TSTP Solution File: SYN071+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN071+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n014.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 11:09:30 EDT 2023

% Result   : Theorem 1.98s 1.53s
% Output   : CNFRefutation 1.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   19 (   8 unt;   4 typ;   0 def)
%            Number of atoms       :   22 (  20 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   5   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    0 (;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ #nlpp > d > c > b > a

%Foreground sorts:

%Background operators:

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

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

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

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

tff(f_35,axiom,
    ( ( a = c )
    | ( b = d ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel48_2) ).

tff(f_39,negated_conjecture,
    ~ ( ( a = d )
      | ( b = c ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel48) ).

tff(f_32,axiom,
    ( ( a = b )
    | ( c = d ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel48_1) ).

tff(c_4,plain,
    ( ( d = b )
    | ( c = a ) ),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_9,plain,
    c = a,
    inference(splitLeft,[status(thm)],[c_4]) ).

tff(c_6,plain,
    c != b,
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_10,plain,
    b != a,
    inference(demodulation,[status(thm),theory(equality)],[c_9,c_6]) ).

tff(c_8,plain,
    d != a,
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_2,plain,
    ( ( d = c )
    | ( b = a ) ),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_15,plain,
    ( ( d = a )
    | ( b = a ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_9,c_2]) ).

tff(c_16,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_10,c_8,c_15]) ).

tff(c_17,plain,
    d = b,
    inference(splitRight,[status(thm)],[c_4]) ).

tff(c_19,plain,
    b != a,
    inference(demodulation,[status(thm),theory(equality)],[c_17,c_8]) ).

tff(c_24,plain,
    ( ( c = b )
    | ( b = a ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_17,c_2]) ).

tff(c_25,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_19,c_6,c_24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN071+1 : TPTP v8.1.2. Released v2.0.0.
% 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
% 0.13/0.35  % Computer : n014.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 17:07:33 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 1.98/1.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.98/1.53  
% 1.98/1.53  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.98/1.56  
% 1.98/1.56  Inference rules
% 1.98/1.56  ----------------------
% 1.98/1.56  #Ref     : 0
% 1.98/1.56  #Sup     : 4
% 1.98/1.56  #Fact    : 0
% 1.98/1.56  #Define  : 0
% 1.98/1.56  #Split   : 1
% 1.98/1.56  #Chain   : 0
% 1.98/1.56  #Close   : 0
% 1.98/1.56  
% 1.98/1.56  Ordering : KBO
% 1.98/1.56  
% 1.98/1.56  Simplification rules
% 1.98/1.56  ----------------------
% 1.98/1.56  #Subsume      : 0
% 1.98/1.56  #Demod        : 4
% 1.98/1.56  #Tautology    : 4
% 1.98/1.56  #SimpNegUnit  : 2
% 1.98/1.56  #BackRed      : 2
% 1.98/1.56  
% 1.98/1.56  #Partial instantiations: 0
% 1.98/1.56  #Strategies tried      : 1
% 1.98/1.56  
% 1.98/1.56  Timing (in seconds)
% 1.98/1.56  ----------------------
% 1.98/1.56  Preprocessing        : 0.38
% 1.98/1.56  Parsing              : 0.21
% 1.98/1.56  CNF conversion       : 0.01
% 1.98/1.56  Main loop            : 0.12
% 2.35/1.56  Inferencing          : 0.04
% 2.35/1.56  Reduction            : 0.03
% 2.35/1.56  Demodulation         : 0.02
% 2.35/1.56  BG Simplification    : 0.01
% 2.35/1.56  Subsumption          : 0.03
% 2.35/1.56  Abstraction          : 0.00
% 2.35/1.56  MUC search           : 0.00
% 2.35/1.56  Cooper               : 0.00
% 2.35/1.56  Total                : 0.55
% 2.35/1.56  Index Insertion      : 0.00
% 2.35/1.56  Index Deletion       : 0.00
% 2.35/1.56  Index Matching       : 0.00
% 2.35/1.56  BG Taut test         : 0.00
%------------------------------------------------------------------------------