TSTP Solution File: SWV257-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV257-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : n012.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 11:03:23 EDT 2023

% Result   : Unsatisfiable 2.20s 1.53s
% Output   : CNFRefutation 2.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   14 (   6 unt;   6 typ;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   4   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :    6 (;   6   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_lessequals > #nlpp > tc_set > c_Message_Oparts > c_Message_Oanalz > v_H > tc_Message_Omsg

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

tff(f_29,axiom,
    ! [V_H] : c_lessequals(V_H,c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg)),
    file(unknown,unknown) ).

tff(f_34,axiom,
    ! [V_G,V_H] :
      ( ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg))
      | c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ),
    file(unknown,unknown) ).

tff(f_27,axiom,
    ~ c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_Message_Oanalz(v_H)),tc_set(tc_Message_Omsg)),
    file(unknown,unknown) ).

tff(c_4,plain,
    ! [V_H_1] : c_lessequals(V_H_1,c_Message_Oanalz(V_H_1),tc_set(tc_Message_Omsg)),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_8,plain,
    ! [V_G_5,V_H_6] :
      ( c_lessequals(c_Message_Oparts(V_G_5),c_Message_Oparts(V_H_6),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(V_G_5,V_H_6,tc_set(tc_Message_Omsg)) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_2,plain,
    ~ c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_Message_Oanalz(v_H)),tc_set(tc_Message_Omsg)),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_11,plain,
    ~ c_lessequals(v_H,c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg)),
    inference(resolution,[status(thm)],[c_8,c_2]) ).

tff(c_15,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWV257-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % 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
% 0.13/0.34  % Computer : n012.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
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 22:41:07 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 2.20/1.53  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.20/1.54  
% 2.20/1.54  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.47/1.57  
% 2.47/1.57  Inference rules
% 2.47/1.57  ----------------------
% 2.47/1.57  #Ref     : 0
% 2.47/1.57  #Sup     : 1
% 2.47/1.57  #Fact    : 0
% 2.47/1.57  #Define  : 0
% 2.47/1.57  #Split   : 0
% 2.47/1.57  #Chain   : 0
% 2.47/1.57  #Close   : 0
% 2.47/1.57  
% 2.47/1.57  Ordering : KBO
% 2.47/1.57  
% 2.47/1.57  Simplification rules
% 2.47/1.57  ----------------------
% 2.47/1.57  #Subsume      : 0
% 2.47/1.57  #Demod        : 1
% 2.47/1.57  #Tautology    : 0
% 2.47/1.57  #SimpNegUnit  : 0
% 2.47/1.57  #BackRed      : 0
% 2.47/1.57  
% 2.47/1.57  #Partial instantiations: 0
% 2.47/1.57  #Strategies tried      : 1
% 2.47/1.57  
% 2.47/1.57  Timing (in seconds)
% 2.47/1.57  ----------------------
% 2.47/1.58  Preprocessing        : 0.37
% 2.47/1.58  Parsing              : 0.21
% 2.47/1.58  CNF conversion       : 0.02
% 2.47/1.58  Main loop            : 0.12
% 2.47/1.58  Inferencing          : 0.05
% 2.47/1.58  Reduction            : 0.03
% 2.47/1.58  Demodulation         : 0.02
% 2.47/1.58  BG Simplification    : 0.01
% 2.47/1.58  Subsumption          : 0.02
% 2.47/1.58  Abstraction          : 0.00
% 2.47/1.58  MUC search           : 0.00
% 2.47/1.58  Cooper               : 0.00
% 2.47/1.58  Total                : 0.55
% 2.47/1.58  Index Insertion      : 0.00
% 2.47/1.58  Index Deletion       : 0.00
% 2.47/1.58  Index Matching       : 0.00
% 2.47/1.58  BG Taut test         : 0.00
%------------------------------------------------------------------------------