TSTP Solution File: LCL664+1.001 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : LCL664+1.001 : 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 : n029.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 10:48:41 EDT 2023

% Result   : Theorem 2.74s 1.58s
% Output   : CNFRefutation 2.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   18 (   4 unt;  12 typ;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :   33 (  17   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   7   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   10 (;   9   !;   1   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ r1 > p16 > p15 > p14 > p13 > p12 > p11 > #nlpp > #skF_5 > #skF_2 > #skF_3 > #skF_1 > #skF_4

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(p12,type,
    p12: $i > $o ).

tff(p15,type,
    p15: $i > $o ).

tff(p11,type,
    p11: $i > $o ).

tff(p14,type,
    p14: $i > $o ).

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

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

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

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

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

tff(p13,type,
    p13: $i > $o ).

tff(p16,type,
    p16: $i > $o ).

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

tff(f_83,negated_conjecture,
    ~ ~ ? [X] :
          ~ ( ~ ! [Y] :
                  ( ~ r1(X,Y)
                  | p16(Y) )
            | ~ ! [Y] :
                  ( ~ r1(X,Y)
                  | p12(Y) )
            | ~ ! [Y] :
                  ( ~ r1(X,Y)
                  | p14(Y) )
            | ~ ! [Y] :
                  ( ~ r1(X,Y)
                  | p12(Y) )
            | ! [Y] :
                ( ~ r1(X,Y)
                | p15(Y) )
            | ! [Y] :
                ( ~ r1(X,Y)
                | p13(Y) )
            | ! [Y] :
                ( ~ r1(X,Y)
                | p12(Y) )
            | ! [Y] :
                ( ~ r1(X,Y)
                | p11(Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

tff(c_8,plain,
    ~ p12('#skF_4'),
    inference(cnfTransformation,[status(thm)],[f_83]) ).

tff(c_10,plain,
    r1('#skF_1','#skF_4'),
    inference(cnfTransformation,[status(thm)],[f_83]) ).

tff(c_28,plain,
    ! [Y_15] :
      ( p12(Y_15)
      | ~ r1('#skF_1',Y_15) ),
    inference(cnfTransformation,[status(thm)],[f_83]) ).

tff(c_41,plain,
    p12('#skF_4'),
    inference(resolution,[status(thm)],[c_10,c_28]) ).

tff(c_51,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8,c_41]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL664+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % 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
% 0.16/0.34  % Computer : n029.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Thu Aug  3 14:24:22 EDT 2023
% 0.16/0.34  % CPUTime  : 
% 2.74/1.58  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.74/1.58  
% 2.74/1.58  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.93/1.60  
% 2.93/1.60  Inference rules
% 2.93/1.60  ----------------------
% 2.93/1.60  #Ref     : 0
% 2.93/1.60  #Sup     : 5
% 2.93/1.60  #Fact    : 0
% 2.93/1.60  #Define  : 0
% 2.93/1.60  #Split   : 0
% 2.93/1.60  #Chain   : 0
% 2.93/1.60  #Close   : 0
% 2.93/1.60  
% 2.93/1.60  Ordering : KBO
% 2.93/1.60  
% 2.93/1.60  Simplification rules
% 2.93/1.60  ----------------------
% 2.93/1.60  #Subsume      : 1
% 2.93/1.60  #Demod        : 0
% 2.93/1.60  #Tautology    : 0
% 2.93/1.60  #SimpNegUnit  : 1
% 2.93/1.60  #BackRed      : 0
% 2.93/1.60  
% 2.93/1.60  #Partial instantiations: 0
% 2.93/1.60  #Strategies tried      : 1
% 2.93/1.60  
% 2.93/1.60  Timing (in seconds)
% 2.93/1.60  ----------------------
% 2.97/1.61  Preprocessing        : 0.40
% 2.97/1.61  Parsing              : 0.22
% 2.97/1.61  CNF conversion       : 0.03
% 2.97/1.61  Main loop            : 0.17
% 2.97/1.61  Inferencing          : 0.07
% 2.97/1.61  Reduction            : 0.04
% 2.97/1.61  Demodulation         : 0.03
% 2.97/1.61  BG Simplification    : 0.01
% 2.97/1.61  Subsumption          : 0.04
% 2.97/1.61  Abstraction          : 0.01
% 2.97/1.61  MUC search           : 0.00
% 2.97/1.61  Cooper               : 0.00
% 2.97/1.61  Total                : 0.61
% 2.97/1.61  Index Insertion      : 0.00
% 2.97/1.61  Index Deletion       : 0.00
% 2.97/1.61  Index Matching       : 0.00
% 2.97/1.61  BG Taut test         : 0.00
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