TSTP Solution File: LCL432-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : LCL432-2 : 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 : n013.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 10:48:05 EDT 2023

% Result   : Unsatisfiable 2.19s 1.58s
% Output   : CNFRefutation 2.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   15 (   6 unt;   7 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 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   4   >;   5   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    4 (;   4   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_in > c_PropLog_Osat > c_PropLog_Othms > #nlpp > tc_PropLog_Opl > v_x > t_a > c_emptyset

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

tff(f_26,axiom,
    c_PropLog_Osat(c_emptyset,v_x,t_a),
    file(unknown,unknown) ).

tff(f_33,axiom,
    ! [V_p,T_a] :
      ( ~ c_PropLog_Osat(c_emptyset,V_p,T_a)
      | c_in(V_p,c_PropLog_Othms(c_emptyset,T_a),tc_PropLog_Opl(T_a)) ),
    file(unknown,unknown) ).

tff(f_28,axiom,
    ~ c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
    file(unknown,unknown) ).

tff(c_2,plain,
    c_PropLog_Osat(c_emptyset,v_x,t_a),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_7,plain,
    ! [V_p_3,T_a_4] :
      ( c_in(V_p_3,c_PropLog_Othms(c_emptyset,T_a_4),tc_PropLog_Opl(T_a_4))
      | ~ c_PropLog_Osat(c_emptyset,V_p_3,T_a_4) ),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_4,plain,
    ~ c_in(v_x,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_10,plain,
    ~ c_PropLog_Osat(c_emptyset,v_x,t_a),
    inference(resolution,[status(thm)],[c_7,c_4]) ).

tff(c_14,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : LCL432-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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 : n013.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 13:25:33 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 2.19/1.58  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.50/1.58  
% 2.50/1.58  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.50/1.62  
% 2.50/1.62  Inference rules
% 2.50/1.62  ----------------------
% 2.50/1.62  #Ref     : 0
% 2.50/1.62  #Sup     : 1
% 2.50/1.62  #Fact    : 0
% 2.50/1.62  #Define  : 0
% 2.50/1.62  #Split   : 0
% 2.50/1.62  #Chain   : 0
% 2.50/1.62  #Close   : 0
% 2.50/1.62  
% 2.50/1.62  Ordering : KBO
% 2.50/1.62  
% 2.50/1.62  Simplification rules
% 2.50/1.62  ----------------------
% 2.50/1.62  #Subsume      : 0
% 2.50/1.62  #Demod        : 1
% 2.50/1.62  #Tautology    : 0
% 2.50/1.62  #SimpNegUnit  : 0
% 2.50/1.62  #BackRed      : 0
% 2.50/1.62  
% 2.50/1.62  #Partial instantiations: 0
% 2.50/1.62  #Strategies tried      : 1
% 2.50/1.62  
% 2.50/1.62  Timing (in seconds)
% 2.50/1.62  ----------------------
% 2.50/1.62  Preprocessing        : 0.38
% 2.50/1.62  Parsing              : 0.21
% 2.50/1.62  CNF conversion       : 0.02
% 2.50/1.62  Main loop            : 0.11
% 2.50/1.62  Inferencing          : 0.05
% 2.50/1.62  Reduction            : 0.02
% 2.50/1.62  Demodulation         : 0.02
% 2.50/1.62  BG Simplification    : 0.01
% 2.50/1.62  Subsumption          : 0.02
% 2.50/1.62  Abstraction          : 0.00
% 2.50/1.62  MUC search           : 0.00
% 2.50/1.62  Cooper               : 0.00
% 2.50/1.62  Total                : 0.55
% 2.50/1.62  Index Insertion      : 0.00
% 2.50/1.62  Index Deletion       : 0.00
% 2.50/1.62  Index Matching       : 0.00
% 2.50/1.62  BG Taut test         : 0.00
%------------------------------------------------------------------------------