TSTP Solution File: SYN580-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN580-1 : 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 : n018.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 11:11:21 EDT 2023

% Result   : Unsatisfiable 24.33s 13.86s
% Output   : CNFRefutation 24.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   56 (  18 unt;  15 typ;   0 def)
%            Number of atoms       :  106 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  129 (  64   ~;  65   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (  10   >;   8   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-1 aty)
%            Number of variables   :   72 (;  72   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ p8 > p9 > p7 > p4 > p2 > p11 > p10 > #nlpp > f6 > f5 > f3 > c16 > c15 > c14 > c13 > c12

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(f3,type,
    f3: $i > $i ).

tff(p4,type,
    p4: ( $i * $i ) > $o ).

tff(c12,type,
    c12: $i ).

tff(c16,type,
    c16: $i ).

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

tff(c14,type,
    c14: $i ).

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

tff(c15,type,
    c15: $i ).

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

tff(f6,type,
    f6: $i > $i ).

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

tff(c13,type,
    c13: $i ).

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

tff(p8,type,
    p8: ( $i * $i * $i ) > $o ).

tff(p9,type,
    p9: ( $i * $i ) > $o ).

tff(f_31,axiom,
    p9(c12,c13),
    file(unknown,unknown) ).

tff(f_25,axiom,
    ! [X19] : p7(X19,X19),
    file(unknown,unknown) ).

tff(f_30,axiom,
    p11(c15,c16),
    file(unknown,unknown) ).

tff(f_32,axiom,
    p2(c14,f3(c15)),
    file(unknown,unknown) ).

tff(f_29,axiom,
    ! [X7] : p2(X7,X7),
    file(unknown,unknown) ).

tff(f_81,axiom,
    ! [X8,X9,X7] :
      ( p2(X8,X9)
      | ~ p2(X7,X8)
      | ~ p2(X7,X9) ),
    file(unknown,unknown) ).

tff(f_27,axiom,
    ! [X12] : p4(X12,X12),
    file(unknown,unknown) ).

tff(f_103,axiom,
    ! [X31,X30] :
      ( p9(c12,f6(X31))
      | p8(c12,X30,f3(X31))
      | ~ p9(c12,X30) ),
    file(unknown,unknown) ).

tff(f_155,axiom,
    ! [X22,X27,X23,X24,X26,X25] :
      ( p8(X22,X23,X24)
      | ~ p2(X25,X24)
      | ~ p4(X26,X23)
      | ~ p7(X27,X22)
      | ~ p8(X27,X26,X25) ),
    file(unknown,unknown) ).

tff(f_89,axiom,
    ! [X28,X29] :
      ( p8(c12,X28,X29)
      | ~ p11(X29,c16)
      | ~ p9(c12,X28) ),
    file(unknown,unknown) ).

tff(f_141,axiom,
    ! [X30,X31] :
      ( p8(c12,X30,f3(X31))
      | ~ p9(c12,X30)
      | ~ p8(c12,f6(X31),X31) ),
    file(unknown,unknown) ).

tff(f_34,axiom,
    ~ p8(c12,c13,c14),
    file(unknown,unknown) ).

tff(c_12,plain,
    p9(c12,c13),
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_4,plain,
    ! [X19_2] : p7(X19_2,X19_2),
    inference(cnfTransformation,[status(thm)],[f_25]) ).

tff(c_10,plain,
    p11(c15,c16),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_14,plain,
    p2(c14,f3(c15)),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_8,plain,
    ! [X7_4] : p2(X7_4,X7_4),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_98,plain,
    ! [X7_71,X9_72,X8_73] :
      ( ~ p2(X7_71,X9_72)
      | ~ p2(X7_71,X8_73)
      | p2(X8_73,X9_72) ),
    inference(cnfTransformation,[status(thm)],[f_81]) ).

tff(c_108,plain,
    ! [X7_74,X8_75] :
      ( ~ p2(X7_74,X8_75)
      | p2(X8_75,X7_74) ),
    inference(resolution,[status(thm)],[c_8,c_98]) ).

tff(c_116,plain,
    p2(f3(c15),c14),
    inference(resolution,[status(thm)],[c_14,c_108]) ).

tff(c_6,plain,
    ! [X12_3] : p4(X12_3,X12_3),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_36,plain,
    ! [X30_28,X31_27] :
      ( ~ p9(c12,X30_28)
      | p8(c12,X30_28,f3(X31_27))
      | p9(c12,f6(X31_27)) ),
    inference(cnfTransformation,[status(thm)],[f_103]) ).

tff(c_695,plain,
    ! [X22_150,X27_145,X25_149,X24_147,X23_146,X26_148] :
      ( ~ p8(X27_145,X26_148,X25_149)
      | ~ p7(X27_145,X22_150)
      | ~ p4(X26_148,X23_146)
      | ~ p2(X25_149,X24_147)
      | p8(X22_150,X23_146,X24_147) ),
    inference(cnfTransformation,[status(thm)],[f_155]) ).

tff(c_3668,plain,
    ! [X24_311,X23_307,X22_308,X30_310,X31_309] :
      ( ~ p7(c12,X22_308)
      | ~ p4(X30_310,X23_307)
      | ~ p2(f3(X31_309),X24_311)
      | p8(X22_308,X23_307,X24_311)
      | ~ p9(c12,X30_310)
      | p9(c12,f6(X31_309)) ),
    inference(resolution,[status(thm)],[c_36,c_695]) ).

tff(c_6171,plain,
    ! [X22_368,X31_369,X24_370,X12_371] :
      ( ~ p7(c12,X22_368)
      | ~ p2(f3(X31_369),X24_370)
      | p8(X22_368,X12_371,X24_370)
      | ~ p9(c12,X12_371)
      | p9(c12,f6(X31_369)) ),
    inference(resolution,[status(thm)],[c_6,c_3668]) ).

tff(c_6252,plain,
    ! [X22_368,X12_371] :
      ( ~ p7(c12,X22_368)
      | p8(X22_368,X12_371,c14)
      | ~ p9(c12,X12_371)
      | p9(c12,f6(c15)) ),
    inference(resolution,[status(thm)],[c_116,c_6171]) ).

tff(c_33273,plain,
    p9(c12,f6(c15)),
    inference(splitLeft,[status(thm)],[c_6252]) ).

tff(c_32,plain,
    ! [X28_23,X29_24] :
      ( ~ p9(c12,X28_23)
      | ~ p11(X29_24,c16)
      | p8(c12,X28_23,X29_24) ),
    inference(cnfTransformation,[status(thm)],[f_89]) ).

tff(c_598,plain,
    ! [X31_137,X30_138] :
      ( ~ p8(c12,f6(X31_137),X31_137)
      | ~ p9(c12,X30_138)
      | p8(c12,X30_138,f3(X31_137)) ),
    inference(cnfTransformation,[status(thm)],[f_141]) ).

tff(c_1640,plain,
    ! [X30_220,X29_221] :
      ( ~ p9(c12,X30_220)
      | p8(c12,X30_220,f3(X29_221))
      | ~ p9(c12,f6(X29_221))
      | ~ p11(X29_221,c16) ),
    inference(resolution,[status(thm)],[c_32,c_598]) ).

tff(c_46,plain,
    ! [X27_42,X22_41,X25_46,X26_45,X23_43,X24_44] :
      ( ~ p8(X27_42,X26_45,X25_46)
      | ~ p7(X27_42,X22_41)
      | ~ p4(X26_45,X23_43)
      | ~ p2(X25_46,X24_44)
      | p8(X22_41,X23_43,X24_44) ),
    inference(cnfTransformation,[status(thm)],[f_155]) ).

tff(c_17500,plain,
    ! [X29_590,X30_594,X23_591,X22_593,X24_592] :
      ( ~ p7(c12,X22_593)
      | ~ p4(X30_594,X23_591)
      | ~ p2(f3(X29_590),X24_592)
      | p8(X22_593,X23_591,X24_592)
      | ~ p9(c12,X30_594)
      | ~ p9(c12,f6(X29_590))
      | ~ p11(X29_590,c16) ),
    inference(resolution,[status(thm)],[c_1640,c_46]) ).

tff(c_62013,plain,
    ! [X22_1277,X29_1278,X24_1279,X12_1280] :
      ( ~ p7(c12,X22_1277)
      | ~ p2(f3(X29_1278),X24_1279)
      | p8(X22_1277,X12_1280,X24_1279)
      | ~ p9(c12,X12_1280)
      | ~ p9(c12,f6(X29_1278))
      | ~ p11(X29_1278,c16) ),
    inference(resolution,[status(thm)],[c_6,c_17500]) ).

tff(c_62157,plain,
    ! [X22_1277,X12_1280] :
      ( ~ p7(c12,X22_1277)
      | p8(X22_1277,X12_1280,c14)
      | ~ p9(c12,X12_1280)
      | ~ p9(c12,f6(c15))
      | ~ p11(c15,c16) ),
    inference(resolution,[status(thm)],[c_116,c_62013]) ).

tff(c_62238,plain,
    ! [X22_1281,X12_1282] :
      ( ~ p7(c12,X22_1281)
      | p8(X22_1281,X12_1282,c14)
      | ~ p9(c12,X12_1282) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_33273,c_62157]) ).

tff(c_16,plain,
    ~ p8(c12,c13,c14),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_62246,plain,
    ( ~ p7(c12,c12)
    | ~ p9(c12,c13) ),
    inference(resolution,[status(thm)],[c_62238,c_16]) ).

tff(c_62254,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_4,c_62246]) ).

tff(c_62261,plain,
    ! [X22_1283,X12_1284] :
      ( ~ p7(c12,X22_1283)
      | p8(X22_1283,X12_1284,c14)
      | ~ p9(c12,X12_1284) ),
    inference(splitRight,[status(thm)],[c_6252]) ).

tff(c_62269,plain,
    ( ~ p7(c12,c12)
    | ~ p9(c12,c13) ),
    inference(resolution,[status(thm)],[c_62261,c_16]) ).

tff(c_62277,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_4,c_62269]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SYN580-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15  % 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
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 17:38:05 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 24.33/13.86  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.33/13.87  
% 24.33/13.87  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 24.33/13.90  
% 24.33/13.90  Inference rules
% 24.33/13.90  ----------------------
% 24.33/13.90  #Ref     : 0
% 24.33/13.90  #Sup     : 17851
% 24.33/13.90  #Fact    : 0
% 24.33/13.90  #Define  : 0
% 24.33/13.90  #Split   : 42
% 24.33/13.90  #Chain   : 0
% 24.33/13.90  #Close   : 0
% 24.33/13.90  
% 24.33/13.90  Ordering : KBO
% 24.33/13.90  
% 24.33/13.90  Simplification rules
% 24.33/13.90  ----------------------
% 24.33/13.90  #Subsume      : 6676
% 24.33/13.90  #Demod        : 2080
% 24.33/13.91  #Tautology    : 555
% 24.33/13.91  #SimpNegUnit  : 42
% 24.33/13.91  #BackRed      : 0
% 24.33/13.91  
% 24.33/13.91  #Partial instantiations: 0
% 24.33/13.91  #Strategies tried      : 1
% 24.33/13.91  
% 24.33/13.91  Timing (in seconds)
% 24.33/13.91  ----------------------
% 24.33/13.91  Preprocessing        : 0.47
% 24.33/13.91  Parsing              : 0.26
% 24.33/13.91  CNF conversion       : 0.03
% 24.33/13.91  Main loop            : 12.35
% 24.33/13.91  Inferencing          : 1.27
% 24.33/13.91  Reduction            : 1.89
% 24.33/13.91  Demodulation         : 1.09
% 24.33/13.91  BG Simplification    : 0.11
% 24.33/13.91  Subsumption          : 8.28
% 24.33/13.91  Abstraction          : 0.14
% 24.33/13.91  MUC search           : 0.00
% 24.33/13.91  Cooper               : 0.00
% 24.33/13.91  Total                : 12.87
% 24.33/13.91  Index Insertion      : 0.00
% 24.33/13.91  Index Deletion       : 0.00
% 24.33/13.91  Index Matching       : 0.00
% 24.33/13.91  BG Taut test         : 0.00
%------------------------------------------------------------------------------