TSTP Solution File: NUM925+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM925+3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n024.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 10:41:29 EDT 2023
% Result : Theorem 0.63s 1.15s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 130
% Syntax : Number of formulae : 171 ( 42 unt; 113 typ; 0 def)
% Number of atoms : 89 ( 50 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 59 ( 28 ~; 22 |; 3 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 121 ( 68 >; 53 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 110 ( 110 usr; 45 con; 0-3 aty)
% Number of variables : 48 ( 5 sgn; 27 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
is_int: $i > $o ).
tff(decl_23,type,
abs_abs_int: $i > $i ).
tff(decl_24,type,
minus_minus_int: ( $i * $i ) > $i ).
tff(decl_25,type,
one_one_int: $i ).
tff(decl_26,type,
plus_plus_int: ( $i * $i ) > $i ).
tff(decl_27,type,
times_times_int: ( $i * $i ) > $i ).
tff(decl_28,type,
zero_zero_int: $i ).
tff(decl_29,type,
int: $i ).
tff(decl_30,type,
undefined_int: $i > $i ).
tff(decl_31,type,
is_bool: $i > $o ).
tff(decl_32,type,
if_int: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
bit0: $i > $i ).
tff(decl_34,type,
bit1: $i > $i ).
tff(decl_35,type,
min: $i ).
tff(decl_36,type,
pls: $i ).
tff(decl_37,type,
number_number_of_int: $i > $i ).
tff(decl_38,type,
succ: $i > $i ).
tff(decl_39,type,
legendre: ( $i * $i ) > $i ).
tff(decl_40,type,
fFalse: $i ).
tff(decl_41,type,
fTrue: $i ).
tff(decl_42,type,
hAPP_int_bool: ( $i * $i ) > $i ).
tff(decl_43,type,
hAPP_nat_bool: ( $i * $i ) > $i ).
tff(decl_44,type,
hAPP_nat_int: ( $i * $i ) > $i ).
tff(decl_45,type,
hAPP_real_bool: ( $i * $i ) > $i ).
tff(decl_46,type,
m: $i ).
tff(decl_47,type,
m1: $i ).
tff(decl_48,type,
s1: $i ).
tff(decl_49,type,
s: $i ).
tff(decl_50,type,
t: $i ).
tff(decl_51,type,
x: $i ).
tff(decl_52,type,
y: $i ).
tff(decl_53,type,
ord_less_int: $i ).
tff(decl_54,type,
hAPP_i1948725293t_bool: ( $i * $i ) > $i ).
tff(decl_55,type,
semiri1621563631at_int: $i ).
tff(decl_56,type,
n: $i ).
tff(decl_57,type,
hBOOL: $i > $o ).
tff(decl_58,type,
power_power_int: $i > $i ).
tff(decl_59,type,
number_number_of_nat: $i > $i ).
tff(decl_60,type,
power_power_real: $i > $i ).
tff(decl_61,type,
hAPP_nat_real: ( $i * $i ) > $i ).
tff(decl_62,type,
plus_plus_real: ( $i * $i ) > $i ).
tff(decl_63,type,
zero_zero_real: $i ).
tff(decl_64,type,
one_one_nat: $i ).
tff(decl_65,type,
power_power_nat: $i > $i ).
tff(decl_66,type,
hAPP_nat_nat: ( $i * $i ) > $i ).
tff(decl_67,type,
one_one_real: $i ).
tff(decl_68,type,
zero_zero_nat: $i ).
tff(decl_69,type,
number267125858f_real: $i > $i ).
tff(decl_70,type,
plus_plus_nat: ( $i * $i ) > $i ).
tff(decl_71,type,
ord_less_nat: $i ).
tff(decl_72,type,
hAPP_n1699378549t_bool: ( $i * $i ) > $i ).
tff(decl_73,type,
ord_less_real: $i ).
tff(decl_74,type,
hAPP_r1134773055l_bool: ( $i * $i ) > $i ).
tff(decl_75,type,
semiri984289939at_nat: $i ).
tff(decl_76,type,
semiri132038758t_real: $i ).
tff(decl_77,type,
tn: $i ).
tff(decl_78,type,
if_nat: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
ord_less_eq_int: $i ).
tff(decl_80,type,
nat: $i > $i ).
tff(decl_81,type,
minus_minus_nat: ( $i * $i ) > $i ).
tff(decl_82,type,
ord_less_eq_real: $i ).
tff(decl_83,type,
minus_minus_real: ( $i * $i ) > $i ).
tff(decl_84,type,
times_times_nat: ( $i * $i ) > $i ).
tff(decl_85,type,
times_times_real: ( $i * $i ) > $i ).
tff(decl_86,type,
ord_less_eq_nat: $i ).
tff(decl_87,type,
twoSqu1154269391sum2sq: $i ).
tff(decl_88,type,
zprime: $i ).
tff(decl_89,type,
dvd_dvd_int: $i ).
tff(decl_90,type,
quadRes: $i > $i ).
tff(decl_91,type,
zcong: ( $i * $i ) > $i ).
tff(decl_92,type,
dvd_dvd_nat: $i ).
tff(decl_93,type,
abs_abs_real: $i > $i ).
tff(decl_94,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
esk2_1: $i > $i ).
tff(decl_96,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_97,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_98,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_99,type,
esk6_1: $i > $i ).
tff(decl_100,type,
esk7_1: $i > $i ).
tff(decl_101,type,
esk8_1: $i > $i ).
tff(decl_102,type,
esk9_1: $i > $i ).
tff(decl_103,type,
esk10_1: $i > $i ).
tff(decl_104,type,
esk11_1: $i > $i ).
tff(decl_105,type,
esk12_1: $i > $i ).
tff(decl_106,type,
esk13_1: $i > $i ).
tff(decl_107,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_108,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_109,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_110,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_111,type,
esk18_0: $i ).
tff(decl_112,type,
esk19_0: $i ).
tff(decl_113,type,
esk20_0: $i ).
tff(decl_114,type,
esk21_0: $i ).
tff(decl_115,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_116,type,
esk23_0: $i ).
tff(decl_117,type,
esk24_0: $i ).
tff(decl_118,type,
esk25_0: $i ).
tff(decl_119,type,
esk26_0: $i ).
tff(decl_120,type,
esk27_2: ( $i * $i ) > $i ).
tff(decl_121,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_122,type,
esk29_1: $i > $i ).
tff(decl_123,type,
esk30_0: $i ).
tff(decl_124,type,
esk31_0: $i ).
tff(decl_125,type,
esk32_0: $i ).
tff(decl_126,type,
esk33_0: $i ).
tff(decl_127,type,
esk34_2: ( $i * $i ) > $i ).
tff(decl_128,type,
esk35_3: ( $i * $i * $i ) > $i ).
tff(decl_129,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_130,type,
esk37_3: ( $i * $i * $i ) > $i ).
tff(decl_131,type,
esk38_3: ( $i * $i * $i ) > $i ).
tff(decl_132,type,
esk39_3: ( $i * $i * $i ) > $i ).
tff(decl_133,type,
esk40_3: ( $i * $i * $i ) > $i ).
tff(decl_134,type,
esk41_3: ( $i * $i * $i ) > $i ).
fof(fact_809_succ__Bit0,axiom,
! [X22] : succ(bit0(X22)) = bit1(X22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_809_succ__Bit0) ).
fof(fact_103_Bit0__def,axiom,
! [X22] : bit0(X22) = plus_plus_int(X22,X22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_Bit0__def) ).
fof(fact_814_succ__def,axiom,
! [X22] : succ(X22) = plus_plus_int(X22,one_one_int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_814_succ__def) ).
fof(conj_0,conjecture,
hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_767_nat__number__of__def,axiom,
! [X14] : number_number_of_nat(X14) = nat(number_number_of_int(X14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_767_nat__number__of__def) ).
fof(fact_16_one__add__one__is__two,axiom,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_one__add__one__is__two) ).
fof(fact_97_Bit0__Pls,axiom,
bit0(pls) = pls,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_Bit0__Pls) ).
fof(fact_231_field__power__not__zero,axiom,
! [X65,X66] :
( is_int(X66)
=> ( X66 != zero_zero_int
=> hAPP_nat_int(power_power_int(X66),X65) != zero_zero_int ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_231_field__power__not__zero) ).
fof(fact_98_Pls__def,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_Pls__def) ).
fof(fact_807_int__le__0__conv,axiom,
! [X19] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,X19)),zero_zero_int))
<=> X19 = zero_zero_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_807_int__le__0__conv) ).
fof(fact_789_zle__iff__zadd,axiom,
! [X26,X31] :
( is_int(X31)
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X26),X31))
<=> ? [X91] : X31 = plus_plus_int(X26,hAPP_nat_int(semiri1621563631at_int,X91)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_789_zle__iff__zadd) ).
fof(gsy_c_Groups_Oplus__class_Oplus_000tc__Int__Oint,hypothesis,
! [X1,X2] :
( ( is_int(X1)
& is_int(X2) )
=> is_int(plus_plus_int(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Groups_Oplus__class_Oplus_000tc__Int__Oint) ).
fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__Int__Oint,hypothesis,
! [X1,X2] : is_int(hAPP_nat_int(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Nat__Onat_000tc__Int__Oint) ).
fof(gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint,hypothesis,
is_int(one_one_int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint) ).
fof(gsy_c_Groups_Ozero__class_Ozero_000tc__Int__Oint,hypothesis,
is_int(zero_zero_int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Groups_Ozero__class_Ozero_000tc__Int__Oint) ).
fof(fact_254_transfer__int__nat__numerals_I2_J,axiom,
one_one_int = hAPP_nat_int(semiri1621563631at_int,one_one_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_254_transfer__int__nat__numerals_I2_J) ).
fof(fact_226_one__neq__zero,axiom,
one_one_nat != zero_zero_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_226_one__neq__zero) ).
fof(c_0_17,plain,
! [X2084] : succ(bit0(X2084)) = bit1(X2084),
inference(variable_rename,[status(thm)],[fact_809_succ__Bit0]) ).
fof(c_0_18,plain,
! [X535] : bit0(X535) = plus_plus_int(X535,X535),
inference(variable_rename,[status(thm)],[fact_103_Bit0__def]) ).
fof(c_0_19,plain,
! [X2092] : succ(X2092) = plus_plus_int(X2092,one_one_int),
inference(variable_rename,[status(thm)],[fact_814_succ__def]) ).
cnf(c_0_20,plain,
succ(bit0(X1)) = bit1(X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
bit0(X1) = plus_plus_int(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
succ(X1) = plus_plus_int(X1,one_one_int),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_23,negated_conjecture,
hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
fof(c_0_24,plain,
! [X1991] : number_number_of_nat(X1991) = nat(number_number_of_int(X1991)),
inference(variable_rename,[status(thm)],[fact_767_nat__number__of__def]) ).
cnf(c_0_25,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))),
inference(split_conjunct,[status(thm)],[fact_16_one__add__one__is__two]) ).
cnf(c_0_26,plain,
plus_plus_int(plus_plus_int(X1,X1),one_one_int) = bit1(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_27,plain,
bit0(pls) = pls,
inference(split_conjunct,[status(thm)],[fact_97_Bit0__Pls]) ).
fof(c_0_28,plain,
! [X721,X722] :
( ~ is_int(X722)
| X722 = zero_zero_int
| hAPP_nat_int(power_power_int(X722),X721) != zero_zero_int ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_231_field__power__not__zero])]) ).
cnf(c_0_29,negated_conjecture,
hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
number_number_of_nat(X1) = nat(number_number_of_int(X1)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(pls,pls),one_one_int),plus_plus_int(plus_plus_int(pls,pls),one_one_int))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_21]),c_0_26]),c_0_26]) ).
cnf(c_0_32,plain,
plus_plus_int(pls,pls) = pls,
inference(rw,[status(thm)],[c_0_27,c_0_21]) ).
cnf(c_0_33,plain,
( X1 = zero_zero_int
| ~ is_int(X1)
| hAPP_nat_int(power_power_int(X1),X2) != zero_zero_int ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
pls = zero_zero_int,
inference(split_conjunct,[status(thm)],[fact_98_Pls__def]) ).
cnf(c_0_35,negated_conjecture,
hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),nat(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(pls,pls),one_one_int),plus_plus_int(plus_plus_int(pls,pls),one_one_int))))) = zero_zero_int,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_21]),c_0_30]),c_0_26]),c_0_26]) ).
cnf(c_0_36,plain,
number_number_of_int(plus_plus_int(plus_plus_int(pls,one_one_int),plus_plus_int(pls,one_one_int))) = plus_plus_int(one_one_int,one_one_int),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32]),c_0_32]) ).
fof(c_0_37,plain,
! [X2083] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,X2083)),zero_zero_int))
| X2083 = zero_zero_nat )
& ( X2083 != zero_zero_nat
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,X2083)),zero_zero_int)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_807_int__le__0__conv])]) ).
fof(c_0_38,plain,
! [X2037,X2038,X2040] :
( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2037),X2038))
| X2038 = plus_plus_int(X2037,hAPP_nat_int(semiri1621563631at_int,esk14_2(X2037,X2038)))
| ~ is_int(X2038) )
& ( X2038 != plus_plus_int(X2037,hAPP_nat_int(semiri1621563631at_int,X2040))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2037),X2038))
| ~ is_int(X2038) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_789_zle__iff__zadd])])])])]) ).
cnf(c_0_39,plain,
( X1 = pls
| hAPP_nat_int(power_power_int(X1),X2) != pls
| ~ is_int(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34]),c_0_34]) ).
cnf(c_0_40,negated_conjecture,
hAPP_nat_int(power_power_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),nat(plus_plus_int(one_one_int,one_one_int))) = pls,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_32]),c_0_32]),c_0_36]),c_0_34]) ).
fof(c_0_41,hypothesis,
! [X406,X407] :
( ~ is_int(X406)
| ~ is_int(X407)
| is_int(plus_plus_int(X406,X407)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Groups_Oplus__class_Oplus_000tc__Int__Oint])]) ).
fof(c_0_42,hypothesis,
! [X423,X424] : is_int(hAPP_nat_int(X423,X424)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Nat__Onat_000tc__Int__Oint]) ).
cnf(c_0_43,plain,
( X1 = zero_zero_nat
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,X1)),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X1))
| X1 != plus_plus_int(X2,hAPP_nat_int(semiri1621563631at_int,X3))
| ~ is_int(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,negated_conjecture,
( plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)) = pls
| ~ is_int(plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,hypothesis,
( is_int(plus_plus_int(X1,X2))
| ~ is_int(X1)
| ~ is_int(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,hypothesis,
is_int(hAPP_nat_int(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,hypothesis,
is_int(one_one_int),
inference(split_conjunct,[status(thm)],[gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint]) ).
cnf(c_0_49,hypothesis,
is_int(zero_zero_int),
inference(split_conjunct,[status(thm)],[gsy_c_Groups_Ozero__class_Ozero_000tc__Int__Oint]) ).
cnf(c_0_50,plain,
( X1 = zero_zero_nat
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,X1)),pls)) ),
inference(rw,[status(thm)],[c_0_43,c_0_34]) ).
cnf(c_0_51,plain,
one_one_int = hAPP_nat_int(semiri1621563631at_int,one_one_nat),
inference(split_conjunct,[status(thm)],[fact_254_transfer__int__nat__numerals_I2_J]) ).
cnf(c_0_52,plain,
one_one_nat != zero_zero_nat,
inference(split_conjunct,[status(thm)],[fact_226_one__neq__zero]) ).
cnf(c_0_53,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),plus_plus_int(X1,hAPP_nat_int(semiri1621563631at_int,X2))))
| ~ is_int(plus_plus_int(X1,hAPP_nat_int(semiri1621563631at_int,X2))) ),
inference(er,[status(thm)],[c_0_44]) ).
cnf(c_0_54,hypothesis,
plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n)) = pls,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48])]) ).
cnf(c_0_55,hypothesis,
is_int(pls),
inference(rw,[status(thm)],[c_0_49,c_0_34]) ).
cnf(c_0_56,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),pls)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_57,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]),c_0_56]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM925+3 : TPTP v8.1.2. Released v5.3.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 09:02:54 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.63/1.15 % Version : CSE_E---1.5
% 0.63/1.15 % Problem : theBenchmark.p
% 0.63/1.15 % Proof found
% 0.63/1.15 % SZS status Theorem for theBenchmark.p
% 0.63/1.15 % SZS output start Proof
% See solution above
% 0.63/1.16 % Total time : 0.540000 s
% 0.63/1.16 % SZS output end Proof
% 0.63/1.16 % Total time : 0.583000 s
%------------------------------------------------------------------------------