TSTP Solution File: NUM924+4 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : NUM924+4 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 : Tue May 21 01:28:30 EDT 2024
% Result : Theorem 5.98s 1.51s
% Output : CNFRefutation 5.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of formulae : 58 ( 55 unt; 0 def)
% Number of atoms : 64 ( 42 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 4 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 17 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_691_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
! [X189] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X189),X189) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),one_one_int)),X189),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_691_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J) ).
fof(fact_266_Bit0__def,axiom,
! [X14] : hAPP_int_int(bit0,X14) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X14),X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_266_Bit0__def) ).
fof(fact_434_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
! [X97] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X97),X97) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X97),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_434_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J) ).
fof(fact_3196_semiring__norm_I115_J,axiom,
hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)) = hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3196_semiring__norm_I115_J) ).
fof(fact_256_Pls__def,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_256_Pls__def) ).
fof(fact_3057_One__nat__def,axiom,
one_one_nat = hAPP_nat_nat(suc,zero_zero_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3057_One__nat__def) ).
fof(fact_270_double__number__of__Bit0,axiom,
! [X70] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),one_one_int)),hAPP_int_int(number_number_of_int,X70)) = hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,X70)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_270_double__number__of__Bit0) ).
fof(conj_0,conjecture,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_199_zadd__commute,axiom,
! [X15,X13] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X15),X13) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X13),X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_199_zadd__commute) ).
fof(fact_243_one__is__num__one,axiom,
one_one_int = hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_243_one__is__num__one) ).
fof(fact_126_mult__Bit0,axiom,
! [X14,X42] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(bit0,X14)),X42) = hAPP_int_int(bit0,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X14),X42)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_126_mult__Bit0) ).
fof(fact_54_zmult__commute,axiom,
! [X15,X13] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X15),X13) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X13),X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_zmult__commute) ).
fof(fact_281_semiring__mult__2,axiom,
! [X72] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X72) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X72),X72),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_281_semiring__mult__2) ).
fof(fact_3_t,axiom,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_t) ).
fof(fact_6_p0,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_p0) ).
fof(fact_1173_mult__pos__neg2,axiom,
! [X349,X350] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X350))
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X349),zero_zero_int))
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X349),X350)),zero_zero_int)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1173_mult__pos__neg2) ).
fof(fact_0__096t_A_060_A0_096,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,t),zero_zero_int)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__096t_A_060_A0_096) ).
fof(c_0_17,plain,
! [X1078] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X1078),X1078) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),one_one_int)),X1078),
inference(variable_rename,[status(thm)],[fact_691_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J]) ).
fof(c_0_18,plain,
! [X1523] : hAPP_int_int(bit0,X1523) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X1523),X1523),
inference(variable_rename,[status(thm)],[fact_266_Bit0__def]) ).
fof(c_0_19,plain,
! [X1289] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X1289),X1289) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X1289),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),
inference(variable_rename,[status(thm)],[fact_434_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J]) ).
cnf(c_0_20,plain,
hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)) = hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))),
inference(split_conjunct,[status(thm)],[fact_3196_semiring__norm_I115_J]) ).
cnf(c_0_21,plain,
pls = zero_zero_int,
inference(split_conjunct,[status(thm)],[fact_256_Pls__def]) ).
cnf(c_0_22,plain,
one_one_nat = hAPP_nat_nat(suc,zero_zero_nat),
inference(split_conjunct,[status(thm)],[fact_3057_One__nat__def]) ).
fof(c_0_23,plain,
! [X1065] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),one_one_int)),hAPP_int_int(number_number_of_int,X1065)) = hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,X1065)),
inference(variable_rename,[status(thm)],[fact_270_double__number__of__Bit0]) ).
cnf(c_0_24,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X1),X1) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),one_one_int)),X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
hAPP_int_int(bit0,X1) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X1),X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_26,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
cnf(c_0_27,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X1),X1) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,plain,
hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))) = hAPP_nat_nat(suc,one_one_nat),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
fof(c_0_29,plain,
! [X1515,X1516] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X1515),X1516) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X1516),X1515),
inference(variable_rename,[status(thm)],[fact_199_zadd__commute]) ).
cnf(c_0_30,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),one_one_int)),hAPP_int_int(number_number_of_int,X1)) = hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,X1)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(bit0,one_one_int)),X1) = hAPP_int_int(bit0,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_25]) ).
cnf(c_0_32,plain,
one_one_int = hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)),
inference(split_conjunct,[status(thm)],[fact_243_one__is__num__one]) ).
fof(c_0_33,plain,
! [X1217,X1218] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(bit0,X1217)),X1218) = hAPP_int_int(bit0,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X1217),X1218)),
inference(variable_rename,[status(thm)],[fact_126_mult__Bit0]) ).
fof(c_0_34,plain,
! [X1830,X1831] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X1830),X1831) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X1831),X1830),
inference(variable_rename,[status(thm)],[fact_54_zmult__commute]) ).
fof(c_0_35,plain,
! [X1527] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X1527) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X1527),X1527),
inference(variable_rename,[status(thm)],[fact_281_semiring__mult__2]) ).
fof(c_0_36,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)),
inference(fof_nnf,[status(thm)],[c_0_26]) ).
cnf(c_0_37,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t),
inference(split_conjunct,[status(thm)],[fact_3_t]) ).
cnf(c_0_38,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X1),X1) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X1),hAPP_nat_nat(suc,one_one_nat)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_21]),c_0_28]) ).
cnf(c_0_39,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X1),X2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,plain,
hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,X1)) = hAPP_int_int(bit0,hAPP_int_int(number_number_of_int,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_25]),c_0_31]) ).
cnf(c_0_41,plain,
hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,zero_zero_int)) = one_one_int,
inference(rw,[status(thm)],[c_0_32,c_0_21]) ).
cnf(c_0_42,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(bit0,X1)),X2) = hAPP_int_int(bit0,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X1),X2)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X1),X2) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_44,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X1) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X1),X1),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int))),
inference(split_conjunct,[status(thm)],[fact_6_p0]) ).
cnf(c_0_46,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_47,plain,
! [X1137,X1138] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1138))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1137),zero_zero_int))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X1137),X1138)),zero_zero_int)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1173_mult__pos__neg2])])]) ).
cnf(c_0_48,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),m))))) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)),
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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_21]),c_0_28]),c_0_38]),c_0_39]),c_0_21]),c_0_40]),c_0_40]),c_0_41]),c_0_42]),c_0_42]),c_0_39]),c_0_43]) ).
cnf(c_0_49,plain,
hAPP_int_int(bit0,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),X1)) = hAPP_int_int(bit0,X1),
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_21]),c_0_40]),c_0_41]),c_0_42]),c_0_25]) ).
cnf(c_0_50,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),m)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_21]),c_0_39]) ).
cnf(c_0_51,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))),one_one_int)),zero_zero_int)),
inference(rw,[status(thm)],[c_0_46,c_0_21]) ).
cnf(c_0_52,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X2),X1)),zero_zero_int))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X1))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),zero_zero_int)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(bit0,hAPP_int_int(bit0,m)))) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)),
inference(rw,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,t),zero_zero_int)),
inference(split_conjunct,[status(thm)],[fact_0__096t_A_060_A0_096]) ).
cnf(c_0_55,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(bit0,hAPP_int_int(bit0,m))))),
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_50,c_0_40]),c_0_40]),c_0_41]),c_0_42]),c_0_42]),c_0_49]) ).
cnf(c_0_56,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s))),zero_zero_int)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_39]),c_0_28]),c_0_38]) ).
cnf(c_0_57,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55])]),c_0_56]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM924+4 : TPTP v8.2.0. Released v5.3.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 04:17:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order model finding
% 0.20/0.49 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.98/1.51 # Version: 3.1.0
% 5.98/1.51 # Preprocessing class: FMLLSMLLSSSNFFN.
% 5.98/1.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.98/1.51 # Starting new_bool_3 with 900s (3) cores
% 5.98/1.51 # Starting new_bool_1 with 900s (3) cores
% 5.98/1.51 # Starting sh5l with 300s (1) cores
% 5.98/1.51 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 5.98/1.51 # new_bool_3 with pid 13364 completed with status 0
% 5.98/1.51 # Result found by new_bool_3
% 5.98/1.51 # Preprocessing class: FMLLSMLLSSSNFFN.
% 5.98/1.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.98/1.51 # Starting new_bool_3 with 900s (3) cores
% 5.98/1.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.98/1.51 # Search class: FGHSM-SMLM32-DFFFFFNN
% 5.98/1.51 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 5.98/1.51 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 5.98/1.51 # Starting new_bool_3 with 91s (1) cores
% 5.98/1.51 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 68s (1) cores
% 5.98/1.51 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 13466 completed with status 0
% 5.98/1.51 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 5.98/1.51 # Preprocessing class: FMLLSMLLSSSNFFN.
% 5.98/1.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.98/1.51 # Starting new_bool_3 with 900s (3) cores
% 5.98/1.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.98/1.51 # Search class: FGHSM-SMLM32-DFFFFFNN
% 5.98/1.51 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 5.98/1.51 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 5.98/1.51 # Preprocessing time : 0.071 s
% 5.98/1.51 # Presaturation interreduction done
% 5.98/1.51
% 5.98/1.51 # Proof found!
% 5.98/1.51 # SZS status Theorem
% 5.98/1.51 # SZS output start CNFRefutation
% See solution above
% 5.98/1.51 # Parsed axioms : 5480
% 5.98/1.51 # Removed by relevancy pruning/SinE : 3055
% 5.98/1.51 # Initial clauses : 3692
% 5.98/1.51 # Removed in clause preprocessing : 166
% 5.98/1.51 # Initial clauses in saturation : 3526
% 5.98/1.51 # Processed clauses : 4296
% 5.98/1.51 # ...of these trivial : 361
% 5.98/1.51 # ...subsumed : 645
% 5.98/1.51 # ...remaining for further processing : 3290
% 5.98/1.51 # Other redundant clauses eliminated : 357
% 5.98/1.51 # Clauses deleted for lack of memory : 0
% 5.98/1.51 # Backward-subsumed : 20
% 5.98/1.51 # Backward-rewritten : 36
% 5.98/1.51 # Generated clauses : 3240
% 5.98/1.51 # ...of the previous two non-redundant : 2370
% 5.98/1.51 # ...aggressively subsumed : 0
% 5.98/1.51 # Contextual simplify-reflections : 9
% 5.98/1.51 # Paramodulations : 2903
% 5.98/1.51 # Factorizations : 1
% 5.98/1.51 # NegExts : 0
% 5.98/1.51 # Equation resolutions : 372
% 5.98/1.51 # Disequality decompositions : 0
% 5.98/1.51 # Total rewrite steps : 3652
% 5.98/1.51 # ...of those cached : 2895
% 5.98/1.51 # Propositional unsat checks : 0
% 5.98/1.51 # Propositional check models : 0
% 5.98/1.51 # Propositional check unsatisfiable : 0
% 5.98/1.51 # Propositional clauses : 0
% 5.98/1.51 # Propositional clauses after purity: 0
% 5.98/1.51 # Propositional unsat core size : 0
% 5.98/1.51 # Propositional preprocessing time : 0.000
% 5.98/1.51 # Propositional encoding time : 0.000
% 5.98/1.51 # Propositional solver time : 0.000
% 5.98/1.51 # Success case prop preproc time : 0.000
% 5.98/1.51 # Success case prop encoding time : 0.000
% 5.98/1.51 # Success case prop solver time : 0.000
% 5.98/1.51 # Current number of processed clauses : 621
% 5.98/1.51 # Positive orientable unit clauses : 237
% 5.98/1.51 # Positive unorientable unit clauses: 2
% 5.98/1.51 # Negative unit clauses : 43
% 5.98/1.51 # Non-unit-clauses : 339
% 5.98/1.51 # Current number of unprocessed clauses: 3934
% 5.98/1.51 # ...number of literals in the above : 9715
% 5.98/1.51 # Current number of archived formulas : 0
% 5.98/1.51 # Current number of archived clauses : 2401
% 5.98/1.51 # Clause-clause subsumption calls (NU) : 454511
% 5.98/1.51 # Rec. Clause-clause subsumption calls : 182707
% 5.98/1.51 # Non-unit clause-clause subsumptions : 567
% 5.98/1.51 # Unit Clause-clause subsumption calls : 5303
% 5.98/1.51 # Rewrite failures with RHS unbound : 0
% 5.98/1.51 # BW rewrite match attempts : 5434
% 5.98/1.51 # BW rewrite match successes : 317
% 5.98/1.51 # Condensation attempts : 0
% 5.98/1.51 # Condensation successes : 0
% 5.98/1.51 # Termbank termtop insertions : 531216
% 5.98/1.51 # Search garbage collected termcells : 67003
% 5.98/1.51
% 5.98/1.51 # -------------------------------------------------
% 5.98/1.51 # User time : 0.763 s
% 5.98/1.51 # System time : 0.046 s
% 5.98/1.51 # Total time : 0.808 s
% 5.98/1.51 # Maximum resident set size: 19948 pages
% 5.98/1.51
% 5.98/1.51 # -------------------------------------------------
% 5.98/1.51 # User time : 2.041 s
% 5.98/1.51 # System time : 0.097 s
% 5.98/1.51 # Total time : 2.138 s
% 5.98/1.51 # Maximum resident set size: 10268 pages
% 5.98/1.51 % E---3.1 exiting
%------------------------------------------------------------------------------