TSTP Solution File: SYO578+1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYO578+1 : TPTP v8.1.2. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n024.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 : Fri Sep  1 04:11:32 EDT 2023

% Result   : Theorem 0.20s 0.67s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   79
% Syntax   : Number of formulae    :   91 (   4 unt;  77 typ;   0 def)
%            Number of atoms       :   78 (   0 equ)
%            Maximal formula atoms :   20 (   5 avg)
%            Number of connectives :   95 (  31   ~;  26   |;  30   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   20 (  19 usr;   8 prp; 0-1 aty)
%            Number of functors    :   58 (  58 usr;  58 con; 0-0 aty)
%            Number of variables   :   30 (   0 sgn;  14   !;  12   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    k04_buttercup10620: $i > $o ).

tff(decl_23,type,
    k04_buttercup10619: $i > $o ).

tff(decl_24,type,
    k04_buttercup10622: $i > $o ).

tff(decl_25,type,
    b48_buttercup10102: $i > $o ).

tff(decl_26,type,
    b48_buttercup10098: $i > $o ).

tff(decl_27,type,
    b48_buttercup10104: $i > $o ).

tff(decl_28,type,
    b48_buttercup10107: $i > $o ).

tff(decl_29,type,
    b48_buttercup10108: $i > $o ).

tff(decl_30,type,
    b48_buttercup10109: $i > $o ).

tff(decl_31,type,
    b48_buttercup10110: $i > $o ).

tff(decl_32,type,
    b48_buttercup10111: $i > $o ).

tff(decl_33,type,
    k04_buttercup10100: $i > $o ).

tff(decl_34,type,
    epred1_0: $o ).

tff(decl_35,type,
    epred2_0: $o ).

tff(decl_36,type,
    epred3_0: $o ).

tff(decl_37,type,
    epred4_0: $o ).

tff(decl_38,type,
    epred5_0: $o ).

tff(decl_39,type,
    epred6_0: $o ).

tff(decl_40,type,
    epred7_0: $o ).

tff(decl_41,type,
    esk1_0: $i ).

tff(decl_42,type,
    esk2_0: $i ).

tff(decl_43,type,
    esk3_0: $i ).

tff(decl_44,type,
    esk4_0: $i ).

tff(decl_45,type,
    esk5_0: $i ).

tff(decl_46,type,
    esk6_0: $i ).

tff(decl_47,type,
    esk7_0: $i ).

tff(decl_48,type,
    esk8_0: $i ).

tff(decl_49,type,
    esk9_0: $i ).

tff(decl_50,type,
    esk10_0: $i ).

tff(decl_51,type,
    esk11_0: $i ).

tff(decl_52,type,
    esk12_0: $i ).

tff(decl_53,type,
    esk13_0: $i ).

tff(decl_54,type,
    esk14_0: $i ).

tff(decl_55,type,
    esk15_0: $i ).

tff(decl_56,type,
    esk16_0: $i ).

tff(decl_57,type,
    esk17_0: $i ).

tff(decl_58,type,
    esk18_0: $i ).

tff(decl_59,type,
    esk19_0: $i ).

tff(decl_60,type,
    esk20_0: $i ).

tff(decl_61,type,
    esk21_0: $i ).

tff(decl_62,type,
    esk22_0: $i ).

tff(decl_63,type,
    esk23_0: $i ).

tff(decl_64,type,
    esk24_0: $i ).

tff(decl_65,type,
    esk25_0: $i ).

tff(decl_66,type,
    esk26_0: $i ).

tff(decl_67,type,
    esk27_0: $i ).

tff(decl_68,type,
    esk28_0: $i ).

tff(decl_69,type,
    esk29_0: $i ).

tff(decl_70,type,
    esk30_0: $i ).

tff(decl_71,type,
    esk31_0: $i ).

tff(decl_72,type,
    esk32_0: $i ).

tff(decl_73,type,
    esk33_0: $i ).

tff(decl_74,type,
    esk34_0: $i ).

tff(decl_75,type,
    esk35_0: $i ).

tff(decl_76,type,
    esk36_0: $i ).

tff(decl_77,type,
    esk37_0: $i ).

tff(decl_78,type,
    esk38_0: $i ).

tff(decl_79,type,
    esk39_0: $i ).

tff(decl_80,type,
    esk40_0: $i ).

tff(decl_81,type,
    esk41_0: $i ).

tff(decl_82,type,
    esk42_0: $i ).

tff(decl_83,type,
    esk43_0: $i ).

tff(decl_84,type,
    esk44_0: $i ).

tff(decl_85,type,
    esk45_0: $i ).

tff(decl_86,type,
    esk46_0: $i ).

tff(decl_87,type,
    esk47_0: $i ).

tff(decl_88,type,
    esk48_0: $i ).

tff(decl_89,type,
    esk49_0: $i ).

tff(decl_90,type,
    esk50_0: $i ).

tff(decl_91,type,
    esk51_0: $i ).

tff(decl_92,type,
    esk52_0: $i ).

tff(decl_93,type,
    esk53_0: $i ).

tff(decl_94,type,
    esk54_0: $i ).

tff(decl_95,type,
    esk55_0: $i ).

tff(decl_96,type,
    esk56_0: $i ).

tff(decl_97,type,
    esk57_0: $i ).

tff(decl_98,type,
    esk58_0: $i ).

fof(goals_86,conjecture,
    ( ( ! [X143] :
          ( b48_buttercup10098(X143)
         => k04_buttercup10100(X143) )
      & ? [X144] :
          ( k04_buttercup10100(X144)
          & ~ b48_buttercup10098(X144) ) )
    | ( ! [X145] :
          ( k04_buttercup10100(X145)
         => b48_buttercup10098(X145) )
      & ? [X146] :
          ( b48_buttercup10098(X146)
          & ~ k04_buttercup10100(X146) ) )
    | ? [X147,X148,X149] :
        ( k04_buttercup10100(X147)
        & b48_buttercup10098(X147)
        & k04_buttercup10100(X148)
        & ~ b48_buttercup10098(X148)
        & ~ k04_buttercup10100(X149)
        & b48_buttercup10098(X149) )
    | ! [X150] :
        ( k04_buttercup10100(X150)
       => ~ b48_buttercup10098(X150) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_86) ).

fof(sos_21,axiom,
    ( ! [X62] :
        ( k04_buttercup10100(X62)
       => b48_buttercup10098(X62) )
    & ? [X63] :
        ( b48_buttercup10098(X63)
        & ~ k04_buttercup10100(X63) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).

fof(c_0_2,negated_conjecture,
    ~ ( ( ! [X143] :
            ( b48_buttercup10098(X143)
           => k04_buttercup10100(X143) )
        & ? [X144] :
            ( k04_buttercup10100(X144)
            & ~ b48_buttercup10098(X144) ) )
      | ( ! [X145] :
            ( k04_buttercup10100(X145)
           => b48_buttercup10098(X145) )
        & ? [X146] :
            ( b48_buttercup10098(X146)
            & ~ k04_buttercup10100(X146) ) )
      | ? [X147,X148,X149] :
          ( k04_buttercup10100(X147)
          & b48_buttercup10098(X147)
          & k04_buttercup10100(X148)
          & ~ b48_buttercup10098(X148)
          & ~ k04_buttercup10100(X149)
          & b48_buttercup10098(X149) )
      | ! [X150] :
          ( k04_buttercup10100(X150)
         => ~ b48_buttercup10098(X150) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals_86])]) ).

fof(c_0_3,plain,
    ( ! [X62] :
        ( k04_buttercup10100(X62)
       => b48_buttercup10098(X62) )
    & ? [X63] :
        ( b48_buttercup10098(X63)
        & ~ k04_buttercup10100(X63) ) ),
    inference(fof_simplification,[status(thm)],[sos_21]) ).

fof(c_0_4,negated_conjecture,
    ! [X245,X247,X248,X249,X250] :
      ( ( b48_buttercup10098(esk21_0)
        | ~ k04_buttercup10100(X245)
        | b48_buttercup10098(X245) )
      & ( ~ k04_buttercup10100(esk21_0)
        | ~ k04_buttercup10100(X245)
        | b48_buttercup10098(X245) )
      & ( k04_buttercup10100(esk22_0)
        | ~ b48_buttercup10098(X247)
        | k04_buttercup10100(X247) )
      & ( ~ b48_buttercup10098(esk22_0)
        | ~ b48_buttercup10098(X247)
        | k04_buttercup10100(X247) )
      & ( ~ k04_buttercup10100(X248)
        | ~ b48_buttercup10098(X248)
        | ~ k04_buttercup10100(X249)
        | b48_buttercup10098(X249)
        | k04_buttercup10100(X250)
        | ~ b48_buttercup10098(X250) )
      & k04_buttercup10100(esk23_0)
      & b48_buttercup10098(esk23_0) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).

fof(c_0_5,plain,
    ! [X177] :
      ( ( ~ k04_buttercup10100(X177)
        | b48_buttercup10098(X177) )
      & b48_buttercup10098(esk7_0)
      & ~ k04_buttercup10100(esk7_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).

cnf(c_0_6,negated_conjecture,
    ( k04_buttercup10100(esk22_0)
    | k04_buttercup10100(X1)
    | ~ b48_buttercup10098(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    b48_buttercup10098(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ~ k04_buttercup10100(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    ( k04_buttercup10100(X1)
    | ~ b48_buttercup10098(esk22_0)
    | ~ b48_buttercup10098(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,plain,
    ( b48_buttercup10098(X1)
    | ~ k04_buttercup10100(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,negated_conjecture,
    k04_buttercup10100(esk22_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    ( k04_buttercup10100(X1)
    | ~ b48_buttercup10098(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_7]),c_0_8]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYO578+1 : TPTP v8.1.2. Released v5.5.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat Aug 26 05:52:39 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.57  start to proof: theBenchmark
% 0.20/0.67  % Version  : CSE_E---1.5
% 0.20/0.67  % Problem  : theBenchmark.p
% 0.20/0.67  % Proof found
% 0.20/0.67  % SZS status Theorem for theBenchmark.p
% 0.20/0.67  % SZS output start Proof
% See solution above
% 0.20/0.68  % Total time : 0.091000 s
% 0.20/0.68  % SZS output end Proof
% 0.20/0.68  % Total time : 0.096000 s
%------------------------------------------------------------------------------