TSTP Solution File: SYN122-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN122-1 : 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 : 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 11:09:40 EDT 2023

% Result   : Unsatisfiable 30.65s 17.15s
% Output   : CNFRefutation 30.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   62
% Syntax   : Number of formulae    :   85 (  19 unt;  53 typ;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   54 (  29   ~;  25   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 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   :   40 (;  40   !;   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_77,axiom,
    n0(e,e),
    file(unknown,unknown) ).

tff(f_70,axiom,
    m0(a,e,e),
    file(unknown,unknown) ).

tff(f_59,axiom,
    ! [X] : p0(b,X),
    file(unknown,unknown) ).

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

tff(f_1081,axiom,
    ! [F,G,H] :
      ( s1(F)
      | ~ q0(F,G)
      | ~ s1(H) ),
    file(unknown,unknown) ).

tff(f_1073,axiom,
    ! [I] :
      ( s1(I)
      | ~ p0(I,I) ),
    file(unknown,unknown) ).

tff(f_1141,axiom,
    ! [J,A,B,C] :
      ( l2(J,J)
      | ~ p0(A,A)
      | ~ s1(B)
      | ~ m0(C,B,J) ),
    file(unknown,unknown) ).

tff(f_1123,axiom,
    ! [D,E] :
      ( l2(D,E)
      | ~ s1(D)
      | ~ n0(e,E)
      | ~ l2(E,E) ),
    file(unknown,unknown) ).

tff(f_2764,axiom,
    ~ l2(b,e),
    file(unknown,unknown) ).

tff(c_60,plain,
    n0(e,e),
    inference(cnfTransformation,[status(thm)],[f_77]) ).

tff(c_46,plain,
    m0(a,e,e),
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_28,plain,
    ! [X_2] : p0(b,X_2),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

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

tff(c_328,plain,
    ! [H_236,F_234,G_235] :
      ( ~ s1(H_236)
      | ~ q0(F_234,G_235)
      | s1(F_234) ),
    inference(cnfTransformation,[status(thm)],[f_1081]) ).

tff(c_48120,plain,
    ! [H_236] : ~ s1(H_236),
    inference(splitLeft,[status(thm)],[c_328]) ).

tff(c_1416,plain,
    ! [I_755] :
      ( ~ p0(I_755,I_755)
      | s1(I_755) ),
    inference(cnfTransformation,[status(thm)],[f_1073]) ).

tff(c_1421,plain,
    s1(b),
    inference(resolution,[status(thm)],[c_28,c_1416]) ).

tff(c_48124,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_48120,c_1421]) ).

tff(c_48128,plain,
    ! [F_6814,G_6815] :
      ( ~ q0(F_6814,G_6815)
      | s1(F_6814) ),
    inference(splitRight,[status(thm)],[c_328]) ).

tff(c_48151,plain,
    ! [X_3] : s1(X_3),
    inference(resolution,[status(thm)],[c_34,c_48128]) ).

tff(c_342,plain,
    ! [C_249,B_248,J_246,A_247] :
      ( ~ m0(C_249,B_248,J_246)
      | ~ s1(B_248)
      | ~ p0(A_247,A_247)
      | l2(J_246,J_246) ),
    inference(cnfTransformation,[status(thm)],[f_1141]) ).

tff(c_75696,plain,
    ! [C_249,B_248,J_246,A_247] :
      ( ~ m0(C_249,B_248,J_246)
      | ~ p0(A_247,A_247)
      | l2(J_246,J_246) ),
    inference(demodulation,[status(thm),theory(equality)],[c_48151,c_342]) ).

tff(c_75698,plain,
    ! [A_9938] : ~ p0(A_9938,A_9938),
    inference(splitLeft,[status(thm)],[c_75696]) ).

tff(c_75703,plain,
    $false,
    inference(resolution,[status(thm)],[c_28,c_75698]) ).

tff(c_75705,plain,
    ! [C_9939,B_9940,J_9941] :
      ( ~ m0(C_9939,B_9940,J_9941)
      | l2(J_9941,J_9941) ),
    inference(splitRight,[status(thm)],[c_75696]) ).

tff(c_75722,plain,
    l2(e,e),
    inference(resolution,[status(thm)],[c_46,c_75705]) ).

tff(c_338,plain,
    ! [E_245,D_244] :
      ( ~ l2(E_245,E_245)
      | ~ n0(e,E_245)
      | ~ s1(D_244)
      | l2(D_244,E_245) ),
    inference(cnfTransformation,[status(thm)],[f_1123]) ).

tff(c_75289,plain,
    ! [E_245,D_244] :
      ( ~ l2(E_245,E_245)
      | ~ n0(e,E_245)
      | l2(D_244,E_245) ),
    inference(demodulation,[status(thm),theory(equality)],[c_48151,c_338]) ).

tff(c_75731,plain,
    ! [D_244] :
      ( ~ n0(e,e)
      | l2(D_244,e) ),
    inference(resolution,[status(thm)],[c_75722,c_75289]) ).

tff(c_75734,plain,
    ! [D_244] : l2(D_244,e),
    inference(demodulation,[status(thm),theory(equality)],[c_60,c_75731]) ).

tff(c_738,plain,
    ~ l2(b,e),
    inference(cnfTransformation,[status(thm)],[f_2764]) ).

tff(c_75752,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_75734,c_738]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN122-1 : TPTP v8.1.2. Released v1.1.0.
% 0.08/0.14  % 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
% 0.15/0.36  % Computer : n023.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 17:32:07 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 30.65/17.15  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.65/17.15  
% 30.65/17.15  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 30.65/17.18  
% 30.65/17.18  Inference rules
% 30.65/17.18  ----------------------
% 30.65/17.18  #Ref     : 0
% 30.65/17.18  #Sup     : 13042
% 30.65/17.18  #Fact    : 0
% 30.65/17.18  #Define  : 0
% 30.65/17.18  #Split   : 1376
% 30.65/17.18  #Chain   : 0
% 30.65/17.18  #Close   : 0
% 30.65/17.18  
% 30.65/17.18  Ordering : KBO
% 30.65/17.18  
% 30.65/17.18  Simplification rules
% 30.65/17.18  ----------------------
% 30.65/17.18  #Subsume      : 3800
% 30.65/17.18  #Demod        : 14867
% 30.65/17.18  #Tautology    : 9934
% 30.65/17.18  #SimpNegUnit  : 920
% 30.65/17.18  #BackRed      : 986
% 30.65/17.18  
% 30.65/17.18  #Partial instantiations: 0
% 30.65/17.18  #Strategies tried      : 1
% 30.65/17.18  
% 30.65/17.18  Timing (in seconds)
% 30.65/17.18  ----------------------
% 30.65/17.19  Preprocessing        : 1.06
% 30.65/17.19  Parsing              : 0.57
% 30.65/17.19  CNF conversion       : 0.09
% 30.65/17.19  Main loop            : 15.08
% 30.65/17.19  Inferencing          : 4.93
% 30.65/17.19  Reduction            : 5.68
% 30.65/17.19  Demodulation         : 3.78
% 30.65/17.19  BG Simplification    : 0.16
% 30.65/17.19  Subsumption          : 3.12
% 30.65/17.19  Abstraction          : 0.14
% 30.65/17.19  MUC search           : 0.00
% 30.65/17.19  Cooper               : 0.00
% 30.65/17.19  Total                : 16.18
% 30.65/17.19  Index Insertion      : 0.00
% 30.65/17.19  Index Deletion       : 0.00
% 30.65/17.19  Index Matching       : 0.00
% 30.65/17.19  BG Taut test         : 0.00
%------------------------------------------------------------------------------