%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM926+7 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% 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 : 600s
% DateTime : Mon Jul 18 09:37:55 EDT 2022
% Result : Theorem 0.54s 25.71s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 66 ( 53 unt; 0 def)
% Number of atoms : 85 ( 64 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 14 |; 0 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 10 con; 0-4 aty)
% Number of variables : 72 ( 8 sgn 34 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
? [X6,X7] : hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X6),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,X7),number_number_of(nat,bit0(bit1(pls))))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(fact_128_Bit0__def,axiom,
! [X19] : bit0(X19) = hAPP(int,int,plus_plus(int,X19),X19),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_128_Bit0__def) ).
fof(fact_126_add__Pls,axiom,
! [X19] : hAPP(int,int,plus_plus(int,pls),X19) = ti(int,X19),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_126_add__Pls) ).
fof(fact_88_number__of__is__id,axiom,
! [X19] : number_number_of(int,X19) = ti(int,X19),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_88_number__of__is__id) ).
fof(tsy_c_Int_OBit1_res,hypothesis,
! [X4] : ti(int,bit1(X4)) = bit1(X4),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',tsy_c_Int_OBit1_res) ).
fof(fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06,axiom,
( t = one_one(int)
=> ? [X6,X7] : hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X6),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,X7),number_number_of(nat,bit0(bit1(pls))))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
fof(fact_37_nat__1__add__1,axiom,
hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,bit0(bit1(pls))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_37_nat__1__add__1) ).
fof(fact_151_add__Bit1__Bit0,axiom,
! [X19,X50] : hAPP(int,int,plus_plus(int,bit1(X19)),bit0(X50)) = bit1(hAPP(int,int,plus_plus(int,X19),X50)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_151_add__Bit1__Bit0) ).
fof(fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06,axiom,
( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t))
=> ? [X6,X7] : hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X6),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,X7),number_number_of(nat,bit0(bit1(pls))))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
fof(fact_91_zadd__commute,axiom,
! [X16,X12] : hAPP(int,int,plus_plus(int,X16),X12) = hAPP(int,int,plus_plus(int,X12),X16),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_91_zadd__commute) ).
fof(fact_160_one__is__num__one,axiom,
one_one(int) = number_number_of(int,bit1(pls)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_160_one__is__num__one) ).
fof(fact_89_zadd__assoc,axiom,
! [X42,X43,X44] : hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,X42),X43)),X44) = hAPP(int,int,plus_plus(int,X42),hAPP(int,int,plus_plus(int,X43),X44)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_89_zadd__assoc) ).
fof(fact_87_zmult__commute,axiom,
! [X16,X12] : hAPP(int,int,times_times(int,X16),X12) = hAPP(int,int,times_times(int,X12),X16),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_87_zmult__commute) ).
fof(fact_332_order__le__neq__implies__less,axiom,
! [X3] :
( order(X3)
=> ! [X10,X11] :
( hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less_eq(X3),X10),X11))
=> ( ti(X3,X10) != ti(X3,X11)
=> hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less(X3),X10),X11)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_332_order__le__neq__implies__less) ).
fof(fact_0_tpos,axiom,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),t)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_0_tpos) ).
fof(tsy_v_t_____res,axiom,
ti(int,t) = t,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',tsy_v_t_____res) ).
fof(arity_Int_Oint___Orderings_Oorder,axiom,
order(int),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',arity_Int_Oint___Orderings_Oorder) ).
fof(c_0_17,negated_conjecture,
~ ? [X6,X7] : hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X6),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,X7),number_number_of(nat,bit0(bit1(pls))))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_18,negated_conjecture,
! [X8,X9] : hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X8),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,X9),number_number_of(nat,bit0(bit1(pls))))) != hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])]) ).
fof(c_0_19,plain,
! [X20] : bit0(X20) = hAPP(int,int,plus_plus(int,X20),X20),
inference(variable_rename,[status(thm)],[fact_128_Bit0__def]) ).
fof(c_0_20,plain,
! [X20] : hAPP(int,int,plus_plus(int,pls),X20) = ti(int,X20),
inference(variable_rename,[status(thm)],[fact_126_add__Pls]) ).
fof(c_0_21,plain,
! [X20] : number_number_of(int,X20) = ti(int,X20),
inference(variable_rename,[status(thm)],[fact_88_number__of__is__id]) ).
fof(c_0_22,hypothesis,
! [X5] : ti(int,bit1(X5)) = bit1(X5),
inference(variable_rename,[status(thm)],[tsy_c_Int_OBit1_res]) ).
fof(c_0_23,plain,
( t != one_one(int)
| hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,esk1_0),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,esk2_0),number_number_of(nat,bit0(bit1(pls))))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06])])])])]) ).
cnf(c_0_24,negated_conjecture,
hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X1),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,X2),number_number_of(nat,bit0(bit1(pls))))) != hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
bit0(X1) = hAPP(int,int,plus_plus(int,X1),X1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,bit0(bit1(pls))),
inference(split_conjunct,[status(thm)],[fact_37_nat__1__add__1]) ).
cnf(c_0_27,plain,
hAPP(int,int,plus_plus(int,pls),X1) = ti(int,X1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
number_number_of(int,X1) = ti(int,X1),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,hypothesis,
ti(int,bit1(X1)) = bit1(X1),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_30,plain,
! [X51,X52] : hAPP(int,int,plus_plus(int,bit1(X51)),bit0(X52)) = bit1(hAPP(int,int,plus_plus(int,X51),X52)),
inference(variable_rename,[status(thm)],[fact_151_add__Bit1__Bit0]) ).
fof(c_0_31,plain,
( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t))
| hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,esk3_0),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,esk4_0),number_number_of(nat,bit0(bit1(pls))))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06])])])])]) ).
cnf(c_0_32,plain,
( hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,esk1_0),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,esk2_0),number_number_of(nat,bit0(bit1(pls))))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int))
| t != one_one(int) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,negated_conjecture,
hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,int,power_power(int,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))) != hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_25]),c_0_25]),c_0_25]) ).
cnf(c_0_34,plain,
hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),
inference(rw,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_35,plain,
number_number_of(int,X1) = hAPP(int,int,plus_plus(int,pls),X1),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_36,plain,
! [X17,X18] : hAPP(int,int,plus_plus(int,X17),X18) = hAPP(int,int,plus_plus(int,X18),X17),
inference(variable_rename,[status(thm)],[fact_91_zadd__commute]) ).
cnf(c_0_37,plain,
one_one(int) = number_number_of(int,bit1(pls)),
inference(split_conjunct,[status(thm)],[fact_160_one__is__num__one]) ).
cnf(c_0_38,hypothesis,
number_number_of(int,bit1(X1)) = bit1(X1),
inference(rw,[status(thm)],[c_0_29,c_0_28]) ).
fof(c_0_39,plain,
! [X45,X46,X47] : hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,X45),X46)),X47) = hAPP(int,int,plus_plus(int,X45),hAPP(int,int,plus_plus(int,X46),X47)),
inference(variable_rename,[status(thm)],[fact_89_zadd__assoc]) ).
cnf(c_0_40,plain,
hAPP(int,int,plus_plus(int,bit1(X1)),bit0(X2)) = bit1(hAPP(int,int,plus_plus(int,X1),X2)),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_41,plain,
! [X17,X18] : hAPP(int,int,times_times(int,X17),X18) = hAPP(int,int,times_times(int,X18),X17),
inference(variable_rename,[status(thm)],[fact_87_zmult__commute]) ).
cnf(c_0_42,plain,
( hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,esk3_0),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,esk4_0),number_number_of(nat,bit0(bit1(pls))))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls))))),m)),one_one(int))
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,plain,
( hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,esk1_0),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,int,power_power(int,esk2_0),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))
| t != one_one(int) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_25]),c_0_25]),c_0_25]),c_0_25]) ).
cnf(c_0_44,negated_conjecture,
hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X1),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,X2),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))) != hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34]),c_0_34]),c_0_35]) ).
cnf(c_0_45,plain,
hAPP(int,int,plus_plus(int,X1),X2) = hAPP(int,int,plus_plus(int,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_46,plain,
one_one(int) = bit1(pls),
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,plain,
hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,X1),X2)),X3) = hAPP(int,int,plus_plus(int,X1),hAPP(int,int,plus_plus(int,X2),X3)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,plain,
hAPP(int,int,plus_plus(int,bit1(X1)),hAPP(int,int,plus_plus(int,X2),X2)) = bit1(hAPP(int,int,plus_plus(int,X1),X2)),
inference(rw,[status(thm)],[c_0_40,c_0_25]) ).
cnf(c_0_49,hypothesis,
hAPP(int,int,plus_plus(int,pls),bit1(X1)) = bit1(X1),
inference(rw,[status(thm)],[c_0_38,c_0_35]) ).
cnf(c_0_50,plain,
hAPP(int,int,times_times(int,X1),X2) = hAPP(int,int,times_times(int,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_51,plain,
( hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,esk3_0),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,int,power_power(int,esk4_0),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_25]),c_0_25]),c_0_25]),c_0_25]) ).
fof(c_0_52,plain,
! [X12,X13,X14] :
( ~ order(X12)
| ~ hBOOL(hAPP(X12,bool,hAPP(X12,fun(X12,bool),ord_less_eq(X12),X13),X14))
| ti(X12,X13) = ti(X12,X14)
| hBOOL(hAPP(X12,bool,hAPP(X12,fun(X12,bool),ord_less(X12),X13),X14)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_332_order__le__neq__implies__less])])])])]) ).
cnf(c_0_53,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),t)),
inference(split_conjunct,[status(thm)],[fact_0_tpos]) ).
cnf(c_0_54,plain,
ti(int,t) = t,
inference(split_conjunct,[status(thm)],[tsy_v_t_____res]) ).
cnf(c_0_55,plain,
( hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,esk1_0),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,esk2_0),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))
| one_one(int) != t ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_34]),c_0_34]),c_0_35]) ).
cnf(c_0_56,negated_conjecture,
hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X1),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,X2),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))) != hAPP(int,int,plus_plus(int,bit1(pls)),hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(bit1(pls)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]) ).
cnf(c_0_57,plain,
( hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,esk3_0),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,esk4_0),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_34]),c_0_34]),c_0_35]) ).
cnf(c_0_58,plain,
( hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))
| ti(X1,X2) = ti(X1,X3)
| ~ hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))
| ~ order(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_59,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),bit1(pls)),t)),
inference(rw,[status(thm)],[c_0_53,c_0_46]) ).
cnf(c_0_60,plain,
ti(int,X1) = hAPP(int,int,plus_plus(int,pls),X1),
inference(rw,[status(thm)],[c_0_28,c_0_35]) ).
cnf(c_0_61,plain,
hAPP(int,int,plus_plus(int,pls),t) = t,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_28]),c_0_35]) ).
cnf(c_0_62,plain,
order(int),
inference(split_conjunct,[status(thm)],[arity_Int_Oint___Orderings_Oorder]) ).
cnf(c_0_63,plain,
bit1(pls) != t,
inference(sr,[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(rw,[status(thm)],[c_0_55,c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]),c_0_46]),c_0_56]) ).
cnf(c_0_64,plain,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),bit1(pls)),t)),
inference(sr,[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(rw,[status(thm)],[c_0_57,c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]),c_0_46]),c_0_56]) ).
cnf(c_0_65,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[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_58,c_0_59]),c_0_60]),c_0_49]),c_0_28]),c_0_35]),c_0_61]),c_0_62])]),c_0_63]),c_0_64]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM926+7 : TPTP v8.1.0. Released v5.3.0.
% 0.04/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jul 6 08:49:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.53/23.54 eprover: CPU time limit exceeded, terminating
% 0.53/23.54 eprover: CPU time limit exceeded, terminating
% 0.53/23.55 eprover: CPU time limit exceeded, terminating
% 0.53/23.55 eprover: CPU time limit exceeded, terminating
% 0.54/25.71 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.54/25.71
% 0.54/25.71 # Failure: Resource limit exceeded (time)
% 0.54/25.71 # OLD status Res
% 0.54/25.71 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.54/25.71 # Preprocessing time : 0.078 s
% 0.54/25.71 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.54/25.71 # Preprocessing time : 0.212 s
% 0.54/25.71
% 0.54/25.71 # Proof found!
% 0.54/25.71 # SZS status Theorem
% 0.54/25.71 # SZS output start CNFRefutation
% See solution above
% 0.54/25.71 # Proof object total steps : 66
% 0.54/25.71 # Proof object clause steps : 36
% 0.54/25.71 # Proof object formula steps : 30
% 0.54/25.71 # Proof object conjectures : 7
% 0.54/25.71 # Proof object clause conjectures : 4
% 0.54/25.71 # Proof object formula conjectures : 3
% 0.54/25.71 # Proof object initial clauses used : 17
% 0.54/25.71 # Proof object initial formulas used : 17
% 0.54/25.71 # Proof object generating inferences : 1
% 0.54/25.71 # Proof object simplifying inferences : 62
% 0.54/25.71 # Training examples: 0 positive, 0 negative
% 0.54/25.71 # Parsed axioms : 1255
% 0.54/25.71 # Removed by relevancy pruning/SinE : 0
% 0.54/25.71 # Initial clauses : 1737
% 0.54/25.71 # Removed in clause preprocessing : 85
% 0.54/25.71 # Initial clauses in saturation : 1652
% 0.54/25.71 # Processed clauses : 3072
% 0.54/25.71 # ...of these trivial : 223
% 0.54/25.71 # ...subsumed : 1129
% 0.54/25.71 # ...remaining for further processing : 1720
% 0.54/25.71 # Other redundant clauses eliminated : 61
% 0.54/25.71 # Clauses deleted for lack of memory : 0
% 0.54/25.71 # Backward-subsumed : 10
% 0.54/25.71 # Backward-rewritten : 208
% 0.54/25.71 # Generated clauses : 83203
% 0.54/25.71 # ...of the previous two non-trivial : 77674
% 0.54/25.71 # Contextual simplify-reflections : 185
% 0.54/25.71 # Paramodulations : 83104
% 0.54/25.71 # Factorizations : 15
% 0.54/25.71 # Equation resolutions : 84
% 0.54/25.71 # Current number of processed clauses : 1486
% 0.54/25.71 # Positive orientable unit clauses : 349
% 0.54/25.71 # Positive unorientable unit clauses: 19
% 0.54/25.71 # Negative unit clauses : 58
% 0.54/25.71 # Non-unit-clauses : 1060
% 0.54/25.71 # Current number of unprocessed clauses: 67739
% 0.54/25.71 # ...number of literals in the above : 215928
% 0.54/25.71 # Current number of archived formulas : 0
% 0.54/25.71 # Current number of archived clauses : 221
% 0.54/25.71 # Clause-clause subsumption calls (NU) : 258962
% 0.54/25.71 # Rec. Clause-clause subsumption calls : 124938
% 0.54/25.71 # Non-unit clause-clause subsumptions : 735
% 0.54/25.71 # Unit Clause-clause subsumption calls : 6368
% 0.54/25.71 # Rewrite failures with RHS unbound : 0
% 0.54/25.71 # BW rewrite match attempts : 23070
% 0.54/25.71 # BW rewrite match successes : 597
% 0.54/25.71 # Condensation attempts : 0
% 0.54/25.71 # Condensation successes : 0
% 0.54/25.71 # Termbank termtop insertions : 4191529
% 0.54/25.71
% 0.54/25.71 # -------------------------------------------------
% 0.54/25.71 # User time : 1.702 s
% 0.54/25.71 # System time : 0.040 s
% 0.54/25.71 # Total time : 1.742 s
% 0.54/25.71 # Maximum resident set size: 81516 pages
% 0.54/46.57 eprover: CPU time limit exceeded, terminating
% 0.54/46.57 eprover: CPU time limit exceeded, terminating
% 0.54/46.57 eprover: CPU time limit exceeded, terminating
% 0.54/46.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.58 eprover: No such file or directory
% 0.54/46.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.54/46.58 eprover: No such file or directory
% 0.54/46.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.54/46.58 eprover: No such file or directory
% 0.54/46.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.59 eprover: No such file or directory
% 0.54/46.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.54/46.59 eprover: No such file or directory
% 0.54/46.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.59 eprover: No such file or directory
% 0.54/46.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.54/46.59 eprover: No such file or directory
% 0.54/46.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.54/46.59 eprover: No such file or directory
% 0.54/46.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.59 eprover: No such file or directory
% 0.54/46.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.54/46.60 eprover: No such file or directory
% 0.54/46.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.54/46.60 eprover: No such file or directory
% 0.54/46.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.60 eprover: No such file or directory
% 0.54/46.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.54/46.60 eprover: No such file or directory
% 0.54/46.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.54/46.60 eprover: No such file or directory
% 0.54/46.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.60 eprover: No such file or directory
% 0.54/46.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.54/46.61 eprover: No such file or directory
% 0.54/46.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.54/46.61 eprover: No such file or directory
% 0.54/46.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.61 eprover: No such file or directory
% 0.54/46.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.61 eprover: No such file or directory
% 0.54/46.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.54/46.61 eprover: No such file or directory
% 0.54/46.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.54/46.61 eprover: No such file or directory
% 0.54/46.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.62 eprover: No such file or directory
% 0.54/46.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.54/46.62 eprover: No such file or directory
% 0.54/46.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.54/46.62 eprover: No such file or directory
% 0.54/46.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.54/46.62 eprover: No such file or directory
% 0.54/46.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.54/46.62 eprover: No such file or directory
% 0.54/46.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.54/46.62 eprover: No such file or directory
% 0.54/46.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.54/46.62 eprover: No such file or directory
% 0.54/46.63 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.54/46.63 eprover: No such file or directory
% 0.54/46.63 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.54/46.63 eprover: No such file or directory
%------------------------------------------------------------------------------