TSTP Solution File: SWV280-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV280-2 : 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 : n028.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 11:03:30 EDT 2023

% Result   : Unsatisfiable 2.07s 1.55s
% Output   : CNFRefutation 2.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   17 (   6 unt;   9 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    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (   6   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   11 (;  11   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_lessequals > c_in > c_plus > #nlpp > v_sko__urX > c_Message_Omsg_ONonce > c_Event_Oused > v_evs > tc_nat > tc_Message_Omsg

%Foreground sorts:

%Background operators:

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

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

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

tff(c_plus,type,
    c_plus: ( $i * $i * $i ) > $i ).

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

tff(f_29,axiom,
    ! [V_n,V_m] : c_lessequals(V_n,c_plus(V_n,V_m,tc_nat),tc_nat),
    file(unknown,unknown) ).

tff(f_27,axiom,
    ! [V_U] : c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_evs),tc_Message_Omsg),
    file(unknown,unknown) ).

tff(f_35,axiom,
    ! [V_U,V_evs] :
      ( ~ c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(V_evs),tc_Message_Omsg)
      | ~ c_lessequals(v_sko__urX(V_evs),V_U,tc_nat) ),
    file(unknown,unknown) ).

tff(c_4,plain,
    ! [V_n_2,V_m_3] : c_lessequals(V_n_2,c_plus(V_n_2,V_m_3,tc_nat),tc_nat),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_2,plain,
    ! [V_U_1] : c_in(c_Message_Omsg_ONonce(V_U_1),c_Event_Oused(v_evs),tc_Message_Omsg),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_9,plain,
    ! [V_evs_9,V_U_10] :
      ( ~ c_lessequals(v_sko__urX(V_evs_9),V_U_10,tc_nat)
      | ~ c_in(c_Message_Omsg_ONonce(V_U_10),c_Event_Oused(V_evs_9),tc_Message_Omsg) ),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_14,plain,
    ! [V_U_11] : ~ c_lessequals(v_sko__urX(v_evs),V_U_11,tc_nat),
    inference(resolution,[status(thm)],[c_2,c_9]) ).

tff(c_19,plain,
    $false,
    inference(resolution,[status(thm)],[c_4,c_14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.16  % Problem  : SWV280-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.17  % 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
% 0.14/0.38  % Computer : n028.cluster.edu
% 0.14/0.38  % Model    : x86_64 x86_64
% 0.14/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38  % Memory   : 8042.1875MB
% 0.14/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38  % CPULimit : 300
% 0.14/0.38  % WCLimit  : 300
% 0.14/0.38  % DateTime : Thu Aug  3 23:17:54 EDT 2023
% 0.14/0.38  % CPUTime  : 
% 2.07/1.55  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.07/1.56  
% 2.07/1.56  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.07/1.59  
% 2.07/1.59  Inference rules
% 2.07/1.59  ----------------------
% 2.07/1.59  #Ref     : 0
% 2.07/1.59  #Sup     : 2
% 2.07/1.59  #Fact    : 0
% 2.07/1.59  #Define  : 0
% 2.07/1.59  #Split   : 0
% 2.07/1.59  #Chain   : 0
% 2.07/1.59  #Close   : 0
% 2.07/1.59  
% 2.07/1.59  Ordering : KBO
% 2.07/1.59  
% 2.07/1.59  Simplification rules
% 2.07/1.59  ----------------------
% 2.07/1.59  #Subsume      : 0
% 2.07/1.59  #Demod        : 0
% 2.07/1.59  #Tautology    : 0
% 2.07/1.59  #SimpNegUnit  : 0
% 2.07/1.59  #BackRed      : 0
% 2.07/1.59  
% 2.07/1.59  #Partial instantiations: 0
% 2.07/1.59  #Strategies tried      : 1
% 2.07/1.59  
% 2.07/1.59  Timing (in seconds)
% 2.07/1.59  ----------------------
% 2.07/1.60  Preprocessing        : 0.37
% 2.07/1.60  Parsing              : 0.21
% 2.07/1.60  CNF conversion       : 0.02
% 2.07/1.60  Main loop            : 0.12
% 2.07/1.60  Inferencing          : 0.06
% 2.07/1.60  Reduction            : 0.02
% 2.07/1.60  Demodulation         : 0.02
% 2.07/1.60  BG Simplification    : 0.01
% 2.07/1.60  Subsumption          : 0.02
% 2.07/1.60  Abstraction          : 0.00
% 2.07/1.60  MUC search           : 0.00
% 2.07/1.60  Cooper               : 0.00
% 2.07/1.60  Total                : 0.54
% 2.07/1.60  Index Insertion      : 0.00
% 2.07/1.60  Index Deletion       : 0.00
% 2.07/1.60  Index Matching       : 0.00
% 2.07/1.60  BG Taut test         : 0.00
%------------------------------------------------------------------------------