TSTP Solution File: SYN626-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN626-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : n009.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 11:11:27 EDT 2023

% Result   : Unsatisfiable 16.37s 7.62s
% Output   : CNFRefutation 16.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   31
% Syntax   : Number of formulae    :   49 (  13 unt;  23 typ;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   47 (  26   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   32 (  18   >;  14   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-2 aty)
%            Number of variables   :   31 (;  31   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ p7 > p6 > p3 > p2 > p19 > p18 > p17 > p16 > p15 > p14 > p11 > f9 > f8 > f10 > #nlpp > f5 > f4 > f13 > f12 > c24 > c23 > c22 > c21 > c20

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(f12,type,
    f12: $i > $i ).

tff(p15,type,
    p15: ( $i * $i ) > $o ).

tff(p16,type,
    p16: ( $i * $i ) > $o ).

tff(f9,type,
    f9: ( $i * $i ) > $i ).

tff(p2,type,
    p2: ( $i * $i ) > $o ).

tff(c21,type,
    c21: $i ).

tff(c23,type,
    c23: $i ).

tff(f13,type,
    f13: $i > $i ).

tff(p11,type,
    p11: ( $i * $i ) > $o ).

tff(p17,type,
    p17: ( $i * $i ) > $o ).

tff(c22,type,
    c22: $i ).

tff(f5,type,
    f5: $i > $i ).

tff(p3,type,
    p3: ( $i * $i ) > $o ).

tff(f8,type,
    f8: ( $i * $i ) > $i ).

tff(p19,type,
    p19: ( $i * $i ) > $o ).

tff(p14,type,
    p14: ( $i * $i ) > $o ).

tff(f4,type,
    f4: $i > $i ).

tff(p6,type,
    p6: ( $i * $i ) > $o ).

tff(f10,type,
    f10: ( $i * $i ) > $i ).

tff(p7,type,
    p7: ( $i * $i ) > $o ).

tff(c20,type,
    c20: $i ).

tff(p18,type,
    p18: ( $i * $i ) > $o ).

tff(c24,type,
    c24: $i ).

tff(f_27,axiom,
    ! [X47] : p6(X47,X47),
    file(unknown,unknown) ).

tff(f_40,axiom,
    p15(c22,f8(f5(c20),f9(c23,c24))),
    file(unknown,unknown) ).

tff(f_39,axiom,
    ! [X14,X15] :
      ( p16(X14,X15)
      | ~ p15(X14,X15) ),
    file(unknown,unknown) ).

tff(f_70,axiom,
    ! [X20] :
      ( p7(f12(f13(X20)),X20)
      | ~ p16(c22,X20) ),
    file(unknown,unknown) ).

tff(f_25,axiom,
    ! [X54] : p7(X54,X54),
    file(unknown,unknown) ).

tff(f_86,axiom,
    ! [X55,X56,X54] :
      ( p7(X55,X56)
      | ~ p7(X54,X55)
      | ~ p7(X54,X56) ),
    file(unknown,unknown) ).

tff(f_211,axiom,
    ! [X10,X11,X12,X13] :
      ( p15(X10,X11)
      | ~ p6(X12,X10)
      | ~ p7(X13,X11)
      | ~ p15(X12,X13) ),
    file(unknown,unknown) ).

tff(f_136,axiom,
    ~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
    file(unknown,unknown) ).

tff(c_6,plain,
    ! [X47_3] : p6(X47_3,X47_3),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_18,plain,
    p15(c22,f8(f5(c20),f9(c23,c24))),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_16,plain,
    ! [X14_7,X15_8] :
      ( ~ p15(X14_7,X15_8)
      | p16(X14_7,X15_8) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_30,plain,
    ! [X20_18] :
      ( ~ p16(c22,X20_18)
      | p7(f12(f13(X20_18)),X20_18) ),
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_4,plain,
    ! [X54_2] : p7(X54_2,X54_2),
    inference(cnfTransformation,[status(thm)],[f_25]) ).

tff(c_170,plain,
    ! [X54_115,X56_116,X55_117] :
      ( ~ p7(X54_115,X56_116)
      | ~ p7(X54_115,X55_117)
      | p7(X55_117,X56_116) ),
    inference(cnfTransformation,[status(thm)],[f_86]) ).

tff(c_180,plain,
    ! [X54_118,X55_119] :
      ( ~ p7(X54_118,X55_119)
      | p7(X55_119,X54_118) ),
    inference(resolution,[status(thm)],[c_4,c_170]) ).

tff(c_188,plain,
    ! [X20_18] :
      ( p7(X20_18,f12(f13(X20_18)))
      | ~ p16(c22,X20_18) ),
    inference(resolution,[status(thm)],[c_30,c_180]) ).

tff(c_972,plain,
    ! [X12_199,X13_200,X11_201,X10_202] :
      ( ~ p15(X12_199,X13_200)
      | ~ p7(X13_200,X11_201)
      | ~ p6(X12_199,X10_202)
      | p15(X10_202,X11_201) ),
    inference(cnfTransformation,[status(thm)],[f_211]) ).

tff(c_3342,plain,
    ! [X11_333,X10_334] :
      ( ~ p7(f8(f5(c20),f9(c23,c24)),X11_333)
      | ~ p6(c22,X10_334)
      | p15(X10_334,X11_333) ),
    inference(resolution,[status(thm)],[c_18,c_972]) ).

tff(c_3365,plain,
    ! [X10_334] :
      ( ~ p6(c22,X10_334)
      | p15(X10_334,f12(f13(f8(f5(c20),f9(c23,c24)))))
      | ~ p16(c22,f8(f5(c20),f9(c23,c24))) ),
    inference(resolution,[status(thm)],[c_188,c_3342]) ).

tff(c_47056,plain,
    ~ p16(c22,f8(f5(c20),f9(c23,c24))),
    inference(splitLeft,[status(thm)],[c_3365]) ).

tff(c_47059,plain,
    ~ p15(c22,f8(f5(c20),f9(c23,c24))),
    inference(resolution,[status(thm)],[c_16,c_47056]) ).

tff(c_47063,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_18,c_47059]) ).

tff(c_47244,plain,
    ! [X10_1224] :
      ( ~ p6(c22,X10_1224)
      | p15(X10_1224,f12(f13(f8(f5(c20),f9(c23,c24))))) ),
    inference(splitRight,[status(thm)],[c_3365]) ).

tff(c_48,plain,
    ~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
    inference(cnfTransformation,[status(thm)],[f_136]) ).

tff(c_47262,plain,
    ~ p6(c22,c22),
    inference(resolution,[status(thm)],[c_47244,c_48]) ).

tff(c_47274,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_47262]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN626-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : n009.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 17:11:24 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 16.37/7.62  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.37/7.62  
% 16.37/7.62  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 16.75/7.65  
% 16.75/7.65  Inference rules
% 16.75/7.65  ----------------------
% 16.75/7.65  #Ref     : 0
% 16.75/7.65  #Sup     : 11862
% 16.75/7.65  #Fact    : 0
% 16.75/7.65  #Define  : 0
% 16.75/7.65  #Split   : 1
% 16.75/7.65  #Chain   : 0
% 16.75/7.65  #Close   : 0
% 16.75/7.65  
% 16.75/7.65  Ordering : KBO
% 16.75/7.65  
% 16.75/7.65  Simplification rules
% 16.75/7.65  ----------------------
% 16.75/7.65  #Subsume      : 3821
% 16.75/7.65  #Demod        : 1803
% 16.75/7.65  #Tautology    : 775
% 16.75/7.65  #SimpNegUnit  : 0
% 16.75/7.65  #BackRed      : 0
% 16.75/7.65  
% 16.75/7.65  #Partial instantiations: 0
% 16.75/7.65  #Strategies tried      : 1
% 16.75/7.65  
% 16.75/7.65  Timing (in seconds)
% 16.75/7.65  ----------------------
% 16.75/7.66  Preprocessing        : 0.49
% 16.75/7.66  Parsing              : 0.27
% 16.75/7.66  CNF conversion       : 0.03
% 16.75/7.66  Main loop            : 6.17
% 16.75/7.66  Inferencing          : 0.99
% 16.75/7.66  Reduction            : 1.12
% 16.75/7.66  Demodulation         : 0.79
% 16.75/7.66  BG Simplification    : 0.08
% 16.75/7.66  Subsumption          : 3.44
% 16.75/7.66  Abstraction          : 0.10
% 16.75/7.66  MUC search           : 0.00
% 16.75/7.66  Cooper               : 0.00
% 16.75/7.66  Total                : 6.71
% 16.75/7.66  Index Insertion      : 0.00
% 16.75/7.66  Index Deletion       : 0.00
% 16.75/7.66  Index Matching       : 0.00
% 16.75/7.66  BG Taut test         : 0.00
%------------------------------------------------------------------------------