TSTP Solution File: SWV263-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV263-2 : 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 : n020.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 11:03:24 EDT 2023

% Result   : Unsatisfiable 2.56s 1.59s
% Output   : CNFRefutation 2.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   22 (   9 unt;   8 typ;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (  11   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   4   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :   13 (;  13   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_lessequals > c_in > #nlpp > tc_set > c_Message_Oparts > v_X > v_H > v_G > tc_Message_Omsg

%Foreground sorts:

%Background operators:

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

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

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

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

tff(c_in,type,
    c_in: ( $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_27,axiom,
    c_in(v_X,v_G,tc_Message_Omsg),
    file(unknown,unknown) ).

tff(f_26,axiom,
    c_lessequals(v_G,v_H,tc_set(tc_Message_Omsg)),
    file(unknown,unknown) ).

tff(f_42,axiom,
    ! [V_c,V_A,T_a,V_B] :
      ( ~ c_in(V_c,V_A,T_a)
      | ~ c_lessequals(V_A,V_B,tc_set(T_a))
      | c_in(V_c,V_B,T_a) ),
    file(unknown,unknown) ).

tff(f_34,axiom,
    ! [V_X,V_H] :
      ( ~ c_in(V_X,V_H,tc_Message_Omsg)
      | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(f_29,axiom,
    ~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
    file(unknown,unknown) ).

tff(c_4,plain,
    c_in(v_X,v_G,tc_Message_Omsg),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_2,plain,
    c_lessequals(v_G,v_H,tc_set(tc_Message_Omsg)),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_16,plain,
    ! [V_c_9,V_B_10,T_a_11,V_A_12] :
      ( c_in(V_c_9,V_B_10,T_a_11)
      | ~ c_lessequals(V_A_12,V_B_10,tc_set(T_a_11))
      | ~ c_in(V_c_9,V_A_12,T_a_11) ),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_20,plain,
    ! [V_c_13] :
      ( c_in(V_c_13,v_H,tc_Message_Omsg)
      | ~ c_in(V_c_13,v_G,tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_2,c_16]) ).

tff(c_11,plain,
    ! [V_X_7,V_H_8] :
      ( c_in(V_X_7,c_Message_Oparts(V_H_8),tc_Message_Omsg)
      | ~ c_in(V_X_7,V_H_8,tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_6,plain,
    ~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_15,plain,
    ~ c_in(v_X,v_H,tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_11,c_6]) ).

tff(c_23,plain,
    ~ c_in(v_X,v_G,tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_20,c_15]) ).

tff(c_27,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SWV263-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15  % 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
% 0.15/0.36  % Computer : n020.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 22:56:37 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 2.56/1.59  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.56/1.60  
% 2.56/1.60  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.67/1.62  
% 2.67/1.62  Inference rules
% 2.67/1.62  ----------------------
% 2.67/1.62  #Ref     : 0
% 2.67/1.62  #Sup     : 3
% 2.67/1.62  #Fact    : 0
% 2.67/1.62  #Define  : 0
% 2.67/1.62  #Split   : 0
% 2.67/1.62  #Chain   : 0
% 2.67/1.62  #Close   : 0
% 2.67/1.62  
% 2.67/1.62  Ordering : KBO
% 2.67/1.62  
% 2.67/1.62  Simplification rules
% 2.67/1.62  ----------------------
% 2.67/1.62  #Subsume      : 0
% 2.67/1.62  #Demod        : 1
% 2.67/1.62  #Tautology    : 0
% 2.67/1.62  #SimpNegUnit  : 0
% 2.67/1.62  #BackRed      : 0
% 2.67/1.62  
% 2.67/1.62  #Partial instantiations: 0
% 2.67/1.62  #Strategies tried      : 1
% 2.67/1.62  
% 2.67/1.62  Timing (in seconds)
% 2.67/1.62  ----------------------
% 2.67/1.63  Preprocessing        : 0.39
% 2.67/1.63  Parsing              : 0.21
% 2.67/1.63  CNF conversion       : 0.02
% 2.67/1.63  Main loop            : 0.15
% 2.67/1.63  Inferencing          : 0.08
% 2.67/1.63  Reduction            : 0.03
% 2.67/1.63  Demodulation         : 0.02
% 2.67/1.63  BG Simplification    : 0.01
% 2.67/1.63  Subsumption          : 0.03
% 2.67/1.63  Abstraction          : 0.00
% 2.67/1.63  MUC search           : 0.00
% 2.67/1.63  Cooper               : 0.00
% 2.67/1.63  Total                : 0.59
% 2.67/1.63  Index Insertion      : 0.00
% 2.67/1.63  Index Deletion       : 0.00
% 2.67/1.63  Index Matching       : 0.00
% 2.67/1.63  BG Taut test         : 0.00
%------------------------------------------------------------------------------