TSTP Solution File: SWV244-2 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV244-2 : 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 : n005.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 11:03:19 EDT 2023

% Result   : Unsatisfiable 2.63s 1.63s
% Output   : CNFRefutation 2.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   26 (   9 unt;   8 typ;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  14   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   4   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :   28 (;  28   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_in > c_union > #nlpp > c_Message_Osynth > c_Message_Oanalz > 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(c_Message_Oanalz,type,
    c_Message_Oanalz: $i > $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_union,type,
    c_union: ( $i * $i * $i ) > $i ).

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

tff(f_38,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_33,axiom,
    ! [V_X,V_H] :
      ( ~ c_in(V_X,V_H,tc_Message_Omsg)
      | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
    file(unknown,unknown) ).

tff(f_43,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_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    file(unknown,unknown) ).

tff(f_26,axiom,
    c_in(v_X,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),
    file(unknown,unknown) ).

tff(f_50,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(c_8,plain,
    ! [V_c_3,V_A_6,V_B_4,T_a_5] :
      ( c_in(V_c_3,c_union(V_A_6,V_B_4,T_a_5),T_a_5)
      | ~ c_in(V_c_3,V_B_4,T_a_5) ),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_6,plain,
    ! [V_X_1,V_H_2] :
      ( c_in(V_X_1,c_Message_Oanalz(V_H_2),tc_Message_Omsg)
      | ~ c_in(V_X_1,V_H_2,tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_10,plain,
    ! [V_c_7,V_A_8,V_B_10,T_a_9] :
      ( c_in(V_c_7,c_union(V_A_8,V_B_10,T_a_9),T_a_9)
      | ~ c_in(V_c_7,V_A_8,T_a_9) ),
    inference(cnfTransformation,[status(thm)],[f_43]) ).

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

tff(c_23,plain,
    ~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_10,c_4]) ).

tff(c_40,plain,
    ~ c_in(v_X,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_6,c_23]) ).

tff(c_47,plain,
    ~ c_in(v_X,v_H,tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_8,c_40]) ).

tff(c_22,plain,
    ~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
    inference(resolution,[status(thm)],[c_8,c_4]) ).

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

tff(c_24,plain,
    ! [V_c_25,V_A_26,T_a_27,V_B_28] :
      ( c_in(V_c_25,V_A_26,T_a_27)
      | c_in(V_c_25,V_B_28,T_a_27)
      | ~ c_in(V_c_25,c_union(V_A_26,V_B_28,T_a_27),T_a_27) ),
    inference(cnfTransformation,[status(thm)],[f_50]) ).

tff(c_36,plain,
    ( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
    | c_in(v_X,v_H,tc_Message_Omsg) ),
    inference(resolution,[status(thm)],[c_2,c_24]) ).

tff(c_49,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_47,c_22,c_36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SWV244-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.14/0.36  % Computer : n005.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 23:00:56 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 2.63/1.63  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.67/1.63  
% 2.67/1.63  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.67/1.67  
% 2.67/1.67  Inference rules
% 2.67/1.67  ----------------------
% 2.67/1.67  #Ref     : 0
% 2.67/1.67  #Sup     : 8
% 2.67/1.67  #Fact    : 0
% 2.67/1.67  #Define  : 0
% 2.67/1.67  #Split   : 0
% 2.67/1.67  #Chain   : 0
% 2.67/1.67  #Close   : 0
% 2.67/1.67  
% 2.67/1.67  Ordering : KBO
% 2.67/1.67  
% 2.67/1.67  Simplification rules
% 2.67/1.67  ----------------------
% 2.67/1.67  #Subsume      : 0
% 2.67/1.67  #Demod        : 0
% 2.67/1.67  #Tautology    : 2
% 2.67/1.67  #SimpNegUnit  : 1
% 2.67/1.67  #BackRed      : 0
% 2.67/1.67  
% 2.67/1.67  #Partial instantiations: 0
% 2.67/1.67  #Strategies tried      : 1
% 2.67/1.67  
% 2.67/1.67  Timing (in seconds)
% 2.67/1.67  ----------------------
% 2.67/1.67  Preprocessing        : 0.42
% 2.67/1.67  Parsing              : 0.23
% 2.67/1.67  CNF conversion       : 0.02
% 2.67/1.67  Main loop            : 0.17
% 2.67/1.67  Inferencing          : 0.08
% 2.67/1.67  Reduction            : 0.04
% 2.67/1.67  Demodulation         : 0.03
% 2.67/1.67  BG Simplification    : 0.01
% 2.67/1.67  Subsumption          : 0.04
% 2.67/1.67  Abstraction          : 0.01
% 2.67/1.67  MUC search           : 0.00
% 2.67/1.67  Cooper               : 0.00
% 2.67/1.67  Total                : 0.64
% 2.67/1.67  Index Insertion      : 0.00
% 2.67/1.67  Index Deletion       : 0.00
% 2.67/1.67  Index Matching       : 0.00
% 2.67/1.67  BG Taut test         : 0.00
%------------------------------------------------------------------------------