TSTP Solution File: SWV157+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV157+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n009.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 : Thu Aug 31 21:36:48 EDT 2023

% Result   : Theorem 0.53s 0.67s
% Output   : CNFRefutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   82
% Syntax   : Number of formulae    :  103 (  12 unt;  78 typ;   0 def)
%            Number of atoms       :   85 (  28 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :   86 (  26   ~;  18   |;  30   &)
%                                         (   1 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  150 (  54   >;  96   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   2 prp; 0-4 aty)
%            Number of functors    :   72 (  72 usr;  23 con; 0-7 aty)
%            Number of variables   :   28 (   0 sgn;  18   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    gt: ( $i * $i ) > $o ).

tff(decl_23,type,
    leq: ( $i * $i ) > $o ).

tff(decl_24,type,
    lt: ( $i * $i ) > $o ).

tff(decl_25,type,
    geq: ( $i * $i ) > $o ).

tff(decl_26,type,
    pred: $i > $i ).

tff(decl_27,type,
    succ: $i > $i ).

tff(decl_28,type,
    n0: $i ).

tff(decl_29,type,
    uniform_int_rnd: ( $i * $i ) > $i ).

tff(decl_30,type,
    dim: ( $i * $i ) > $i ).

tff(decl_31,type,
    tptp_const_array1: ( $i * $i ) > $i ).

tff(decl_32,type,
    a_select2: ( $i * $i ) > $i ).

tff(decl_33,type,
    tptp_const_array2: ( $i * $i * $i ) > $i ).

tff(decl_34,type,
    a_select3: ( $i * $i * $i ) > $i ).

tff(decl_35,type,
    trans: $i > $i ).

tff(decl_36,type,
    inv: $i > $i ).

tff(decl_37,type,
    tptp_update3: ( $i * $i * $i * $i ) > $i ).

tff(decl_38,type,
    tptp_madd: ( $i * $i ) > $i ).

tff(decl_39,type,
    tptp_msub: ( $i * $i ) > $i ).

tff(decl_40,type,
    tptp_mmul: ( $i * $i ) > $i ).

tff(decl_41,type,
    tptp_minus_1: $i ).

tff(decl_42,type,
    sum: ( $i * $i * $i ) > $i ).

tff(decl_43,type,
    tptp_float_0_0: $i ).

tff(decl_44,type,
    n1: $i ).

tff(decl_45,type,
    plus: ( $i * $i ) > $i ).

tff(decl_46,type,
    n2: $i ).

tff(decl_47,type,
    n3: $i ).

tff(decl_48,type,
    n4: $i ).

tff(decl_49,type,
    n5: $i ).

tff(decl_50,type,
    minus: ( $i * $i ) > $i ).

tff(decl_51,type,
    tptp_update2: ( $i * $i * $i ) > $i ).

tff(decl_52,type,
    true: $o ).

tff(decl_53,type,
    def: $i ).

tff(decl_54,type,
    use: $i ).

tff(decl_55,type,
    pv84: $i ).

tff(decl_56,type,
    x: $i ).

tff(decl_57,type,
    pv10: $i ).

tff(decl_58,type,
    mu: $i ).

tff(decl_59,type,
    tptp_sum_index: $i ).

tff(decl_60,type,
    times: ( $i * $i ) > $i ).

tff(decl_61,type,
    tptp_minus_2: $i ).

tff(decl_62,type,
    divide: ( $i * $i ) > $i ).

tff(decl_63,type,
    sigma: $i ).

tff(decl_64,type,
    exp: $i > $i ).

tff(decl_65,type,
    rho: $i ).

tff(decl_66,type,
    tptp_pi: $i ).

tff(decl_67,type,
    sqrt: $i > $i ).

tff(decl_68,type,
    pv47: $i ).

tff(decl_69,type,
    n135299: $i ).

tff(decl_70,type,
    q: $i ).

tff(decl_71,type,
    epred1_4: ( $i * $i * $i * $i ) > $o ).

tff(decl_72,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_73,type,
    esk2_2: ( $i * $i ) > $i ).

tff(decl_74,type,
    esk3_2: ( $i * $i ) > $i ).

tff(decl_75,type,
    esk4_2: ( $i * $i ) > $i ).

tff(decl_76,type,
    esk5_2: ( $i * $i ) > $i ).

tff(decl_77,type,
    esk6_2: ( $i * $i ) > $i ).

tff(decl_78,type,
    esk7_3: ( $i * $i * $i ) > $i ).

tff(decl_79,type,
    esk8_3: ( $i * $i * $i ) > $i ).

tff(decl_80,type,
    esk9_3: ( $i * $i * $i ) > $i ).

tff(decl_81,type,
    esk10_3: ( $i * $i * $i ) > $i ).

tff(decl_82,type,
    esk11_3: ( $i * $i * $i ) > $i ).

tff(decl_83,type,
    esk12_3: ( $i * $i * $i ) > $i ).

tff(decl_84,type,
    esk13_3: ( $i * $i * $i ) > $i ).

tff(decl_85,type,
    esk14_3: ( $i * $i * $i ) > $i ).

tff(decl_86,type,
    esk15_3: ( $i * $i * $i ) > $i ).

tff(decl_87,type,
    esk16_3: ( $i * $i * $i ) > $i ).

tff(decl_88,type,
    esk17_3: ( $i * $i * $i ) > $i ).

tff(decl_89,type,
    esk18_3: ( $i * $i * $i ) > $i ).

tff(decl_90,type,
    esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_91,type,
    esk20_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_92,type,
    esk21_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_93,type,
    esk22_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_94,type,
    esk23_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_95,type,
    esk24_0: $i ).

tff(decl_96,type,
    esk25_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_97,type,
    esk26_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_98,type,
    esk27_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_99,type,
    esk28_4: ( $i * $i * $i * $i ) > $i ).

fof(cl5_nebula_norm_0007,conjecture,
    ( ( pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))
      & leq(n0,pv10)
      & leq(n0,pv47)
      & leq(pv10,n135299)
      & leq(pv47,n4)
      & ! [X14] :
          ( ( leq(n0,X14)
            & leq(X14,pred(pv47)) )
         => a_select3(q,pv10,X14) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X14)),minus(a_select2(x,pv10),a_select2(mu,X14))),tptp_minus_2),times(a_select2(sigma,X14),a_select2(sigma,X14)))),a_select2(rho,X14)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X14))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) )
      & ! [X18] :
          ( ( leq(n0,X18)
            & leq(X18,pred(pv10)) )
         => sum(n0,n4,a_select3(q,X18,tptp_sum_index)) = n1 ) )
   => ! [X4] :
        ( ( leq(n0,X4)
          & leq(X4,pv47) )
       => ( pv47 != X4
         => a_select3(q,pv10,X4) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X4)),minus(a_select2(x,pv10),a_select2(mu,X4))),tptp_minus_2),times(a_select2(sigma,X4),a_select2(sigma,X4)))),a_select2(rho,X4)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X4))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0007) ).

fof(pred_minus_1,axiom,
    ! [X1] : minus(X1,n1) = pred(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).

fof(leq_gt_pred,axiom,
    ! [X1,X2] :
      ( leq(X1,pred(X2))
    <=> gt(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).

fof(leq_gt2,axiom,
    ! [X1,X2] :
      ( ( leq(X1,X2)
        & X1 != X2 )
     => gt(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).

fof(c_0_4,negated_conjecture,
    ~ ( ( pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))
        & leq(n0,pv10)
        & leq(n0,pv47)
        & leq(pv10,n135299)
        & leq(pv47,n4)
        & ! [X14] :
            ( ( leq(n0,X14)
              & leq(X14,pred(pv47)) )
           => a_select3(q,pv10,X14) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X14)),minus(a_select2(x,pv10),a_select2(mu,X14))),tptp_minus_2),times(a_select2(sigma,X14),a_select2(sigma,X14)))),a_select2(rho,X14)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X14))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) )
        & ! [X18] :
            ( ( leq(n0,X18)
              & leq(X18,pred(pv10)) )
           => sum(n0,n4,a_select3(q,X18,tptp_sum_index)) = n1 ) )
     => ! [X4] :
          ( ( leq(n0,X4)
            & leq(X4,pv47) )
         => ( pv47 != X4
           => a_select3(q,pv10,X4) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X4)),minus(a_select2(x,pv10),a_select2(mu,X4))),tptp_minus_2),times(a_select2(sigma,X4),a_select2(sigma,X4)))),a_select2(rho,X4)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X4))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ) ) ),
    inference(assume_negation,[status(cth)],[cl5_nebula_norm_0007]) ).

fof(c_0_5,negated_conjecture,
    ! [X186,X187] :
      ( pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))
      & leq(n0,pv10)
      & leq(n0,pv47)
      & leq(pv10,n135299)
      & leq(pv47,n4)
      & ( ~ leq(n0,X186)
        | ~ leq(X186,pred(pv47))
        | a_select3(q,pv10,X186) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X186)),minus(a_select2(x,pv10),a_select2(mu,X186))),tptp_minus_2),times(a_select2(sigma,X186),a_select2(sigma,X186)))),a_select2(rho,X186)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X186))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) )
      & ( ~ leq(n0,X187)
        | ~ leq(X187,pred(pv10))
        | sum(n0,n4,a_select3(q,X187,tptp_sum_index)) = n1 )
      & leq(n0,esk24_0)
      & leq(esk24_0,pv47)
      & pv47 != esk24_0
      & a_select3(q,pv10,esk24_0) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,esk24_0)),minus(a_select2(x,pv10),a_select2(mu,esk24_0))),tptp_minus_2),times(a_select2(sigma,esk24_0),a_select2(sigma,esk24_0)))),a_select2(rho,esk24_0)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,esk24_0))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).

fof(c_0_6,plain,
    ! [X145] : minus(X145,n1) = pred(X145),
    inference(variable_rename,[status(thm)],[pred_minus_1]) ).

cnf(c_0_7,negated_conjecture,
    ( a_select3(q,pv10,X1) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X1)),minus(a_select2(x,pv10),a_select2(mu,X1))),tptp_minus_2),times(a_select2(sigma,X1),a_select2(sigma,X1)))),a_select2(rho,X1)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X1))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))
    | ~ leq(n0,X1)
    | ~ leq(X1,pred(pv47)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    minus(X1,n1) = pred(X1),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    a_select3(q,pv10,esk24_0) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,esk24_0)),minus(a_select2(x,pv10),a_select2(mu,esk24_0))),tptp_minus_2),times(a_select2(sigma,esk24_0),a_select2(sigma,esk24_0)))),a_select2(rho,esk24_0)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,esk24_0))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,negated_conjecture,
    ( a_select3(q,pv10,X1) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X1)),minus(a_select2(x,pv10),a_select2(mu,X1))),tptp_minus_2),times(a_select2(sigma,X1),a_select2(sigma,X1)))),a_select2(rho,X1)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X1))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))
    | ~ leq(n0,X1)
    | ~ leq(X1,minus(pv47,n1)) ),
    inference(rw,[status(thm)],[c_0_7,c_0_8]) ).

fof(c_0_12,plain,
    ! [X46,X47] :
      ( ( ~ leq(X46,pred(X47))
        | gt(X47,X46) )
      & ( ~ gt(X47,X46)
        | leq(X46,pred(X47)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt_pred])]) ).

fof(c_0_13,plain,
    ! [X44,X45] :
      ( ~ leq(X44,X45)
      | X44 = X45
      | gt(X45,X44) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt2])]) ).

cnf(c_0_14,negated_conjecture,
    divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,esk24_0)),minus(a_select2(x,pv10),a_select2(mu,esk24_0))),tptp_minus_2),times(a_select2(sigma,esk24_0),a_select2(sigma,esk24_0)))),a_select2(rho,esk24_0)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,esk24_0))),pv84) != a_select3(q,pv10,esk24_0),
    inference(rw,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    ( divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X1)),minus(a_select2(x,pv10),a_select2(mu,X1))),tptp_minus_2),times(a_select2(sigma,X1),a_select2(sigma,X1)))),a_select2(rho,X1)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X1))),pv84) = a_select3(q,pv10,X1)
    | ~ leq(X1,minus(pv47,n1))
    | ~ leq(n0,X1) ),
    inference(rw,[status(thm)],[c_0_11,c_0_10]) ).

cnf(c_0_16,negated_conjecture,
    leq(n0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_17,plain,
    ( leq(X2,pred(X1))
    | ~ gt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,plain,
    ( X1 = X2
    | gt(X2,X1)
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    leq(esk24_0,pv47),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_20,negated_conjecture,
    pv47 != esk24_0,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_21,negated_conjecture,
    ~ leq(esk24_0,minus(pv47,n1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).

cnf(c_0_22,plain,
    ( leq(X2,minus(X1,n1))
    | ~ gt(X1,X2) ),
    inference(rw,[status(thm)],[c_0_17,c_0_8]) ).

cnf(c_0_23,negated_conjecture,
    gt(pv47,esk24_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).

cnf(c_0_24,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV157+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32  % Computer : n009.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Aug 29 07:14:35 EDT 2023
% 0.12/0.32  % CPUTime  : 
% 0.48/0.59  start to proof: theBenchmark
% 0.53/0.67  % Version  : CSE_E---1.5
% 0.53/0.67  % Problem  : theBenchmark.p
% 0.53/0.67  % Proof found
% 0.53/0.67  % SZS status Theorem for theBenchmark.p
% 0.53/0.67  % SZS output start Proof
% See solution above
% 0.63/0.68  % Total time : 0.072000 s
% 0.63/0.68  % SZS output end Proof
% 0.63/0.68  % Total time : 0.077000 s
%------------------------------------------------------------------------------