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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : KRS100+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n003.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 0.13s 5.40s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    file('theBenchmark.p',axiom_0) ).

fof(axiom_1,axiom,
    ! [X] :
      ( xsd_string(X)
    <=> ~ xsd_integer(X) ),
    file('theBenchmark.p',axiom_1) ).

fof(axiom_2,axiom,
    ! [X] :
      ( cUnsatisfiable(X)
    <=> ( ? [Y] :
            ( ~ ce(Y)
            & rr(X,Y) )
        & ! [Y] :
            ( rr(X,Y)
           => cd(Y) )
        & ! [Y] :
            ( rr(X,Y)
           => ( ~ cd(Y)
              | ce(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_32704),
    file('theBenchmark.p',axiom_4) ).

fof(f_1_1,plain,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    inference(fof_nnf,[status(thm)],[axiom_0]) ).

fof(f_1_2,plain,
    ! [U_0] :
      ( ~ cowlNothing(U_0)
      & cowlThing(U_0) ),
    inference(variable_rename,[status(thm)],[f_1_1]) ).

fof(f_1_3,plain,
    ( ! [U_2] : ~ cowlNothing(U_2)
    & ! [U_1] : cowlThing(U_1) ),
    inference(miniscope,[status(thm)],[f_1_2]) ).

fof(f_1_4,plain,
    ( ! [U_2] : ~ cowlNothing(U_2)
    & ! [U_1] : cowlThing(U_1) ),
    inference(definitional_conversion,[status(esa)],[f_1_3]) ).

cnf(f_1_5,plain,
    cowlThing(U_1),
    inference(clausify,[status(thm)],[f_1_4]) ).

cnf(f_1_6,plain,
    ~ cowlNothing(U_2),
    inference(clausify,[status(thm)],[f_1_4]) ).

fof(f_2_1,plain,
    ! [X] :
      ( ( xsd_string(X)
        | xsd_integer(X) )
      & ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(fof_nnf,[status(thm)],[axiom_1]) ).

fof(f_2_2,plain,
    ! [U_3] :
      ( ( xsd_string(U_3)
        | xsd_integer(U_3) )
      & ( ~ xsd_integer(U_3)
        | ~ xsd_string(U_3) ) ),
    inference(variable_rename,[status(thm)],[f_2_1]) ).

fof(f_2_3,plain,
    ( ! [U_5] :
        ( xsd_string(U_5)
        | xsd_integer(U_5) )
    & ! [U_4] :
        ( ~ xsd_integer(U_4)
        | ~ xsd_string(U_4) ) ),
    inference(miniscope,[status(thm)],[f_2_2]) ).

fof(f_2_4,plain,
    ( ! [U_5] :
        ( xsd_string(U_5)
        | xsd_integer(U_5) )
    & ! [U_4] :
        ( ~ xsd_integer(U_4)
        | ~ xsd_string(U_4) ) ),
    inference(definitional_conversion,[status(esa)],[f_2_3]) ).

cnf(f_2_5,plain,
    ( ~ xsd_integer(U_4)
    | ~ xsd_string(U_4) ),
    inference(clausify,[status(thm)],[f_2_4]) ).

cnf(f_2_6,plain,
    ( xsd_string(U_5)
    | xsd_integer(U_5) ),
    inference(clausify,[status(thm)],[f_2_4]) ).

fof(f_3_1,plain,
    ! [X] :
      ( ( cUnsatisfiable(X)
        | ! [Y] :
            ( ce(Y)
            | ~ rr(X,Y) )
        | ? [Y] :
            ( ~ cd(Y)
            & rr(X,Y) )
        | ? [Y] :
            ( cd(Y)
            & ~ ce(Y)
            & rr(X,Y) ) )
      & ( ( ? [Y] :
              ( ~ ce(Y)
              & rr(X,Y) )
          & ! [Y] :
              ( cd(Y)
              | ~ rr(X,Y) )
          & ! [Y] :
              ( ~ cd(Y)
              | ce(Y)
              | ~ rr(X,Y) ) )
        | ~ cUnsatisfiable(X) ) ),
    inference(fof_nnf,[status(thm)],[axiom_2]) ).

fof(f_3_2,plain,
    ! [U_12] :
      ( ( cUnsatisfiable(U_12)
        | ! [U_11] :
            ( ce(U_11)
            | ~ rr(U_12,U_11) )
        | ? [U_10] :
            ( ~ cd(U_10)
            & rr(U_12,U_10) )
        | ? [U_9] :
            ( cd(U_9)
            & ~ ce(U_9)
            & rr(U_12,U_9) ) )
      & ( ( ? [U_8] :
              ( ~ ce(U_8)
              & rr(U_12,U_8) )
          & ! [U_7] :
              ( cd(U_7)
              | ~ rr(U_12,U_7) )
          & ! [U_6] :
              ( ~ cd(U_6)
              | ce(U_6)
              | ~ rr(U_12,U_6) ) )
        | ~ cUnsatisfiable(U_12) ) ),
    inference(variable_rename,[status(thm)],[f_3_1]) ).

fof(f_3_3,plain,
    ( ! [U_14] :
        ( cUnsatisfiable(U_14)
        | ! [U_11] :
            ( ce(U_11)
            | ~ rr(U_14,U_11) )
        | ? [U_10] :
            ( ~ cd(U_10)
            & rr(U_14,U_10) )
        | ? [U_9] :
            ( cd(U_9)
            & ~ ce(U_9)
            & rr(U_14,U_9) ) )
    & ! [U_13] :
        ( ( ? [U_8] :
              ( ~ ce(U_8)
              & rr(U_13,U_8) )
          & ! [U_7] :
              ( cd(U_7)
              | ~ rr(U_13,U_7) )
          & ! [U_6] :
              ( ~ cd(U_6)
              | ce(U_6)
              | ~ rr(U_13,U_6) ) )
        | ~ cUnsatisfiable(U_13) ) ),
    inference(miniscope,[status(thm)],[f_3_2]) ).

fof(f_3_4,plain,
    ( ! [U_14] :
        ( cUnsatisfiable(U_14)
        | ! [U_11] :
            ( ce(U_11)
            | ~ rr(U_14,U_11) )
        | ? [U_10] :
            ( ~ cd(U_10)
            & rr(U_14,U_10) )
        | ? [U_9] :
            ( cd(U_9)
            & ~ ce(U_9)
            & rr(U_14,U_9) ) )
    & ! [U_13] :
        ( ( ~ ce(sK1(U_13))
          & rr(U_13,sK1(U_13))
          & ! [U_7] :
              ( cd(U_7)
              | ~ rr(U_13,U_7) )
          & ! [U_6] :
              ( ~ cd(U_6)
              | ce(U_6)
              | ~ rr(U_13,U_6) ) )
        | ~ cUnsatisfiable(U_13) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_8,sK1(U_13))],[f_3_3]) ).

fof(f_3_5,plain,
    ( ! [U_14] :
        ( cUnsatisfiable(U_14)
        | ! [U_11] :
            ( ce(U_11)
            | ~ rr(U_14,U_11) )
        | ? [U_10] :
            ( ~ cd(U_10)
            & rr(U_14,U_10) )
        | ( cd(sK2(U_14))
          & ~ ce(sK2(U_14))
          & rr(U_14,sK2(U_14)) ) )
    & ! [U_13] :
        ( ( ~ ce(sK1(U_13))
          & rr(U_13,sK1(U_13))
          & ! [U_7] :
              ( cd(U_7)
              | ~ rr(U_13,U_7) )
          & ! [U_6] :
              ( ~ cd(U_6)
              | ce(U_6)
              | ~ rr(U_13,U_6) ) )
        | ~ cUnsatisfiable(U_13) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_9,sK2(U_14))],[f_3_4]) ).

fof(f_3_6,plain,
    ( ! [U_14] :
        ( cUnsatisfiable(U_14)
        | ! [U_11] :
            ( ce(U_11)
            | ~ rr(U_14,U_11) )
        | ( ~ cd(sK3(U_14))
          & rr(U_14,sK3(U_14)) )
        | ( cd(sK2(U_14))
          & ~ ce(sK2(U_14))
          & rr(U_14,sK2(U_14)) ) )
    & ! [U_13] :
        ( ( ~ ce(sK1(U_13))
          & rr(U_13,sK1(U_13))
          & ! [U_7] :
              ( cd(U_7)
              | ~ rr(U_13,U_7) )
          & ! [U_6] :
              ( ~ cd(U_6)
              | ce(U_6)
              | ~ rr(U_13,U_6) ) )
        | ~ cUnsatisfiable(U_13) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_10,sK3(U_14))],[f_3_5]) ).

fof(f_3_7,plain,
    ( ! [U_14] :
        ( ~ cd(sK3(U_14))
        | ~ sP2(U_14) )
    & ! [U_14] :
        ( rr(U_14,sK3(U_14))
        | ~ sP2(U_14) )
    & ! [U_14] :
        ( cd(sK2(U_14))
        | ~ sP1(U_14) )
    & ! [U_14] :
        ( ~ ce(sK2(U_14))
        | ~ sP1(U_14) )
    & ! [U_14] :
        ( rr(U_14,sK2(U_14))
        | ~ sP1(U_14) )
    & ! [U_6,U_7,U_13] :
        ( ~ ce(sK1(U_13))
        | ~ sP0(U_6,U_7,U_13) )
    & ! [U_6,U_7,U_13] :
        ( rr(U_13,sK1(U_13))
        | ~ sP0(U_6,U_7,U_13) )
    & ! [U_6,U_7,U_13] :
        ( cd(U_7)
        | ~ rr(U_13,U_7)
        | ~ sP0(U_6,U_7,U_13) )
    & ! [U_6,U_7,U_13] :
        ( ~ cd(U_6)
        | ce(U_6)
        | ~ rr(U_13,U_6)
        | ~ sP0(U_6,U_7,U_13) )
    & ! [U_11,U_14] :
        ( cUnsatisfiable(U_14)
        | ce(U_11)
        | ~ rr(U_14,U_11)
        | sP2(U_14)
        | sP1(U_14) )
    & ! [U_6,U_7,U_13] :
        ( sP0(U_6,U_7,U_13)
        | ~ cUnsatisfiable(U_13) ) ),
    inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2])],[f_3_6]) ).

cnf(f_3_8,plain,
    ( sP0(U_6,U_7,U_13)
    | ~ cUnsatisfiable(U_13) ),
    inference(clausify,[status(thm)],[f_3_7]) ).

cnf(f_3_9,plain,
    ( cUnsatisfiable(U_14)
    | ce(U_11)
    | ~ rr(U_14,U_11)
    | sP2(U_14)
    | sP1(U_14) ),
    inference(clausify,[status(thm)],[f_3_7]) ).

cnf(f_3_10,plain,
    ( ~ cd(U_6)
    | ce(U_6)
    | ~ rr(U_13,U_6)
    | ~ sP0(U_6,U_7,U_13) ),
    inference(clausify,[status(thm)],[f_3_7]) ).

cnf(f_3_11,plain,
    ( cd(U_7)
    | ~ rr(U_13,U_7)
    | ~ sP0(U_6,U_7,U_13) ),
    inference(clausify,[status(thm)],[f_3_7]) ).

cnf(f_3_12,plain,
    ( rr(U_13,sK1(U_13))
    | ~ sP0(U_6,U_7,U_13) ),
    inference(clausify,[status(thm)],[f_3_7]) ).

cnf(f_3_13,plain,
    ( ~ ce(sK1(U_13))
    | ~ sP0(U_6,U_7,U_13) ),
    inference(clausify,[status(thm)],[f_3_7]) ).

cnf(f_3_14,plain,
    ( rr(U_14,sK2(U_14))
    | ~ sP1(U_14) ),
    inference(clausify,[status(thm)],[f_3_7]) ).

cnf(f_3_15,plain,
    ( ~ ce(sK2(U_14))
    | ~ sP1(U_14) ),
    inference(clausify,[status(thm)],[f_3_7]) ).

cnf(f_3_16,plain,
    ( cd(sK2(U_14))
    | ~ sP1(U_14) ),
    inference(clausify,[status(thm)],[f_3_7]) ).

cnf(f_3_17,plain,
    ( rr(U_14,sK3(U_14))
    | ~ sP2(U_14) ),
    inference(clausify,[status(thm)],[f_3_7]) ).

cnf(f_3_18,plain,
    ( ~ cd(sK3(U_14))
    | ~ sP2(U_14) ),
    inference(clausify,[status(thm)],[f_3_7]) ).

fof(f_4_1,plain,
    ! [X] :
      ( ~ cd(X)
      | ~ cc(X) ),
    inference(fof_nnf,[status(thm)],[axiom_3]) ).

fof(f_4_2,plain,
    ! [U_15] :
      ( ~ cd(U_15)
      | ~ cc(U_15) ),
    inference(variable_rename,[status(thm)],[f_4_1]) ).

fof(f_4_3,plain,
    ! [U_15] :
      ( ~ cd(U_15)
      | ~ cc(U_15) ),
    inference(definitional_conversion,[status(esa)],[f_4_2]) ).

cnf(f_4_4,plain,
    ( ~ cd(U_15)
    | ~ cc(U_15) ),
    inference(clausify,[status(thm)],[f_4_3]) ).

fof(f_5_1,plain,
    cUnsatisfiable(i2003_11_14_17_20_32704),
    inference(fof_nnf,[status(thm)],[axiom_4]) ).

fof(f_5_2,plain,
    cUnsatisfiable(i2003_11_14_17_20_32704),
    inference(definitional_conversion,[status(esa)],[f_5_1]) ).

cnf(f_5_3,plain,
    cUnsatisfiable(i2003_11_14_17_20_32704),
    inference(clausify,[status(thm)],[f_5_2]) ).

cnf(sat_proved,plain,
    $false,
    inference(cadical,[status(thm)],[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KRS100+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03  This is a FOF_UNS_RFO_NEQ problem
% 0.00/0.03  % Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/5.36  % Computer : n003.cluster.edu
% 0.07/5.36  % Model    : x86_64 x86_64
% 0.07/5.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/5.36  % Memory   : 8046.5625MB
% 0.07/5.36  % OS       : Linux 6.8.0-71-generic
% 0.07/5.36  % CPULimit : 300
% 0.07/5.36  % WCLimit  : 300
% 0.07/5.36  % DateTime : Sat Sep 19 12:14:03 UTC 2026
% 0.07/5.37  % CPUTime  : 
% 0.13/5.40  % SZS status Unsatisfiable for theBenchmark
% 0.13/5.40  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------