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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : KRS101+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n011.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 : Thu Sep 24 08:47:16 AM UTC 2026

% Result   : Unsatisfiable 0.57s 0.82s
% Output   : Proof 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   71 (  32 unt;   0 def)
%            Number of atoms       :  388 (  50 equ)
%            Maximal formula atoms :   40 (   5 avg)
%            Number of connectives :  507 ( 190   ~; 182   |; 130   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-5 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-1 aty)
%            Number of variables   :  272 (  72 sgn 143   !;  45   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
    ! [X] :
      ( cUnsatisfiable(X)
    <=> ( ? [Y] :
            ( ~ ! [Z0,Z1] :
                  ( ( rs(Y,Z1)
                    & rs(Y,Z0) )
                 => Z0 = Z1 )
            & rr(X,Y) )
        & ! [Y] :
            ( rr(X,Y)
           => ( cc(Y)
              | ~ ? [Z0,Z1] :
                    ( Z0 != Z1
                    & rs(Y,Z1)
                    & rs(Y,Z0) ) ) )
        & ! [Y] :
            ( rr(X,Y)
           => cd(Y) ) ) ),
    file('theBenchmark.p',axiom_2) ).

fof(axiom_3,axiom,
    ! [X] :
      ( cc(X)
     => ~ cd(X) ),
    file('theBenchmark.p',axiom_3) ).

fof(axiom_4,axiom,
    cUnsatisfiable(i2003_11_14_17_20_36582),
    file('theBenchmark.p',axiom_4) ).

fof(f_14_1,plain,
    ! [X] :
      ( ( cUnsatisfiable(X)
        | ! [Y] :
            ( ! [Z0,Z1] :
                ( Z0 = Z1
                | ~ rs(Y,Z1)
                | ~ rs(Y,Z0) )
            | ~ rr(X,Y) )
        | ? [Y] :
            ( ~ cc(Y)
            & ? [Z0,Z1] :
                ( Z0 != Z1
                & rs(Y,Z1)
                & rs(Y,Z0) )
            & rr(X,Y) )
        | ? [Y] :
            ( ~ cd(Y)
            & rr(X,Y) ) )
      & ( ( ? [Y] :
              ( ? [Z0,Z1] :
                  ( Z0 != Z1
                  & rs(Y,Z1)
                  & rs(Y,Z0) )
              & rr(X,Y) )
          & ! [Y] :
              ( cc(Y)
              | ! [Z0,Z1] :
                  ( Z0 = Z1
                  | ~ rs(Y,Z1)
                  | ~ rs(Y,Z0) )
              | ~ rr(X,Y) )
          & ! [Y] :
              ( cd(Y)
              | ~ rr(X,Y) ) )
        | ~ cUnsatisfiable(X) ) ),
    inference(fof_nnf,[status(thm)],[axiom_2]) ).

fof(f_14_2,plain,
    ! [U_46] :
      ( ( cUnsatisfiable(U_46)
        | ! [U_45] :
            ( ! [U_44,U_43] :
                ( U_44 = U_43
                | ~ rs(U_45,U_43)
                | ~ rs(U_45,U_44) )
            | ~ rr(U_46,U_45) )
        | ? [U_42] :
            ( ~ cc(U_42)
            & ? [U_41,U_40] :
                ( U_41 != U_40
                & rs(U_42,U_40)
                & rs(U_42,U_41) )
            & rr(U_46,U_42) )
        | ? [U_39] :
            ( ~ cd(U_39)
            & rr(U_46,U_39) ) )
      & ( ( ? [U_38] :
              ( ? [U_37,U_36] :
                  ( U_37 != U_36
                  & rs(U_38,U_36)
                  & rs(U_38,U_37) )
              & rr(U_46,U_38) )
          & ! [U_35] :
              ( cc(U_35)
              | ! [U_34,U_33] :
                  ( U_34 = U_33
                  | ~ rs(U_35,U_33)
                  | ~ rs(U_35,U_34) )
              | ~ rr(U_46,U_35) )
          & ! [U_32] :
              ( cd(U_32)
              | ~ rr(U_46,U_32) ) )
        | ~ cUnsatisfiable(U_46) ) ),
    inference(variable_rename,[status(thm)],[f_14_1]) ).

fof(f_14_3,plain,
    ( ! [U_48] :
        ( cUnsatisfiable(U_48)
        | ! [U_45] :
            ( ! [U_44,U_43] :
                ( U_44 = U_43
                | ~ rs(U_45,U_43)
                | ~ rs(U_45,U_44) )
            | ~ rr(U_48,U_45) )
        | ? [U_42] :
            ( ~ cc(U_42)
            & ? [U_41] :
                ( ? [U_40] :
                    ( U_41 != U_40
                    & rs(U_42,U_40) )
                & rs(U_42,U_41) )
            & rr(U_48,U_42) )
        | ? [U_39] :
            ( ~ cd(U_39)
            & rr(U_48,U_39) ) )
    & ! [U_47] :
        ( ( ? [U_38] :
              ( ? [U_37,U_36] :
                  ( U_37 != U_36
                  & rs(U_38,U_36)
                  & rs(U_38,U_37) )
              & rr(U_47,U_38) )
          & ! [U_35] :
              ( cc(U_35)
              | ! [U_34] :
                  ( ! [U_33] :
                      ( U_34 = U_33
                      | ~ rs(U_35,U_33) )
                  | ~ rs(U_35,U_34) )
              | ~ rr(U_47,U_35) )
          & ! [U_32] :
              ( cd(U_32)
              | ~ rr(U_47,U_32) ) )
        | ~ cUnsatisfiable(U_47) ) ),
    inference(miniscope,[status(thm)],[f_14_2]) ).

fof(f_14_4,plain,
    ( ! [U_48] :
        ( cUnsatisfiable(U_48)
        | ! [U_45] :
            ( ! [U_44,U_43] :
                ( U_44 = U_43
                | ~ rs(U_45,U_43)
                | ~ rs(U_45,U_44) )
            | ~ rr(U_48,U_45) )
        | ? [U_42] :
            ( ~ cc(U_42)
            & ? [U_41] :
                ( ? [U_40] :
                    ( U_41 != U_40
                    & rs(U_42,U_40) )
                & rs(U_42,U_41) )
            & rr(U_48,U_42) )
        | ? [U_39] :
            ( ~ cd(U_39)
            & rr(U_48,U_39) ) )
    & ! [U_47] :
        ( ( ? [U_37,U_36] :
              ( U_37 != U_36
              & rs(sK1(U_47),U_36)
              & rs(sK1(U_47),U_37) )
          & rr(U_47,sK1(U_47))
          & ! [U_35] :
              ( cc(U_35)
              | ! [U_34] :
                  ( ! [U_33] :
                      ( U_34 = U_33
                      | ~ rs(U_35,U_33) )
                  | ~ rs(U_35,U_34) )
              | ~ rr(U_47,U_35) )
          & ! [U_32] :
              ( cd(U_32)
              | ~ rr(U_47,U_32) ) )
        | ~ cUnsatisfiable(U_47) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_38,sK1(U_47))],[f_14_3]) ).

fof(f_14_5,plain,
    ( ! [U_48] :
        ( cUnsatisfiable(U_48)
        | ! [U_45] :
            ( ! [U_44,U_43] :
                ( U_44 = U_43
                | ~ rs(U_45,U_43)
                | ~ rs(U_45,U_44) )
            | ~ rr(U_48,U_45) )
        | ? [U_42] :
            ( ~ cc(U_42)
            & ? [U_41] :
                ( ? [U_40] :
                    ( U_41 != U_40
                    & rs(U_42,U_40) )
                & rs(U_42,U_41) )
            & rr(U_48,U_42) )
        | ? [U_39] :
            ( ~ cd(U_39)
            & rr(U_48,U_39) ) )
    & ! [U_47] :
        ( ( ? [U_36] :
              ( sK2(U_47) != U_36
              & rs(sK1(U_47),U_36)
              & rs(sK1(U_47),sK2(U_47)) )
          & rr(U_47,sK1(U_47))
          & ! [U_35] :
              ( cc(U_35)
              | ! [U_34] :
                  ( ! [U_33] :
                      ( U_34 = U_33
                      | ~ rs(U_35,U_33) )
                  | ~ rs(U_35,U_34) )
              | ~ rr(U_47,U_35) )
          & ! [U_32] :
              ( cd(U_32)
              | ~ rr(U_47,U_32) ) )
        | ~ cUnsatisfiable(U_47) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_37,sK2(U_47))],[f_14_4]) ).

fof(f_14_6,plain,
    ( ! [U_48] :
        ( cUnsatisfiable(U_48)
        | ! [U_45] :
            ( ! [U_44,U_43] :
                ( U_44 = U_43
                | ~ rs(U_45,U_43)
                | ~ rs(U_45,U_44) )
            | ~ rr(U_48,U_45) )
        | ? [U_42] :
            ( ~ cc(U_42)
            & ? [U_41] :
                ( ? [U_40] :
                    ( U_41 != U_40
                    & rs(U_42,U_40) )
                & rs(U_42,U_41) )
            & rr(U_48,U_42) )
        | ? [U_39] :
            ( ~ cd(U_39)
            & rr(U_48,U_39) ) )
    & ! [U_47] :
        ( ( sK2(U_47) != sK3(U_47)
          & rs(sK1(U_47),sK3(U_47))
          & rs(sK1(U_47),sK2(U_47))
          & rr(U_47,sK1(U_47))
          & ! [U_35] :
              ( cc(U_35)
              | ! [U_34] :
                  ( ! [U_33] :
                      ( U_34 = U_33
                      | ~ rs(U_35,U_33) )
                  | ~ rs(U_35,U_34) )
              | ~ rr(U_47,U_35) )
          & ! [U_32] :
              ( cd(U_32)
              | ~ rr(U_47,U_32) ) )
        | ~ cUnsatisfiable(U_47) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_36,sK3(U_47))],[f_14_5]) ).

fof(f_14_7,plain,
    ( ! [U_48] :
        ( cUnsatisfiable(U_48)
        | ! [U_45] :
            ( ! [U_44,U_43] :
                ( U_44 = U_43
                | ~ rs(U_45,U_43)
                | ~ rs(U_45,U_44) )
            | ~ rr(U_48,U_45) )
        | ? [U_42] :
            ( ~ cc(U_42)
            & ? [U_41] :
                ( ? [U_40] :
                    ( U_41 != U_40
                    & rs(U_42,U_40) )
                & rs(U_42,U_41) )
            & rr(U_48,U_42) )
        | ( ~ cd(sK4(U_48))
          & rr(U_48,sK4(U_48)) ) )
    & ! [U_47] :
        ( ( sK2(U_47) != sK3(U_47)
          & rs(sK1(U_47),sK3(U_47))
          & rs(sK1(U_47),sK2(U_47))
          & rr(U_47,sK1(U_47))
          & ! [U_35] :
              ( cc(U_35)
              | ! [U_34] :
                  ( ! [U_33] :
                      ( U_34 = U_33
                      | ~ rs(U_35,U_33) )
                  | ~ rs(U_35,U_34) )
              | ~ rr(U_47,U_35) )
          & ! [U_32] :
              ( cd(U_32)
              | ~ rr(U_47,U_32) ) )
        | ~ cUnsatisfiable(U_47) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_39,sK4(U_48))],[f_14_6]) ).

fof(f_14_8,plain,
    ( ! [U_48] :
        ( cUnsatisfiable(U_48)
        | ! [U_45] :
            ( ! [U_44,U_43] :
                ( U_44 = U_43
                | ~ rs(U_45,U_43)
                | ~ rs(U_45,U_44) )
            | ~ rr(U_48,U_45) )
        | ( ~ cc(sK5(U_48))
          & ? [U_41] :
              ( ? [U_40] :
                  ( U_41 != U_40
                  & rs(sK5(U_48),U_40) )
              & rs(sK5(U_48),U_41) )
          & rr(U_48,sK5(U_48)) )
        | ( ~ cd(sK4(U_48))
          & rr(U_48,sK4(U_48)) ) )
    & ! [U_47] :
        ( ( sK2(U_47) != sK3(U_47)
          & rs(sK1(U_47),sK3(U_47))
          & rs(sK1(U_47),sK2(U_47))
          & rr(U_47,sK1(U_47))
          & ! [U_35] :
              ( cc(U_35)
              | ! [U_34] :
                  ( ! [U_33] :
                      ( U_34 = U_33
                      | ~ rs(U_35,U_33) )
                  | ~ rs(U_35,U_34) )
              | ~ rr(U_47,U_35) )
          & ! [U_32] :
              ( cd(U_32)
              | ~ rr(U_47,U_32) ) )
        | ~ cUnsatisfiable(U_47) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_42,sK5(U_48))],[f_14_7]) ).

fof(f_14_9,plain,
    ( ! [U_48] :
        ( cUnsatisfiable(U_48)
        | ! [U_45] :
            ( ! [U_44,U_43] :
                ( U_44 = U_43
                | ~ rs(U_45,U_43)
                | ~ rs(U_45,U_44) )
            | ~ rr(U_48,U_45) )
        | ( ~ cc(sK5(U_48))
          & ? [U_40] :
              ( sK6(U_48) != U_40
              & rs(sK5(U_48),U_40) )
          & rs(sK5(U_48),sK6(U_48))
          & rr(U_48,sK5(U_48)) )
        | ( ~ cd(sK4(U_48))
          & rr(U_48,sK4(U_48)) ) )
    & ! [U_47] :
        ( ( sK2(U_47) != sK3(U_47)
          & rs(sK1(U_47),sK3(U_47))
          & rs(sK1(U_47),sK2(U_47))
          & rr(U_47,sK1(U_47))
          & ! [U_35] :
              ( cc(U_35)
              | ! [U_34] :
                  ( ! [U_33] :
                      ( U_34 = U_33
                      | ~ rs(U_35,U_33) )
                  | ~ rs(U_35,U_34) )
              | ~ rr(U_47,U_35) )
          & ! [U_32] :
              ( cd(U_32)
              | ~ rr(U_47,U_32) ) )
        | ~ cUnsatisfiable(U_47) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_41,sK6(U_48))],[f_14_8]) ).

fof(f_14_10,plain,
    ( ! [U_48] :
        ( cUnsatisfiable(U_48)
        | ! [U_45] :
            ( ! [U_44,U_43] :
                ( U_44 = U_43
                | ~ rs(U_45,U_43)
                | ~ rs(U_45,U_44) )
            | ~ rr(U_48,U_45) )
        | ( ~ cc(sK5(U_48))
          & sK6(U_48) != sK7(U_48)
          & rs(sK5(U_48),sK7(U_48))
          & rs(sK5(U_48),sK6(U_48))
          & rr(U_48,sK5(U_48)) )
        | ( ~ cd(sK4(U_48))
          & rr(U_48,sK4(U_48)) ) )
    & ! [U_47] :
        ( ( sK2(U_47) != sK3(U_47)
          & rs(sK1(U_47),sK3(U_47))
          & rs(sK1(U_47),sK2(U_47))
          & rr(U_47,sK1(U_47))
          & ! [U_35] :
              ( cc(U_35)
              | ! [U_34] :
                  ( ! [U_33] :
                      ( U_34 = U_33
                      | ~ rs(U_35,U_33) )
                  | ~ rs(U_35,U_34) )
              | ~ rr(U_47,U_35) )
          & ! [U_32] :
              ( cd(U_32)
              | ~ rr(U_47,U_32) ) )
        | ~ cUnsatisfiable(U_47) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_40,sK7(U_48))],[f_14_9]) ).

fof(f_14_11,plain,
    ( ! [U_48] :
        ( ~ cc(sK5(U_48))
        | ~ sP2(U_48) )
    & ! [U_48] :
        ( sK6(U_48) != sK7(U_48)
        | ~ sP2(U_48) )
    & ! [U_48] :
        ( rs(sK5(U_48),sK7(U_48))
        | ~ sP2(U_48) )
    & ! [U_48] :
        ( rs(sK5(U_48),sK6(U_48))
        | ~ sP2(U_48) )
    & ! [U_48] :
        ( rr(U_48,sK5(U_48))
        | ~ sP2(U_48) )
    & ! [U_48] :
        ( ~ cd(sK4(U_48))
        | ~ sP1(U_48) )
    & ! [U_48] :
        ( rr(U_48,sK4(U_48))
        | ~ sP1(U_48) )
    & ! [U_32,U_47,U_34,U_35,U_33] :
        ( sK2(U_47) != sK3(U_47)
        | ~ sP0(U_32,U_47,U_34,U_35,U_33) )
    & ! [U_32,U_47,U_34,U_35,U_33] :
        ( rs(sK1(U_47),sK3(U_47))
        | ~ sP0(U_32,U_47,U_34,U_35,U_33) )
    & ! [U_32,U_47,U_34,U_35,U_33] :
        ( rs(sK1(U_47),sK2(U_47))
        | ~ sP0(U_32,U_47,U_34,U_35,U_33) )
    & ! [U_32,U_47,U_34,U_35,U_33] :
        ( rr(U_47,sK1(U_47))
        | ~ sP0(U_32,U_47,U_34,U_35,U_33) )
    & ! [U_32,U_47,U_34,U_35,U_33] :
        ( cc(U_35)
        | U_34 = U_33
        | ~ rs(U_35,U_33)
        | ~ rs(U_35,U_34)
        | ~ rr(U_47,U_35)
        | ~ sP0(U_32,U_47,U_34,U_35,U_33) )
    & ! [U_32,U_47,U_34,U_35,U_33] :
        ( cd(U_32)
        | ~ rr(U_47,U_32)
        | ~ sP0(U_32,U_47,U_34,U_35,U_33) )
    & ! [U_48,U_45,U_43,U_44] :
        ( cUnsatisfiable(U_48)
        | U_44 = U_43
        | ~ rs(U_45,U_43)
        | ~ rs(U_45,U_44)
        | ~ rr(U_48,U_45)
        | sP2(U_48)
        | sP1(U_48) )
    & ! [U_32,U_47,U_34,U_35,U_33] :
        ( sP0(U_32,U_47,U_34,U_35,U_33)
        | ~ cUnsatisfiable(U_47) ) ),
    inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2])],[f_14_10]) ).

cnf(f_14_12,plain,
    ( sP0(U_32,U_47,U_34,U_35,U_33)
    | ~ cUnsatisfiable(U_47) ),
    inference(clausify,[status(thm)],[f_14_11]) ).

cnf(f_14_14,plain,
    ( cd(U_32)
    | ~ rr(U_47,U_32)
    | ~ sP0(U_32,U_47,U_34,U_35,U_33) ),
    inference(clausify,[status(thm)],[f_14_11]) ).

cnf(f_14_15,plain,
    ( cc(U_35)
    | U_34 = U_33
    | ~ rs(U_35,U_33)
    | ~ rs(U_35,U_34)
    | ~ rr(U_47,U_35)
    | ~ sP0(U_32,U_47,U_34,U_35,U_33) ),
    inference(clausify,[status(thm)],[f_14_11]) ).

cnf(f_14_16,plain,
    ( rr(U_47,sK1(U_47))
    | ~ sP0(U_32,U_47,U_34,U_35,U_33) ),
    inference(clausify,[status(thm)],[f_14_11]) ).

cnf(f_14_17,plain,
    ( rs(sK1(U_47),sK2(U_47))
    | ~ sP0(U_32,U_47,U_34,U_35,U_33) ),
    inference(clausify,[status(thm)],[f_14_11]) ).

cnf(f_14_18,plain,
    ( rs(sK1(U_47),sK3(U_47))
    | ~ sP0(U_32,U_47,U_34,U_35,U_33) ),
    inference(clausify,[status(thm)],[f_14_11]) ).

cnf(f_14_19,plain,
    ( sK2(U_47) != sK3(U_47)
    | ~ sP0(U_32,U_47,U_34,U_35,U_33) ),
    inference(clausify,[status(thm)],[f_14_11]) ).

fof(f_15_1,plain,
    ! [X] :
      ( ~ cd(X)
      | ~ cc(X) ),
    inference(fof_nnf,[status(thm)],[axiom_3]) ).

fof(f_15_2,plain,
    ! [U_49] :
      ( ~ cd(U_49)
      | ~ cc(U_49) ),
    inference(variable_rename,[status(thm)],[f_15_1]) ).

fof(f_15_3,plain,
    ! [U_49] :
      ( ~ cd(U_49)
      | ~ cc(U_49) ),
    inference(definitional_conversion,[status(esa)],[f_15_2]) ).

cnf(f_15_4,plain,
    ( ~ cd(U_49)
    | ~ cc(U_49) ),
    inference(clausify,[status(thm)],[f_15_3]) ).

fof(f_16_1,plain,
    cUnsatisfiable(i2003_11_14_17_20_36582),
    inference(fof_nnf,[status(thm)],[axiom_4]) ).

fof(f_16_2,plain,
    cUnsatisfiable(i2003_11_14_17_20_36582),
    inference(definitional_conversion,[status(esa)],[f_16_1]) ).

cnf(f_16_3,plain,
    cUnsatisfiable(i2003_11_14_17_20_36582),
    inference(clausify,[status(thm)],[f_16_2]) ).

cnf(t1,plain,
    ( ~ cd(sK1(i2003_11_14_17_20_36582))
    | ~ cc(sK1(i2003_11_14_17_20_36582)) ),
    inference(start,[status(thm),parent(0:0)],[f_15_4]) ).

cnf(t2,plain,
    ( ~ rr(i2003_11_14_17_20_36582,sK1(i2003_11_14_17_20_36582))
    | ~ rs(sK1(i2003_11_14_17_20_36582),sK2(i2003_11_14_17_20_36582))
    | ~ rs(sK1(i2003_11_14_17_20_36582),sK3(i2003_11_14_17_20_36582))
    | sK2(i2003_11_14_17_20_36582) = sK3(i2003_11_14_17_20_36582)
    | ~ sP0(U_737,i2003_11_14_17_20_36582,sK2(i2003_11_14_17_20_36582),sK1(i2003_11_14_17_20_36582),sK3(i2003_11_14_17_20_36582))
    | cc(sK1(i2003_11_14_17_20_36582)) ),
    inference(extension,[status(thm),parent(t1:1)],[f_14_15]) ).

cnf(t3,plain,
    $false,
    inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).

cnf(t4,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_20_36582)
    | sP0(U_737,i2003_11_14_17_20_36582,sK2(i2003_11_14_17_20_36582),sK1(i2003_11_14_17_20_36582),sK3(i2003_11_14_17_20_36582)) ),
    inference(extension,[status(thm),parent(t2:2)],[f_14_12]) ).

cnf(t5,plain,
    $false,
    inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).

cnf(t6,plain,
    cUnsatisfiable(i2003_11_14_17_20_36582),
    inference(extension,[status(thm),parent(t4:2)],[f_16_3]) ).

cnf(t7,plain,
    $false,
    inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).

cnf(t8,plain,
    ( ~ sP0(U_747,i2003_11_14_17_20_36582,U_748,U_749,U_750)
    | sK2(i2003_11_14_17_20_36582) != sK3(i2003_11_14_17_20_36582) ),
    inference(extension,[status(thm),parent(t2:3)],[f_14_19]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).

cnf(t10,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_20_36582)
    | sP0(U_747,i2003_11_14_17_20_36582,U_748,U_749,U_750) ),
    inference(extension,[status(thm),parent(t8:2)],[f_14_12]) ).

cnf(t11,plain,
    $false,
    inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).

cnf(t12,plain,
    cUnsatisfiable(i2003_11_14_17_20_36582),
    inference(extension,[status(thm),parent(t10:2)],[f_16_3]) ).

cnf(t13,plain,
    $false,
    inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).

cnf(t14,plain,
    ( ~ sP0(U_757,i2003_11_14_17_20_36582,U_758,U_759,U_760)
    | rs(sK1(i2003_11_14_17_20_36582),sK3(i2003_11_14_17_20_36582)) ),
    inference(extension,[status(thm),parent(t2:4)],[f_14_18]) ).

cnf(t15,plain,
    $false,
    inference(connection,[status(thm),parent(t14:1)],[t14:1,t2:4]) ).

cnf(t16,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_20_36582)
    | sP0(U_757,i2003_11_14_17_20_36582,U_758,U_759,U_760) ),
    inference(extension,[status(thm),parent(t14:2)],[f_14_12]) ).

cnf(t17,plain,
    $false,
    inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).

cnf(t18,plain,
    cUnsatisfiable(i2003_11_14_17_20_36582),
    inference(extension,[status(thm),parent(t16:2)],[f_16_3]) ).

cnf(t19,plain,
    $false,
    inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).

cnf(t20,plain,
    ( ~ sP0(U_767,i2003_11_14_17_20_36582,U_768,U_769,U_770)
    | rs(sK1(i2003_11_14_17_20_36582),sK2(i2003_11_14_17_20_36582)) ),
    inference(extension,[status(thm),parent(t2:5)],[f_14_17]) ).

cnf(t21,plain,
    $false,
    inference(connection,[status(thm),parent(t20:1)],[t20:1,t2:5]) ).

cnf(t22,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_20_36582)
    | sP0(U_767,i2003_11_14_17_20_36582,U_768,U_769,U_770) ),
    inference(extension,[status(thm),parent(t20:2)],[f_14_12]) ).

cnf(t23,plain,
    $false,
    inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).

cnf(t24,plain,
    cUnsatisfiable(i2003_11_14_17_20_36582),
    inference(extension,[status(thm),parent(t22:2)],[f_16_3]) ).

cnf(t25,plain,
    $false,
    inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).

cnf(t26,plain,
    ( ~ sP0(U_777,i2003_11_14_17_20_36582,U_778,U_779,U_780)
    | rr(i2003_11_14_17_20_36582,sK1(i2003_11_14_17_20_36582)) ),
    inference(extension,[status(thm),parent(t2:6)],[f_14_16]) ).

cnf(t27,plain,
    $false,
    inference(connection,[status(thm),parent(t26:1)],[t26:1,t2:6]) ).

cnf(t28,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_20_36582)
    | sP0(U_777,i2003_11_14_17_20_36582,U_778,U_779,U_780) ),
    inference(extension,[status(thm),parent(t26:2)],[f_14_12]) ).

cnf(t29,plain,
    $false,
    inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).

cnf(t30,plain,
    cUnsatisfiable(i2003_11_14_17_20_36582),
    inference(extension,[status(thm),parent(t28:2)],[f_16_3]) ).

cnf(t31,plain,
    $false,
    inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).

cnf(t32,plain,
    ( ~ rr(i2003_11_14_17_20_36582,sK1(i2003_11_14_17_20_36582))
    | ~ sP0(sK1(i2003_11_14_17_20_36582),i2003_11_14_17_20_36582,U_788,U_789,U_790)
    | cd(sK1(i2003_11_14_17_20_36582)) ),
    inference(extension,[status(thm),parent(t1:2)],[f_14_14]) ).

cnf(t33,plain,
    $false,
    inference(connection,[status(thm),parent(t32:1)],[t32:1,t1:2]) ).

cnf(t34,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_20_36582)
    | sP0(sK1(i2003_11_14_17_20_36582),i2003_11_14_17_20_36582,U_788,U_789,U_790) ),
    inference(extension,[status(thm),parent(t32:2)],[f_14_12]) ).

cnf(t35,plain,
    $false,
    inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).

cnf(t36,plain,
    cUnsatisfiable(i2003_11_14_17_20_36582),
    inference(extension,[status(thm),parent(t34:2)],[f_16_3]) ).

cnf(t37,plain,
    $false,
    inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).

cnf(t38,plain,
    ( ~ sP0(U_797,i2003_11_14_17_20_36582,U_798,U_799,U_800)
    | rr(i2003_11_14_17_20_36582,sK1(i2003_11_14_17_20_36582)) ),
    inference(extension,[status(thm),parent(t32:3)],[f_14_16]) ).

cnf(t39,plain,
    $false,
    inference(connection,[status(thm),parent(t38:1)],[t38:1,t32:3]) ).

cnf(t40,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_20_36582)
    | sP0(U_797,i2003_11_14_17_20_36582,U_798,U_799,U_800) ),
    inference(extension,[status(thm),parent(t38:2)],[f_14_12]) ).

cnf(t41,plain,
    $false,
    inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).

cnf(t42,plain,
    cUnsatisfiable(i2003_11_14_17_20_36582),
    inference(extension,[status(thm),parent(t40:2)],[f_16_3]) ).

cnf(t43,plain,
    $false,
    inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS101+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03  This is a FOF_UNS_RFO_SEQ problem
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n011.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sat Sep 19 12:12:26 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.57/0.82  % SZS status Unsatisfiable for theBenchmark
% 0.57/0.82  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------