TSTP Solution File: SYN293-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN293-1 : 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 : n025.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 11:10:20 EDT 2023

% Result   : Unsatisfiable 18.31s 7.78s
% Output   : CNFRefutation 18.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   60
% Syntax   : Number of formulae    :   76 (  13 unt;  53 typ;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   38 (  21   ~;  17   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   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   :   23 (;  23   !;   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_84,axiom,
    n0(b,a),
    file(unknown,unknown) ).

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

tff(f_63,axiom,
    ! [X] : q0(X,d),
    file(unknown,unknown) ).

tff(f_348,axiom,
    ! [A,B] :
      ( m1(A,B,B)
      | ~ k1(a)
      | ~ k1(B)
      | ~ q0(A,A) ),
    file(unknown,unknown) ).

tff(f_992,axiom,
    ! [H,I,J] :
      ( q1(H,H,I)
      | ~ r0(J)
      | ~ m1(H,I,I) ),
    file(unknown,unknown) ).

tff(f_52,axiom,
    r0(b),
    file(unknown,unknown) ).

tff(f_2764,axiom,
    ~ q1(d,d,a),
    file(unknown,unknown) ).

tff(c_74,plain,
    n0(b,a),
    inference(cnfTransformation,[status(thm)],[f_84]) ).

tff(c_1297,plain,
    ! [J_727,I_728] :
      ( ~ n0(J_727,I_728)
      | k1(I_728) ),
    inference(cnfTransformation,[status(thm)],[f_91]) ).

tff(c_1325,plain,
    k1(a),
    inference(resolution,[status(thm)],[c_74,c_1297]) ).

tff(c_34,plain,
    ! [X_3] : q0(X_3,d),
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_144,plain,
    ! [A_67,B_68] :
      ( ~ q0(A_67,A_67)
      | ~ k1(B_68)
      | ~ k1(a)
      | m1(A_67,B_68,B_68) ),
    inference(cnfTransformation,[status(thm)],[f_348]) ).

tff(c_27422,plain,
    ! [A_4580,B_4581] :
      ( ~ q0(A_4580,A_4580)
      | ~ k1(B_4581)
      | m1(A_4580,B_4581,B_4581) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1325,c_144]) ).

tff(c_27436,plain,
    ! [B_4582] :
      ( ~ k1(B_4582)
      | m1(d,B_4582,B_4582) ),
    inference(resolution,[status(thm)],[c_34,c_27422]) ).

tff(c_302,plain,
    ! [H_216,I_217,J_218] :
      ( ~ m1(H_216,I_217,I_217)
      | ~ r0(J_218)
      | q1(H_216,H_216,I_217) ),
    inference(cnfTransformation,[status(thm)],[f_992]) ).

tff(c_26897,plain,
    ! [J_218] : ~ r0(J_218),
    inference(splitLeft,[status(thm)],[c_302]) ).

tff(c_18,plain,
    r0(b),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_26900,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_26897,c_18]) ).

tff(c_26901,plain,
    ! [H_216,I_217] :
      ( ~ m1(H_216,I_217,I_217)
      | q1(H_216,H_216,I_217) ),
    inference(splitRight,[status(thm)],[c_302]) ).

tff(c_27464,plain,
    ! [B_4584] :
      ( q1(d,d,B_4584)
      | ~ k1(B_4584) ),
    inference(resolution,[status(thm)],[c_27436,c_26901]) ).

tff(c_738,plain,
    ~ q1(d,d,a),
    inference(cnfTransformation,[status(thm)],[f_2764]) ).

tff(c_27467,plain,
    ~ k1(a),
    inference(resolution,[status(thm)],[c_27464,c_738]) ).

tff(c_27471,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1325,c_27467]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN293-1 : 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
% 0.15/0.36  % Computer : n025.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 17:33:49 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 18.31/7.78  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.31/7.79  
% 18.31/7.79  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 18.55/7.82  
% 18.55/7.82  Inference rules
% 18.55/7.82  ----------------------
% 18.55/7.82  #Ref     : 0
% 18.55/7.82  #Sup     : 4596
% 18.55/7.82  #Fact    : 0
% 18.55/7.82  #Define  : 0
% 18.55/7.82  #Split   : 522
% 18.55/7.82  #Chain   : 0
% 18.55/7.82  #Close   : 0
% 18.55/7.82  
% 18.55/7.82  Ordering : KBO
% 18.55/7.82  
% 18.55/7.82  Simplification rules
% 18.55/7.82  ----------------------
% 18.55/7.82  #Subsume      : 859
% 18.55/7.82  #Demod        : 5511
% 18.55/7.82  #Tautology    : 4383
% 18.55/7.82  #SimpNegUnit  : 298
% 18.55/7.82  #BackRed      : 414
% 18.55/7.82  
% 18.55/7.82  #Partial instantiations: 0
% 18.55/7.82  #Strategies tried      : 1
% 18.55/7.82  
% 18.55/7.82  Timing (in seconds)
% 18.55/7.82  ----------------------
% 18.55/7.82  Preprocessing        : 0.99
% 18.55/7.82  Parsing              : 0.57
% 18.55/7.82  CNF conversion       : 0.08
% 18.55/7.82  Main loop            : 5.76
% 18.55/7.82  Inferencing          : 1.88
% 18.55/7.82  Reduction            : 2.10
% 18.55/7.82  Demodulation         : 1.39
% 18.55/7.82  BG Simplification    : 0.12
% 18.55/7.82  Subsumption          : 1.08
% 18.55/7.82  Abstraction          : 0.07
% 18.55/7.82  MUC search           : 0.00
% 18.55/7.82  Cooper               : 0.00
% 18.55/7.82  Total                : 6.80
% 18.55/7.82  Index Insertion      : 0.00
% 18.55/7.82  Index Deletion       : 0.00
% 18.55/7.82  Index Matching       : 0.00
% 18.55/7.82  BG Taut test         : 0.00
%------------------------------------------------------------------------------