TSTP Solution File: LCL644+1.005 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : LCL644+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n023.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 : Tue Aug 22 10:48:29 EDT 2023

% Result   : Theorem 254.63s 243.20s
% Output   : CNFRefutation 254.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   46
% Syntax   : Number of formulae    :   49 (   3 unt;  45 typ;   0 def)
%            Number of atoms       :  228 (   0 equ)
%            Maximal formula atoms :  225 (  57 avg)
%            Number of connectives :  359 ( 135   ~; 152   |;  72   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   9 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (  17   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   38 (  38 usr;  28 con; 0-1 aty)
%            Number of variables   :   80 (;  79   !;   1   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ r1 > p6 > p5 > p4 > p3 > p2 > p1 > #nlpp > #skF_9 > #skF_16 > #skF_20 > #skF_2 > #skF_18 > #skF_24 > #skF_11 > #skF_31 > #skF_15 > #skF_25 > #skF_38 > #skF_36 > #skF_19 > #skF_7 > #skF_37 > #skF_26 > #skF_32 > #skF_14 > #skF_5 > #skF_10 > #skF_6 > #skF_13 > #skF_1 > #skF_21 > #skF_23 > #skF_33 > #skF_8 > #skF_30 > #skF_4 > #skF_17 > #skF_3 > #skF_22 > #skF_29 > #skF_28 > #skF_35 > #skF_27 > #skF_12 > #skF_34

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_9',type,
    '#skF_9': $i > $i ).

tff(p3,type,
    p3: $i > $o ).

tff('#skF_16',type,
    '#skF_16': $i > $i ).

tff('#skF_20',type,
    '#skF_20': $i ).

tff('#skF_2',type,
    '#skF_2': $i > $i ).

tff('#skF_18',type,
    '#skF_18': $i ).

tff('#skF_24',type,
    '#skF_24': $i > $i ).

tff('#skF_11',type,
    '#skF_11': $i ).

tff('#skF_31',type,
    '#skF_31': $i ).

tff('#skF_15',type,
    '#skF_15': $i ).

tff('#skF_25',type,
    '#skF_25': $i ).

tff('#skF_38',type,
    '#skF_38': $i ).

tff('#skF_36',type,
    '#skF_36': $i ).

tff('#skF_19',type,
    '#skF_19': $i ).

tff('#skF_7',type,
    '#skF_7': $i ).

tff('#skF_37',type,
    '#skF_37': $i ).

tff('#skF_26',type,
    '#skF_26': $i ).

tff('#skF_32',type,
    '#skF_32': $i > $i ).

tff('#skF_14',type,
    '#skF_14': $i ).

tff('#skF_5',type,
    '#skF_5': $i ).

tff('#skF_10',type,
    '#skF_10': $i > $i ).

tff(p5,type,
    p5: $i > $o ).

tff(p4,type,
    p4: $i > $o ).

tff(p6,type,
    p6: $i > $o ).

tff('#skF_6',type,
    '#skF_6': $i ).

tff('#skF_13',type,
    '#skF_13': $i ).

tff(r1,type,
    r1: ( $i * $i ) > $o ).

tff('#skF_1',type,
    '#skF_1': $i ).

tff('#skF_21',type,
    '#skF_21': $i ).

tff(p2,type,
    p2: $i > $o ).

tff('#skF_23',type,
    '#skF_23': $i > $i ).

tff('#skF_33',type,
    '#skF_33': $i > $i ).

tff('#skF_8',type,
    '#skF_8': $i ).

tff('#skF_30',type,
    '#skF_30': $i ).

tff('#skF_4',type,
    '#skF_4': $i ).

tff('#skF_17',type,
    '#skF_17': $i > $i ).

tff('#skF_3',type,
    '#skF_3': $i > $i ).

tff('#skF_22',type,
    '#skF_22': $i ).

tff('#skF_29',type,
    '#skF_29': $i ).

tff('#skF_28',type,
    '#skF_28': $i ).

tff('#skF_35',type,
    '#skF_35': $i ).

tff('#skF_27',type,
    '#skF_27': $i ).

tff(p1,type,
    p1: $i > $o ).

tff('#skF_12',type,
    '#skF_12': $i ).

tff('#skF_34',type,
    '#skF_34': $i ).

tff(f_689,negated_conjecture,
    ~ ~ ? [X] :
          ~ ( ~ ( ! [Y] :
                    ( ~ r1(X,Y)
                    | ~ ( p6(Y)
                        & ! [X] :
                            ( ~ r1(Y,X)
                            | p6(X) ) )
                    | p5(Y) )
                | ! [Y] :
                    ( ~ r1(X,Y)
                    | p6(Y)
                    | ~ ( p5(Y)
                        & ! [X] :
                            ( ~ r1(Y,X)
                            | p5(X) )
                        & p5(Y) ) )
                | ~ ( ! [Y] :
                        ( ~ r1(X,Y)
                        | ! [X] :
                            ( ~ r1(Y,X)
                            | ~ ( p6(X)
                                & ! [Y] :
                                    ( ~ r1(X,Y)
                                    | p6(Y) ) )
                            | p5(X) )
                        | p6(Y)
                        | ~ ( p5(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p5(X) )
                            & p5(Y) ) )
                    & ! [Y] :
                        ( ~ r1(X,Y)
                        | ~ ( p6(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p6(X) ) )
                        | p5(Y)
                        | ! [X] :
                            ( ~ r1(Y,X)
                            | p6(X)
                            | ~ ( p5(X)
                                & ! [Y] :
                                    ( ~ r1(X,Y)
                                    | p5(Y) )
                                & p5(X) ) ) )
                    & ! [Y] :
                        ( ~ r1(X,Y)
                        | ~ ( p6(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p6(X) ) )
                        | p5(Y)
                        | p6(Y)
                        | ~ ( p5(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p5(X) )
                            & p5(Y) ) ) ) )
            | ~ ( ! [Y] :
                    ( ~ r1(X,Y)
                    | ~ ( p5(Y)
                        & ! [X] :
                            ( ~ r1(Y,X)
                            | p5(X) ) )
                    | p4(Y) )
                | ! [Y] :
                    ( ~ r1(X,Y)
                    | p5(Y)
                    | ~ ( p4(Y)
                        & ! [X] :
                            ( ~ r1(Y,X)
                            | p4(X) )
                        & p4(Y) ) )
                | ~ ( ! [Y] :
                        ( ~ r1(X,Y)
                        | ! [X] :
                            ( ~ r1(Y,X)
                            | ~ ( p5(X)
                                & ! [Y] :
                                    ( ~ r1(X,Y)
                                    | p5(Y) ) )
                            | p4(X) )
                        | p5(Y)
                        | ~ ( p4(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p4(X) )
                            & p4(Y) ) )
                    & ! [Y] :
                        ( ~ r1(X,Y)
                        | ~ ( p5(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p5(X) ) )
                        | p4(Y)
                        | ! [X] :
                            ( ~ r1(Y,X)
                            | p5(X)
                            | ~ ( p4(X)
                                & ! [Y] :
                                    ( ~ r1(X,Y)
                                    | p4(Y) )
                                & p4(X) ) ) )
                    & ! [Y] :
                        ( ~ r1(X,Y)
                        | ~ ( p5(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p5(X) ) )
                        | p4(Y)
                        | p5(Y)
                        | ~ ( p4(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p4(X) )
                            & p4(Y) ) ) ) )
            | ~ ( ! [Y] :
                    ( ~ r1(X,Y)
                    | ~ ( p4(Y)
                        & ! [X] :
                            ( ~ r1(Y,X)
                            | p4(X) ) )
                    | p3(Y) )
                | ! [Y] :
                    ( ~ r1(X,Y)
                    | p4(Y)
                    | ~ ( p3(Y)
                        & ! [X] :
                            ( ~ r1(Y,X)
                            | p3(X) )
                        & p3(Y) ) )
                | ~ ( ! [Y] :
                        ( ~ r1(X,Y)
                        | ! [X] :
                            ( ~ r1(Y,X)
                            | ~ ( p4(X)
                                & ! [Y] :
                                    ( ~ r1(X,Y)
                                    | p4(Y) ) )
                            | p3(X) )
                        | p4(Y)
                        | ~ ( p3(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p3(X) )
                            & p3(Y) ) )
                    & ! [Y] :
                        ( ~ r1(X,Y)
                        | ~ ( p4(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p4(X) ) )
                        | p3(Y)
                        | ! [X] :
                            ( ~ r1(Y,X)
                            | p4(X)
                            | ~ ( p3(X)
                                & ! [Y] :
                                    ( ~ r1(X,Y)
                                    | p3(Y) )
                                & p3(X) ) ) )
                    & ! [Y] :
                        ( ~ r1(X,Y)
                        | ~ ( p4(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p4(X) ) )
                        | p3(Y)
                        | p4(Y)
                        | ~ ( p3(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p3(X) )
                            & p3(Y) ) ) ) )
            | ~ ( ! [Y] :
                    ( ~ r1(X,Y)
                    | ~ ( p3(Y)
                        & ! [X] :
                            ( ~ r1(Y,X)
                            | p3(X) ) )
                    | p2(Y) )
                | ! [Y] :
                    ( ~ r1(X,Y)
                    | p3(Y)
                    | ~ ( p2(Y)
                        & ! [X] :
                            ( ~ r1(Y,X)
                            | p2(X) )
                        & p2(Y) ) )
                | ~ ( ! [Y] :
                        ( ~ r1(X,Y)
                        | ! [X] :
                            ( ~ r1(Y,X)
                            | ~ ( p3(X)
                                & ! [Y] :
                                    ( ~ r1(X,Y)
                                    | p3(Y) ) )
                            | p2(X) )
                        | p3(Y)
                        | ~ ( p2(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p2(X) )
                            & p2(Y) ) )
                    & ! [Y] :
                        ( ~ r1(X,Y)
                        | ~ ( p3(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p3(X) ) )
                        | p2(Y)
                        | ! [X] :
                            ( ~ r1(Y,X)
                            | p3(X)
                            | ~ ( p2(X)
                                & ! [Y] :
                                    ( ~ r1(X,Y)
                                    | p2(Y) )
                                & p2(X) ) ) )
                    & ! [Y] :
                        ( ~ r1(X,Y)
                        | ~ ( p3(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p3(X) ) )
                        | p2(Y)
                        | p3(Y)
                        | ~ ( p2(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p2(X) )
                            & p2(Y) ) ) ) )
            | ! [Y] :
                ( ~ r1(X,Y)
                | p5(Y)
                | ~ ( ! [X] :
                        ( ~ r1(Y,X)
                        | p5(X) )
                    & p5(Y) ) )
            | ! [Y] :
                ( ~ r1(X,Y)
                | p5(Y)
                | ~ ( ! [X] :
                        ( ~ r1(Y,X)
                        | p5(X) )
                    & p5(Y) ) )
            | ~ ( ! [Y] :
                    ( ~ r1(X,Y)
                    | ~ ( p2(Y)
                        & ! [X] :
                            ( ~ r1(Y,X)
                            | p2(X) ) )
                    | p1(Y) )
                | ! [Y] :
                    ( ~ r1(X,Y)
                    | p2(Y)
                    | ~ ( p1(Y)
                        & ! [X] :
                            ( ~ r1(Y,X)
                            | p1(X) )
                        & p1(Y) ) )
                | ~ ( ! [Y] :
                        ( ~ r1(X,Y)
                        | ! [X] :
                            ( ~ r1(Y,X)
                            | ~ ( p2(X)
                                & ! [Y] :
                                    ( ~ r1(X,Y)
                                    | p2(Y) ) )
                            | p1(X) )
                        | p2(Y)
                        | ~ ( p1(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p1(X) )
                            & p1(Y) ) )
                    & ! [Y] :
                        ( ~ r1(X,Y)
                        | ~ ( p2(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p2(X) ) )
                        | p1(Y)
                        | ! [X] :
                            ( ~ r1(Y,X)
                            | p2(X)
                            | ~ ( p1(X)
                                & ! [Y] :
                                    ( ~ r1(X,Y)
                                    | p1(Y) )
                                & p1(X) ) ) )
                    & ! [Y] :
                        ( ~ r1(X,Y)
                        | ~ ( p2(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p2(X) ) )
                        | p1(Y)
                        | p2(Y)
                        | ~ ( p1(Y)
                            & ! [X] :
                                ( ~ r1(Y,X)
                                | p1(X) )
                            & p1(Y) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

tff(c_14,plain,
    ~ p5('#skF_30'),
    inference(cnfTransformation,[status(thm)],[f_689]) ).

tff(c_10,plain,
    p5('#skF_30'),
    inference(cnfTransformation,[status(thm)],[f_689]) ).

tff(c_25937,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14,c_10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : LCL644+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 14:09:52 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 254.63/243.20  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 254.63/243.21  
% 254.63/243.21  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 254.63/243.25  
% 254.63/243.25  Inference rules
% 254.63/243.25  ----------------------
% 254.63/243.25  #Ref     : 0
% 254.63/243.25  #Sup     : 0
% 254.63/243.25  #Fact    : 0
% 254.63/243.25  #Define  : 0
% 254.63/243.25  #Split   : 0
% 254.63/243.25  #Chain   : 0
% 254.63/243.25  #Close   : 0
% 254.63/243.25  
% 254.63/243.25  Ordering : KBO
% 254.63/243.25  
% 254.63/243.25  Simplification rules
% 254.63/243.25  ----------------------
% 254.63/243.25  #Subsume      : 12967
% 254.63/243.25  #Demod        : 0
% 254.63/243.25  #Tautology    : 0
% 254.63/243.25  #SimpNegUnit  : 1
% 254.63/243.25  #BackRed      : 0
% 254.63/243.25  
% 254.63/243.25  #Partial instantiations: 0
% 254.63/243.25  #Strategies tried      : 1
% 254.63/243.25  
% 254.63/243.25  Timing (in seconds)
% 254.63/243.25  ----------------------
% 254.63/243.25  Preprocessing        : 2.23
% 254.63/243.25  Parsing              : 0.38
% 254.63/243.25  CNF conversion       : 0.29
% 254.63/243.25  Main loop            : 239.85
% 254.63/243.25  Inferencing          : 0.00
% 254.63/243.25  Reduction            : 183.70
% 254.63/243.25  Demodulation         : 153.08
% 254.63/243.25  BG Simplification    : 0.81
% 254.63/243.25  Subsumption          : 43.94
% 254.63/243.25  Abstraction          : 1.56
% 254.63/243.25  MUC search           : 0.00
% 254.63/243.26  Cooper               : 0.00
% 254.63/243.26  Total                : 242.14
% 254.63/243.26  Index Insertion      : 0.00
% 254.63/243.26  Index Deletion       : 0.00
% 254.63/243.26  Index Matching       : 0.00
% 254.63/243.26  BG Taut test         : 0.00
%------------------------------------------------------------------------------