TSTP Solution File: LCL646+1.001 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : LCL646+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 : n019.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 10:48:30 EDT 2023

% Result   : Theorem 2.70s 1.67s
% Output   : CNFRefutation 2.96s
% 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 > p6 > p5 > p4 > p3 > p2 > p1 > #nlpp > #skF_5 > #skF_2 > #skF_3 > #skF_1 > #skF_4

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

tff(f_81,negated_conjecture,
    ~ ~ ? [X] :
          ~ ( ~ ! [Y] :
                  ( ~ r1(X,Y)
                  | p6(Y) )
            | ~ ! [Y] :
                  ( ~ r1(X,Y)
                  | p2(Y) )
            | ~ ! [Y] :
                  ( ~ r1(X,Y)
                  | p4(Y) )
            | ~ ! [Y] :
                  ( ~ r1(X,Y)
                  | p2(Y) )
            | ! [Y] :
                ( ~ r1(X,Y)
                | p5(Y) )
            | ! [Y] :
                ( ~ r1(X,Y)
                | p3(Y) )
            | ! [Y] :
                ( ~ r1(X,Y)
                | p2(Y) )
            | ! [Y] :
                ( ~ r1(X,Y)
                | p1(Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

tff(c_6,plain,
    ~ p2('#skF_4'),
    inference(cnfTransformation,[status(thm)],[f_81]) ).

tff(c_8,plain,
    r1('#skF_1','#skF_4'),
    inference(cnfTransformation,[status(thm)],[f_81]) ).

tff(c_59,plain,
    ! [Y_15] :
      ( p2(Y_15)
      | ~ r1('#skF_1',Y_15) ),
    inference(cnfTransformation,[status(thm)],[f_81]) ).

tff(c_68,plain,
    p2('#skF_4'),
    inference(resolution,[status(thm)],[c_8,c_59]) ).

tff(c_77,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_6,c_68]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL646+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % 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
% 0.15/0.36  % Computer : n019.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 13:55:01 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 2.70/1.67  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.70/1.68  
% 2.70/1.68  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.96/1.70  
% 2.96/1.70  Inference rules
% 2.96/1.70  ----------------------
% 2.96/1.70  #Ref     : 0
% 2.96/1.70  #Sup     : 12
% 2.96/1.70  #Fact    : 0
% 2.96/1.70  #Define  : 0
% 2.96/1.70  #Split   : 0
% 2.96/1.70  #Chain   : 0
% 2.96/1.70  #Close   : 0
% 2.96/1.70  
% 2.96/1.70  Ordering : KBO
% 2.96/1.70  
% 2.96/1.70  Simplification rules
% 2.96/1.70  ----------------------
% 2.96/1.70  #Subsume      : 1
% 2.96/1.70  #Demod        : 0
% 2.96/1.70  #Tautology    : 0
% 2.96/1.70  #SimpNegUnit  : 1
% 2.96/1.70  #BackRed      : 0
% 2.96/1.70  
% 2.96/1.70  #Partial instantiations: 0
% 2.96/1.70  #Strategies tried      : 1
% 2.96/1.70  
% 2.96/1.70  Timing (in seconds)
% 2.96/1.70  ----------------------
% 2.96/1.71  Preprocessing        : 0.43
% 2.96/1.71  Parsing              : 0.24
% 2.96/1.71  CNF conversion       : 0.03
% 2.96/1.71  Main loop            : 0.19
% 2.96/1.71  Inferencing          : 0.08
% 2.96/1.71  Reduction            : 0.05
% 2.96/1.71  Demodulation         : 0.03
% 2.96/1.71  BG Simplification    : 0.01
% 2.96/1.71  Subsumption          : 0.04
% 2.96/1.71  Abstraction          : 0.01
% 2.96/1.71  MUC search           : 0.00
% 2.96/1.71  Cooper               : 0.00
% 2.96/1.71  Total                : 0.66
% 2.96/1.71  Index Insertion      : 0.00
% 2.96/1.71  Index Deletion       : 0.00
% 2.96/1.71  Index Matching       : 0.00
% 2.96/1.71  BG Taut test         : 0.00
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