TSTP Solution File: SWV132+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV132+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/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 : n007.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 11:02:58 EDT 2023

% Result   : Theorem 5.38s 2.20s
% Output   : CNFRefutation 5.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   67
% Syntax   : Number of formulae    :   72 (   4 unt;  66 typ;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :   26 (   5 avg)
%            Number of connectives :   36 (  10   ~;   1   |;  12   &)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  160 (  49   >; 111   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   2 prp; 0-2 aty)
%            Number of functors    :   61 (  61 usr;  16 con; 0-8 aty)
%            Number of variables   :    0 (;   0   !;   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_001 > tptp_float_0_0 > s_worst7 > s_sworst7 > s_best7 > pv1341 > n5 > n4 > n3 > n2 > n1 > n0 > loopcounter > def > #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_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(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(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('#skF_19',type,
    '#skF_19': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(tptp_float_0_001,type,
    tptp_float_0_001: $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('#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(n0,type,
    n0: $i ).

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

tff(s_worst7,type,
    s_worst7: $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('#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(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(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(s_best7,type,
    s_best7: $i ).

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

tff(s_sworst7,type,
    s_sworst7: $i ).

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

tff(pv1341,type,
    pv1341: $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_539,negated_conjecture,
    ~ ( ( ~ leq(tptp_float_0_001,pv1341)
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_best7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_sworst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_worst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_best7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_sworst7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_worst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_best7) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_sworst7) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_worst7) )
        & ( gt(loopcounter,n0)
         => leq(s_best7,n3) )
        & ( gt(loopcounter,n0)
         => leq(s_sworst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(s_worst7,n3) ) )
     => leq(s_best7,n3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_array_0002) ).

tff(c_538,plain,
    ~ leq(tptp_float_0_001,pv1341),
    inference(cnfTransformation,[status(thm)],[f_539]) ).

tff(c_530,plain,
    ( leq(s_best7,n3)
    | leq(tptp_float_0_001,pv1341) ),
    inference(cnfTransformation,[status(thm)],[f_539]) ).

tff(c_611,plain,
    leq(s_best7,n3),
    inference(negUnitSimplification,[status(thm)],[c_538,c_530]) ).

tff(c_512,plain,
    ~ leq(s_best7,n3),
    inference(cnfTransformation,[status(thm)],[f_539]) ).

tff(c_621,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_611,c_512]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SWV132+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.15  % 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 : n007.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
% 0.14/0.37  % DateTime : Thu Aug  3 23:03:39 EDT 2023
% 0.14/0.37  % CPUTime  : 
% 5.38/2.20  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.39/2.20  
% 5.39/2.20  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.39/2.23  
% 5.39/2.23  Inference rules
% 5.39/2.23  ----------------------
% 5.39/2.23  #Ref     : 0
% 5.39/2.23  #Sup     : 0
% 5.39/2.23  #Fact    : 0
% 5.39/2.23  #Define  : 0
% 5.39/2.23  #Split   : 0
% 5.39/2.23  #Chain   : 0
% 5.39/2.23  #Close   : 0
% 5.39/2.23  
% 5.39/2.23  Ordering : KBO
% 5.39/2.23  
% 5.39/2.23  Simplification rules
% 5.39/2.23  ----------------------
% 5.39/2.23  #Subsume      : 294
% 5.39/2.23  #Demod        : 16
% 5.39/2.23  #Tautology    : 6
% 5.39/2.23  #SimpNegUnit  : 6
% 5.39/2.23  #BackRed      : 0
% 5.39/2.23  
% 5.39/2.23  #Partial instantiations: 0
% 5.39/2.23  #Strategies tried      : 1
% 5.39/2.23  
% 5.39/2.23  Timing (in seconds)
% 5.39/2.23  ----------------------
% 5.39/2.23  Preprocessing        : 0.92
% 5.39/2.23  Parsing              : 0.37
% 5.39/2.23  CNF conversion       : 0.07
% 5.39/2.23  Main loop            : 0.14
% 5.39/2.23  Inferencing          : 0.00
% 5.39/2.23  Reduction            : 0.07
% 5.39/2.23  Demodulation         : 0.05
% 5.39/2.23  BG Simplification    : 0.11
% 5.39/2.23  Subsumption          : 0.05
% 5.39/2.23  Abstraction          : 0.06
% 5.39/2.23  MUC search           : 0.00
% 5.39/2.23  Cooper               : 0.00
% 5.39/2.23  Total                : 1.11
% 5.39/2.23  Index Insertion      : 0.00
% 5.39/2.23  Index Deletion       : 0.00
% 5.39/2.23  Index Matching       : 0.00
% 5.39/2.23  BG Taut test         : 0.00
%------------------------------------------------------------------------------