0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire -m 90000 --mode casc -t %d %s 0.03/0.24 % Computer : n153.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 06:06:54 CDT 2018 0.03/0.24 % CPUTime : 0.07/0.28 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.07/0.28 % remaining time: 5999 next slice time: 4 0.07/0.31 dis+1002_2_add=off:afr=on:afp=10000:afq=2.0:amm=off:anc=none:cond=on:er=filter:fsr=off:nm=0:nwc=1.3:sp=occurrence_2 on theBenchmark 0.59/0.81 % (7342)Time limit reached! 0.59/0.81 % ------------------------------ 0.59/0.81 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.59/0.81 % Termination reason: Time limit 0.59/0.81 % Termination phase: Saturation 0.59/0.81 0.59/0.81 % Memory used [KB]: 18933 0.59/0.81 % Time elapsed: 0.500 s 0.59/0.81 % ------------------------------ 0.59/0.81 % ------------------------------ 0.59/0.81 % remaining time: 5994 next slice time: 4 0.59/0.81 lrs+10_1_av=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=5.0:sos=on:sp=reverse_arity_2 on theBenchmark 0.62/0.83 % Refutation not found, incomplete strategy 0.62/0.83 % ------------------------------ 0.62/0.83 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.62/0.83 % Termination reason: Refutation not found, incomplete strategy 0.62/0.83 0.62/0.83 % Memory used [KB]: 3709 0.62/0.83 % Time elapsed: 0.022 s 0.62/0.83 % ------------------------------ 0.62/0.83 % ------------------------------ 0.62/0.83 % remaining time: 5994 next slice time: 10 0.62/0.84 dis+1010_10_afr=on:afp=100000:afq=2.0:amm=sco:anc=none:ep=RS:fde=unused:gs=on:nwc=1:sos=on:sac=on:sp=occurrence_9 on theBenchmark 1.74/1.93 % (7344)Time limit reached! 1.74/1.93 % ------------------------------ 1.74/1.93 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.74/1.93 % Termination reason: Time limit 1.74/1.93 % Termination phase: Saturation 1.74/1.93 1.74/1.93 % Memory used [KB]: 29551 1.74/1.93 % Time elapsed: 1.100 s 1.74/1.93 % ------------------------------ 1.74/1.93 % ------------------------------ 1.74/1.94 % remaining time: 5983 next slice time: 4 1.74/1.94 dis+11_2_add=large:afr=on:anc=none:gs=on:gsem=on:lwlo=on:nm=16:nwc=1:sd=1:ss=axioms:st=3.0:sos=on_2 on theBenchmark 1.74/1.96 % Refutation not found, incomplete strategy 1.74/1.96 % ------------------------------ 1.74/1.96 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.74/1.96 % Termination reason: Refutation not found, incomplete strategy 1.74/1.96 1.74/1.96 % Memory used [KB]: 11769 1.74/1.96 % Time elapsed: 0.019 s 1.74/1.96 % ------------------------------ 1.74/1.96 % ------------------------------ 1.74/1.96 % remaining time: 5982 next slice time: 6 1.74/1.96 dis+11_3_av=off:fsr=off:lcm=predicate:lma=on:nm=4:nwc=1:sd=3:ss=axioms:st=1.2:sos=on:updr=off_4 on theBenchmark 1.74/1.98 % Refutation not found, incomplete strategy 1.74/1.98 % ------------------------------ 1.74/1.98 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.74/1.98 % Termination reason: Refutation not found, incomplete strategy 1.74/1.98 1.74/1.98 % Memory used [KB]: 2814 1.74/1.98 % Time elapsed: 0.020 s 1.74/1.98 % ------------------------------ 1.74/1.98 % ------------------------------ 1.77/1.98 % remaining time: 5982 next slice time: 35 1.77/1.98 ott+11_8:1_acc=model:afp=1000:afq=1.0:anc=none:bd=off:bsr=on:cond=on:gs=on:gsem=off:irw=on:lma=on:nm=16:nwc=1.5:sac=on:sp=occurrence:urr=on_33 on theBenchmark 4.58/4.81 % Refutation found. Thanks to Tanya! 4.58/4.81 % SZS status Theorem for theBenchmark 4.58/4.81 % SZS output start Proof for theBenchmark 4.58/4.81 fof(f2,axiom,( 4.58/4.81 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal)), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le)). 4.58/4.81 fof(f4,axiom,( 4.58/4.81 ! [X4] : (? [X5] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,X5)),X4) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X5),v_r)) <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X4))), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_s1)). 4.58/4.81 fof(f15,axiom,( 4.58/4.81 ! [X7,X0,X1] : (class_Rings_Ocomm__semiring__1(X1) => c_Groups_Oplus__class_Oplus(X1,X0,X7) = c_Groups_Oplus__class_Oplus(X1,X7,X0))), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J)). 4.58/4.81 fof(f41,axiom,( 4.58/4.81 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector)). 4.58/4.81 fof(f49,axiom,( 4.58/4.81 ! [X31,X32] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X32,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X31)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X32,X31)), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__divide__def)). 4.58/4.81 fof(f75,axiom,( 4.58/4.81 ! [X38,X1] : (class_RealVector_Oreal__normed__vector(X1) => c_RealVector_Onorm__class_Onorm(X1,X38) = c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ouminus__class_Ouminus(X1,X38)))), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__minus__cancel)). 4.58/4.81 fof(f80,axiom,( 4.58/4.81 ! [X39,X27,X28] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X28,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X27,X39)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X28,X27),X39)), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__assoc)). 4.58/4.81 fof(f187,axiom,( 4.58/4.81 ! [X44] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X44) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X44)), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__norm__def)). 4.58/4.81 fof(f193,axiom,( 4.58/4.81 ! [X35,X44] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X44,X35) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X44,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X35))), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__diff__def)). 4.58/4.81 fof(f204,axiom,( 4.58/4.81 ! [X9] : c_Int_OBit1(X9) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X9),X9)), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Bit1__def)). 4.58/4.81 fof(f230,axiom,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))))), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096abs_A_Icmod_A_Ipoly_Ap_A_Ig_A_If_A_IN1_A_L_AN2_J_J_J_J_A_N_A_N_As_J_A_060_A1_A_P_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_096)). 4.58/4.81 fof(f302,axiom,( 4.58/4.81 ! [X37,X41,X38] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X38,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X41,X37)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X41,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X38,X37))), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__left__commute)). 4.58/4.81 fof(f324,axiom,( 4.58/4.81 ! [X6,X7,X8,X0,X1] : (class_Groups_Oordered__cancel__ab__semigroup__add(X1) => (c_Orderings_Oord__class_Oless(X1,X0,X8) => (c_Orderings_Oord__class_Oless(X1,X7,X6) => c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X0,X7),c_Groups_Oplus__class_Oplus(X1,X8,X6)))))), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__strict__mono)). 4.58/4.81 fof(f327,axiom,( 4.58/4.81 ! [X25] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X25) = c_Nat_OSuc(X25)), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__eq__plus1__left)). 4.58/4.81 fof(f332,axiom,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__0961_A_P_Areal_A_ISuc_A_IN1_A_L_AN2_J_J_A_060_Aabs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_A_P_A2_096)). 4.58/4.81 fof(f355,axiom,( 4.58/4.81 ! [X38,X1] : (class_RealVector_Oreal__normed__vector(X1) => ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X38),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__not__less__zero)). 4.58/4.81 fof(f446,axiom,( 4.58/4.81 class_Int_Onumber__ring(tc_RealDef_Oreal)), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Int_Onumber__ring)). 4.58/4.81 fof(f508,axiom,( 4.58/4.81 ! [X25] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X25),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X25))), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__Suc)). 4.58/4.81 fof(f650,axiom,( 4.58/4.81 ! [X0] : ((c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) => c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)) & (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = X0))), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__real__def)). 4.58/4.81 fof(f691,axiom,( 4.58/4.81 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1)). 4.58/4.81 fof(f741,axiom,( 4.58/4.81 ! [X41,X38] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X38,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X41))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X41,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X38)))), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__minus__add__cancel)). 4.58/4.81 fof(f760,axiom,( 4.58/4.81 class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal)), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add)). 4.58/4.81 fof(f771,axiom,( 4.58/4.81 ! [X9] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X9) = X9), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Pls)). 4.58/4.81 fof(f850,axiom,( 4.58/4.81 ! [X9] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X9,c_Int_OPls) = X9), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Pls__right)). 4.58/4.81 fof(f857,axiom,( 4.58/4.81 ! [X23,X37] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X23,X37) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X37,X23)), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__commute)). 4.58/4.81 fof(f862,axiom,( 4.58/4.81 ! [X8,X0,X7,X1] : (class_Groups_Oordered__ab__semigroup__add__imp__le(X1) => (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X7,X0),c_Groups_Oplus__class_Oplus(X1,X7,X8)) => c_Orderings_Oord__class_Oless(X1,X0,X8)))), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__less__imp__less__left)). 4.58/4.81 fof(f921,axiom,( 4.58/4.81 ! [X37] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X37) = X37), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__1)). 4.58/4.81 fof(f939,axiom,( 4.58/4.81 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal)), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__vector)). 4.58/4.81 fof(f996,conjecture,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)). 4.58/4.81 fof(f997,negated_conjecture,( 4.58/4.81 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), 4.58/4.81 inference(negated_conjecture,[],[f996])). 4.58/4.81 fof(f1133,axiom,( 4.58/4.81 ! [X9] : c_Int_OBit0(X9) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X9,X9)), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Bit0__def)). 4.58/4.81 fof(f1138,axiom,( 4.58/4.81 ! [X1] : (class_Int_Onumber__ring(X1) => c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1)))), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_one__add__one__is__two)). 4.58/4.81 fof(f1166,axiom,( 4.58/4.81 ! [X23,X1] : (class_Int_Onumber__ring(X1) => c_Groups_Otimes__class_Otimes(X1,c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1)),c_Int_Onumber__class_Onumber__of(X1,X23)) = c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(X23)))), 4.58/4.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_double__number__of__Bit0)). 4.58/4.81 fof(f1173,plain,( 4.58/4.81 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), 4.58/4.81 inference(flattening,[],[f997])). 4.58/4.81 fof(f1203,plain,( 4.58/4.81 ! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls) = X0), 4.58/4.81 inference(rectify,[],[f850])). 4.58/4.81 fof(f1204,plain,( 4.58/4.81 ! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X0) = X0), 4.58/4.81 inference(rectify,[],[f771])). 4.58/4.81 fof(f1210,plain,( 4.58/4.81 ! [X0] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) = X0), 4.58/4.81 inference(rectify,[],[f921])). 4.58/4.81 fof(f1220,plain,( 4.58/4.81 ! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)), 4.58/4.81 inference(rectify,[],[f187])). 4.58/4.81 fof(f1221,plain,( 4.58/4.81 ! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0)), 4.58/4.81 inference(rectify,[],[f1133])). 4.58/4.81 fof(f1228,plain,( 4.58/4.81 ! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0) = c_Nat_OSuc(X0)), 4.58/4.81 inference(rectify,[],[f327])). 4.58/4.81 fof(f1241,plain,( 4.58/4.81 ! [X0] : c_Int_OBit1(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0)), 4.58/4.81 inference(rectify,[],[f204])). 4.58/4.81 fof(f1244,plain,( 4.58/4.81 ! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X0))), 4.58/4.81 inference(rectify,[],[f508])). 4.58/4.81 fof(f1272,plain,( 4.58/4.81 ! [X0] : (class_Int_Onumber__ring(X0) => c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)))), 4.58/4.81 inference(rectify,[],[f1138])). 4.58/4.81 fof(f1323,plain,( 4.58/4.81 ! [X0] : (? [X1] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,X1)),X0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)) <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X0))), 4.58/4.81 inference(rectify,[],[f4])). 4.58/4.81 fof(f1341,plain,( 4.58/4.81 ! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)), 4.58/4.81 inference(rectify,[],[f857])). 4.58/4.81 fof(f1345,plain,( 4.58/4.81 ! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X0) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0))), 4.58/4.81 inference(rectify,[],[f193])). 4.58/4.81 fof(f1347,plain,( 4.58/4.81 ! [X0,X1] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0)), 4.58/4.81 inference(rectify,[],[f49])). 4.58/4.81 fof(f1376,plain,( 4.58/4.81 ! [X0,X1] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)))), 4.58/4.81 inference(rectify,[],[f741])). 4.58/4.81 fof(f1414,plain,( 4.58/4.81 ! [X0,X1] : (class_RealVector_Oreal__normed__vector(X1) => ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))), 4.58/4.81 inference(rectify,[],[f355])). 4.58/4.81 fof(f1419,plain,( 4.58/4.81 ! [X0,X1] : (class_RealVector_Oreal__normed__vector(X1) => c_RealVector_Onorm__class_Onorm(X1,X0) = c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ouminus__class_Ouminus(X1,X0)))), 4.58/4.81 inference(rectify,[],[f75])). 4.58/4.81 fof(f1441,plain,( 4.58/4.81 ! [X0,X1] : (class_Int_Onumber__ring(X1) => c_Groups_Otimes__class_Otimes(X1,c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1)),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(X0)))), 4.58/4.81 inference(rectify,[],[f1166])). 4.58/4.81 fof(f1590,plain,( 4.58/4.81 ! [X0,X1,X2] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X0)), 4.58/4.81 inference(rectify,[],[f80])). 4.58/4.81 fof(f1598,plain,( 4.58/4.81 ! [X0,X1,X2] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0))), 4.58/4.81 inference(rectify,[],[f302])). 4.58/4.81 fof(f1762,plain,( 4.58/4.81 ! [X0,X1,X2] : (class_Rings_Ocomm__semiring__1(X2) => c_Groups_Oplus__class_Oplus(X2,X0,X1) = c_Groups_Oplus__class_Oplus(X2,X1,X0))), 4.58/4.81 inference(rectify,[],[f15])). 4.58/4.81 fof(f1928,plain,( 4.58/4.81 ! [X0,X1,X2,X3] : (class_Groups_Oordered__ab__semigroup__add__imp__le(X3) => (c_Orderings_Oord__class_Oless(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),c_Groups_Oplus__class_Oplus(X3,X2,X0)) => c_Orderings_Oord__class_Oless(X3,X1,X0)))), 4.58/4.81 inference(rectify,[],[f862])). 4.58/4.81 fof(f2007,plain,( 4.58/4.81 ! [X0,X1,X2,X3,X4] : (class_Groups_Oordered__cancel__ab__semigroup__add(X4) => (c_Orderings_Oord__class_Oless(X4,X3,X2) => (c_Orderings_Oord__class_Oless(X4,X1,X0) => c_Orderings_Oord__class_Oless(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0)))))), 4.58/4.81 inference(rectify,[],[f324])). 4.58/4.81 fof(f2053,plain,( 4.58/4.81 ! [X0] : ((c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) & (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = X0 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))))), 4.58/4.81 inference(ennf_transformation,[],[f650])). 4.58/4.81 fof(f2073,plain,( 4.58/4.81 ! [X0] : (c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)) | ~class_Int_Onumber__ring(X0))), 4.58/4.81 inference(ennf_transformation,[],[f1272])). 4.58/4.81 fof(f2158,plain,( 4.58/4.81 ! [X0,X1] : (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~class_RealVector_Oreal__normed__vector(X1))), 4.58/4.81 inference(ennf_transformation,[],[f1414])). 4.58/4.81 fof(f2164,plain,( 4.58/4.81 ! [X0,X1] : (c_RealVector_Onorm__class_Onorm(X1,X0) = c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ouminus__class_Ouminus(X1,X0)) | ~class_RealVector_Oreal__normed__vector(X1))), 4.58/4.81 inference(ennf_transformation,[],[f1419])). 4.58/4.81 fof(f2234,plain,( 4.58/4.81 ! [X0,X1] : (c_Groups_Otimes__class_Otimes(X1,c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1)),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(X0)) | ~class_Int_Onumber__ring(X1))), 4.58/4.81 inference(ennf_transformation,[],[f1441])). 4.58/4.81 fof(f2579,plain,( 4.58/4.81 ! [X0,X1,X2] : (c_Groups_Oplus__class_Oplus(X2,X0,X1) = c_Groups_Oplus__class_Oplus(X2,X1,X0) | ~class_Rings_Ocomm__semiring__1(X2))), 4.58/4.81 inference(ennf_transformation,[],[f1762])). 4.58/4.81 fof(f2810,plain,( 4.58/4.81 ! [X0,X1,X2,X3] : ((c_Orderings_Oord__class_Oless(X3,X1,X0) | ~c_Orderings_Oord__class_Oless(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),c_Groups_Oplus__class_Oplus(X3,X2,X0))) | ~class_Groups_Oordered__ab__semigroup__add__imp__le(X3))), 4.58/4.81 inference(ennf_transformation,[],[f1928])). 4.58/4.81 fof(f2811,plain,( 4.58/4.81 ! [X0,X1,X2,X3] : (c_Orderings_Oord__class_Oless(X3,X1,X0) | ~c_Orderings_Oord__class_Oless(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),c_Groups_Oplus__class_Oplus(X3,X2,X0)) | ~class_Groups_Oordered__ab__semigroup__add__imp__le(X3))), 4.58/4.81 inference(flattening,[],[f2810])). 4.58/4.81 fof(f2943,plain,( 4.58/4.81 ! [X0,X1,X2,X3,X4] : (((c_Orderings_Oord__class_Oless(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0)) | ~c_Orderings_Oord__class_Oless(X4,X1,X0)) | ~c_Orderings_Oord__class_Oless(X4,X3,X2)) | ~class_Groups_Oordered__cancel__ab__semigroup__add(X4))), 4.58/4.81 inference(ennf_transformation,[],[f2007])). 4.58/4.81 fof(f2944,plain,( 4.58/4.81 ! [X0,X1,X2,X3,X4] : (c_Orderings_Oord__class_Oless(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0)) | ~c_Orderings_Oord__class_Oless(X4,X1,X0) | ~c_Orderings_Oord__class_Oless(X4,X3,X2) | ~class_Groups_Oordered__cancel__ab__semigroup__add(X4))), 4.58/4.81 inference(flattening,[],[f2943])). 4.58/4.81 fof(f3053,plain,( 4.58/4.81 ! [X0] : ((? [X1] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,X1)),X0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X0)) & (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X0) | ! [X1] : (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,X1)),X0) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r))))), 4.58/4.81 inference(nnf_transformation,[],[f1323])). 4.58/4.81 fof(f3054,plain,( 4.58/4.81 ! [X0] : ((? [X1] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,X1)),X0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X0)) & (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X0) | ! [X2] : (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,X2)),X0) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2),v_r))))), 4.58/4.81 inference(rectify,[],[f3053])). 4.58/4.81 fof(f3055,plain,( 4.58/4.81 ! [X0] : (? [X1] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,X1)),X0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)) => (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,sK13(X0))),X0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sK13(X0)),v_r)))), 4.58/4.81 introduced(choice_axiom,[])). 4.58/4.81 fof(f3056,plain,( 4.58/4.81 ! [X0] : (((c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,sK13(X0))),X0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sK13(X0)),v_r)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X0)) & (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X0) | ! [X2] : (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,X2)),X0) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X2),v_r))))), 4.58/4.81 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f3054,f3055])). 4.58/4.81 fof(f3427,plain,( 4.58/4.81 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), 4.58/4.81 inference(cnf_transformation,[],[f1173])). 4.58/4.81 fof(f3464,plain,( 4.58/4.81 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)), 4.58/4.81 inference(cnf_transformation,[],[f41])). 4.58/4.81 fof(f3466,plain,( 4.58/4.81 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal)), 4.58/4.81 inference(cnf_transformation,[],[f939])). 4.58/4.81 fof(f3509,plain,( 4.58/4.81 class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal)), 4.58/4.81 inference(cnf_transformation,[],[f760])). 4.58/4.81 fof(f3519,plain,( 4.58/4.81 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal)), 4.58/4.81 inference(cnf_transformation,[],[f2])). 4.58/4.81 fof(f3533,plain,( 4.58/4.81 class_Int_Onumber__ring(tc_RealDef_Oreal)), 4.58/4.81 inference(cnf_transformation,[],[f446])). 4.58/4.81 fof(f3597,plain,( 4.58/4.81 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)), 4.58/4.81 inference(cnf_transformation,[],[f691])). 4.58/4.81 fof(f3650,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))))), 4.58/4.81 inference(cnf_transformation,[],[f230])). 4.58/4.81 fof(f3652,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), 4.58/4.81 inference(cnf_transformation,[],[f332])). 4.58/4.81 fof(f3690,plain,( 4.58/4.81 ( ! [X0] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls) = X0) )), 4.58/4.81 inference(cnf_transformation,[],[f1203])). 4.58/4.81 fof(f3691,plain,( 4.58/4.81 ( ! [X0] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X0) = X0) )), 4.58/4.81 inference(cnf_transformation,[],[f1204])). 4.58/4.81 fof(f3697,plain,( 4.58/4.81 ( ! [X0] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) = X0) )), 4.58/4.81 inference(cnf_transformation,[],[f1210])). 4.58/4.81 fof(f3707,plain,( 4.58/4.81 ( ! [X0] : (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)) )), 4.58/4.81 inference(cnf_transformation,[],[f1220])). 4.58/4.81 fof(f3708,plain,( 4.58/4.81 ( ! [X0] : (c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0)) )), 4.58/4.81 inference(cnf_transformation,[],[f1221])). 4.58/4.81 fof(f3715,plain,( 4.58/4.81 ( ! [X0] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0) = c_Nat_OSuc(X0)) )), 4.58/4.81 inference(cnf_transformation,[],[f1228])). 4.58/4.81 fof(f3728,plain,( 4.58/4.81 ( ! [X0] : (c_Int_OBit1(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0)) )), 4.58/4.81 inference(cnf_transformation,[],[f1241])). 4.58/4.81 fof(f3731,plain,( 4.58/4.81 ( ! [X0] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X0))) )), 4.58/4.81 inference(cnf_transformation,[],[f1244])). 4.58/4.81 fof(f3740,plain,( 4.58/4.81 ( ! [X0] : (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = X0 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) )), 4.58/4.81 inference(cnf_transformation,[],[f2053])). 4.58/4.81 fof(f3763,plain,( 4.58/4.81 ( ! [X0] : (c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)) | ~class_Int_Onumber__ring(X0)) )), 4.58/4.81 inference(cnf_transformation,[],[f2073])). 4.58/4.81 fof(f3851,plain,( 4.58/4.81 ( ! [X0] : (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),X0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,sK13(X0))),X0)) )), 4.58/4.81 inference(cnf_transformation,[],[f3056])). 4.58/4.81 fof(f3871,plain,( 4.58/4.81 ( ! [X0,X1] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) )), 4.58/4.81 inference(cnf_transformation,[],[f1341])). 4.58/4.81 fof(f3875,plain,( 4.58/4.81 ( ! [X0,X1] : (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X0) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0))) )), 4.58/4.81 inference(cnf_transformation,[],[f1345])). 4.58/4.81 fof(f3877,plain,( 4.58/4.81 ( ! [X0,X1] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X0)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0)) )), 4.58/4.81 inference(cnf_transformation,[],[f1347])). 4.58/4.81 fof(f3906,plain,( 4.58/4.81 ( ! [X0,X1] : (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)))) )), 4.58/4.81 inference(cnf_transformation,[],[f1376])). 4.58/4.81 fof(f3997,plain,( 4.58/4.81 ( ! [X0,X1] : (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~class_RealVector_Oreal__normed__vector(X1)) )), 4.58/4.81 inference(cnf_transformation,[],[f2158])). 4.58/4.81 fof(f4003,plain,( 4.58/4.81 ( ! [X0,X1] : (~class_RealVector_Oreal__normed__vector(X1) | c_RealVector_Onorm__class_Onorm(X1,X0) = c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ouminus__class_Ouminus(X1,X0))) )), 4.58/4.81 inference(cnf_transformation,[],[f2164])). 4.58/4.81 fof(f4078,plain,( 4.58/4.81 ( ! [X0,X1] : (c_Groups_Otimes__class_Otimes(X1,c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1)),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit0(X0)) | ~class_Int_Onumber__ring(X1)) )), 4.58/4.81 inference(cnf_transformation,[],[f2234])). 4.58/4.81 fof(f4367,plain,( 4.58/4.81 ( ! [X2,X0,X1] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X0)) )), 4.58/4.81 inference(cnf_transformation,[],[f1590])). 4.58/4.81 fof(f4375,plain,( 4.58/4.81 ( ! [X2,X0,X1] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0))) )), 4.58/4.81 inference(cnf_transformation,[],[f1598])). 4.58/4.81 fof(f4608,plain,( 4.58/4.81 ( ! [X2,X0,X1] : (~class_Rings_Ocomm__semiring__1(X2) | c_Groups_Oplus__class_Oplus(X2,X0,X1) = c_Groups_Oplus__class_Oplus(X2,X1,X0)) )), 4.58/4.81 inference(cnf_transformation,[],[f2579])). 4.58/4.81 fof(f4918,plain,( 4.58/4.81 ( ! [X2,X0,X3,X1] : (~class_Groups_Oordered__ab__semigroup__add__imp__le(X3) | ~c_Orderings_Oord__class_Oless(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),c_Groups_Oplus__class_Oplus(X3,X2,X0)) | c_Orderings_Oord__class_Oless(X3,X1,X0)) )), 4.58/4.81 inference(cnf_transformation,[],[f2811])). 4.58/4.81 fof(f5122,plain,( 4.58/4.81 ( ! [X4,X2,X0,X3,X1] : (~class_Groups_Oordered__cancel__ab__semigroup__add(X4) | ~c_Orderings_Oord__class_Oless(X4,X1,X0) | ~c_Orderings_Oord__class_Oless(X4,X3,X2) | c_Orderings_Oord__class_Oless(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0))) )), 4.58/4.81 inference(cnf_transformation,[],[f2944])). 4.58/4.81 fof(f5176,plain,( 4.58/4.81 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))), 4.58/4.81 inference(definition_unfolding,[],[f3427,f3708,f3728])). 4.58/4.81 fof(f5197,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))))), 4.58/4.81 inference(definition_unfolding,[],[f3650,f3715])). 4.58/4.81 fof(f5199,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))), 4.58/4.81 inference(definition_unfolding,[],[f3652,f3715,f3708,f3728])). 4.58/4.81 fof(f5224,plain,( 4.58/4.81 ( ! [X0] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0))) )), 4.58/4.81 inference(definition_unfolding,[],[f3731,f3715])). 4.58/4.81 fof(f5234,plain,( 4.58/4.81 ( ! [X0] : (c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)) | ~class_Int_Onumber__ring(X0)) )), 4.58/4.81 inference(definition_unfolding,[],[f3763,f3708,f3728])). 4.58/4.81 fof(f5315,plain,( 4.58/4.81 ( ! [X0,X1] : (~class_Int_Onumber__ring(X1) | c_Groups_Otimes__class_Otimes(X1,c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1)),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0))) )), 4.58/4.81 inference(definition_unfolding,[],[f4078,f3708])). 4.58/4.81 fof(f5679,plain,( 4.58/4.81 ( ! [X0] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = X0) )), 4.58/4.81 inference(forward_demodulation,[],[f3740,f3707])). 4.58/4.81 fof(f5688,plain,( 4.58/4.81 ( ! [X0] : (c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls))) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)) | ~class_Int_Onumber__ring(X0)) )), 4.58/4.81 inference(forward_demodulation,[],[f5234,f3690])). 4.58/4.81 fof(f5689,plain,( 4.58/4.81 ( ! [X0] : (~class_Int_Onumber__ring(X0) | c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0))) )), 4.58/4.81 inference(forward_demodulation,[],[f5688,f3690])). 4.58/4.81 fof(f5753,plain,( 4.58/4.81 ( ! [X0,X1] : (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)))) )), 4.58/4.81 inference(forward_demodulation,[],[f3906,f3707])). 4.58/4.81 fof(f5754,plain,( 4.58/4.81 ( ! [X0,X1] : (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1))) )), 4.58/4.81 inference(forward_demodulation,[],[f5753,f3875])). 4.58/4.81 fof(f5755,plain,( 4.58/4.81 ( ! [X0,X1] : (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)))) )), 4.58/4.81 inference(forward_demodulation,[],[f5754,f3707])). 4.58/4.81 fof(f5756,plain,( 4.58/4.81 ( ! [X0,X1] : (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X0))) )), 4.58/4.81 inference(forward_demodulation,[],[f5755,f3875])). 4.58/4.81 fof(f6276,plain,( 4.58/4.81 spl35_72 <=> class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)), 4.58/4.81 introduced(avatar_definition,[new_symbols(naming,[spl35_72])])). 4.58/4.81 fof(f6277,plain,( 4.58/4.81 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) | ~spl35_72), 4.58/4.81 inference(avatar_component_clause,[],[f6276])). 4.58/4.81 fof(f6278,plain,( 4.58/4.81 spl35_72), 4.58/4.81 inference(avatar_split_clause,[],[f3464,f6276])). 4.58/4.81 fof(f6290,plain,( 4.58/4.81 spl35_76 <=> class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal)), 4.58/4.81 introduced(avatar_definition,[new_symbols(naming,[spl35_76])])). 4.58/4.81 fof(f6291,plain,( 4.58/4.81 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) | ~spl35_76), 4.58/4.81 inference(avatar_component_clause,[],[f6290])). 4.58/4.81 fof(f6292,plain,( 4.58/4.81 spl35_76), 4.58/4.81 inference(avatar_split_clause,[],[f3466,f6290])). 4.58/4.81 fof(f6591,plain,( 4.58/4.81 spl35_162 <=> class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal)), 4.58/4.81 introduced(avatar_definition,[new_symbols(naming,[spl35_162])])). 4.58/4.81 fof(f6592,plain,( 4.58/4.81 class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) | ~spl35_162), 4.58/4.81 inference(avatar_component_clause,[],[f6591])). 4.58/4.81 fof(f6593,plain,( 4.58/4.81 spl35_162), 4.58/4.81 inference(avatar_split_clause,[],[f3509,f6591])). 4.58/4.81 fof(f6661,plain,( 4.58/4.81 spl35_182 <=> class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal)), 4.58/4.81 introduced(avatar_definition,[new_symbols(naming,[spl35_182])])). 4.58/4.81 fof(f6662,plain,( 4.58/4.81 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) | ~spl35_182), 4.58/4.81 inference(avatar_component_clause,[],[f6661])). 4.58/4.81 fof(f6663,plain,( 4.58/4.81 spl35_182), 4.58/4.81 inference(avatar_split_clause,[],[f3519,f6661])). 4.58/4.81 fof(f6759,plain,( 4.58/4.81 spl35_210 <=> class_Int_Onumber__ring(tc_RealDef_Oreal)), 4.58/4.81 introduced(avatar_definition,[new_symbols(naming,[spl35_210])])). 4.58/4.81 fof(f6760,plain,( 4.58/4.81 class_Int_Onumber__ring(tc_RealDef_Oreal) | ~spl35_210), 4.58/4.81 inference(avatar_component_clause,[],[f6759])). 4.58/4.81 fof(f6761,plain,( 4.58/4.81 spl35_210), 4.58/4.81 inference(avatar_split_clause,[],[f3533,f6759])). 4.58/4.81 fof(f7207,plain,( 4.58/4.81 spl35_338 <=> class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)), 4.58/4.81 introduced(avatar_definition,[new_symbols(naming,[spl35_338])])). 4.58/4.81 fof(f7208,plain,( 4.58/4.81 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) | ~spl35_338), 4.58/4.81 inference(avatar_component_clause,[],[f7207])). 4.58/4.81 fof(f7209,plain,( 4.58/4.81 spl35_338), 4.58/4.81 inference(avatar_split_clause,[],[f3597,f7207])). 4.58/4.81 fof(f7692,plain,( 4.58/4.81 ( ! [X0] : (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ) | ~spl35_72), 4.58/4.81 inference(unit_resulting_resolution,[],[f6277,f3997])). 4.58/4.81 fof(f8212,plain,( 4.58/4.81 ( ! [X2] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X2)) )), 4.58/4.81 inference(superposition,[],[f3877,f3697])). 4.58/4.81 fof(f8248,plain,( 4.58/4.81 ( ! [X0] : (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0))) ) | ~spl35_76), 4.58/4.81 inference(unit_resulting_resolution,[],[f6291,f4003])). 4.58/4.81 fof(f8588,plain,( 4.58/4.81 ( ! [X0,X1] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X0)) ) | ~spl35_338), 4.58/4.81 inference(unit_resulting_resolution,[],[f7208,f4608])). 4.58/4.81 fof(f13521,plain,( 4.58/4.81 ( ! [X6,X7,X5] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint,X5,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X6,X7)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X7,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X5,X6))) )), 4.58/4.81 inference(superposition,[],[f4367,f3871])). 4.58/4.81 fof(f15464,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,sK13(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)), 4.58/4.81 inference(resolution,[],[f3851,f5679])). 4.58/4.81 fof(f15465,plain,( 4.58/4.81 c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____) | ~spl35_72), 4.58/4.81 inference(subsumption_resolution,[],[f15464,f7692])). 4.58/4.81 fof(f15466,plain,( 4.58/4.81 c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____) | (~spl35_72 | ~spl35_76)), 4.58/4.81 inference(forward_demodulation,[],[f15465,f8248])). 4.58/4.81 fof(f19238,plain,( 4.58/4.81 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | ~spl35_210), 4.58/4.81 inference(unit_resulting_resolution,[],[f6760,f5689])). 4.58/4.81 fof(f37177,plain,( 4.58/4.81 ( ! [X0] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,X0)) = c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0))) ) | ~spl35_210), 4.58/4.81 inference(unit_resulting_resolution,[],[f6760,f5315])). 4.58/4.81 fof(f102824,plain,( 4.58/4.81 spl35_562 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))))), 4.58/4.81 introduced(avatar_definition,[new_symbols(naming,[spl35_562])])). 4.58/4.81 fof(f102825,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))) | ~spl35_562), 4.58/4.81 inference(avatar_component_clause,[],[f102824])). 4.58/4.81 fof(f102826,plain,( 4.58/4.81 spl35_562), 4.58/4.81 inference(avatar_split_clause,[],[f5197,f102824])). 4.58/4.81 fof(f102827,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))) | ~spl35_562), 4.58/4.81 inference(forward_demodulation,[],[f102825,f8212])). 4.58/4.81 fof(f102828,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) | ~spl35_562), 4.58/4.81 inference(forward_demodulation,[],[f102827,f5224])). 4.58/4.81 fof(f102829,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))) | (~spl35_338 | ~spl35_562)), 4.58/4.81 inference(forward_demodulation,[],[f102828,f8588])). 4.58/4.81 fof(f102830,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))) | (~spl35_338 | ~spl35_562)), 4.58/4.81 inference(forward_demodulation,[],[f102829,f3707])). 4.58/4.81 fof(f102831,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))) | (~spl35_338 | ~spl35_562)), 4.58/4.81 inference(forward_demodulation,[],[f102830,f5756])). 4.58/4.81 fof(f102832,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))) | (~spl35_72 | ~spl35_76 | ~spl35_338 | ~spl35_562)), 4.58/4.81 inference(forward_demodulation,[],[f102831,f15466])). 4.58/4.81 fof(f102837,plain,( 4.58/4.81 spl35_564 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))))), 4.58/4.81 introduced(avatar_definition,[new_symbols(naming,[spl35_564])])). 4.58/4.81 fof(f102838,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))) | ~spl35_564), 4.58/4.81 inference(avatar_component_clause,[],[f102837])). 4.58/4.81 fof(f102839,plain,( 4.58/4.81 spl35_564 | ~spl35_72 | ~spl35_76 | ~spl35_338 | ~spl35_562), 4.58/4.81 inference(avatar_split_clause,[],[f102832,f102824,f7207,f6290,f6276,f102837])). 4.58/4.81 fof(f105655,plain,( 4.58/4.81 spl35_573 <=> ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))), 4.58/4.81 introduced(avatar_definition,[new_symbols(naming,[spl35_573])])). 4.58/4.81 fof(f105656,plain,( 4.58/4.81 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) | ~spl35_573), 4.58/4.81 inference(avatar_component_clause,[],[f105655])). 4.58/4.81 fof(f105657,plain,( 4.58/4.81 ~spl35_573), 4.58/4.81 inference(avatar_split_clause,[],[f5176,f105655])). 4.58/4.81 fof(f105658,plain,( 4.58/4.81 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) | (~spl35_210 | ~spl35_573)), 4.58/4.81 inference(forward_demodulation,[],[f105656,f37177])). 4.58/4.81 fof(f105659,plain,( 4.58/4.81 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls))))) | (~spl35_210 | ~spl35_573)), 4.58/4.81 inference(forward_demodulation,[],[f105658,f3690])). 4.58/4.81 fof(f105660,plain,( 4.58/4.81 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls))))) | (~spl35_210 | ~spl35_573)), 4.58/4.81 inference(forward_demodulation,[],[f105659,f37177])). 4.58/4.81 fof(f105661,plain,( 4.58/4.81 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) | (~spl35_210 | ~spl35_573)), 4.58/4.81 inference(forward_demodulation,[],[f105660,f4375])). 4.58/4.81 fof(f105662,plain,( 4.58/4.81 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls)))))) | (~spl35_210 | ~spl35_573)), 4.58/4.81 inference(forward_demodulation,[],[f105661,f13521])). 4.58/4.81 fof(f105663,plain,( 4.58/4.81 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls))))) | (~spl35_210 | ~spl35_573)), 4.58/4.81 inference(forward_demodulation,[],[f105662,f3691])). 4.58/4.81 fof(f105664,plain,( 4.58/4.81 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))) | (~spl35_210 | ~spl35_573)), 4.58/4.81 inference(forward_demodulation,[],[f105663,f13521])). 4.58/4.81 fof(f105665,plain,( 4.58/4.81 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))) | (~spl35_210 | ~spl35_573)), 4.58/4.81 inference(forward_demodulation,[],[f105664,f3691])). 4.58/4.81 fof(f105666,plain,( 4.58/4.81 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) | (~spl35_210 | ~spl35_573)), 4.58/4.81 inference(forward_demodulation,[],[f105665,f19238])). 4.58/4.81 fof(f105667,plain,( 4.58/4.81 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) | (~spl35_210 | ~spl35_573)), 4.58/4.81 inference(forward_demodulation,[],[f105666,f3707])). 4.58/4.81 fof(f105668,plain,( 4.58/4.81 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) | (~spl35_210 | ~spl35_573)), 4.58/4.81 inference(forward_demodulation,[],[f105667,f5756])). 4.58/4.81 fof(f105669,plain,( 4.58/4.81 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) | (~spl35_72 | ~spl35_76 | ~spl35_210 | ~spl35_573)), 4.58/4.81 inference(forward_demodulation,[],[f105668,f15466])). 4.58/4.81 fof(f105670,plain,( 4.58/4.81 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) | (~spl35_72 | ~spl35_76 | ~spl35_210 | ~spl35_573)), 4.58/4.81 inference(forward_demodulation,[],[f105669,f3707])). 4.58/4.81 fof(f105671,plain,( 4.58/4.81 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) | (~spl35_72 | ~spl35_76 | ~spl35_210 | ~spl35_573)), 4.58/4.81 inference(forward_demodulation,[],[f105670,f5756])). 4.58/4.81 fof(f105676,plain,( 4.58/4.81 spl35_575 <=> ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))), 4.58/4.81 introduced(avatar_definition,[new_symbols(naming,[spl35_575])])). 4.58/4.81 fof(f105677,plain,( 4.58/4.81 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) | ~spl35_575), 4.58/4.81 inference(avatar_component_clause,[],[f105676])). 4.58/4.81 fof(f105678,plain,( 4.58/4.81 ~spl35_575 | ~spl35_72 | ~spl35_76 | ~spl35_210 | spl35_573), 4.58/4.81 inference(avatar_split_clause,[],[f105671,f105655,f6759,f6290,f6276,f105676])). 4.58/4.81 fof(f105964,plain,( 4.58/4.81 ( ! [X0] : (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))) ) | (~spl35_182 | ~spl35_575)), 4.58/4.81 inference(unit_resulting_resolution,[],[f6662,f105677,f4918])). 4.58/4.81 fof(f114466,plain,( 4.58/4.81 spl35_594 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))), 4.58/4.81 introduced(avatar_definition,[new_symbols(naming,[spl35_594])])). 4.58/4.81 fof(f114467,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) | ~spl35_594), 4.58/4.81 inference(avatar_component_clause,[],[f114466])). 4.58/4.81 fof(f114468,plain,( 4.58/4.81 spl35_594), 4.58/4.81 inference(avatar_split_clause,[],[f5199,f114466])). 4.58/4.81 fof(f114469,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) | (~spl35_210 | ~spl35_594)), 4.58/4.81 inference(forward_demodulation,[],[f114467,f37177])). 4.58/4.81 fof(f114470,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls))))) | (~spl35_210 | ~spl35_594)), 4.58/4.81 inference(forward_demodulation,[],[f114469,f3690])). 4.58/4.81 fof(f114471,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls))))) | (~spl35_210 | ~spl35_594)), 4.58/4.81 inference(forward_demodulation,[],[f114470,f37177])). 4.58/4.81 fof(f114472,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) | (~spl35_210 | ~spl35_594)), 4.58/4.81 inference(forward_demodulation,[],[f114471,f4375])). 4.58/4.81 fof(f114473,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls)))))) | (~spl35_210 | ~spl35_594)), 4.58/4.81 inference(forward_demodulation,[],[f114472,f13521])). 4.58/4.81 fof(f114474,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls))))) | (~spl35_210 | ~spl35_594)), 4.58/4.81 inference(forward_demodulation,[],[f114473,f3691])). 4.58/4.81 fof(f114475,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))) | (~spl35_210 | ~spl35_594)), 4.58/4.81 inference(forward_demodulation,[],[f114474,f13521])). 4.58/4.81 fof(f114476,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))) | (~spl35_210 | ~spl35_594)), 4.58/4.81 inference(forward_demodulation,[],[f114475,f3691])). 4.58/4.81 fof(f114477,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) | (~spl35_210 | ~spl35_594)), 4.58/4.81 inference(forward_demodulation,[],[f114476,f19238])). 4.58/4.81 fof(f114478,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) | (~spl35_210 | ~spl35_594)), 4.58/4.81 inference(forward_demodulation,[],[f114477,f3707])). 4.58/4.81 fof(f114479,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) | (~spl35_210 | ~spl35_594)), 4.58/4.81 inference(forward_demodulation,[],[f114478,f5756])). 4.58/4.81 fof(f114480,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) | (~spl35_72 | ~spl35_76 | ~spl35_210 | ~spl35_594)), 4.58/4.81 inference(forward_demodulation,[],[f114479,f15466])). 4.58/4.81 fof(f114481,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) | (~spl35_72 | ~spl35_76 | ~spl35_210 | ~spl35_594)), 4.58/4.81 inference(forward_demodulation,[],[f114480,f8212])). 4.58/4.81 fof(f114482,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) | (~spl35_72 | ~spl35_76 | ~spl35_210 | ~spl35_594)), 4.58/4.81 inference(forward_demodulation,[],[f114481,f5224])). 4.58/4.81 fof(f114483,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) | (~spl35_72 | ~spl35_76 | ~spl35_210 | ~spl35_338 | ~spl35_594)), 4.58/4.81 inference(forward_demodulation,[],[f114482,f8588])). 4.58/4.81 fof(f114488,plain,( 4.58/4.81 spl35_596 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))), 4.58/4.81 introduced(avatar_definition,[new_symbols(naming,[spl35_596])])). 4.58/4.81 fof(f114489,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) | ~spl35_596), 4.58/4.81 inference(avatar_component_clause,[],[f114488])). 4.58/4.81 fof(f114490,plain,( 4.58/4.81 spl35_596 | ~spl35_72 | ~spl35_76 | ~spl35_210 | ~spl35_338 | ~spl35_594), 4.58/4.81 inference(avatar_split_clause,[],[f114483,f114466,f7207,f6759,f6290,f6276,f114488])). 4.58/4.81 fof(f114642,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))))) | (~spl35_162 | ~spl35_564 | ~spl35_596)), 4.58/4.81 inference(unit_resulting_resolution,[],[f102838,f6592,f114489,f5122])). 4.58/4.81 fof(f114727,plain,( 4.58/4.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))) | (~spl35_162 | ~spl35_338 | ~spl35_564 | ~spl35_596)), 4.58/4.81 inference(forward_demodulation,[],[f114642,f8588])). 4.58/4.81 fof(f114728,plain,( 4.58/4.81 $false | (~spl35_162 | ~spl35_182 | ~spl35_338 | ~spl35_564 | ~spl35_575 | ~spl35_596)), 4.58/4.81 inference(subsumption_resolution,[],[f114727,f105964])). 4.58/4.81 fof(f114729,plain,( 4.58/4.81 ~spl35_162 | ~spl35_182 | ~spl35_338 | ~spl35_564 | spl35_575 | ~spl35_596), 4.58/4.81 inference(avatar_contradiction_clause,[],[f114728])). 4.58/4.81 fof(f114959,plain,( 4.58/4.81 $false), 4.58/4.81 inference(avatar_sat_refutation,[],[f6278,f6292,f6593,f6663,f6761,f7209,f102826,f102839,f105657,f105678,f114468,f114490,f114729])). 4.58/4.81 % SZS output end Proof for theBenchmark 4.58/4.81 % ------------------------------ 4.58/4.81 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 4.58/4.81 % Termination reason: Refutation 4.58/4.81 4.58/4.81 % Memory used [KB]: 72408 4.58/4.81 % Time elapsed: 2.828 s 4.58/4.81 % ------------------------------ 4.58/4.81 % ------------------------------ 4.58/4.82 % Success in time 4.573 s 4.66/4.82 EOF