0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : java -jar mcs_epr.jar %d %s 0.02/0.26 % Computer : n063.star.cs.uiowa.edu 0.02/0.26 % Model : x86_64 x86_64 0.02/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.26 % Memory : 32218.625MB 0.02/0.26 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.26 % CPULimit : 300 0.02/0.26 % DateTime : Sat Jul 14 04:18:55 CDT 2018 0.02/0.26 % CPUTime : 0.06/0.33 openjdk version "1.8.0_144" 0.06/0.33 OpenJDK Runtime Environment (build 1.8.0_144-b01) 0.06/0.33 OpenJDK 64-Bit Server VM (build 25.144-b01, mixed mode) 0.14/0.50 start to proof:theBenchmark.p 0.40/0.62 % Version : CSE_E---1.0 0.40/0.62 % Problem : theBenchmark.p 0.40/0.62 % Proof found! 0.40/0.62 % SZS status Theorem for theBenchmark.p 0.40/0.62 % SZS output start Proof 0.40/0.62 fof(fact_78_Bit0__def, axiom, (![X3]:bit0(X3)=plus_plus(int,X3,X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_78_Bit0__def)). 0.40/0.62 fof(fact_92_Bit1__def, axiom, (![X3]:bit1(X3)=plus_plus(int,plus_plus(int,one_one(int),X3),X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_92_Bit1__def)). 0.40/0.62 fof(conj_0, conjecture, (power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),number_number_of(nat,bit0(bit1(pls))))!=zero_zero(int)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)). 0.40/0.62 fof(fact_10_quartic__square__square, axiom, (![X14]:power_power(int,power_power(int,X14,number_number_of(nat,bit0(bit1(pls)))),number_number_of(nat,bit0(bit1(pls))))=power_power(int,X14,number_number_of(nat,bit0(bit0(bit1(pls)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_10_quartic__square__square)). 0.40/0.62 fof(fact_29_nat__1__add__1, axiom, (number_number_of(nat,bit0(bit1(pls)))=plus_plus(nat,one_one(nat),one_one(nat))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_29_nat__1__add__1)). 0.40/0.62 fof(fact_75_add__Pls__right, axiom, (![X3]:plus_plus(int,X3,pls)=X3), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_75_add__Pls__right)). 0.40/0.62 fof(fact_4_zero__power2, axiom, (![X1]:(power_power(X1,zero_zero(X1),number_number_of(nat,bit0(bit1(pls))))=zero_zero(X1)<=semiring_1(X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_4_zero__power2)). 0.40/0.62 fof(fact_45_zadd__assoc, axiom, (![X19]:![X20]:![X21]:plus_plus(int,X19,plus_plus(int,X20,X21))=plus_plus(int,plus_plus(int,X19,X20),X21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_45_zadd__assoc)). 0.40/0.62 fof(fact_73_Pls__def, axiom, (zero_zero(int)=pls), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_73_Pls__def)). 0.40/0.62 fof(arity_Int_Oint___Rings_Osemiring__1, axiom, (semiring_1(int)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int_Oint___Rings_Osemiring__1)). 0.40/0.62 fof(fact_85_add__numeral__0__right, axiom, (![X1]:(number_ring(X1)=>![X17]:ti(X1,X17)=plus_plus(X1,X17,number_number_of(X1,pls)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_85_add__numeral__0__right)). 0.40/0.62 fof(fact_19_zero__is__num__zero, axiom, (number_number_of(int,pls)=zero_zero(int)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_19_zero__is__num__zero)). 0.40/0.62 fof(fact_86_power__eq__0__iff__number__of, axiom, (![X1]:((((power(X1)&mult_zero(X1))&zero_neq_one(X1))&no_zero_divisors(X1))=>![X2]:![X25]:(zero_zero(X1)=power_power(X1,X2,number_number_of(nat,X25))<=>(zero_zero(nat)!=number_number_of(nat,X25)&zero_zero(X1)=ti(X1,X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_86_power__eq__0__iff__number__of)). 0.40/0.62 fof(arity_Int_Oint___Int_Onumber__ring, axiom, (number_ring(int)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int_Oint___Int_Onumber__ring)). 0.40/0.62 fof(fact_0_n1pos, axiom, (ord_less(int,zero_zero(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_0_n1pos)). 0.40/0.62 fof(arity_Int_Oint___Rings_Ono__zero__divisors, axiom, (no_zero_divisors(int)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int_Oint___Rings_Ono__zero__divisors)). 0.40/0.62 fof(arity_Int_Oint___Rings_Ozero__neq__one, axiom, (zero_neq_one(int)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int_Oint___Rings_Ozero__neq__one)). 0.40/0.62 fof(arity_Int_Oint___Rings_Omult__zero, axiom, (mult_zero(int)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int_Oint___Rings_Omult__zero)). 0.40/0.62 fof(arity_Int_Oint___Power_Opower, axiom, (power(int)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int_Oint___Power_Opower)). 0.40/0.62 fof(fact_32_rel__simps_I2_J, axiom, (~(ord_less(int,pls,pls))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_32_rel__simps_I2_J)). 0.40/0.62 fof(c_0_20, plain, (![X4]:bit0(X4)=plus_plus(int,X4,X4)), inference(variable_rename,[status(thm)],[fact_78_Bit0__def])). 0.40/0.62 fof(c_0_21, plain, (![X4]:bit1(X4)=plus_plus(int,plus_plus(int,one_one(int),X4),X4)), inference(variable_rename,[status(thm)],[fact_92_Bit1__def])). 0.40/0.62 fof(c_0_22, negated_conjecture, (~(power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),number_number_of(nat,bit0(bit1(pls))))!=zero_zero(int))), inference(assume_negation,[status(cth)],[conj_0])). 0.40/0.62 fof(c_0_23, plain, (![X15]:power_power(int,power_power(int,X15,number_number_of(nat,bit0(bit1(pls)))),number_number_of(nat,bit0(bit1(pls))))=power_power(int,X15,number_number_of(nat,bit0(bit0(bit1(pls)))))), inference(variable_rename,[status(thm)],[fact_10_quartic__square__square])). 0.40/0.62 cnf(c_0_24,plain,(number_number_of(nat,bit0(bit1(pls)))=plus_plus(nat,one_one(nat),one_one(nat))), inference(split_conjunct,[status(thm)],[fact_29_nat__1__add__1])). 0.40/0.62 cnf(c_0_25,plain,(bit0(X1)=plus_plus(int,X1,X1)), inference(split_conjunct,[status(thm)],[c_0_20])). 0.40/0.62 cnf(c_0_26,plain,(bit1(X1)=plus_plus(int,plus_plus(int,one_one(int),X1),X1)), inference(split_conjunct,[status(thm)],[c_0_21])). 0.40/0.62 fof(c_0_27, plain, (![X4]:plus_plus(int,X4,pls)=X4), inference(variable_rename,[status(thm)],[fact_75_add__Pls__right])). 0.40/0.62 fof(c_0_28, negated_conjecture, (power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),number_number_of(nat,bit0(bit1(pls))))=zero_zero(int)), inference(fof_simplification,[status(thm)],[c_0_22])). 0.40/0.62 fof(c_0_29, plain, (![X2]:(~semiring_1(X2)|power_power(X2,zero_zero(X2),number_number_of(nat,bit0(bit1(pls))))=zero_zero(X2))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_4_zero__power2])])])). 0.40/0.62 cnf(c_0_30,plain,(power_power(int,power_power(int,X1,number_number_of(nat,bit0(bit1(pls)))),number_number_of(nat,bit0(bit1(pls))))=power_power(int,X1,number_number_of(nat,bit0(bit0(bit1(pls)))))), inference(split_conjunct,[status(thm)],[c_0_23])). 0.40/0.62 cnf(c_0_31,plain,(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(nat,one_one(nat),one_one(nat))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25]), c_0_26]), c_0_26])). 0.40/0.62 cnf(c_0_32,plain,(plus_plus(int,X1,pls)=X1), inference(split_conjunct,[status(thm)],[c_0_27])). 0.40/0.62 fof(c_0_33, plain, (![X22]:![X23]:![X24]:plus_plus(int,X22,plus_plus(int,X23,X24))=plus_plus(int,plus_plus(int,X22,X23),X24)), inference(variable_rename,[status(thm)],[fact_45_zadd__assoc])). 0.40/0.62 cnf(c_0_34,negated_conjecture,(power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),number_number_of(nat,bit0(bit1(pls))))=zero_zero(int)), inference(split_conjunct,[status(thm)],[c_0_28])). 0.40/0.62 cnf(c_0_35,plain,(power_power(X1,zero_zero(X1),number_number_of(nat,bit0(bit1(pls))))=zero_zero(X1)|~semiring_1(X1)), inference(split_conjunct,[status(thm)],[c_0_29])). 0.40/0.62 cnf(c_0_36,plain,(power_power(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)))),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,X1,number_number_of(nat,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)))))), 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_30, c_0_25]), c_0_25]), c_0_25]), c_0_25]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26])). 0.40/0.62 cnf(c_0_37,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)],[c_0_31, c_0_32]), c_0_32]), c_0_32]), c_0_32])). 0.40/0.62 cnf(c_0_38,plain,(plus_plus(int,X1,plus_plus(int,X2,X3))=plus_plus(int,plus_plus(int,X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_33])). 0.40/0.62 cnf(c_0_39,negated_conjecture,(power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),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))))=zero_zero(int)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_25]), c_0_26]), c_0_26])). 0.40/0.62 cnf(c_0_40,plain,(zero_zero(int)=pls), inference(split_conjunct,[status(thm)],[fact_73_Pls__def])). 0.40/0.62 cnf(c_0_41,plain,(power_power(X1,zero_zero(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))))=zero_zero(X1)|~semiring_1(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_25]), c_0_26]), c_0_26])). 0.40/0.62 cnf(c_0_42,plain,(power_power(int,power_power(int,X1,plus_plus(nat,one_one(nat),one_one(nat))),plus_plus(nat,one_one(nat),one_one(nat)))=power_power(int,X1,number_number_of(nat,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)],[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_36, c_0_32]), c_0_32]), c_0_32]), c_0_32]), c_0_37]), c_0_32]), c_0_32]), c_0_32]), c_0_32]), c_0_37]), c_0_32]), c_0_32]), c_0_32]), c_0_32]), c_0_32]), c_0_32]), c_0_32]), c_0_32]), c_0_38])). 0.40/0.62 cnf(c_0_43,negated_conjecture,(power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),plus_plus(nat,one_one(nat),one_one(nat)))=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_39, c_0_32]), c_0_32]), c_0_32]), c_0_32]), c_0_37]), c_0_40])). 0.40/0.62 cnf(c_0_44,plain,(power_power(X1,zero_zero(X1),plus_plus(nat,one_one(nat),one_one(nat)))=zero_zero(X1)|~semiring_1(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_32]), c_0_32]), c_0_32]), c_0_32]), c_0_37])). 0.40/0.62 cnf(c_0_45,plain,(semiring_1(int)), inference(split_conjunct,[status(thm)],[arity_Int_Oint___Rings_Osemiring__1])). 0.40/0.62 fof(c_0_46, plain, (![X18]:![X19]:(~number_ring(X18)|ti(X18,X19)=plus_plus(X18,X19,number_number_of(X18,pls)))), 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_85_add__numeral__0__right])])])])])). 0.40/0.62 cnf(c_0_47,plain,(number_number_of(int,pls)=zero_zero(int)), inference(split_conjunct,[status(thm)],[fact_19_zero__is__num__zero])). 0.40/0.62 fof(c_0_48, plain, (![X26]:![X27]:![X28]:![X27]:![X28]:((((zero_zero(nat)!=number_number_of(nat,X28)|zero_zero(X26)!=power_power(X26,X27,number_number_of(nat,X28)))|(((~power(X26)|~mult_zero(X26))|~zero_neq_one(X26))|~no_zero_divisors(X26)))&((zero_zero(X26)=ti(X26,X27)|zero_zero(X26)!=power_power(X26,X27,number_number_of(nat,X28)))|(((~power(X26)|~mult_zero(X26))|~zero_neq_one(X26))|~no_zero_divisors(X26))))&(((zero_zero(nat)=number_number_of(nat,X28)|zero_zero(X26)!=ti(X26,X27))|zero_zero(X26)=power_power(X26,X27,number_number_of(nat,X28)))|(((~power(X26)|~mult_zero(X26))|~zero_neq_one(X26))|~no_zero_divisors(X26))))), inference(distribute,[status(thm)],[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_86_power__eq__0__iff__number__of])])])])])])). 0.40/0.62 cnf(c_0_49,negated_conjecture,(power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),number_number_of(nat,plus_plus(int,one_one(int),plus_plus(int,one_one(int),plus_plus(int,one_one(int),one_one(int))))))=power_power(int,pls,plus_plus(nat,one_one(nat),one_one(nat)))), inference(spm,[status(thm)],[c_0_42, c_0_43])). 0.40/0.62 cnf(c_0_50,plain,(power_power(int,pls,plus_plus(nat,one_one(nat),one_one(nat)))=pls), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_40]), c_0_40])). 0.40/0.62 cnf(c_0_51,plain,(ti(X1,X2)=plus_plus(X1,X2,number_number_of(X1,pls))|~number_ring(X1)), inference(split_conjunct,[status(thm)],[c_0_46])). 0.40/0.62 cnf(c_0_52,plain,(number_ring(int)), inference(split_conjunct,[status(thm)],[arity_Int_Oint___Int_Onumber__ring])). 0.40/0.62 cnf(c_0_53,plain,(number_number_of(int,pls)=pls), inference(rw,[status(thm)],[c_0_47, c_0_40])). 0.40/0.62 cnf(c_0_54,plain,(ord_less(int,zero_zero(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n)))), inference(split_conjunct,[status(thm)],[fact_0_n1pos])). 0.40/0.62 cnf(c_0_55,plain,(zero_zero(X1)=ti(X1,X2)|~no_zero_divisors(X1)|~zero_neq_one(X1)|~mult_zero(X1)|~power(X1)|zero_zero(X1)!=power_power(X1,X2,number_number_of(nat,X3))), inference(split_conjunct,[status(thm)],[c_0_48])). 0.40/0.62 cnf(c_0_56,negated_conjecture,(power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),number_number_of(nat,plus_plus(int,one_one(int),plus_plus(int,one_one(int),plus_plus(int,one_one(int),one_one(int))))))=pls), inference(rw,[status(thm)],[c_0_49, c_0_50])). 0.40/0.62 cnf(c_0_57,plain,(ti(int,X1)=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_53]), c_0_32])). 0.40/0.62 cnf(c_0_58,plain,(no_zero_divisors(int)), inference(split_conjunct,[status(thm)],[arity_Int_Oint___Rings_Ono__zero__divisors])). 0.40/0.62 cnf(c_0_59,plain,(zero_neq_one(int)), inference(split_conjunct,[status(thm)],[arity_Int_Oint___Rings_Ozero__neq__one])). 0.40/0.62 cnf(c_0_60,plain,(mult_zero(int)), inference(split_conjunct,[status(thm)],[arity_Int_Oint___Rings_Omult__zero])). 0.40/0.62 cnf(c_0_61,plain,(power(int)), inference(split_conjunct,[status(thm)],[arity_Int_Oint___Power_Opower])). 0.40/0.62 fof(c_0_62, plain, (~ord_less(int,pls,pls)), inference(fof_simplification,[status(thm)],[fact_32_rel__simps_I2_J])). 0.40/0.62 cnf(c_0_63,plain,(ord_less(int,pls,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)))), inference(rw,[status(thm)],[c_0_54, c_0_40])). 0.40/0.62 cnf(c_0_64,negated_conjecture,(plus_plus(int,one_one(int),semiring_1_of_nat(int,n))=pls), 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_57]), c_0_40]), c_0_40]), c_0_58]), c_0_59]), c_0_60]), c_0_61])])). 0.40/0.62 cnf(c_0_65,plain,(~ord_less(int,pls,pls)), inference(split_conjunct,[status(thm)],[c_0_62])). 0.40/0.62 cnf(c_0_66,plain,($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_63, c_0_64]), c_0_65]), ['proof']). 0.40/0.62 % SZS output end Proof 0.40/0.62 % User time : 0.038 s 0.40/0.62 % System time : 0.005 s 0.40/0.62 % Total time : 0.042 s 0.40/0.62 0.40/0.64 EOF