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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : KRS067+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 : n006.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 08:47:12 AM UTC 2026

% Result   : Unsatisfiable 0.14s 5.41s
% Output   : Proof 0.14s
% 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)
    <=> ( ( ca(X)
          & cc(X) )
        | ( ca(X)
          & cb(X) )
        | ( cb(X)
          & cc(X) ) ) ),
    file('theBenchmark.p',axiom_2) ).

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

fof(axiom_4,axiom,
    ! [X] :
      ( cb(X)
     => ~ cc(X) ),
    file('theBenchmark.p',axiom_4) ).

fof(axiom_5,axiom,
    cUnsatisfiable(i2003_11_14_17_18_1956),
    file('theBenchmark.p',axiom_5) ).

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)
        | ( ( ~ ca(X)
            | ~ cc(X) )
          & ( ~ ca(X)
            | ~ cb(X) )
          & ( ~ cb(X)
            | ~ cc(X) ) ) )
      & ( ( ca(X)
          & cc(X) )
        | ( ca(X)
          & cb(X) )
        | ( cb(X)
          & cc(X) )
        | ~ cUnsatisfiable(X) ) ),
    inference(fof_nnf,[status(thm)],[axiom_2]) ).

fof(f_3_2,plain,
    ! [U_6] :
      ( ( cUnsatisfiable(U_6)
        | ( ( ~ ca(U_6)
            | ~ cc(U_6) )
          & ( ~ ca(U_6)
            | ~ cb(U_6) )
          & ( ~ cb(U_6)
            | ~ cc(U_6) ) ) )
      & ( ( ca(U_6)
          & cc(U_6) )
        | ( ca(U_6)
          & cb(U_6) )
        | ( cb(U_6)
          & cc(U_6) )
        | ~ cUnsatisfiable(U_6) ) ),
    inference(variable_rename,[status(thm)],[f_3_1]) ).

fof(f_3_3,plain,
    ( ! [U_8] :
        ( cUnsatisfiable(U_8)
        | ( ( ~ ca(U_8)
            | ~ cc(U_8) )
          & ( ~ ca(U_8)
            | ~ cb(U_8) )
          & ( ~ cb(U_8)
            | ~ cc(U_8) ) ) )
    & ! [U_7] :
        ( ( ca(U_7)
          & cc(U_7) )
        | ( ca(U_7)
          & cb(U_7) )
        | ( cb(U_7)
          & cc(U_7) )
        | ~ cUnsatisfiable(U_7) ) ),
    inference(miniscope,[status(thm)],[f_3_2]) ).

fof(f_3_4,plain,
    ( ! [U_8] :
        ( ~ ca(U_8)
        | ~ cc(U_8)
        | ~ sP3(U_8) )
    & ! [U_8] :
        ( ~ ca(U_8)
        | ~ cb(U_8)
        | ~ sP3(U_8) )
    & ! [U_8] :
        ( ~ cb(U_8)
        | ~ cc(U_8)
        | ~ sP3(U_8) )
    & ! [U_7] :
        ( ca(U_7)
        | ~ sP2(U_7) )
    & ! [U_7] :
        ( cc(U_7)
        | ~ sP2(U_7) )
    & ! [U_7] :
        ( ca(U_7)
        | ~ sP1(U_7) )
    & ! [U_7] :
        ( cb(U_7)
        | ~ sP1(U_7) )
    & ! [U_7] :
        ( cb(U_7)
        | ~ sP0(U_7) )
    & ! [U_7] :
        ( cc(U_7)
        | ~ sP0(U_7) )
    & ! [U_8] :
        ( cUnsatisfiable(U_8)
        | sP3(U_8) )
    & ! [U_7] :
        ( sP2(U_7)
        | sP1(U_7)
        | sP0(U_7)
        | ~ cUnsatisfiable(U_7) ) ),
    inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3])],[f_3_3]) ).

cnf(f_3_5,plain,
    ( sP2(U_7)
    | sP1(U_7)
    | sP0(U_7)
    | ~ cUnsatisfiable(U_7) ),
    inference(clausify,[status(thm)],[f_3_4]) ).

cnf(f_3_6,plain,
    ( cUnsatisfiable(U_8)
    | sP3(U_8) ),
    inference(clausify,[status(thm)],[f_3_4]) ).

cnf(f_3_7,plain,
    ( cc(U_7)
    | ~ sP0(U_7) ),
    inference(clausify,[status(thm)],[f_3_4]) ).

cnf(f_3_8,plain,
    ( cb(U_7)
    | ~ sP0(U_7) ),
    inference(clausify,[status(thm)],[f_3_4]) ).

cnf(f_3_9,plain,
    ( cb(U_7)
    | ~ sP1(U_7) ),
    inference(clausify,[status(thm)],[f_3_4]) ).

cnf(f_3_10,plain,
    ( ca(U_7)
    | ~ sP1(U_7) ),
    inference(clausify,[status(thm)],[f_3_4]) ).

cnf(f_3_11,plain,
    ( cc(U_7)
    | ~ sP2(U_7) ),
    inference(clausify,[status(thm)],[f_3_4]) ).

cnf(f_3_12,plain,
    ( ca(U_7)
    | ~ sP2(U_7) ),
    inference(clausify,[status(thm)],[f_3_4]) ).

cnf(f_3_13,plain,
    ( ~ cb(U_8)
    | ~ cc(U_8)
    | ~ sP3(U_8) ),
    inference(clausify,[status(thm)],[f_3_4]) ).

cnf(f_3_14,plain,
    ( ~ ca(U_8)
    | ~ cb(U_8)
    | ~ sP3(U_8) ),
    inference(clausify,[status(thm)],[f_3_4]) ).

cnf(f_3_15,plain,
    ( ~ ca(U_8)
    | ~ cc(U_8)
    | ~ sP3(U_8) ),
    inference(clausify,[status(thm)],[f_3_4]) ).

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

fof(f_4_2,plain,
    ! [U_9] :
      ( ( ~ cb(U_9)
        & ~ cc(U_9) )
      | ~ ca(U_9) ),
    inference(variable_rename,[status(thm)],[f_4_1]) ).

fof(f_4_3,plain,
    ( ! [U_9] :
        ( ~ cb(U_9)
        | ~ sP4(U_9) )
    & ! [U_9] :
        ( ~ cc(U_9)
        | ~ sP4(U_9) )
    & ! [U_9] :
        ( sP4(U_9)
        | ~ ca(U_9) ) ),
    inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP4])],[f_4_2]) ).

cnf(f_4_4,plain,
    ( sP4(U_9)
    | ~ ca(U_9) ),
    inference(clausify,[status(thm)],[f_4_3]) ).

cnf(f_4_5,plain,
    ( ~ cc(U_9)
    | ~ sP4(U_9) ),
    inference(clausify,[status(thm)],[f_4_3]) ).

cnf(f_4_6,plain,
    ( ~ cb(U_9)
    | ~ sP4(U_9) ),
    inference(clausify,[status(thm)],[f_4_3]) ).

fof(f_5_1,plain,
    ! [X] :
      ( ~ cc(X)
      | ~ cb(X) ),
    inference(fof_nnf,[status(thm)],[axiom_4]) ).

fof(f_5_2,plain,
    ! [U_10] :
      ( ~ cc(U_10)
      | ~ cb(U_10) ),
    inference(variable_rename,[status(thm)],[f_5_1]) ).

fof(f_5_3,plain,
    ! [U_10] :
      ( ~ cc(U_10)
      | ~ cb(U_10) ),
    inference(definitional_conversion,[status(esa)],[f_5_2]) ).

cnf(f_5_4,plain,
    ( ~ cc(U_10)
    | ~ cb(U_10) ),
    inference(clausify,[status(thm)],[f_5_3]) ).

fof(f_6_1,plain,
    cUnsatisfiable(i2003_11_14_17_18_1956),
    inference(fof_nnf,[status(thm)],[axiom_5]) ).

fof(f_6_2,plain,
    cUnsatisfiable(i2003_11_14_17_18_1956),
    inference(definitional_conversion,[status(esa)],[f_6_1]) ).

cnf(f_6_3,plain,
    cUnsatisfiable(i2003_11_14_17_18_1956),
    inference(clausify,[status(thm)],[f_6_2]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS067+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03  This is a FOF_UNS_RFO_NEQ problem
% 0.00/0.04  % Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37  % Computer : n006.cluster.edu
% 0.10/5.37  % Model    : x86_64 x86_64
% 0.10/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37  % Memory   : 8046.5625MB
% 0.10/5.37  % OS       : Linux 6.8.0-71-generic
% 0.10/5.37  % CPULimit : 300
% 0.10/5.37  % WCLimit  : 300
% 0.10/5.37  % DateTime : Sat Sep 19 12:11:19 UTC 2026
% 0.10/5.38  % CPUTime  : 
% 0.14/5.41  % SZS status Unsatisfiable for theBenchmark
% 0.14/5.41  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------