%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP217_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 : Thu Sep 24 12:54:37 PM UTC 2026
% Result : Theorem 22.10s 4.36s
% Output : CNFRefutation 22.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 46 ( 27 unt; 0 typ; 0 def)
% Number of atoms : 86 ( 31 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 73 ( 33 ~; 17 |; 12 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 16 ( 15 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 13 con; 0-7 aty)
% Number of variables : 46 ( 0 sgn 46 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
fun_Pr5215307506330550056Heap_a: $tType ).
tff(decl_sort2,type,
fun_Pr292408699144966967t_unit: $tType ).
tff(decl_sort3,type,
fun_nat_bool: $tType ).
tff(decl_sort4,type,
heap_Time_Heap_a: $tType ).
tff(decl_sort5,type,
heap_T5738788834812785303t_unit: $tType ).
tff(decl_sort6,type,
fun_nat_nat: $tType ).
tff(decl_sort7,type,
product_unit: $tType ).
tff(decl_sort8,type,
fun_nat_fun_nat_bool: $tType ).
tff(decl_sort9,type,
fun_nat_fun_nat_nat: $tType ).
tff(decl_sort10,type,
nat: $tType ).
tff(decl_sort11,type,
bool: $tType ).
tff(decl_sort12,type,
heap_e7401611519738050253t_unit: $tType ).
tff(decl_sort13,type,
list_char: $tType ).
tff(decl_sort14,type,
char: $tType ).
tff(decl_sort15,type,
fun_bool_char: $tType ).
tff(decl_23,type,
aTP_Lamm_a: fun_Pr5215307506330550056Heap_a ).
tff(decl_476,type,
plus_plus_nat: fun_nat_fun_nat_nat ).
tff(decl_495,type,
zero_zero_nat: nat ).
tff(decl_519,type,
heap_T757603679106148408unit_a: ( fun_Pr5215307506330550056Heap_a * heap_T5738788834812785303t_unit ) > heap_Time_Heap_a ).
tff(decl_526,type,
heap_T2927564422264180874t_unit: list_char > heap_T5738788834812785303t_unit ).
tff(decl_530,type,
heap_T4284346855313245393t_unit: fun_Pr292408699144966967t_unit ).
tff(decl_590,type,
cons_char: ( list_char * char ) > list_char ).
tff(decl_596,type,
nil_char: list_char ).
tff(decl_719,type,
ord_less_eq_nat: fun_nat_fun_nat_bool ).
tff(decl_764,type,
product_Unity: product_unit ).
tff(decl_815,type,
refine_Imp_assert: bool > heap_T5738788834812785303t_unit ).
tff(decl_882,type,
char2: ( bool * ( bool * ( bool * ( bool * ( bool * ( bool * bool ) ) ) ) ) ) > fun_bool_char ).
tff(decl_891,type,
time_f8834461667527620124t_unit: ( heap_e7401611519738050253t_unit * heap_T5738788834812785303t_unit ) > $o ).
tff(decl_892,type,
time_fails_a: ( heap_e7401611519738050253t_unit * heap_Time_Heap_a ) > $o ).
tff(decl_893,type,
time_t3350536682685678164t_unit: ( heap_e7401611519738050253t_unit * heap_T5738788834812785303t_unit ) > heap_e7401611519738050253t_unit ).
tff(decl_895,type,
time_t2745601220510131320t_unit: ( heap_e7401611519738050253t_unit * heap_T5738788834812785303t_unit ) > product_unit ).
tff(decl_900,type,
time_t4224138285095624986t_unit: ( heap_e7401611519738050253t_unit * heap_T5738788834812785303t_unit ) > nat ).
tff(decl_901,type,
time_time_a: ( heap_e7401611519738050253t_unit * heap_Time_Heap_a ) > nat ).
tff(decl_957,type,
aa_bool_char: ( bool * fun_bool_char ) > char ).
tff(decl_1027,type,
aa_nat_bool: ( nat * fun_nat_bool ) > bool ).
tff(decl_1030,type,
aa_nat_nat: ( nat * fun_nat_nat ) > nat ).
tff(decl_1042,type,
aa_nat_fun_nat_bool: ( nat * fun_nat_fun_nat_bool ) > fun_nat_bool ).
tff(decl_1044,type,
aa_nat_fun_nat_nat: ( nat * fun_nat_fun_nat_nat ) > fun_nat_nat ).
tff(decl_1083,type,
aa_Pro1108561329362217960t_unit: ( product_unit * fun_Pr292408699144966967t_unit ) > heap_T5738788834812785303t_unit ).
tff(decl_1084,type,
aa_Pro7886978635576167513Heap_a: ( product_unit * fun_Pr5215307506330550056Heap_a ) > heap_Time_Heap_a ).
tff(decl_1153,type,
fFalse: bool ).
tff(decl_1155,type,
fTrue: bool ).
tff(decl_1173,type,
pp: bool > $o ).
tff(decl_1174,type,
p: bool ).
tff(decl_1175,type,
h: heap_e7401611519738050253t_unit ).
tff(decl_1176,type,
m: heap_Time_Heap_a ).
tff(decl_1177,type,
t: nat ).
tff(help_fFalse_1_1_U,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
tff(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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(help_If_3_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_T,axiom,
! [X11509: bool] :
( ( X11509 = fFalse )
| ( X11509 = fTrue ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_T) ).
tff(fact_566_time__bind,axiom,
! [X34: heap_T5738788834812785303t_unit,X1: heap_e7401611519738050253t_unit,X1262: fun_Pr5215307506330550056Heap_a] :
( ( ~ ( ~ time_fails_a(aa_Pro7886978635576167513Heap_a(X1262,time_t2745601220510131320t_unit(X34,X1)),time_t3350536682685678164t_unit(X34,X1))
& ~ time_f8834461667527620124t_unit(X34,X1) )
=> ( time_time_a(heap_T757603679106148408unit_a(X34,X1262),X1) = zero_zero_nat ) )
& ( ( ~ time_fails_a(aa_Pro7886978635576167513Heap_a(X1262,time_t2745601220510131320t_unit(X34,X1)),time_t3350536682685678164t_unit(X34,X1))
& ~ time_f8834461667527620124t_unit(X34,X1) )
=> ( time_time_a(heap_T757603679106148408unit_a(X34,X1262),X1) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,time_t4224138285095624986t_unit(X34,X1)),time_time_a(aa_Pro7886978635576167513Heap_a(X1262,time_t2745601220510131320t_unit(X34,X1)),time_t3350536682685678164t_unit(X34,X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_566_time__bind) ).
tff(fact_219_bot__nat__0_Oextremum,axiom,
! [X606: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,zero_zero_nat),X606)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_219_bot__nat__0_Oextremum) ).
tff(fact_299_fails__assert_H,axiom,
! [X677: bool,X1: heap_e7401611519738050253t_unit] :
( time_f8834461667527620124t_unit(refine_Imp_assert(X677),X1)
<=> ~ pp(X677) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_299_fails__assert_H) ).
tff(help_fTrue_1_1_U,axiom,
pp(fTrue),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fTrue_1_1_U) ).
tff(fact_0__092_060open_062_092_060And_062h_O_AP_A_092_060Longrightarrow_062_Atime_Am_Ah_A_092_060le_062_At_092_060close_062,axiom,
! [X1: heap_e7401611519738050253t_unit] :
( pp(p)
=> pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,time_time_a(m,X1)),t)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060And_062h_O_AP_A_092_060Longrightarrow_062_Atime_Am_Ah_A_092_060le_062_At_092_060close_062) ).
tff(fact_5898_assert_H__def,axiom,
! [X10890: bool] :
( ( ~ pp(X10890)
=> ( refine_Imp_assert(X10890) = 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(X10890)
=> ( refine_Imp_assert(X10890) = aa_Pro1108561329362217960t_unit(heap_T4284346855313245393t_unit,product_Unity) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5898_assert_H__def) ).
tff(fact_217_ureturn__bind,axiom,
! [X602: product_unit,X603: fun_Pr5215307506330550056Heap_a] : ( heap_T757603679106148408unit_a(aa_Pro1108561329362217960t_unit(heap_T4284346855313245393t_unit,X602),X603) = aa_Pro7886978635576167513Heap_a(X603,X602) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_217_ureturn__bind) ).
tff(fact_6242_ATP_Olambda__172,axiom,
! [X11423: product_unit] : ( aa_Pro7886978635576167513Heap_a(aTP_Lamm_a,X11423) = m ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6242_ATP_Olambda__172) ).
tff(c_0_11,plain,
~ pp(fFalse),
inference(fof_simplification,[status(thm)],[help_fFalse_1_1_U]) ).
tff(c_0_12,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(assume_negation,[status(cth)],[conj_0]) ).
tff(c_0_13,plain,
~ pp(fFalse),
inference(fof_nnf,[status(thm)],[c_0_11]) ).
tff(c_0_14,plain,
! [X15456: bool] :
( ( X15456 = fFalse )
| ( X15456 = fTrue ) ),
inference(variable_rename,[status(thm)],[help_If_3_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_T]) ).
tff(c_0_15,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(fof_simplification,[status(thm)],[c_0_12]) ).
tff(c_0_16,plain,
! [X34: heap_T5738788834812785303t_unit,X1: heap_e7401611519738050253t_unit,X1262: fun_Pr5215307506330550056Heap_a] :
( ( ~ ( ~ time_fails_a(aa_Pro7886978635576167513Heap_a(X1262,time_t2745601220510131320t_unit(X34,X1)),time_t3350536682685678164t_unit(X34,X1))
& ~ time_f8834461667527620124t_unit(X34,X1) )
=> ( time_time_a(heap_T757603679106148408unit_a(X34,X1262),X1) = zero_zero_nat ) )
& ( ( ~ time_fails_a(aa_Pro7886978635576167513Heap_a(X1262,time_t2745601220510131320t_unit(X34,X1)),time_t3350536682685678164t_unit(X34,X1))
& ~ time_f8834461667527620124t_unit(X34,X1) )
=> ( time_time_a(heap_T757603679106148408unit_a(X34,X1262),X1) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,time_t4224138285095624986t_unit(X34,X1)),time_time_a(aa_Pro7886978635576167513Heap_a(X1262,time_t2745601220510131320t_unit(X34,X1)),time_t3350536682685678164t_unit(X34,X1))) ) ) ),
inference(fof_simplification,[status(thm)],[fact_566_time__bind]) ).
tcf(c_0_17,plain,
~ pp(fFalse),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
tcf(c_0_18,plain,
! [X26: bool] :
( ( X26 = fFalse )
| ( X26 = fTrue ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
tff(c_0_19,plain,
! [X11592: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,zero_zero_nat),X11592)),
inference(variable_rename,[status(thm)],[fact_219_bot__nat__0_Oextremum]) ).
tff(c_0_20,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(fof_nnf,[status(thm)],[c_0_15]) ).
tff(c_0_21,plain,
! [X12758: heap_T5738788834812785303t_unit,X12759: heap_e7401611519738050253t_unit,X12760: fun_Pr5215307506330550056Heap_a] :
( ( ( time_time_a(heap_T757603679106148408unit_a(X12758,X12760),X12759) = zero_zero_nat )
| ~ time_fails_a(aa_Pro7886978635576167513Heap_a(X12760,time_t2745601220510131320t_unit(X12758,X12759)),time_t3350536682685678164t_unit(X12758,X12759)) )
& ( ( time_time_a(heap_T757603679106148408unit_a(X12758,X12760),X12759) = zero_zero_nat )
| ~ time_f8834461667527620124t_unit(X12758,X12759) )
& ( ( time_time_a(heap_T757603679106148408unit_a(X12758,X12760),X12759) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,time_t4224138285095624986t_unit(X12758,X12759)),time_time_a(aa_Pro7886978635576167513Heap_a(X12760,time_t2745601220510131320t_unit(X12758,X12759)),time_t3350536682685678164t_unit(X12758,X12759))) )
| time_fails_a(aa_Pro7886978635576167513Heap_a(X12760,time_t2745601220510131320t_unit(X12758,X12759)),time_t3350536682685678164t_unit(X12758,X12759))
| time_f8834461667527620124t_unit(X12758,X12759) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
tcf(c_0_22,plain,
! [X26: bool] :
( ~ pp(X26)
| ( X26 = fTrue ) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
tcf(c_0_23,plain,
! [X19: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,zero_zero_nat),X19)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
tff(c_0_24,plain,
! [X677: bool,X1: heap_e7401611519738050253t_unit] :
( time_f8834461667527620124t_unit(refine_Imp_assert(X677),X1)
<=> ~ pp(X677) ),
inference(fof_simplification,[status(thm)],[fact_299_fails__assert_H]) ).
tcf(c_0_25,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(split_conjunct,[status(thm)],[c_0_20]) ).
tcf(c_0_26,plain,
! [X3: fun_Pr5215307506330550056Heap_a,X2: heap_T5738788834812785303t_unit,X1: heap_e7401611519738050253t_unit] :
( ~ time_f8834461667527620124t_unit(X2,X1)
| ( time_time_a(heap_T757603679106148408unit_a(X2,X3),X1) = zero_zero_nat ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
tcf(c_0_27,plain,
! [X19: nat] : aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,zero_zero_nat),X19) = fTrue,
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
tcf(c_0_28,plain,
pp(fTrue),
inference(split_conjunct,[status(thm)],[help_fTrue_1_1_U]) ).
tff(c_0_29,plain,
! [X12798: bool,X12799: heap_e7401611519738050253t_unit] :
( ( time_f8834461667527620124t_unit(refine_Imp_assert(X12798),X12799)
| pp(X12798) )
& ( ~ pp(X12798)
| ~ time_f8834461667527620124t_unit(refine_Imp_assert(X12798),X12799) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
tff(c_0_30,plain,
! [X12731: heap_e7401611519738050253t_unit] :
( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,time_time_a(m,X12731)),t))
| ~ pp(p) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0__092_060open_062_092_060And_062h_O_AP_A_092_060Longrightarrow_062_Atime_Am_Ah_A_092_060le_062_At_092_060close_062])])]) ).
tcf(c_0_31,negated_conjecture,
~ time_f8834461667527620124t_unit(refine_Imp_assert(p),h),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28])]) ).
tcf(c_0_32,plain,
! [X26: bool,X1: heap_e7401611519738050253t_unit] :
( time_f8834461667527620124t_unit(refine_Imp_assert(X26),X1)
| pp(X26) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
tff(c_0_33,plain,
! [X10890: bool] :
( ( ~ pp(X10890)
=> ( refine_Imp_assert(X10890) = 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(X10890)
=> ( refine_Imp_assert(X10890) = aa_Pro1108561329362217960t_unit(heap_T4284346855313245393t_unit,product_Unity) ) ) ),
inference(fof_simplification,[status(thm)],[fact_5898_assert_H__def]) ).
tcf(c_0_34,plain,
! [X1: heap_e7401611519738050253t_unit] :
( ~ pp(p)
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,time_time_a(m,X1)),t)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
tcf(c_0_35,negated_conjecture,
pp(p),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
tff(c_0_36,plain,
! [X12800: bool] :
( ( ( refine_Imp_assert(X12800) = 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(X12800) )
& ( ( refine_Imp_assert(X12800) = aa_Pro1108561329362217960t_unit(heap_T4284346855313245393t_unit,product_Unity) )
| ~ pp(X12800) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
tff(c_0_37,plain,
! [X12770: product_unit,X12771: fun_Pr5215307506330550056Heap_a] : ( heap_T757603679106148408unit_a(aa_Pro1108561329362217960t_unit(heap_T4284346855313245393t_unit,X12770),X12771) = aa_Pro7886978635576167513Heap_a(X12771,X12770) ),
inference(variable_rename,[status(thm)],[fact_217_ureturn__bind]) ).
tff(c_0_38,plain,
! [X12784: product_unit] : ( aa_Pro7886978635576167513Heap_a(aTP_Lamm_a,X12784) = m ),
inference(variable_rename,[status(thm)],[fact_6242_ATP_Olambda__172]) ).
tcf(c_0_39,plain,
! [X1: heap_e7401611519738050253t_unit] : pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,time_time_a(m,X1)),t)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).
tcf(c_0_40,plain,
! [X26: bool] :
( ~ pp(X26)
| ( refine_Imp_assert(X26) = aa_Pro1108561329362217960t_unit(heap_T4284346855313245393t_unit,product_Unity) ) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
tcf(c_0_41,plain,
! [X3: fun_Pr5215307506330550056Heap_a,X602: product_unit] : heap_T757603679106148408unit_a(aa_Pro1108561329362217960t_unit(heap_T4284346855313245393t_unit,X602),X3) = aa_Pro7886978635576167513Heap_a(X3,X602),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
tcf(c_0_42,plain,
! [X602: product_unit] : aa_Pro7886978635576167513Heap_a(aTP_Lamm_a,X602) = m,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
tcf(c_0_43,plain,
! [X1: heap_e7401611519738050253t_unit] : aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,time_time_a(m,X1)),t) = fTrue,
inference(spm,[status(thm)],[c_0_22,c_0_39]) ).
tcf(c_0_44,negated_conjecture,
p = fTrue,
inference(spm,[status(thm)],[c_0_22,c_0_35]) ).
cnf(c_0_45,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_28]),c_0_44]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP217_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 22:09:34 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.10/4.36 % Version: 3.5.1
% 22.10/4.36 % Preprocessing class: FMLLSMLLSSSNFFN.
% 22.10/4.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.10/4.36 % Starting new_bool_3 with 900s (3) cores
% 22.10/4.36 % Starting new_bool_1 with 900s (3) cores
% 22.10/4.36 % Starting sh5l with 300s (1) cores
% 22.10/4.36 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 22.10/4.36 % sh5l with pid 1855442 completed with status 0
% 22.10/4.36 % Result found by sh5l
% 22.10/4.36 % Preprocessing class: FMLLSMLLSSSNFFN.
% 22.10/4.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.10/4.36 % Starting new_bool_3 with 900s (3) cores
% 22.10/4.36 % Starting new_bool_1 with 900s (3) cores
% 22.10/4.36 % Starting sh5l with 300s (1) cores
% 22.10/4.36 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 22.10/4.36 % SinE strategy is gf500_gu_R04_F100_L20000
% 22.10/4.36 % Search class: FGHSM-SMLM32-DFFFFFNN
% 22.10/4.36 % Scheduled 13 strats onto 1 cores with 298 seconds (298 total)
% 22.10/4.36 % Starting SubtermCWHack with 27s (1) cores
% 22.10/4.36 % SubtermCWHack with pid 1855451 completed with status 0
% 22.10/4.36 % Result found by SubtermCWHack
% 22.10/4.36 % Preprocessing class: FMLLSMLLSSSNFFN.
% 22.10/4.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.10/4.36 % Starting new_bool_3 with 900s (3) cores
% 22.10/4.36 % Starting new_bool_1 with 900s (3) cores
% 22.10/4.36 % Starting sh5l with 300s (1) cores
% 22.10/4.36 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 22.10/4.36 % SinE strategy is gf500_gu_R04_F100_L20000
% 22.10/4.36 % Search class: FGHSM-SMLM32-DFFFFFNN
% 22.10/4.36 % Scheduled 13 strats onto 1 cores with 298 seconds (298 total)
% 22.10/4.36 % Starting SubtermCWHack with 27s (1) cores
% 22.10/4.36 % Preprocessing time : 0.566 s
% 22.10/4.36
% 22.10/4.36 % Proof found!
% 22.10/4.36 % SZS status Theorem
% 22.10/4.36 % SZS output start CNFRefutation
% See solution above
% 22.10/4.36 % Parsed axioms : 7749
% 22.10/4.36 % Removed by relevancy pruning/SinE : 2605
% 22.10/4.36 % Initial clauses : 49209
% 22.10/4.36 % Removed in clause preprocessing : 306
% 22.10/4.36 % Initial clauses in saturation : 48903
% 22.10/4.36 % Processed clauses : 5290
% 22.10/4.36 % ...of these trivial : 304
% 22.10/4.36 % ...subsumed : 2563
% 22.10/4.36 % ...remaining for further processing : 2422
% 22.10/4.36 % Other redundant clauses eliminated : 754
% 22.10/4.36 % Clauses deleted for lack of memory : 0
% 22.10/4.36 % Backward-subsumed : 17
% 22.10/4.36 % Backward-rewritten : 358
% 22.10/4.36 % Generated clauses : 19920
% 22.10/4.36 % ...of the previous two non-redundant : 12123
% 22.10/4.36 % ...aggressively subsumed : 0
% 22.10/4.36 % Contextual simplify-reflections : 1
% 22.10/4.36 % Paramodulations : 19119
% 22.10/4.36 % Factorizations : 50
% 22.10/4.36 % NegExts : 0
% 22.10/4.36 % Equation resolutions : 783
% 22.10/4.36 % Disequality decompositions : 0
% 22.10/4.36 % Total rewrite steps : 11762
% 22.10/4.36 % ...of those cached : 10365
% 22.10/4.36 % Propositional unsat checks : 0
% 22.10/4.36 % Propositional check models : 0
% 22.10/4.36 % Propositional check unsatisfiable : 0
% 22.10/4.36 % Propositional clauses : 0
% 22.10/4.36 % Propositional clauses after purity: 0
% 22.10/4.36 % Propositional unsat core size : 0
% 22.10/4.36 % Propositional preprocessing time : 0.000
% 22.10/4.36 % Propositional encoding time : 0.000
% 22.10/4.36 % Propositional solver time : 0.000
% 22.10/4.36 % Success case prop preproc time : 0.000
% 22.10/4.36 % Success case prop encoding time : 0.000
% 22.10/4.36 % Success case prop solver time : 0.000
% 22.10/4.36 % Current number of processed clauses : 1520
% 22.10/4.36 % Positive orientable unit clauses : 963
% 22.10/4.36 % Positive unorientable unit clauses: 10
% 22.10/4.36 % Negative unit clauses : 103
% 22.10/4.36 % Non-unit-clauses : 444
% 22.10/4.36 % Current number of unprocessed clauses: 55006
% 22.10/4.36 % ...number of literals in the above : 410425
% 22.10/4.36 % Current number of archived formulas : 0
% 22.10/4.36 % Current number of archived clauses : 375
% 22.10/4.36 % Clause-clause subsumption calls (NU) : 75739
% 22.10/4.36 % Rec. Clause-clause subsumption calls : 63673
% 22.10/4.36 % Non-unit clause-clause subsumptions : 1781
% 22.10/4.36 % Unit Clause-clause subsumption calls : 9439
% 22.10/4.36 % Rewrite failures with RHS unbound : 16
% 22.10/4.36 % BW rewrite match attempts : 2053
% 22.10/4.36 % BW rewrite match successes : 455
% 22.10/4.36 % Condensation attempts : 0
% 22.10/4.36 % Condensation successes : 0
% 22.10/4.36 % Termbank termtop insertions : 3429210
% 22.10/4.36 % Search garbage collected termcells : 349153
% 22.10/4.36
% 22.10/4.36 % -------------------------------------------------
% 22.10/4.36 % User time : 2.935 s
% 22.10/4.36 % System time : 0.181 s
% 22.10/4.36 % Total time : 3.116 s
% 22.10/4.36 % Maximum resident set size: 130376 pages
% 22.10/4.36
% 22.10/4.36 % -------------------------------------------------
% 22.10/4.36 % User time : 3.635 s
% 22.10/4.36 % System time : 0.214 s
% 22.10/4.36 % Total time : 3.850 s
% 22.10/4.36 % Maximum resident set size: 20736 pages
% 22.10/4.36 % E exiting
%------------------------------------------------------------------------------