TSTP Solution File: SYN657-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN657-1 : 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/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 : n025.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 12.15s 4.09s
% Output   : CNFRefutation 12.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   43
% Syntax   : Number of formulae    :   63 (  15 unt;  35 typ;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (  16   ~;  20   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   45 (  25   >;  20   *;   0   +;   0  <<)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :   25 (  25 usr;  10 con; 0-3 aty)
%            Number of variables   :   35 (;  35   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ p7 > p6 > p4 > p3 > p26 > p25 > p24 > p23 > p2 > p17 > f5 > f22 > f9 > f8 > f20 > f16 > f14 > f13 > #nlpp > f21 > f19 > f18 > f15 > f12 > f11 > f10 > c36 > c35 > c34 > c33 > c32 > c31 > c30 > c29 > c28 > c27

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

tff(f14,type,
    f14: ( $i * $i ) > $i ).

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

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

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

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

tff(f22,type,
    f22: ( $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(f19,type,
    f19: $i > $i ).

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

tff(f11,type,
    f11: $i > $i ).

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

tff(f20,type,
    f20: ( $i * $i ) > $i ).

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

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

tff(f_39,axiom,
    ~ p6(c28,f10(c33)),
    file(unknown,unknown) ).

tff(f_267,axiom,
    ! [X25,X26,X27] :
      ( p6(f21(X25),f10(c33))
      | p25(f22(X25,X26,X27),f18(X25))
      | p4(f5(X25,c36,X26),f5(X25,c36,X27)) ),
    file(unknown,unknown) ).

tff(f_234,axiom,
    ~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
    file(unknown,unknown) ).

tff(f_44,axiom,
    ! [X82,X83,X84] : p6(f21(f8(X82,f9(X83,X84))),X83),
    file(unknown,unknown) ).

tff(f_103,axiom,
    ! [X72,X73,X71] :
      ( p6(X72,X73)
      | ~ p6(X71,X72)
      | ~ p6(X71,X73) ),
    file(unknown,unknown) ).

tff(f_27,axiom,
    ! [X71] : p6(X71,X71),
    file(unknown,unknown) ).

tff(f_239,axiom,
    ! [X20] :
      ( p24(f19(f20(c31,c34)),f19(f20(c31,X20)))
      | ~ p25(X20,f18(f8(c27,f9(c28,c29)))) ),
    file(unknown,unknown) ).

tff(f_274,axiom,
    ! [X25,X26,X27] :
      ( p6(f21(X25),f10(c33))
      | p4(f5(X25,c36,X26),f5(X25,c36,X27))
      | ~ p24(f19(f20(X26,X27)),f19(f20(X26,f22(X25,X26,X27)))) ),
    file(unknown,unknown) ).

tff(c_22,plain,
    ~ p6(c28,f10(c33)),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_1649,plain,
    ! [X25_398,X26_399,X27_400] :
      ( p4(f5(X25_398,c36,X26_399),f5(X25_398,c36,X27_400))
      | p25(f22(X25_398,X26_399,X27_400),f18(X25_398))
      | p6(f21(X25_398),f10(c33)) ),
    inference(cnfTransformation,[status(thm)],[f_267]) ).

tff(c_88,plain,
    ~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
    inference(cnfTransformation,[status(thm)],[f_234]) ).

tff(c_1710,plain,
    ( p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29))))
    | p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
    inference(resolution,[status(thm)],[c_1649,c_88]) ).

tff(c_9001,plain,
    p6(f21(f8(c27,f9(c28,c29))),f10(c33)),
    inference(splitLeft,[status(thm)],[c_1710]) ).

tff(c_30,plain,
    ! [X82_7,X83_8,X84_9] : p6(f21(f8(X82_7,f9(X83_8,X84_9))),X83_8),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_159,plain,
    ! [X71_140,X73_141,X72_142] :
      ( ~ p6(X71_140,X73_141)
      | ~ p6(X71_140,X72_142)
      | p6(X72_142,X73_141) ),
    inference(cnfTransformation,[status(thm)],[f_103]) ).

tff(c_174,plain,
    ! [X82_7,X83_8,X84_9,X72_142] :
      ( ~ p6(f21(f8(X82_7,f9(X83_8,X84_9))),X72_142)
      | p6(X72_142,X83_8) ),
    inference(resolution,[status(thm)],[c_30,c_159]) ).

tff(c_9127,plain,
    p6(f10(c33),c28),
    inference(resolution,[status(thm)],[c_9001,c_174]) ).

tff(c_6,plain,
    ! [X71_3] : p6(X71_3,X71_3),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_177,plain,
    ! [X71_3,X72_142] :
      ( ~ p6(X71_3,X72_142)
      | p6(X72_142,X71_3) ),
    inference(resolution,[status(thm)],[c_6,c_159]) ).

tff(c_9199,plain,
    p6(c28,f10(c33)),
    inference(resolution,[status(thm)],[c_9127,c_177]) ).

tff(c_9239,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_22,c_9199]) ).

tff(c_9241,plain,
    ~ p6(f21(f8(c27,f9(c28,c29))),f10(c33)),
    inference(splitRight,[status(thm)],[c_1710]) ).

tff(c_9240,plain,
    p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29)))),
    inference(splitRight,[status(thm)],[c_1710]) ).

tff(c_90,plain,
    ! [X20_83] :
      ( ~ p25(X20_83,f18(f8(c27,f9(c28,c29))))
      | p24(f19(f20(c31,c34)),f19(f20(c31,X20_83))) ),
    inference(cnfTransformation,[status(thm)],[f_239]) ).

tff(c_1886,plain,
    ! [X26_414,X27_415,X25_416] :
      ( ~ p24(f19(f20(X26_414,X27_415)),f19(f20(X26_414,f22(X25_416,X26_414,X27_415))))
      | p4(f5(X25_416,c36,X26_414),f5(X25_416,c36,X27_415))
      | p6(f21(X25_416),f10(c33)) ),
    inference(cnfTransformation,[status(thm)],[f_274]) ).

tff(c_12412,plain,
    ! [X25_929] :
      ( p4(f5(X25_929,c36,c31),f5(X25_929,c36,c34))
      | p6(f21(X25_929),f10(c33))
      | ~ p25(f22(X25_929,c31,c34),f18(f8(c27,f9(c28,c29)))) ),
    inference(resolution,[status(thm)],[c_90,c_1886]) ).

tff(c_12414,plain,
    ( p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34))
    | p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
    inference(resolution,[status(thm)],[c_9240,c_12412]) ).

tff(c_12418,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_9241,c_88,c_12414]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN657-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.15/0.35  % Computer : n025.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu Aug  3 17:35:19 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 12.15/4.09  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.15/4.09  
% 12.15/4.09  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.36/4.12  
% 12.36/4.12  Inference rules
% 12.36/4.12  ----------------------
% 12.36/4.12  #Ref     : 0
% 12.36/4.12  #Sup     : 3794
% 12.36/4.12  #Fact    : 0
% 12.36/4.12  #Define  : 0
% 12.36/4.12  #Split   : 2
% 12.36/4.12  #Chain   : 0
% 12.36/4.12  #Close   : 0
% 12.36/4.12  
% 12.36/4.12  Ordering : KBO
% 12.36/4.12  
% 12.36/4.12  Simplification rules
% 12.36/4.12  ----------------------
% 12.36/4.12  #Subsume      : 190
% 12.36/4.12  #Demod        : 67
% 12.36/4.12  #Tautology    : 61
% 12.36/4.12  #SimpNegUnit  : 2
% 12.36/4.12  #BackRed      : 0
% 12.36/4.12  
% 12.36/4.12  #Partial instantiations: 0
% 12.36/4.12  #Strategies tried      : 1
% 12.36/4.12  
% 12.36/4.12  Timing (in seconds)
% 12.36/4.12  ----------------------
% 12.36/4.13  Preprocessing        : 0.56
% 12.36/4.13  Parsing              : 0.31
% 12.36/4.13  CNF conversion       : 0.04
% 12.36/4.13  Main loop            : 2.50
% 12.36/4.13  Inferencing          : 0.62
% 12.36/4.13  Reduction            : 0.65
% 12.36/4.13  Demodulation         : 0.46
% 12.36/4.13  BG Simplification    : 0.06
% 12.36/4.13  Subsumption          : 0.99
% 12.36/4.13  Abstraction          : 0.06
% 12.36/4.13  MUC search           : 0.00
% 12.36/4.13  Cooper               : 0.00
% 12.36/4.13  Total                : 3.11
% 12.36/4.13  Index Insertion      : 0.00
% 12.36/4.13  Index Deletion       : 0.00
% 12.36/4.13  Index Matching       : 0.00
% 12.36/4.13  BG Taut test         : 0.00
%------------------------------------------------------------------------------