TSTP Solution File: SYN641-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN641-1 : 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 : n012.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 11:11:30 EDT 2023

% Result   : Unsatisfiable 23.15s 12.55s
% Output   : CNFRefutation 23.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   44 (  13 unt;  19 typ;   0 def)
%            Number of atoms       :   52 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   57 (  30   ~;  27   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   27 (  16   >;  11   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-2 aty)
%            Number of variables   :   36 (;  36   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ p17 > p6 > p4 > p2 > p16 > p12 > p11 > p15 > f9 > f14 > f10 > #nlpp > f8 > f7 > f5 > f3 > f13 > c20 > c19 > c18

%Foreground sorts:

%Background operators:

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

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

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

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

tff(f7,type,
    f7: $i > $i ).

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

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

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

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

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

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

tff(c18,type,
    c18: $i ).

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

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

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

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

tff(c19,type,
    c19: $i ).

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

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

tff(f_22,axiom,
    p15(f3(c19)),
    file(unknown,unknown) ).

tff(f_23,axiom,
    p15(f3(c18)),
    file(unknown,unknown) ).

tff(f_39,axiom,
    p6(f7(f3(c18)),f7(c18)),
    file(unknown,unknown) ).

tff(f_40,axiom,
    p6(f7(f3(c19)),f7(c19)),
    file(unknown,unknown) ).

tff(f_208,axiom,
    ! [X14,X15] :
      ( p6(f7(f10(X14,X15)),f9(f7(X14),f7(X15)))
      | ~ p15(X14)
      | ~ p15(X15) ),
    file(unknown,unknown) ).

tff(f_27,axiom,
    ! [X45] : p6(X45,X45),
    file(unknown,unknown) ).

tff(f_98,axiom,
    ! [X46,X47,X45] :
      ( p6(X46,X47)
      | ~ p6(X45,X46)
      | ~ p6(X45,X47) ),
    file(unknown,unknown) ).

tff(f_168,axiom,
    ! [X52,X53,X54,X55] :
      ( p6(f9(X52,X53),f9(X54,X55))
      | ~ p6(X53,X55)
      | ~ p6(X52,X54) ),
    file(unknown,unknown) ).

tff(f_132,axiom,
    ~ p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))),
    file(unknown,unknown) ).

tff(c_2,plain,
    p15(f3(c19)),
    inference(cnfTransformation,[status(thm)],[f_22]) ).

tff(c_4,plain,
    p15(f3(c18)),
    inference(cnfTransformation,[status(thm)],[f_23]) ).

tff(c_24,plain,
    p6(f7(f3(c18)),f7(c18)),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_26,plain,
    p6(f7(f3(c19)),f7(c19)),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_949,plain,
    ! [X15_205,X14_206] :
      ( ~ p15(X15_205)
      | ~ p15(X14_206)
      | p6(f7(f10(X14_206,X15_205)),f9(f7(X14_206),f7(X15_205))) ),
    inference(cnfTransformation,[status(thm)],[f_208]) ).

tff(c_8,plain,
    ! [X45_2] : p6(X45_2,X45_2),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_163,plain,
    ! [X45_122,X47_123,X46_124] :
      ( ~ p6(X45_122,X47_123)
      | ~ p6(X45_122,X46_124)
      | p6(X46_124,X47_123) ),
    inference(cnfTransformation,[status(thm)],[f_98]) ).

tff(c_184,plain,
    ! [X45_2,X46_124] :
      ( ~ p6(X45_2,X46_124)
      | p6(X46_124,X45_2) ),
    inference(resolution,[status(thm)],[c_8,c_163]) ).

tff(c_6388,plain,
    ! [X14_561,X15_562] :
      ( p6(f9(f7(X14_561),f7(X15_562)),f7(f10(X14_561,X15_562)))
      | ~ p15(X15_562)
      | ~ p15(X14_561) ),
    inference(resolution,[status(thm)],[c_949,c_184]) ).

tff(c_513,plain,
    ! [X52_160,X54_161,X53_162,X55_163] :
      ( ~ p6(X52_160,X54_161)
      | ~ p6(X53_162,X55_163)
      | p6(f9(X52_160,X53_162),f9(X54_161,X55_163)) ),
    inference(cnfTransformation,[status(thm)],[f_168]) ).

tff(c_46,plain,
    ! [X45_26,X47_25,X46_24] :
      ( ~ p6(X45_26,X47_25)
      | ~ p6(X45_26,X46_24)
      | p6(X46_24,X47_25) ),
    inference(cnfTransformation,[status(thm)],[f_98]) ).

tff(c_519,plain,
    ! [X52_160,X55_163,X54_161,X53_162,X46_24] :
      ( ~ p6(f9(X52_160,X53_162),X46_24)
      | p6(X46_24,f9(X54_161,X55_163))
      | ~ p6(X52_160,X54_161)
      | ~ p6(X53_162,X55_163) ),
    inference(resolution,[status(thm)],[c_513,c_46]) ).

tff(c_61724,plain,
    ! [X14_2032,X15_2033,X54_2034,X55_2035] :
      ( p6(f7(f10(X14_2032,X15_2033)),f9(X54_2034,X55_2035))
      | ~ p6(f7(X14_2032),X54_2034)
      | ~ p6(f7(X15_2033),X55_2035)
      | ~ p15(X15_2033)
      | ~ p15(X14_2032) ),
    inference(resolution,[status(thm)],[c_6388,c_519]) ).

tff(c_56,plain,
    ~ p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))),
    inference(cnfTransformation,[status(thm)],[f_132]) ).

tff(c_61785,plain,
    ( ~ p6(f7(f3(c19)),f7(c19))
    | ~ p6(f7(f3(c18)),f7(c18))
    | ~ p15(f3(c18))
    | ~ p15(f3(c19)) ),
    inference(resolution,[status(thm)],[c_61724,c_56]) ).

tff(c_61822,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_4,c_24,c_26,c_61785]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN641-1 : 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 : n012.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
% 0.20/0.35  % CPULimit : 300
% 0.20/0.35  % WCLimit  : 300
% 0.20/0.35  % DateTime : Thu Aug  3 17:10:22 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 23.15/12.55  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.15/12.55  
% 23.15/12.55  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 23.24/12.58  
% 23.24/12.58  Inference rules
% 23.24/12.58  ----------------------
% 23.24/12.58  #Ref     : 0
% 23.24/12.58  #Sup     : 16252
% 23.24/12.58  #Fact    : 0
% 23.24/12.58  #Define  : 0
% 23.24/12.58  #Split   : 20
% 23.24/12.58  #Chain   : 0
% 23.24/12.58  #Close   : 0
% 23.24/12.58  
% 23.24/12.58  Ordering : KBO
% 23.24/12.58  
% 23.24/12.58  Simplification rules
% 23.24/12.58  ----------------------
% 23.24/12.58  #Subsume      : 7881
% 23.24/12.58  #Demod        : 2145
% 23.24/12.58  #Tautology    : 538
% 23.24/12.58  #SimpNegUnit  : 243
% 23.24/12.58  #BackRed      : 0
% 23.24/12.58  
% 23.24/12.58  #Partial instantiations: 0
% 23.24/12.58  #Strategies tried      : 1
% 23.24/12.58  
% 23.24/12.58  Timing (in seconds)
% 23.24/12.58  ----------------------
% 23.24/12.58  Preprocessing        : 0.50
% 23.24/12.58  Parsing              : 0.28
% 23.24/12.58  CNF conversion       : 0.03
% 23.24/12.58  Main loop            : 11.01
% 23.24/12.58  Inferencing          : 1.79
% 23.24/12.58  Reduction            : 2.32
% 23.24/12.59  Demodulation         : 1.38
% 23.24/12.59  BG Simplification    : 0.09
% 23.24/12.59  Subsumption          : 6.09
% 23.24/12.59  Abstraction          : 0.14
% 23.24/12.59  MUC search           : 0.00
% 23.24/12.59  Cooper               : 0.00
% 23.24/12.59  Total                : 11.56
% 23.24/12.59  Index Insertion      : 0.00
% 23.24/12.59  Index Deletion       : 0.00
% 23.24/12.59  Index Matching       : 0.00
% 23.24/12.59  BG Taut test         : 0.00
%------------------------------------------------------------------------------