TSTP Solution File: SWV277-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV277-2 : 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 : n011.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 11:03:29 EDT 2023

% Result   : Unsatisfiable 2.60s 1.61s
% Output   : CNFRefutation 2.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   24 (   8 unt;  10 typ;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  11   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (   6   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-1 aty)
%            Number of variables   :   18 (;  18   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_lessequals > c_in > #nlpp > tc_set > c_Message_Oparts > c_Message_OkeysFor > c_Message_Oanalz > v_K > v_H > tc_nat > tc_Message_Omsg

%Foreground sorts:

%Background operators:

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

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

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(c_in,type,
    c_in: ( $i * $i * $i ) > $o ).

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

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_42,axiom,
    ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
    file(unknown,unknown) ).

tff(f_27,axiom,
    ! [V_H] : c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)),
    file(unknown,unknown) ).

tff(f_43,axiom,
    c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
    file(unknown,unknown) ).

tff(f_32,axiom,
    ! [V_G,V_H] :
      ( ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg))
      | c_lessequals(c_Message_OkeysFor(V_G),c_Message_OkeysFor(V_H),tc_set(tc_nat)) ),
    file(unknown,unknown) ).

tff(f_40,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(c_8,plain,
    ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_2,plain,
    ! [V_H_1] : c_lessequals(c_Message_Oanalz(V_H_1),c_Message_Oparts(V_H_1),tc_set(tc_Message_Omsg)),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_10,plain,
    c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_4,plain,
    ! [V_G_2,V_H_3] :
      ( c_lessequals(c_Message_OkeysFor(V_G_2),c_Message_OkeysFor(V_H_3),tc_set(tc_nat))
      | ~ c_lessequals(V_G_2,V_H_3,tc_set(tc_Message_Omsg)) ),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_13,plain,
    ! [V_c_11,V_B_12,T_a_13,V_A_14] :
      ( c_in(V_c_11,V_B_12,T_a_13)
      | ~ c_lessequals(V_A_14,V_B_12,tc_set(T_a_13))
      | ~ c_in(V_c_11,V_A_14,T_a_13) ),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_21,plain,
    ! [V_c_17,V_H_18,V_G_19] :
      ( c_in(V_c_17,c_Message_OkeysFor(V_H_18),tc_nat)
      | ~ c_in(V_c_17,c_Message_OkeysFor(V_G_19),tc_nat)
      | ~ c_lessequals(V_G_19,V_H_18,tc_set(tc_Message_Omsg)) ),
    inference(resolution,[status(thm)],[c_4,c_13]) ).

tff(c_25,plain,
    ! [V_H_20] :
      ( c_in(v_K,c_Message_OkeysFor(V_H_20),tc_nat)
      | ~ c_lessequals(c_Message_Oanalz(v_H),V_H_20,tc_set(tc_Message_Omsg)) ),
    inference(resolution,[status(thm)],[c_10,c_21]) ).

tff(c_29,plain,
    c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
    inference(resolution,[status(thm)],[c_2,c_25]) ).

tff(c_33,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8,c_29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SWV277-2 : 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
% 0.15/0.37  % Computer : n011.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Thu Aug  3 22:39:51 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 2.60/1.61  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.60/1.62  
% 2.60/1.62  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.60/1.65  
% 2.60/1.65  Inference rules
% 2.60/1.65  ----------------------
% 2.60/1.65  #Ref     : 0
% 2.60/1.65  #Sup     : 4
% 2.60/1.65  #Fact    : 0
% 2.60/1.65  #Define  : 0
% 2.60/1.65  #Split   : 0
% 2.60/1.65  #Chain   : 0
% 2.60/1.65  #Close   : 0
% 2.60/1.65  
% 2.60/1.65  Ordering : KBO
% 2.60/1.65  
% 2.60/1.65  Simplification rules
% 2.60/1.65  ----------------------
% 2.60/1.65  #Subsume      : 0
% 2.60/1.65  #Demod        : 0
% 2.60/1.65  #Tautology    : 0
% 2.60/1.65  #SimpNegUnit  : 1
% 2.60/1.65  #BackRed      : 0
% 2.60/1.65  
% 2.60/1.65  #Partial instantiations: 0
% 2.60/1.65  #Strategies tried      : 1
% 2.60/1.65  
% 2.60/1.65  Timing (in seconds)
% 2.60/1.65  ----------------------
% 2.60/1.65  Preprocessing        : 0.39
% 2.60/1.65  Parsing              : 0.22
% 2.60/1.65  CNF conversion       : 0.02
% 2.60/1.65  Main loop            : 0.17
% 2.60/1.65  Inferencing          : 0.08
% 2.60/1.65  Reduction            : 0.04
% 2.60/1.65  Demodulation         : 0.03
% 2.60/1.65  BG Simplification    : 0.01
% 2.60/1.65  Subsumption          : 0.03
% 2.60/1.65  Abstraction          : 0.01
% 2.60/1.65  MUC search           : 0.00
% 2.60/1.65  Cooper               : 0.00
% 2.60/1.65  Total                : 0.61
% 2.60/1.65  Index Insertion      : 0.00
% 2.60/1.65  Index Deletion       : 0.00
% 2.60/1.65  Index Matching       : 0.00
% 2.60/1.65  BG Taut test         : 0.00
%------------------------------------------------------------------------------