TSTP Solution File: SWV392+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV392+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/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 11:03:59 EDT 2023

% Result   : Theorem 2.74s 1.60s
% Output   : CNFRefutation 2.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   20 (   4 unt;  15 typ;   0 def)
%            Number of atoms       :    8 (   1 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :    6 (   3   ~;   1   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  10   >;  10   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :    7 (;   7   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ pair_in_list > strictly_less_than > less_than > contains_slb > isnonempty_slb > update_slb > remove_slb > pair > lookup_slb > insert_slb > #nlpp > create_slb > bottom > #skF_2 > #skF_3 > #skF_1

%Foreground sorts:

%Background operators:

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

tff(lookup_slb,type,
    lookup_slb: ( $i * $i ) > $i ).

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

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

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

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

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

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

tff(pair,type,
    pair: ( $i * $i ) > $i ).

tff(bottom,type,
    bottom: $i ).

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

tff(remove_slb,type,
    remove_slb: ( $i * $i ) > $i ).

tff(create_slb,type,
    create_slb: $i ).

tff(insert_slb,type,
    insert_slb: ( $i * $i ) > $i ).

tff(update_slb,type,
    update_slb: ( $i * $i ) > $i ).

tff(f_113,axiom,
    ! [U,V] : ~ pair_in_list(create_slb,U,V),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax22) ).

tff(f_165,negated_conjecture,
    ~ ! [U,V] :
        ( pair_in_list(create_slb,U,V)
       => ! [W] :
            ( contains_slb(create_slb,W)
           => ( pair_in_list(remove_slb(create_slb,W),U,V)
              | ( U = W ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l28_co) ).

tff(c_28,plain,
    ! [U_18,V_19] : ~ pair_in_list(create_slb,U_18,V_19),
    inference(cnfTransformation,[status(thm)],[f_113]) ).

tff(c_58,plain,
    pair_in_list(create_slb,'#skF_1','#skF_2'),
    inference(cnfTransformation,[status(thm)],[f_165]) ).

tff(c_59,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_28,c_58]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SWV392+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.11  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.11/0.32  % Computer : n019.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu Aug  3 23:14:01 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 2.74/1.60  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.74/1.60  
% 2.74/1.60  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.88/1.62  
% 2.88/1.62  Inference rules
% 2.88/1.62  ----------------------
% 2.88/1.62  #Ref     : 0
% 2.88/1.62  #Sup     : 0
% 2.88/1.62  #Fact    : 0
% 2.88/1.62  #Define  : 0
% 2.88/1.62  #Split   : 0
% 2.88/1.62  #Chain   : 0
% 2.88/1.62  #Close   : 0
% 2.88/1.62  
% 2.88/1.62  Ordering : KBO
% 2.88/1.62  
% 2.88/1.62  Simplification rules
% 2.88/1.62  ----------------------
% 2.88/1.62  #Subsume      : 28
% 2.88/1.62  #Demod        : 0
% 2.88/1.62  #Tautology    : 0
% 2.88/1.62  #SimpNegUnit  : 1
% 2.88/1.62  #BackRed      : 0
% 2.88/1.62  
% 2.88/1.62  #Partial instantiations: 0
% 2.88/1.62  #Strategies tried      : 1
% 2.88/1.62  
% 2.88/1.62  Timing (in seconds)
% 2.88/1.62  ----------------------
% 2.88/1.62  Preprocessing        : 0.54
% 2.88/1.62  Parsing              : 0.27
% 2.88/1.62  CNF conversion       : 0.03
% 2.88/1.62  Main loop            : 0.08
% 2.88/1.63  Inferencing          : 0.00
% 2.88/1.63  Reduction            : 0.04
% 2.88/1.63  Demodulation         : 0.03
% 2.88/1.63  BG Simplification    : 0.02
% 2.88/1.63  Subsumption          : 0.03
% 2.88/1.63  Abstraction          : 0.01
% 2.88/1.63  MUC search           : 0.00
% 2.88/1.63  Cooper               : 0.00
% 2.88/1.63  Total                : 0.65
% 2.88/1.63  Index Insertion      : 0.00
% 2.88/1.63  Index Deletion       : 0.00
% 2.88/1.63  Index Matching       : 0.00
% 2.88/1.63  BG Taut test         : 0.00
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