%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : KRS068+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 05:40:07 EDT 2023

% Result   : Unsatisfiable 0.19s 0.59s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   29 (   4 unt;  10 typ;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   37 (  16   ~;  13   |;   1   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (   9   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   20 (   1 sgn;  12   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    cowlThing: $i > $o ).

tff(decl_23,type,
    cowlNothing: $i > $o ).

tff(decl_24,type,
    xsd_string: $i > $o ).

tff(decl_25,type,
    xsd_integer: $i > $o ).

tff(decl_26,type,
    cUnsatisfiable: $i > $o ).

tff(decl_27,type,
    cc: $i > $o ).

tff(decl_28,type,
    cd: $i > $o ).

tff(decl_29,type,
    rr: ( $i * $i ) > $o ).

tff(decl_30,type,
    i2003_11_14_17_18_23845: $i ).

tff(decl_31,type,
    esk1_1: $i > $i ).

fof(axiom_3,axiom,
    ! [X1] :
      ( cUnsatisfiable(X1)
     => ~ cd(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(axiom_4,axiom,
    ! [X1] :
      ( cc(X1)
     => ! [X2] :
          ( rr(X1,X2)
         => cc(X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(axiom_6,axiom,
    ! [X1] :
      ( ! [X2] :
          ( rr(X1,X2)
         => cc(X2) )
     => cd(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(axiom_2,axiom,
    ! [X1] :
      ( cUnsatisfiable(X1)
     => cc(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(axiom_5,axiom,
    cUnsatisfiable(i2003_11_14_17_18_23845),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(c_0_5,plain,
    ! [X1] :
      ( cUnsatisfiable(X1)
     => ~ cd(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_3]) ).

fof(c_0_6,plain,
    ! [X7,X8] :
      ( ~ cc(X7)
      | ~ rr(X7,X8)
      | cc(X8) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])]) ).

fof(c_0_7,plain,
    ! [X9] :
      ( ( rr(X9,esk1_1(X9))
        | cd(X9) )
      & ( ~ cc(esk1_1(X9))
        | cd(X9) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])])])]) ).

fof(c_0_8,plain,
    ! [X6] :
      ( ~ cUnsatisfiable(X6)
      | ~ cd(X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).

cnf(c_0_9,plain,
    ( cc(X2)
    | ~ cc(X1)
    | ~ rr(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( rr(X1,esk1_1(X1))
    | cd(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( cd(X1)
    | ~ cc(esk1_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_12,plain,
    ! [X5] :
      ( ~ cUnsatisfiable(X5)
      | cc(X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])]) ).

cnf(c_0_13,plain,
    ( ~ cUnsatisfiable(X1)
    | ~ cd(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,plain,
    ( cd(X1)
    | ~ cc(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).

cnf(c_0_15,plain,
    ( cc(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    cUnsatisfiable(i2003_11_14_17_18_23845),
    inference(split_conjunct,[status(thm)],[axiom_5]) ).

cnf(c_0_17,plain,
    ~ cUnsatisfiable(X1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).

cnf(c_0_18,plain,
    $false,
    inference(sr,[status(thm)],[c_0_16,c_0_17]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : KRS068+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.15/0.34  % Computer : n018.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Mon Aug 28 01:58:02 EDT 2023
% 0.15/0.34  % CPUTime  : 
% 0.19/0.58  start to proof: theBenchmark
% 0.19/0.59  % Version  : CSE_E---1.5
% 0.19/0.59  % Problem  : theBenchmark.p
% 0.19/0.59  % Proof found
% 0.19/0.59  % SZS status Theorem for theBenchmark.p
% 0.19/0.59  % SZS output start Proof
% See solution above
% 0.19/0.59  % Total time : 0.006000 s
% 0.19/0.59  % SZS output end Proof
% 0.19/0.59  % Total time : 0.008000 s
%------------------------------------------------------------------------------