TSTP Solution File: SYN223-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN223-1 : TPTP v8.1.2. Released v1.1.0.
% 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 : n001.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 11:10:01 EDT 2023

% Result   : Unsatisfiable 7.74s 2.82s
% Output   : CNFRefutation 8.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   61
% Syntax   : Number of formulae    :   78 (  13 unt;  53 typ;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   33 (  19   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   90 (  48   >;  42   *;   0   +;   0  <<)
%            Number of predicates  :   49 (  48 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   18 (;  18   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ r3 > q2 > q1 > p5 > p4 > p3 > p2 > p1 > n1 > m3 > m1 > m0 > k3 > s3 > r5 > q5 > q4 > q3 > q0 > p0 > n5 > n4 > n0 > m5 > m4 > l3 > l2 > l1 > k2 > s5 > s4 > s2 > s1 > s0 > r4 > r2 > r1 > r0 > n3 > n2 > m2 > l5 > l4 > l0 > k5 > k4 > k1 > k0 > #nlpp > e > d > c > b > a

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(n5,type,
    n5: ( $i * $i ) > $o ).

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

tff(m2,type,
    m2: $i > $o ).

tff(s5,type,
    s5: $i > $o ).

tff(s1,type,
    s1: $i > $o ).

tff(m5,type,
    m5: ( $i * $i ) > $o ).

tff(q4,type,
    q4: ( $i * $i ) > $o ).

tff(m4,type,
    m4: ( $i * $i ) > $o ).

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

tff(k1,type,
    k1: $i > $o ).

tff(l1,type,
    l1: ( $i * $i ) > $o ).

tff(s0,type,
    s0: $i > $o ).

tff(q2,type,
    q2: ( $i * $i * $i ) > $o ).

tff(n0,type,
    n0: ( $i * $i ) > $o ).

tff(k0,type,
    k0: $i > $o ).

tff(m3,type,
    m3: ( $i * $i * $i ) > $o ).

tff(r4,type,
    r4: $i > $o ).

tff(l0,type,
    l0: $i > $o ).

tff(q0,type,
    q0: ( $i * $i ) > $o ).

tff(k4,type,
    k4: $i > $o ).

tff(m1,type,
    m1: ( $i * $i * $i ) > $o ).

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

tff(p0,type,
    p0: ( $i * $i ) > $o ).

tff(r0,type,
    r0: $i > $o ).

tff(q1,type,
    q1: ( $i * $i * $i ) > $o ).

tff(s4,type,
    s4: $i > $o ).

tff(r3,type,
    r3: ( $i * $i * $i ) > $o ).

tff(k2,type,
    k2: ( $i * $i ) > $o ).

tff(n2,type,
    n2: $i > $o ).

tff(s3,type,
    s3: ( $i * $i ) > $o ).

tff(l3,type,
    l3: ( $i * $i ) > $o ).

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

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

tff(s2,type,
    s2: $i > $o ).

tff(r5,type,
    r5: ( $i * $i ) > $o ).

tff(k3,type,
    k3: ( $i * $i * $i ) > $o ).

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

tff(l2,type,
    l2: ( $i * $i ) > $o ).

tff(l4,type,
    l4: $i > $o ).

tff(l5,type,
    l5: $i > $o ).

tff(k5,type,
    k5: $i > $o ).

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

tff(n4,type,
    n4: ( $i * $i ) > $o ).

tff(q3,type,
    q3: ( $i * $i ) > $o ).

tff(m0,type,
    m0: ( $i * $i * $i ) > $o ).

tff(q5,type,
    q5: ( $i * $i ) > $o ).

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

tff(n1,type,
    n1: ( $i * $i * $i ) > $o ).

tff(r1,type,
    r1: $i > $o ).

tff(n3,type,
    n3: $i > $o ).

tff(r2,type,
    r2: $i > $o ).

tff(p1,type,
    p1: ( $i * $i * $i ) > $o ).

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

tff(f_75,axiom,
    k0(e),
    file(unknown,unknown) ).

tff(f_627,axiom,
    ! [D] :
      ( p1(D,D,D)
      | ~ k0(D) ),
    file(unknown,unknown) ).

tff(f_1169,axiom,
    ! [A,B,C] :
      ( n2(A)
      | ~ p1(B,C,A) ),
    file(unknown,unknown) ).

tff(f_1164,axiom,
    ( m2(b)
    | ~ k1(b) ),
    file(unknown,unknown) ).

tff(f_60,axiom,
    n0(a,b),
    file(unknown,unknown) ).

tff(f_91,axiom,
    ! [I,J] :
      ( k1(I)
      | ~ n0(J,I) ),
    file(unknown,unknown) ).

tff(f_1823,axiom,
    ! [C] :
      ( l3(C,C)
      | ~ n2(C)
      | ~ m2(b) ),
    file(unknown,unknown) ).

tff(f_2765,axiom,
    ! [X] : ~ l3(X,e),
    file(unknown,unknown) ).

tff(c_56,plain,
    k0(e),
    inference(cnfTransformation,[status(thm)],[f_75]) ).

tff(c_1067,plain,
    ! [D_691] :
      ( ~ k0(D_691)
      | p1(D_691,D_691,D_691) ),
    inference(cnfTransformation,[status(thm)],[f_627]) ).

tff(c_350,plain,
    ! [B_257,C_258,A_256] :
      ( ~ p1(B_257,C_258,A_256)
      | n2(A_256) ),
    inference(cnfTransformation,[status(thm)],[f_1169]) ).

tff(c_1071,plain,
    ! [D_691] :
      ( n2(D_691)
      | ~ k0(D_691) ),
    inference(resolution,[status(thm)],[c_1067,c_350]) ).

tff(c_348,plain,
    ( ~ k1(b)
    | m2(b) ),
    inference(cnfTransformation,[status(thm)],[f_1164]) ).

tff(c_843,plain,
    ~ k1(b),
    inference(splitLeft,[status(thm)],[c_348]) ).

tff(c_30,plain,
    n0(a,b),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_848,plain,
    ! [J_635,I_636] :
      ( ~ n0(J_635,I_636)
      | k1(I_636) ),
    inference(cnfTransformation,[status(thm)],[f_91]) ).

tff(c_854,plain,
    k1(b),
    inference(resolution,[status(thm)],[c_30,c_848]) ).

tff(c_877,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_843,c_854]) ).

tff(c_878,plain,
    m2(b),
    inference(splitRight,[status(thm)],[c_348]) ).

tff(c_510,plain,
    ! [C_396] :
      ( ~ m2(b)
      | ~ n2(C_396)
      | l3(C_396,C_396) ),
    inference(cnfTransformation,[status(thm)],[f_1823]) ).

tff(c_1093,plain,
    ! [C_699] :
      ( ~ n2(C_699)
      | l3(C_699,C_699) ),
    inference(demodulation,[status(thm),theory(equality)],[c_878,c_510]) ).

tff(c_738,plain,
    ! [X_627] : ~ l3(X_627,e),
    inference(cnfTransformation,[status(thm)],[f_2765]) ).

tff(c_1098,plain,
    ~ n2(e),
    inference(resolution,[status(thm)],[c_1093,c_738]) ).

tff(c_1101,plain,
    ~ k0(e),
    inference(resolution,[status(thm)],[c_1071,c_1098]) ).

tff(c_1108,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_56,c_1101]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN223-1 : TPTP v8.1.2. Released v1.1.0.
% 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
% 0.14/0.36  % Computer : n001.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 17:39:25 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 7.74/2.82  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.74/2.82  
% 7.74/2.82  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.14/2.85  
% 8.14/2.85  Inference rules
% 8.14/2.85  ----------------------
% 8.14/2.85  #Ref     : 0
% 8.14/2.85  #Sup     : 49
% 8.14/2.85  #Fact    : 0
% 8.14/2.85  #Define  : 0
% 8.14/2.85  #Split   : 16
% 8.14/2.85  #Chain   : 0
% 8.14/2.85  #Close   : 0
% 8.14/2.85  
% 8.14/2.85  Ordering : KBO
% 8.14/2.85  
% 8.14/2.85  Simplification rules
% 8.14/2.85  ----------------------
% 8.14/2.85  #Subsume      : 35
% 8.14/2.85  #Demod        : 67
% 8.14/2.85  #Tautology    : 22
% 8.14/2.85  #SimpNegUnit  : 2
% 8.14/2.85  #BackRed      : 0
% 8.14/2.85  
% 8.14/2.85  #Partial instantiations: 0
% 8.14/2.85  #Strategies tried      : 1
% 8.14/2.85  
% 8.14/2.85  Timing (in seconds)
% 8.14/2.85  ----------------------
% 8.14/2.85  Preprocessing        : 0.99
% 8.14/2.85  Parsing              : 0.57
% 8.14/2.86  CNF conversion       : 0.08
% 8.14/2.86  Main loop            : 0.79
% 8.14/2.86  Inferencing          : 0.15
% 8.14/2.86  Reduction            : 0.30
% 8.14/2.86  Demodulation         : 0.20
% 8.14/2.86  BG Simplification    : 0.10
% 8.14/2.86  Subsumption          : 0.20
% 8.14/2.86  Abstraction          : 0.02
% 8.14/2.86  MUC search           : 0.00
% 8.14/2.86  Cooper               : 0.00
% 8.14/2.86  Total                : 1.83
% 8.14/2.86  Index Insertion      : 0.00
% 8.14/2.86  Index Deletion       : 0.00
% 8.14/2.86  Index Matching       : 0.00
% 8.14/2.86  BG Taut test         : 0.00
%------------------------------------------------------------------------------