TSTP Solution File: SYN659-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN659-1 : 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 : n024.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 11:11:32 EDT 2023

% Result   : Unsatisfiable 19.33s 9.41s
% Output   : CNFRefutation 19.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   49
% Syntax   : Number of formulae    :   65 (  13 unt;  40 typ;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   49 (  26   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   43 (  25   >;  18   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  14 usr;   1 prp; 0-3 aty)
%            Number of functors    :   26 (  26 usr;  15 con; 0-2 aty)
%            Number of variables   :   40 (;  40   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ p23 > p7 > p6 > p3 > p26 > p25 > p24 > p20 > p2 > p19 > p14 > p12 > p10 > p22 > f21 > f15 > f13 > f11 > #nlpp > f9 > f8 > f5 > f4 > f18 > f17 > f16 > c41 > c40 > c39 > c38 > c37 > c36 > c35 > c34 > c33 > c32 > c31 > c30 > c29 > c28 > c27

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(f11,type,
    f11: ( $i * $i ) > $i ).

tff(f18,type,
    f18: $i > $i ).

tff(c37,type,
    c37: $i ).

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

tff(f17,type,
    f17: $i > $i ).

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

tff(c40,type,
    c40: $i ).

tff(c34,type,
    c34: $i ).

tff(p20,type,
    p20: ( $i * $i ) > $o ).

tff(p23,type,
    p23: ( $i * $i * $i ) > $o ).

tff(c32,type,
    c32: $i ).

tff(c27,type,
    c27: $i ).

tff(c41,type,
    c41: $i ).

tff(f16,type,
    f16: $i > $i ).

tff(c39,type,
    c39: $i ).

tff(p22,type,
    p22: $i > $o ).

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

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

tff(c38,type,
    c38: $i ).

tff(c36,type,
    c36: $i ).

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

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

tff(p25,type,
    p25: ( $i * $i ) > $o ).

tff(c29,type,
    c29: $i ).

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

tff(p24,type,
    p24: ( $i * $i ) > $o ).

tff(c30,type,
    c30: $i ).

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

tff(p10,type,
    p10: ( $i * $i ) > $o ).

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

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

tff(c35,type,
    c35: $i ).

tff(f15,type,
    f15: ( $i * $i ) > $i ).

tff(c31,type,
    c31: $i ).

tff(c28,type,
    c28: $i ).

tff(p26,type,
    p26: ( $i * $i ) > $o ).

tff(f21,type,
    f21: ( $i * $i ) > $i ).

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

tff(p12,type,
    p12: ( $i * $i ) > $o ).

tff(c33,type,
    c33: $i ).

tff(f_96,axiom,
    p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
    file(unknown,unknown) ).

tff(f_26,axiom,
    ! [X87] : p7(X87,X87),
    file(unknown,unknown) ).

tff(f_227,axiom,
    ! [X23,X24,X25,X26] :
      ( p14(f15(X23,X24),f15(X25,X26))
      | ~ p12(X24,X26)
      | ~ p7(X23,X25) ),
    file(unknown,unknown) ).

tff(f_38,axiom,
    ! [X20] : p14(X20,X20),
    file(unknown,unknown) ).

tff(f_160,axiom,
    ! [X21,X22,X20] :
      ( p14(X21,X22)
      | ~ p14(X20,X21)
      | ~ p14(X20,X22) ),
    file(unknown,unknown) ).

tff(f_94,axiom,
    p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
    file(unknown,unknown) ).

tff(f_40,axiom,
    ! [X13] : p12(X13,X13),
    file(unknown,unknown) ).

tff(f_192,axiom,
    ! [X67,X68,X70,X69] :
      ( p24(X67,X68)
      | ~ p14(X70,X67)
      | ~ p24(X70,X69)
      | ~ p12(X69,X68) ),
    file(unknown,unknown) ).

tff(f_170,axiom,
    ~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
    file(unknown,unknown) ).

tff(c_58,plain,
    p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
    inference(cnfTransformation,[status(thm)],[f_96]) ).

tff(c_6,plain,
    ! [X87_2] : p7(X87_2,X87_2),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_841,plain,
    ! [X23_214,X25_215,X24_216,X26_217] :
      ( ~ p7(X23_214,X25_215)
      | ~ p12(X24_216,X26_217)
      | p14(f15(X23_214,X24_216),f15(X25_215,X26_217)) ),
    inference(cnfTransformation,[status(thm)],[f_227]) ).

tff(c_18,plain,
    ! [X20_8] : p14(X20_8,X20_8),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_320,plain,
    ! [X20_161,X22_162,X21_163] :
      ( ~ p14(X20_161,X22_162)
      | ~ p14(X20_161,X21_163)
      | p14(X21_163,X22_162) ),
    inference(cnfTransformation,[status(thm)],[f_160]) ).

tff(c_326,plain,
    ! [X20_8,X21_163] :
      ( ~ p14(X20_8,X21_163)
      | p14(X21_163,X20_8) ),
    inference(resolution,[status(thm)],[c_18,c_320]) ).

tff(c_11026,plain,
    ! [X25_734,X26_735,X23_736,X24_737] :
      ( p14(f15(X25_734,X26_735),f15(X23_736,X24_737))
      | ~ p7(X23_736,X25_734)
      | ~ p12(X24_737,X26_735) ),
    inference(resolution,[status(thm)],[c_841,c_326]) ).

tff(c_54,plain,
    p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
    inference(cnfTransformation,[status(thm)],[f_94]) ).

tff(c_20,plain,
    ! [X13_9] : p12(X13_9,X13_9),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_611,plain,
    ! [X69_192,X68_193,X70_194,X67_195] :
      ( ~ p12(X69_192,X68_193)
      | ~ p24(X70_194,X69_192)
      | ~ p14(X70_194,X67_195)
      | p24(X67_195,X68_193) ),
    inference(cnfTransformation,[status(thm)],[f_192]) ).

tff(c_1725,plain,
    ! [X70_299,X13_300,X67_301] :
      ( ~ p24(X70_299,X13_300)
      | ~ p14(X70_299,X67_301)
      | p24(X67_301,X13_300) ),
    inference(resolution,[status(thm)],[c_20,c_611]) ).

tff(c_1730,plain,
    ! [X67_301] :
      ( ~ p14(f15(c29,f13(c40,c41)),X67_301)
      | p24(X67_301,f13(c32,c33)) ),
    inference(resolution,[status(thm)],[c_54,c_1725]) ).

tff(c_41533,plain,
    ! [X23_1286,X24_1287] :
      ( p24(f15(X23_1286,X24_1287),f13(c32,c33))
      | ~ p7(X23_1286,c29)
      | ~ p12(X24_1287,f13(c40,c41)) ),
    inference(resolution,[status(thm)],[c_11026,c_1730]) ).

tff(c_78,plain,
    ~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
    inference(cnfTransformation,[status(thm)],[f_170]) ).

tff(c_41560,plain,
    ( ~ p7(c29,c29)
    | ~ p12(f13(f16(c39),f17(c39)),f13(c40,c41)) ),
    inference(resolution,[status(thm)],[c_41533,c_78]) ).

tff(c_41584,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_58,c_6,c_41560]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYN659-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14  % 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
% 0.14/0.36  % Computer : n024.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 17:25:15 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 19.33/9.41  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.33/9.42  
% 19.33/9.42  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 19.43/9.44  
% 19.43/9.44  Inference rules
% 19.43/9.44  ----------------------
% 19.43/9.44  #Ref     : 0
% 19.43/9.44  #Sup     : 11351
% 19.43/9.44  #Fact    : 0
% 19.43/9.44  #Define  : 0
% 19.43/9.44  #Split   : 57
% 19.43/9.44  #Chain   : 0
% 19.43/9.44  #Close   : 0
% 19.43/9.44  
% 19.43/9.44  Ordering : KBO
% 19.43/9.44  
% 19.43/9.44  Simplification rules
% 19.43/9.44  ----------------------
% 19.43/9.44  #Subsume      : 2821
% 19.43/9.44  #Demod        : 1945
% 19.43/9.44  #Tautology    : 817
% 19.43/9.44  #SimpNegUnit  : 134
% 19.43/9.44  #BackRed      : 28
% 19.43/9.44  
% 19.43/9.44  #Partial instantiations: 0
% 19.43/9.44  #Strategies tried      : 1
% 19.43/9.44  
% 19.43/9.44  Timing (in seconds)
% 19.43/9.44  ----------------------
% 19.43/9.45  Preprocessing        : 0.54
% 19.43/9.45  Parsing              : 0.30
% 19.43/9.45  CNF conversion       : 0.03
% 19.43/9.45  Main loop            : 7.89
% 19.43/9.45  Inferencing          : 1.49
% 19.43/9.45  Reduction            : 2.13
% 19.43/9.45  Demodulation         : 1.35
% 19.43/9.45  BG Simplification    : 0.08
% 19.43/9.45  Subsumption          : 3.52
% 19.43/9.45  Abstraction          : 0.10
% 19.43/9.45  MUC search           : 0.00
% 19.43/9.45  Cooper               : 0.00
% 19.43/9.45  Total                : 8.47
% 19.43/9.45  Index Insertion      : 0.00
% 19.43/9.45  Index Deletion       : 0.00
% 19.43/9.45  Index Matching       : 0.00
% 19.43/9.45  BG Taut test         : 0.00
%------------------------------------------------------------------------------