TSTP Solution File: SWV271-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV271-2 : 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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/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 11:03:27 EDT 2023

% Result   : Unsatisfiable 2.83s 1.75s
% Output   : CNFRefutation 3.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   38 (  13 unt;   9 typ;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   38 (  18   ~;  20   |;   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 (   5   >;   5   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   46 (;  46   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_in > c_union > c_Message_Omsg_OMPair > #nlpp > c_Message_Osynth > c_Message_Oparts > v_Y > v_X > v_H > tc_Message_Omsg

%Foreground sorts:

%Background operators:

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

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

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

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(c_union,type,
    c_union: ( $i * $i * $i ) > $i ).

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

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

tff(f_57,axiom,
    ! [V_c,V_A,T_a,V_B] :
      ( ~ c_in(V_c,V_A,T_a)
      | c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
    file(unknown,unknown) ).

tff(f_28,axiom,
    ~ c_in(v_Y,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
    file(unknown,unknown) ).

tff(f_62,axiom,
    ! [V_c,V_B,T_a,V_A] :
      ( ~ c_in(V_c,V_B,T_a)
      | c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
    file(unknown,unknown) ).

tff(f_26,axiom,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
    file(unknown,unknown) ).

tff(f_52,axiom,
    ! [V_c,V_A,V_B,T_a] :
      ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)
      | c_in(V_c,V_B,T_a)
      | c_in(V_c,V_A,T_a) ),
    file(unknown,unknown) ).

tff(f_40,axiom,
    ! [V_X,V_Y,V_H] :
      ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)
      | c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(f_45,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_33,axiom,
    ! [V_X,V_Y,V_H] :
      ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
      | c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(c_23,plain,
    ! [V_c_27,V_A_28,V_B_29,T_a_30] :
      ( c_in(V_c_27,c_union(V_A_28,V_B_29,T_a_30),T_a_30)
      | ~ c_in(V_c_27,V_A_28,T_a_30) ),
    inference(cnfTransformation,[status(thm)],[f_57]) ).

tff(c_4,plain,
    ~ c_in(v_Y,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_27,plain,
    ~ c_in(v_Y,c_Message_Oparts(v_H),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_23,c_4]) ).

tff(c_18,plain,
    ! [V_c_23,V_A_24,V_B_25,T_a_26] :
      ( c_in(V_c_23,c_union(V_A_24,V_B_25,T_a_26),T_a_26)
      | ~ c_in(V_c_23,V_B_25,T_a_26) ),
    inference(cnfTransformation,[status(thm)],[f_62]) ).

tff(c_22,plain,
    ~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_18,c_4]) ).

tff(c_2,plain,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_38,plain,
    ! [V_c_34,V_A_35,T_a_36,V_B_37] :
      ( c_in(V_c_34,V_A_35,T_a_36)
      | c_in(V_c_34,V_B_37,T_a_36)
      | ~ c_in(V_c_34,c_union(V_A_35,V_B_37,T_a_36),T_a_36) ),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_49,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_2,c_38]) ).

tff(c_104,plain,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg),
    inference(splitLeft,[status(thm)],[c_49]) ).

tff(c_8,plain,
    ! [V_X_4,V_Y_5,V_H_6] :
      ( c_in(c_Message_Omsg_OMPair(V_X_4,V_Y_5),V_H_6,tc_Message_Omsg)
      | c_in(V_Y_5,c_Message_Osynth(V_H_6),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(V_X_4,V_Y_5),c_Message_Osynth(V_H_6),tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_107,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg)
    | c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_104,c_8]) ).

tff(c_117,plain,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg),
    inference(negUnitSimplification,[status(thm)],[c_22,c_107]) ).

tff(c_10,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_45]) ).

tff(c_32,plain,
    ! [V_Y_31,V_H_32,V_X_33] :
      ( c_in(V_Y_31,c_Message_Oparts(V_H_32),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(V_X_33,V_Y_31),c_Message_Oparts(V_H_32),tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_37,plain,
    ! [V_Y_31,V_H_8,V_X_33] :
      ( c_in(V_Y_31,c_Message_Oparts(V_H_8),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(V_X_33,V_Y_31),V_H_8,tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_10,c_32]) ).

tff(c_148,plain,
    c_in(v_Y,c_Message_Oparts(v_H),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_117,c_37]) ).

tff(c_155,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_27,c_148]) ).

tff(c_156,plain,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg),
    inference(splitRight,[status(thm)],[c_49]) ).

tff(c_6,plain,
    ! [V_Y_2,V_H_3,V_X_1] :
      ( c_in(V_Y_2,c_Message_Oparts(V_H_3),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(V_X_1,V_Y_2),c_Message_Oparts(V_H_3),tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_167,plain,
    c_in(v_Y,c_Message_Oparts(v_H),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_156,c_6]) ).

tff(c_174,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_27,c_167]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SWV271-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.16/0.36  % Computer : n020.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Thu Aug  3 23:05:22 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 2.83/1.75  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.04/1.75  
% 3.04/1.75  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.10/1.79  
% 3.10/1.79  Inference rules
% 3.10/1.79  ----------------------
% 3.10/1.79  #Ref     : 0
% 3.10/1.79  #Sup     : 36
% 3.10/1.79  #Fact    : 0
% 3.10/1.79  #Define  : 0
% 3.10/1.79  #Split   : 1
% 3.10/1.79  #Chain   : 0
% 3.10/1.79  #Close   : 0
% 3.10/1.79  
% 3.10/1.79  Ordering : KBO
% 3.10/1.79  
% 3.10/1.79  Simplification rules
% 3.10/1.79  ----------------------
% 3.10/1.79  #Subsume      : 0
% 3.10/1.79  #Demod        : 0
% 3.10/1.79  #Tautology    : 2
% 3.10/1.79  #SimpNegUnit  : 3
% 3.10/1.79  #BackRed      : 0
% 3.10/1.79  
% 3.10/1.79  #Partial instantiations: 0
% 3.10/1.79  #Strategies tried      : 1
% 3.10/1.79  
% 3.10/1.79  Timing (in seconds)
% 3.10/1.79  ----------------------
% 3.10/1.79  Preprocessing        : 0.43
% 3.10/1.79  Parsing              : 0.24
% 3.10/1.79  CNF conversion       : 0.02
% 3.10/1.79  Main loop            : 0.29
% 3.10/1.79  Inferencing          : 0.12
% 3.10/1.79  Reduction            : 0.07
% 3.10/1.79  Demodulation         : 0.05
% 3.10/1.79  BG Simplification    : 0.01
% 3.10/1.79  Subsumption          : 0.06
% 3.10/1.79  Abstraction          : 0.01
% 3.10/1.79  MUC search           : 0.00
% 3.10/1.79  Cooper               : 0.00
% 3.10/1.79  Total                : 0.78
% 3.10/1.79  Index Insertion      : 0.00
% 3.10/1.79  Index Deletion       : 0.00
% 3.10/1.79  Index Matching       : 0.00
% 3.10/1.79  BG Taut test         : 0.00
%------------------------------------------------------------------------------