%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM926+6 : TPTP v9.2.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n020.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 5 04:59:08 PM UTC 2026
% Result : Theorem 4.44s 3.37s
% Output : CNFRefutation 4.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 31
% Syntax : Number of formulae : 120 ( 77 unt; 0 def)
% Number of atoms : 175 ( 99 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 103 ( 48 ~; 41 |; 1 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-3 aty)
% Number of variables : 157 ( 15 sgn 80 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
? [X5,X6] : plus_plus(int,power_power(int,X5,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X6,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_126_Bit0__def,axiom,
! [X19] : bit0(X19) = plus_plus(int,X19,X19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_126_Bit0__def) ).
fof(fact_151_Bit1__def,axiom,
! [X19] : bit1(X19) = plus_plus(int,plus_plus(int,one_one(int),X19),X19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_151_Bit1__def) ).
fof(fact_86_number__of__is__id,axiom,
! [X19] : number_number_of(int,X19) = ti(int,X19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_number__of__is__id) ).
fof(fact_123_add__Pls__right,axiom,
! [X19] : plus_plus(int,X19,pls) = ti(int,X19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_123_add__Pls__right) ).
fof(fact_89_zadd__commute,axiom,
! [X16,X12] : plus_plus(int,X16,X12) = plus_plus(int,X12,X16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_zadd__commute) ).
fof(fact_37_nat__1__add__1,axiom,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,bit0(bit1(pls))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_nat__1__add__1) ).
fof(fact_124_add__Pls,axiom,
! [X19] : plus_plus(int,pls,X19) = ti(int,X19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_124_add__Pls) ).
fof(fact_309_power__0,axiom,
! [X3] :
( power(X3)
=> ! [X7] : power_power(X3,X7,zero_zero(nat)) = one_one(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_309_power__0) ).
fof(fact_128_zmult__1,axiom,
! [X16] : times_times(int,one_one(int),X16) = ti(int,X16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_128_zmult__1) ).
fof(tsy_c_Int_OBit0_arg1,hypothesis,
! [X1] : bit0(ti(int,X1)) = bit0(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Int_OBit0_arg1) ).
fof(fact_85_zmult__commute,axiom,
! [X16,X12] : times_times(int,X16,X12) = times_times(int,X12,X16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_85_zmult__commute) ).
fof(fact_87_zadd__assoc,axiom,
! [X40,X41,X42] : plus_plus(int,plus_plus(int,X40,X41),X42) = plus_plus(int,X40,plus_plus(int,X41,X42)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_zadd__assoc) ).
fof(fact_132_plus__numeral__code_I9_J,axiom,
! [X14,X12] : plus_plus(int,number_number_of(int,X14),number_number_of(int,X12)) = number_number_of(int,plus_plus(int,X14,X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_132_plus__numeral__code_I9_J) ).
fof(fact_113_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
! [X3] :
( comm_semiring_1(X3)
=> ! [X9,X10,X23] : power_power(X3,times_times(X3,X9,X10),X23) = times_times(X3,power_power(X3,X9,X23),power_power(X3,X10,X23)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_113_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J) ).
fof(arity_Int_Oint___Power_Opower,axiom,
power(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Power_Opower) ).
fof(tsy_c_Groups_Oplus__class_Oplus_1_arg1,axiom,
! [X1,X2,X3] :
( ab_group_add(X3)
=> plus_plus(X3,ti(X3,X1),X2) = plus_plus(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Groups_Oplus__class_Oplus_1_arg1) ).
fof(tsy_c_Groups_Oplus__class_Oplus_1_arg2,axiom,
! [X1,X2,X3] :
( ab_group_add(X3)
=> plus_plus(X3,X1,ti(X3,X2)) = plus_plus(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Groups_Oplus__class_Oplus_1_arg2) ).
fof(fact_188_zdvd__not__zless,axiom,
! [X13,X43] :
( ord_less(int,zero_zero(int),X43)
=> ( ord_less(int,X43,X13)
=> ~ dvd_dvd(int,X13,X43) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_188_zdvd__not__zless) ).
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,
( ord_less(int,one_one(int),t)
=> ? [X5,X6] : plus_plus(int,power_power(int,X5,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X6,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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(arity_Int_Oint___Rings_Ocomm__semiring__1,axiom,
comm_semiring_1(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Ocomm__semiring__1) ).
fof(fact_148_number__of__add,axiom,
! [X3] :
( number_ring(X3)
=> ! [X14,X12] : number_number_of(X3,plus_plus(int,X14,X12)) = plus_plus(X3,number_number_of(X3,X14),number_number_of(X3,X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_148_number__of__add) ).
fof(arity_Int_Oint___Groups_Oab__group__add,axiom,
ab_group_add(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Groups_Oab__group__add) ).
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)
=> ? [X5,X6] : plus_plus(int,power_power(int,X5,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X6,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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(arity_Int_Oint___Int_Onumber__ring,axiom,
number_ring(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber__ring) ).
fof(fact_202_Pls__def,axiom,
pls = zero_zero(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_202_Pls__def) ).
fof(fact_488_one__dvd,axiom,
! [X3] :
( comm_semiring_1(X3)
=> ! [X7] : dvd_dvd(X3,one_one(X3),X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_488_one__dvd) ).
fof(fact_23_zless__linear,axiom,
! [X9,X10] :
( ord_less(int,X9,X10)
| ti(int,X9) = ti(int,X10)
| ord_less(int,X10,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_zless__linear) ).
fof(fact_241_int__one__le__iff__zero__less,axiom,
! [X17] :
( ord_less_eq(int,one_one(int),X17)
<=> ord_less(int,zero_zero(int),X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_241_int__one__le__iff__zero__less) ).
fof(tsy_v_t_____res,axiom,
ti(int,t) = t,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_v_t_____res) ).
fof(fact_0_tpos,axiom,
ord_less_eq(int,one_one(int),t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_tpos) ).
fof(c_0_31,negated_conjecture,
~ ? [X5,X6] : plus_plus(int,power_power(int,X5,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X6,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(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_32,negated_conjecture,
! [X2667,X2668] : plus_plus(int,power_power(int,X2667,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X2668,number_number_of(nat,bit0(bit1(pls))))) != plus_plus(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_31])]) ).
fof(c_0_33,plain,
! [X1784] : bit0(X1784) = plus_plus(int,X1784,X1784),
inference(variable_rename,[status(thm)],[fact_126_Bit0__def]) ).
fof(c_0_34,plain,
! [X1848] : bit1(X1848) = plus_plus(int,plus_plus(int,one_one(int),X1848),X1848),
inference(variable_rename,[status(thm)],[fact_151_Bit1__def]) ).
fof(c_0_35,plain,
! [X1703] : number_number_of(int,X1703) = ti(int,X1703),
inference(variable_rename,[status(thm)],[fact_86_number__of__is__id]) ).
fof(c_0_36,plain,
! [X1780] : plus_plus(int,X1780,pls) = ti(int,X1780),
inference(variable_rename,[status(thm)],[fact_123_add__Pls__right]) ).
cnf(c_0_37,negated_conjecture,
plus_plus(int,power_power(int,X1,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X2,number_number_of(nat,bit0(bit1(pls))))) != plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,plain,
bit0(X1) = plus_plus(int,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_39,plain,
bit1(X1) = plus_plus(int,plus_plus(int,one_one(int),X1),X1),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_40,plain,
! [X1710,X1711] : plus_plus(int,X1710,X1711) = plus_plus(int,X1711,X1710),
inference(variable_rename,[status(thm)],[fact_89_zadd__commute]) ).
cnf(c_0_41,plain,
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]) ).
fof(c_0_42,plain,
! [X1781] : plus_plus(int,pls,X1781) = ti(int,X1781),
inference(variable_rename,[status(thm)],[fact_124_add__Pls]) ).
cnf(c_0_43,plain,
number_number_of(int,X1) = ti(int,X1),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,plain,
plus_plus(int,X1,pls) = ti(int,X1),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_45,plain,
! [X2169,X2170] :
( ~ power(X2169)
| power_power(X2169,X2170,zero_zero(nat)) = one_one(X2169) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_309_power__0])])]) ).
fof(c_0_46,plain,
! [X1786] : times_times(int,one_one(int),X1786) = ti(int,X1786),
inference(variable_rename,[status(thm)],[fact_128_zmult__1]) ).
fof(c_0_47,hypothesis,
! [X1459] : bit0(ti(int,X1459)) = bit0(X1459),
inference(variable_rename,[status(thm)],[tsy_c_Int_OBit0_arg1]) ).
cnf(c_0_48,negated_conjecture,
plus_plus(int,power_power(int,X1,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(int,X2,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))))) != plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),
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_38]),c_0_38]),c_0_38]),c_0_38]),c_0_39]),c_0_39]),c_0_39]),c_0_39]),c_0_39]),c_0_39]),c_0_39]),c_0_39]) ).
cnf(c_0_49,plain,
plus_plus(int,X1,X2) = plus_plus(int,X2,X1),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_50,plain,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_38]),c_0_39]),c_0_39]) ).
fof(c_0_51,plain,
! [X1701,X1702] : times_times(int,X1701,X1702) = times_times(int,X1702,X1701),
inference(variable_rename,[status(thm)],[fact_85_zmult__commute]) ).
fof(c_0_52,plain,
! [X1704,X1705,X1706] : plus_plus(int,plus_plus(int,X1704,X1705),X1706) = plus_plus(int,X1704,plus_plus(int,X1705,X1706)),
inference(variable_rename,[status(thm)],[fact_87_zadd__assoc]) ).
cnf(c_0_53,plain,
plus_plus(int,pls,X1) = ti(int,X1),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_54,plain,
plus_plus(int,X1,pls) = number_number_of(int,X1),
inference(rw,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_55,plain,
! [X1795,X1796] : plus_plus(int,number_number_of(int,X1795),number_number_of(int,X1796)) = number_number_of(int,plus_plus(int,X1795,X1796)),
inference(variable_rename,[status(thm)],[fact_132_plus__numeral__code_I9_J]) ).
fof(c_0_56,plain,
! [X1765,X1766,X1767,X1768] :
( ~ comm_semiring_1(X1765)
| power_power(X1765,times_times(X1765,X1766,X1767),X1768) = times_times(X1765,power_power(X1765,X1766,X1768),power_power(X1765,X1767,X1768)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_113_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J])])]) ).
cnf(c_0_57,plain,
( power_power(X1,X2,zero_zero(nat)) = one_one(X1)
| ~ power(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_58,plain,
power(int),
inference(split_conjunct,[status(thm)],[arity_Int_Oint___Power_Opower]) ).
cnf(c_0_59,plain,
times_times(int,one_one(int),X1) = ti(int,X1),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_60,plain,
! [X1390,X1391,X1392] :
( ~ ab_group_add(X1392)
| plus_plus(X1392,ti(X1392,X1390),X1391) = plus_plus(X1392,X1390,X1391) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[tsy_c_Groups_Oplus__class_Oplus_1_arg1])]) ).
fof(c_0_61,plain,
! [X1393,X1394,X1395] :
( ~ ab_group_add(X1395)
| plus_plus(X1395,X1393,ti(X1395,X1394)) = plus_plus(X1395,X1393,X1394) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[tsy_c_Groups_Oplus__class_Oplus_1_arg2])]) ).
fof(c_0_62,plain,
! [X13,X43] :
( ord_less(int,zero_zero(int),X43)
=> ( ord_less(int,X43,X13)
=> ~ dvd_dvd(int,X13,X43) ) ),
inference(fof_simplification,[status(thm)],[fact_188_zdvd__not__zless]) ).
fof(c_0_63,plain,
( ~ ord_less(int,one_one(int),t)
| plus_plus(int,power_power(int,esk3_0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,esk4_0,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) ),
inference(skolemize,[status(esa)],[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_64,hypothesis,
bit0(ti(int,X1)) = bit0(X1),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_65,negated_conjecture,
plus_plus(int,power_power(int,X1,number_number_of(nat,plus_plus(int,plus_plus(int,pls,plus_plus(int,pls,one_one(int))),plus_plus(int,pls,plus_plus(int,pls,one_one(int)))))),power_power(int,X2,number_number_of(nat,plus_plus(int,plus_plus(int,pls,plus_plus(int,pls,one_one(int))),plus_plus(int,pls,plus_plus(int,pls,one_one(int))))))) != plus_plus(int,one_one(int),times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,pls,plus_plus(int,pls,one_one(int))),plus_plus(int,pls,plus_plus(int,pls,one_one(int)))),plus_plus(int,plus_plus(int,pls,plus_plus(int,pls,one_one(int))),plus_plus(int,pls,plus_plus(int,pls,one_one(int)))))),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)],[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_48,c_0_49]),c_0_49]),c_0_49]),c_0_49]),c_0_49]),c_0_49]),c_0_49]),c_0_49]),c_0_49]),c_0_49]),c_0_49]),c_0_49]),c_0_49]),c_0_49]),c_0_49]),c_0_49]),c_0_49]) ).
cnf(c_0_66,plain,
number_number_of(nat,plus_plus(int,plus_plus(int,pls,plus_plus(int,pls,one_one(int))),plus_plus(int,pls,plus_plus(int,pls,one_one(int))))) = plus_plus(nat,one_one(nat),one_one(nat)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_49]),c_0_49]),c_0_49]),c_0_49]) ).
cnf(c_0_67,plain,
times_times(int,X1,X2) = times_times(int,X2,X1),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_68,plain,
plus_plus(int,plus_plus(int,X1,X2),X3) = plus_plus(int,X1,plus_plus(int,X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_69,plain,
plus_plus(int,pls,X1) = number_number_of(int,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_44]),c_0_54]) ).
cnf(c_0_70,plain,
plus_plus(int,number_number_of(int,X1),number_number_of(int,X2)) = number_number_of(int,plus_plus(int,X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_71,plain,
( power_power(X1,times_times(X1,X2,X3),X4) = times_times(X1,power_power(X1,X2,X4),power_power(X1,X3,X4))
| ~ comm_semiring_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_72,plain,
power_power(int,X1,zero_zero(nat)) = one_one(int),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_73,plain,
times_times(int,one_one(int),X1) = number_number_of(int,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_44]),c_0_54]) ).
cnf(c_0_74,plain,
comm_semiring_1(int),
inference(split_conjunct,[status(thm)],[arity_Int_Oint___Rings_Ocomm__semiring__1]) ).
fof(c_0_75,plain,
! [X1841,X1842,X1843] :
( ~ number_ring(X1841)
| number_number_of(X1841,plus_plus(int,X1842,X1843)) = plus_plus(X1841,number_number_of(X1841,X1842),number_number_of(X1841,X1843)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_148_number__of__add])])]) ).
cnf(c_0_76,plain,
( plus_plus(X1,ti(X1,X2),X3) = plus_plus(X1,X2,X3)
| ~ ab_group_add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_77,plain,
ab_group_add(int),
inference(split_conjunct,[status(thm)],[arity_Int_Oint___Groups_Oab__group__add]) ).
cnf(c_0_78,plain,
( plus_plus(X1,X2,ti(X1,X3)) = plus_plus(X1,X2,X3)
| ~ ab_group_add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
fof(c_0_79,plain,
! [X1916,X1917] :
( ~ ord_less(int,zero_zero(int),X1917)
| ~ ord_less(int,X1917,X1916)
| ~ dvd_dvd(int,X1916,X1917) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])]) ).
fof(c_0_80,plain,
( t != one_one(int)
| plus_plus(int,power_power(int,esk1_0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,esk2_0,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) ),
inference(skolemize,[status(esa)],[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_81,plain,
( plus_plus(int,power_power(int,esk3_0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,esk4_0,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))
| ~ ord_less(int,one_one(int),t) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_82,hypothesis,
plus_plus(int,ti(int,X1),ti(int,X1)) = plus_plus(int,X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_38]),c_0_38]) ).
cnf(c_0_83,negated_conjecture,
plus_plus(int,power_power(int,X1,plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,X2,plus_plus(nat,one_one(nat),one_one(nat)))) != plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,number_number_of(int,number_number_of(int,plus_plus(int,one_one(int),plus_plus(int,one_one(int),plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,one_one(int))))))))))),
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)],[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_65,c_0_66]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_69]),c_0_69]),c_0_69]),c_0_68]),c_0_68]),c_0_69]),c_0_69]),c_0_69]),c_0_69]),c_0_70]),c_0_70]),c_0_70]),c_0_70]) ).
cnf(c_0_84,plain,
number_number_of(int,one_one(int)) = one_one(int),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_72]),c_0_73]),c_0_72]),c_0_74])]) ).
cnf(c_0_85,plain,
( number_number_of(X1,plus_plus(int,X2,X3)) = plus_plus(X1,number_number_of(X1,X2),number_number_of(X1,X3))
| ~ number_ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_86,plain,
plus_plus(int,number_number_of(int,X1),X2) = plus_plus(int,X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_44]),c_0_54]) ).
cnf(c_0_87,plain,
plus_plus(int,X1,number_number_of(int,X2)) = plus_plus(int,X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_77]),c_0_44]),c_0_54]) ).
cnf(c_0_88,plain,
number_ring(int),
inference(split_conjunct,[status(thm)],[arity_Int_Oint___Int_Onumber__ring]) ).
cnf(c_0_89,plain,
( ~ ord_less(int,zero_zero(int),X1)
| ~ ord_less(int,X1,X2)
| ~ dvd_dvd(int,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_90,plain,
pls = zero_zero(int),
inference(split_conjunct,[status(thm)],[fact_202_Pls__def]) ).
fof(c_0_91,plain,
! [X2639,X2640] :
( ~ comm_semiring_1(X2639)
| dvd_dvd(X2639,one_one(X2639),X2640) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_488_one__dvd])])]) ).
fof(c_0_92,plain,
! [X1546,X1547] :
( ord_less(int,X1546,X1547)
| ti(int,X1546) = ti(int,X1547)
| ord_less(int,X1547,X1546) ),
inference(variable_rename,[status(thm)],[fact_23_zless__linear]) ).
fof(c_0_93,plain,
! [X2043] :
( ( ~ ord_less_eq(int,one_one(int),X2043)
| ord_less(int,zero_zero(int),X2043) )
& ( ~ ord_less(int,zero_zero(int),X2043)
| ord_less_eq(int,one_one(int),X2043) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_241_int__one__le__iff__zero__less])]) ).
cnf(c_0_94,plain,
( plus_plus(int,power_power(int,esk1_0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,esk2_0,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(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_80]) ).
cnf(c_0_95,plain,
( plus_plus(int,power_power(int,esk3_0,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(int,esk4_0,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))))) = plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))
| ~ ord_less(int,one_one(int),t) ),
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_81,c_0_38]),c_0_38]),c_0_38]),c_0_38]),c_0_39]),c_0_39]),c_0_39]),c_0_39]),c_0_39]),c_0_39]),c_0_39]),c_0_39]) ).
cnf(c_0_96,hypothesis,
number_number_of(int,plus_plus(int,X1,X1)) = plus_plus(int,X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_44]),c_0_54]),c_0_44]),c_0_54]),c_0_70]) ).
cnf(c_0_97,negated_conjecture,
plus_plus(int,power_power(int,X1,plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,X2,plus_plus(nat,one_one(nat),one_one(nat)))) != plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,number_number_of(int,number_number_of(int,plus_plus(int,one_one(int),plus_plus(int,one_one(int),plus_plus(int,one_one(int),one_one(int))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84]),c_0_84]) ).
cnf(c_0_98,plain,
number_number_of(int,plus_plus(int,X1,X2)) = plus_plus(int,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_88])]) ).
cnf(c_0_99,plain,
( ~ dvd_dvd(int,X1,X2)
| ~ ord_less(int,pls,X2)
| ~ ord_less(int,X2,X1) ),
inference(rw,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_100,plain,
( dvd_dvd(X1,one_one(X1),X2)
| ~ comm_semiring_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_101,plain,
( ord_less(int,X1,X2)
| ti(int,X1) = ti(int,X2)
| ord_less(int,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_102,plain,
ti(int,t) = t,
inference(split_conjunct,[status(thm)],[tsy_v_t_____res]) ).
cnf(c_0_103,plain,
( ord_less(int,zero_zero(int),X1)
| ~ ord_less_eq(int,one_one(int),X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_104,plain,
( plus_plus(int,power_power(int,esk1_0,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(int,esk2_0,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))))) = plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),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)],[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_94,c_0_38]),c_0_38]),c_0_38]),c_0_38]),c_0_39]),c_0_39]),c_0_39]),c_0_39]),c_0_39]),c_0_39]),c_0_39]),c_0_39]) ).
cnf(c_0_105,plain,
( plus_plus(int,power_power(int,esk3_0,number_number_of(nat,plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),number_number_of(int,number_number_of(int,one_one(int)))))),power_power(int,esk4_0,number_number_of(nat,plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),number_number_of(int,number_number_of(int,one_one(int))))))) = plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),number_number_of(int,number_number_of(int,one_one(int)))))))))
| ~ ord_less(int,one_one(int),t) ),
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)],[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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_49]),c_0_69]),c_0_54]),c_0_49]),c_0_69]),c_0_54]),c_0_49]),c_0_69]),c_0_54]),c_0_49]),c_0_69]),c_0_54]),c_0_49]),c_0_69]),c_0_54]),c_0_49]),c_0_69]),c_0_54]),c_0_49]),c_0_69]),c_0_54]),c_0_49]),c_0_69]),c_0_54]),c_0_68]),c_0_67]),c_0_49]) ).
cnf(c_0_106,plain,
number_number_of(nat,plus_plus(int,one_one(int),one_one(int))) = plus_plus(nat,one_one(nat),one_one(nat)),
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_66,c_0_68]),c_0_68]),c_0_69]),c_0_69]),c_0_69]),c_0_69]),c_0_84]),c_0_84]),c_0_96]),c_0_96]) ).
cnf(c_0_107,negated_conjecture,
plus_plus(int,power_power(int,X1,plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,X2,plus_plus(nat,one_one(nat),one_one(nat)))) != plus_plus(int,one_one(int),times_times(int,m,plus_plus(int,one_one(int),plus_plus(int,one_one(int),plus_plus(int,one_one(int),one_one(int)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98]),c_0_98]),c_0_98]) ).
cnf(c_0_108,plain,
( ~ ord_less(int,X1,one_one(int))
| ~ ord_less(int,pls,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_74])]) ).
cnf(c_0_109,plain,
( number_number_of(int,X1) = number_number_of(int,X2)
| ord_less(int,X1,X2)
| ord_less(int,X2,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_44]),c_0_54]),c_0_44]),c_0_54]) ).
cnf(c_0_110,plain,
plus_plus(int,pls,t) = t,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_44]),c_0_49]) ).
cnf(c_0_111,plain,
( ord_less(int,pls,X1)
| ~ ord_less_eq(int,one_one(int),X1) ),
inference(rw,[status(thm)],[c_0_103,c_0_90]) ).
cnf(c_0_112,plain,
ord_less_eq(int,one_one(int),t),
inference(split_conjunct,[status(thm)],[fact_0_tpos]) ).
cnf(c_0_113,plain,
( plus_plus(int,power_power(int,esk1_0,number_number_of(nat,plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),number_number_of(int,number_number_of(int,one_one(int)))))),power_power(int,esk2_0,number_number_of(nat,plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),number_number_of(int,number_number_of(int,one_one(int))))))) = plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),plus_plus(int,number_number_of(int,number_number_of(int,one_one(int))),number_number_of(int,number_number_of(int,one_one(int)))))))))
| one_one(int) != t ),
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)],[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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_49]),c_0_69]),c_0_54]),c_0_49]),c_0_69]),c_0_54]),c_0_49]),c_0_69]),c_0_54]),c_0_49]),c_0_69]),c_0_54]),c_0_49]),c_0_69]),c_0_54]),c_0_49]),c_0_69]),c_0_54]),c_0_49]),c_0_69]),c_0_54]),c_0_49]),c_0_69]),c_0_54]),c_0_68]),c_0_67]),c_0_49]) ).
cnf(c_0_114,plain,
~ ord_less(int,one_one(int),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)],[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_105,c_0_70]),c_0_70]),c_0_70]),c_0_70]),c_0_70]),c_0_70]),c_0_70]),c_0_70]),c_0_70]),c_0_70]),c_0_96]),c_0_96]),c_0_106]),c_0_96]),c_0_96]),c_0_106]),c_0_98]),c_0_98]),c_0_98]),c_0_107]) ).
cnf(c_0_115,plain,
( one_one(int) = number_number_of(int,X1)
| ord_less(int,one_one(int),X1)
| ~ ord_less(int,pls,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_84]) ).
cnf(c_0_116,plain,
number_number_of(int,t) = t,
inference(rw,[status(thm)],[c_0_110,c_0_69]) ).
cnf(c_0_117,plain,
ord_less(int,pls,t),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_118,plain,
one_one(int) != 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)],[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_113,c_0_70]),c_0_70]),c_0_70]),c_0_70]),c_0_70]),c_0_70]),c_0_70]),c_0_70]),c_0_70]),c_0_70]),c_0_96]),c_0_96]),c_0_106]),c_0_96]),c_0_96]),c_0_106]),c_0_98]),c_0_98]),c_0_98]),c_0_107]) ).
cnf(c_0_119,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]),c_0_117])]),c_0_118]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM926+6 : TPTP v9.2.1. Released v5.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n020.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:19:35 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 4.44/3.37 % Version : CSE_E---1.7
% 4.44/3.37 % Problem : theBenchmark.p
% 4.44/3.37 % SZS status Theorem for theBenchmark.p
% 4.44/3.37 % SZS output start CNFRefutation
% See solution above
% 4.44/3.39 % Total time : 2.429s
%------------------------------------------------------------------------------