TSTP Solution File: LAT261-2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : LAT261-2 : 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 : n027.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 10:46:33 EDT 2023

% Result   : Unsatisfiable 2.09s 1.41s
% Output   : CNFRefutation 2.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   12 (   5 unt;   7 typ;   0 def)
%            Number of atoms       :    5 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   3   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_in > tc_Tarski_Opotype_Opotype__ext__type > c_Tarski_Odual > #nlpp > v_cl > tc_Product__Type_Ounit > t_a > c_Tarski_OCompleteLattice

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

tff(f_28,axiom,
    c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file(unknown,unknown) ).

tff(f_27,axiom,
    ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file(unknown,unknown) ).

tff(c_4,plain,
    c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_2,plain,
    ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_6,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT261-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % 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
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug  3 12:48:08 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 2.09/1.41  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.09/1.41  
% 2.09/1.41  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.09/1.45  
% 2.09/1.45  Inference rules
% 2.09/1.45  ----------------------
% 2.09/1.45  #Ref     : 0
% 2.09/1.45  #Sup     : 0
% 2.09/1.45  #Fact    : 0
% 2.09/1.45  #Define  : 0
% 2.09/1.45  #Split   : 0
% 2.09/1.45  #Chain   : 0
% 2.09/1.45  #Close   : 0
% 2.09/1.45  
% 2.09/1.45  Ordering : KBO
% 2.09/1.45  
% 2.09/1.45  Simplification rules
% 2.09/1.45  ----------------------
% 2.09/1.45  #Subsume      : 1
% 2.09/1.45  #Demod        : 1
% 2.09/1.45  #Tautology    : 0
% 2.09/1.45  #SimpNegUnit  : 0
% 2.09/1.45  #BackRed      : 0
% 2.09/1.45  
% 2.09/1.45  #Partial instantiations: 0
% 2.09/1.45  #Strategies tried      : 1
% 2.09/1.45  
% 2.09/1.45  Timing (in seconds)
% 2.09/1.45  ----------------------
% 2.09/1.45  Preprocessing        : 0.35
% 2.09/1.45  Parsing              : 0.19
% 2.09/1.45  CNF conversion       : 0.01
% 2.09/1.45  Main loop            : 0.05
% 2.09/1.45  Inferencing          : 0.00
% 2.09/1.45  Reduction            : 0.02
% 2.09/1.45  Demodulation         : 0.02
% 2.09/1.45  BG Simplification    : 0.01
% 2.09/1.45  Subsumption          : 0.02
% 2.09/1.45  Abstraction          : 0.00
% 2.09/1.45  MUC search           : 0.00
% 2.09/1.45  Cooper               : 0.00
% 2.09/1.45  Total                : 0.46
% 2.09/1.45  Index Insertion      : 0.00
% 2.09/1.45  Index Deletion       : 0.00
% 2.09/1.45  Index Matching       : 0.00
% 2.09/1.45  BG Taut test         : 0.00
%------------------------------------------------------------------------------