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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP217^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3BTsfZ30gf true

% 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 : Sat Feb 28 09:48:07 AM UTC 2026

% Result   : Theorem 142.90s 20.18s
% Output   : Refutation 142.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   27 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :  143 (  11 equ;   0 cnn)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives :  302 (  16   ~;   6   |;   3   &; 270   @)
%                                         (   3 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    8 (   7 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   29 (  26 usr;   9 con; 0-8 aty)
%            Number of variables   :   47 (   5   ^;  42   !;   0   ?;  47   :)

% Comments : 
%------------------------------------------------------------------------------
thf(heap_Time_Heap_a_type,type,
    heap_Time_Heap_a: $tType ).

thf(heap_T5738788834812785303t_unit_type,type,
    heap_T5738788834812785303t_unit: $tType ).

thf(product_unit_type,type,
    product_unit: $tType ).

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

thf(heap_e7401611519738050253t_unit_type,type,
    heap_e7401611519738050253t_unit: $tType ).

thf(list_char_type,type,
    list_char: $tType ).

thf(char_type,type,
    char: $tType ).

thf(m_type,type,
    m: heap_Time_Heap_a ).

thf(zero_zero_nat_type,type,
    zero_zero_nat: nat ).

thf(heap_T4284346855313245393t_unit_type,type,
    heap_T4284346855313245393t_unit: product_unit > heap_T5738788834812785303t_unit ).

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

thf(p_type,type,
    p: $o ).

thf(refine_Imp_refines_a_type,type,
    refine_Imp_refines_a: heap_Time_Heap_a > heap_Time_Heap_a > $o ).

thf(heap_T757603679106148408unit_a_type,type,
    heap_T757603679106148408unit_a: heap_T5738788834812785303t_unit > ( product_unit > heap_Time_Heap_a ) > heap_Time_Heap_a ).

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

thf(cons_char_type,type,
    cons_char: char > list_char > list_char ).

thf(time_t3350536682685678164t_unit_type,type,
    time_t3350536682685678164t_unit: heap_T5738788834812785303t_unit > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit ).

thf(time_time_a_type,type,
    time_time_a: heap_Time_Heap_a > heap_e7401611519738050253t_unit > nat ).

thf(product_Unity_type,type,
    product_Unity: product_unit ).

thf(time_fails_a_type,type,
    time_fails_a: heap_Time_Heap_a > heap_e7401611519738050253t_unit > $o ).

thf(time_t4224138285095624986t_unit_type,type,
    time_t4224138285095624986t_unit: heap_T5738788834812785303t_unit > heap_e7401611519738050253t_unit > nat ).

thf(t_type,type,
    t: nat ).

thf(if_Hea8138950348631371857t_unit_type,type,
    if_Hea8138950348631371857t_unit: $o > heap_T5738788834812785303t_unit > heap_T5738788834812785303t_unit > heap_T5738788834812785303t_unit ).

thf(time_f8834461667527620124t_unit_type,type,
    time_f8834461667527620124t_unit: heap_T5738788834812785303t_unit > heap_e7401611519738050253t_unit > $o ).

thf(time_t2745601220510131320t_unit_type,type,
    time_t2745601220510131320t_unit: heap_T5738788834812785303t_unit > heap_e7401611519738050253t_unit > product_unit ).

thf(time_TBOUND_a_type,type,
    time_TBOUND_a: heap_Time_Heap_a > nat > $o ).

thf(h_type,type,
    h: heap_e7401611519738050253t_unit ).

thf(nil_char_type,type,
    nil_char: list_char ).

thf(plus_plus_nat_type,type,
    plus_plus_nat: nat > nat > nat ).

thf(refine_Imp_assert_type,type,
    refine_Imp_assert: $o > heap_T5738788834812785303t_unit ).

thf(char2_type,type,
    char2: $o > $o > $o > $o > $o > $o > $o > $o > char ).

thf(heap_T2927564422264180874t_unit_type,type,
    heap_T2927564422264180874t_unit: list_char > heap_T5738788834812785303t_unit ).

thf('#l_lift12071_type',type,
    '#l_lift12071': heap_Time_Heap_a > product_unit > heap_Time_Heap_a ).

thf(fact_214_refines__assert_H__bind,axiom,
    ! [P3: heap_Time_Heap_a,Q2: heap_Time_Heap_a,Phi: $o] :
      ( ( refine_Imp_refines_a @ P3 @ Q2 )
     => ( refine_Imp_refines_a @ P3
        @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ Phi )
          @ ^ [Uu: product_unit] : Q2 ) ) ) ).

thf(zip_derived_cl215,plain,
    ! [X0: heap_Time_Heap_a,X1: heap_Time_Heap_a,X2: $o] :
      ( ~ ( refine_Imp_refines_a @ X0 @ X1 )
      | ( refine_Imp_refines_a @ X0
        @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ X2 )
          @ ^ [Y0: product_unit] : X1 ) ) ),
    inference(cnf,[status(esa)],[fact_214_refines__assert_H__bind]) ).

thf(zip_derived_cl22449,plain,
    ! [X1: heap_Time_Heap_a,X3: product_unit] :
      ( ( '#l_lift12071' @ X1 @ X3 )
      = X1 ),
    define([status(thm)]) ).

thf(fact_1_assms,axiom,
    ( p
   => ( time_TBOUND_a @ m @ t ) ) ).

thf(zip_derived_cl1,plain,
    ( ( time_TBOUND_a @ m @ t )
    | ~ p ),
    inference(cnf,[status(esa)],[fact_1_assms]) ).

thf(fact_217_ureturn__bind,axiom,
    ! [X2: product_unit,F: product_unit > heap_Time_Heap_a] :
      ( ( heap_T757603679106148408unit_a @ ( heap_T4284346855313245393t_unit @ X2 ) @ F )
      = ( F @ X2 ) ) ).

thf(zip_derived_cl217,plain,
    ! [X0: product_unit > heap_Time_Heap_a,X1: product_unit] :
      ( ( heap_T757603679106148408unit_a @ ( heap_T4284346855313245393t_unit @ X1 ) @ X0 )
      = ( X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_217_ureturn__bind]) ).

thf(help_If_1_1_If_001t__Heap____Time____Monad__OHeap_It__Product____Type__Ounit_J_T,axiom,
    ! [X2: heap_T5738788834812785303t_unit,Y: heap_T5738788834812785303t_unit] :
      ( ( if_Hea8138950348631371857t_unit @ $true @ X2 @ Y )
      = X2 ) ).

thf(zip_derived_cl3763,plain,
    ! [X0: heap_T5738788834812785303t_unit,X1: heap_T5738788834812785303t_unit] :
      ( ( if_Hea8138950348631371857t_unit @ $true @ X0 @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[help_If_1_1_If_001t__Heap____Time____Monad__OHeap_It__Product____Type__Ounit_J_T]) ).

thf(fact_299_fails__assert_H,axiom,
    ! [P: $o,H: heap_e7401611519738050253t_unit] :
      ( ( time_f8834461667527620124t_unit @ ( refine_Imp_assert @ P ) @ H )
    <=> ~ P ) ).

thf(zip_derived_cl259,plain,
    ! [X0: $o,X1: heap_e7401611519738050253t_unit] :
      ( ( time_f8834461667527620124t_unit @ ( refine_Imp_assert @ X0 ) @ X1 )
      | X0 ),
    inference(cnf,[status(esa)],[fact_299_fails__assert_H]) ).

thf(fact_5898_assert_H__def,axiom,
    ! [P5: $o] :
      ( ( refine_Imp_assert @ P5 )
      = ( if_Hea8138950348631371857t_unit @ P5 @ ( heap_T4284346855313245393t_unit @ product_Unity ) @ ( heap_T2927564422264180874t_unit @ ( cons_char @ ( char2 @ $true @ $false @ $false @ $false @ $false @ $true @ $true @ $false ) @ ( cons_char @ ( char2 @ $true @ $true @ $false @ $false @ $true @ $true @ $true @ $false ) @ ( cons_char @ ( char2 @ $true @ $true @ $false @ $false @ $true @ $true @ $true @ $false ) @ ( cons_char @ ( char2 @ $true @ $false @ $true @ $false @ $false @ $true @ $true @ $false ) @ ( cons_char @ ( char2 @ $false @ $true @ $false @ $false @ $true @ $true @ $true @ $false ) @ ( cons_char @ ( char2 @ $false @ $false @ $true @ $false @ $true @ $true @ $true @ $false ) @ nil_char ) ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl3754,plain,
    ! [X0: $o] :
      ( ( refine_Imp_assert @ X0 )
      = ( if_Hea8138950348631371857t_unit @ X0 @ ( heap_T4284346855313245393t_unit @ product_Unity ) @ ( heap_T2927564422264180874t_unit @ ( cons_char @ ( char2 @ $true @ $false @ $false @ $false @ $false @ $true @ $true @ $false ) @ ( cons_char @ ( char2 @ $true @ $true @ $false @ $false @ $true @ $true @ $true @ $false ) @ ( cons_char @ ( char2 @ $true @ $true @ $false @ $false @ $true @ $true @ $true @ $false ) @ ( cons_char @ ( char2 @ $true @ $false @ $true @ $false @ $false @ $true @ $true @ $false ) @ ( cons_char @ ( char2 @ $false @ $true @ $false @ $false @ $true @ $true @ $true @ $false ) @ ( cons_char @ ( char2 @ $false @ $false @ $true @ $false @ $true @ $true @ $true @ $false ) @ nil_char ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_5898_assert_H__def]) ).

thf(fact_1396_less__zeroE,axiom,
    ! [N: nat] :
      ~ ( ord_less_nat @ N @ zero_zero_nat ) ).

thf(zip_derived_cl1519,plain,
    ! [X0: nat] :
      ~ ( ord_less_nat @ X0 @ zero_zero_nat ),
    inference(cnf,[status(esa)],[fact_1396_less__zeroE]) ).

thf(fact_566_time__bind,axiom,
    ! [M: heap_T5738788834812785303t_unit,H: heap_e7401611519738050253t_unit,F: product_unit > heap_Time_Heap_a] :
      ( ( ~ ( ~ ( time_f8834461667527620124t_unit @ M @ H )
            & ~ ( time_fails_a @ ( F @ ( time_t2745601220510131320t_unit @ M @ H ) ) @ ( time_t3350536682685678164t_unit @ M @ H ) ) )
       => ( ( time_time_a @ ( heap_T757603679106148408unit_a @ M @ F ) @ H )
          = zero_zero_nat ) )
      & ( ( ~ ( time_f8834461667527620124t_unit @ M @ H )
          & ~ ( time_fails_a @ ( F @ ( time_t2745601220510131320t_unit @ M @ H ) ) @ ( time_t3350536682685678164t_unit @ M @ H ) ) )
       => ( ( time_time_a @ ( heap_T757603679106148408unit_a @ M @ F ) @ H )
          = ( plus_plus_nat @ ( time_t4224138285095624986t_unit @ M @ H ) @ ( time_time_a @ ( F @ ( time_t2745601220510131320t_unit @ M @ H ) ) @ ( time_t3350536682685678164t_unit @ M @ H ) ) ) ) ) ) ).

thf(zip_derived_cl549,plain,
    ! [X0: heap_T5738788834812785303t_unit,X1: product_unit > heap_Time_Heap_a,X2: heap_e7401611519738050253t_unit] :
      ( ( ( time_time_a @ ( heap_T757603679106148408unit_a @ X0 @ X1 ) @ X2 )
        = zero_zero_nat )
      | ~ ( time_f8834461667527620124t_unit @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[fact_566_time__bind]) ).

thf(fact_1243_linorder__not__less,axiom,
    ! [X2: nat,Y: nat] :
      ( ~ ( ord_less_nat @ X2 @ Y )
    <=> ( ord_less_eq_nat @ Y @ X2 ) ) ).

thf(zip_derived_cl1373,plain,
    ! [X0: nat,X1: nat] :
      ( ( ord_less_eq_nat @ X0 @ X1 )
      | ( ord_less_nat @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[fact_1243_linorder__not__less]) ).

thf(fact_26_TBOUND__def,axiom,
    ! [M2: heap_Time_Heap_a,T2: nat] :
      ( ( time_TBOUND_a @ M2 @ T2 )
    <=> ! [H3: heap_e7401611519738050253t_unit] : ( ord_less_eq_nat @ ( time_time_a @ M2 @ H3 ) @ T2 ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: heap_Time_Heap_a,X1: heap_e7401611519738050253t_unit,X2: nat] :
      ( ( ord_less_eq_nat @ ( time_time_a @ X0 @ X1 ) @ X2 )
      | ~ ( time_TBOUND_a @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[fact_26_TBOUND__def]) ).

thf(conj_0,conjecture,
    ( ord_less_eq_nat
    @ ( time_time_a
      @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ p )
        @ ^ [Uu: product_unit] : m )
      @ h )
    @ t ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ord_less_eq_nat
      @ ( time_time_a
        @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ p )
          @ ^ [Uu: product_unit] : m )
        @ h )
      @ t ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl3764,plain,
    ~ ( ord_less_eq_nat
      @ ( time_time_a
        @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ p )
          @ ^ [Y0: product_unit] : m )
        @ h )
      @ t ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22449_001,plain,
    ! [X1: heap_Time_Heap_a,X3: product_unit] :
      ( ( '#l_lift12071' @ X1 @ X3 )
      = X1 ),
    define([status(thm)]) ).

thf(zip_derived_cl22458,plain,
    ~ ( ord_less_eq_nat @ ( time_time_a @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ p ) @ ( '#l_lift12071' @ m ) ) @ h ) @ t ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl3764,zip_derived_cl22449]) ).

thf(zip_derived_cl22468,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl22449,zip_derived_cl1,zip_derived_cl217,zip_derived_cl3763,zip_derived_cl259,zip_derived_cl3754,zip_derived_cl1519,zip_derived_cl549,zip_derived_cl1373,zip_derived_cl22,zip_derived_cl22458]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : ITP217^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.00/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3BTsfZ30gf true
% 0.11/0.29  % Computer : n007.cluster.edu
% 0.11/0.29  % Model    : x86_64 x86_64
% 0.11/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29  % Memory   : 8042.1875MB
% 0.11/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29  % CPULimit : 300
% 0.11/0.29  % WCLimit  : 300
% 0.11/0.29  % DateTime : Thu Feb 26 05:44:08 EST 2026
% 0.11/0.30  % CPUTime  : 
% 0.11/0.30  % Running portfolio for 300 s
% 0.11/0.30  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.30  % Number of cores: 8
% 0.11/0.30  % Python version: Python 3.6.8
% 0.11/0.30  % Running in HO mode
% 0.47/0.56  % Total configuration time : 828
% 0.47/0.56  % Estimated wc time : 1656
% 0.47/0.56  % Estimated cpu time (8 cpus) : 207.0
% 0.62/0.65  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.62/0.65  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.62/0.65  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.62/0.65  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.62/0.65  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.62/0.65  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.62/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.62/0.68  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 4.20/1.06  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 142.90/20.18  % Solved by lams/40_c.s.sh.
% 142.90/20.18  % done 1708 iterations in 19.502s
% 142.90/20.18  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 142.90/20.18  % SZS output start Refutation
% See solution above
% 142.90/20.18  
% 142.90/20.18  
% 142.90/20.18  % Terminating...
% 3.07/20.23  % Runner terminated.
% 3.07/20.24  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------