TSTP Solution File: SYN225-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN225-1 : 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/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 : n032.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 11:10:02 EDT 2023

% Result   : Unsatisfiable 14.07s 4.93s
% Output   : CNFRefutation 14.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   60
% Syntax   : Number of formulae    :   71 (   9 unt;  53 typ;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   37 (  20   ~;  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   :   16 (;  16   !;   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_67,axiom,
    l0(a),
    file(unknown,unknown) ).

tff(f_79,axiom,
    k0(b),
    file(unknown,unknown) ).

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

tff(f_242,axiom,
    ! [I,J] :
      ( m1(I,J,I)
      | ~ l0(I)
      | ~ k0(J) ),
    file(unknown,unknown) ).

tff(f_1485,axiom,
    ! [D,E] :
      ( p2(D,E,D)
      | ~ m1(E,D,E) ),
    file(unknown,unknown) ).

tff(f_1807,axiom,
    ! [G,H] :
      ( l3(G,H)
      | ~ r0(G)
      | ~ p2(G,H,G) ),
    file(unknown,unknown) ).

tff(f_2764,axiom,
    ~ l3(b,a),
    file(unknown,unknown) ).

tff(c_40,plain,
    l0(a),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_64,plain,
    k0(b),
    inference(cnfTransformation,[status(thm)],[f_79]) ).

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

tff(c_11242,plain,
    ! [J_2236,I_2237] :
      ( ~ k0(J_2236)
      | ~ l0(I_2237)
      | m1(I_2237,J_2236,I_2237) ),
    inference(cnfTransformation,[status(thm)],[f_242]) ).

tff(c_428,plain,
    ! [E_319,D_318] :
      ( ~ m1(E_319,D_318,E_319)
      | p2(D_318,E_319,D_318) ),
    inference(cnfTransformation,[status(thm)],[f_1485]) ).

tff(c_11245,plain,
    ! [J_2236,I_2237] :
      ( p2(J_2236,I_2237,J_2236)
      | ~ k0(J_2236)
      | ~ l0(I_2237) ),
    inference(resolution,[status(thm)],[c_11242,c_428]) ).

tff(c_11506,plain,
    ! [G_2294,H_2295] :
      ( ~ p2(G_2294,H_2295,G_2294)
      | ~ r0(G_2294)
      | l3(G_2294,H_2295) ),
    inference(cnfTransformation,[status(thm)],[f_1807]) ).

tff(c_11707,plain,
    ! [J_2319,I_2320] :
      ( ~ r0(J_2319)
      | l3(J_2319,I_2320)
      | ~ k0(J_2319)
      | ~ l0(I_2320) ),
    inference(resolution,[status(thm)],[c_11245,c_11506]) ).

tff(c_738,plain,
    ~ l3(b,a),
    inference(cnfTransformation,[status(thm)],[f_2764]) ).

tff(c_11710,plain,
    ( ~ r0(b)
    | ~ k0(b)
    | ~ l0(a) ),
    inference(resolution,[status(thm)],[c_11707,c_738]) ).

tff(c_11714,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_40,c_64,c_18,c_11710]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYN225-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.11  % 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
% 0.13/0.31  % Computer : n032.cluster.edu
% 0.13/0.31  % Model    : x86_64 x86_64
% 0.13/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31  % Memory   : 8042.1875MB
% 0.13/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31  % CPULimit : 300
% 0.13/0.31  % WCLimit  : 300
% 0.13/0.31  % DateTime : Thu Aug  3 17:08:06 EDT 2023
% 0.13/0.31  % CPUTime  : 
% 14.07/4.93  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.07/4.93  
% 14.07/4.93  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 14.07/4.96  
% 14.07/4.96  Inference rules
% 14.07/4.96  ----------------------
% 14.07/4.96  #Ref     : 0
% 14.07/4.96  #Sup     : 1833
% 14.07/4.96  #Fact    : 0
% 14.07/4.96  #Define  : 0
% 14.07/4.96  #Split   : 209
% 14.07/4.96  #Chain   : 0
% 14.07/4.96  #Close   : 0
% 14.07/4.96  
% 14.07/4.96  Ordering : KBO
% 14.07/4.96  
% 14.07/4.96  Simplification rules
% 14.07/4.96  ----------------------
% 14.07/4.96  #Subsume      : 224
% 14.07/4.96  #Demod        : 2501
% 14.07/4.96  #Tautology    : 2107
% 14.07/4.96  #SimpNegUnit  : 72
% 14.07/4.96  #BackRed      : 109
% 14.07/4.96  
% 14.07/4.96  #Partial instantiations: 0
% 14.07/4.96  #Strategies tried      : 1
% 14.07/4.96  
% 14.07/4.96  Timing (in seconds)
% 14.07/4.96  ----------------------
% 14.07/4.96  Preprocessing        : 1.05
% 14.07/4.96  Parsing              : 0.57
% 14.07/4.96  CNF conversion       : 0.09
% 14.07/4.96  Main loop            : 2.89
% 14.07/4.96  Inferencing          : 0.93
% 14.07/4.96  Reduction            : 1.02
% 14.07/4.96  Demodulation         : 0.67
% 14.07/4.96  BG Simplification    : 0.12
% 14.07/4.96  Subsumption          : 0.55
% 14.07/4.96  Abstraction          : 0.05
% 14.07/4.96  MUC search           : 0.00
% 14.07/4.96  Cooper               : 0.00
% 14.07/4.96  Total                : 4.00
% 14.07/4.96  Index Insertion      : 0.00
% 14.07/4.96  Index Deletion       : 0.00
% 14.07/4.96  Index Matching       : 0.00
% 14.07/4.96  BG Taut test         : 0.00
%------------------------------------------------------------------------------