0.07/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s 0.11/0.33 % Computer : n007.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 960 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Tue Aug 9 04:05:42 EDT 2022 0.11/0.33 % CPUTime : 0.18/0.41 openjdk version "1.8.0_171" 0.18/0.41 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.18/0.41 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.18/0.41 file=/export/starexec/sandbox2/benchmark/theBenchmark.p 0.61/0.65 start to proof: theBenchmark 0.62/1.11 % Version : CSE_E---1.4 0.62/1.11 % Problem : theBenchmark.p 0.62/1.11 % Proof found 0.62/1.11 % SZS status Theorem for theBenchmark.p 0.62/1.11 % SZS output start Proof 0.62/1.11 fof(conj_0, conjecture, ?[X3, X4]:plus_plus(int,power_power(int,X3,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X4,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)). 0.62/1.11 fof(fact_126_Bit0__def, axiom, ![X20]:bit0(X20)=plus_plus(int,X20,X20), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_126_Bit0__def)). 0.62/1.11 fof(fact_151_Bit1__def, axiom, ![X20]:bit1(X20)=plus_plus(int,plus_plus(int,one_one(int),X20),X20), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_151_Bit1__def)). 0.62/1.11 fof(fact_86_number__of__is__id, axiom, ![X20]:ti(int,X20)=number_number_of(int,X20), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_86_number__of__is__id)). 0.62/1.12 fof(fact_123_add__Pls__right, axiom, ![X20]:plus_plus(int,X20,pls)=ti(int,X20), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_123_add__Pls__right)). 0.62/1.12 fof(fact_89_zadd__commute, axiom, ![X17, X25]:plus_plus(int,X17,X25)=plus_plus(int,X25,X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_89_zadd__commute)). 0.62/1.12 fof(fact_37_nat__1__add__1, axiom, number_number_of(nat,bit0(bit1(pls)))=plus_plus(nat,one_one(nat),one_one(nat)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_37_nat__1__add__1)). 0.62/1.12 fof(fact_124_add__Pls, axiom, ![X20]:ti(int,X20)=plus_plus(int,pls,X20), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_124_add__Pls)). 0.62/1.12 fof(fact_113_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J, axiom, ![X7]:(![X12, X24, X31]:times_times(X7,power_power(X7,X12,X31),power_power(X7,X24,X31))=power_power(X7,times_times(X7,X12,X24),X31)<=comm_semiring_1(X7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_113_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J)). 0.62/1.12 fof(fact_308_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J, axiom, ![X7]:(comm_semiring_1(X7)=>![X12]:one_one(X7)=power_power(X7,X12,zero_zero(nat))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_308_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J)). 0.62/1.12 fof(fact_128_zmult__1, axiom, ![X17]:times_times(int,one_one(int),X17)=ti(int,X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_128_zmult__1)). 0.62/1.12 fof(tsy_c_Groups_Oplus__class_Oplus_1_arg2, axiom, ![X1, X2, X7]:(plus_plus(X7,X1,ti(X7,X2))=plus_plus(X7,X1,X2)<=ab_group_add(X7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', tsy_c_Groups_Oplus__class_Oplus_1_arg2)). 0.62/1.12 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)). 0.62/1.12 fof(fact_85_zmult__commute, axiom, ![X17, X25]:times_times(int,X17,X25)=times_times(int,X25,X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_85_zmult__commute)). 0.62/1.12 fof(fact_87_zadd__assoc, axiom, ![X50, X51, X58]:plus_plus(int,plus_plus(int,X50,X51),X58)=plus_plus(int,X50,plus_plus(int,X51,X58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_87_zadd__assoc)). 0.62/1.12 fof(fact_132_plus__numeral__code_I9_J, axiom, ![X38, X25]:number_number_of(int,plus_plus(int,X38,X25))=plus_plus(int,number_number_of(int,X38),number_number_of(int,X25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_132_plus__numeral__code_I9_J)). 0.62/1.12 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)). 0.62/1.12 fof(tsy_c_Groups_Oplus__class_Oplus_1_arg1, axiom, ![X1, X2, X7]:(ab_group_add(X7)=>plus_plus(X7,X1,X2)=plus_plus(X7,ti(X7,X1),X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', tsy_c_Groups_Oplus__class_Oplus_1_arg1)). 0.62/1.12 fof(fact_188_zdvd__not__zless, axiom, ![X28, X16]:((~(dvd_dvd(int,X28,X16))<=ord_less(int,X16,X28))<=ord_less(int,zero_zero(int),X16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_188_zdvd__not__zless)). 0.62/1.12 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)=>?[X3, X4]:plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))=plus_plus(int,power_power(int,X3,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X4,number_number_of(nat,bit0(bit1(pls)))))), 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)). 0.62/1.12 fof(fact_147_add__number__of__eq, axiom, ![X7]:(number_ring(X7)=>![X38, X25]:number_number_of(X7,plus_plus(int,X38,X25))=plus_plus(X7,number_number_of(X7,X38),number_number_of(X7,X25))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_147_add__number__of__eq)). 0.62/1.12 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)). 0.62/1.12 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)=>?[X3, X4]:plus_plus(int,power_power(int,X3,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X4,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)). 0.62/1.12 fof(arity_Int_Oint___Int_Onumber__ring, axiom, number_ring(int), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_Int_Oint___Int_Onumber__ring)). 0.62/1.12 fof(fact_202_Pls__def, axiom, pls=zero_zero(int), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_202_Pls__def)). 0.62/1.12 fof(fact_488_one__dvd, axiom, ![X7]:(comm_semiring_1(X7)=>![X5]:dvd_dvd(X7,one_one(X7),X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_488_one__dvd)). 0.62/1.12 fof(fact_23_zless__linear, axiom, ![X12, X24]:(ti(int,X24)=ti(int,X12)|ord_less(int,X24,X12)|ord_less(int,X12,X24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_23_zless__linear)). 0.62/1.12 fof(fact_241_int__one__le__iff__zero__less, axiom, ![X22]:(ord_less_eq(int,one_one(int),X22)<=>ord_less(int,zero_zero(int),X22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_241_int__one__le__iff__zero__less)). 0.62/1.12 fof(tsy_v_t_____res, axiom, ti(int,t)=t, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', tsy_v_t_____res)). 0.62/1.12 fof(fact_0_tpos, axiom, ord_less_eq(int,one_one(int),t), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_0_tpos)). 0.62/1.12 fof(c_0_30, negated_conjecture, ~(?[X3, X4]:plus_plus(int,power_power(int,X3,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X4,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])). 0.62/1.12 fof(c_0_31, negated_conjecture, ![X2197, X2198]:plus_plus(int,power_power(int,X2197,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X2198,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_30])])). 0.62/1.12 fof(c_0_32, plain, ![X1534]:bit0(X1534)=plus_plus(int,X1534,X1534), inference(variable_rename,[status(thm)],[fact_126_Bit0__def])). 0.62/1.12 fof(c_0_33, plain, ![X1626]:bit1(X1626)=plus_plus(int,plus_plus(int,one_one(int),X1626),X1626), inference(variable_rename,[status(thm)],[fact_151_Bit1__def])). 0.62/1.12 fof(c_0_34, plain, ![X1725]:ti(int,X1725)=number_number_of(int,X1725), inference(variable_rename,[status(thm)],[fact_86_number__of__is__id])). 0.62/1.12 fof(c_0_35, plain, ![X1414]:plus_plus(int,X1414,pls)=ti(int,X1414), inference(variable_rename,[status(thm)],[fact_123_add__Pls__right])). 0.62/1.12 cnf(c_0_36, 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_31])). 0.62/1.12 cnf(c_0_37, plain, (bit0(X1)=plus_plus(int,X1,X1)), inference(split_conjunct,[status(thm)],[c_0_32])). 0.62/1.12 cnf(c_0_38, plain, (bit1(X1)=plus_plus(int,plus_plus(int,one_one(int),X1),X1)), inference(split_conjunct,[status(thm)],[c_0_33])). 0.62/1.12 fof(c_0_39, plain, ![X1981, X1982]:plus_plus(int,X1981,X1982)=plus_plus(int,X1982,X1981), inference(variable_rename,[status(thm)],[fact_89_zadd__commute])). 0.62/1.12 cnf(c_0_40, plain, (number_number_of(nat,bit0(bit1(pls)))=plus_plus(nat,one_one(nat),one_one(nat))), inference(split_conjunct,[status(thm)],[fact_37_nat__1__add__1])). 0.62/1.12 fof(c_0_41, plain, ![X2518]:ti(int,X2518)=plus_plus(int,pls,X2518), inference(variable_rename,[status(thm)],[fact_124_add__Pls])). 0.62/1.12 cnf(c_0_42, plain, (ti(int,X1)=number_number_of(int,X1)), inference(split_conjunct,[status(thm)],[c_0_34])). 0.62/1.12 cnf(c_0_43, plain, (plus_plus(int,X1,pls)=ti(int,X1)), inference(split_conjunct,[status(thm)],[c_0_35])). 0.62/1.12 fof(c_0_44, plain, ![X7]:(comm_semiring_1(X7)=>![X12, X24, X31]:times_times(X7,power_power(X7,X12,X31),power_power(X7,X24,X31))=power_power(X7,times_times(X7,X12,X24),X31)), inference(fof_simplification,[status(thm)],[fact_113_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J])). 0.62/1.12 fof(c_0_45, plain, ![X2338, X2339]:(~comm_semiring_1(X2338)|one_one(X2338)=power_power(X2338,X2339,zero_zero(nat))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_308_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J])])])). 0.62/1.12 fof(c_0_46, plain, ![X1522]:times_times(int,one_one(int),X1522)=ti(int,X1522), inference(variable_rename,[status(thm)],[fact_128_zmult__1])). 0.62/1.12 fof(c_0_47, plain, ![X1, X2, X7]:(ab_group_add(X7)=>plus_plus(X7,X1,ti(X7,X2))=plus_plus(X7,X1,X2)), inference(fof_simplification,[status(thm)],[tsy_c_Groups_Oplus__class_Oplus_1_arg2])). 0.62/1.12 fof(c_0_48, hypothesis, ![X1910]:bit0(ti(int,X1910))=bit0(X1910), inference(variable_rename,[status(thm)],[tsy_c_Int_OBit0_arg1])). 0.62/1.12 cnf(c_0_49, 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_36, c_0_37]), c_0_37]), c_0_37]), c_0_37]), c_0_38]), c_0_38]), c_0_38]), c_0_38]), c_0_38]), c_0_38]), c_0_38]), c_0_38])). 0.62/1.12 cnf(c_0_50, plain, (plus_plus(int,X1,X2)=plus_plus(int,X2,X1)), inference(split_conjunct,[status(thm)],[c_0_39])). 0.62/1.12 cnf(c_0_51, 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_40, c_0_37]), c_0_38]), c_0_38])). 0.62/1.12 fof(c_0_52, plain, ![X1574, X1575]:times_times(int,X1574,X1575)=times_times(int,X1575,X1574), inference(variable_rename,[status(thm)],[fact_85_zmult__commute])). 0.62/1.12 fof(c_0_53, plain, ![X2644, X2645, X2646]:plus_plus(int,plus_plus(int,X2644,X2645),X2646)=plus_plus(int,X2644,plus_plus(int,X2645,X2646)), inference(variable_rename,[status(thm)],[fact_87_zadd__assoc])). 0.62/1.12 cnf(c_0_54, plain, (ti(int,X1)=plus_plus(int,pls,X1)), inference(split_conjunct,[status(thm)],[c_0_41])). 0.62/1.12 cnf(c_0_55, plain, (plus_plus(int,X1,pls)=number_number_of(int,X1)), inference(rw,[status(thm)],[c_0_42, c_0_43])). 0.62/1.12 fof(c_0_56, plain, ![X1557, X1558]:number_number_of(int,plus_plus(int,X1557,X1558))=plus_plus(int,number_number_of(int,X1557),number_number_of(int,X1558)), inference(variable_rename,[status(thm)],[fact_132_plus__numeral__code_I9_J])). 0.62/1.12 fof(c_0_57, plain, ![X1455, X1456, X1457, X1458]:(~comm_semiring_1(X1455)|times_times(X1455,power_power(X1455,X1456,X1458),power_power(X1455,X1457,X1458))=power_power(X1455,times_times(X1455,X1456,X1457),X1458)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])). 0.62/1.12 cnf(c_0_58, plain, (one_one(X1)=power_power(X1,X2,zero_zero(nat))|~comm_semiring_1(X1)), inference(split_conjunct,[status(thm)],[c_0_45])). 0.62/1.12 cnf(c_0_59, plain, (comm_semiring_1(int)), inference(split_conjunct,[status(thm)],[arity_Int_Oint___Rings_Ocomm__semiring__1])). 0.62/1.12 cnf(c_0_60, plain, (times_times(int,one_one(int),X1)=ti(int,X1)), inference(split_conjunct,[status(thm)],[c_0_46])). 0.62/1.12 fof(c_0_61, plain, ![X2629, X2630, X2631]:(~ab_group_add(X2631)|plus_plus(X2631,X2629,X2630)=plus_plus(X2631,ti(X2631,X2629),X2630)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[tsy_c_Groups_Oplus__class_Oplus_1_arg1])])). 0.62/1.12 fof(c_0_62, plain, ![X2335, X2336, X2337]:(~ab_group_add(X2337)|plus_plus(X2337,X2335,ti(X2337,X2336))=plus_plus(X2337,X2335,X2336)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])). 0.62/1.12 fof(c_0_63, plain, ![X28, X16]:(ord_less(int,zero_zero(int),X16)=>(ord_less(int,X16,X28)=>~dvd_dvd(int,X28,X16))), inference(fof_simplification,[status(thm)],[fact_188_zdvd__not__zless])). 0.62/1.12 fof(c_0_64, plain, (~ord_less(int,one_one(int),t)|plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))=plus_plus(int,power_power(int,esk11_0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,esk12_0,number_number_of(nat,bit0(bit1(pls)))))), 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])])])). 0.62/1.12 cnf(c_0_65, hypothesis, (bit0(ti(int,X1))=bit0(X1)), inference(split_conjunct,[status(thm)],[c_0_48])). 0.62/1.12 cnf(c_0_66, 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_49, c_0_50]), c_0_50]), c_0_50]), c_0_50]), c_0_50]), c_0_50]), c_0_50]), c_0_50]), c_0_50]), c_0_50]), c_0_50]), c_0_50]), c_0_50]), c_0_50]), c_0_50]), c_0_50]), c_0_50])). 0.62/1.12 cnf(c_0_67, 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_51, c_0_50]), c_0_50]), c_0_50]), c_0_50])). 0.62/1.12 cnf(c_0_68, plain, (times_times(int,X1,X2)=times_times(int,X2,X1)), inference(split_conjunct,[status(thm)],[c_0_52])). 0.62/1.12 cnf(c_0_69, 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_53])). 0.62/1.12 cnf(c_0_70, plain, (plus_plus(int,pls,X1)=number_number_of(int,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_43]), c_0_55])). 0.62/1.12 cnf(c_0_71, plain, (number_number_of(int,plus_plus(int,X1,X2))=plus_plus(int,number_number_of(int,X1),number_number_of(int,X2))), inference(split_conjunct,[status(thm)],[c_0_56])). 0.62/1.12 cnf(c_0_72, plain, (times_times(X1,power_power(X1,X2,X3),power_power(X1,X4,X3))=power_power(X1,times_times(X1,X2,X4),X3)|~comm_semiring_1(X1)), inference(split_conjunct,[status(thm)],[c_0_57])). 0.62/1.12 cnf(c_0_73, plain, (power_power(int,X1,zero_zero(nat))=one_one(int)), inference(spm,[status(thm)],[c_0_58, c_0_59])). 0.62/1.12 cnf(c_0_74, plain, (times_times(int,one_one(int),X1)=number_number_of(int,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_43]), c_0_55])). 0.62/1.12 fof(c_0_75, plain, ![X1911, X1912, X1913]:(~number_ring(X1911)|number_number_of(X1911,plus_plus(int,X1912,X1913))=plus_plus(X1911,number_number_of(X1911,X1912),number_number_of(X1911,X1913))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_147_add__number__of__eq])])])). 0.62/1.12 cnf(c_0_76, plain, (plus_plus(X1,X2,X3)=plus_plus(X1,ti(X1,X2),X3)|~ab_group_add(X1)), inference(split_conjunct,[status(thm)],[c_0_61])). 0.62/1.12 cnf(c_0_77, plain, (ab_group_add(int)), inference(split_conjunct,[status(thm)],[arity_Int_Oint___Groups_Oab__group__add])). 0.62/1.12 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_62])). 0.62/1.12 fof(c_0_79, plain, ![X2489, X2490]:(~ord_less(int,zero_zero(int),X2490)|(~ord_less(int,X2490,X2489)|~dvd_dvd(int,X2489,X2490))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])). 0.62/1.12 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])])])). 0.62/1.12 cnf(c_0_81, plain, (plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))=plus_plus(int,power_power(int,esk11_0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,esk12_0,number_number_of(nat,bit0(bit1(pls)))))|~ord_less(int,one_one(int),t)), inference(split_conjunct,[status(thm)],[c_0_64])). 0.62/1.12 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_65, c_0_37]), c_0_37])). 0.62/1.12 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_66, c_0_67]), c_0_67]), c_0_68]), c_0_69]), c_0_70]), c_0_70]), c_0_70]), c_0_70]), c_0_69]), c_0_69]), c_0_70]), c_0_70]), c_0_70]), c_0_70]), c_0_71]), c_0_71]), c_0_71]), c_0_71])). 0.62/1.12 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_72, c_0_73]), c_0_73]), c_0_74]), c_0_73]), c_0_59])])). 0.62/1.12 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])). 0.62/1.12 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_43]), c_0_55])). 0.62/1.12 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_43]), c_0_55])). 0.62/1.12 cnf(c_0_88, plain, (number_ring(int)), inference(split_conjunct,[status(thm)],[arity_Int_Oint___Int_Onumber__ring])). 0.62/1.12 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])). 0.62/1.12 cnf(c_0_90, plain, (pls=zero_zero(int)), inference(split_conjunct,[status(thm)],[fact_202_Pls__def])). 0.62/1.12 fof(c_0_91, plain, ![X1520, X1521]:(~comm_semiring_1(X1520)|dvd_dvd(X1520,one_one(X1520),X1521)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_488_one__dvd])])])). 0.62/1.12 fof(c_0_92, plain, ![X2229, X2230]:(ti(int,X2230)=ti(int,X2229)|ord_less(int,X2230,X2229)|ord_less(int,X2229,X2230)), inference(variable_rename,[status(thm)],[fact_23_zless__linear])). 0.62/1.12 fof(c_0_93, plain, ![X2146]:((~ord_less_eq(int,one_one(int),X2146)|ord_less(int,zero_zero(int),X2146))&(~ord_less(int,zero_zero(int),X2146)|ord_less_eq(int,one_one(int),X2146))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_241_int__one__le__iff__zero__less])])). 0.62/1.12 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])). 0.62/1.12 cnf(c_0_95, plain, (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))=plus_plus(int,power_power(int,esk11_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,esk12_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)))))|~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_37]), c_0_37]), c_0_37]), c_0_37]), c_0_38]), c_0_38]), c_0_38]), c_0_38]), c_0_38]), c_0_38]), c_0_38]), c_0_38])). 0.62/1.12 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_43]), c_0_55]), c_0_43]), c_0_55]), c_0_71])). 0.62/1.12 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])). 0.62/1.12 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])])). 0.62/1.12 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])). 0.62/1.12 cnf(c_0_100, plain, (dvd_dvd(X1,one_one(X1),X2)|~comm_semiring_1(X1)), inference(split_conjunct,[status(thm)],[c_0_91])). 0.62/1.12 cnf(c_0_101, plain, (ti(int,X1)=ti(int,X2)|ord_less(int,X1,X2)|ord_less(int,X2,X1)), inference(split_conjunct,[status(thm)],[c_0_92])). 0.62/1.12 cnf(c_0_102, plain, (ti(int,t)=t), inference(split_conjunct,[status(thm)],[tsy_v_t_____res])). 0.62/1.12 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])). 0.62/1.12 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_37]), c_0_37]), c_0_37]), c_0_37]), c_0_38]), c_0_38]), c_0_38]), c_0_38]), c_0_38]), c_0_38]), c_0_38]), c_0_38])). 0.62/1.12 cnf(c_0_105, plain, (plus_plus(int,power_power(int,esk11_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,esk12_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_50]), c_0_70]), c_0_55]), c_0_50]), c_0_70]), c_0_55]), c_0_50]), c_0_70]), c_0_55]), c_0_50]), c_0_70]), c_0_55]), c_0_50]), c_0_70]), c_0_55]), c_0_50]), c_0_70]), c_0_55]), c_0_50]), c_0_70]), c_0_55]), c_0_50]), c_0_70]), c_0_55]), c_0_69]), c_0_68]), c_0_50])). 0.62/1.12 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_67, c_0_69]), c_0_69]), c_0_70]), c_0_70]), c_0_70]), c_0_70]), c_0_84]), c_0_84]), c_0_96]), c_0_96])). 0.62/1.12 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])). 0.62/1.12 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_59])])). 0.62/1.12 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_43]), c_0_55]), c_0_43]), c_0_55])). 0.62/1.12 cnf(c_0_110, plain, (plus_plus(int,pls,t)=t), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102, c_0_43]), c_0_50])). 0.62/1.12 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])). 0.62/1.12 cnf(c_0_112, plain, (ord_less_eq(int,one_one(int),t)), inference(split_conjunct,[status(thm)],[fact_0_tpos])). 0.62/1.12 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_50]), c_0_70]), c_0_55]), c_0_50]), c_0_70]), c_0_55]), c_0_50]), c_0_70]), c_0_55]), c_0_50]), c_0_70]), c_0_55]), c_0_50]), c_0_70]), c_0_55]), c_0_50]), c_0_70]), c_0_55]), c_0_50]), c_0_70]), c_0_55]), c_0_50]), c_0_70]), c_0_55]), c_0_69]), c_0_68]), c_0_50])). 0.62/1.12 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_71]), c_0_71]), c_0_71]), c_0_71]), c_0_71]), c_0_71]), c_0_71]), c_0_71]), c_0_71]), c_0_71]), 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])). 0.62/1.12 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])). 0.62/1.12 cnf(c_0_116, plain, (number_number_of(int,t)=t), inference(rw,[status(thm)],[c_0_110, c_0_70])). 0.62/1.12 cnf(c_0_117, plain, (ord_less(int,pls,t)), inference(spm,[status(thm)],[c_0_111, c_0_112])). 0.62/1.12 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_71]), c_0_71]), c_0_71]), c_0_71]), c_0_71]), c_0_71]), c_0_71]), c_0_71]), c_0_71]), c_0_71]), 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])). 0.62/1.12 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']). 0.62/1.12 % SZS output end Proof 0.62/1.12 % Total time : 0.458000 s 0.62/1.14 EOF