TSTP Solution File: SYN711-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN711-1 : 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 : n015.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 11:11:41 EDT 2023

% Result   : Unsatisfiable 7.73s 2.73s
% Output   : CNFRefutation 7.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   67
% Syntax   : Number of formulae    :   76 (   8 unt;  62 typ;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  11   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :   11 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   75 (  43   >;  32   *;   0   +;   0  <<)
%            Number of predicates  :   20 (  19 usr;   1 prp; 0-2 aty)
%            Number of functors    :   43 (  43 usr;  19 con; 0-4 aty)
%            Number of variables   :   14 (;  14   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ p9 > p6 > p5 > p44 > p43 > p42 > p41 > p40 > p33 > p3 > p28 > p26 > p24 > p22 > p2 > p19 > p17 > p45 > p39 > f31 > f25 > f37 > f36 > f35 > f32 > f30 > f27 > f21 > f20 > f14 > #nlpp > f8 > f7 > f4 > f38 > f34 > f23 > f18 > f16 > f15 > f13 > f12 > f11 > f10 > c63 > c62 > c61 > c60 > c59 > c58 > c57 > c56 > c55 > c54 > c53 > c52 > c51 > c50 > c49 > c48 > c47 > c46 > c1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(c61,type,
    c61: $i ).

tff(f12,type,
    f12: $i > $i ).

tff(c57,type,
    c57: $i ).

tff(f32,type,
    f32: ( $i * $i ) > $i ).

tff(c47,type,
    c47: $i ).

tff(p43,type,
    p43: ( $i * $i ) > $o ).

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

tff(c55,type,
    c55: $i ).

tff(f36,type,
    f36: ( $i * $i ) > $i ).

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

tff(c1,type,
    c1: $i ).

tff(c58,type,
    c58: $i ).

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

tff(f23,type,
    f23: $i > $i ).

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

tff(c52,type,
    c52: $i ).

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

tff(c48,type,
    c48: $i ).

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

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

tff(f30,type,
    f30: ( $i * $i ) > $i ).

tff(f34,type,
    f34: $i > $i ).

tff(f38,type,
    f38: $i > $i ).

tff(p42,type,
    p42: ( $i * $i ) > $o ).

tff(c53,type,
    c53: $i ).

tff(p33,type,
    p33: ( $i * $i ) > $o ).

tff(f31,type,
    f31: ( $i * $i * $i * $i ) > $i ).

tff(p5,type,
    p5: ( $i * $i ) > $o ).

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

tff(c63,type,
    c63: $i ).

tff(f35,type,
    f35: ( $i * $i ) > $i ).

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

tff(c54,type,
    c54: $i ).

tff(p44,type,
    p44: ( $i * $i ) > $o ).

tff(c46,type,
    c46: $i ).

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

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

tff(c50,type,
    c50: $i ).

tff(p45,type,
    p45: $i > $o ).

tff(p40,type,
    p40: ( $i * $i ) > $o ).

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

tff(p41,type,
    p41: ( $i * $i ) > $o ).

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

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

tff(f27,type,
    f27: ( $i * $i ) > $i ).

tff(c51,type,
    c51: $i ).

tff(p39,type,
    p39: $i > $o ).

tff(p28,type,
    p28: ( $i * $i ) > $o ).

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

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

tff(c56,type,
    c56: $i ).

tff(f37,type,
    f37: ( $i * $i ) > $i ).

tff(c60,type,
    c60: $i ).

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

tff(c49,type,
    c49: $i ).

tff(f25,type,
    f25: ( $i * $i * $i * $i ) > $i ).

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

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

tff(c62,type,
    c62: $i ).

tff(c59,type,
    c59: $i ).

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

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

tff(f_382,axiom,
    ~ p42(f16(c62),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49))))))))))),
    file(unknown,unknown) ).

tff(f_384,axiom,
    p41(f16(f7(c46)),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49))))))))))),
    file(unknown,unknown) ).

tff(f_61,axiom,
    p42(f16(c62),f16(f7(c46))),
    file(unknown,unknown) ).

tff(f_66,axiom,
    ! [X73,X74] :
      ( p42(X73,X74)
      | ~ p41(X73,X74) ),
    file(unknown,unknown) ).

tff(f_188,axiom,
    ! [X75,X76,X77] :
      ( p42(X75,X76)
      | ~ p42(X75,X77)
      | ~ p42(X77,X76) ),
    file(unknown,unknown) ).

tff(c_156,plain,
    ~ p42(f16(c62),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49))))))))))),
    inference(cnfTransformation,[status(thm)],[f_382]) ).

tff(c_160,plain,
    p41(f16(f7(c46)),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49))))))))))),
    inference(cnfTransformation,[status(thm)],[f_384]) ).

tff(c_50,plain,
    p42(f16(c62),f16(f7(c46))),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_52,plain,
    ! [X73_13,X74_14] :
      ( ~ p41(X73_13,X74_14)
      | p42(X73_13,X74_14) ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_524,plain,
    ! [X77_282,X76_283,X75_284] :
      ( ~ p42(X77_282,X76_283)
      | ~ p42(X75_284,X77_282)
      | p42(X75_284,X76_283) ),
    inference(cnfTransformation,[status(thm)],[f_188]) ).

tff(c_535,plain,
    ! [X75_293,X73_294,X74_295] :
      ( ~ p42(X75_293,X73_294)
      | p42(X75_293,X74_295)
      | ~ p41(X73_294,X74_295) ),
    inference(resolution,[status(thm)],[c_52,c_524]) ).

tff(c_541,plain,
    ! [X74_295] :
      ( p42(f16(c62),X74_295)
      | ~ p41(f16(f7(c46)),X74_295) ),
    inference(resolution,[status(thm)],[c_50,c_535]) ).

tff(c_2092,plain,
    p42(f16(c62),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49))))))))))),
    inference(resolution,[status(thm)],[c_160,c_541]) ).

tff(c_2098,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_156,c_2092]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN711-1 : 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
% 0.20/0.36  % Computer : n015.cluster.edu
% 0.20/0.36  % Model    : x86_64 x86_64
% 0.20/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.36  % Memory   : 8042.1875MB
% 0.20/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.20/0.36  % CPULimit : 300
% 0.20/0.36  % WCLimit  : 300
% 0.20/0.36  % DateTime : Thu Aug  3 17:36:59 EDT 2023
% 0.20/0.36  % CPUTime  : 
% 7.73/2.73  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.73/2.74  
% 7.73/2.74  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.73/2.77  
% 7.73/2.77  Inference rules
% 7.73/2.77  ----------------------
% 7.73/2.77  #Ref     : 0
% 7.73/2.77  #Sup     : 560
% 7.73/2.77  #Fact    : 0
% 7.73/2.77  #Define  : 0
% 7.73/2.77  #Split   : 0
% 7.73/2.77  #Chain   : 0
% 7.73/2.77  #Close   : 0
% 7.73/2.77  
% 7.73/2.77  Ordering : KBO
% 7.73/2.77  
% 7.73/2.77  Simplification rules
% 7.73/2.77  ----------------------
% 7.73/2.77  #Subsume      : 70
% 7.73/2.77  #Demod        : 14
% 7.73/2.77  #Tautology    : 18
% 7.73/2.77  #SimpNegUnit  : 4
% 7.73/2.77  #BackRed      : 0
% 7.73/2.77  
% 7.73/2.77  #Partial instantiations: 0
% 7.73/2.77  #Strategies tried      : 1
% 7.73/2.77  
% 7.73/2.77  Timing (in seconds)
% 7.73/2.77  ----------------------
% 8.03/2.77  Preprocessing        : 0.71
% 8.03/2.77  Parsing              : 0.37
% 8.03/2.77  CNF conversion       : 0.04
% 8.03/2.77  Main loop            : 0.98
% 8.03/2.77  Inferencing          : 0.32
% 8.03/2.77  Reduction            : 0.28
% 8.03/2.77  Demodulation         : 0.19
% 8.03/2.77  BG Simplification    : 0.04
% 8.03/2.77  Subsumption          : 0.27
% 8.03/2.77  Abstraction          : 0.03
% 8.03/2.77  MUC search           : 0.00
% 8.03/2.77  Cooper               : 0.00
% 8.03/2.77  Total                : 1.73
% 8.03/2.77  Index Insertion      : 0.00
% 8.03/2.77  Index Deletion       : 0.00
% 8.03/2.77  Index Matching       : 0.00
% 8.03/2.77  BG Taut test         : 0.00
%------------------------------------------------------------------------------