TSTP Solution File: SWV184+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV184+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 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 : n003.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 11:03:07 EDT 2023

% Result   : Theorem 8.90s 3.10s
% Output   : CNFRefutation 9.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   71
% Syntax   : Number of formulae    :   80 (   6 unt;  70 typ;   0 def)
%            Number of atoms       :   42 (  12 equ)
%            Maximal formula atoms :   27 (   4 avg)
%            Number of connectives :   40 (   8   ~;   6   |;  14   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  160 (  49   >; 111   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   2 prp; 0-2 aty)
%            Number of functors    :   65 (  65 usr;  20 con; 0-8 aty)
%            Number of variables   :   10 (;  10   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ lt > leq > gt > geq > tptp_update3 > tptp_update2 > tptp_const_array2 > sum > a_select3 > uniform_int_rnd > tptp_msub > tptp_mmul > tptp_madd > tptp_const_array1 > plus > minus > dim > a_select2 > #nlpp > trans > succ > pred > inv > use > true > tptp_minus_1 > tptp_float_0_0 > sigmaold_init > rhoold_init > rho_init > q_init > n5 > n4 > n3 > n2 > n135299 > n1 > n0 > muold_init > loopcounter > init > def > center_init > #skF_13 > #skF_24 > #skF_17 > #skF_23 > #skF_6 > #skF_19 > #skF_27 > #skF_21 > #skF_25 > #skF_12 > #skF_18 > #skF_3 > #skF_26 > #skF_20 > #skF_11 > #skF_7 > #skF_9 > #skF_15 > #skF_22 > #skF_14 > #skF_28 > #skF_2 > #skF_8 > #skF_1 > #skF_5 > #skF_4 > #skF_16 > #skF_10

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_13',type,
    '#skF_13': ( $i * $i * $i ) > $i ).

tff('#skF_24',type,
    '#skF_24': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

tff(true,type,
    true: $o ).

tff('#skF_17',type,
    '#skF_17': ( $i * $i * $i * $i ) > $i ).

tff(tptp_const_array2,type,
    tptp_const_array2: ( $i * $i * $i ) > $i ).

tff(n135299,type,
    n135299: $i ).

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

tff('#skF_23',type,
    '#skF_23': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_6',type,
    '#skF_6': ( $i * $i ) > $i ).

tff(tptp_minus_1,type,
    tptp_minus_1: $i ).

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

tff('#skF_19',type,
    '#skF_19': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_27',type,
    '#skF_27': ( $i * $i * $i * $i ) > $i ).

tff('#skF_21',type,
    '#skF_21': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_25',type,
    '#skF_25': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_12',type,
    '#skF_12': ( $i * $i * $i ) > $i ).

tff('#skF_18',type,
    '#skF_18': ( $i * $i * $i * $i ) > $i ).

tff(a_select3,type,
    a_select3: ( $i * $i * $i ) > $i ).

tff(tptp_float_0_0,type,
    tptp_float_0_0: $i ).

tff(a_select2,type,
    a_select2: ( $i * $i ) > $i ).

tff('#skF_3',type,
    '#skF_3': ( $i * $i ) > $i ).

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

tff(tptp_update3,type,
    tptp_update3: ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_26',type,
    '#skF_26': ( $i * $i * $i * $i * $i * $i ) > $i ).

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

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

tff(n1,type,
    n1: $i ).

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

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

tff('#skF_20',type,
    '#skF_20': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

tff(n0,type,
    n0: $i ).

tff('#skF_11',type,
    '#skF_11': ( $i * $i * $i ) > $i ).

tff(tptp_update2,type,
    tptp_update2: ( $i * $i * $i ) > $i ).

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

tff('#skF_7',type,
    '#skF_7': ( $i * $i * $i ) > $i ).

tff(n4,type,
    n4: $i ).

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

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

tff('#skF_9',type,
    '#skF_9': ( $i * $i * $i ) > $i ).

tff(tptp_const_array1,type,
    tptp_const_array1: ( $i * $i ) > $i ).

tff('#skF_15',type,
    '#skF_15': ( $i * $i * $i ) > $i ).

tff('#skF_22',type,
    '#skF_22': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_14',type,
    '#skF_14': ( $i * $i * $i ) > $i ).

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

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

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

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

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

tff('#skF_28',type,
    '#skF_28': $i ).

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

tff('#skF_2',type,
    '#skF_2': ( $i * $i ) > $i ).

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

tff('#skF_8',type,
    '#skF_8': ( $i * $i * $i ) > $i ).

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

tff(n5,type,
    n5: $i ).

tff('#skF_1',type,
    '#skF_1': ( $i * $i ) > $i ).

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

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

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

tff('#skF_5',type,
    '#skF_5': ( $i * $i ) > $i ).

tff('#skF_4',type,
    '#skF_4': ( $i * $i ) > $i ).

tff('#skF_16',type,
    '#skF_16': ( $i * $i * $i ) > $i ).

tff('#skF_10',type,
    '#skF_10': ( $i * $i * $i ) > $i ).

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

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

tff(f_542,negated_conjecture,
    ~ ( ( gt(loopcounter,n1)
        & ! [A] :
            ( ( leq(n0,A)
              & leq(A,n135299) )
           => ! [B] :
                ( ( leq(n0,B)
                  & leq(B,n4) )
               => ( a_select3(q_init,A,B) = init ) ) )
        & ! [C] :
            ( ( leq(n0,C)
              & leq(C,n4) )
           => ( a_select2(rho_init,C) = init ) )
        & ! [D] :
            ( ( leq(n0,D)
              & leq(D,n4) )
           => ( a_select3(center_init,D,n0) = init ) )
        & ( gt(loopcounter,n1)
         => ! [E] :
              ( ( leq(n0,E)
                & leq(E,n4) )
             => ( a_select2(muold_init,E) = init ) ) )
        & ( gt(loopcounter,n1)
         => ! [F] :
              ( ( leq(n0,F)
                & leq(F,n4) )
             => ( a_select2(rhoold_init,F) = init ) ) )
        & ( gt(loopcounter,n1)
         => ! [G] :
              ( ( leq(n0,G)
                & leq(G,n4) )
             => ( a_select2(sigmaold_init,G) = init ) ) ) )
     => ! [H] :
          ( ( leq(n0,H)
            & leq(H,n4) )
         => ( a_select2(sigmaold_init,H) = init ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0096) ).

tff(c_512,plain,
    a_select2(sigmaold_init,'#skF_28') != init,
    inference(cnfTransformation,[status(thm)],[f_542]) ).

tff(c_516,plain,
    leq(n0,'#skF_28'),
    inference(cnfTransformation,[status(thm)],[f_542]) ).

tff(c_514,plain,
    leq('#skF_28',n4),
    inference(cnfTransformation,[status(thm)],[f_542]) ).

tff(c_530,plain,
    gt(loopcounter,n1),
    inference(cnfTransformation,[status(thm)],[f_542]) ).

tff(c_518,plain,
    ! [G_188] :
      ( ( a_select2(sigmaold_init,G_188) = init )
      | ~ leq(G_188,n4)
      | ~ leq(n0,G_188)
      | ~ gt(loopcounter,n1) ),
    inference(cnfTransformation,[status(thm)],[f_542]) ).

tff(c_1839,plain,
    ! [G_237] :
      ( ( a_select2(sigmaold_init,G_237) = init )
      | ~ leq(G_237,n4)
      | ~ leq(n0,G_237) ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_518]) ).

tff(c_1852,plain,
    ( ( a_select2(sigmaold_init,'#skF_28') = init )
    | ~ leq(n0,'#skF_28') ),
    inference(resolution,[status(thm)],[c_514,c_1839]) ).

tff(c_1863,plain,
    a_select2(sigmaold_init,'#skF_28') = init,
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_1852]) ).

tff(c_1865,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_512,c_1863]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem  : SWV184+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.14  % 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 : n003.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 22:54:54 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 8.90/3.10  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.20/3.11  
% 9.20/3.11  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.20/3.13  
% 9.20/3.13  Inference rules
% 9.20/3.13  ----------------------
% 9.20/3.13  #Ref     : 0
% 9.20/3.13  #Sup     : 336
% 9.20/3.13  #Fact    : 0
% 9.20/3.13  #Define  : 0
% 9.20/3.13  #Split   : 1
% 9.20/3.13  #Chain   : 0
% 9.20/3.13  #Close   : 0
% 9.20/3.13  
% 9.20/3.13  Ordering : KBO
% 9.20/3.13  
% 9.20/3.13  Simplification rules
% 9.20/3.13  ----------------------
% 9.20/3.13  #Subsume      : 1
% 9.20/3.13  #Demod        : 201
% 9.20/3.13  #Tautology    : 185
% 9.20/3.13  #SimpNegUnit  : 1
% 9.20/3.13  #BackRed      : 0
% 9.20/3.13  
% 9.20/3.13  #Partial instantiations: 0
% 9.20/3.13  #Strategies tried      : 1
% 9.20/3.13  
% 9.20/3.13  Timing (in seconds)
% 9.20/3.13  ----------------------
% 9.20/3.14  Preprocessing        : 1.07
% 9.20/3.14  Parsing              : 0.41
% 9.20/3.14  CNF conversion       : 0.09
% 9.20/3.14  Main loop            : 0.97
% 9.20/3.14  Inferencing          : 0.19
% 9.20/3.14  Reduction            : 0.40
% 9.20/3.14  Demodulation         : 0.28
% 9.20/3.14  BG Simplification    : 0.12
% 9.20/3.14  Subsumption          : 0.26
% 9.20/3.14  Abstraction          : 0.09
% 9.20/3.14  MUC search           : 0.00
% 9.20/3.14  Cooper               : 0.00
% 9.20/3.14  Total                : 2.08
% 9.20/3.14  Index Insertion      : 0.00
% 9.20/3.14  Index Deletion       : 0.00
% 9.20/3.14  Index Matching       : 0.00
% 9.20/3.14  BG Taut test         : 0.00
%------------------------------------------------------------------------------