TSTP Solution File: SEU163+1 by Beagle---0.9.47

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.47
% Problem  : SEU163+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xms512M -Xmx4G -Xss10M -XX:MaxPermSize=384M -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 : n015.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  : 600s
% DateTime : Tue Jul 19 07:04:31 EDT 2022

% Result   : Theorem 1.57s 1.11s
% Output   : CNFRefutation 1.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   15 (   4 unt;   8 typ;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   1   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    5 (   0 usr;   3 ari)
%            Number of type conns  :   11 (   6   >;   5   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ subset > in > #nlpp > union > #skF_2 > #skF_1

%Foreground sorts:

%Background operators:

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

tff('#nlpp',type,
    '#nlpp': ( $real * $real ) > $real ).

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

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

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

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

tff('#nlpp_001',type,
    '#nlpp': ( $rat * $rat ) > $rat ).

tff('#nlpp_002',type,
    '#nlpp': ( $int * $int ) > $int ).

tff(f_39,negated_conjecture,
    ~ ! [A,B] :
        ( in(A,B)
       => subset(A,union(B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t92_zfmisc_1) ).

tff(f_43,axiom,
    ! [A,B] :
      ( in(A,B)
     => subset(A,union(B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l50_zfmisc_1) ).

tff(c_10,plain,
    in('#skF_1','#skF_2'),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_18,plain,
    ! [A_10,B_11] :
      ( subset(A_10,union(B_11))
      | ~ in(A_10,B_11) ),
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_8,plain,
    ~ subset('#skF_1',union('#skF_2')),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_21,plain,
    ~ in('#skF_1','#skF_2'),
    inference(resolution,[status(thm)],[c_18,c_8]) ).

tff(c_25,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU163+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : java -Xms512M -Xmx4G -Xss10M -XX:MaxPermSize=384M -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
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 19 00:53:44 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  OpenJDK 64-Bit Server VM warning: ignoring option MaxPermSize=384M; support was removed in 8.0
% 1.57/1.11  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.57/1.11  
% 1.57/1.11  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.63/1.12  
% 1.63/1.12  Inference rules
% 1.63/1.12  ----------------------
% 1.63/1.12  #Ref     : 0
% 1.63/1.12  #Sup     : 2
% 1.63/1.12  #Fact    : 0
% 1.63/1.12  #Define  : 0
% 1.63/1.12  #Split   : 0
% 1.63/1.12  #Chain   : 0
% 1.63/1.12  #Close   : 0
% 1.63/1.12  
% 1.63/1.12  Ordering : KBO
% 1.63/1.12  
% 1.63/1.12  Simplification rules
% 1.63/1.12  ----------------------
% 1.63/1.12  #Subsume      : 0
% 1.63/1.12  #Demod        : 1
% 1.63/1.12  #Tautology    : 1
% 1.63/1.12  #SimpNegUnit  : 0
% 1.63/1.12  #BackRed      : 0
% 1.63/1.12  
% 1.63/1.12  #Partial instantiations: 0
% 1.63/1.12  #Strategies tried      : 1
% 1.63/1.12  
% 1.63/1.12  Timing (in seconds)
% 1.63/1.12  ----------------------
% 1.63/1.13  Preprocessing        : 0.25
% 1.63/1.13  Parsing              : 0.15
% 1.63/1.13  CNF conversion       : 0.01
% 1.63/1.13  Main loop            : 0.06
% 1.63/1.13  Inferencing          : 0.03
% 1.63/1.13  Reduction            : 0.02
% 1.63/1.13  Demodulation         : 0.01
% 1.63/1.13  BG Simplification    : 0.01
% 1.63/1.13  Subsumption          : 0.01
% 1.63/1.13  Abstraction          : 0.00
% 1.63/1.13  MUC search           : 0.00
% 1.63/1.13  Cooper               : 0.00
% 1.63/1.13  Total                : 0.34
% 1.63/1.13  Index Insertion      : 0.00
% 1.63/1.13  Index Deletion       : 0.00
% 1.63/1.13  Index Matching       : 0.00
% 1.63/1.13  BG Taut test         : 0.00
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