TSTP Solution File: HWV030-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : HWV030-2 : TPTP v8.1.2. Released v2.5.0.
% 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 : n008.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 10:42:30 EDT 2023

% Result   : Unsatisfiable 6.13s 2.41s
% Output   : CNFRefutation 6.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   53
% Syntax   : Number of formulae    :   60 (   9 unt;  49 typ;   0 def)
%            Number of atoms       :   13 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   63 (  41   >;  22   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   46 (  46 usr;   8 con; 0-3 aty)
%            Number of variables   :    2 (;   2   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ p_LES_EQU_ > def_89 > p__pred_ > f__slice_ > fstd_DOTstandard_DOTmod_ > f__xor_ > f__xnor_ > f__or_ > f__nor_ > f__nand_ > f__lt_ > f__leq_ > f__index_ > f__gt_ > f__geq_ > f__equiv_ > f__equal_ > f__cons_ > f__concat_ > f__and_ > f_SUB_ > f_ADD_ > #nlpp > y_105 > length > fwork_DOTfifo_DOTrtl_DOTwr__level_ > fwork_DOTfifo_DOTrtl_DOTwr__error_ > fwork_DOTfifo_DOTrtl_DOTwr_ > fwork_DOTfifo_DOTrtl_DOTreset_ > fwork_DOTfifo_DOTrtl_DOTrd__level_ > fwork_DOTfifo_DOTrtl_DOTrd__error_ > fwork_DOTfifo_DOTrtl_DOTrd_ > fwork_DOTfifo_DOTrtl_DOTmem_ > fwork_DOTfifo_DOTrtl_DOTlevel_ > fwork_DOTfifo_DOTrtl_DOTint__level_ > fwork_DOTfifo_DOTrtl_DOTfull_ > fwork_DOTfifo_DOTrtl_DOTempty_ > fwork_DOTfifo_DOTrtl_DOTdata__out_ > fwork_DOTfifo_DOTrtl_DOTdata__in_ > f__others_ > f__not_ > f__length_ > t_206 > n1 > n0 > fwork_DOTfifo_DOTrtl_DOTfifo__width_ > fwork_DOTfifo_DOTrtl_DOTfifo__length_ > f__true_ > f__false_ > f__empty_

%Foreground sorts:

%Background operators:

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

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

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

tff(f__others_,type,
    f__others_: $i > $i ).

tff(fwork_DOTfifo_DOTrtl_DOTlevel_,type,
    fwork_DOTfifo_DOTrtl_DOTlevel_: $i > $i ).

tff(f__not_,type,
    f__not_: $i > $i ).

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

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

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

tff(fwork_DOTfifo_DOTrtl_DOTdata__in_,type,
    fwork_DOTfifo_DOTrtl_DOTdata__in_: $i > $i ).

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

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

tff(fwork_DOTfifo_DOTrtl_DOTwr__level_,type,
    fwork_DOTfifo_DOTrtl_DOTwr__level_: $i > $i ).

tff(fwork_DOTfifo_DOTrtl_DOTrd__level_,type,
    fwork_DOTfifo_DOTrtl_DOTrd__level_: $i > $i ).

tff(fwork_DOTfifo_DOTrtl_DOTwr__error_,type,
    fwork_DOTfifo_DOTrtl_DOTwr__error_: $i > $i ).

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

tff(fwork_DOTfifo_DOTrtl_DOTrd__error_,type,
    fwork_DOTfifo_DOTrtl_DOTrd__error_: $i > $i ).

tff(fwork_DOTfifo_DOTrtl_DOTdata__out_,type,
    fwork_DOTfifo_DOTrtl_DOTdata__out_: $i > $i ).

tff(fwork_DOTfifo_DOTrtl_DOTint__level_,type,
    fwork_DOTfifo_DOTrtl_DOTint__level_: $i > $i ).

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

tff(fwork_DOTfifo_DOTrtl_DOTwr_,type,
    fwork_DOTfifo_DOTrtl_DOTwr_: $i > $i ).

tff(y_105,type,
    y_105: $i > $i ).

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

tff(n1,type,
    n1: $i ).

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

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

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

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

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

tff(f__length_,type,
    f__length_: $i > $i ).

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

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

tff(n0,type,
    n0: $i ).

tff(fwork_DOTfifo_DOTrtl_DOTreset_,type,
    fwork_DOTfifo_DOTrtl_DOTreset_: $i > $i ).

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

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

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

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

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

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

tff(fwork_DOTfifo_DOTrtl_DOTempty_,type,
    fwork_DOTfifo_DOTrtl_DOTempty_: $i > $i ).

tff(fwork_DOTfifo_DOTrtl_DOTrd_,type,
    fwork_DOTfifo_DOTrtl_DOTrd_: $i > $i ).

tff(t_206,type,
    t_206: $i ).

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

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

tff(def_89,type,
    def_89: ( $i * $i ) > $o ).

tff(fwork_DOTfifo_DOTrtl_DOTmem_,type,
    fwork_DOTfifo_DOTrtl_DOTmem_: $i > $i ).

tff(fwork_DOTfifo_DOTrtl_DOTfull_,type,
    fwork_DOTfifo_DOTrtl_DOTfull_: $i > $i ).

tff(length,type,
    length: $i > $i ).

tff(f_1061,axiom,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
    file(unknown,unknown) ).

tff(f_1058,axiom,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    file(unknown,unknown) ).

tff(f_82,axiom,
    ! [T_5] :
      ( ( fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(T_5,n1)) = n0 )
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5)) ),
    file(unknown,unknown) ).

tff(f_1059,axiom,
    p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(t_206,n1))),
    file(unknown,unknown) ).

tff(c_272,plain,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
    inference(cnfTransformation,[status(thm)],[f_1061]) ).

tff(c_268,plain,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    inference(cnfTransformation,[status(thm)],[f_1058]) ).

tff(c_753,plain,
    ! [T_5_331] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5_331))
      | ( fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(T_5_331,n1)) = n0 ) ),
    inference(cnfTransformation,[status(thm)],[f_82]) ).

tff(c_757,plain,
    fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(t_206,n1)) = n0,
    inference(resolution,[status(thm)],[c_268,c_753]) ).

tff(c_270,plain,
    p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(t_206,n1))),
    inference(cnfTransformation,[status(thm)],[f_1059]) ).

tff(c_758,plain,
    p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
    inference(demodulation,[status(thm),theory(equality)],[c_757,c_270]) ).

tff(c_760,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_272,c_758]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : HWV030-2 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13  % 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
% 0.17/0.35  % Computer : n008.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Thu Aug  3 23:53:04 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 6.13/2.41  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.13/2.42  
% 6.13/2.42  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.13/2.44  
% 6.13/2.44  Inference rules
% 6.13/2.44  ----------------------
% 6.13/2.44  #Ref     : 1
% 6.13/2.44  #Sup     : 135
% 6.13/2.44  #Fact    : 0
% 6.13/2.44  #Define  : 0
% 6.13/2.44  #Split   : 2
% 6.13/2.44  #Chain   : 0
% 6.13/2.44  #Close   : 0
% 6.13/2.44  
% 6.13/2.44  Ordering : KBO
% 6.13/2.44  
% 6.13/2.44  Simplification rules
% 6.13/2.44  ----------------------
% 6.13/2.44  #Subsume      : 51
% 6.13/2.44  #Demod        : 4
% 6.13/2.44  #Tautology    : 50
% 6.13/2.44  #SimpNegUnit  : 1
% 6.13/2.44  #BackRed      : 1
% 6.13/2.44  
% 6.13/2.44  #Partial instantiations: 0
% 6.13/2.44  #Strategies tried      : 1
% 6.13/2.44  
% 6.13/2.44  Timing (in seconds)
% 6.13/2.44  ----------------------
% 6.13/2.45  Preprocessing        : 0.84
% 6.13/2.45  Parsing              : 0.44
% 6.31/2.45  CNF conversion       : 0.06
% 6.31/2.45  Main loop            : 0.54
% 6.31/2.45  Inferencing          : 0.17
% 6.31/2.45  Reduction            : 0.17
% 6.31/2.45  Demodulation         : 0.12
% 6.31/2.45  BG Simplification    : 0.06
% 6.31/2.45  Subsumption          : 0.13
% 6.31/2.45  Abstraction          : 0.02
% 6.31/2.45  MUC search           : 0.00
% 6.31/2.45  Cooper               : 0.00
% 6.31/2.45  Total                : 1.42
% 6.31/2.45  Index Insertion      : 0.00
% 6.31/2.45  Index Deletion       : 0.00
% 6.31/2.45  Index Matching       : 0.00
% 6.31/2.45  BG Taut test         : 0.00
%------------------------------------------------------------------------------