TSTP Solution File: ITP217_1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP217_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IoPOf6S0Mm true
% Computer : n012.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 05:23:05 EDT 2023
% Result : Theorem 34.73s 5.56s
% Output : Refutation 34.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 63
% Syntax : Number of formulae : 135 ( 34 unt; 48 typ; 0 def)
% Number of atoms : 156 ( 77 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 617 ( 50 ~; 54 |; 4 &; 498 @)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 16 ( 15 usr)
% Number of type conns : 41 ( 41 >; 0 *; 0 +; 0 <<)
% Number of symbols : 35 ( 33 usr; 14 con; 0-7 aty)
% Number of variables : 70 ( 0 ^; 70 !; 0 ?; 70 :)
% Comments :
%------------------------------------------------------------------------------
thf(bool_type,type,
bool: $tType ).
thf(heap_T5738788834812785303t_unit_type,type,
heap_T5738788834812785303t_unit: $tType ).
thf(heap_e7401611519738050253t_unit_type,type,
heap_e7401611519738050253t_unit: $tType ).
thf(heap_Time_Heap_a_type,type,
heap_Time_Heap_a: $tType ).
thf(fun_Pr5215307506330550056Heap_a_type,type,
fun_Pr5215307506330550056Heap_a: $tType ).
thf(product_unit_type,type,
product_unit: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(fun_nat_nat_type,type,
fun_nat_nat: $tType ).
thf(fun_nat_fun_nat_nat_type,type,
fun_nat_fun_nat_nat: $tType ).
thf(fun_nat_bool_type,type,
fun_nat_bool: $tType ).
thf(fun_nat_fun_nat_bool_type,type,
fun_nat_fun_nat_bool: $tType ).
thf(list_char_type,type,
list_char: $tType ).
thf(char_type,type,
char: $tType ).
thf(fun_bool_char_type,type,
fun_bool_char: $tType ).
thf(fun_Pr292408699144966967t_unit_type,type,
fun_Pr292408699144966967t_unit: $tType ).
thf(time_time_a_type,type,
time_time_a: heap_Time_Heap_a > heap_e7401611519738050253t_unit > nat ).
thf(aa_Pro7886978635576167513Heap_a_type,type,
aa_Pro7886978635576167513Heap_a: fun_Pr5215307506330550056Heap_a > product_unit > heap_Time_Heap_a ).
thf(nil_char_type,type,
nil_char: list_char ).
thf(time_t4224138285095624986t_unit_type,type,
time_t4224138285095624986t_unit: heap_T5738788834812785303t_unit > heap_e7401611519738050253t_unit > nat ).
thf(aa_Pro1108561329362217960t_unit_type,type,
aa_Pro1108561329362217960t_unit: fun_Pr292408699144966967t_unit > product_unit > heap_T5738788834812785303t_unit ).
thf(fTrue_type,type,
fTrue: bool ).
thf(zero_zero_nat_type,type,
zero_zero_nat: nat ).
thf(aTP_Lamm_a_type,type,
aTP_Lamm_a: fun_Pr5215307506330550056Heap_a ).
thf(time_f8834461667527620124t_unit_type,type,
time_f8834461667527620124t_unit: heap_T5738788834812785303t_unit > heap_e7401611519738050253t_unit > $o ).
thf(ord_less_eq_nat_type,type,
ord_less_eq_nat: fun_nat_fun_nat_bool ).
thf(time_t2745601220510131320t_unit_type,type,
time_t2745601220510131320t_unit: heap_T5738788834812785303t_unit > heap_e7401611519738050253t_unit > product_unit ).
thf(heap_T2927564422264180874t_unit_type,type,
heap_T2927564422264180874t_unit: list_char > heap_T5738788834812785303t_unit ).
thf(p_type,type,
p: bool ).
thf(aa_nat_fun_nat_nat_type,type,
aa_nat_fun_nat_nat: fun_nat_fun_nat_nat > nat > fun_nat_nat ).
thf(plus_plus_nat_type,type,
plus_plus_nat: fun_nat_fun_nat_nat ).
thf(time_t3350536682685678164t_unit_type,type,
time_t3350536682685678164t_unit: heap_T5738788834812785303t_unit > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit ).
thf(aa_nat_nat_type,type,
aa_nat_nat: fun_nat_nat > nat > nat ).
thf(aa_nat_bool_type,type,
aa_nat_bool: fun_nat_bool > nat > bool ).
thf(refine_Imp_assert_type,type,
refine_Imp_assert: bool > heap_T5738788834812785303t_unit ).
thf(pp_type,type,
pp: bool > $o ).
thf(time_fails_a_type,type,
time_fails_a: heap_Time_Heap_a > heap_e7401611519738050253t_unit > $o ).
thf(aa_nat_fun_nat_bool_type,type,
aa_nat_fun_nat_bool: fun_nat_fun_nat_bool > nat > fun_nat_bool ).
thf(heap_T757603679106148408unit_a_type,type,
heap_T757603679106148408unit_a: heap_T5738788834812785303t_unit > fun_Pr5215307506330550056Heap_a > heap_Time_Heap_a ).
thf(m_type,type,
m: heap_Time_Heap_a ).
thf(h_type,type,
h: heap_e7401611519738050253t_unit ).
thf(fFalse_type,type,
fFalse: bool ).
thf(t_type,type,
t: nat ).
thf(heap_T4284346855313245393t_unit_type,type,
heap_T4284346855313245393t_unit: fun_Pr292408699144966967t_unit ).
thf(cons_char_type,type,
cons_char: char > list_char > list_char ).
thf(aa_bool_char_type,type,
aa_bool_char: fun_bool_char > bool > char ).
thf(time_TBOUND_a_type,type,
time_TBOUND_a: heap_Time_Heap_a > fun_nat_bool ).
thf(char2_type,type,
char2: bool > bool > bool > bool > bool > bool > bool > fun_bool_char ).
thf(product_Unity_type,type,
product_Unity: product_unit ).
thf(help_fFalse_1_1_U,axiom,
~ ( pp @ fFalse ) ).
thf(zip_derived_cl2998,plain,
~ ( pp @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(fact_566_time__bind,axiom,
! [M: heap_T5738788834812785303t_unit,H: heap_e7401611519738050253t_unit,F: fun_Pr5215307506330550056Heap_a] :
( ( ~ ( ~ ( time_f8834461667527620124t_unit @ M @ H )
& ~ ( time_fails_a @ ( aa_Pro7886978635576167513Heap_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 @ ( aa_Pro7886978635576167513Heap_a @ F @ ( time_t2745601220510131320t_unit @ M @ H ) ) @ ( time_t3350536682685678164t_unit @ M @ H ) ) )
=> ( ( time_time_a @ ( heap_T757603679106148408unit_a @ M @ F ) @ H )
= ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ ( time_t4224138285095624986t_unit @ M @ H ) ) @ ( time_time_a @ ( aa_Pro7886978635576167513Heap_a @ F @ ( time_t2745601220510131320t_unit @ M @ H ) ) @ ( time_t3350536682685678164t_unit @ M @ H ) ) ) ) ) ) ).
thf(zip_derived_cl482,plain,
! [X0: heap_T5738788834812785303t_unit,X1: fun_Pr5215307506330550056Heap_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(help_If_3_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_T,axiom,
! [P: bool] :
( ( P = fFalse )
| ( P = fTrue ) ) ).
thf(zip_derived_cl3004,plain,
! [X0: bool] :
( ( X0 = fFalse )
| ( X0 = fTrue ) ),
inference(cnf,[status(esa)],[help_If_3_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_T]) ).
thf(help_fTrue_1_1_U,axiom,
pp @ fTrue ).
thf(zip_derived_cl2997,plain,
pp @ fTrue,
inference(cnf,[status(esa)],[help_fTrue_1_1_U]) ).
thf(zip_derived_cl5128,plain,
! [X0: bool] :
( ( pp @ X0 )
| ( X0 = fFalse ) ),
inference('sup+',[status(thm)],[zip_derived_cl3004,zip_derived_cl2997]) ).
thf(conj_0,conjecture,
pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ ( time_time_a @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ p ) @ aTP_Lamm_a ) @ h ) ) @ t ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ ( time_time_a @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ p ) @ aTP_Lamm_a ) @ h ) ) @ t ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl3007,plain,
~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ ( time_time_a @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ p ) @ aTP_Lamm_a ) @ h ) ) @ t ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5169,plain,
( ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ ( time_time_a @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ p ) @ aTP_Lamm_a ) @ h ) ) @ t )
= fFalse ),
inference('sup-',[status(thm)],[zip_derived_cl5128,zip_derived_cl3007]) ).
thf(fact_31_nat__le__linear,axiom,
! [M: nat,N: nat] :
( ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ N ) @ M ) )
| ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ M ) @ N ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: nat,X1: nat] :
( ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ X0 ) @ X1 ) )
| ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ X1 ) @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_31_nat__le__linear]) ).
thf(zip_derived_cl5498,plain,
( ( pp @ fFalse )
| ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ t ) @ ( time_time_a @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ p ) @ aTP_Lamm_a ) @ h ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5169,zip_derived_cl20]) ).
thf(zip_derived_cl2998_001,plain,
~ ( pp @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(zip_derived_cl5519,plain,
pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ t ) @ ( time_time_a @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ p ) @ aTP_Lamm_a ) @ h ) ),
inference(demod,[status(thm)],[zip_derived_cl5498,zip_derived_cl2998]) ).
thf(zip_derived_cl3004_002,plain,
! [X0: bool] :
( ( X0 = fFalse )
| ( X0 = fTrue ) ),
inference(cnf,[status(esa)],[help_If_3_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_T]) ).
thf(zip_derived_cl2998_003,plain,
~ ( pp @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(zip_derived_cl5126,plain,
! [X0: bool] :
( ~ ( pp @ X0 )
| ( X0 = fTrue ) ),
inference('sup-',[status(thm)],[zip_derived_cl3004,zip_derived_cl2998]) ).
thf(zip_derived_cl5822,plain,
( ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ t ) @ ( time_time_a @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ p ) @ aTP_Lamm_a ) @ h ) )
= fTrue ),
inference('sup-',[status(thm)],[zip_derived_cl5519,zip_derived_cl5126]) ).
thf(fact_28_le__trans,axiom,
! [I: nat,J: nat,K: nat] :
( ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ I ) @ J ) )
=> ( ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ J ) @ K ) )
=> ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ I ) @ K ) ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: nat,X1: nat,X2: nat] :
( ~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ X0 ) @ X1 ) )
| ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ X0 ) @ X2 ) )
| ~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ X1 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_28_le__trans]) ).
thf(zip_derived_cl5844,plain,
! [X0: nat] :
( ~ ( pp @ fTrue )
| ~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ ( time_time_a @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ p ) @ aTP_Lamm_a ) @ h ) ) @ X0 ) )
| ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ t ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5822,zip_derived_cl17]) ).
thf(zip_derived_cl2997_004,plain,
pp @ fTrue,
inference(cnf,[status(esa)],[help_fTrue_1_1_U]) ).
thf(zip_derived_cl5854,plain,
! [X0: nat] :
( ~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ ( time_time_a @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ p ) @ aTP_Lamm_a ) @ h ) ) @ X0 ) )
| ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ t ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5844,zip_derived_cl2997]) ).
thf(fact_29_eq__imp__le,axiom,
! [M: nat,N: nat] :
( ( M = N )
=> ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ M ) @ N ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: nat,X1: nat] :
( ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ X0 ) @ X1 ) )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[fact_29_eq__imp__le]) ).
thf(zip_derived_cl5905,plain,
! [X0: nat] :
( ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ t ) @ X0 ) )
| ( ( time_time_a @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ p ) @ aTP_Lamm_a ) @ h )
!= X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5854,zip_derived_cl18]) ).
thf(fact_229_bot__nat__0_Oextremum__unique,axiom,
! [A: nat] :
( ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ A ) @ zero_zero_nat ) )
<=> ( A = zero_zero_nat ) ) ).
thf(zip_derived_cl221,plain,
! [X0: nat] :
( ( X0 = zero_zero_nat )
| ~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ X0 ) @ zero_zero_nat ) ) ),
inference(cnf,[status(esa)],[fact_229_bot__nat__0_Oextremum__unique]) ).
thf(zip_derived_cl5938,plain,
( ( ( time_time_a @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ p ) @ aTP_Lamm_a ) @ h )
!= zero_zero_nat )
| ( t = zero_zero_nat ) ),
inference('sup-',[status(thm)],[zip_derived_cl5905,zip_derived_cl221]) ).
thf(zip_derived_cl5128_005,plain,
! [X0: bool] :
( ( pp @ X0 )
| ( X0 = fFalse ) ),
inference('sup+',[status(thm)],[zip_derived_cl3004,zip_derived_cl2997]) ).
thf(fact_5898_assert_H__def,axiom,
! [P: bool] :
( ( ~ ( pp @ P )
=> ( ( refine_Imp_assert @ P )
= ( heap_T2927564422264180874t_unit @ ( cons_char @ ( aa_bool_char @ ( char2 @ fTrue @ fFalse @ fFalse @ fFalse @ fFalse @ fTrue @ fTrue ) @ fFalse ) @ ( cons_char @ ( aa_bool_char @ ( char2 @ fTrue @ fTrue @ fFalse @ fFalse @ fTrue @ fTrue @ fTrue ) @ fFalse ) @ ( cons_char @ ( aa_bool_char @ ( char2 @ fTrue @ fTrue @ fFalse @ fFalse @ fTrue @ fTrue @ fTrue ) @ fFalse ) @ ( cons_char @ ( aa_bool_char @ ( char2 @ fTrue @ fFalse @ fTrue @ fFalse @ fFalse @ fTrue @ fTrue ) @ fFalse ) @ ( cons_char @ ( aa_bool_char @ ( char2 @ fFalse @ fTrue @ fFalse @ fFalse @ fTrue @ fTrue @ fTrue ) @ fFalse ) @ ( cons_char @ ( aa_bool_char @ ( char2 @ fFalse @ fFalse @ fTrue @ fFalse @ fTrue @ fTrue @ fTrue ) @ fFalse ) @ nil_char ) ) ) ) ) ) ) ) )
& ( ( pp @ P )
=> ( ( refine_Imp_assert @ P )
= ( aa_Pro1108561329362217960t_unit @ heap_T4284346855313245393t_unit @ product_Unity ) ) ) ) ).
thf(zip_derived_cl2986,plain,
! [X0: bool] :
( ( ( refine_Imp_assert @ X0 )
= ( aa_Pro1108561329362217960t_unit @ heap_T4284346855313245393t_unit @ product_Unity ) )
| ~ ( pp @ X0 ) ),
inference(cnf,[status(esa)],[fact_5898_assert_H__def]) ).
thf(zip_derived_cl5315,plain,
! [X0: bool] :
( ( X0 = fFalse )
| ( ( refine_Imp_assert @ X0 )
= ( aa_Pro1108561329362217960t_unit @ heap_T4284346855313245393t_unit @ product_Unity ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5128,zip_derived_cl2986]) ).
thf(fact_6242_ATP_Olambda__172,axiom,
! [Uu: product_unit] :
( ( aa_Pro7886978635576167513Heap_a @ aTP_Lamm_a @ Uu )
= m ) ).
thf(zip_derived_cl2996,plain,
! [X0: product_unit] :
( ( aa_Pro7886978635576167513Heap_a @ aTP_Lamm_a @ X0 )
= m ),
inference(cnf,[status(esa)],[fact_6242_ATP_Olambda__172]) ).
thf(fact_217_ureturn__bind,axiom,
! [X: product_unit,F: fun_Pr5215307506330550056Heap_a] :
( ( heap_T757603679106148408unit_a @ ( aa_Pro1108561329362217960t_unit @ heap_T4284346855313245393t_unit @ X ) @ F )
= ( aa_Pro7886978635576167513Heap_a @ F @ X ) ) ).
thf(zip_derived_cl206,plain,
! [X0: fun_Pr5215307506330550056Heap_a,X1: product_unit] :
( ( heap_T757603679106148408unit_a @ ( aa_Pro1108561329362217960t_unit @ heap_T4284346855313245393t_unit @ X1 ) @ X0 )
= ( aa_Pro7886978635576167513Heap_a @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_217_ureturn__bind]) ).
thf(zip_derived_cl9566,plain,
! [X0: product_unit] :
( ( heap_T757603679106148408unit_a @ ( aa_Pro1108561329362217960t_unit @ heap_T4284346855313245393t_unit @ X0 ) @ aTP_Lamm_a )
= m ),
inference('sup+',[status(thm)],[zip_derived_cl2996,zip_derived_cl206]) ).
thf(zip_derived_cl10908,plain,
! [X0: bool] :
( ( ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ X0 ) @ aTP_Lamm_a )
= m )
| ( X0 = fFalse ) ),
inference('sup+',[status(thm)],[zip_derived_cl5315,zip_derived_cl9566]) ).
thf(zip_derived_cl5169_006,plain,
( ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ ( time_time_a @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ p ) @ aTP_Lamm_a ) @ h ) ) @ t )
= fFalse ),
inference('sup-',[status(thm)],[zip_derived_cl5128,zip_derived_cl3007]) ).
thf(fact_22_TBOUNDD,axiom,
! [M: heap_Time_Heap_a,T: nat,H: heap_e7401611519738050253t_unit] :
( ( pp @ ( aa_nat_bool @ ( time_TBOUND_a @ M ) @ T ) )
=> ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ ( time_time_a @ M @ H ) ) @ T ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: heap_Time_Heap_a,X1: nat,X2: heap_e7401611519738050253t_unit] :
( ~ ( pp @ ( aa_nat_bool @ ( time_TBOUND_a @ X0 ) @ X1 ) )
| ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ ( time_time_a @ X0 @ X2 ) ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_22_TBOUNDD]) ).
thf(zip_derived_cl5249,plain,
( ( pp @ fFalse )
| ~ ( pp @ ( aa_nat_bool @ ( time_TBOUND_a @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ p ) @ aTP_Lamm_a ) ) @ t ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5169,zip_derived_cl9]) ).
thf(zip_derived_cl2998_007,plain,
~ ( pp @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(zip_derived_cl5252,plain,
~ ( pp @ ( aa_nat_bool @ ( time_TBOUND_a @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ p ) @ aTP_Lamm_a ) ) @ t ) ),
inference(demod,[status(thm)],[zip_derived_cl5249,zip_derived_cl2998]) ).
thf(zip_derived_cl5128_008,plain,
! [X0: bool] :
( ( pp @ X0 )
| ( X0 = fFalse ) ),
inference('sup+',[status(thm)],[zip_derived_cl3004,zip_derived_cl2997]) ).
thf(zip_derived_cl5265,plain,
( ( aa_nat_bool @ ( time_TBOUND_a @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ p ) @ aTP_Lamm_a ) ) @ t )
= fFalse ),
inference('sup+',[status(thm)],[zip_derived_cl5252,zip_derived_cl5128]) ).
thf(zip_derived_cl11175,plain,
( ( ( aa_nat_bool @ ( time_TBOUND_a @ m ) @ t )
= fFalse )
| ( p = fFalse ) ),
inference('sup+',[status(thm)],[zip_derived_cl10908,zip_derived_cl5265]) ).
thf(zip_derived_cl5128_009,plain,
! [X0: bool] :
( ( pp @ X0 )
| ( X0 = fFalse ) ),
inference('sup+',[status(thm)],[zip_derived_cl3004,zip_derived_cl2997]) ).
thf(fact_1_assms,axiom,
( ( pp @ p )
=> ( pp @ ( aa_nat_bool @ ( time_TBOUND_a @ m ) @ t ) ) ) ).
thf(zip_derived_cl1,plain,
( ( pp @ ( aa_nat_bool @ ( time_TBOUND_a @ m ) @ t ) )
| ~ ( pp @ p ) ),
inference(cnf,[status(esa)],[fact_1_assms]) ).
thf(zip_derived_cl3004_010,plain,
! [X0: bool] :
( ( X0 = fFalse )
| ( X0 = fTrue ) ),
inference(cnf,[status(esa)],[help_If_3_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_T]) ).
thf(zip_derived_cl3004_011,plain,
! [X0: bool] :
( ( X0 = fFalse )
| ( X0 = fTrue ) ),
inference(cnf,[status(esa)],[help_If_3_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_T]) ).
thf(zip_derived_cl5129,plain,
! [X0: bool,X1: bool] :
( ( X1 = X0 )
| ( X0 = fFalse )
| ( X1 = fFalse ) ),
inference('sup+',[status(thm)],[zip_derived_cl3004,zip_derived_cl3004]) ).
thf(zip_derived_cl2998_012,plain,
~ ( pp @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(zip_derived_cl6058,plain,
! [X0: bool,X1: bool] :
( ~ ( pp @ X0 )
| ( X1 = fFalse )
| ( X1 = X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5129,zip_derived_cl2998]) ).
thf(zip_derived_cl6351,plain,
! [X0: bool] :
( ~ ( pp @ p )
| ( X0
= ( aa_nat_bool @ ( time_TBOUND_a @ m ) @ t ) )
| ( X0 = fFalse ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl6058]) ).
thf(zip_derived_cl6818,plain,
! [X0: bool] :
( ( p = fFalse )
| ( X0 = fFalse )
| ( X0
= ( aa_nat_bool @ ( time_TBOUND_a @ m ) @ t ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5128,zip_derived_cl6351]) ).
thf(zip_derived_cl9535,plain,
! [X0: bool] :
( ( X0 != p )
| ( X0
= ( aa_nat_bool @ ( time_TBOUND_a @ m ) @ t ) )
| ( p = fFalse ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl6818]) ).
thf(zip_derived_cl9594,plain,
( ( p = fFalse )
| ( p
= ( aa_nat_bool @ ( time_TBOUND_a @ m ) @ t ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl9535]) ).
thf(zip_derived_cl11196,plain,
( ( p = fFalse )
| ( p = fFalse )
| ( p = fFalse ) ),
inference('sup+',[status(thm)],[zip_derived_cl11175,zip_derived_cl9594]) ).
thf(zip_derived_cl11200,plain,
p = fFalse,
inference(simplify,[status(thm)],[zip_derived_cl11196]) ).
thf(zip_derived_cl11212,plain,
( ( ( time_time_a @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ fFalse ) @ aTP_Lamm_a ) @ h )
!= zero_zero_nat )
| ( t = zero_zero_nat ) ),
inference(demod,[status(thm)],[zip_derived_cl5938,zip_derived_cl11200]) ).
thf(zip_derived_cl14494,plain,
( ( zero_zero_nat != zero_zero_nat )
| ~ ( time_f8834461667527620124t_unit @ ( refine_Imp_assert @ fFalse ) @ h )
| ( t = zero_zero_nat ) ),
inference('sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl11212]) ).
thf(zip_derived_cl14513,plain,
( ( t = zero_zero_nat )
| ~ ( time_f8834461667527620124t_unit @ ( refine_Imp_assert @ fFalse ) @ h ) ),
inference(simplify,[status(thm)],[zip_derived_cl14494]) ).
thf(zip_derived_cl482_013,plain,
! [X0: heap_T5738788834812785303t_unit,X1: fun_Pr5215307506330550056Heap_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(zip_derived_cl5169_014,plain,
( ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ ( time_time_a @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ p ) @ aTP_Lamm_a ) @ h ) ) @ t )
= fFalse ),
inference('sup-',[status(thm)],[zip_derived_cl5128,zip_derived_cl3007]) ).
thf(zip_derived_cl18_015,plain,
! [X0: nat,X1: nat] :
( ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ X0 ) @ X1 ) )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[fact_29_eq__imp__le]) ).
thf(zip_derived_cl5431,plain,
( ( pp @ fFalse )
| ( ( time_time_a @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ p ) @ aTP_Lamm_a ) @ h )
!= t ) ),
inference('sup+',[status(thm)],[zip_derived_cl5169,zip_derived_cl18]) ).
thf(zip_derived_cl2998_016,plain,
~ ( pp @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(zip_derived_cl5434,plain,
( ( time_time_a @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ p ) @ aTP_Lamm_a ) @ h )
!= t ),
inference(demod,[status(thm)],[zip_derived_cl5431,zip_derived_cl2998]) ).
thf(zip_derived_cl11200_017,plain,
p = fFalse,
inference(simplify,[status(thm)],[zip_derived_cl11196]) ).
thf(zip_derived_cl11206,plain,
( ( time_time_a @ ( heap_T757603679106148408unit_a @ ( refine_Imp_assert @ fFalse ) @ aTP_Lamm_a ) @ h )
!= t ),
inference(demod,[status(thm)],[zip_derived_cl5434,zip_derived_cl11200]) ).
thf(zip_derived_cl14492,plain,
( ( zero_zero_nat != t )
| ~ ( time_f8834461667527620124t_unit @ ( refine_Imp_assert @ fFalse ) @ h ) ),
inference('sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl11206]) ).
thf(fact_299_fails__assert_H,axiom,
! [P: bool,H: heap_e7401611519738050253t_unit] :
( ( time_f8834461667527620124t_unit @ ( refine_Imp_assert @ P ) @ H )
<=> ~ ( pp @ P ) ) ).
thf(zip_derived_cl278,plain,
! [X0: bool,X1: heap_e7401611519738050253t_unit] :
( ( time_f8834461667527620124t_unit @ ( refine_Imp_assert @ X0 ) @ X1 )
| ( pp @ X0 ) ),
inference(cnf,[status(esa)],[fact_299_fails__assert_H]) ).
thf(zip_derived_cl14518,plain,
( ( zero_zero_nat != t )
| ( pp @ fFalse ) ),
inference('sup+',[status(thm)],[zip_derived_cl14492,zip_derived_cl278]) ).
thf(zip_derived_cl2998_018,plain,
~ ( pp @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(zip_derived_cl14534,plain,
zero_zero_nat != t,
inference(clc,[status(thm)],[zip_derived_cl14518,zip_derived_cl2998]) ).
thf(zip_derived_cl14553,plain,
~ ( time_f8834461667527620124t_unit @ ( refine_Imp_assert @ fFalse ) @ h ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14513,zip_derived_cl14534]) ).
thf(zip_derived_cl278_019,plain,
! [X0: bool,X1: heap_e7401611519738050253t_unit] :
( ( time_f8834461667527620124t_unit @ ( refine_Imp_assert @ X0 ) @ X1 )
| ( pp @ X0 ) ),
inference(cnf,[status(esa)],[fact_299_fails__assert_H]) ).
thf(zip_derived_cl14554,plain,
pp @ fFalse,
inference('sup+',[status(thm)],[zip_derived_cl14553,zip_derived_cl278]) ).
thf(zip_derived_cl14570,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2998,zip_derived_cl14554]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ITP217_1 : TPTP v8.1.2. Released v8.0.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IoPOf6S0Mm true
% 0.11/0.33 % Computer : n012.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.34 % DateTime : Sun Aug 27 13:08:10 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % Running portfolio for 300 s
% 0.11/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.34 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.19/0.60 % Total configuration time : 435
% 0.19/0.60 % Estimated wc time : 1092
% 0.19/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.66 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 34.73/5.56 % Solved by fo/fo3_bce.sh.
% 34.73/5.56 % BCE start: 3008
% 34.73/5.56 % BCE eliminated: 4
% 34.73/5.56 % PE start: 3004
% 34.73/5.56 logic: eq
% 34.73/5.56 % PE eliminated: 52
% 34.73/5.56 % done 1150 iterations in 4.784s
% 34.73/5.56 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 34.73/5.56 % SZS output start Refutation
% See solution above
% 34.73/5.56
% 34.73/5.56
% 34.73/5.56 % Terminating...
% 34.73/5.63 % Runner terminated.
% 34.73/5.66 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------