK24(X0)) )
        & ( ~ p27(sK24(X0))
          | ~ p28(sK24(X0)) )
        & ( p28(sK24(X0))
          | p27(sK24(X0)) )
        & ( ~ p28(sK24(X0))
          | ~ p29(sK24(X0)) )
        & ( p29(sK24(X0))
          | p28(sK24(X0)) )
        & ( ~ p29(sK24(X0))
          | ~ p30(sK24(X0)) )
        & ( p30(sK24(X0))
          | p29(sK24(X0)) )
        & ( ~ p30(sK24(X0))
          | ~ p31(sK24(X0)) )
        & ( p31(sK24(X0))
          | p30(sK24(X0)) )
        & ( ~ p31(sK24(X0))
          | ~ p32(sK24(X0)) )
        & ( p32(sK24(X0))
          | p31(sK24(X0)) )
        & ( ~ p32(sK24(X0))
          | ~ p33(sK24(X0)) )
        & ( p33(sK24(X0))
          | p32(sK24(X0)) )
        & ( ~ p33(sK24(X0))
          | ~ p34(sK24(X0)) )
        & ( p34(sK24(X0))
          | p33(sK24(X0)) )
        & ( ~ p34(sK24(X0))
          | ~ p35(sK24(X0)) )
        & ( p35(sK24(X0))
          | p34(sK24(X0)) )
        & ( ~ p35(sK24(X0))
          | ~ p36(sK24(X0)) )
        & ( p36(sK24(X0))
          | p35(sK24(X0)) )
        & ( ~ p36(sK24(X0))
          | ~ p37(sK24(X0)) )
        & ( p37(sK24(X0))
          | p36(sK24(X0)) )
        & ( ~ p37(sK24(X0))
          | ~ p38(sK24(X0)) )
        & ( p38(sK24(X0))
          | p37(sK24(X0)) )
        & ( ~ p38(sK24(X0))
          | ~ p39(sK24(X0)) )
        & ( p39(sK24(X0))
          | p38(sK24(X0)) )
        & ( ~ p39(sK24(X0))
          | ~ p40(sK24(X0)) )
        & ( p40(sK24(X0))
          | p39(sK24(X0)) )
        & ( ~ p40(sK24(X0))
          | ~ p41(sK24(X0)) )
        & ( p41(sK24(X0))
          | p40(sK24(X0)) )
        & ( ~ p41(sK24(X0))
          | ~ p42(sK24(X0)) )
        & ( p42(sK24(X0))
          | p41(sK24(X0)) )
        & ( ~ p42(sK24(X0))
          | ~ p43(sK24(X0)) )
        & ( p43(sK24(X0))
          | p42(sK24(X0)) )
        & ( ~ p43(sK24(X0))
          | ~ p44(sK24(X0)) )
        & ( p44(sK24(X0))
          | p43(sK24(X0)) )
        & r1(X0,sK24(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(X1,sK24(X0))],[f38]) ).

fof(f100,plain,
    ? [X0] :
      ( ? [X3] :
          ( ! [X4] :
              ( ( sP20(X4)
                & ? [X6] :
                    ( ~ p45(X6)
                    & r1(X4,X6) )
                & ! [X5] :
                    ( ( ( ~ p1(X5)
                        | p2(X5) )
                      & ( p1(X5)
                        | ~ p2(X5) ) )
                    | ~ r1(X4,X5) )
                & sP21(X4) )
              | ~ r1(X3,X4) )
          & r1(X0,X3) )
      & ? [X1] :
          ( ? [X2] :
              ( p1(X2)
              & r1(X1,X2) )
          & p45(X1)
          & r1(X0,X1) ) ),
    inference(rectify,[],[f33]) ).

fof(f101,plain,
    ( ! [X4] :
        ( ( sP20(X4)
          & ~ p45(sK70(X4))
          & r1(X4,sK70(X4))
          & ! [X5] :
              ( ( ( ~ p1(X5)
                  | p2(X5) )
                & ( p1(X5)
                  | ~ p2(X5) ) )
              | ~ r1(X4,X5) )
          & sP21(X4) )
        | ~ r1(sK69,X4) )
    & r1(sK66,sK69)
    & p1(sK68)
    & r1(sK67,sK68)
    & p45(sK67)
    & r1(sK66,sK67) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK66,sK67,sK68,sK69,sK70]),skolemize(X0,sK66),skolemize(X1,sK67),skolemize(X2,sK68),skolemize(X3,sK69),skolemize(X6,sK70(X4))],[f100]) ).

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

fof(f111,plain,
    ! [X0] :
      ( ~ sP20(X0)
      | ~ p1(sK24(X0))
      | ~ p2(sK24(X0)) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f112,plain,
    ! [X0] :
      ( ~ sP20(X0)
      | p2(sK24(X0))
      | p1(sK24(X0)) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f197,plain,
    ! [X0] :
      ( ~ sP20(X0)
      | r1(X0,sK24(X0)) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f338,plain,
    ! [X4] :
      ( sP20(X4)
      | ~ r1(sK69,X4) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f341,plain,
    ! [X4,X5] :
      ( ~ p1(X5)
      | p2(X5)
      | ~ r1(X4,X5)
      | ~ r1(sK69,X4) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f342,plain,
    ! [X4,X5] :
      ( p1(X5)
      | ~ p2(X5)
      | ~ r1(X4,X5)
      | ~ r1(sK69,X4) ),
    inference(cnf_transformation,[],[f101]) ).

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

tcf(c_58,plain,
    ! [X0: $i] :
      ( r1(X0,sK24(X0))
      | ~ sP20(X0) ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_143,plain,
    ! [X0: $i] :
      ( p1(sK24(X0))
      | p2(sK24(X0))
      | ~ sP20(X0) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_144,plain,
    ! [X0: $i] :
      ( ~ sP20(X0)
      | ~ p1(sK24(X0))
      | ~ p2(sK24(X0)) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_291,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( p1(X1)
      | ~ p2(X1)
      | ~ r1(sK69,X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f342]) ).

tcf(c_292,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( p2(X1)
      | ~ p1(X1)
      | ~ r1(sK69,X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f341]) ).

tcf(c_295,negated_conjecture,
    ! [X0: $i] :
      ( sP20(X0)
      | ~ r1(sK69,X0) ),
    inference(cnf_transformation,[],[f338]) ).

tcf(c_296,plain,
    r1(sK69,sK69),
    inference(instantiation,[status(thm)],[c_49]) ).

tcf(c_297,plain,
    ( sP20(sK69)
    | ~ r1(sK69,sK69) ),
    inference(instantiation,[status(thm)],[c_295]) ).

tcf(c_339,plain,
    ( r1(sK69,sK24(sK69))
    | ~ sP20(sK69) ),
    inference(instantiation,[status(thm)],[c_58]) ).

tcf(c_4299,plain,
    ! [X0: $i,X1: $i] :
      ( ~ sP20(X1)
      | ~ p1(sK24(X1))
      | ~ r1(sK69,X0)
      | ~ r1(X0,sK24(X1)) ),
    inference(resolution,[status(thm)],[c_292,c_144]) ).

tcf(c_4300,plain,
    ( ~ sP20(sK69)
    | ~ p1(sK24(sK69))
    | ~ r1(sK69,sK69)
    | ~ r1(sK69,sK24(sK69)) ),
    inference(instantiation,[status(thm)],[c_4299]) ).

tcf(c_4313,plain,
    ! [X0: $i,X1: $i] :
      ( p1(sK24(X1))
      | ~ sP20(X1)
      | ~ r1(sK69,X0)
      | ~ r1(X0,sK24(X1)) ),
    inference(resolution,[status(thm)],[c_291,c_143]) ).

tcf(c_4314,plain,
    ( p1(sK24(sK69))
    | ~ sP20(sK69)
    | ~ r1(sK69,sK69)
    | ~ r1(sK69,sK24(sK69)) ),
    inference(instantiation,[status(thm)],[c_4313]) ).

tcf(c_4315,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_4314,c_4300,c_339,c_297,c_296]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL686+1.015 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36  % Computer : n014.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 00:20:03 UTC 2026
% 0.03/0.36  % CPUTime  : 
% 0.03/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.40  Running first-order theorem proving
% 0.03/0.40  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.41  
% 0.03/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.41  
% 0.03/0.41  % Detected problem language: tptp
% 0.03/0.42  % Proving...
% 0.29/1.07  % SZS status Started for theBenchmark.p
% 0.29/1.07  % SZS status Theorem for theBenchmark.p
% 0.29/1.07  
% 0.29/1.07  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.29/1.07  
% 0.29/1.07  % ------  iProver source info
% 0.29/1.07  
% 0.29/1.07  % git: date: 2026-07-19 20:42:38 +0200
% 0.29/1.07  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.29/1.07  % git: non_committed_changes: false
% 0.29/1.07  
% 0.29/1.07  % ------ Parsing...
% 0.29/1.07  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 0.29/1.07  
% 0.29/1.07  % ------ Preprocessing... sf_s  rm: 2 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s% 
% 0.29/1.07  
% 0.29/1.07  % SZS status Theorem for theBenchmark.p
% 0.29/1.07  
% 0.29/1.07  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.29/1.07  
%------------------------------------------------------------------------------