0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s 0.11/0.31 % Computer : n028.cluster.edu 0.11/0.31 % Model : x86_64 x86_64 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.31 % Memory : 8042.1875MB 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.31 % CPULimit : 960 0.11/0.31 % WCLimit : 120 0.11/0.31 % DateTime : Tue Aug 9 02:26:50 EDT 2022 0.16/0.31 % CPUTime : 0.49/0.56 start to proof:theBenchmark 4.87/4.95 %------------------------------------------- 4.87/4.95 % File :CSE---1.5 4.87/4.95 % Problem :theBenchmark 4.87/4.95 % Transform :cnf 4.87/4.95 % Format :tptp:raw 4.87/4.95 % Command :java -jar mcs_scs.jar %d %s 4.87/4.95 4.87/4.95 % Result :Theorem 4.310000s 4.87/4.95 % Output :CNFRefutation 4.310000s 4.87/4.95 %------------------------------------------- 4.87/4.95 fof(tsy_c_Power_Opower__class_Opower_1_arg2,axiom, 4.87/4.95 ! [B_1,B_2,X_a] : 4.87/4.95 ( power_power(X_a,B_1,ti(nat,B_2)) = power_power(X_a,B_1,B_2) 4.87/4.95 <= ( power(X_a) 4.87/4.95 & semiring_0(X_a) ) ) ). 4.87/4.95 4.87/4.95 fof(arity_Nat_Onat___Rings_Omult__zero,axiom, 4.87/4.95 mult_zero(nat) ). 4.87/4.95 4.87/4.95 fof(fact_44_even__less__0__iff,axiom, 4.87/4.95 ! [X_a] : 4.87/4.95 ( ! [A_2] : 4.87/4.95 ( ord_less(X_a,plus_plus(X_a,A_2,A_2),zero_zero(X_a)) 4.87/4.95 <=> ord_less(X_a,A_2,zero_zero(X_a)) ) 4.87/4.95 <= linordered_idom(X_a) ) ). 4.87/4.95 4.87/4.95 fof(fact_70_rel__simps_I44_J,axiom, 4.87/4.95 ! [K_1] : 4.87/4.95 ( bit0(K_1) = pls 4.87/4.95 <=> pls = K_1 ) ). 4.87/4.95 4.87/4.95 fof(fact_61_int__less__0__conv,axiom, 4.87/4.95 ! [K] : ~ ord_less(int,semiring_1_of_nat(int,K),zero_zero(int)) ). 4.87/4.95 4.87/4.95 fof(fact_92_Bit1__def,axiom, 4.87/4.95 ! [K] : bit1(K) = plus_plus(int,plus_plus(int,one_one(int),K),K) ). 4.87/4.95 4.87/4.95 fof(fact_81_semiring__numeral__0__eq__0,axiom, 4.87/4.95 ! [X_a] : 4.87/4.95 ( number_semiring(X_a) 4.87/4.95 => number_number_of(X_a,pls) = zero_zero(X_a) ) ). 4.87/4.95 4.87/4.95 fof(fact_60_zless__add1__eq,axiom, 4.87/4.95 ! [Wa,Z_1] : 4.87/4.95 ( ord_less(int,Wa,plus_plus(int,Z_1,one_one(int))) 4.87/4.95 <=> ( ord_less(int,Wa,Z_1) 4.87/4.95 | Wa = Z_1 ) ) ). 4.87/4.95 4.87/4.95 fof(fact_8_one__add__one__is__two,axiom, 4.87/4.95 ! [X_a] : 4.87/4.95 ( number_ring(X_a) 4.87/4.95 => number_number_of(X_a,bit0(bit1(pls))) = plus_plus(X_a,one_one(X_a),one_one(X_a)) ) ). 4.87/4.95 4.87/4.95 fof(fact_46_zadd__left__commute,axiom, 4.87/4.95 ! [X,Y,Z] : plus_plus(int,X,plus_plus(int,Y,Z)) = plus_plus(int,Y,plus_plus(int,X,Z)) ). 4.87/4.95 4.87/4.95 fof(fact_51_rel__simps_I12_J,axiom, 4.87/4.95 ! [K_1] : 4.87/4.95 ( ord_less(int,bit1(K_1),pls) 4.87/4.95 <=> ord_less(int,K_1,pls) ) ). 4.87/4.95 4.87/4.95 fof(fact_88_add__number__of__eq,axiom, 4.87/4.95 ! [X_a] : 4.87/4.95 ( number_ring(X_a) 4.87/4.95 => ! [V,W] : number_number_of(X_a,plus_plus(int,V,W)) = plus_plus(X_a,number_number_of(X_a,V),number_number_of(X_a,W)) ) ). 4.87/4.95 4.87/4.95 fof(fact_27_int__eq__0__conv,axiom, 4.87/4.95 ! [Na] : 4.87/4.95 ( zero_zero(int) = semiring_1_of_nat(int,Na) 4.87/4.95 <=> zero_zero(nat) = Na ) ). 4.87/4.95 4.87/4.95 fof(fact_67_rel__simps_I39_J,axiom, 4.87/4.95 ! [L] : pls != bit1(L) ). 4.87/4.95 4.87/4.95 fof(tsy_c_Power_Opower__class_Opower_1_arg1,axiom, 4.87/4.95 ! [B_1,B_2,X_a] : 4.87/4.95 ( power_power(X_a,ti(X_a,B_1),B_2) = power_power(X_a,B_1,B_2) 4.87/4.95 <= ( power(X_a) 4.87/4.95 & semiring_0(X_a) ) ) ). 4.87/4.95 4.87/4.95 fof(tsy_c_Groups_Oplus__class_Oplus_1_res,axiom, 4.87/4.95 ! [B_1,B_2,X_a] : 4.87/4.95 ( plus_plus(X_a,B_1,B_2) = ti(X_a,plus_plus(X_a,B_1,B_2)) 4.87/4.95 <= number_semiring(X_a) ) ). 4.87/4.95 4.87/4.95 fof(fact_13_numeral__1__eq__1,axiom, 4.87/4.95 ! [X_a] : 4.87/4.95 ( number_ring(X_a) 4.87/4.95 => number_number_of(X_a,bit1(pls)) = one_one(X_a) ) ). 4.87/4.95 4.87/4.95 fof(fact_2_sum__power2__eq__zero__iff,axiom, 4.87/4.95 ! [X_a] : 4.87/4.95 ( ! [Xa,Ya] : 4.87/4.96 ( ( ti(X_a,Xa) = zero_zero(X_a) 4.87/4.96 & zero_zero(X_a) = ti(X_a,Ya) ) 4.87/4.96 <=> plus_plus(X_a,power_power(X_a,Xa,number_number_of(nat,bit0(bit1(pls)))),power_power(X_a,Ya,number_number_of(nat,bit0(bit1(pls))))) = zero_zero(X_a) ) 4.87/4.96 <= linordered_idom(X_a) ) ). 4.87/4.96 4.87/4.96 fof(fact_97_sum__power2__gt__zero__iff,axiom, 4.87/4.96 ! [X_a] : 4.87/4.96 ( ! [Xa,Ya] : 4.87/4.96 ( ord_less(X_a,zero_zero(X_a),plus_plus(X_a,power_power(X_a,Xa,number_number_of(nat,bit0(bit1(pls)))),power_power(X_a,Ya,number_number_of(nat,bit0(bit1(pls)))))) 4.87/4.96 <=> ( ti(X_a,Xa) != zero_zero(X_a) 4.87/4.96 | zero_zero(X_a) != ti(X_a,Ya) ) ) 4.87/4.96 <= linordered_idom(X_a) ) ). 4.87/4.96 4.87/4.96 fof(fact_56_bin__less__0__simps_I4_J,axiom, 4.87/4.96 ! [Wa] : 4.87/4.96 ( ord_less(int,bit1(Wa),zero_zero(int)) 4.87/4.96 <=> ord_less(int,Wa,zero_zero(int)) ) ). 4.87/4.96 4.87/4.96 fof(arity_Nat_Onat___Int_Onumber__semiring,axiom, 4.87/4.96 number_semiring(nat) ). 4.87/4.96 4.87/4.96 fof(arity_Nat_Onat___Rings_Osemiring__0,axiom, 4.87/4.96 semiring_0(nat) ). 4.87/4.96 4.87/4.96 fof(fact_54_rel__simps_I10_J,axiom, 4.87/4.96 ! [K_1] : 4.87/4.96 ( ord_less(int,bit0(K_1),pls) 4.87/4.96 <=> ord_less(int,K_1,pls) ) ). 4.87/4.96 4.87/4.96 fof(fact_63_less__special_I2_J,axiom, 4.87/4.96 ! [X_a] : 4.87/4.96 ( ( number_ring(X_a) 4.87/4.96 & linordered_idom(X_a) ) 4.87/4.96 => ! [Ya] : 4.87/4.96 ( ord_less(X_a,one_one(X_a),number_number_of(X_a,Ya)) 4.87/4.96 <=> ord_less(int,bit1(pls),Ya) ) ) ). 4.87/4.96 4.87/4.96 fof(tsy_c_Orderings_Oord__class_Oless_1_arg2,axiom, 4.87/4.96 ! [B_1,B_2] : 4.87/4.96 ( ord_less(nat,B_1,ti(nat,B_2)) 4.87/4.96 <=> ord_less(nat,B_1,B_2) ) ). 4.87/4.96 4.87/4.96 fof(fact_74_int__0__neq__1,axiom, 4.87/4.96 zero_zero(int) != one_one(int) ). 4.87/4.96 4.87/4.96 fof(fact_78_Bit0__def,axiom, 4.87/4.96 ! [K] : bit0(K) = plus_plus(int,K,K) ). 4.87/4.96 4.87/4.96 fof(fact_36_add__nat__number__of,axiom, 4.87/4.96 ! [V_1,V] : 4.87/4.96 ( ( plus_plus(nat,number_number_of(nat,V),number_number_of(nat,V_1)) = number_number_of(nat,V_1) 4.87/4.96 <= ord_less(int,V,pls) ) 4.87/4.96 & ( ( ( ord_less(int,V_1,pls) 4.87/4.96 => number_number_of(nat,V) = plus_plus(nat,number_number_of(nat,V),number_number_of(nat,V_1)) ) 4.87/4.96 & ( plus_plus(nat,number_number_of(nat,V),number_number_of(nat,V_1)) = number_number_of(nat,plus_plus(int,V,V_1)) 4.87/4.96 <= ~ ord_less(int,V_1,pls) ) ) 4.87/4.96 <= ~ ord_less(int,V,pls) ) ) ). 4.87/4.96 4.87/4.96 fof(fact_38_nat__numeral__1__eq__1,axiom, 4.87/4.96 number_number_of(nat,bit1(pls)) = one_one(nat) ). 4.87/4.96 4.87/4.96 fof(fact_90_add__Bit1__Bit0,axiom, 4.87/4.96 ! [K,L] : bit1(plus_plus(int,K,L)) = plus_plus(int,bit1(K),bit0(L)) ). 4.87/4.96 4.87/4.96 fof(fact_93_odd__nonzero,axiom, 4.87/4.96 ! [Z] : plus_plus(int,plus_plus(int,one_one(int),Z),Z) != zero_zero(int) ). 4.87/4.96 4.87/4.96 fof(tsy_c_Int_OBit1_res,hypothesis, 4.87/4.96 ! [B_1] : ti(int,bit1(B_1)) = bit1(B_1) ). 4.87/4.96 4.87/4.96 fof(tsy_c_Orderings_Oord__class_Oless_0_arg1,axiom, 4.87/4.96 ! [B_1,B_2,X_a] : 4.87/4.96 ( linordered_idom(X_a) 4.87/4.96 => ( ord_less(X_a,B_1,B_2) 4.87/4.96 <=> ord_less(X_a,ti(X_a,B_1),B_2) ) ) ). 4.87/4.96 4.87/4.96 fof(fact_37_one__is__num__one,axiom, 4.87/4.96 one_one(int) = number_number_of(int,bit1(pls)) ). 4.87/4.96 4.87/4.96 fof(fact_22_zadd__int__left,axiom, 4.87/4.96 ! [M,N,Z] : plus_plus(int,semiring_1_of_nat(int,plus_plus(nat,M,N)),Z) = plus_plus(int,semiring_1_of_nat(int,M),plus_plus(int,semiring_1_of_nat(int,N),Z)) ). 4.87/4.96 4.87/4.96 fof(fact_85_add__numeral__0__right,axiom, 4.87/4.96 ! [X_a] : 4.87/4.96 ( number_ring(X_a) 4.87/4.96 => ! [A_1] : ti(X_a,A_1) = plus_plus(X_a,A_1,number_number_of(X_a,pls)) ) ). 4.87/4.96 4.87/4.96 fof(fact_73_Pls__def,axiom, 4.87/4.96 pls = zero_zero(int) ). 4.87/4.96 4.87/4.96 fof(tsy_c_Int_OBit0_res,hypothesis, 4.87/4.96 ! [B_1] : bit0(B_1) = ti(int,bit0(B_1)) ). 4.87/4.96 4.87/4.96 fof(tsy_v_t_____res,axiom, 4.87/4.96 ti(int,t) = t ). 4.87/4.96 4.87/4.96 fof(arity_Int_Oint___Rings_Oring__1__no__zero__divisors,axiom, 4.87/4.96 ring_11004092258visors(int) ). 4.87/4.96 4.87/4.96 fof(fact_79_zadd__0__right,axiom, 4.87/4.96 ! [Z] : plus_plus(int,Z,zero_zero(int)) = Z ). 4.87/4.96 4.87/4.96 fof(fact_82_number__of__Pls,axiom, 4.87/4.96 ! [X_a] : 4.87/4.96 ( number_number_of(X_a,pls) = zero_zero(X_a) 4.87/4.96 <= number_ring(X_a) ) ). 4.87/4.96 4.87/4.96 fof(fact_50_less__special_I1_J,axiom, 4.87/4.96 ! [X_a] : 4.87/4.96 ( ! [Ya] : 4.87/4.96 ( ord_less(X_a,zero_zero(X_a),number_number_of(X_a,Ya)) 4.87/4.96 <=> ord_less(int,pls,Ya) ) 4.87/4.96 <= ( number_ring(X_a) 4.87/4.96 & linordered_idom(X_a) ) ) ). 4.87/4.96 4.87/4.96 fof(arity_Nat_Onat___Int_Onumber,axiom, 4.87/4.96 number(nat) ). 4.87/4.96 4.87/4.96 fof(tsy_c_HOL_Oundefined_res,axiom, 4.87/4.96 ! [X_a] : ti(X_a,undefined(X_a)) = undefined(X_a) ). 4.87/4.96 4.87/4.96 fof(fact_48_int__int__eq,axiom, 4.87/4.96 ! [Ma,Na] : 4.87/4.96 ( semiring_1_of_nat(int,Ma) = semiring_1_of_nat(int,Na) 4.87/4.96 <=> Na = Ma ) ). 4.87/4.96 4.87/4.96 fof(fact_29_nat__1__add__1,axiom, 4.87/4.96 number_number_of(nat,bit0(bit1(pls))) = plus_plus(nat,one_one(nat),one_one(nat)) ). 4.87/4.96 4.87/4.96 fof(fact_32_rel__simps_I2_J,axiom, 4.87/4.96 ~ ord_less(int,pls,pls) ). 4.87/4.96 4.87/4.96 fof(tsy_c_Orderings_Oord__class_Oless_0_arg2,axiom, 4.87/4.96 ! [B_1,B_2,X_a] : 4.87/4.96 ( ( ord_less(X_a,B_1,ti(X_a,B_2)) 4.87/4.96 <=> ord_less(X_a,B_1,B_2) ) 4.87/4.96 <= linordered_idom(X_a) ) ). 4.87/4.96 4.87/4.96 fof(arity_Int_Oint___Rings_Ono__zero__divisors,axiom, 4.87/4.96 no_zero_divisors(int) ). 4.87/4.96 4.87/4.96 fof(fact_10_quartic__square__square,axiom, 4.87/4.96 ! [X] : power_power(int,X,number_number_of(nat,bit0(bit0(bit1(pls))))) = power_power(int,power_power(int,X,number_number_of(nat,bit0(bit1(pls)))),number_number_of(nat,bit0(bit1(pls)))) ). 4.87/4.96 4.87/4.96 fof(fact_94_number__of__int,axiom, 4.87/4.96 ! [X_a] : 4.87/4.96 ( ! [N] : number_number_of(X_a,semiring_1_of_nat(int,N)) = semiring_1_of_nat(X_a,N) 4.87/4.96 <= number_semiring(X_a) ) ). 4.87/4.96 4.87/4.96 fof(fact_39_Numeral1__eq1__nat,axiom, 4.87/4.96 one_one(nat) = number_number_of(nat,bit1(pls)) ). 4.87/4.96 4.87/4.96 fof(fact_69_rel__simps_I49_J,axiom, 4.87/4.96 ! [K,L] : bit0(K) != bit1(L) ). 4.87/4.96 4.87/4.96 fof(fact_71_rel__simps_I38_J,axiom, 4.87/4.96 ! [L_1] : 4.87/4.96 ( L_1 = pls 4.87/4.96 <=> bit0(L_1) = pls ) ). 4.87/4.96 4.87/4.96 fof(fact_41_number__of__reorient,axiom, 4.87/4.96 ! [X_a] : 4.87/4.96 ( number(X_a) 4.87/4.96 => ! [Wa,Xa] : 4.87/4.96 ( number_number_of(X_a,Wa) = ti(X_a,Xa) 4.87/4.96 <=> ti(X_a,Xa) = number_number_of(X_a,Wa) ) ) ). 4.87/4.96 4.87/4.96 fof(tsy_c_Orderings_Oord__class_Oless_1_arg1,axiom, 4.87/4.96 ! [B_1,B_2] : 4.87/4.96 ( ord_less(nat,ti(nat,B_1),B_2) 4.87/4.96 <=> ord_less(nat,B_1,B_2) ) ). 4.87/4.96 4.87/4.96 fof(arity_Int_Oint___Power_Opower,axiom, 4.87/4.96 power(int) ). 4.87/4.96 4.87/4.96 fof(fact_62_less__special_I4_J,axiom, 4.87/4.96 ! [X_a] : 4.87/4.96 ( ( number_ring(X_a) 4.87/4.96 & linordered_idom(X_a) ) 4.87/4.96 => ! [Xa] : 4.87/4.96 ( ord_less(X_a,number_number_of(X_a,Xa),one_one(X_a)) 4.87/4.96 <=> ord_less(int,Xa,bit1(pls)) ) ) ). 4.87/4.96 4.87/4.96 fof(fact_47_zadd__commute,axiom, 4.87/4.96 ! [Z,W] : plus_plus(int,Z,W) = plus_plus(int,W,Z) ). 4.87/4.96 4.87/4.96 fof(tsy_c_Nat_Osemiring__1__class_Oof__nat_res,axiom, 4.87/4.96 ! [B_1,X_a] : 4.87/4.96 ( number_semiring(X_a) 4.87/4.96 => semiring_1_of_nat(X_a,B_1) = ti(X_a,semiring_1_of_nat(X_a,B_1)) ) ). 4.87/4.96 4.87/4.96 fof(fact_95_zero__less__power2,axiom, 4.87/4.96 ! [X_a] : 4.87/4.96 ( linordered_idom(X_a) 4.87/4.96 => ! [A_2] : 4.87/4.96 ( ord_less(X_a,zero_zero(X_a),power_power(X_a,A_2,number_number_of(nat,bit0(bit1(pls))))) 4.87/4.96 <=> ti(X_a,A_2) != zero_zero(X_a) ) ) ). 4.87/4.96 4.87/4.96 fof(tsy_c_Power_Opower__class_Opower_1_res,axiom, 4.87/4.96 ! [B_1,B_2,X_a] : 4.87/4.96 ( ( power(X_a) 4.87/4.96 & semiring_0(X_a) ) 4.87/4.96 => power_power(X_a,B_1,B_2) = ti(X_a,power_power(X_a,B_1,B_2)) ) ). 4.87/4.96 4.87/4.96 fof(fact_66_rel__simps_I46_J,axiom, 4.87/4.96 ! [K] : bit1(K) != pls ). 4.87/4.96 4.87/4.96 fof(fact_59_int__0__less__1,axiom, 4.87/4.96 ord_less(int,zero_zero(int),one_one(int)) ). 4.87/4.96 4.87/4.96 fof(arity_Int_Oint___Groups_Olinordered__ab__group__add,axiom, 4.87/4.96 linord219039673up_add(int) ). 4.87/4.96 4.87/4.96 fof(fact_86_power__eq__0__iff__number__of,axiom, 4.87/4.96 ! [X_a] : 4.87/4.96 ( ! [A_2,Wa] : 4.87/4.96 ( ( zero_zero(nat) != number_number_of(nat,Wa) 4.87/4.96 & ti(X_a,A_2) = zero_zero(X_a) ) 4.87/4.96 <=> zero_zero(X_a) = power_power(X_a,A_2,number_number_of(nat,Wa)) ) 4.87/4.96 <= ( zero_neq_one(X_a) 4.87/4.96 & no_zero_divisors(X_a) 4.87/4.96 & mult_zero(X_a) 4.87/4.96 & power(X_a) ) ) ). 4.87/4.96 4.87/4.96 fof(tsy_c_Groups_Oone__class_Oone_res,axiom, 4.87/4.96 ! [X_a] : 4.87/4.96 ( one_one(X_a) = ti(X_a,one_one(X_a)) 4.87/4.96 <= ( power(X_a) 4.87/4.96 & semiring_0(X_a) ) ) ). 4.87/4.96 4.87/4.96 fof(fact_34_rel__simps_I14_J,axiom, 4.87/4.96 ! [K_1,L_1] : 4.87/4.96 ( ord_less(int,K_1,L_1) 4.87/4.96 <=> ord_less(int,bit0(K_1),bit0(L_1)) ) ). 4.87/4.96 4.87/4.96 fof(fact_53_rel__simps_I16_J,axiom, 4.87/4.96 ! [K_1,L_1] : 4.87/4.96 ( ord_less(int,bit1(K_1),bit0(L_1)) 4.87/4.96 <=> ord_less(int,K_1,L_1) ) ). 4.87/4.96 4.87/4.96 fof(fact_11_power__0__left__number__of,axiom, 4.87/4.96 ! [X_a] : 4.87/4.96 ( ( power(X_a) 4.87/4.96 & semiring_0(X_a) ) 4.87/4.96 => ! [W] : 4.87/4.96 ( ( number_number_of(nat,W) = zero_zero(nat) 4.87/4.96 => power_power(X_a,zero_zero(X_a),number_number_of(nat,W)) = one_one(X_a) ) 4.87/4.96 & ( number_number_of(nat,W) != zero_zero(nat) 4.87/4.96 => zero_zero(X_a) = power_power(X_a,zero_zero(X_a),number_number_of(nat,W)) ) ) ) ). 4.87/4.96 4.87/4.96 fof(fact_77_add__Bit0__Bit0,axiom, 4.87/4.96 ! [K,L] : bit0(plus_plus(int,K,L)) = plus_plus(int,bit0(K),bit0(L)) ). 4.87/4.96 4.87/4.96 fof(fact_87_add__number__of__left,axiom, 4.87/4.96 ! [X_a] : 4.87/4.96 ( number_ring(X_a) 4.87/4.96 => ! [V,W,Z] : plus_plus(X_a,number_number_of(X_a,V),plus_plus(X_a,number_number_of(X_a,W),Z)) = plus_plus(X_a,number_number_of(X_a,plus_plus(int,V,W)),Z) ) ). 4.87/4.96 4.87/4.96 fof(fact_45_zadd__assoc,axiom, 4.87/4.96 ! [Z1,Z2,Z3] : plus_plus(int,Z1,plus_plus(int,Z2,Z3)) = plus_plus(int,plus_plus(int,Z1,Z2),Z3) ). 4.87/4.96 4.87/4.96 fof(fact_28_int__0,axiom, 4.87/4.96 semiring_1_of_nat(int,zero_zero(nat)) = zero_zero(int) ). 4.87/4.96 4.87/4.96 fof(fact_76_add__Pls,axiom, 4.87/4.96 ! [K] : K = plus_plus(int,pls,K) ). 4.87/4.96 4.87/4.96 fof(arity_Nat_Onat___Rings_Ozero__neq__one,axiom, 4.87/4.96 zero_neq_one(nat) ). 4.87/4.97 4.87/4.97 fof(tsy_c_Int_Onumber__class_Onumber__of_res,axiom, 4.87/4.97 ! [B_1,X_a] : 4.87/4.97 ( number(X_a) 4.87/4.97 => ti(X_a,number_number_of(X_a,B_1)) = number_number_of(X_a,B_1) ) ). 4.87/4.97 4.87/4.97 fof(fact_31_rel__simps_I17_J,axiom, 4.87/4.97 ! [K_1,L_1] : 4.87/4.97 ( ord_less(int,bit1(K_1),bit1(L_1)) 4.87/4.97 <=> ord_less(int,K_1,L_1) ) ). 4.87/4.97 4.87/4.97 fof(fact_35_zadd__strict__right__mono,axiom, 4.87/4.97 ! [K,I,J] : 4.87/4.97 ( ord_less(int,plus_plus(int,I,K),plus_plus(int,J,K)) 4.87/4.97 <= ord_less(int,I,J) ) ). 4.87/4.97 4.87/4.97 fof(fact_3_one__power2,axiom, 4.87/4.97 ! [X_a] : 4.87/4.97 ( semiring_1(X_a) 4.87/4.97 => power_power(X_a,one_one(X_a),number_number_of(nat,bit0(bit1(pls)))) = one_one(X_a) ) ). 4.87/4.97 4.87/4.97 fof(fact_20_zpower__int,axiom, 4.87/4.97 ! [M,N] : semiring_1_of_nat(int,power_power(nat,M,N)) = power_power(int,semiring_1_of_nat(int,M),N) ). 4.87/4.97 4.87/4.97 fof(fact_1_t1,axiom, 4.87/4.97 ord_less(int,one_one(int),t) ). 4.87/4.97 4.87/4.97 fof(fact_17_plus__numeral__code_I9_J,axiom, 4.87/4.97 ! [V,W] : number_number_of(int,plus_plus(int,V,W)) = plus_plus(int,number_number_of(int,V),number_number_of(int,W)) ). 4.87/4.97 4.87/4.97 fof(fact_14_n0,axiom, 4.87/4.97 ord_less(nat,zero_zero(nat),n) ). 4.87/4.97 4.87/4.97 fof(fact_89_number__of__add,axiom, 4.87/4.97 ! [X_a] : 4.87/4.97 ( number_ring(X_a) 4.87/4.97 => ! [V,W] : plus_plus(X_a,number_number_of(X_a,V),number_number_of(X_a,W)) = number_number_of(X_a,plus_plus(int,V,W)) ) ). 4.87/4.97 4.87/4.97 fof(tsy_c_Int_OBit0_arg1,hypothesis, 4.87/4.97 ! [B_1] : bit0(ti(int,B_1)) = bit0(B_1) ). 4.87/4.97 4.87/4.97 fof(fact_43_rel__simps_I48_J,axiom, 4.87/4.97 ! [K_1,L_1] : 4.87/4.97 ( L_1 = K_1 4.87/4.97 <=> bit0(L_1) = bit0(K_1) ) ). 4.87/4.97 4.87/4.97 fof(fact_58_bin__less__0__simps_I3_J,axiom, 4.87/4.97 ! [Wa] : 4.87/4.97 ( ord_less(int,bit0(Wa),zero_zero(int)) 4.87/4.97 <=> ord_less(int,Wa,zero_zero(int)) ) ). 4.87/4.97 4.87/4.97 fof(tsy_c_Power_Opower__class_Opower_0_res,axiom, 4.87/4.97 ! [B_1,B_2,X_a] : 4.87/4.97 ( ti(X_a,power_power(X_a,B_1,B_2)) = power_power(X_a,B_1,B_2) 4.87/4.97 <= ( power(X_a) 4.87/4.97 & no_zero_divisors(X_a) 4.87/4.97 & zero_neq_one(X_a) 4.87/4.97 & mult_zero(X_a) ) ) ). 4.87/4.97 4.87/4.97 fof(arity_Int_Oint___Int_Onumber,axiom, 4.87/4.97 number(int) ). 4.87/4.97 4.87/4.97 fof(help_ti_idem,axiom, 4.87/4.97 ! [T,A] : ti(T,A) = ti(T,ti(T,A)) ). 4.87/4.97 4.87/4.97 fof(tsy_c_Groups_Oplus__class_Oplus_0_res,axiom, 4.87/4.97 ! [B_1,B_2,X_a] : 4.87/4.97 ( linord219039673up_add(X_a) 4.87/4.97 => plus_plus(X_a,B_1,B_2) = ti(X_a,plus_plus(X_a,B_1,B_2)) ) ). 4.87/4.97 4.87/4.97 fof(tsy_c_Power_Opower__class_Opower_0_arg1,axiom, 4.87/4.97 ! [B_1,B_2,X_a] : 4.87/4.97 ( power_power(X_a,ti(X_a,B_1),B_2) = power_power(X_a,B_1,B_2) 4.87/4.97 <= ( zero_neq_one(X_a) 4.87/4.97 & no_zero_divisors(X_a) 4.87/4.97 & mult_zero(X_a) 4.87/4.97 & power(X_a) ) ) ). 4.87/4.97 4.87/4.97 fof(fact_91_add__Bit0__Bit1,axiom, 4.87/4.97 ! [K,L] : plus_plus(int,bit0(K),bit1(L)) = bit1(plus_plus(int,K,L)) ). 4.87/4.97 4.87/4.97 fof(conj_0,conjecture, 4.87/4.97 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) ). 4.87/4.97 4.87/4.97 fof(tsy_c_Groups_Ozero__class_Ozero_0_res,axiom, 4.87/4.97 ! [X_a] : 4.87/4.97 ( zero_zero(X_a) = ti(X_a,zero_zero(X_a)) 4.87/4.97 <= ( mult_zero(X_a) 4.87/4.97 & zero_neq_one(X_a) 4.87/4.97 & no_zero_divisors(X_a) 4.87/4.97 & power(X_a) ) ) ). 4.87/4.97 4.87/4.97 fof(arity_Int_Oint___Int_Onumber__ring,axiom, 4.87/4.97 number_ring(int) ). 4.87/4.97 4.87/4.97 fof(fact_42_rel__simps_I51_J,axiom, 4.87/4.97 ! [K_1,L_1] : 4.87/4.97 ( bit1(L_1) = bit1(K_1) 4.87/4.97 <=> L_1 = K_1 ) ). 4.87/4.97 4.87/4.97 fof(arity_Nat_Onat___Power_Opower,axiom, 4.87/4.97 power(nat) ). 4.87/4.97 4.87/4.97 fof(tsy_c_Groups_Ozero__class_Ozero_2_res,axiom, 4.87/4.97 ! [X_a] : 4.87/4.97 ( zero_zero(X_a) = ti(X_a,zero_zero(X_a)) 4.87/4.97 <= ( power(X_a) 4.87/4.97 & semiring_0(X_a) ) ) ). 4.87/4.97 4.87/4.97 fof(arity_Int_Oint___Rings_Olinordered__idom,axiom, 4.87/4.97 linordered_idom(int) ). 4.87/4.97 4.87/4.97 fof(tsy_v_n_____res,hypothesis, 4.87/4.97 ti(nat,n) = n ). 4.87/4.97 4.87/4.97 fof(fact_0_n1pos,axiom, 4.87/4.97 ord_less(int,zero_zero(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))) ). 4.87/4.97 4.87/4.97 fof(tsy_c_Int_OPls_res,hypothesis, 4.87/4.97 ti(int,pls) = pls ). 4.87/4.97 4.87/4.97 fof(tsy_c_Groups_Oplus__class_Oplus_0_arg1,axiom, 4.87/4.97 ! [B_1,B_2,X_a] : 4.87/4.97 ( linord219039673up_add(X_a) 4.87/4.97 => plus_plus(X_a,ti(X_a,B_1),B_2) = plus_plus(X_a,B_1,B_2) ) ). 4.87/4.97 4.87/4.97 fof(fact_30_less__int__code_I16_J,axiom, 4.87/4.97 ! [K1,K2] : 4.87/4.97 ( ord_less(int,K1,K2) 4.87/4.97 <=> ord_less(int,bit1(K1),bit1(K2)) ) ). 4.87/4.97 4.87/4.97 fof(fact_18_less__number__of,axiom, 4.87/4.97 ! [X_a] : 4.87/4.97 ( ! [Xa,Ya] : 4.87/4.97 ( ord_less(int,Xa,Ya) 4.87/4.97 <=> ord_less(X_a,number_number_of(X_a,Xa),number_number_of(X_a,Ya)) ) 4.87/4.97 <= ( number_ring(X_a) 4.87/4.97 & linordered_idom(X_a) ) ) ). 4.87/4.97 4.87/4.97 fof(fact_9_semiring__one__add__one__is__two,axiom, 4.87/4.97 ! [X_a] : 4.87/4.97 ( number_number_of(X_a,bit0(bit1(pls))) = plus_plus(X_a,one_one(X_a),one_one(X_a)) 4.87/4.97 <= number_semiring(X_a) ) ). 4.87/4.97 4.87/4.97 fof(fact_96_power2__less__0,axiom, 4.87/4.97 ! [X_a] : 4.87/4.97 ( linordered_idom(X_a) 4.87/4.97 => ! [A_1] : ~ ord_less(X_a,power_power(X_a,A_1,number_number_of(nat,bit0(bit1(pls)))),zero_zero(X_a)) ) ). 4.87/4.97 4.87/4.97 fof(fact_23_zadd__int,axiom, 4.87/4.97 ! [M,N] : plus_plus(int,semiring_1_of_nat(int,M),semiring_1_of_nat(int,N)) = semiring_1_of_nat(int,plus_plus(nat,M,N)) ). 4.87/4.97 4.87/4.97 fof(fact_7_add__special_I3_J,axiom, 4.87/4.97 ! [X_a] : 4.87/4.97 ( number_ring(X_a) 4.87/4.97 => ! [V] : number_number_of(X_a,plus_plus(int,V,bit1(pls))) = plus_plus(X_a,number_number_of(X_a,V),one_one(X_a)) ) ). 4.87/4.97 4.87/4.97 fof(fact_68_rel__simps_I50_J,axiom, 4.87/4.97 ! [K,L] : bit1(K) != bit0(L) ). 4.87/4.97 4.87/4.97 fof(arity_Int_Oint___Rings_Ozero__neq__one,axiom, 4.87/4.97 zero_neq_one(int) ). 4.87/4.97 4.87/4.97 fof(fact_19_zero__is__num__zero,axiom, 4.87/4.97 zero_zero(int) = number_number_of(int,pls) ). 4.87/4.97 4.87/4.97 fof(fact_5_zero__eq__power2,axiom, 4.87/4.97 ! [X_a] : 4.87/4.97 ( ring_11004092258visors(X_a) 4.87/4.97 => ! [A_2] : 4.87/4.97 ( power_power(X_a,A_2,number_number_of(nat,bit0(bit1(pls)))) = zero_zero(X_a) 4.87/4.97 <=> zero_zero(X_a) = ti(X_a,A_2) ) ) ). 4.87/4.97 4.87/4.97 fof(fact_80_zadd__0,axiom, 4.87/4.97 ! [Z] : plus_plus(int,zero_zero(int),Z) = Z ). 4.87/4.97 4.87/4.97 fof(tsy_c_Int_OBit1_arg1,hypothesis, 4.87/4.97 ! [B_1] : bit1(B_1) = bit1(ti(int,B_1)) ). 4.87/4.97 4.87/4.97 fof(arity_Nat_Onat___Rings_Ono__zero__divisors,axiom, 4.87/4.97 no_zero_divisors(nat) ). 4.87/4.97 4.87/4.97 fof(tsy_c_Nat_Osemiring__1__class_Oof__nat_arg1,axiom, 4.87/4.97 ! [B_1,X_a] : 4.87/4.97 ( number_semiring(X_a) 4.87/4.97 => semiring_1_of_nat(X_a,B_1) = semiring_1_of_nat(X_a,ti(nat,B_1)) ) ). 4.87/4.97 4.87/4.97 fof(arity_Int_Oint___Rings_Osemiring__0,axiom, 4.87/4.97 semiring_0(int) ). 4.87/4.97 4.87/4.97 fof(fact_21_int__power,axiom, 4.87/4.97 ! [M,N] : semiring_1_of_nat(int,power_power(nat,M,N)) = power_power(int,semiring_1_of_nat(int,M),N) ). 4.87/4.97 4.87/4.97 fof(fact_57_bin__less__0__simps_I1_J,axiom, 4.87/4.97 ~ ord_less(int,pls,zero_zero(int)) ). 4.87/4.97 4.87/4.97 fof(arity_Int_Oint___Rings_Omult__zero,axiom, 4.87/4.97 mult_zero(int) ). 4.87/4.97 4.87/4.97 fof(fact_83_semiring__norm_I112_J,axiom, 4.87/4.97 ! [X_a] : 4.87/4.97 ( zero_zero(X_a) = number_number_of(X_a,pls) 4.87/4.97 <= number_ring(X_a) ) ). 4.87/4.97 4.87/4.97 fof(fact_15_zless__linear,axiom, 4.87/4.97 ! [X,Y] : 4.87/4.97 ( ord_less(int,X,Y) 4.87/4.97 | Y = X 4.87/4.97 | ord_less(int,Y,X) ) ). 4.87/4.97 4.87/4.97 fof(fact_55_rel__simps_I4_J,axiom, 4.87/4.97 ! [K_1] : 4.87/4.97 ( ord_less(int,pls,bit0(K_1)) 4.87/4.97 <=> ord_less(int,pls,K_1) ) ). 4.87/4.97 4.87/4.97 fof(fact_24_int__1,axiom, 4.87/4.97 one_one(int) = semiring_1_of_nat(int,one_one(nat)) ). 4.87/4.97 4.87/4.97 fof(fact_64_odd__less__0,axiom, 4.87/4.97 ! [Z_1] : 4.87/4.97 ( ord_less(int,Z_1,zero_zero(int)) 4.87/4.97 <=> ord_less(int,plus_plus(int,plus_plus(int,one_one(int),Z_1),Z_1),zero_zero(int)) ) ). 4.87/4.97 4.87/4.97 fof(fact_4_zero__power2,axiom, 4.87/4.97 ! [X_a] : 4.87/4.97 ( power_power(X_a,zero_zero(X_a),number_number_of(nat,bit0(bit1(pls)))) = zero_zero(X_a) 4.87/4.97 <= semiring_1(X_a) ) ). 4.87/4.97 4.87/4.97 fof(fact_52_less__int__code_I15_J,axiom, 4.87/4.97 ! [K1,K2] : 4.87/4.97 ( ord_less(int,bit1(K1),bit0(K2)) 4.87/4.97 <=> ord_less(int,K1,K2) ) ). 4.87/4.97 4.87/4.97 fof(fact_25_nat__number__of__Pls,axiom, 4.87/4.97 zero_zero(nat) = number_number_of(nat,pls) ). 4.87/4.97 4.87/4.97 fof(fact_72_Bit0__Pls,axiom, 4.87/4.97 bit0(pls) = pls ). 4.87/4.97 4.87/4.97 fof(fact_84_add__numeral__0,axiom, 4.87/4.97 ! [X_a] : 4.87/4.97 ( number_ring(X_a) 4.87/4.97 => ! [A_1] : ti(X_a,A_1) = plus_plus(X_a,number_number_of(X_a,pls),A_1) ) ). 4.87/4.97 4.87/4.97 fof(fact_49_less__special_I3_J,axiom, 4.87/4.97 ! [X_a] : 4.87/4.97 ( ( linordered_idom(X_a) 4.87/4.97 & number_ring(X_a) ) 4.87/4.97 => ! [Xa] : 4.87/4.97 ( ord_less(X_a,number_number_of(X_a,Xa),zero_zero(X_a)) 4.87/4.97 <=> ord_less(int,Xa,pls) ) ) ). 4.87/4.97 4.87/4.97 fof(fact_75_add__Pls__right,axiom, 4.87/4.97 ! [K] : plus_plus(int,K,pls) = K ). 4.87/4.97 4.87/4.97 fof(fact_33_less__int__code_I13_J,axiom, 4.87/4.97 ! [K1,K2] : 4.87/4.97 ( ord_less(int,bit0(K1),bit0(K2)) 4.87/4.97 <=> ord_less(int,K1,K2) ) ). 4.87/4.97 4.87/4.97 fof(fact_65_double__eq__0__iff,axiom, 4.87/4.97 ! [X_a] : 4.87/4.97 ( linord219039673up_add(X_a) 4.87/4.97 => ! [A_2] : 4.87/4.97 ( plus_plus(X_a,A_2,A_2) = zero_zero(X_a) 4.87/4.97 <=> ti(X_a,A_2) = zero_zero(X_a) ) ) ). 4.87/4.97 4.87/4.97 fof(tsy_c_Groups_Oplus__class_Oplus_1_arg1,axiom, 4.87/4.97 ! [B_1,B_2,X_a] : 4.87/4.97 ( number_semiring(X_a) 4.87/4.97 => plus_plus(X_a,B_1,B_2) = plus_plus(X_a,ti(X_a,B_1),B_2) ) ). 4.87/4.97 4.87/4.97 fof(fact_6_add__special_I2_J,axiom, 4.87/4.97 ! [X_a] : 4.87/4.97 ( number_ring(X_a) 4.87/4.97 => ! [W] : plus_plus(X_a,one_one(X_a),number_number_of(X_a,W)) = number_number_of(X_a,plus_plus(int,bit1(pls),W)) ) ). 4.87/4.97 4.87/4.97 fof(arity_Int_Oint___Rings_Osemiring__1,axiom, 4.87/4.97 semiring_1(int) ). 4.87/4.97 4.87/4.97 fof(fact_40_eq__number__of,axiom, 4.87/4.97 ! [X_a] : 4.87/4.97 ( ( number_ring(X_a) 4.87/4.97 & ring_char_0(X_a) ) 4.87/4.97 => ! [Xa,Ya] : 4.87/4.97 ( number_number_of(X_a,Xa) = number_number_of(X_a,Ya) 4.87/4.97 <=> Xa = Ya ) ) ). 4.87/4.97 4.87/4.97 fof(arity_Int_Oint___Int_Oring__char__0,axiom, 4.87/4.97 ring_char_0(int) ). 4.87/4.97 4.87/4.97 fof(fact_16_less__number__of__int__code,axiom, 4.87/4.97 ! [K_1,L_1] : 4.87/4.97 ( ord_less(int,K_1,L_1) 4.87/4.97 <=> ord_less(int,number_number_of(int,K_1),number_number_of(int,L_1)) ) ). 4.87/4.97 4.87/4.97 fof(fact_12_semiring__norm_I110_J,axiom, 4.87/4.97 ! [X_a] : 4.87/4.97 ( number_ring(X_a) 4.87/4.97 => number_number_of(X_a,bit1(pls)) = one_one(X_a) ) ). 4.87/4.97 4.87/4.97 fof(tsy_c_Int_Onumber__class_Onumber__of_arg1,axiom, 4.87/4.97 ! [B_1,X_a] : 4.87/4.97 ( number(X_a) 4.87/4.97 => number_number_of(X_a,B_1) = number_number_of(X_a,ti(int,B_1)) ) ). 4.87/4.97 4.87/4.97 fof(arity_Int_Oint___Int_Onumber__semiring,axiom, 4.87/4.97 number_semiring(int) ). 4.87/4.97 4.87/4.97 fof(fact_26_semiring__norm_I113_J,axiom, 4.87/4.97 number_number_of(nat,pls) = zero_zero(nat) ). 4.87/4.97 4.87/4.97 fof(arity_Nat_Onat___Rings_Osemiring__1,axiom, 4.87/4.97 semiring_1(nat) ). 4.87/4.97 4.87/4.97 fof(tsy_c_Groups_Ozero__class_Ozero_1_res,axiom, 4.87/4.97 ! [X_a] : 4.87/4.97 ( ti(X_a,zero_zero(X_a)) = zero_zero(X_a) 4.87/4.97 <= linord219039673up_add(X_a) ) ). 4.87/4.97 4.87/4.97 fof(tsy_c_Groups_Oplus__class_Oplus_0_arg2,axiom, 4.87/4.97 ! [B_1,B_2,X_a] : 4.87/4.97 ( plus_plus(X_a,B_1,B_2) = plus_plus(X_a,B_1,ti(X_a,B_2)) 4.87/4.97 <= linord219039673up_add(X_a) ) ). 4.87/4.97 4.87/4.97 fof(tsy_c_Groups_Oplus__class_Oplus_1_arg2,axiom, 4.87/4.97 ! [B_1,B_2,X_a] : 4.87/4.97 ( plus_plus(X_a,B_1,B_2) = plus_plus(X_a,B_1,ti(X_a,B_2)) 4.87/4.97 <= number_semiring(X_a) ) ). 4.87/4.97 4.87/4.97 fof(tsy_c_Power_Opower__class_Opower_0_arg2,axiom, 4.87/4.97 ! [B_1,B_2,X_a] : 4.87/4.97 ( power_power(X_a,B_1,B_2) = power_power(X_a,B_1,ti(nat,B_2)) 4.87/4.97 <= ( zero_neq_one(X_a) 4.87/4.97 & no_zero_divisors(X_a) 4.87/4.97 & mult_zero(X_a) 4.87/4.97 & power(X_a) ) ) ). 4.87/4.97 4.87/4.97 %------------------------------------------- 4.87/4.97 % Proof found 4.87/4.97 % SZS status Theorem for theBenchmark 4.87/4.97 % SZS output start Proof 4.87/4.97 %ClaNum:224(EqnAxiom:34) 4.87/4.97 %VarNum:791(SingletonVarNum:261) 4.87/4.97 %MaxLitNum:7 4.87/4.97 %MaxfuncDepth:7 4.87/4.97 %SharedTerms:70 4.87/4.97 %goalClause: 95 4.87/4.97 %singleGoalClaCount:1 4.87/4.97 [36]P1(a4) 4.87/4.97 [37]P1(a1) 4.87/4.97 [38]P10(a4) 4.87/4.97 [39]P10(a1) 4.87/4.97 [40]P2(a4) 4.87/4.97 [41]P2(a1) 4.87/4.97 [42]P3(a1) 4.87/4.97 [43]P5(a4) 4.87/4.97 [44]P5(a1) 4.87/4.97 [45]P6(a1) 4.87/4.97 [46]P11(a1) 4.87/4.97 [47]P7(a4) 4.87/4.97 [48]P7(a1) 4.87/4.97 [49]P8(a4) 4.87/4.97 [50]P8(a1) 4.87/4.97 [51]P4(a1) 4.87/4.97 [52]P13(a4) 4.87/4.97 [53]P13(a1) 4.87/4.97 [54]P14(a4) 4.87/4.97 [55]P14(a1) 4.87/4.97 [56]P12(a1) 4.87/4.97 [98]~P9(a1,a3,a3) 4.87/4.97 [35]E(f2(a1),a3) 4.87/4.97 [57]E(f8(a4,a5),a5) 4.87/4.97 [58]E(f8(a1,a3),a3) 4.87/4.97 [59]E(f8(a1,a9),a9) 4.87/4.97 [61]E(f6(a1,a3),f2(a1)) 4.87/4.97 [62]E(f6(a4,a3),f2(a4)) 4.87/4.97 [70]P9(a4,f2(a4),a5) 4.87/4.97 [71]P9(a1,f7(a1),a9) 4.87/4.97 [74]P9(a1,f2(a1),f7(a1)) 4.87/4.97 [97]~E(f2(a1),f7(a1)) 4.87/4.97 [99]~P9(a1,a3,f2(a1)) 4.87/4.97 [63]E(f10(a1,f7(a4)),f7(a1)) 4.87/4.97 [64]E(f10(a1,f2(a4)),f2(a1)) 4.87/4.97 [80]P9(a1,f2(a1),f11(a1,f7(a1),f10(a1,a5))) 4.87/4.97 [86]E(f6(a1,f11(a1,f11(a1,f7(a1),a3),a3)),f7(a1)) 4.87/4.97 [87]E(f6(a4,f11(a1,f11(a1,f7(a1),a3),a3)),f7(a4)) 4.87/4.97 [94]E(f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3))),f11(a4,f7(a4),f7(a4))) 4.87/4.97 [95]E(f12(a1,f11(a1,f7(a1),f10(a1,a5)),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),f2(a1)) 4.87/4.97 [67]E(f11(a1,a3,x671),x671) 4.87/4.97 [68]E(f11(a1,x681,a3),x681) 4.87/4.97 [100]~P9(a1,f10(a1,x1001),f2(a1)) 4.87/4.97 [65]E(f8(x651,f13(x651)),f13(x651)) 4.87/4.97 [72]E(f11(a1,x721,f2(a1)),x721) 4.87/4.97 [73]E(f11(a1,f2(a1),x731),x731) 4.87/4.97 [76]E(f11(a1,f8(a1,x761),f8(a1,x761)),f11(a1,x761,x761)) 4.87/4.97 [77]E(f8(a1,f11(a1,x771,x771)),f11(a1,x771,x771)) 4.87/4.97 [88]E(f11(a1,f11(a1,f7(a1),f8(a1,x881)),f8(a1,x881)),f11(a1,f11(a1,f7(a1),x881),x881)) 4.87/4.97 [102]~E(f11(a1,f11(a1,f7(a1),x1021),x1021),a3) 4.87/4.97 [103]~E(f11(a1,f11(a1,f7(a1),x1031),x1031),f2(a1)) 4.87/4.97 [89]E(f8(a1,f11(a1,f11(a1,f7(a1),x891),x891)),f11(a1,f11(a1,f7(a1),x891),x891)) 4.87/4.97 [96]E(f12(a1,f12(a1,x961,f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),f12(a1,x961,f6(a4,f11(a1,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)),f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))))) 4.87/4.97 [75]E(f11(a1,x751,x752),f11(a1,x752,x751)) 4.87/4.97 [69]E(f8(x691,f8(x691,x692)),f8(x691,x692)) 4.87/4.97 [79]E(f12(a1,f10(a1,x791),x792),f10(a1,f12(a4,x791,x792))) 4.87/4.97 [81]E(f11(a1,f6(a1,x811),f6(a1,x812)),f6(a1,f11(a1,x811,x812))) 4.87/4.97 [82]E(f11(a1,f10(a1,x821),f10(a1,x822)),f10(a1,f11(a4,x821,x822))) 4.87/4.97 [91]E(f11(a1,f11(a1,x911,x911),f11(a1,x912,x912)),f11(a1,f11(a1,x911,x912),f11(a1,x911,x912))) 4.87/4.97 [93]E(f11(a1,f11(a1,f7(a1),f11(a1,x931,x932)),f11(a1,x931,x932)),f11(a1,f11(a1,f11(a1,f7(a1),x931),x931),f11(a1,x932,x932))) 4.87/4.97 [105]~E(f11(a1,f11(a1,f7(a1),x1051),x1051),f11(a1,x1052,x1052)) 4.87/4.97 [92]E(f11(a1,f11(a1,x921,x921),f11(a1,f11(a1,f7(a1),x922),x922)),f11(a1,f11(a1,f7(a1),f11(a1,x921,x922)),f11(a1,x921,x922))) 4.87/4.97 [83]E(f11(a1,x831,f11(a1,x832,x833)),f11(a1,x832,f11(a1,x831,x833))) 4.87/4.97 [84]E(f11(a1,f11(a1,x841,x842),x843),f11(a1,x841,f11(a1,x842,x843))) 4.87/4.97 [90]E(f11(a1,f10(a1,x901),f11(a1,f10(a1,x902),x903)),f11(a1,f10(a1,f11(a4,x901,x902)),x903)) 4.87/4.97 [106]~E(f2(a4),x1061)+E(f10(a1,x1061),f2(a1)) 4.87/4.97 [108]~P5(x1081)+E(f6(x1081,a3),f2(x1081)) 4.87/4.97 [109]~P6(x1091)+E(f6(x1091,a3),f2(x1091)) 4.87/4.97 [110]E(f2(a4),x1101)+~E(f10(a1,x1101),f2(a1)) 4.87/4.97 [116]~E(x1161,a3)+E(f11(a1,x1161,x1161),a3) 4.87/4.97 [117]~E(a3,x1171)+E(f11(a1,x1171,x1171),a3) 4.87/4.97 [124]E(x1241,a3)+~E(f11(a1,x1241,x1241),a3) 4.87/4.97 [125]E(a3,x1251)+~E(f11(a1,x1251,x1251),a3) 4.87/4.97 [169]~P9(a1,a3,x1691)+P9(a1,a3,f11(a1,x1691,x1691)) 4.87/4.97 [170]~P9(a1,x1701,a3)+P9(a1,f11(a1,x1701,x1701),a3) 4.87/4.97 [173]~P9(a1,x1731,f2(a1))+P9(a1,f11(a1,x1731,x1731),f2(a1)) 4.87/4.97 [175]P9(a1,x1751,a3)+~P9(a1,f11(a1,x1751,x1751),a3) 4.87/4.97 [176]P9(a1,a3,x1761)+~P9(a1,a3,f11(a1,x1761,x1761)) 4.87/4.97 [177]P9(a1,x1771,f2(a1))+~P9(a1,f11(a1,x1771,x1771),f2(a1)) 4.87/4.97 [111]~P4(x1111)+E(f8(x1111,f2(x1111)),f2(x1111)) 4.87/4.97 [186]~P9(a1,x1861,a3)+P9(a1,f11(a1,f11(a1,f7(a1),x1861),x1861),a3) 4.87/4.97 [190]~P9(a1,x1901,f2(a1))+P9(a1,f11(a1,f11(a1,f7(a1),x1901),x1901),f2(a1)) 4.87/4.97 [197]P9(a1,x1971,a3)+~P9(a1,f11(a1,f11(a1,f7(a1),x1971),x1971),a3) 4.87/4.97 [199]P9(a1,x1991,f2(a1))+~P9(a1,f11(a1,f11(a1,f7(a1),x1991),x1991),f2(a1)) 4.87/4.97 [182]~P6(x1821)+E(f6(x1821,f11(a1,f11(a1,f7(a1),a3),a3)),f7(x1821)) 4.87/4.97 [210]~P5(x2101)+E(f6(x2101,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3))),f11(x2101,f7(x2101),f7(x2101))) 4.87/4.97 [211]~P6(x2111)+E(f6(x2111,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3))),f11(x2111,f7(x2111),f7(x2111))) 4.87/4.97 [212]~P14(x2121)+E(f12(x2121,f2(x2121),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),f2(x2121)) 4.87/4.97 [213]~P14(x2131)+E(f12(x2131,f7(x2131),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),f7(x2131)) 4.87/4.97 [114]E(x1141,x1142)+~E(f10(a1,x1141),f10(a1,x1142)) 4.87/4.97 [140]~P9(a4,x1401,x1402)+P9(a4,x1401,f8(a4,x1402)) 4.87/4.97 [141]~P9(a4,x1411,x1412)+P9(a4,f8(a4,x1411),x1412) 4.87/4.97 [145]E(x1451,x1452)+~E(f11(a1,x1451,x1451),f11(a1,x1452,x1452)) 4.87/4.97 [146]P9(a4,x1461,x1462)+~P9(a4,x1461,f8(a4,x1462)) 4.87/4.97 [147]P9(a4,x1471,x1472)+~P9(a4,f8(a4,x1471),x1472) 4.87/4.97 [156]~P9(a1,x1561,x1562)+P9(a1,f6(a1,x1561),f6(a1,x1562)) 4.87/4.97 [165]P9(a1,x1651,x1652)+~P9(a1,f6(a1,x1651),f6(a1,x1652)) 4.87/4.97 [185]~P9(a1,x1851,x1852)+P9(a1,f11(a1,x1851,x1851),f11(a1,x1852,x1852)) 4.87/4.97 [188]P9(a1,x1881,x1882)+~P9(a1,f11(a1,x1881,x1881),f11(a1,x1882,x1882)) 4.87/4.97 [118]~P5(x1181)+E(f10(x1181,f8(a4,x1182)),f10(x1181,x1182)) 4.87/4.97 [119]~P7(x1191)+E(f6(x1191,f8(a1,x1192)),f6(x1191,x1192)) 4.87/4.98 [120]~P5(x1201)+E(f6(x1201,f10(a1,x1202)),f10(x1201,x1202)) 4.87/4.98 [122]~P5(x1221)+E(f8(x1221,f10(x1221,x1222)),f10(x1221,x1222)) 4.87/4.98 [123]~P7(x1231)+E(f8(x1231,f6(x1231,x1232)),f6(x1231,x1232)) 4.87/4.98 [127]~P6(x1271)+E(f11(x1271,x1272,f6(x1271,a3)),f8(x1271,x1272)) 4.87/4.98 [128]~P6(x1281)+E(f11(x1281,f6(x1281,a3),x1282),f8(x1281,x1282)) 4.87/4.98 [144]~E(x1441,x1442)+P9(a1,x1441,f11(a1,x1442,f7(a1))) 4.87/4.98 [160]~P9(a1,x1601,a3)+E(f11(a4,f6(a4,x1601),f6(a4,x1602)),f6(a4,x1602)) 4.87/4.98 [172]~P9(a1,x1721,x1722)+P9(a1,x1721,f11(a1,x1722,f7(a1))) 4.87/4.98 [191]E(x1911,x1912)+~E(f11(a1,f11(a1,f7(a1),x1911),x1911),f11(a1,f11(a1,f7(a1),x1912),x1912)) 4.87/4.98 [196]~P9(a1,x1961,x1962)+P9(a1,f11(a1,f11(a1,f7(a1),x1961),x1961),f11(a1,x1962,x1962)) 4.87/4.98 [203]~P9(a1,x2031,x2032)+P9(a1,f11(a1,f11(a1,f7(a1),x2031),x2031),f11(a1,f11(a1,f7(a1),x2032),x2032)) 4.87/4.98 [205]P9(a1,x2051,x2052)+~P9(a1,f11(a1,f11(a1,f7(a1),x2051),x2051),f11(a1,x2052,x2052)) 4.87/4.98 [209]P9(a1,x2091,x2092)+~P9(a1,f11(a1,f11(a1,f7(a1),x2091),x2091),f11(a1,f11(a1,f7(a1),x2092),x2092)) 4.87/4.98 [206]~P6(x2061)+E(f11(x2061,f7(x2061),f6(x2061,x2062)),f6(x2061,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),x2062))) 4.87/4.98 [207]~P6(x2071)+E(f6(x2071,f11(a1,x2072,f11(a1,f11(a1,f7(a1),a3),a3))),f11(x2071,f6(x2071,x2072),f7(x2071))) 4.87/4.98 [217]~P3(x2171)+~P9(x2171,f12(x2171,x2172,f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),f2(x2171)) 4.87/4.98 [183]~P9(a1,x1831,x1833)+P9(a1,f11(a1,x1831,x1832),f11(a1,x1833,x1832)) 4.87/4.98 [133]~P5(x1331)+E(f11(x1331,x1332,f8(x1331,x1333)),f11(x1331,x1332,x1333)) 4.87/4.98 [134]~P4(x1341)+E(f11(x1341,x1342,f8(x1341,x1343)),f11(x1341,x1342,x1343)) 4.87/4.98 [135]~P5(x1351)+E(f11(x1351,f8(x1351,x1352),x1353),f11(x1351,x1352,x1353)) 4.87/4.98 [136]~P4(x1361)+E(f11(x1361,f8(x1361,x1362),x1363),f11(x1361,x1362,x1363)) 4.87/4.98 [152]~P5(x1521)+E(f8(x1521,f11(x1521,x1522,x1523)),f11(x1521,x1522,x1523)) 4.87/4.98 [153]~P4(x1531)+E(f8(x1531,f11(x1531,x1532,x1533)),f11(x1531,x1532,x1533)) 4.87/4.98 [167]~P6(x1671)+E(f11(x1671,f6(x1671,x1672),f6(x1671,x1673)),f6(x1671,f11(a1,x1672,x1673))) 4.87/4.98 [194]~P6(x1941)+E(f11(x1941,f6(x1941,x1942),f11(x1941,f6(x1941,x1943),x1944)),f11(x1941,f6(x1941,f11(a1,x1942,x1943)),x1944)) 4.87/4.98 [112]~P1(x1121)+~P10(x1121)+E(f8(x1121,f2(x1121)),f2(x1121)) 4.87/4.98 [113]~P1(x1131)+~P10(x1131)+E(f8(x1131,f7(x1131)),f7(x1131)) 4.87/4.98 [129]E(x1291,x1292)+P9(a1,x1292,x1291)+P9(a1,x1291,x1292) 4.87/4.98 [126]~P4(x1261)+~E(f8(x1261,x1262),f2(x1261))+E(f11(x1261,x1262,x1262),f2(x1261)) 4.87/4.98 [131]~P4(x1311)+~E(f11(x1311,x1312,x1312),f2(x1311))+E(f8(x1311,x1312),f2(x1311)) 4.87/4.98 [174]~P3(x1741)+~P9(x1741,x1742,f2(x1741))+P9(x1741,f11(x1741,x1742,x1742),f2(x1741)) 4.87/4.98 [180]~P3(x1801)+~P9(x1801,f11(x1801,x1802,x1802),f2(x1801))+P9(x1801,x1802,f2(x1801)) 4.87/4.98 [171]P9(a1,x1711,a3)+~P9(a1,x1712,a3)+E(f11(a4,f6(a4,x1711),f6(a4,x1712)),f6(a4,x1711)) 4.87/4.98 [178]E(x1781,x1782)+P9(a1,x1781,x1782)+~P9(a1,x1781,f11(a1,x1782,f7(a1))) 4.87/4.98 [179]P9(a1,x1791,a3)+P9(a1,x1792,a3)+E(f11(a4,f6(a4,x1791),f6(a4,x1792)),f6(a4,f11(a1,x1791,x1792))) 4.99/4.98 [214]~P11(x2141)+~E(f8(x2141,x2142),f2(x2141))+E(f12(x2141,x2142,f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),f2(x2141)) 4.99/4.98 [215]~P11(x2151)+E(f8(x2151,x2152),f2(x2151))+~E(f12(x2151,x2152,f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),f2(x2151)) 4.99/4.98 [216]~P3(x2161)+E(f8(x2161,x2162),f2(x2161))+P9(x2161,f2(x2161),f12(x2161,x2162,f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3))))) 4.99/4.98 [218]~P3(x2181)+~E(f8(x2181,x2182),f2(x2181))+~P9(x2181,f2(x2181),f12(x2181,x2182,f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3))))) 4.99/4.98 [148]~P3(x1481)+~P9(x1481,x1482,x1483)+P9(x1481,x1482,f8(x1481,x1483)) 4.99/4.98 [149]~P3(x1491)+~P9(x1491,x1492,x1493)+P9(x1491,f8(x1491,x1492),x1493) 4.99/4.98 [157]~P3(x1571)+P9(x1571,x1572,x1573)+~P9(x1571,x1572,f8(x1571,x1573)) 4.99/4.98 [158]~P3(x1581)+P9(x1581,x1582,x1583)+~P9(x1581,f8(x1581,x1582),x1583) 4.99/4.98 [137]~P1(x1371)+~P10(x1371)+E(f12(x1371,x1372,f8(a4,x1373)),f12(x1371,x1372,x1373)) 4.99/4.98 [138]~P1(x1381)+~P10(x1381)+E(f12(x1381,f8(x1381,x1382),x1383),f12(x1381,x1382,x1383)) 4.99/4.98 [159]~P1(x1591)+~P10(x1591)+E(f8(x1591,f12(x1591,x1592,x1593)),f12(x1591,x1592,x1593)) 4.99/4.98 [220]~P3(x2201)+E(f8(x2201,x2202),f2(x2201))+~E(f11(x2201,f12(x2201,x2203,f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),f12(x2201,x2202,f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3))))),f2(x2201)) 4.99/4.98 [221]~P3(x2211)+E(f8(x2211,x2212),f2(x2211))+~E(f11(x2211,f12(x2211,x2212,f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),f12(x2211,x2213,f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3))))),f2(x2211)) 4.99/4.98 [222]~P3(x2221)+E(f8(x2221,x2222),f2(x2221))+P9(x2221,f2(x2221),f11(x2221,f12(x2221,x2223,f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),f12(x2221,x2222,f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))))) 4.99/4.98 [223]~P3(x2231)+E(f8(x2231,x2232),f2(x2231))+P9(x2231,f2(x2231),f11(x2231,f12(x2231,x2232,f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),f12(x2231,x2233,f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))))) 4.99/4.98 [154]~P3(x1541)+~P6(x1541)+P9(x1541,f2(x1541),f6(x1541,x1542))+~P9(a1,a3,x1542) 4.99/4.98 [155]~P3(x1551)+~P6(x1551)+P9(x1551,f6(x1551,x1552),f2(x1551))+~P9(a1,x1552,a3) 4.99/4.98 [161]~P6(x1612)+~P3(x1612)+~P9(x1612,f6(x1612,x1611),f2(x1612))+P9(a1,x1611,a3) 4.99/4.98 [162]~P6(x1622)+~P3(x1622)+~P9(x1622,f2(x1622),f6(x1622,x1621))+P9(a1,a3,x1621) 4.99/4.98 [130]~P1(x1302)+~P10(x1302)+E(f6(a4,x1301),f2(a4))+E(f12(x1302,f2(x1302),f6(a4,x1301)),f2(x1302)) 4.99/4.98 [132]~P1(x1321)+~P10(x1321)+~E(f6(a4,x1322),f2(a4))+E(f12(x1321,f2(x1321),f6(a4,x1322)),f7(x1321)) 4.99/4.98 [192]~P6(x1922)+~P3(x1922)+~P9(x1922,f6(x1922,x1921),f7(x1922))+P9(a1,x1921,f11(a1,f11(a1,f7(a1),a3),a3)) 4.99/4.98 [193]~P6(x1932)+~P3(x1932)+~P9(x1932,f7(x1932),f6(x1932,x1931))+P9(a1,f11(a1,f11(a1,f7(a1),a3),a3),x1931) 4.99/4.98 [200]~P3(x2001)+~P6(x2001)+P9(x2001,f7(x2001),f6(x2001,x2002))+~P9(a1,f11(a1,f11(a1,f7(a1),a3),a3),x2002) 4.99/4.98 [201]~P3(x2011)+~P6(x2011)+P9(x2011,f6(x2011,x2012),f7(x2011))+~P9(a1,x2012,f11(a1,f11(a1,f7(a1),a3),a3)) 4.99/4.98 [121]~P6(x1213)+~P12(x1213)+E(x1211,x1212)+~E(f6(x1213,x1211),f6(x1213,x1212)) 4.99/4.98 [164]~P3(x1641)+~P6(x1641)+~P9(a1,x1642,x1643)+P9(x1641,f6(x1641,x1642),f6(x1641,x1643)) 4.99/4.98 [168]~P6(x1683)+~P3(x1683)+~P9(x1683,f6(x1683,x1681),f6(x1683,x1682))+P9(a1,x1681,x1682) 4.99/4.98 [219]~P3(x2191)+~E(f8(x2191,x2193),f2(x2191))+~E(f8(x2191,x2192),f2(x2191))+E(f11(x2191,f12(x2191,x2192,f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),f12(x2191,x2193,f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3))))),f2(x2191)) 4.99/4.98 [224]~P3(x2241)+~E(f8(x2241,x2242),f2(x2241))+~E(f8(x2241,x2243),f2(x2241))+~P9(x2241,f2(x2241),f11(x2241,f12(x2241,x2243,f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),f12(x2241,x2242,f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))))) 4.99/4.98 [115]~P1(x1151)+~P2(x1151)+~P8(x1151)+~P13(x1151)+E(f8(x1151,f2(x1151)),f2(x1151)) 4.99/4.98 [142]~P1(x1421)+~P2(x1421)+~P8(x1421)+~P13(x1421)+E(f12(x1421,x1422,f8(a4,x1423)),f12(x1421,x1422,x1423)) 4.99/4.98 [143]~P1(x1431)+~P2(x1431)+~P8(x1431)+~P13(x1431)+E(f12(x1431,f8(x1431,x1432),x1433),f12(x1431,x1432,x1433)) 4.99/4.98 [163]~P1(x1631)+~P2(x1631)+~P8(x1631)+~P13(x1631)+E(f8(x1631,f12(x1631,x1632,x1633)),f12(x1631,x1632,x1633)) 4.99/4.98 [150]~P1(x1501)+~P2(x1501)+~P8(x1501)+~P13(x1501)+E(f8(x1501,x1502),f2(x1501))+~E(f12(x1501,x1502,f6(a4,x1503)),f2(x1501)) 4.99/4.98 [151]~P1(x1512)+~P2(x1512)+~P8(x1512)+~P13(x1512)+~E(f6(a4,x1511),f2(a4))+~E(f12(x1512,x1513,f6(a4,x1511)),f2(x1512)) 4.99/4.98 [139]~P1(x1392)+~P2(x1392)+~P8(x1392)+~P13(x1392)+~E(f8(x1392,x1393),f2(x1392))+E(f6(a4,x1391),f2(a4))+E(f12(x1392,x1393,f6(a4,x1391)),f2(x1392)) 4.99/4.98 %EqnAxiom 4.99/4.98 [1]E(x11,x11) 4.99/4.98 [2]E(x22,x21)+~E(x21,x22) 4.99/4.98 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) 4.99/4.98 [4]~E(x41,x42)+E(f2(x41),f2(x42)) 4.99/4.98 [5]~E(x51,x52)+E(f8(x51,x53),f8(x52,x53)) 4.99/4.98 [6]~E(x61,x62)+E(f8(x63,x61),f8(x63,x62)) 4.99/4.98 [7]~E(x71,x72)+E(f7(x71),f7(x72)) 4.99/4.98 [8]~E(x81,x82)+E(f11(x81,x83,x84),f11(x82,x83,x84)) 4.99/4.98 [9]~E(x91,x92)+E(f11(x93,x91,x94),f11(x93,x92,x94)) 4.99/4.98 [10]~E(x101,x102)+E(f11(x103,x104,x101),f11(x103,x104,x102)) 4.99/4.98 [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113)) 4.99/4.98 [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122)) 4.99/4.98 [13]~E(x131,x132)+E(f12(x131,x133,x134),f12(x132,x133,x134)) 4.99/4.98 [14]~E(x141,x142)+E(f12(x143,x141,x144),f12(x143,x142,x144)) 4.99/4.98 [15]~E(x151,x152)+E(f12(x153,x154,x151),f12(x153,x154,x152)) 4.99/4.98 [16]~E(x161,x162)+E(f10(x161,x163),f10(x162,x163)) 4.99/4.98 [17]~E(x171,x172)+E(f10(x173,x171),f10(x173,x172)) 4.99/4.98 [18]~E(x181,x182)+E(f13(x181),f13(x182)) 4.99/4.98 [19]~P1(x191)+P1(x192)+~E(x191,x192) 4.99/4.98 [20]P9(x202,x203,x204)+~E(x201,x202)+~P9(x201,x203,x204) 4.99/4.98 [21]P9(x213,x212,x214)+~E(x211,x212)+~P9(x213,x211,x214) 4.99/4.98 [22]P9(x223,x224,x222)+~E(x221,x222)+~P9(x223,x224,x221) 4.99/4.98 [23]~P10(x231)+P10(x232)+~E(x231,x232) 4.99/4.98 [24]~P3(x241)+P3(x242)+~E(x241,x242) 4.99/4.98 [25]~P2(x251)+P2(x252)+~E(x251,x252) 4.99/4.98 [26]~P6(x261)+P6(x262)+~E(x261,x262) 4.99/4.98 [27]~P13(x271)+P13(x272)+~E(x271,x272) 4.99/4.98 [28]~P5(x281)+P5(x282)+~E(x281,x282) 4.99/4.98 [29]~P12(x291)+P12(x292)+~E(x291,x292) 4.99/4.98 [30]~P8(x301)+P8(x302)+~E(x301,x302) 4.99/4.98 [31]~P11(x311)+P11(x312)+~E(x311,x312) 4.99/4.98 [32]~P7(x321)+P7(x322)+~E(x321,x322) 4.99/4.98 [33]~P4(x331)+P4(x332)+~E(x331,x332) 4.99/4.98 [34]~P14(x341)+P14(x342)+~E(x341,x342) 4.99/4.98 4.99/4.98 %------------------------------------------- 4.99/4.98 cnf(225,plain, 4.99/4.98 (~E(x2251,f11(a1,f7(a1),x2251))), 4.99/4.98 inference(scs_inference,[],[105,10])). 4.99/4.98 cnf(226,plain, 4.99/4.98 (~E(f11(a1,f11(a1,f7(a1),x2261),x2261),f11(a1,x2262,x2262))), 4.99/4.98 inference(rename_variables,[],[105])). 4.99/4.98 cnf(227,plain, 4.99/4.98 (~E(f11(a1,f7(a1),x2271),x2271)), 4.99/4.98 inference(scs_inference,[],[105,226,10,9])). 4.99/4.98 cnf(228,plain, 4.99/4.98 (~E(f11(a1,f11(a1,f7(a1),x2281),x2281),f11(a1,x2282,x2282))), 4.99/4.98 inference(rename_variables,[],[105])). 4.99/4.98 cnf(229,plain, 4.99/4.98 (E(f2(a1),f12(a1,f11(a1,f7(a1),f10(a1,a5)),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))))), 4.99/4.98 inference(scs_inference,[],[95,105,226,10,9,2])). 4.99/4.98 cnf(230,plain, 4.99/4.98 (E(f8(a1,x2301),x2301)), 4.99/4.98 inference(scs_inference,[],[95,105,226,88,10,9,2,191])). 4.99/4.98 cnf(232,plain, 4.99/4.98 (P9(a1,f2(a1),f11(a1,f10(a1,a5),f7(a1)))), 4.99/4.98 inference(scs_inference,[],[95,75,80,105,226,88,10,9,2,191,22])). 4.99/4.98 cnf(234,plain, 4.99/4.98 (P9(a1,a3,f7(a1))), 4.99/4.98 inference(scs_inference,[],[95,75,74,35,80,105,226,88,10,9,2,191,22,21])). 4.99/4.98 cnf(235,plain, 4.99/4.98 (~E(f11(a1,f11(a1,f7(a1),x2351),x2351),f12(a1,f11(a1,f7(a1),f10(a1,a5)),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))))), 4.99/4.98 inference(scs_inference,[],[95,75,74,35,80,105,226,88,103,10,9,2,191,22,21,3])). 4.99/4.98 cnf(236,plain, 4.99/4.98 (E(f8(a1,f11(a1,f7(a1),f10(a1,a5))),f2(a1))), 4.99/4.98 inference(scs_inference,[],[95,46,75,74,35,80,105,226,88,103,10,9,2,191,22,21,3,215])). 4.99/4.98 cnf(238,plain, 4.99/4.98 (~P9(a1,f11(a1,f10(a1,x2381),f10(a1,x2381)),f2(a1))), 4.99/4.98 inference(scs_inference,[],[95,42,46,75,100,74,35,80,105,226,88,103,10,9,2,191,22,21,3,215,180])). 4.99/4.98 cnf(240,plain, 4.99/4.98 (~P9(a1,f6(a1,a3),f6(a1,a3))), 4.99/4.98 inference(scs_inference,[],[95,42,45,46,98,75,100,74,35,80,105,226,88,103,10,9,2,191,22,21,3,215,180,168])). 4.99/4.98 cnf(242,plain, 4.99/4.98 (~P9(a1,f2(a1),f6(a1,a3))), 4.99/4.98 inference(scs_inference,[],[95,42,45,46,98,75,100,74,35,80,105,226,88,103,10,9,2,191,22,21,3,215,180,168,162])). 4.99/4.98 cnf(244,plain, 4.99/4.98 (~P9(a1,f6(a1,a3),f2(a1))), 4.99/4.98 inference(scs_inference,[],[95,42,45,46,98,75,100,74,35,80,105,226,88,103,10,9,2,191,22,21,3,215,180,168,162,161])). 4.99/4.98 cnf(246,plain, 4.99/4.98 (P9(a1,f2(a1),f6(a1,f7(a1)))), 4.99/4.98 inference(scs_inference,[],[95,42,45,46,98,75,100,74,35,80,105,226,88,103,10,9,2,191,22,21,3,215,180,168,162,161,154])). 4.99/4.98 cnf(248,plain, 4.99/4.98 (~E(f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3))),f2(a4))), 4.99/4.98 inference(scs_inference,[],[95,37,41,42,45,46,50,53,98,75,100,74,35,80,105,226,88,103,10,9,2,191,22,21,3,215,180,168,162,161,154,151])). 4.99/4.98 cnf(250,plain, 4.99/4.98 (E(f13(f12(a1,f11(a1,f7(a1),f10(a1,a5)),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3))))),f13(f2(a1)))), 4.99/4.98 inference(scs_inference,[],[95,37,41,42,45,46,50,53,98,75,100,74,35,80,105,226,88,103,10,9,2,191,22,21,3,215,180,168,162,161,154,151,18])). 4.99/4.98 cnf(251,plain, 4.99/4.98 (E(f10(x2511,f12(a1,f11(a1,f7(a1),f10(a1,a5)),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3))))),f10(x2511,f2(a1)))), 4.99/4.98 inference(scs_inference,[],[95,37,41,42,45,46,50,53,98,75,100,74,35,80,105,226,88,103,10,9,2,191,22,21,3,215,180,168,162,161,154,151,18,17])). 4.99/4.98 cnf(252,plain, 4.99/4.98 (E(f10(f12(a1,f11(a1,f7(a1),f10(a1,a5)),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),x2521),f10(f2(a1),x2521))), 4.99/4.98 inference(scs_inference,[],[95,37,41,42,45,46,50,53,98,75,100,74,35,80,105,226,88,103,10,9,2,191,22,21,3,215,180,168,162,161,154,151,18,17,16])). 4.99/4.98 cnf(253,plain, 4.99/4.98 (E(f12(x2531,x2532,f12(a1,f11(a1,f7(a1),f10(a1,a5)),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3))))),f12(x2531,x2532,f2(a1)))), 4.99/4.98 inference(scs_inference,[],[95,37,41,42,45,46,50,53,98,75,100,74,35,80,105,226,88,103,10,9,2,191,22,21,3,215,180,168,162,161,154,151,18,17,16,15])). 4.99/4.98 cnf(263,plain, 4.99/4.98 (~P9(a1,f12(a1,x2631,f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),f2(a1))), 4.99/4.98 inference(scs_inference,[],[95,37,41,42,45,46,50,53,98,75,100,74,35,80,105,226,88,103,10,9,2,191,22,21,3,215,180,168,162,161,154,151,18,17,16,15,14,13,12,11,8,7,6,5,4,217])). 4.99/4.98 cnf(271,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3))), 4.99/4.98 inference(scs_inference,[],[95,37,41,42,45,46,50,53,54,98,75,100,74,35,80,105,226,88,103,10,9,2,191,22,21,3,215,180,168,162,161,154,151,18,17,16,15,14,13,12,11,8,7,6,5,4,217,213,212,211,209])). 4.99/4.98 cnf(277,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,a3,a3))), 4.99/4.98 inference(scs_inference,[],[95,37,41,42,45,46,50,53,54,98,75,100,74,35,80,105,226,88,103,10,9,2,191,22,21,3,215,180,168,162,161,154,151,18,17,16,15,14,13,12,11,8,7,6,5,4,217,213,212,211,209,207,206,205])). 4.99/4.98 cnf(281,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),f10(a1,x2811)),f10(a1,x2811)),f2(a1))), 4.99/4.98 inference(scs_inference,[],[95,37,41,42,45,46,50,53,54,98,75,100,74,35,80,105,226,88,103,10,9,2,191,22,21,3,215,180,168,162,161,154,151,18,17,16,15,14,13,12,11,8,7,6,5,4,217,213,212,211,209,207,206,205,203,199])). 4.99/4.98 cnf(283,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),a3),a3),a3)), 4.99/4.98 inference(scs_inference,[],[95,37,41,42,45,46,50,53,54,98,75,100,74,35,80,105,226,88,103,10,9,2,191,22,21,3,215,180,168,162,161,154,151,18,17,16,15,14,13,12,11,8,7,6,5,4,217,213,212,211,209,207,206,205,203,199,197])). 4.99/4.98 cnf(291,plain, 4.99/4.98 (P9(a1,f11(a1,f2(a1),f2(a1)),f11(a1,f7(a1),f7(a1)))), 4.99/4.98 inference(scs_inference,[],[95,37,41,42,45,46,50,53,54,98,75,100,74,35,80,105,226,88,103,10,9,2,191,22,21,3,215,180,168,162,161,154,151,18,17,16,15,14,13,12,11,8,7,6,5,4,217,213,212,211,209,207,206,205,203,199,197,196,194,188,185])). 4.99/4.98 cnf(299,plain, 4.99/4.98 (~P9(a1,f11(a1,a3,a3),a3)), 4.99/4.98 inference(scs_inference,[],[95,37,41,42,45,46,50,53,54,98,75,100,74,99,35,80,105,226,88,103,10,9,2,191,22,21,3,215,180,168,162,161,154,151,18,17,16,15,14,13,12,11,8,7,6,5,4,217,213,212,211,209,207,206,205,203,199,197,196,194,188,185,183,177,176,175])). 4.99/4.98 cnf(317,plain, 4.99/4.98 (P9(a4,f2(a4),f8(a4,a5))), 4.99/4.98 inference(scs_inference,[],[95,37,41,42,43,45,46,50,53,54,98,75,100,74,97,70,99,35,80,105,226,88,103,10,9,2,191,22,21,3,215,180,168,162,161,154,151,18,17,16,15,14,13,12,11,8,7,6,5,4,217,213,212,211,209,207,206,205,203,199,197,196,194,188,185,183,177,176,175,172,169,165,156,152,145,144,141,140])). 4.99/4.98 cnf(331,plain, 4.99/4.98 (~E(f11(a1,f11(a1,f7(a1),a3),f11(a1,f7(a1),a3)),a3)), 4.99/4.98 inference(scs_inference,[],[95,37,41,42,43,45,46,50,51,53,54,98,75,100,74,97,70,99,35,80,105,226,88,103,10,9,2,191,22,21,3,215,180,168,162,161,154,151,18,17,16,15,14,13,12,11,8,7,6,5,4,217,213,212,211,209,207,206,205,203,199,197,196,194,188,185,183,177,176,175,172,169,165,156,152,145,144,141,140,136,135,134,133,128,127,125])). 4.99/4.98 cnf(345,plain, 4.99/4.98 (E(f11(a1,f11(a1,a3,a3),f11(a1,a3,a3)),a3)), 4.99/4.98 inference(scs_inference,[],[95,37,41,42,43,45,46,47,50,51,53,54,98,67,75,100,74,97,70,99,35,80,105,226,88,103,102,10,9,2,191,22,21,3,215,180,168,162,161,154,151,18,17,16,15,14,13,12,11,8,7,6,5,4,217,213,212,211,209,207,206,205,203,199,197,196,194,188,185,183,177,176,175,172,169,165,156,152,145,144,141,140,136,135,134,133,128,127,125,124,123,122,120,119,118,116])). 4.99/4.98 cnf(346,plain, 4.99/4.98 (E(f11(a1,a3,x3461),x3461)), 4.99/4.98 inference(rename_variables,[],[67])). 4.99/4.98 cnf(353,plain, 4.99/4.98 (~P9(a1,f2(a1),f12(a1,f2(a1),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))))), 4.99/4.98 inference(scs_inference,[],[95,37,41,42,43,45,46,47,50,51,53,54,98,67,346,75,100,74,97,70,99,35,80,105,226,88,103,102,10,9,2,191,22,21,3,215,180,168,162,161,154,151,18,17,16,15,14,13,12,11,8,7,6,5,4,217,213,212,211,209,207,206,205,203,199,197,196,194,188,185,183,177,176,175,172,169,165,156,152,145,144,141,140,136,135,134,133,128,127,125,124,123,122,120,119,118,116,114,34,20,218])). 4.99/4.98 cnf(364,plain, 4.99/4.98 (~P9(a1,f8(a1,a3),a3)), 4.99/4.98 inference(scs_inference,[],[95,36,37,38,41,42,43,45,46,47,50,51,53,54,98,67,346,75,100,74,97,70,99,35,80,105,226,228,88,103,102,10,9,2,191,22,21,3,215,180,168,162,161,154,151,18,17,16,15,14,13,12,11,8,7,6,5,4,217,213,212,211,209,207,206,205,203,199,197,196,194,188,185,183,177,176,175,172,169,165,156,152,145,144,141,140,136,135,134,133,128,127,125,124,123,122,120,119,118,116,114,34,20,218,214,179,178,159,158])). 4.99/4.98 cnf(366,plain, 4.99/4.98 (~P9(a1,a3,f8(a1,a3))), 4.99/4.98 inference(scs_inference,[],[95,36,37,38,41,42,43,45,46,47,50,51,53,54,98,67,346,75,100,74,97,70,99,35,80,105,226,228,88,103,102,10,9,2,191,22,21,3,215,180,168,162,161,154,151,18,17,16,15,14,13,12,11,8,7,6,5,4,217,213,212,211,209,207,206,205,203,199,197,196,194,188,185,183,177,176,175,172,169,165,156,152,145,144,141,140,136,135,134,133,128,127,125,124,123,122,120,119,118,116,114,34,20,218,214,179,178,159,158,157])). 4.99/4.98 cnf(376,plain, 4.99/4.98 (E(f2(a1),f6(a1,a3))), 4.99/4.98 inference(scs_inference,[],[95,36,37,38,41,42,43,45,46,47,50,51,53,54,98,67,346,75,100,74,97,70,99,35,80,105,226,228,88,103,102,10,9,2,191,22,21,3,215,180,168,162,161,154,151,18,17,16,15,14,13,12,11,8,7,6,5,4,217,213,212,211,209,207,206,205,203,199,197,196,194,188,185,183,177,176,175,172,169,165,156,152,145,144,141,140,136,135,134,133,128,127,125,124,123,122,120,119,118,116,114,34,20,218,214,179,178,159,158,157,149,148,138,137,129])). 4.99/4.98 cnf(386,plain, 4.99/4.98 (E(f11(a1,f12(a1,f2(a1),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),f12(a1,f2(a1),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3))))),f2(a1))), 4.99/4.98 inference(scs_inference,[],[95,36,37,38,41,42,43,45,46,47,50,51,53,54,98,67,346,75,100,74,97,70,99,35,80,105,226,228,88,103,102,10,9,2,191,22,21,3,215,180,168,162,161,154,151,18,17,16,15,14,13,12,11,8,7,6,5,4,217,213,212,211,209,207,206,205,203,199,197,196,194,188,185,183,177,176,175,172,169,165,156,152,145,144,141,140,136,135,134,133,128,127,125,124,123,122,120,119,118,116,114,34,20,218,214,179,178,159,158,157,149,148,138,137,129,126,113,112,224,219])). 4.99/4.98 cnf(402,plain, 4.99/4.98 (P9(a1,f7(a1),f6(a1,x4021))+~P9(a1,f11(a1,f11(a1,f7(a1),a3),a3),x4021)), 4.99/4.98 inference(scs_inference,[],[95,36,37,38,41,42,43,45,46,47,50,51,53,54,56,98,67,346,75,100,62,74,97,70,71,99,35,80,105,226,228,88,103,102,10,9,2,191,22,21,3,215,180,168,162,161,154,151,18,17,16,15,14,13,12,11,8,7,6,5,4,217,213,212,211,209,207,206,205,203,199,197,196,194,188,185,183,177,176,175,172,169,165,156,152,145,144,141,140,136,135,134,133,128,127,125,124,123,122,120,119,118,116,114,34,20,218,214,179,178,159,158,157,149,148,138,137,129,126,113,112,224,219,164,132,121,143,142,117,201,200])). 4.99/4.98 cnf(404,plain, 4.99/4.98 (~P9(a1,f7(a1),f6(a1,f11(a1,f11(a1,f7(a1),a3),a3)))), 4.99/4.98 inference(scs_inference,[],[95,36,37,38,41,42,43,45,46,47,50,51,53,54,56,98,67,346,75,100,62,74,97,70,71,99,35,80,105,226,228,88,103,102,10,9,2,191,22,21,3,215,180,168,162,161,154,151,18,17,16,15,14,13,12,11,8,7,6,5,4,217,213,212,211,209,207,206,205,203,199,197,196,194,188,185,183,177,176,175,172,169,165,156,152,145,144,141,140,136,135,134,133,128,127,125,124,123,122,120,119,118,116,114,34,20,218,214,179,178,159,158,157,149,148,138,137,129,126,113,112,224,219,164,132,121,143,142,117,201,200,193])). 4.99/4.98 cnf(406,plain, 4.99/4.98 (~P9(a1,f6(a1,f11(a1,f11(a1,f7(a1),a3),a3)),f7(a1))), 4.99/4.98 inference(scs_inference,[],[95,36,37,38,41,42,43,45,46,47,50,51,53,54,56,98,67,346,75,100,62,74,97,70,71,99,35,80,105,226,228,88,103,102,10,9,2,191,22,21,3,215,180,168,162,161,154,151,18,17,16,15,14,13,12,11,8,7,6,5,4,217,213,212,211,209,207,206,205,203,199,197,196,194,188,185,183,177,176,175,172,169,165,156,152,145,144,141,140,136,135,134,133,128,127,125,124,123,122,120,119,118,116,114,34,20,218,214,179,178,159,158,157,149,148,138,137,129,126,113,112,224,219,164,132,121,143,142,117,201,200,193,192])). 4.99/4.98 cnf(409,plain, 4.99/4.98 (~E(f10(a1,f11(a1,f7(a1),f2(a4))),f2(a1))), 4.99/4.98 inference(scs_inference,[],[225,110])). 4.99/4.98 cnf(410,plain, 4.99/4.98 (~E(x4101,f11(a1,f7(a1),x4101))), 4.99/4.98 inference(rename_variables,[],[225])). 4.99/4.98 cnf(417,plain, 4.99/4.98 (~E(f11(a1,f11(a1,f7(a1),x4171),x4171),f11(a1,x4172,x4172))), 4.99/4.98 inference(rename_variables,[],[105])). 4.99/4.98 cnf(419,plain, 4.99/4.98 (E(f11(a1,f12(a1,f11(a1,f7(a1),f10(a1,a5)),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),f12(a1,f11(a1,f7(a1),f10(a1,a5)),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3))))),f2(a1))), 4.99/4.98 inference(scs_inference,[],[225,71,105,42,236,277,345,110,125,149,129,219])). 4.99/4.98 cnf(428,plain, 4.99/4.98 (~P9(a1,f11(a1,f7(a1),a3),a3)), 4.99/4.98 inference(scs_inference,[],[225,410,71,105,417,45,42,236,277,345,110,125,149,129,219,201,193,191,2,183])). 4.99/4.98 cnf(431,plain, 4.99/4.98 (E(f8(a1,x4311),x4311)), 4.99/4.98 inference(rename_variables,[],[230])). 4.99/4.98 cnf(453,plain, 4.99/4.98 (~P9(a1,a3,f12(a1,f11(a1,f7(a1),f10(a1,a5)),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))))), 4.99/4.98 inference(scs_inference,[],[95,52,230,225,410,227,39,49,40,56,99,62,71,105,417,37,100,36,45,42,236,277,299,345,110,125,149,129,219,201,193,191,2,183,21,179,178,158,157,148,224,132,121,151,10,9,22])). 4.99/4.98 cnf(454,plain, 4.99/4.98 (~P9(f8(a1,a1),a3,f2(a1))), 4.99/4.98 inference(scs_inference,[],[95,52,230,431,225,410,227,39,49,40,56,99,62,71,105,417,37,100,36,45,42,236,277,299,345,110,125,149,129,219,201,193,191,2,183,21,179,178,158,157,148,224,132,121,151,10,9,22,20])). 4.99/4.98 cnf(459,plain, 4.99/4.98 (E(f8(a1,f12(a1,f2(a1),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3))))),f2(a1))), 4.99/4.98 inference(scs_inference,[],[95,52,230,431,225,410,227,39,49,40,56,99,62,71,105,417,37,100,51,36,45,42,236,386,277,299,345,110,125,149,129,219,201,193,191,2,183,21,179,178,158,157,148,224,132,121,151,10,9,22,20,3,33,131])). 4.99/4.98 cnf(478,plain, 4.99/4.98 (~P9(a1,f10(a1,x4781),f6(a1,a3))), 4.99/4.98 inference(scs_inference,[],[35,61,232,227,56,100,45,42,263,283,353,129,121,193,183,2,22])). 4.99/4.98 cnf(497,plain, 4.99/4.98 (~P9(a1,f10(a1,x4971),f2(a1))), 4.99/4.98 inference(rename_variables,[],[100])). 4.99/4.98 cnf(499,plain, 4.99/4.98 (~P9(a1,f11(a1,f7(a1),a3),f11(a1,f7(a1),a3))), 4.99/4.98 inference(scs_inference,[],[41,50,53,37,100,459,409,248,271,139,129,183])). 4.99/4.98 cnf(505,plain, 4.99/4.98 (~E(f2(a1),f11(a1,f11(a1,f7(a1),x5051),x5051))), 4.99/4.98 inference(scs_inference,[],[80,103,41,50,53,37,100,497,459,409,242,248,271,139,129,183,178,22,2])). 4.99/4.98 cnf(516,plain, 4.99/4.98 (~E(f11(a1,f11(a1,f7(a1),x5161),x5161),a3)), 4.99/4.98 inference(rename_variables,[],[102])). 4.99/4.98 cnf(518,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,a3,f7(a1)))), 4.99/4.98 inference(scs_inference,[],[102,516,283,129,178])). 4.99/4.98 cnf(519,plain, 4.99/4.98 (~E(f11(a1,f11(a1,f7(a1),x5191),x5191),a3)), 4.99/4.98 inference(rename_variables,[],[102])). 4.99/4.98 cnf(525,plain, 4.99/4.98 (E(f11(a1,x5251,f2(a1)),x5251)), 4.99/4.98 inference(rename_variables,[],[72])). 4.99/4.98 cnf(529,plain, 4.99/4.98 (~E(f11(a1,x5291,f11(a1,f11(a1,f7(a1),f11(a1,x5291,x5292)),x5292)),a3)), 4.99/4.98 inference(scs_inference,[],[234,57,69,83,64,72,102,516,519,99,454,283,129,178,183,22,21,20,2,3])). 4.99/4.98 cnf(530,plain, 4.99/4.98 (~E(f11(a1,f11(a1,f7(a1),x5301),x5301),a3)), 4.99/4.98 inference(rename_variables,[],[102])). 4.99/4.98 cnf(534,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),a3),f11(a1,f7(a1),a3)),a3)), 4.99/4.98 inference(scs_inference,[],[234,57,69,83,64,72,102,516,519,49,99,454,428,283,129,178,183,22,21,20,2,3,9,30,175])). 4.99/4.98 cnf(536,plain, 4.99/4.98 (P9(a4,f2(a4),f8(a4,f8(a4,a5)))), 4.99/4.98 inference(scs_inference,[],[234,57,69,83,64,72,102,516,519,49,99,454,428,317,283,129,178,183,22,21,20,2,3,9,30,175,140])). 4.99/4.98 cnf(540,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),f2(a1)),f2(a1)))), 4.99/4.98 inference(scs_inference,[],[234,57,69,83,64,72,102,516,519,49,99,454,428,244,317,283,129,178,183,22,21,20,2,3,9,30,175,140,177,209])). 4.99/4.98 cnf(544,plain, 4.99/4.98 (P9(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),f7(a1)),f7(a1)))), 4.99/4.98 inference(scs_inference,[],[234,57,69,83,64,72,102,516,519,49,99,454,428,244,317,283,129,178,183,22,21,20,2,3,9,30,175,140,177,209,205,203])). 4.99/4.98 cnf(548,plain, 4.99/4.98 (P9(a1,f11(a1,a3,a3),f11(a1,f7(a1),f7(a1)))), 4.99/4.98 inference(scs_inference,[],[234,57,69,83,64,72,102,516,519,49,99,454,428,244,317,283,129,178,183,22,21,20,2,3,9,30,175,140,177,209,205,203,188,185])). 4.99/4.98 cnf(550,plain, 4.99/4.98 (E(f11(a1,f11(a1,a3,f2(a1)),f11(a1,a3,f2(a1))),a3)), 4.99/4.98 inference(scs_inference,[],[234,57,69,83,64,72,525,102,516,519,49,99,454,428,244,317,283,129,178,183,22,21,20,2,3,9,30,175,140,177,209,205,203,188,185,116])). 4.99/4.98 cnf(557,plain, 4.99/4.98 (~E(f11(a1,f11(a1,f11(a1,f7(a1),x5571),x5571),f11(a1,f11(a1,f7(a1),x5571),x5571)),f11(a1,a3,a3))), 4.99/4.98 inference(scs_inference,[],[234,57,69,83,64,72,525,102,516,519,530,49,99,45,42,454,428,244,317,283,129,178,183,22,21,20,2,3,9,30,175,140,177,209,205,203,188,185,116,114,200,145])). 4.99/4.98 cnf(559,plain, 4.99/4.98 (P9(a1,f7(a1),f11(a1,a9,f7(a1)))), 4.99/4.98 inference(scs_inference,[],[234,57,69,83,64,72,525,102,516,519,530,49,71,99,45,42,454,428,244,317,283,129,178,183,22,21,20,2,3,9,30,175,140,177,209,205,203,188,185,116,114,200,145,172])). 4.99/4.98 cnf(565,plain, 4.99/4.98 (E(f10(f8(a4,a5),x5651),f10(a5,x5651))), 4.99/4.98 inference(scs_inference,[],[234,57,69,83,64,72,525,102,516,519,530,49,71,99,45,42,454,428,244,317,283,129,178,183,22,21,20,2,3,9,30,175,140,177,209,205,203,188,185,116,114,200,145,172,156,165,16])). 4.99/4.98 cnf(578,plain, 4.99/4.98 (E(f10(a1,f8(a4,x5781)),f10(a1,x5781))), 4.99/4.98 inference(scs_inference,[],[55,234,57,69,83,64,72,525,44,48,102,516,519,530,49,71,99,45,42,454,428,244,317,283,129,178,183,22,21,20,2,3,9,30,175,140,177,209,205,203,188,185,116,114,200,145,172,156,165,16,15,14,8,7,213,144,120,119,118])). 4.99/4.98 cnf(580,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),a3),a3),f2(a1))), 4.99/4.98 inference(scs_inference,[],[55,234,57,69,83,64,72,525,44,48,102,516,519,530,49,71,99,45,42,454,428,244,317,283,129,178,183,22,21,20,2,3,9,30,175,140,177,209,205,203,188,185,116,114,200,145,172,156,165,16,15,14,8,7,213,144,120,119,118,199])). 4.99/4.98 cnf(582,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),f11(a1,f7(a1),a3)),f11(a1,f7(a1),a3)),a3)), 4.99/4.98 inference(scs_inference,[],[55,234,57,69,83,64,72,525,44,48,102,516,519,530,49,71,99,45,42,454,428,244,317,283,129,178,183,22,21,20,2,3,9,30,175,140,177,209,205,203,188,185,116,114,200,145,172,156,165,16,15,14,8,7,213,144,120,119,118,199,197])). 4.99/4.98 cnf(586,plain, 4.99/4.98 (~E(f11(a1,f11(a1,f11(a1,f7(a1),a3),f11(a1,f7(a1),a3)),f11(a1,f11(a1,f7(a1),a3),f11(a1,f7(a1),a3))),a3)), 4.99/4.98 inference(scs_inference,[],[55,234,57,69,83,64,72,525,44,48,102,516,519,530,49,71,99,45,42,454,428,331,244,317,283,129,178,183,22,21,20,2,3,9,30,175,140,177,209,205,203,188,185,116,114,200,145,172,156,165,16,15,14,8,7,213,144,120,119,118,199,197,141,124])). 4.99/4.98 cnf(617,plain, 4.99/4.98 (~P9(a1,f7(a1),f7(a1))), 4.99/4.98 inference(scs_inference,[],[578,580,499,505,114,129,183])). 4.99/4.98 cnf(619,plain, 4.99/4.98 (P9(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f7(a1),f11(a1,f7(a1),f7(a1))))), 4.99/4.98 inference(scs_inference,[],[84,578,580,544,499,505,114,129,183,22])). 4.99/4.98 cnf(620,plain, 4.99/4.98 (E(f11(a1,f11(a1,x6201,x6202),x6203),f11(a1,x6201,f11(a1,x6202,x6203)))), 4.99/4.98 inference(rename_variables,[],[84])). 4.99/4.98 cnf(621,plain, 4.99/4.98 (P9(a1,f11(a1,f7(a1),f11(a1,a3,a3)),f11(a1,f11(a1,f7(a1),f7(a1)),f7(a1)))), 4.99/4.98 inference(scs_inference,[],[84,620,578,580,544,499,505,114,129,183,22,21])). 4.99/4.98 cnf(651,plain, 4.99/4.98 (P9(a1,a3,f11(a1,f11(a1,f7(a1),f11(a1,f7(a1),a3)),f11(a1,f7(a1),a3)))), 4.99/4.98 inference(scs_inference,[],[235,102,582,114,179,129])). 4.99/4.98 cnf(652,plain, 4.99/4.98 (~E(f11(a1,f11(a1,f7(a1),x6521),x6521),a3)), 4.99/4.98 inference(rename_variables,[],[102])). 4.99/4.98 cnf(660,plain, 4.99/4.98 (P9(a1,f12(a1,f11(a1,f7(a1),f10(a1,a5)),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),f11(a1,f10(a1,a5),f7(a1)))), 4.99/4.98 inference(scs_inference,[],[235,229,102,652,71,232,617,582,114,179,129,178,183,22,21])). 4.99/4.98 cnf(661,plain, 4.99/4.98 (~E(f11(a1,f11(a1,f7(a1),x6611),x6611),f11(a1,f11(a1,x6612,x6612),f11(a1,x6613,x6613)))), 4.99/4.98 inference(scs_inference,[],[91,235,229,102,652,105,71,232,617,582,114,179,129,178,183,22,21,3])). 4.99/4.98 cnf(696,plain, 4.99/4.98 (~P9(a1,f7(a1),f6(a1,f11(a1,f11(a1,f7(a1),f2(a1)),f2(a1))))), 4.99/4.98 inference(scs_inference,[],[45,42,540,193])). 4.99/4.98 cnf(698,plain, 4.99/4.98 (P9(a1,a3,f11(a1,f7(a1),a3))), 4.99/4.98 inference(scs_inference,[],[225,45,42,540,428,193,129])). 4.99/4.98 cnf(699,plain, 4.99/4.98 (~E(x6991,f11(a1,f7(a1),x6991))), 4.99/4.98 inference(rename_variables,[],[225])). 4.99/4.98 cnf(707,plain, 4.99/4.98 (~P9(a1,f12(a1,f10(a1,x7071),x7072),f2(a1))), 4.99/4.98 inference(scs_inference,[],[93,79,225,103,100,45,42,661,540,281,428,193,129,178,10,9,21])). 4.99/4.98 cnf(708,plain, 4.99/4.98 (~P9(a1,f10(a1,x7081),f2(a1))), 4.99/4.98 inference(rename_variables,[],[100])). 4.99/4.98 cnf(709,plain, 4.99/4.98 (~P9(a1,a3,f6(a1,a3))), 4.99/4.98 inference(scs_inference,[],[93,79,61,225,103,100,99,45,42,661,540,281,428,193,129,178,10,9,21,22])). 4.99/4.98 cnf(713,plain, 4.99/4.98 (~P9(f8(a1,a1),f10(a1,x7131),f2(a1))), 4.99/4.98 inference(scs_inference,[],[93,79,61,230,225,699,103,235,100,708,99,45,42,661,540,281,428,193,129,178,10,9,21,22,3,2,20])). 4.99/4.98 cnf(730,plain, 4.99/4.98 (E(a3,f8(a1,a3))), 4.99/4.98 inference(scs_inference,[],[45,42,518,366,364,193,129])). 4.99/4.98 cnf(733,plain, 4.99/4.98 (~E(f11(a1,f7(a1),f11(a1,x7331,x7331)),f11(a1,x7332,x7332))), 4.99/4.98 inference(scs_inference,[],[81,45,42,518,366,364,661,193,129,10,9])). 4.99/4.98 cnf(735,plain, 4.99/4.98 (~P9(a1,f7(a1),f11(a1,f6(a1,f11(a1,f7(a1),f2(a1))),f6(a1,f2(a1))))), 4.99/4.98 inference(scs_inference,[],[81,45,42,696,518,366,364,661,193,129,10,9,22])). 4.99/4.98 cnf(736,plain, 4.99/4.98 (E(f11(a1,f6(a1,x7361),f6(a1,x7362)),f6(a1,f11(a1,x7361,x7362)))), 4.99/4.98 inference(rename_variables,[],[81])). 4.99/4.98 cnf(737,plain, 4.99/4.98 (~P9(a1,f11(a1,f6(a1,f11(a1,f7(a1),a3)),f6(a1,a3)),f7(a1))), 4.99/4.98 inference(scs_inference,[],[81,736,45,42,696,518,366,364,406,661,193,129,10,9,22,21])). 4.99/4.98 cnf(738,plain, 4.99/4.98 (E(f11(a1,f6(a1,x7381),f6(a1,x7382)),f6(a1,f11(a1,x7381,x7382)))), 4.99/4.98 inference(rename_variables,[],[81])). 4.99/4.98 cnf(740,plain, 4.99/4.98 (E(f11(a1,f6(a1,x7401),f6(a1,x7402)),f6(a1,f11(a1,x7401,x7402)))), 4.99/4.98 inference(rename_variables,[],[81])). 4.99/4.98 cnf(761,plain, 4.99/4.98 (~E(a1,x7611)+~P9(a1,f11(a1,f11(a1,f7(a1),f8(a1,a3)),f8(a1,a3)),a3)), 4.99/4.98 inference(scs_inference,[],[81,736,738,740,86,80,45,42,619,696,518,366,364,406,661,193,129,10,9,22,21,3,2,26,182,167,207,206,194,128,127,203,402,197])). 4.99/4.98 cnf(763,plain, 4.99/4.98 (~E(a1,x7631)+~P9(a1,f11(a1,f8(a1,a3),f8(a1,a3)),a3)), 4.99/4.98 inference(scs_inference,[],[81,736,738,740,86,80,45,42,619,696,518,366,364,406,661,193,129,10,9,22,21,3,2,26,182,167,207,206,194,128,127,203,402,197,175])). 4.99/4.98 cnf(767,plain, 4.99/4.98 (~E(a1,x7671)+P9(a4,f2(a4),f8(a4,f8(a4,f8(a4,a5))))), 4.99/4.98 inference(scs_inference,[],[81,736,738,740,86,238,80,45,42,619,696,536,518,366,364,406,661,193,129,10,9,22,21,3,2,26,182,167,207,206,194,128,127,203,402,197,175,177,140])). 4.99/4.98 cnf(779,plain, 4.99/4.98 (~E(a1,x7791)+~P9(a1,f11(a1,f11(a1,f7(a1),f11(a1,f10(a1,x7792),f10(a1,x7792))),f11(a1,f10(a1,x7792),f10(a1,x7792))),f11(a1,f2(a1),f2(a1)))), 4.99/4.98 inference(scs_inference,[],[81,736,738,740,86,238,225,80,45,42,619,696,529,536,518,366,364,406,661,193,129,10,9,22,21,3,2,26,182,167,207,206,194,128,127,203,402,197,175,177,140,144,141,124,145,209,205])). 4.99/4.98 cnf(788,plain, 4.99/4.98 (~E(a1,x7881)+P9(a1,f2(a1),f11(a1,f11(a1,f7(a1),f10(a1,a5)),f7(a1)))), 4.99/4.98 inference(scs_inference,[],[81,736,738,740,86,238,73,225,80,45,42,619,696,529,536,518,366,364,406,661,193,129,10,9,22,21,3,2,26,182,167,207,206,194,128,127,203,402,197,175,177,140,144,141,124,145,209,205,188,185,116,172])). 4.99/4.98 cnf(798,plain, 4.99/4.98 (~E(a1,x7981)+~P9(a1,f11(a1,f11(a1,f7(a1),f11(a1,f10(a1,x7982),f10(a1,x7982))),f11(a1,f10(a1,x7982),f10(a1,x7982))),f2(a1))), 4.99/4.98 inference(scs_inference,[],[81,736,738,740,86,238,73,225,80,45,42,619,696,529,536,518,366,364,406,661,193,129,10,9,22,21,3,2,26,182,167,207,206,194,128,127,203,402,197,175,177,140,144,141,124,145,209,205,188,185,116,172,156,165,15,14,8,7,199])). 4.99/4.98 cnf(821,plain, 4.99/4.98 (~E(a1,x8211)+E(f8(a1,f12(a1,f11(a1,f7(a1),f10(a1,a5)),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3))))),f2(a1))), 4.99/4.98 inference(scs_inference,[],[81,736,738,740,86,238,73,225,80,51,45,42,419,709,621,698,619,696,529,536,518,366,364,406,661,193,129,10,9,22,21,3,2,26,182,167,207,206,194,128,127,203,402,197,175,177,140,144,141,124,145,209,205,188,185,116,172,156,165,15,14,8,7,199,196,176,169,125,18,16,13,11,6,5,117,12,4,17,178,131])). 4.99/4.98 cnf(843,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),f8(a1,a3)),f8(a1,a3)),a3)), 4.99/4.98 inference(equality_inference,[],[761])). 4.99/4.98 cnf(844,plain, 4.99/4.98 (~P9(a1,f11(a1,f8(a1,a3),f8(a1,a3)),a3)), 4.99/4.98 inference(equality_inference,[],[763])). 4.99/4.98 cnf(846,plain, 4.99/4.98 (P9(a4,f2(a4),f8(a4,f8(a4,f8(a4,a5))))), 4.99/4.98 inference(equality_inference,[],[767])). 4.99/4.98 cnf(850,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),f11(a1,f10(a1,x8501),f10(a1,x8501))),f11(a1,f10(a1,x8501),f10(a1,x8501))),f11(a1,f2(a1),f2(a1)))), 4.99/4.98 inference(equality_inference,[],[779])). 4.99/4.98 cnf(854,plain, 4.99/4.98 (P9(a1,f2(a1),f11(a1,f11(a1,f7(a1),f10(a1,a5)),f7(a1)))), 4.99/4.98 inference(equality_inference,[],[788])). 4.99/4.98 cnf(861,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),f11(a1,f10(a1,x8611),f10(a1,x8611))),f11(a1,f10(a1,x8611),f10(a1,x8611))),f2(a1))), 4.99/4.98 inference(equality_inference,[],[798])). 4.99/4.98 cnf(876,plain, 4.99/4.98 (E(f8(a1,f12(a1,f11(a1,f7(a1),f10(a1,a5)),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3))))),f2(a1))), 4.99/4.98 inference(equality_inference,[],[821])). 4.99/4.98 cnf(883,plain, 4.99/4.98 (E(f11(a1,f8(a1,a3),f8(a1,a3)),a3)), 4.99/4.98 inference(scs_inference,[],[46,876,730,214,117])). 4.99/4.98 cnf(886,plain, 4.99/4.98 (~E(f11(a1,f11(a1,f7(a1),x8861),x8861),f2(a1))), 4.99/4.98 inference(rename_variables,[],[103])). 4.99/4.98 cnf(891,plain, 4.99/4.98 (~E(f11(a1,x8911,x8911),f7(a1))), 4.99/4.98 inference(scs_inference,[],[46,103,886,733,876,730,861,214,117,178,129,10])). 4.99/4.98 cnf(913,plain, 4.99/4.98 (P9(a1,a3,f11(a1,f11(a1,f7(a1),f8(a1,a3)),f8(a1,a3)))), 4.99/4.98 inference(scs_inference,[],[102,883,843,116,125,129])). 4.99/4.98 cnf(914,plain, 4.99/4.98 (~E(f11(a1,f11(a1,f7(a1),x9141),x9141),a3)), 4.99/4.98 inference(rename_variables,[],[102])). 4.99/4.98 cnf(917,plain, 4.99/4.98 (~E(f11(a1,f11(a1,f7(a1),x9171),x9171),a3)), 4.99/4.98 inference(rename_variables,[],[102])). 4.99/4.98 cnf(922,plain, 4.99/4.98 (~E(f11(a1,x9221,f11(a1,f7(a1),x9221)),a3)), 4.99/4.98 inference(scs_inference,[],[63,240,75,68,102,914,917,883,843,116,125,129,178,10,22,3])). 4.99/4.98 cnf(925,plain, 4.99/4.98 (E(f7(a1),f10(a1,f7(a4)))), 4.99/4.98 inference(scs_inference,[],[63,240,75,68,102,914,917,883,843,116,125,129,178,10,22,3,2])). 4.99/4.98 cnf(974,plain, 4.99/4.98 (P9(a1,f11(a1,a3,a3),f7(a1))), 4.99/4.98 inference(scs_inference,[],[232,99,45,42,891,913,548,844,843,154,164,161,162,179,178])). 4.99/4.98 cnf(995,plain, 4.99/4.98 (P9(a1,f8(a1,a3),f7(a1))), 4.99/4.98 inference(scs_inference,[],[234,42,149])). 4.99/4.98 cnf(999,plain, 4.99/4.98 (E(f7(a1),f6(a1,f11(a1,f11(a1,f7(a1),a3),a3)))), 4.99/4.98 inference(scs_inference,[],[242,234,42,404,406,149,157,129])). 4.99/4.98 cnf(1012,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f11(a1,f7(a1),a3),f11(a1,f7(a1),a3)),f11(a1,f11(a1,f7(a1),a3),f11(a1,f7(a1),a3))),a3)), 4.99/4.98 inference(scs_inference,[],[87,242,72,227,105,71,234,42,925,735,404,850,534,406,37,149,157,129,178,3,22,2,21,20,19,175])). 4.99/4.98 cnf(1014,plain, 4.99/4.98 (~P9(a1,f11(a1,f12(a1,f10(a1,x10141),x10142),f12(a1,f10(a1,x10141),x10142)),f2(a1))), 4.99/4.98 inference(scs_inference,[],[87,242,72,227,105,71,234,42,707,925,735,404,850,534,406,37,149,157,129,178,3,22,2,21,20,19,175,177])). 4.99/4.98 cnf(1026,plain, 4.99/4.98 (P9(a1,f2(a1),f11(a1,f11(a1,f10(a1,a5),f7(a1)),f7(a1)))), 4.99/4.98 inference(scs_inference,[],[87,242,72,227,105,71,234,232,42,707,925,735,404,850,534,406,37,149,157,129,178,3,22,2,21,20,19,175,177,209,205,188,185,203,172])). 4.99/4.98 cnf(1028,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),f12(a1,f10(a1,x10281),x10282)),f12(a1,f10(a1,x10281),x10282)),f2(a1))), 4.99/4.98 inference(scs_inference,[],[87,242,72,227,105,71,234,232,42,707,925,735,404,850,534,406,37,149,157,129,178,3,22,2,21,20,19,175,177,209,205,188,185,203,172,199])). 4.99/4.98 cnf(1030,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),f11(a1,f11(a1,f7(a1),a3),f11(a1,f7(a1),a3))),f11(a1,f11(a1,f7(a1),a3),f11(a1,f7(a1),a3))),a3)), 4.99/4.98 inference(scs_inference,[],[87,242,72,227,105,71,234,232,42,707,925,735,404,850,534,406,37,149,157,129,178,3,22,2,21,20,19,175,177,209,205,188,185,203,172,199,197])). 4.99/4.98 cnf(1032,plain, 4.99/4.98 (P9(a4,f2(a4),f8(a4,f8(a4,f8(a4,f8(a4,a5)))))), 4.99/4.98 inference(scs_inference,[],[87,242,72,227,105,71,234,232,42,707,925,735,846,404,850,534,406,37,149,157,129,178,3,22,2,21,20,19,175,177,209,205,188,185,203,172,199,197,140])). 4.99/4.98 cnf(1049,plain, 4.99/4.98 (P9(a1,f11(a1,f11(a1,f7(a1),f7(a1)),f7(a1)),f11(a1,a9,a9))), 4.99/4.98 inference(scs_inference,[],[87,242,72,225,227,105,71,234,232,42,974,707,925,735,922,846,404,850,534,406,37,149,157,129,178,3,22,2,21,20,19,175,177,209,205,188,185,203,172,199,197,140,141,124,145,144,156,165,15,8,7,196])). 4.99/4.98 cnf(1078,plain, 4.99/4.98 (~P9(a1,f2(a1),f12(a1,f12(a1,f11(a1,f7(a1),f10(a1,a5)),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))))), 4.99/4.98 inference(scs_inference,[],[42,876,218])). 4.99/4.98 cnf(1082,plain, 4.99/4.98 (~P9(a1,f8(a1,f6(a1,a3)),f6(a1,a3))), 4.99/4.98 inference(scs_inference,[],[240,234,42,876,218,148,158])). 4.99/4.98 cnf(1084,plain, 4.99/4.98 (~P9(a1,f7(a1),f6(a1,f2(a1)))), 4.99/4.98 inference(scs_inference,[],[240,234,45,42,876,580,218,148,158,193])). 4.99/4.98 cnf(1087,plain, 4.99/4.98 (~E(f11(a1,f11(a1,f7(a1),x10871),x10871),a3)), 4.99/4.98 inference(rename_variables,[],[102])). 4.99/4.98 cnf(1092,plain, 4.99/4.98 (~E(f12(a1,f11(a1,f7(a1),f10(a1,a5)),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),f7(a1))), 4.99/4.98 inference(scs_inference,[],[229,240,97,102,1087,234,45,42,1030,876,580,218,148,158,193,178,129,3])). 4.99/4.98 cnf(1094,plain, 4.99/4.98 (~P9(a1,f6(a1,a3),f11(a1,a3,f6(a1,a3)))), 4.99/4.98 inference(scs_inference,[],[229,67,240,97,102,1087,234,45,42,557,1030,876,580,218,148,158,193,178,129,3,2,22])). 4.99/4.98 cnf(1095,plain, 4.99/4.98 (E(f11(a1,a3,x10951),x10951)), 4.99/4.98 inference(rename_variables,[],[67])). 4.99/4.98 cnf(1096,plain, 4.99/4.98 (~P9(a1,f11(a1,a3,f6(a1,a3)),f6(a1,a3))), 4.99/4.98 inference(scs_inference,[],[229,67,1095,240,97,102,1087,234,45,42,557,1030,876,580,218,148,158,193,178,129,3,2,22,21])). 4.99/4.98 cnf(1098,plain, 4.99/4.98 (~P9(f8(a1,f8(a1,a1)),f10(a1,x10981),f2(a1))), 4.99/4.98 inference(scs_inference,[],[69,229,67,1095,240,97,102,1087,234,45,42,557,713,1030,876,580,218,148,158,193,178,129,3,2,22,21,20])). 4.99/4.98 cnf(1119,plain, 4.99/4.98 (E(f8(x11191,f13(x11191)),f13(x11191))), 4.99/4.98 inference(rename_variables,[],[65])). 4.99/4.98 cnf(1121,plain, 4.99/4.98 (P9(a1,f11(a1,f7(a1),f11(a1,f7(a1),f7(a1))),f11(a1,a9,a9))), 4.99/4.98 inference(scs_inference,[],[96,65,84,232,42,1096,250,1094,1049,291,891,149,129,178,3,2,21])). 4.99/4.98 cnf(1122,plain, 4.99/4.98 (E(f11(a1,f11(a1,x11221,x11222),x11223),f11(a1,x11221,f11(a1,x11222,x11223)))), 4.99/4.98 inference(rename_variables,[],[84])). 4.99/4.98 cnf(1136,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f12(a1,f10(a1,x11361),x11362),f12(a1,f10(a1,x11361),x11362)),f11(a1,f12(a1,f10(a1,x11361),x11362),f12(a1,f10(a1,x11361),x11362))),f2(a1))), 4.99/4.98 inference(scs_inference,[],[96,65,1119,84,1122,235,225,56,232,45,42,1096,995,250,1094,854,1014,1049,291,891,149,129,178,3,2,21,22,29,114,191,121,183,10,19,180])). 4.99/4.98 cnf(1141,plain, 4.99/4.98 (~P9(f11(a1,a1,a3),f6(a1,a3),f2(a1))), 4.99/4.98 inference(scs_inference,[],[96,65,1119,84,1122,244,68,55,47,235,225,56,232,45,42,1096,995,250,1094,854,1014,1049,291,891,149,129,178,3,2,21,22,29,114,191,121,183,10,19,180,28,34,32,20])). 4.99/4.98 cnf(1155,plain, 4.99/4.98 (~E(f7(a1),a3)), 4.99/4.98 inference(scs_inference,[],[79,227,234,98,42,1121,1078,1012,586,617,263,149,129,178,3,21,22])). 4.99/4.98 cnf(1162,plain, 4.99/4.98 (~E(f6(a1,f11(a1,f11(a1,f7(a1),x11621),x11621)),f6(a1,a3))), 4.99/4.98 inference(scs_inference,[],[79,75,102,227,56,234,98,45,42,1141,1092,1121,1078,1012,586,617,263,149,129,178,3,21,22,2,20,31,179,121])). 4.99/4.98 cnf(1177,plain, 4.99/4.98 (~E(f11(a1,f11(a1,f7(a1),x11771),x11771),f2(a1))), 4.99/4.98 inference(rename_variables,[],[103])). 4.99/4.98 cnf(1180,plain, 4.99/4.98 (~E(f11(a1,f11(a1,f7(a1),x11801),x11801),f2(a1))), 4.99/4.98 inference(rename_variables,[],[103])). 4.99/4.98 cnf(1184,plain, 4.99/4.98 (~P9(a1,f6(a1,a3),f10(a1,f2(a4)))), 4.99/4.98 inference(scs_inference,[],[64,244,103,1177,225,1028,428,179,129,178,3,22])). 4.99/4.98 cnf(1191,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),f11(a1,a3,a3)),f11(a1,a3,a3)),a3)), 4.99/4.98 inference(scs_inference,[],[246,64,73,244,103,1177,225,1028,299,428,38,179,129,178,3,22,2,21,23,185,197])). 4.99/4.98 cnf(1193,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,a3,a3),f11(a1,a3,a3)),a3)), 4.99/4.98 inference(scs_inference,[],[246,64,73,244,103,1177,225,1028,299,428,38,179,129,178,3,22,2,21,23,185,197,175])). 4.99/4.98 cnf(1201,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),f6(a1,a3)),f6(a1,a3)),f11(a1,f2(a1),f2(a1)))), 4.99/4.98 inference(scs_inference,[],[246,64,73,244,103,1177,225,1136,1028,1032,299,428,38,179,129,178,3,22,2,21,23,185,197,175,177,140,209,205])). 4.99/4.98 cnf(1209,plain, 4.99/4.98 (P9(a1,f2(a1),f11(a1,f6(a1,f7(a1)),f7(a1)))), 4.99/4.98 inference(scs_inference,[],[246,64,73,244,103,1177,225,1136,1028,1032,299,428,38,179,129,178,3,22,2,21,23,185,197,175,177,140,209,205,188,203,165,172])). 4.99/4.98 cnf(1211,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),f6(a1,a3)),f6(a1,a3)),f2(a1))), 4.99/4.98 inference(scs_inference,[],[246,64,73,244,103,1177,225,1136,1028,1032,299,428,38,179,129,178,3,22,2,21,23,185,197,175,177,140,209,205,188,203,165,172,199])). 4.99/4.98 cnf(1213,plain, 4.99/4.98 (P9(a4,f8(a4,f2(a4)),f8(a4,f8(a4,f8(a4,f8(a4,a5)))))), 4.99/4.98 inference(scs_inference,[],[246,64,73,244,103,1177,225,1136,1028,1032,299,428,38,179,129,178,3,22,2,21,23,185,197,175,177,140,209,205,188,203,165,172,199,141])). 4.99/4.98 cnf(1230,plain, 4.99/4.98 (P9(a1,a3,f11(a1,f11(a1,f11(a1,f7(a1),f11(a1,f7(a1),a3)),f11(a1,f7(a1),a3)),f11(a1,f11(a1,f7(a1),f11(a1,f7(a1),a3)),f11(a1,f7(a1),a3))))), 4.99/4.98 inference(scs_inference,[],[246,64,73,244,103,1177,1180,225,1136,1155,651,453,1028,1032,299,428,38,179,129,178,3,22,2,21,23,185,197,175,177,140,209,205,188,203,165,172,199,141,145,124,144,196,176,156,15,8,7,169])). 4.99/4.98 cnf(1264,plain, 4.99/4.98 (E(f11(a1,f10(a1,x12641),f11(a1,f10(a1,x12642),x12643)),f11(a1,f10(a1,f11(a4,x12641,x12642)),x12643))), 4.99/4.98 inference(rename_variables,[],[90])). 4.99/4.98 cnf(1269,plain, 4.99/4.98 (~P9(a1,f11(a1,f10(a1,x12691),f10(a1,x12691)),f2(a1))), 4.99/4.98 inference(rename_variables,[],[238])). 4.99/4.98 cnf(1276,plain, 4.99/4.98 (E(f11(a1,f11(a1,f11(a1,a3,f2(a1)),f11(a1,a3,f2(a1))),f11(a1,f11(a1,a3,f2(a1)),f11(a1,a3,f2(a1)))),a3)), 4.99/4.98 inference(scs_inference,[],[42,90,1264,86,83,246,238,1269,1162,1211,550,737,505,36,129,3,2,21,22,19,148,158,116])). 4.99/4.98 cnf(1278,plain, 4.99/4.98 (~P9(a1,f6(a1,a3),f8(a1,f6(a1,a3)))), 4.99/4.98 inference(scs_inference,[],[42,90,1264,86,83,246,240,238,1269,1162,1211,550,737,505,36,129,3,2,21,22,19,148,158,116,157])). 4.99/4.98 cnf(1304,plain, 4.99/4.98 (P9(a1,f12(a1,f11(a1,f7(a1),f10(a1,a5)),f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),f6(a1,f7(a1)))), 4.99/4.98 inference(scs_inference,[],[92,229,72,102,227,246,240,238,1278,1191,1082,42,157,129,178,3,2,20,21])). 4.99/4.98 cnf(1321,plain, 4.99/4.98 (P9(a1,f11(a1,f2(a1),x13211),f11(a1,f6(a1,f7(a1)),x13211))), 4.99/4.98 inference(scs_inference,[],[248,246,114,191,183])). 4.99/4.98 cnf(1324,plain, 4.99/4.98 (P9(a1,f11(a1,f2(a1),f2(a1)),f11(a1,f11(a1,f7(a1),f6(a1,a3)),f6(a1,a3)))), 4.99/4.98 inference(scs_inference,[],[76,248,105,246,1201,114,191,183,10,129])). 4.99/4.98 cnf(1327,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),f6(a1,a3)),f6(a1,a3)),f11(a1,f2(a1),f7(a1)))), 4.99/4.98 inference(scs_inference,[],[76,248,105,103,246,1201,1211,114,191,183,10,129,178])). 4.99/4.98 cnf(1330,plain, 4.99/4.98 (~E(f11(a4,f7(a4),f7(a4)),f2(a4))), 4.99/4.98 inference(scs_inference,[],[76,94,248,105,103,246,1201,1211,114,191,183,10,129,178,3])). 4.99/4.98 cnf(1331,plain, 4.99/4.98 (~P9(f8(a1,f8(a1,f8(a1,a1))),f10(a1,x13311),f2(a1))), 4.99/4.98 inference(scs_inference,[],[76,69,94,248,105,103,246,1098,1201,1211,114,191,183,10,129,178,3,20])). 4.99/4.98 cnf(1333,plain, 4.99/4.98 (~P9(a1,f11(a1,a3,f10(a1,x13331)),f2(a1))), 4.99/4.98 inference(scs_inference,[],[76,69,94,248,67,105,103,246,100,1098,1201,1211,114,191,183,10,129,178,3,20,21])). 4.99/4.98 cnf(1334,plain, 4.99/4.98 (E(f11(a1,a3,x13341),x13341)), 4.99/4.98 inference(rename_variables,[],[67])). 4.99/4.98 cnf(1338,plain, 4.99/4.98 (~E(f10(a1,f6(a4,f11(a1,f11(a1,f11(a1,f7(a1),a3),a3),f11(a1,f11(a1,f7(a1),a3),a3)))),f2(a1))), 4.99/4.98 inference(scs_inference,[],[76,69,94,248,67,1334,105,103,242,246,100,1098,1201,1211,114,191,183,10,129,178,3,20,21,2,22,110])). 4.99/4.98 cnf(1359,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),f8(a1,f6(a1,a3))),f8(a1,f6(a1,a3))),f11(a1,f2(a1),f7(a1)))), 4.99/4.98 inference(scs_inference,[],[250,88,225,1327,1184,478,129,9,3,2,21])). 4.99/4.98 cnf(1363,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),f11(a1,f11(a1,a3,a3),f11(a1,a3,a3))),f11(a1,f11(a1,a3,a3),f11(a1,a3,a3))),a3)), 4.99/4.98 inference(scs_inference,[],[250,88,84,225,1327,1324,1184,1193,478,129,9,3,2,21,22,197])). 4.99/4.98 cnf(1365,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),f6(a1,a3)),f6(a1,a3)),f11(a1,f6(a1,a3),f6(a1,a3)))), 4.99/4.98 inference(scs_inference,[],[250,88,84,225,240,1327,1324,1184,1193,478,129,9,3,2,21,22,197,205])). 4.99/4.98 cnf(1375,plain, 4.99/4.98 (~P9(a1,f11(a1,f7(a1),f6(a1,a3)),f6(a1,a3))), 4.99/4.98 inference(scs_inference,[],[250,88,84,225,240,232,660,1327,1324,1184,1193,478,129,9,3,2,21,22,197,205,188,185,203,172,183])). 4.99/4.98 cnf(1431,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),f8(a1,f6(a1,a3))),f8(a1,f6(a1,a3))),f2(a1))), 4.99/4.98 inference(scs_inference,[],[1359,172])). 4.99/4.98 cnf(1440,plain, 4.99/4.98 (~P9(a1,f10(a1,x14401),f2(a1))), 4.99/4.98 inference(rename_variables,[],[100])). 4.99/4.98 cnf(1445,plain, 4.99/4.98 (~E(f11(a1,f11(a1,f7(a1),x14451),x14451),f6(a1,a3))), 4.99/4.98 inference(scs_inference,[],[61,103,246,100,1440,559,1359,1363,1338,42,172,149,179,183,129,178,3])). 4.99/4.98 cnf(1448,plain, 4.99/4.98 (~E(f2(a4),f11(a4,f7(a4),f7(a4)))), 4.99/4.98 inference(scs_inference,[],[61,68,103,242,246,100,1440,1330,559,1359,1363,1338,42,172,149,179,183,129,178,3,20,2])). 4.99/4.98 cnf(1450,plain, 4.99/4.98 (~E(f7(a1),f6(a1,a3))), 4.99/4.98 inference(scs_inference,[],[61,229,68,103,242,74,246,100,1440,80,1330,559,1359,1363,1338,42,172,149,179,183,129,178,3,20,2,21,22])). 4.99/4.98 cnf(1456,plain, 4.99/4.98 (E(f11(a1,f11(a1,f11(a1,f11(a1,a3,f2(a1)),f11(a1,a3,f2(a1))),f11(a1,f11(a1,a3,f2(a1)),f11(a1,a3,f2(a1)))),f11(a1,f11(a1,f11(a1,a3,f2(a1)),f11(a1,a3,f2(a1))),f11(a1,f11(a1,a3,f2(a1)),f11(a1,a3,f2(a1))))),a3)), 4.99/4.98 inference(scs_inference,[],[61,229,68,103,242,74,246,100,1440,80,1330,1333,559,1359,1363,1338,1276,41,42,172,149,179,183,129,178,3,20,2,21,22,190,180,25,116])). 4.99/4.98 cnf(1469,plain, 4.99/4.98 (P9(a1,f11(a1,f6(a1,a3),f6(a1,a3)),f11(a1,f11(a1,f7(a1),f6(a1,a3)),f6(a1,a3)))), 4.99/4.98 inference(scs_inference,[],[45,105,1304,1456,1365,1230,1363,42,154,164,161,172,125,129])). 4.99/4.98 cnf(1494,plain, 4.99/4.98 (E(f11(a1,f6(a1,x14941),f6(a1,x14942)),f6(a1,f11(a1,x14941,x14942)))), 4.99/4.98 inference(rename_variables,[],[81])). 4.99/4.98 cnf(1499,plain, 4.99/4.98 (~E(f10(a1,f11(a4,f7(a4),f7(a4))),f2(a1))), 4.99/4.98 inference(scs_inference,[],[81,1494,251,225,1375,1445,565,1448,1469,1321,129,3,21,2,22,110])). 4.99/4.98 cnf(1518,plain, 4.99/4.98 (~P9(a1,f10(a1,x15181),f2(a1))), 4.99/4.98 inference(rename_variables,[],[100])). 4.99/4.98 cnf(1521,plain, 4.99/4.98 (~E(f11(a1,f7(a1),x15211),x15211)), 4.99/4.98 inference(rename_variables,[],[227])). 4.99/4.98 cnf(1534,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),f11(a1,f11(a1,f7(a1),f11(a1,a3,a3)),f11(a1,a3,a3))),f11(a1,f11(a1,f7(a1),f11(a1,a3,a3)),f11(a1,a3,a3))),a3)), 4.99/4.98 inference(scs_inference,[],[252,72,227,1521,244,71,100,1518,1499,1209,999,1084,1375,1191,129,178,3,20,21,2,22,205,185,197])). 4.99/4.98 cnf(1548,plain, 4.99/4.98 (~P9(a1,f11(a1,f11(a1,f7(a1),f11(a1,f11(a1,f7(a1),f8(a1,f6(a1,a3))),f8(a1,f6(a1,a3)))),f11(a1,f11(a1,f7(a1),f8(a1,f6(a1,a3))),f8(a1,f6(a1,a3)))),f2(a1))), 4.99/4.98 inference(scs_inference,[],[252,72,235,227,1521,244,71,100,1518,1431,1499,1209,999,1084,1213,1375,1191,129,178,3,20,21,2,22,205,185,197,140,145,203,188,209,175,199])). 4.99/4.98 cnf(1597,plain, 4.99/4.98 (~P9(a1,f8(a1,f11(a1,f7(a1),f10(a1,a5))),f6(a1,a3))), 4.99/4.98 inference(scs_inference,[],[86,236,103,225,242,1548,1026,183,129,3,21])). 4.99/4.98 cnf(1601,plain, 4.99/4.98 (~P9(a1,f6(a1,a3),f8(a1,f11(a1,f7(a1),f10(a1,a5))))), 4.99/4.98 inference(scs_inference,[],[86,69,236,103,225,244,242,1450,1331,1548,1026,183,129,3,21,20,2,22])). 4.99/4.98 cnf(1615,plain, 4.99/4.98 (~P9(a1,f6(a1,a3),f11(a1,f7(a1),f10(a1,a5)))), 4.99/4.98 inference(scs_inference,[],[1601,42,148])). 4.99/4.98 cnf(1651,plain, 4.99/4.98 ($false), 4.99/4.98 inference(scs_inference,[],[253,230,102,227,238,80,376,1597,1615,1601,1534,129,178,3,20,21]), 4.99/4.98 ['proof']). 4.99/4.98 % SZS output end Proof 4.99/4.98 % Total time :4.310000s 4.99/5.00 EOF