TSTP Solution File: SYN584-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN584-1 : 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 : n023.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 11:11:22 EDT 2023

% Result   : Unsatisfiable 40.80s 28.29s
% Output   : CNFRefutation 40.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   41 (  13 unt;  21 typ;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   31 (  17   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    8 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   27 (  15   >;  12   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-2 aty)
%            Number of variables   :   23 (;  23   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ p6 > p5 > p3 > p2 > p16 > p15 > p12 > f9 > f8 > f7 > f14 > f13 > #nlpp > f4 > f11 > f10 > c22 > c21 > c20 > c19 > c18 > c17

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(p15,type,
    p15: ( $i * $i ) > $o ).

tff(p16,type,
    p16: ( $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(c21,type,
    c21: $i ).

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

tff(c17,type,
    c17: $i ).

tff(c22,type,
    c22: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

tff(f_149,axiom,
    p15(c22,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
    file(unknown,unknown) ).

tff(f_29,axiom,
    ! [X26] : p3(X26,X26),
    file(unknown,unknown) ).

tff(f_151,axiom,
    p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),c22),
    file(unknown,unknown) ).

tff(f_23,axiom,
    ! [X0] : p12(X0,X0),
    file(unknown,unknown) ).

tff(f_54,axiom,
    ! [X1,X2,X0] :
      ( p12(X1,X2)
      | ~ p12(X0,X1)
      | ~ p12(X0,X2) ),
    file(unknown,unknown) ).

tff(f_108,axiom,
    ! [X11,X12,X13,X14] :
      ( p15(X11,X12)
      | ~ p15(X13,X14)
      | ~ p3(X14,X12)
      | ~ p12(X13,X11) ),
    file(unknown,unknown) ).

tff(f_162,axiom,
    ~ p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
    file(unknown,unknown) ).

tff(c_42,plain,
    p15(c22,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
    inference(cnfTransformation,[status(thm)],[f_149]) ).

tff(c_8,plain,
    ! [X26_4] : p3(X26_4,X26_4),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_46,plain,
    p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),c22),
    inference(cnfTransformation,[status(thm)],[f_151]) ).

tff(c_2,plain,
    ! [X0_1] : p12(X0_1,X0_1),
    inference(cnfTransformation,[status(thm)],[f_23]) ).

tff(c_63,plain,
    ! [X0_70,X2_71,X1_72] :
      ( ~ p12(X0_70,X2_71)
      | ~ p12(X0_70,X1_72)
      | p12(X1_72,X2_71) ),
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_66,plain,
    ! [X0_1,X1_72] :
      ( ~ p12(X0_1,X1_72)
      | p12(X1_72,X0_1) ),
    inference(resolution,[status(thm)],[c_2,c_63]) ).

tff(c_778,plain,
    p12(c22,f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17))),
    inference(resolution,[status(thm)],[c_46,c_66]) ).

tff(c_30,plain,
    ! [X13_33,X11_31,X14_34,X12_32] :
      ( ~ p12(X13_33,X11_31)
      | ~ p3(X14_34,X12_32)
      | ~ p15(X13_33,X14_34)
      | p15(X11_31,X12_32) ),
    inference(cnfTransformation,[status(thm)],[f_108]) ).

tff(c_16300,plain,
    ! [X14_1258,X12_1259] :
      ( ~ p3(X14_1258,X12_1259)
      | ~ p15(c22,X14_1258)
      | p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),X12_1259) ),
    inference(resolution,[status(thm)],[c_778,c_30]) ).

tff(c_87665,plain,
    ! [X26_2850] :
      ( ~ p15(c22,X26_2850)
      | p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),X26_2850) ),
    inference(resolution,[status(thm)],[c_8,c_16300]) ).

tff(c_50,plain,
    ~ p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
    inference(cnfTransformation,[status(thm)],[f_162]) ).

tff(c_87693,plain,
    ~ p15(c22,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
    inference(resolution,[status(thm)],[c_87665,c_50]) ).

tff(c_87716,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_42,c_87693]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN584-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % 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 : n023.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 17:29:52 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 40.80/28.29  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 40.80/28.29  
% 40.80/28.29  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 40.92/28.32  
% 40.92/28.32  Inference rules
% 40.92/28.32  ----------------------
% 40.92/28.32  #Ref     : 0
% 40.92/28.32  #Sup     : 28667
% 40.92/28.32  #Fact    : 0
% 40.92/28.32  #Define  : 0
% 40.92/28.32  #Split   : 1
% 40.92/28.32  #Chain   : 0
% 40.92/28.32  #Close   : 0
% 40.92/28.32  
% 40.92/28.32  Ordering : KBO
% 40.92/28.32  
% 40.92/28.32  Simplification rules
% 40.92/28.32  ----------------------
% 40.92/28.32  #Subsume      : 1855
% 40.92/28.32  #Demod        : 19
% 40.92/28.32  #Tautology    : 17
% 40.92/28.32  #SimpNegUnit  : 0
% 40.92/28.32  #BackRed      : 0
% 40.92/28.32  
% 40.92/28.32  #Partial instantiations: 0
% 40.92/28.32  #Strategies tried      : 1
% 40.92/28.32  
% 40.92/28.32  Timing (in seconds)
% 40.92/28.32  ----------------------
% 40.92/28.32  Preprocessing        : 0.49
% 40.92/28.32  Parsing              : 0.27
% 40.92/28.32  CNF conversion       : 0.03
% 40.92/28.32  Main loop            : 26.77
% 40.92/28.32  Inferencing          : 1.55
% 40.92/28.32  Reduction            : 2.39
% 40.92/28.32  Demodulation         : 1.52
% 40.92/28.32  BG Simplification    : 0.19
% 40.92/28.32  Subsumption          : 20.18
% 40.92/28.32  Abstraction          : 0.26
% 40.92/28.32  MUC search           : 0.00
% 40.92/28.32  Cooper               : 0.00
% 40.92/28.32  Total                : 27.31
% 40.92/28.33  Index Insertion      : 0.00
% 40.92/28.33  Index Deletion       : 0.00
% 40.92/28.33  Index Matching       : 0.00
% 40.92/28.33  BG Taut test         : 0.00
%------------------------------------------------------------------------------