TSTP Solution File: MSC015-1.005 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : MSC015-1.005 : TPTP v8.1.2. Released v3.5.0.
% 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 : n005.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 10:49:50 EDT 2023

% Result   : Unsatisfiable 3.21s 1.80s
% Output   : CNFRefutation 3.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   55 (  38 unt;   3 typ;   0 def)
%            Number of atoms       :   66 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   61 (  47   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   1   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-5 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   32 (;  32   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ p > #nlpp > s1 > s0

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(s0,type,
    s0: $i ).

tff(s1,type,
    s1: $i ).

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

tff(f_29,axiom,
    p(s0,s0,s0,s0,s0),
    file(unknown,unknown) ).

tff(f_34,axiom,
    ! [X0,X1,X2,X3] :
      ( ~ p(X0,X1,X2,X3,s0)
      | p(X0,X1,X2,X3,s1) ),
    file(unknown,unknown) ).

tff(f_39,axiom,
    ! [X0,X1,X2] :
      ( ~ p(X0,X1,X2,s0,s1)
      | p(X0,X1,X2,s1,s0) ),
    file(unknown,unknown) ).

tff(f_44,axiom,
    ! [X0,X1] :
      ( ~ p(X0,X1,s0,s1,s1)
      | p(X0,X1,s1,s0,s0) ),
    file(unknown,unknown) ).

tff(f_49,axiom,
    ! [X0] :
      ( ~ p(X0,s0,s1,s1,s1)
      | p(X0,s1,s0,s0,s0) ),
    file(unknown,unknown) ).

tff(f_53,axiom,
    ( ~ p(s0,s1,s1,s1,s1)
    | p(s1,s0,s0,s0,s0) ),
    file(unknown,unknown) ).

tff(f_55,axiom,
    ~ p(s1,s1,s1,s1,s1),
    file(unknown,unknown) ).

tff(c_2,plain,
    p(s0,s0,s0,s0,s0),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_4,plain,
    ! [X0_1,X1_2,X2_3,X3_4] :
      ( p(X0_1,X1_2,X2_3,X3_4,s1)
      | ~ p(X0_1,X1_2,X2_3,X3_4,s0) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_6,plain,
    ! [X0_5,X1_6,X2_7] :
      ( p(X0_5,X1_6,X2_7,s1,s0)
      | ~ p(X0_5,X1_6,X2_7,s0,s1) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_8,plain,
    ! [X0_8,X1_9] :
      ( p(X0_8,X1_9,s1,s0,s0)
      | ~ p(X0_8,X1_9,s0,s1,s1) ),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_10,plain,
    ! [X0_10] :
      ( p(X0_10,s1,s0,s0,s0)
      | ~ p(X0_10,s0,s1,s1,s1) ),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_26,plain,
    ! [X0_16,X1_17,X2_18] :
      ( p(X0_16,X1_17,X2_18,s1,s0)
      | ~ p(X0_16,X1_17,X2_18,s0,s1) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_12,plain,
    ( p(s1,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1) ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_20,plain,
    ~ p(s0,s1,s1,s1,s1),
    inference(splitLeft,[status(thm)],[c_12]) ).

tff(c_24,plain,
    ~ p(s0,s1,s1,s1,s0),
    inference(resolution,[status(thm)],[c_4,c_20]) ).

tff(c_33,plain,
    ~ p(s0,s1,s1,s0,s1),
    inference(resolution,[status(thm)],[c_26,c_24]) ).

tff(c_43,plain,
    ~ p(s0,s1,s1,s0,s0),
    inference(resolution,[status(thm)],[c_4,c_33]) ).

tff(c_51,plain,
    ~ p(s0,s1,s0,s1,s1),
    inference(resolution,[status(thm)],[c_8,c_43]) ).

tff(c_59,plain,
    ~ p(s0,s1,s0,s1,s0),
    inference(resolution,[status(thm)],[c_4,c_51]) ).

tff(c_67,plain,
    ~ p(s0,s1,s0,s0,s1),
    inference(resolution,[status(thm)],[c_6,c_59]) ).

tff(c_75,plain,
    ~ p(s0,s1,s0,s0,s0),
    inference(resolution,[status(thm)],[c_4,c_67]) ).

tff(c_83,plain,
    ~ p(s0,s0,s1,s1,s1),
    inference(resolution,[status(thm)],[c_10,c_75]) ).

tff(c_91,plain,
    ~ p(s0,s0,s1,s1,s0),
    inference(resolution,[status(thm)],[c_4,c_83]) ).

tff(c_99,plain,
    ~ p(s0,s0,s1,s0,s1),
    inference(resolution,[status(thm)],[c_6,c_91]) ).

tff(c_107,plain,
    ~ p(s0,s0,s1,s0,s0),
    inference(resolution,[status(thm)],[c_4,c_99]) ).

tff(c_115,plain,
    ~ p(s0,s0,s0,s1,s1),
    inference(resolution,[status(thm)],[c_8,c_107]) ).

tff(c_123,plain,
    ~ p(s0,s0,s0,s1,s0),
    inference(resolution,[status(thm)],[c_4,c_115]) ).

tff(c_131,plain,
    ~ p(s0,s0,s0,s0,s1),
    inference(resolution,[status(thm)],[c_6,c_123]) ).

tff(c_138,plain,
    ~ p(s0,s0,s0,s0,s0),
    inference(resolution,[status(thm)],[c_4,c_131]) ).

tff(c_142,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_138]) ).

tff(c_143,plain,
    p(s1,s0,s0,s0,s0),
    inference(splitRight,[status(thm)],[c_12]) ).

tff(c_155,plain,
    ! [X0_25,X1_26] :
      ( p(X0_25,X1_26,s1,s0,s0)
      | ~ p(X0_25,X1_26,s0,s1,s1) ),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_145,plain,
    ! [X0_21,X1_22,X2_23] :
      ( p(X0_21,X1_22,X2_23,s1,s0)
      | ~ p(X0_21,X1_22,X2_23,s0,s1) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_15,plain,
    ! [X0_11,X1_12,X2_13,X3_14] :
      ( p(X0_11,X1_12,X2_13,X3_14,s1)
      | ~ p(X0_11,X1_12,X2_13,X3_14,s0) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_14,plain,
    ~ p(s1,s1,s1,s1,s1),
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_19,plain,
    ~ p(s1,s1,s1,s1,s0),
    inference(resolution,[status(thm)],[c_15,c_14]) ).

tff(c_149,plain,
    ~ p(s1,s1,s1,s0,s1),
    inference(resolution,[status(thm)],[c_145,c_19]) ).

tff(c_154,plain,
    ~ p(s1,s1,s1,s0,s0),
    inference(resolution,[status(thm)],[c_4,c_149]) ).

tff(c_159,plain,
    ~ p(s1,s1,s0,s1,s1),
    inference(resolution,[status(thm)],[c_155,c_154]) ).

tff(c_163,plain,
    ~ p(s1,s1,s0,s1,s0),
    inference(resolution,[status(thm)],[c_4,c_159]) ).

tff(c_167,plain,
    ~ p(s1,s1,s0,s0,s1),
    inference(resolution,[status(thm)],[c_6,c_163]) ).

tff(c_171,plain,
    ~ p(s1,s1,s0,s0,s0),
    inference(resolution,[status(thm)],[c_4,c_167]) ).

tff(c_175,plain,
    ~ p(s1,s0,s1,s1,s1),
    inference(resolution,[status(thm)],[c_10,c_171]) ).

tff(c_179,plain,
    ~ p(s1,s0,s1,s1,s0),
    inference(resolution,[status(thm)],[c_4,c_175]) ).

tff(c_183,plain,
    ~ p(s1,s0,s1,s0,s1),
    inference(resolution,[status(thm)],[c_6,c_179]) ).

tff(c_187,plain,
    ~ p(s1,s0,s1,s0,s0),
    inference(resolution,[status(thm)],[c_4,c_183]) ).

tff(c_191,plain,
    ~ p(s1,s0,s0,s1,s1),
    inference(resolution,[status(thm)],[c_8,c_187]) ).

tff(c_195,plain,
    ~ p(s1,s0,s0,s1,s0),
    inference(resolution,[status(thm)],[c_4,c_191]) ).

tff(c_199,plain,
    ~ p(s1,s0,s0,s0,s1),
    inference(resolution,[status(thm)],[c_6,c_195]) ).

tff(c_202,plain,
    ~ p(s1,s0,s0,s0,s0),
    inference(resolution,[status(thm)],[c_4,c_199]) ).

tff(c_206,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_143,c_202]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : MSC015-1.005 : TPTP v8.1.2. Released v3.5.0.
% 0.00/0.13  % 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 : n005.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 13:09:12 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 3.21/1.80  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.21/1.81  
% 3.21/1.81  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.21/1.84  
% 3.21/1.84  Inference rules
% 3.21/1.84  ----------------------
% 3.21/1.84  #Ref     : 0
% 3.21/1.84  #Sup     : 44
% 3.21/1.84  #Fact    : 0
% 3.21/1.84  #Define  : 0
% 3.21/1.84  #Split   : 1
% 3.21/1.84  #Chain   : 0
% 3.21/1.84  #Close   : 0
% 3.21/1.84  
% 3.21/1.84  Ordering : KBO
% 3.21/1.84  
% 3.21/1.84  Simplification rules
% 3.21/1.84  ----------------------
% 3.21/1.84  #Subsume      : 0
% 3.21/1.84  #Demod        : 2
% 3.21/1.84  #Tautology    : 0
% 3.21/1.84  #SimpNegUnit  : 0
% 3.21/1.84  #BackRed      : 0
% 3.21/1.84  
% 3.21/1.84  #Partial instantiations: 0
% 3.21/1.84  #Strategies tried      : 1
% 3.21/1.84  
% 3.21/1.84  Timing (in seconds)
% 3.21/1.84  ----------------------
% 3.21/1.85  Preprocessing        : 0.42
% 3.21/1.85  Parsing              : 0.23
% 3.21/1.85  CNF conversion       : 0.02
% 3.21/1.85  Main loop            : 0.34
% 3.21/1.85  Inferencing          : 0.15
% 3.21/1.85  Reduction            : 0.07
% 3.21/1.85  Demodulation         : 0.04
% 3.21/1.85  BG Simplification    : 0.02
% 3.21/1.85  Subsumption          : 0.10
% 3.21/1.85  Abstraction          : 0.01
% 3.21/1.85  MUC search           : 0.00
% 3.21/1.85  Cooper               : 0.00
% 3.21/1.85  Total                : 0.82
% 3.21/1.85  Index Insertion      : 0.00
% 3.21/1.85  Index Deletion       : 0.00
% 3.21/1.85  Index Matching       : 0.00
% 3.21/1.85  BG Taut test         : 0.00
%------------------------------------------------------------------------------