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LEO-II---2.3.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : ITP055^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 10:23:52 AM UTC 2026

% Result   : Theorem 2.42s 0.63s
% Output   : CNFRefutation 2.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   41 (  28 unt;   0 typ;   0 def)
%            Number of atoms       :  172 (  49 equ;   0 cnn)
%            Maximal formula atoms :    3 (   4 avg)
%            Number of connectives :  274 (  21   ~;  29   |;   0   &; 212   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :   15 (  14 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   61 (  58 usr;  16 con; 0-4 aty)
%            Number of variables   :   60 (   0   ^;  60   !;   0   ?;  60   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_config256849571t_unit,type,
    config256849571t_unit: $tType ).

thf(tp_int,type,
    int: $tType ).

thf(tp_list_c1059388851t_unit,type,
    list_c1059388851t_unit: $tType ).

thf(tp_list_l1341496881ge_p_v,type,
    list_l1341496881ge_p_v: $tType ).

thf(tp_list_l1584713811t_unit,type,
    list_l1584713811t_unit: $tType ).

thf(tp_list_l1619404459ge_p_v,type,
    list_l1619404459ge_p_v: $tType ).

thf(tp_list_l611321411t_unit,type,
    list_l611321411t_unit: $tType ).

thf(tp_list_message_p_v,type,
    list_message_p_v: $tType ).

thf(tp_messageValue_v,type,
    messageValue_v: $tType ).

thf(tp_message_p_v,type,
    message_p_v: $tType ).

thf(tp_nat,type,
    nat: $tType ).

thf(tp_p,type,
    p: $tType ).

thf(tp_s,type,
    s: $tType ).

thf(tp_set_nat,type,
    set_nat: $tType ).

thf(tp_cfg,type,
    cfg: config256849571t_unit ).

thf(tp_collect_nat,type,
    collect_nat: ( nat > $o ) > set_nat ).

thf(tp_cons_c1162654829t_unit,type,
    cons_c1162654829t_unit: config256849571t_unit > list_c1059388851t_unit > list_c1059388851t_unit ).

thf(tp_cons_l1083444861t_unit,type,
    cons_l1083444861t_unit: list_c1059388851t_unit > list_l611321411t_unit > list_l611321411t_unit ).

thf(tp_cons_l1383421281ge_p_v,type,
    cons_l1383421281ge_p_v: list_l1619404459ge_p_v > list_l1341496881ge_p_v > list_l1341496881ge_p_v ).

thf(tp_cons_l1777019405t_unit,type,
    cons_l1777019405t_unit: list_l611321411t_unit > list_l1584713811t_unit > list_l1584713811t_unit ).

thf(tp_cons_l233104475ge_p_v,type,
    cons_l233104475ge_p_v: list_message_p_v > list_l1619404459ge_p_v > list_l1619404459ge_p_v ).

thf(tp_cons_message_p_v,type,
    cons_message_p_v: message_p_v > list_message_p_v > list_message_p_v ).

thf(tp_fLPThe1519354920_p_v_s,type,
    fLPThe1519354920_p_v_s: config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > list_c1059388851t_unit ).

thf(tp_fLPThe536531371_p_v_s,type,
    fLPThe536531371_p_v_s: config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > list_message_p_v ).

thf(tp_fLPThe9398366_p_s_v,type,
    fLPThe9398366_p_s_v: ( p > s > messageValue_v > s ) > ( p > s > messageValue_v > message_p_v > nat ) > ( p > s ) > $o ).

thf(tp_fe,type,
    fe: nat > list_c1059388851t_unit ).

thf(tp_gen_le193291088t_unit,type,
    gen_le193291088t_unit: nat > list_c1059388851t_unit > nat ).

thf(tp_gen_le697204914ge_p_v,type,
    gen_le697204914ge_p_v: nat > list_message_p_v > nat ).

thf(tp_insert1308755079t_unit,type,
    insert1308755079t_unit: config256849571t_unit > list_c1059388851t_unit > list_c1059388851t_unit ).

thf(tp_insert_message_p_v,type,
    insert_message_p_v: message_p_v > list_message_p_v > list_message_p_v ).

thf(tp_list_e1598815642t_unit,type,
    list_e1598815642t_unit: ( config256849571t_unit > $o ) > list_c1059388851t_unit > $o ).

thf(tp_list_ex1_message_p_v,type,
    list_ex1_message_p_v: ( message_p_v > $o ) > list_message_p_v > $o ).

thf(tp_m,type,
    m: nat ).

thf(tp_member_nat,type,
    member_nat: nat > set_nat > $o ).

thf(tp_n,type,
    n: nat ).

thf(tp_n_list1987762709t_unit,type,
    n_list1987762709t_unit: nat > list_c1059388851t_unit > list_l611321411t_unit ).

thf(tp_n_lists_message_p_v,type,
    n_lists_message_p_v: nat > list_message_p_v > list_l1619404459ge_p_v ).

thf(tp_na,type,
    na: nat ).

thf(tp_nat2,type,
    nat2: int > nat ).

thf(tp_nil_co1338500125t_unit,type,
    nil_co1338500125t_unit: list_c1059388851t_unit ).

thf(tp_nil_li2108369341t_unit,type,
    nil_li2108369341t_unit: list_l1584713811t_unit ).

thf(tp_nil_li307996205t_unit,type,
    nil_li307996205t_unit: list_l611321411t_unit ).

thf(tp_nil_li835338673ge_p_v,type,
    nil_li835338673ge_p_v: list_l1341496881ge_p_v ).

thf(tp_nil_list_message_p_v,type,
    nil_list_message_p_v: list_l1619404459ge_p_v ).

thf(tp_nil_message_p_v,type,
    nil_message_p_v: list_message_p_v ).

thf(tp_nths_c890550943t_unit,type,
    nths_c890550943t_unit: list_c1059388851t_unit > set_nat > list_c1059388851t_unit ).

thf(tp_nths_message_p_v,type,
    nths_message_p_v: list_message_p_v > set_nat > list_message_p_v ).

thf(tp_one_one_int,type,
    one_one_int: int ).

thf(tp_one_one_nat,type,
    one_one_nat: nat ).

thf(tp_ord_less_eq_int,type,
    ord_less_eq_int: int > int > $o ).

thf(tp_ord_less_eq_nat,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(tp_ord_less_int,type,
    ord_less_int: int > int > $o ).

thf(tp_ord_less_nat,type,
    ord_less_nat: nat > nat > $o ).

thf(tp_prefix1465223476ge_p_v,type,
    prefix1465223476ge_p_v: list_l1619404459ge_p_v > list_l1619404459ge_p_v > $o ).

thf(tp_prefix1615116500t_unit,type,
    prefix1615116500t_unit: list_c1059388851t_unit > list_c1059388851t_unit > $o ).

thf(tp_prefix47729710ge_p_v,type,
    prefix47729710ge_p_v: list_message_p_v > list_message_p_v > $o ).

thf(tp_prefix747844452t_unit,type,
    prefix747844452t_unit: list_l611321411t_unit > list_l611321411t_unit > $o ).

thf(tp_produc1505827982ge_p_v,type,
    produc1505827982ge_p_v: list_l1619404459ge_p_v > list_l1619404459ge_p_v ).

thf(tp_produc663212148t_unit,type,
    produc663212148t_unit: list_l611321411t_unit > list_l611321411t_unit ).

thf(tp_ring_1_of_int_int,type,
    ring_1_of_int_int: int > int ).

thf(tp_semiri1382578993at_nat,type,
    semiri1382578993at_nat: nat > nat ).

thf(tp_semiri2019852685at_int,type,
    semiri2019852685at_int: nat > int ).

thf(tp_size_s1168481041ge_p_v,type,
    size_s1168481041ge_p_v: list_message_p_v > nat ).

thf(tp_size_s1406904903t_unit,type,
    size_s1406904903t_unit: list_c1059388851t_unit > nat ).

thf(tp_size_s1809856791ge_p_v,type,
    size_s1809856791ge_p_v: list_l1619404459ge_p_v > nat ).

thf(tp_size_s503142615t_unit,type,
    size_s503142615t_unit: list_l611321411t_unit > nat ).

thf(tp_subseq1144048270t_unit,type,
    subseq1144048270t_unit: list_c1059388851t_unit > list_l611321411t_unit ).

thf(tp_subseqs_message_p_v,type,
    subseqs_message_p_v: list_message_p_v > list_l1619404459ge_p_v ).

thf(tp_suc,type,
    suc: nat > nat ).

thf(tp_uminus_uminus_int,type,
    uminus_uminus_int: int > int ).

thf(tp_zero_zero_int,type,
    zero_zero_int: int ).

thf(tp_zero_zero_nat,type,
    zero_zero_nat: nat ).

thf(330,axiom,
    ! [Xa: list_c1059388851t_unit,Xb: list_c1059388851t_unit,X: config256849571t_unit] :
      ( ( prefix1615116500t_unit @ Xa @ Xb )
     => ( prefix1615116500t_unit @ ( cons_c1162654829t_unit @ X @ Xa ) @ ( cons_c1162654829t_unit @ X @ Xb ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_prefixList_Ointros_I2_J) ).

thf(335,axiom,
    ! [L1: list_c1059388851t_unit,L2: list_c1059388851t_unit,L3: list_c1059388851t_unit] :
      ( ( prefix1615116500t_unit @ L1 @ L2 )
     => ( ( prefix1615116500t_unit @ L2 @ L3 )
       => ( prefix1615116500t_unit @ L1 @ L3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_PrefixListTransitive) ).

thf(338,axiom,
    ( ( m = na )
    | ( ord_less_nat @ m @ na ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3__092_060open_062m_A_061_An_A_092_060or_062_Am_A_060_An_092_060close_062) ).

thf(339,axiom,
    ( ( ord_less_nat @ m @ na )
   => ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_IA_I1_J) ).

thf(341,axiom,
    ord_less_nat @ m @ na,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062m_A_060_An_092_060close_062) ).

thf(342,conjecture,
    prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(343,negated_conjecture,
    ( ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[342]) ).

thf(344,plain,
    ( ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) )
    = $false ),
    inference(unfold_def,[status(thm)],[343]) ).

thf(345,plain,
    ( ( ! [Xa: list_c1059388851t_unit,Xb: list_c1059388851t_unit,X: config256849571t_unit] :
          ( ( prefix1615116500t_unit @ Xa @ Xb )
         => ( prefix1615116500t_unit @ ( cons_c1162654829t_unit @ X @ Xa ) @ ( cons_c1162654829t_unit @ X @ Xb ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[330]) ).

thf(346,plain,
    ( ( ! [L1: list_c1059388851t_unit,L2: list_c1059388851t_unit,L3: list_c1059388851t_unit] :
          ( ( prefix1615116500t_unit @ L1 @ L2 )
         => ( ( prefix1615116500t_unit @ L2 @ L3 )
           => ( prefix1615116500t_unit @ L1 @ L3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[335]) ).

thf(347,plain,
    ( ( ( m = na )
      | ( ord_less_nat @ m @ na ) )
    = $true ),
    inference(unfold_def,[status(thm)],[338]) ).

thf(348,plain,
    ( ( ( ord_less_nat @ m @ na )
     => ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[339]) ).

thf(349,plain,
    ( ( ord_less_nat @ m @ na )
    = $true ),
    inference(unfold_def,[status(thm)],[341]) ).

thf(350,plain,
    ( ( ~ ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[344]) ).

thf(351,plain,
    ( ( ord_less_nat @ m @ na )
    = $true ),
    inference(copy,[status(thm)],[349]) ).

thf(352,plain,
    ( ( ( ord_less_nat @ m @ na )
     => ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) ) )
    = $true ),
    inference(copy,[status(thm)],[348]) ).

thf(353,plain,
    ( ( ( m = na )
      | ( ord_less_nat @ m @ na ) )
    = $true ),
    inference(copy,[status(thm)],[347]) ).

thf(354,plain,
    ( ( ! [L1: list_c1059388851t_unit,L2: list_c1059388851t_unit,L3: list_c1059388851t_unit] :
          ( ( prefix1615116500t_unit @ L1 @ L2 )
         => ( ( prefix1615116500t_unit @ L2 @ L3 )
           => ( prefix1615116500t_unit @ L1 @ L3 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[346]) ).

thf(355,plain,
    ( ( ! [Xa: list_c1059388851t_unit,Xb: list_c1059388851t_unit,X: config256849571t_unit] :
          ( ( prefix1615116500t_unit @ Xa @ Xb )
         => ( prefix1615116500t_unit @ ( cons_c1162654829t_unit @ X @ Xa ) @ ( cons_c1162654829t_unit @ X @ Xb ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[345]) ).

thf(356,plain,
    ( ( ~ ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) ) )
    = $true ),
    inference(copy,[status(thm)],[350]) ).

thf(357,plain,
    ( ( ~ ( ord_less_nat @ m @ na )
      | ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[352]) ).

thf(358,plain,
    ( ( ! [SX0: list_c1059388851t_unit,SX1: list_c1059388851t_unit,SX2: config256849571t_unit] :
          ( ~ ( prefix1615116500t_unit @ SX0 @ SX1 )
          | ( prefix1615116500t_unit @ ( cons_c1162654829t_unit @ SX2 @ SX0 ) @ ( cons_c1162654829t_unit @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[355]) ).

thf(359,plain,
    ( ( ! [SX0: list_c1059388851t_unit,SX1: list_c1059388851t_unit,SX2: list_c1059388851t_unit] :
          ( ~ ( prefix1615116500t_unit @ SX0 @ SX1 )
          | ~ ( prefix1615116500t_unit @ SX1 @ SX2 )
          | ( prefix1615116500t_unit @ SX0 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[354]) ).

thf(360,plain,
    ( ( ( m = na )
      = $true )
    | ( ( ord_less_nat @ m @ na )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[353]) ).

thf(361,plain,
    ( ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[356]) ).

thf(362,plain,
    ( ( ( ~ ( ord_less_nat @ m @ na ) )
      = $true )
    | ( ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[357]) ).

thf(363,plain,
    ! [SV1: list_c1059388851t_unit] :
      ( ( ! [SY6: list_c1059388851t_unit,SY7: config256849571t_unit] :
            ( ~ ( prefix1615116500t_unit @ SV1 @ SY6 )
            | ( prefix1615116500t_unit @ ( cons_c1162654829t_unit @ SY7 @ SV1 ) @ ( cons_c1162654829t_unit @ SY7 @ SY6 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[358]) ).

thf(364,plain,
    ! [SV2: list_c1059388851t_unit] :
      ( ( ! [SY8: list_c1059388851t_unit,SY9: list_c1059388851t_unit] :
            ( ~ ( prefix1615116500t_unit @ SV2 @ SY8 )
            | ~ ( prefix1615116500t_unit @ SY8 @ SY9 )
            | ( prefix1615116500t_unit @ SV2 @ SY9 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[359]) ).

thf(365,plain,
    ( ( ( ord_less_nat @ m @ na )
      = $false )
    | ( ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[362]) ).

thf(366,plain,
    ! [SV3: list_c1059388851t_unit,SV1: list_c1059388851t_unit] :
      ( ( ! [SY10: config256849571t_unit] :
            ( ~ ( prefix1615116500t_unit @ SV1 @ SV3 )
            | ( prefix1615116500t_unit @ ( cons_c1162654829t_unit @ SY10 @ SV1 ) @ ( cons_c1162654829t_unit @ SY10 @ SV3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[363]) ).

thf(367,plain,
    ! [SV4: list_c1059388851t_unit,SV2: list_c1059388851t_unit] :
      ( ( ! [SY11: list_c1059388851t_unit] :
            ( ~ ( prefix1615116500t_unit @ SV2 @ SV4 )
            | ~ ( prefix1615116500t_unit @ SV4 @ SY11 )
            | ( prefix1615116500t_unit @ SV2 @ SY11 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[364]) ).

thf(368,plain,
    ! [SV5: config256849571t_unit,SV3: list_c1059388851t_unit,SV1: list_c1059388851t_unit] :
      ( ( ~ ( prefix1615116500t_unit @ SV1 @ SV3 )
        | ( prefix1615116500t_unit @ ( cons_c1162654829t_unit @ SV5 @ SV1 ) @ ( cons_c1162654829t_unit @ SV5 @ SV3 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[366]) ).

thf(369,plain,
    ! [SV6: list_c1059388851t_unit,SV4: list_c1059388851t_unit,SV2: list_c1059388851t_unit] :
      ( ( ~ ( prefix1615116500t_unit @ SV2 @ SV4 )
        | ~ ( prefix1615116500t_unit @ SV4 @ SV6 )
        | ( prefix1615116500t_unit @ SV2 @ SV6 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[367]) ).

thf(370,plain,
    ! [SV5: config256849571t_unit,SV3: list_c1059388851t_unit,SV1: list_c1059388851t_unit] :
      ( ( ( ~ ( prefix1615116500t_unit @ SV1 @ SV3 ) )
        = $true )
      | ( ( prefix1615116500t_unit @ ( cons_c1162654829t_unit @ SV5 @ SV1 ) @ ( cons_c1162654829t_unit @ SV5 @ SV3 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[368]) ).

thf(371,plain,
    ! [SV6: list_c1059388851t_unit,SV4: list_c1059388851t_unit,SV2: list_c1059388851t_unit] :
      ( ( ( ~ ( prefix1615116500t_unit @ SV2 @ SV4 ) )
        = $true )
      | ( ( ~ ( prefix1615116500t_unit @ SV4 @ SV6 )
          | ( prefix1615116500t_unit @ SV2 @ SV6 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[369]) ).

thf(372,plain,
    ! [SV5: config256849571t_unit,SV3: list_c1059388851t_unit,SV1: list_c1059388851t_unit] :
      ( ( ( prefix1615116500t_unit @ SV1 @ SV3 )
        = $false )
      | ( ( prefix1615116500t_unit @ ( cons_c1162654829t_unit @ SV5 @ SV1 ) @ ( cons_c1162654829t_unit @ SV5 @ SV3 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[370]) ).

thf(373,plain,
    ! [SV6: list_c1059388851t_unit,SV4: list_c1059388851t_unit,SV2: list_c1059388851t_unit] :
      ( ( ( prefix1615116500t_unit @ SV2 @ SV4 )
        = $false )
      | ( ( ~ ( prefix1615116500t_unit @ SV4 @ SV6 )
          | ( prefix1615116500t_unit @ SV2 @ SV6 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[371]) ).

thf(374,plain,
    ! [SV2: list_c1059388851t_unit,SV6: list_c1059388851t_unit,SV4: list_c1059388851t_unit] :
      ( ( ( ~ ( prefix1615116500t_unit @ SV4 @ SV6 ) )
        = $true )
      | ( ( prefix1615116500t_unit @ SV2 @ SV6 )
        = $true )
      | ( ( prefix1615116500t_unit @ SV2 @ SV4 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[373]) ).

thf(375,plain,
    ! [SV2: list_c1059388851t_unit,SV6: list_c1059388851t_unit,SV4: list_c1059388851t_unit] :
      ( ( ( prefix1615116500t_unit @ SV4 @ SV6 )
        = $false )
      | ( ( prefix1615116500t_unit @ SV2 @ SV6 )
        = $true )
      | ( ( prefix1615116500t_unit @ SV2 @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[374]) ).

thf(376,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[351,375,372,365,361,360]) ).

thf(377,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[376]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP055^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.16  % Computer : n014.cluster.edu
% 0.11/0.16  % Model    : x86_64 x86_64
% 0.11/0.16  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.16  % Memory   : 8046.5625MB
% 0.11/0.16  % OS       : Linux 6.8.0-71-generic
% 0.11/0.16  % CPULimit : 300
% 0.11/0.16  % WCLimit  : 300
% 0.11/0.16  % DateTime : Tue Oct  6 11:14:56 UTC 2026
% 0.11/0.16  % CPUTime  : 
% 0.11/0.16  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.42/0.63  ...
% 2.42/0.63  
% 2.42/0.63   No.of.Axioms: 5
% 2.42/0.63  
% 2.42/0.63   Length.of.Defs: 0
% 2.42/0.63  
% 2.42/0.63   Contains.Choice.Funs: false
% 2.42/0.63  ...
% 2.42/0.63  
% 2.42/0.63  ********************************
% 2.42/0.63  *   All subproblems solved!    *
% 2.42/0.63  ********************************
% 2.42/0.63  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:5,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:376,loop_count:0,foatp_calls:1,translation:fof_full)
% 2.42/0.63  
% 2.42/0.63  %**** Beginning of derivation protocol ****
% 2.42/0.63  % SZS output start CNFRefutation
% See solution above
% 2.42/0.63  
% 2.42/0.63  %**** End of derivation protocol ****
% 2.42/0.63  %**** no. of clauses in derivation: 41 ****
% 2.42/0.63  %**** clause counter: 376 ****
% 2.42/0.63  
% 2.42/0.63  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:5,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:376,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------