0.08/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s 0.14/0.36 % Computer : n018.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 960 0.14/0.36 % WCLimit : 120 0.14/0.36 % DateTime : Tue Aug 9 04:38:15 EDT 2022 0.14/0.36 % CPUTime : 0.22/0.47 openjdk version "1.8.0_171" 0.22/0.47 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.22/0.47 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.22/0.48 file=/export/starexec/sandbox/benchmark/theBenchmark.p 0.69/0.73 start to proof: theBenchmark 0.69/1.09 % Version : CSE_E---1.4 0.69/1.09 % Problem : theBenchmark.p 0.69/1.09 % Proof found 0.69/1.09 % SZS status Theorem for theBenchmark.p 0.69/1.09 % SZS output start Proof 0.69/1.09 fof(fact_347_field__power__not__zero, axiom, ![X830, X831]:((X831!=zero_zero_int=>zero_zero_int!=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X831),X830))<=is_int(X831)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_347_field__power__not__zero)). 0.69/1.09 fof(conj_0, conjecture, hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))!=zero_zero_int, file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)). 0.69/1.09 fof(fact_151_Pls__def, axiom, pls=zero_zero_int, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_151_Pls__def)). 0.69/1.09 fof(gsy_c_hAPP_000tc__Int__Oint_000tc__Int__Oint, hypothesis, ![X47, X48]:(is_int(X48)=>is_int(hAPP_int_int(X47,X48))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__Int__Oint_000tc__Int__Oint)). 0.69/1.09 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__Int__Oint, hypothesis, ![X47, X48]:is_int(hAPP_nat_int(X47,X48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__Nat__Onat_000tc__Int__Oint)). 0.69/1.09 fof(fact_1856_order__less__irrefl, axiom, ![X438]:~(hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X438),X438))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_1856_order__less__irrefl)). 0.69/1.09 fof(fact_0_n1pos, 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,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_0_n1pos)). 0.69/1.09 fof(c_0_7, plain, ![X830, X831]:(is_int(X831)=>(X831!=zero_zero_int=>zero_zero_int!=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X831),X830))), inference(fof_simplification,[status(thm)],[fact_347_field__power__not__zero])). 0.69/1.09 fof(c_0_8, negated_conjecture, hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_int, inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.69/1.09 fof(c_0_9, plain, ![X2007, X2008]:(~is_int(X2008)|(X2008=zero_zero_int|zero_zero_int!=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X2008),X2007))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])). 0.69/1.09 cnf(c_0_10, negated_conjecture, (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_int), inference(split_conjunct,[status(thm)],[c_0_8])). 0.69/1.10 cnf(c_0_11, plain, (pls=zero_zero_int), inference(split_conjunct,[status(thm)],[fact_151_Pls__def])). 0.69/1.10 cnf(c_0_12, plain, (X1=zero_zero_int|~is_int(X1)|zero_zero_int!=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X1),X2)), inference(split_conjunct,[status(thm)],[c_0_9])). 0.69/1.10 cnf(c_0_13, negated_conjecture, (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))=zero_zero_int), inference(rw,[status(thm)],[c_0_10, c_0_11])). 0.69/1.10 fof(c_0_14, hypothesis, ![X1871, X1872]:(~is_int(X1872)|is_int(hAPP_int_int(X1871,X1872))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Int__Oint_000tc__Int__Oint])])). 0.69/1.10 fof(c_0_15, hypothesis, ![X1873, X1874]:is_int(hAPP_nat_int(X1873,X1874)), inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Nat__Onat_000tc__Int__Oint])). 0.69/1.10 fof(c_0_16, plain, ![X438]:~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X438),X438)), inference(fof_simplification,[status(thm)],[fact_1856_order__less__irrefl])). 0.69/1.10 cnf(c_0_17, negated_conjecture, (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))=zero_zero_int|~is_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))), inference(spm,[status(thm)],[c_0_12, c_0_13])). 0.69/1.10 cnf(c_0_18, hypothesis, (is_int(hAPP_int_int(X2,X1))|~is_int(X1)), inference(split_conjunct,[status(thm)],[c_0_14])). 0.69/1.10 cnf(c_0_19, hypothesis, (is_int(hAPP_nat_int(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_15])). 0.69/1.10 fof(c_0_20, plain, ![X2583]:~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2583),X2583)), inference(variable_rename,[status(thm)],[c_0_16])). 0.69/1.10 cnf(c_0_21, 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_nat_int(semiri1621563631at_int,n))))), inference(split_conjunct,[status(thm)],[fact_0_n1pos])). 0.69/1.10 cnf(c_0_22, hypothesis, (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))=zero_zero_int), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19])])). 0.69/1.10 cnf(c_0_23, plain, (~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X1))), inference(split_conjunct,[status(thm)],[c_0_20])). 0.69/1.10 cnf(c_0_24, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22]), c_0_23]), ['proof']). 0.69/1.10 % SZS output end Proof 0.69/1.10 % Total time : 0.377000 s 0.69/1.11 EOF