TSTP Solution File: SYN032-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN032-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n021.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 11:08:33 EDT 2023

% Result   : Unsatisfiable 1.97s 1.50s
% Output   : CNFRefutation 1.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   37 (  14 unt;   6 typ;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   43 (  20   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   6 usr;   7 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ #nlpp > k > j > h > c > b > a

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(c,type,
    c: $o ).

tff(k,type,
    k: $o ).

tff(h,type,
    h: $o ).

tff(b,type,
    b: $o ).

tff(a,type,
    a: $o ).

tff(j,type,
    j: $o ).

tff(f_46,axiom,
    ( c
    | ~ h ),
    file(unknown,unknown) ).

tff(f_56,axiom,
    ( ~ a
    | ~ b ),
    file(unknown,unknown) ).

tff(f_27,axiom,
    ( h
    | a
    | ~ j ),
    file(unknown,unknown) ).

tff(f_32,axiom,
    ( h
    | k
    | j ),
    file(unknown,unknown) ).

tff(f_38,axiom,
    ( h
    | j
    | ~ k ),
    file(unknown,unknown) ).

tff(f_51,axiom,
    ( ~ h
    | ~ c ),
    file(unknown,unknown) ).

tff(f_42,axiom,
    ( b
    | ~ a ),
    file(unknown,unknown) ).

tff(c_10,plain,
    ( ~ h
    | c ),
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_16,plain,
    ~ h,
    inference(splitLeft,[status(thm)],[c_10]) ).

tff(c_14,plain,
    ( ~ b
    | ~ a ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_15,plain,
    ~ a,
    inference(splitLeft,[status(thm)],[c_14]) ).

tff(c_2,plain,
    ( ~ j
    | a
    | h ),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_19,plain,
    ~ j,
    inference(negUnitSimplification,[status(thm)],[c_16,c_15,c_2]) ).

tff(c_4,plain,
    ( j
    | k
    | h ),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_17,plain,
    ( j
    | k ),
    inference(negUnitSimplification,[status(thm)],[c_16,c_4]) ).

tff(c_18,plain,
    k,
    inference(splitLeft,[status(thm)],[c_17]) ).

tff(c_6,plain,
    ( ~ k
    | j
    | h ),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_21,plain,
    ( j
    | h ),
    inference(demodulation,[status(thm),theory(equality)],[c_18,c_6]) ).

tff(c_22,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_16,c_19,c_21]) ).

tff(c_23,plain,
    j,
    inference(splitRight,[status(thm)],[c_17]) ).

tff(c_26,plain,
    ( a
    | h ),
    inference(demodulation,[status(thm),theory(equality)],[c_23,c_2]) ).

tff(c_27,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_16,c_15,c_26]) ).

tff(c_29,plain,
    h,
    inference(splitRight,[status(thm)],[c_10]) ).

tff(c_28,plain,
    c,
    inference(splitRight,[status(thm)],[c_10]) ).

tff(c_12,plain,
    ( ~ c
    | ~ h ),
    inference(cnfTransformation,[status(thm)],[f_51]) ).

tff(c_31,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_29,c_28,c_12]) ).

tff(c_32,plain,
    ~ b,
    inference(splitRight,[status(thm)],[c_14]) ).

tff(c_33,plain,
    a,
    inference(splitRight,[status(thm)],[c_14]) ).

tff(c_8,plain,
    ( ~ a
    | b ),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_37,plain,
    b,
    inference(demodulation,[status(thm),theory(equality)],[c_33,c_8]) ).

tff(c_38,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_32,c_37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN032-1 : TPTP v8.1.2. Released v1.0.0.
% 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
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 17:08:36 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 1.97/1.50  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.97/1.50  
% 1.97/1.50  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.97/1.54  
% 1.97/1.54  Inference rules
% 1.97/1.54  ----------------------
% 1.97/1.54  #Ref     : 0
% 1.97/1.54  #Sup     : 0
% 1.97/1.54  #Fact    : 0
% 1.97/1.54  #Define  : 0
% 1.97/1.54  #Split   : 5
% 1.97/1.54  #Chain   : 0
% 1.97/1.54  #Close   : 0
% 1.97/1.54  
% 1.97/1.54  Ordering : KBO
% 1.97/1.54  
% 1.97/1.54  Simplification rules
% 1.97/1.54  ----------------------
% 1.97/1.54  #Subsume      : 3
% 1.97/1.54  #Demod        : 5
% 1.97/1.54  #Tautology    : 0
% 1.97/1.54  #SimpNegUnit  : 5
% 1.97/1.54  #BackRed      : 0
% 1.97/1.54  
% 1.97/1.54  #Partial instantiations: 0
% 1.97/1.54  #Strategies tried      : 1
% 1.97/1.54  
% 1.97/1.54  Timing (in seconds)
% 1.97/1.54  ----------------------
% 1.97/1.55  Preprocessing        : 0.34
% 1.97/1.55  Parsing              : 0.18
% 1.97/1.55  CNF conversion       : 0.01
% 1.97/1.55  Main loop            : 0.13
% 1.97/1.55  Inferencing          : 0.04
% 1.97/1.55  Reduction            : 0.03
% 1.97/1.55  Demodulation         : 0.02
% 1.97/1.55  BG Simplification    : 0.01
% 1.97/1.55  Subsumption          : 0.03
% 1.97/1.55  Abstraction          : 0.00
% 1.97/1.55  MUC search           : 0.00
% 1.97/1.55  Cooper               : 0.00
% 1.97/1.55  Total                : 0.54
% 1.97/1.55  Index Insertion      : 0.00
% 1.97/1.55  Index Deletion       : 0.00
% 1.97/1.55  Index Matching       : 0.00
% 1.97/1.55  BG Taut test         : 0.00
%------------------------------------------------------------------------------