TSTP Solution File: SYN700-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN700-1 : 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 11:11:39 EDT 2023

% Result   : Unsatisfiable 191.97s 152.46s
% Output   : CNFRefutation 191.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   56
% Syntax   : Number of formulae    :   82 (  15 unt;  47 typ;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   68 (  36   ~;  32   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   53 (  32   >;  21   *;   0   +;   0  <<)
%            Number of predicates  :   19 (  18 usr;   1 prp; 0-3 aty)
%            Number of functors    :   29 (  29 usr;  15 con; 0-2 aty)
%            Number of variables   :   52 (;  52   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ p26 > p7 > p6 > p33 > p32 > p31 > p3 > p27 > p21 > p2 > p17 > p14 > p12 > p10 > p30 > p29 > p28 > p25 > f23 > f22 > f19 > f15 > f13 > f11 > #nlpp > f9 > f8 > f5 > f4 > f24 > f20 > f18 > f16 > c48 > c47 > c46 > c45 > c44 > c43 > c42 > c41 > c40 > c39 > c38 > c37 > c36 > c35 > c34

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(p32,type,
    p32: ( $i * $i ) > $o ).

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

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

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

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

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

tff(c45,type,
    c45: $i ).

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

tff(c37,type,
    c37: $i ).

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

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

tff(c40,type,
    c40: $i ).

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

tff(p21,type,
    p21: ( $i * $i ) > $o ).

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

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

tff(c42,type,
    c42: $i ).

tff(p31,type,
    p31: ( $i * $i ) > $o ).

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

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

tff(f24,type,
    f24: $i > $i ).

tff(c41,type,
    c41: $i ).

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

tff(c39,type,
    c39: $i ).

tff(c44,type,
    c44: $i ).

tff(p27,type,
    p27: ( $i * $i ) > $o ).

tff(p30,type,
    p30: $i > $o ).

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

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

tff(c38,type,
    c38: $i ).

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

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

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

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

tff(p14,type,
    p14: ( $i * $i ) > $o ).

tff(c43,type,
    c43: $i ).

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

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

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

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

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

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

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

tff(p29,type,
    p29: $i > $o ).

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

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

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

tff(f_29,axiom,
    ! [X5] : p10(X5,X5),
    file(unknown,unknown) ).

tff(f_46,axiom,
    p2(c44,c46),
    file(unknown,unknown) ).

tff(f_39,axiom,
    ! [X43] : p2(X43,X43),
    file(unknown,unknown) ).

tff(f_176,axiom,
    ! [X44,X45,X43] :
      ( p2(X44,X45)
      | ~ p2(X43,X44)
      | ~ p2(X43,X45) ),
    file(unknown,unknown) ).

tff(f_128,axiom,
    ! [X91,X92] :
      ( p3(f4(X91),f4(X92))
      | ~ p2(X91,X92) ),
    file(unknown,unknown) ).

tff(f_160,axiom,
    ! [X89,X90,X88] :
      ( p3(X89,X90)
      | ~ p3(X88,X89)
      | ~ p3(X88,X90) ),
    file(unknown,unknown) ).

tff(f_303,axiom,
    ! [X46,X47,X48,X49] :
      ( p2(f11(X46,X47),f11(X48,X49))
      | ~ p10(X47,X49)
      | ~ p3(X46,X48) ),
    file(unknown,unknown) ).

tff(f_264,axiom,
    p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    file(unknown,unknown) ).

tff(f_266,axiom,
    ~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    file(unknown,unknown) ).

tff(c_14,plain,
    ! [X5_1] : p10(X5_1,X5_1),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_32,plain,
    p2(c44,c46),
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_24,plain,
    ! [X43_6] : p2(X43_6,X43_6),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_397,plain,
    ! [X43_196,X45_197,X44_198] :
      ( ~ p2(X43_196,X45_197)
      | ~ p2(X43_196,X44_198)
      | p2(X44_198,X45_197) ),
    inference(cnfTransformation,[status(thm)],[f_176]) ).

tff(c_429,plain,
    ! [X43_200,X44_201] :
      ( ~ p2(X43_200,X44_201)
      | p2(X44_201,X43_200) ),
    inference(resolution,[status(thm)],[c_24,c_397]) ).

tff(c_449,plain,
    p2(c46,c44),
    inference(resolution,[status(thm)],[c_32,c_429]) ).

tff(c_74,plain,
    ! [X91_33,X92_34] :
      ( ~ p2(X91_33,X92_34)
      | p3(f4(X91_33),f4(X92_34)) ),
    inference(cnfTransformation,[status(thm)],[f_128]) ).

tff(c_507,plain,
    ! [X88_210,X90_211,X89_212] :
      ( ~ p3(X88_210,X90_211)
      | ~ p3(X88_210,X89_212)
      | p3(X89_212,X90_211) ),
    inference(cnfTransformation,[status(thm)],[f_160]) ).

tff(c_3050,plain,
    ! [X91_518,X89_519,X92_520] :
      ( ~ p3(f4(X91_518),X89_519)
      | p3(X89_519,f4(X92_520))
      | ~ p2(X91_518,X92_520) ),
    inference(resolution,[status(thm)],[c_74,c_507]) ).

tff(c_5573,plain,
    ! [X92_620,X92_621,X91_622] :
      ( p3(f4(X92_620),f4(X92_621))
      | ~ p2(X91_622,X92_621)
      | ~ p2(X91_622,X92_620) ),
    inference(resolution,[status(thm)],[c_74,c_3050]) ).

tff(c_5780,plain,
    ! [X92_624] :
      ( p3(f4(X92_624),f4(c46))
      | ~ p2(c44,X92_624) ),
    inference(resolution,[status(thm)],[c_32,c_5573]) ).

tff(c_512,plain,
    ! [X91_33,X89_212,X92_34] :
      ( ~ p3(f4(X91_33),X89_212)
      | p3(X89_212,f4(X92_34))
      | ~ p2(X91_33,X92_34) ),
    inference(resolution,[status(thm)],[c_74,c_507]) ).

tff(c_47212,plain,
    ! [X92_1265,X92_1266] :
      ( p3(f4(c46),f4(X92_1265))
      | ~ p2(X92_1266,X92_1265)
      | ~ p2(c44,X92_1266) ),
    inference(resolution,[status(thm)],[c_5780,c_512]) ).

tff(c_47682,plain,
    ( p3(f4(c46),f4(c44))
    | ~ p2(c44,c46) ),
    inference(resolution,[status(thm)],[c_449,c_47212]) ).

tff(c_47933,plain,
    p3(f4(c46),f4(c44)),
    inference(demodulation,[status(thm),theory(equality)],[c_32,c_47682]) ).

tff(c_1046,plain,
    ! [X46_302,X48_303,X47_304,X49_305] :
      ( ~ p3(X46_302,X48_303)
      | ~ p10(X47_304,X49_305)
      | p2(f11(X46_302,X47_304),f11(X48_303,X49_305)) ),
    inference(cnfTransformation,[status(thm)],[f_303]) ).

tff(c_418,plain,
    ! [X43_6,X44_198] :
      ( ~ p2(X43_6,X44_198)
      | p2(X44_198,X43_6) ),
    inference(resolution,[status(thm)],[c_24,c_397]) ).

tff(c_1057,plain,
    ! [X48_303,X49_305,X46_302,X47_304] :
      ( p2(f11(X48_303,X49_305),f11(X46_302,X47_304))
      | ~ p3(X46_302,X48_303)
      | ~ p10(X47_304,X49_305) ),
    inference(resolution,[status(thm)],[c_1046,c_418]) ).

tff(c_112,plain,
    p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    inference(cnfTransformation,[status(thm)],[f_264]) ).

tff(c_1084,plain,
    p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    inference(resolution,[status(thm)],[c_112,c_418]) ).

tff(c_86,plain,
    ! [X43_52,X45_51,X44_50] :
      ( ~ p2(X43_52,X45_51)
      | ~ p2(X43_52,X44_50)
      | p2(X44_50,X45_51) ),
    inference(cnfTransformation,[status(thm)],[f_176]) ).

tff(c_346555,plain,
    ! [X44_2952] :
      ( ~ p2(f11(f4(c44),c43),X44_2952)
      | p2(X44_2952,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
    inference(resolution,[status(thm)],[c_1084,c_86]) ).

tff(c_114,plain,
    ~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    inference(cnfTransformation,[status(thm)],[f_266]) ).

tff(c_347789,plain,
    ~ p2(f11(f4(c44),c43),f11(f4(c46),c43)),
    inference(resolution,[status(thm)],[c_346555,c_114]) ).

tff(c_347805,plain,
    ( ~ p3(f4(c46),f4(c44))
    | ~ p10(c43,c43) ),
    inference(resolution,[status(thm)],[c_1057,c_347789]) ).

tff(c_347815,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_47933,c_347805]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYN700-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14  % 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 : n023.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 17:47:52 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 191.97/152.46  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 191.97/152.47  
% 191.97/152.47  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 191.97/152.50  
% 191.97/152.50  Inference rules
% 191.97/152.50  ----------------------
% 191.97/152.50  #Ref     : 0
% 191.97/152.50  #Sup     : 109785
% 191.97/152.50  #Fact    : 0
% 191.97/152.50  #Define  : 0
% 191.97/152.50  #Split   : 270
% 191.97/152.50  #Chain   : 0
% 191.97/152.50  #Close   : 0
% 191.97/152.50  
% 191.97/152.50  Ordering : KBO
% 191.97/152.50  
% 191.97/152.50  Simplification rules
% 191.97/152.50  ----------------------
% 191.97/152.50  #Subsume      : 13792
% 191.97/152.50  #Demod        : 2557
% 191.97/152.50  #Tautology    : 816
% 191.97/152.50  #SimpNegUnit  : 201
% 191.97/152.50  #BackRed      : 0
% 191.97/152.50  
% 191.97/152.50  #Partial instantiations: 0
% 191.97/152.50  #Strategies tried      : 1
% 191.97/152.50  
% 191.97/152.50  Timing (in seconds)
% 191.97/152.50  ----------------------
% 192.09/152.51  Preprocessing        : 0.59
% 192.09/152.51  Parsing              : 0.33
% 192.09/152.51  CNF conversion       : 0.04
% 192.09/152.51  Main loop            : 150.85
% 192.09/152.51  Inferencing          : 7.53
% 192.09/152.51  Reduction            : 28.14
% 192.09/152.51  Demodulation         : 13.58
% 192.09/152.51  BG Simplification    : 0.49
% 192.09/152.51  Subsumption          : 103.46
% 192.09/152.51  Abstraction          : 0.69
% 192.09/152.51  MUC search           : 0.00
% 192.09/152.51  Cooper               : 0.00
% 192.09/152.51  Total                : 151.49
% 192.09/152.51  Index Insertion      : 0.00
% 192.09/152.51  Index Deletion       : 0.00
% 192.09/152.51  Index Matching       : 0.00
% 192.09/152.51  BG Taut test         : 0.00
%------------------------------------------------------------------------------