0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.03/0.24 % Computer : n172.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 06:18:41 CDT 2018 0.03/0.25 % CPUTime : 0.08/0.32 % dis+11_8:1_afp=100000:afq=1.2:amm=off:anc=none:cond=on:gs=on:gsem=off:lcm=reverse:lma=on:nm=64:nwc=1:sd=1:ss=axioms:sp=occurrence:urr=on_11 on theBenchmark 1.72/1.92 % Time limit reached! 1.72/1.92 % ------------------------------ 1.72/1.92 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 1.72/1.92 % Termination reason: Time limit 1.72/1.92 % Termination phase: Saturation 1.72/1.92 1.72/1.92 % Memory used [KB]: 38123 1.72/1.92 % Time elapsed: 1.600 s 1.72/1.92 % ------------------------------ 1.72/1.92 % ------------------------------ 1.72/1.96 % dis-1_2:3_av=off:cond=on:fsr=off:irw=on:lma=on:nwc=3:sd=3:ss=axioms:st=3.0:sp=occurrence:updr=off_9 on theBenchmark 3.01/3.25 % Time limit reached! 3.01/3.25 % ------------------------------ 3.01/3.25 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.01/3.25 % Termination reason: Time limit 3.01/3.25 % Termination phase: Saturation 3.01/3.25 3.01/3.25 % Memory used [KB]: 31598 3.01/3.25 % Time elapsed: 1.300 s 3.01/3.25 % ------------------------------ 3.01/3.25 % ------------------------------ 3.10/3.29 % 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 3.12/3.31 % Refutation not found, incomplete strategy 3.12/3.31 % ------------------------------ 3.12/3.31 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.12/3.31 % Termination reason: Refutation not found, incomplete strategy 3.12/3.31 3.12/3.31 % Memory used [KB]: 12409 3.12/3.31 % Time elapsed: 0.017 s 3.12/3.31 % ------------------------------ 3.12/3.31 % ------------------------------ 3.13/3.34 % lrs+2_1_add=large:afp=100000:afq=1.0:amm=off:anc=none:bd=off:bs=unit_only:bsr=on:gsp=input_only:lma=on:lwlo=on:newcnf=on:nwc=1:stl=30:sos=theory:sp=reverse_arity:updr=off_10 on theBenchmark 4.65/4.84 % Time limit reached! 4.65/4.84 % ------------------------------ 4.65/4.84 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 4.65/4.84 % Termination reason: Time limit 4.65/4.84 % Termination phase: Saturation 4.65/4.84 4.65/4.84 % Memory used [KB]: 24050 4.65/4.84 % Time elapsed: 1.500 s 4.65/4.84 % ------------------------------ 4.65/4.84 % ------------------------------ 4.65/4.88 % lrs+1002_2:1_aac=none:afr=on:afp=1000:afq=1.2:anc=all:bd=preordered:bsr=on:cond=fast:gsp=input_only:gs=on:nm=0:nwc=2.5:nicw=on:sas=z3:stl=30:sd=4:ss=axioms:st=2.0:sos=on:sac=on:urr=on:updr=off:uhcvi=on_22 on theBenchmark 7.66/7.88 % Time limit reached! 7.66/7.88 % ------------------------------ 7.66/7.88 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 7.66/7.88 % Termination reason: Time limit 7.66/7.88 % Termination phase: Saturation 7.66/7.88 7.66/7.88 % Memory used [KB]: 67930 7.66/7.88 % Time elapsed: 3.0000 s 7.66/7.88 % ------------------------------ 7.66/7.88 % ------------------------------ 7.72/7.92 % dis+1002_8:1_av=off:br=off:cond=on:irw=on:lma=on:nm=32:nwc=1:sp=occurrence:urr=on_89 on theBenchmark 19.40/19.62 % Time limit reached! 19.40/19.62 % ------------------------------ 19.40/19.62 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 19.40/19.62 % Termination reason: Time limit 19.40/19.62 % Termination phase: Saturation 19.40/19.62 19.40/19.62 % Memory used [KB]: 184602 19.40/19.62 % Time elapsed: 11.700 s 19.40/19.62 % ------------------------------ 19.40/19.62 % ------------------------------ 19.50/19.66 % lrs+1_1_aac=none:acc=model:add=large:afp=100000:afq=1.2:anc=none:bd=off:bs=on:bsr=on:ccuc=first:cond=on:fde=unused:irw=on:nm=2:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:uhcvi=on_11 on theBenchmark 19.50/19.68 % Refutation not found, incomplete strategy 19.50/19.68 % ------------------------------ 19.50/19.68 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 19.50/19.68 % Termination reason: Refutation not found, incomplete strategy 19.50/19.68 19.50/19.68 % Memory used [KB]: 7291 19.50/19.68 % Time elapsed: 0.015 s 19.50/19.68 % ------------------------------ 19.50/19.68 % ------------------------------ 19.58/19.71 % dis+1010_3:2_acc=on:afr=on:afp=1000:afq=1.2:amm=sco:bs=on:ccuc=first:fde=none:nm=0:nwc=4:sd=3:ss=axioms:st=5.0:urr=ec_only_75 on theBenchmark 29.52/29.61 % Time limit reached! 29.52/29.61 % ------------------------------ 29.52/29.61 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 29.52/29.61 % Termination reason: Time limit 29.52/29.61 % Termination phase: Saturation 29.52/29.61 29.52/29.61 % Memory used [KB]: 216073 29.52/29.61 % Time elapsed: 9.900 s 29.52/29.61 % ------------------------------ 29.52/29.61 % ------------------------------ 29.52/29.66 % 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 29.52/29.67 % Refutation not found, incomplete strategy 29.52/29.67 % ------------------------------ 29.52/29.67 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 29.52/29.67 % Termination reason: Refutation not found, incomplete strategy 29.52/29.67 29.52/29.67 % Memory used [KB]: 2430 29.52/29.67 % Time elapsed: 0.015 s 29.52/29.67 % ------------------------------ 29.52/29.67 % ------------------------------ 29.63/29.71 % ott-3_3_av=off:cond=fast:fde=none:lcm=reverse:nm=6:nwc=1:sd=5:ss=axioms:st=2.0:sos=on:sp=reverse_arity:updr=off:uhcvi=on_88 on theBenchmark 29.65/29.72 % Refutation not found, incomplete strategy 29.65/29.72 % ------------------------------ 29.65/29.72 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 29.65/29.72 % Termination reason: Refutation not found, incomplete strategy 29.65/29.72 29.65/29.72 % Memory used [KB]: 2942 29.65/29.72 % Time elapsed: 0.017 s 29.65/29.72 % ------------------------------ 29.65/29.72 % ------------------------------ 29.65/29.76 % lrs+11_3_afr=on:afp=10000:afq=1.0:cond=fast:fsr=off:fde=none:gs=on:gsem=off:lcm=reverse:nm=2:newcnf=on:nwc=1:sas=z3:stl=30:sd=10:ss=axioms:st=2.0:sos=all:sp=reverse_arity:urr=on:uhcvi=on_23 on theBenchmark 32.75/32.86 % Time limit reached! 32.75/32.86 % ------------------------------ 32.75/32.86 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 32.75/32.86 % Termination reason: Time limit 32.75/32.86 % Termination phase: Saturation 32.75/32.86 32.75/32.86 % Memory used [KB]: 45542 32.75/32.86 % Time elapsed: 3.100 s 32.75/32.86 % ------------------------------ 32.75/32.86 % ------------------------------ 32.80/32.90 % lrs+1002_3_aac=none:acc=on:add=off:afp=4000:afq=1.1:amm=sco:anc=none:cond=on:fsr=off:gs=on:irw=on:nm=32:newcnf=on:nwc=1.1:nicw=on:stl=30:sd=2:ss=axioms:st=5.0:sos=on:sp=occurrence:updr=off_2 on theBenchmark 33.26/33.39 % Time limit reached! 33.26/33.39 % ------------------------------ 33.26/33.39 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 33.26/33.39 % Termination reason: Time limit 33.26/33.39 % Termination phase: Saturation 33.26/33.39 33.26/33.39 % Memory used [KB]: 28784 33.26/33.39 % Time elapsed: 0.500 s 33.26/33.39 % ------------------------------ 33.26/33.39 % ------------------------------ 33.35/33.43 % ott-1_3:1_av=off:irw=on:lcm=reverse:lma=on:nm=6:newcnf=on:nwc=1.2:sd=3:ss=axioms:st=3.0:sp=reverse_arity_51 on theBenchmark 40.18/40.23 % Time limit reached! 40.18/40.23 % ------------------------------ 40.18/40.23 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 40.18/40.23 % Termination reason: Time limit 40.18/40.23 % Termination phase: Saturation 40.18/40.23 40.18/40.23 % Memory used [KB]: 83282 40.18/40.23 % Time elapsed: 6.800 s 40.18/40.23 % ------------------------------ 40.18/40.23 % ------------------------------ 40.18/40.27 % ott+1010_8:1_add=off:afp=4000:afq=1.4:amm=off:anc=all:bd=off:bsr=on:fsr=off:fde=unused:irw=on:lma=on:nwc=4:nicw=on:sac=on:sp=reverse_arity:urr=on:updr=off:uhcvi=on_239 on theBenchmark 60.56/60.55 % Refutation found. Thanks to Tanya! 60.56/60.55 % SZS status Theorem for theBenchmark 60.56/60.55 % SZS output start Proof for theBenchmark 60.56/60.56 fof(f101,axiom,( 60.56/60.56 ! [X0,X16,X29] : (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29,X16) => (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29,X0) => (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X29) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X16,X29) <=> X0 = X16)))), 60.56/60.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_eq__diff__iff)). 60.56/60.56 fof(f140,axiom,( 60.56/60.56 ! [X50,X26,X8] : (class_Rings_Ocomm__semiring__0(X8) => (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X8)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X8,X26,X50) <=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X8)) = X26))), 60.56/60.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_offset__poly__eq__0__iff)). 60.56/60.56 fof(f149,axiom,( 60.56/60.56 ! [X15,X38,X13,X8] : (class_Rings_Ocomm__semiring__0(X8) => hAPP(c_Polynomial_Opoly(X8,X13),c_Groups_Oplus__class_Oplus(X8,X38,X15)) = hAPP(c_Polynomial_Opoly(X8,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X8,X13,X38)),X15))), 60.56/60.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__offset__poly)). 60.56/60.56 fof(f331,axiom,( 60.56/60.56 ! [X6,X5] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X5,X6))), 60.56/60.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__add1)). 60.56/60.56 fof(f361,axiom,( 60.56/60.56 ! [X5] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X5) = c_Nat_OSuc(X5)), 60.56/60.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__eq__plus1__left)). 60.56/60.56 fof(f430,axiom,( 60.56/60.56 ! [X15,X13,X7,X8] : (class_Rings_Ocomm__semiring__0(X8) => hAPP(c_Polynomial_Opoly(X8,c_Polynomial_Osmult(X8,X7,X13)),X15) = c_Groups_Otimes__class_Otimes(X8,X7,hAPP(c_Polynomial_Opoly(X8,X13),X15)))), 60.56/60.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__smult)). 60.56/60.56 fof(f475,axiom,( 60.56/60.56 ! [X13,X8] : (class_Groups_Ozero(X8) => ((c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X8)) != X13 => c_Nat_OSuc(c_Polynomial_Odegree(X8,X13)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X8,X13)) & (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X8)) = X13 => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X8,X13))))), 60.56/60.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_psize__def)). 60.56/60.56 fof(f511,axiom,( 60.56/60.56 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)), 60.56/60.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0)). 60.56/60.56 fof(f513,axiom,( 60.56/60.56 c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), 60.56/60.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_One__nat__def)). 60.56/60.56 fof(f593,axiom,( 60.56/60.56 ! [X6] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X6,X6)), 60.56/60.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__self__eq__0)). 60.56/60.56 fof(f604,axiom,( 60.56/60.56 ! [X15,X8] : (class_Rings_Ocomm__semiring__0(X8) => c_Groups_Ozero__class_Ozero(X8) = hAPP(c_Polynomial_Opoly(X8,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X8))),X15))), 60.56/60.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__0)). 60.56/60.56 fof(f635,axiom,( 60.56/60.56 ! [X14,X15] : (c_Nat_OSuc(X14) = c_Nat_OSuc(X15) => X14 = X15)), 60.56/60.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__inject)). 60.56/60.56 fof(f762,axiom,( 60.56/60.56 ! [X15,X8] : (class_RealVector_Oreal__normed__algebra(X8) => c_Groups_Ozero__class_Ozero(X8) = c_Groups_Otimes__class_Otimes(X8,X15,c_Groups_Ozero__class_Ozero(X8)))), 60.56/60.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__right_Ozero)). 60.56/60.56 fof(f830,axiom,( 60.56/60.56 ! [X38,X13,X8] : (class_Rings_Ocomm__semiring__0(X8) => c_Polynomial_Odegree(X8,X13) = c_Polynomial_Odegree(X8,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X8,X13,X38)))), 60.56/60.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_degree__offset__poly)). 60.56/60.56 fof(f897,axiom,( 60.56/60.56 ! [X7,X8] : (class_Rings_Ocomm__semiring__0(X8) => c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X8)) = c_Polynomial_Osmult(X8,X7,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X8))))), 60.56/60.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_smult__0__right)). 60.56/60.56 fof(f914,axiom,( 60.56/60.56 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex)), 60.56/60.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra)). 60.56/60.56 fof(f1001,axiom,( 60.56/60.56 ! [X5] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5,X5)), 60.56/60.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__refl)). 60.56/60.56 fof(f1021,axiom,( 60.56/60.56 class_Groups_Ozero(tc_Complex_Ocomplex)), 60.56/60.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ozero)). 60.56/60.56 fof(f1087,axiom,( 60.56/60.56 ! [X5] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X5),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X5), 60.56/60.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__Suc__1)). 60.56/60.56 fof(f1092,conjecture,( 60.56/60.56 ? [X68] : (! [X76] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X68),X76) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,X76)) & c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X68))), 60.56/60.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)). 60.56/60.56 fof(f1093,negated_conjecture,( 60.56/60.56 ~? [X68] : (! [X76] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X68),X76) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,X76)) & c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X68))), 60.56/60.56 inference(negated_conjecture,[],[f1092])). 60.56/60.56 fof(f1152,plain,( 60.56/60.56 ~? [X0] : (! [X1] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),X1) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,X1)) & c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X0))), 60.56/60.56 inference(rectify,[],[f1093])). 60.56/60.56 fof(f1158,plain,( 60.56/60.56 ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X0)), 60.56/60.56 inference(rectify,[],[f1001])). 60.56/60.56 fof(f1180,plain,( 60.56/60.56 ! [X0] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X0)), 60.56/60.56 inference(rectify,[],[f593])). 60.56/60.56 fof(f1182,plain,( 60.56/60.56 ! [X0] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X0), 60.56/60.56 inference(rectify,[],[f1087])). 60.56/60.56 fof(f1183,plain,( 60.56/60.56 ! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0) = c_Nat_OSuc(X0)), 60.56/60.56 inference(rectify,[],[f361])). 60.56/60.56 fof(f1283,plain,( 60.56/60.56 ! [X0,X1] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0))), 60.56/60.56 inference(rectify,[],[f331])). 60.56/60.56 fof(f1354,plain,( 60.56/60.56 ! [X0,X1] : (class_RealVector_Oreal__normed__algebra(X1) => c_Groups_Ozero__class_Ozero(X1) = c_Groups_Otimes__class_Otimes(X1,X0,c_Groups_Ozero__class_Ozero(X1)))), 60.56/60.56 inference(rectify,[],[f762])). 60.56/60.56 fof(f1427,plain,( 60.56/60.56 ! [X0,X1] : (class_Groups_Ozero(X1) => ((c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) != X0 => c_Nat_OSuc(c_Polynomial_Odegree(X1,X0)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0)) & (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = X0 => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0))))), 60.56/60.56 inference(rectify,[],[f475])). 60.56/60.56 fof(f1435,plain,( 60.56/60.56 ! [X0,X1] : (class_Rings_Ocomm__semiring__0(X1) => c_Groups_Ozero__class_Ozero(X1) = hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0))), 60.56/60.56 inference(rectify,[],[f604])). 60.56/60.56 fof(f1437,plain,( 60.56/60.56 ! [X0,X1] : (class_Rings_Ocomm__semiring__0(X1) => c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = c_Polynomial_Osmult(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))), 60.56/60.56 inference(rectify,[],[f897])). 60.56/60.56 fof(f1499,plain,( 60.56/60.56 ! [X0,X1] : (c_Nat_OSuc(X0) = c_Nat_OSuc(X1) => X0 = X1)), 60.56/60.56 inference(rectify,[],[f635])). 60.56/60.56 fof(f1789,plain,( 60.56/60.56 ! [X0,X1,X2] : (class_Rings_Ocomm__semiring__0(X2) => c_Polynomial_Odegree(X2,X1) = c_Polynomial_Odegree(X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0)))), 60.56/60.56 inference(rectify,[],[f830])). 60.56/60.56 fof(f1798,plain,( 60.56/60.56 ! [X0,X1,X2] : (class_Rings_Ocomm__semiring__0(X2) => (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0) <=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1))), 60.56/60.56 inference(rectify,[],[f140])). 60.56/60.56 fof(f1856,plain,( 60.56/60.56 ! [X0,X1,X2] : (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) => (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) => (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) <=> X0 = X1)))), 60.56/60.56 inference(rectify,[],[f101])). 60.56/60.56 fof(f2066,plain,( 60.56/60.56 ! [X0,X1,X2,X3] : (class_Rings_Ocomm__semiring__0(X3) => hAPP(c_Polynomial_Opoly(X3,X2),c_Groups_Oplus__class_Oplus(X3,X1,X0)) = hAPP(c_Polynomial_Opoly(X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X2,X1)),X0))), 60.56/60.56 inference(rectify,[],[f149])). 60.56/60.56 fof(f2069,plain,( 60.56/60.56 ! [X0,X1,X2,X3] : (class_Rings_Ocomm__semiring__0(X3) => hAPP(c_Polynomial_Opoly(X3,c_Polynomial_Osmult(X3,X2,X1)),X0) = c_Groups_Otimes__class_Otimes(X3,X2,hAPP(c_Polynomial_Opoly(X3,X1),X0)))), 60.56/60.56 inference(rectify,[],[f430])). 60.56/60.56 fof(f2208,plain,( 60.56/60.56 ! [X0] : (? [X1] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),X1) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,X1)) | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X0))), 60.56/60.56 inference(ennf_transformation,[],[f1152])). 60.56/60.56 fof(f2350,plain,( 60.56/60.56 ! [X0,X1] : (c_Groups_Ozero__class_Ozero(X1) = c_Groups_Otimes__class_Otimes(X1,X0,c_Groups_Ozero__class_Ozero(X1)) | ~class_RealVector_Oreal__normed__algebra(X1))), 60.56/60.56 inference(ennf_transformation,[],[f1354])). 60.56/60.56 fof(f2435,plain,( 60.56/60.56 ! [X0,X1] : (((c_Nat_OSuc(c_Polynomial_Odegree(X1,X0)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = X0) & (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) != X0)) | ~class_Groups_Ozero(X1))), 60.56/60.56 inference(ennf_transformation,[],[f1427])). 60.56/60.56 fof(f2444,plain,( 60.56/60.56 ! [X0,X1] : (c_Groups_Ozero__class_Ozero(X1) = hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0) | ~class_Rings_Ocomm__semiring__0(X1))), 60.56/60.56 inference(ennf_transformation,[],[f1435])). 60.56/60.56 fof(f2446,plain,( 60.56/60.56 ! [X0,X1] : (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = c_Polynomial_Osmult(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) | ~class_Rings_Ocomm__semiring__0(X1))), 60.56/60.56 inference(ennf_transformation,[],[f1437])). 60.56/60.56 fof(f2522,plain,( 60.56/60.56 ! [X0,X1] : (X0 = X1 | c_Nat_OSuc(X0) != c_Nat_OSuc(X1))), 60.56/60.56 inference(ennf_transformation,[],[f1499])). 60.56/60.56 fof(f2874,plain,( 60.56/60.56 ! [X0,X1,X2] : (c_Polynomial_Odegree(X2,X1) = c_Polynomial_Odegree(X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0)) | ~class_Rings_Ocomm__semiring__0(X2))), 60.56/60.56 inference(ennf_transformation,[],[f1789])). 60.56/60.56 fof(f2883,plain,( 60.56/60.56 ! [X0,X1,X2] : ((c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0) <=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1) | ~class_Rings_Ocomm__semiring__0(X2))), 60.56/60.56 inference(ennf_transformation,[],[f1798])). 60.56/60.56 fof(f2967,plain,( 60.56/60.56 ! [X0,X1,X2] : (((c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) <=> X0 = X1) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1))), 60.56/60.56 inference(ennf_transformation,[],[f1856])). 60.56/60.56 fof(f2968,plain,( 60.56/60.56 ! [X0,X1,X2] : ((c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) <=> X0 = X1) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1))), 60.56/60.56 inference(flattening,[],[f2967])). 60.56/60.56 fof(f3266,plain,( 60.56/60.56 ! [X0,X1,X2,X3] : (hAPP(c_Polynomial_Opoly(X3,X2),c_Groups_Oplus__class_Oplus(X3,X1,X0)) = hAPP(c_Polynomial_Opoly(X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X2,X1)),X0) | ~class_Rings_Ocomm__semiring__0(X3))), 60.56/60.56 inference(ennf_transformation,[],[f2066])). 60.56/60.56 fof(f3269,plain,( 60.56/60.56 ! [X0,X1,X2,X3] : (hAPP(c_Polynomial_Opoly(X3,c_Polynomial_Osmult(X3,X2,X1)),X0) = c_Groups_Otimes__class_Otimes(X3,X2,hAPP(c_Polynomial_Opoly(X3,X1),X0)) | ~class_Rings_Ocomm__semiring__0(X3))), 60.56/60.56 inference(ennf_transformation,[],[f2069])). 60.56/60.56 fof(f3495,plain,( 60.56/60.56 ! [X0] : (? [X1] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),X1) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,X1)) => hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sK8(X0)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK8(X0))))), 60.56/60.56 introduced(choice_axiom,[])). 60.56/60.56 fof(f3496,plain,( 60.56/60.56 ! [X0] : (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sK8(X0)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK8(X0))) | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X0))), 60.56/60.56 inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f2208,f3495])). 60.56/60.56 fof(f3716,plain,( 60.56/60.56 ! [X0,X1,X2] : (((c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0) | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X1) & (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1 | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0))) | ~class_Rings_Ocomm__semiring__0(X2))), 60.56/60.56 inference(nnf_transformation,[],[f2883])). 60.56/60.56 fof(f3726,plain,( 60.56/60.56 ! [X0,X1,X2] : (((c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) | X0 != X1) & (X0 = X1 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1))), 60.56/60.56 inference(nnf_transformation,[],[f2968])). 60.56/60.56 fof(f3883,plain,( 60.56/60.56 ( ! [X0] : (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sK8(X0)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK8(X0))) | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X0)) )), 60.56/60.56 inference(cnf_transformation,[],[f3496])). 60.56/60.56 fof(f3891,plain,( 60.56/60.56 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex)), 60.56/60.56 inference(cnf_transformation,[],[f914])). 60.56/60.56 fof(f3954,plain,( 60.56/60.56 class_Groups_Ozero(tc_Complex_Ocomplex)), 60.56/60.56 inference(cnf_transformation,[],[f1021])). 60.56/60.56 fof(f3956,plain,( 60.56/60.56 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)), 60.56/60.56 inference(cnf_transformation,[],[f511])). 60.56/60.56 fof(f3972,plain,( 60.56/60.56 c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), 60.56/60.56 inference(cnf_transformation,[],[f513])). 60.56/60.56 fof(f3979,plain,( 60.56/60.56 ( ! [X0] : (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X0)) )), 60.56/60.56 inference(cnf_transformation,[],[f1158])). 60.56/60.56 fof(f4001,plain,( 60.56/60.56 ( ! [X0] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X0)) )), 60.56/60.56 inference(cnf_transformation,[],[f1180])). 60.56/60.56 fof(f4003,plain,( 60.56/60.56 ( ! [X0] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X0) )), 60.56/60.56 inference(cnf_transformation,[],[f1182])). 60.56/60.56 fof(f4004,plain,( 60.56/60.56 ( ! [X0] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0) = c_Nat_OSuc(X0)) )), 60.56/60.56 inference(cnf_transformation,[],[f1183])). 60.56/60.56 fof(f4113,plain,( 60.56/60.56 ( ! [X0,X1] : (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0))) )), 60.56/60.56 inference(cnf_transformation,[],[f1283])). 60.56/60.56 fof(f4221,plain,( 60.56/60.56 ( ! [X0,X1] : (c_Groups_Ozero__class_Ozero(X1) = c_Groups_Otimes__class_Otimes(X1,X0,c_Groups_Ozero__class_Ozero(X1)) | ~class_RealVector_Oreal__normed__algebra(X1)) )), 60.56/60.56 inference(cnf_transformation,[],[f2350])). 60.56/60.56 fof(f4309,plain,( 60.56/60.56 ( ! [X0,X1] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) != X0 | ~class_Groups_Ozero(X1)) )), 60.56/60.56 inference(cnf_transformation,[],[f2435])). 60.56/60.56 fof(f4310,plain,( 60.56/60.56 ( ! [X0,X1] : (c_Nat_OSuc(c_Polynomial_Odegree(X1,X0)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = X0 | ~class_Groups_Ozero(X1)) )), 60.56/60.56 inference(cnf_transformation,[],[f2435])). 60.56/60.56 fof(f4321,plain,( 60.56/60.56 ( ! [X0,X1] : (c_Groups_Ozero__class_Ozero(X1) = hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0) | ~class_Rings_Ocomm__semiring__0(X1)) )), 60.56/60.56 inference(cnf_transformation,[],[f2444])). 60.56/60.56 fof(f4323,plain,( 60.56/60.56 ( ! [X0,X1] : (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = c_Polynomial_Osmult(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) | ~class_Rings_Ocomm__semiring__0(X1)) )), 60.56/60.56 inference(cnf_transformation,[],[f2446])). 60.56/60.56 fof(f4396,plain,( 60.56/60.56 ( ! [X0,X1] : (X0 = X1 | c_Nat_OSuc(X0) != c_Nat_OSuc(X1)) )), 60.56/60.56 inference(cnf_transformation,[],[f2522])). 60.56/60.56 fof(f4857,plain,( 60.56/60.56 ( ! [X2,X0,X1] : (c_Polynomial_Odegree(X2,X1) = c_Polynomial_Odegree(X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0)) | ~class_Rings_Ocomm__semiring__0(X2)) )), 60.56/60.56 inference(cnf_transformation,[],[f2874])). 60.56/60.56 fof(f4867,plain,( 60.56/60.56 ( ! [X2,X0,X1] : (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1 | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0) | ~class_Rings_Ocomm__semiring__0(X2)) )), 60.56/60.56 inference(cnf_transformation,[],[f3716])). 60.56/60.56 fof(f4937,plain,( 60.56/60.56 ( ! [X2,X0,X1] : (X0 = X1 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)) )), 60.56/60.56 inference(cnf_transformation,[],[f3726])). 60.56/60.56 fof(f5323,plain,( 60.56/60.56 ( ! [X2,X0,X3,X1] : (hAPP(c_Polynomial_Opoly(X3,X2),c_Groups_Oplus__class_Oplus(X3,X1,X0)) = hAPP(c_Polynomial_Opoly(X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X2,X1)),X0) | ~class_Rings_Ocomm__semiring__0(X3)) )), 60.56/60.56 inference(cnf_transformation,[],[f3266])). 60.56/60.56 fof(f5326,plain,( 60.56/60.56 ( ! [X2,X0,X3,X1] : (hAPP(c_Polynomial_Opoly(X3,c_Polynomial_Osmult(X3,X2,X1)),X0) = c_Groups_Otimes__class_Otimes(X3,X2,hAPP(c_Polynomial_Opoly(X3,X1),X0)) | ~class_Rings_Ocomm__semiring__0(X3)) )), 60.56/60.56 inference(cnf_transformation,[],[f3269])). 60.56/60.56 fof(f5531,plain,( 60.56/60.56 ( ! [X1] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) | ~class_Groups_Ozero(X1)) )), 60.56/60.56 inference(equality_resolution,[],[f4309])). 60.56/60.56 fof(f5888,plain,( 60.56/60.56 spl30_14 <=> class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex)), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_14])])). 60.56/60.56 fof(f5889,plain,( 60.56/60.56 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) | ~spl30_14), 60.56/60.56 inference(avatar_component_clause,[],[f5888])). 60.56/60.56 fof(f5890,plain,( 60.56/60.56 spl30_14), 60.56/60.56 inference(avatar_split_clause,[],[f3891,f5888])). 60.56/60.56 fof(f6329,plain,( 60.56/60.56 spl30_140 <=> class_Groups_Ozero(tc_Complex_Ocomplex)), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_140])])). 60.56/60.56 fof(f6330,plain,( 60.56/60.56 class_Groups_Ozero(tc_Complex_Ocomplex) | ~spl30_140), 60.56/60.56 inference(avatar_component_clause,[],[f6329])). 60.56/60.56 fof(f6331,plain,( 60.56/60.56 spl30_140), 60.56/60.56 inference(avatar_split_clause,[],[f3954,f6329])). 60.56/60.56 fof(f6340,plain,( 60.56/60.56 spl30_145 <=> ~class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_145])])). 60.56/60.56 fof(f6343,plain,( 60.56/60.56 spl30_144 <=> class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_144])])). 60.56/60.56 fof(f6344,plain,( 60.56/60.56 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) | ~spl30_144), 60.56/60.56 inference(avatar_component_clause,[],[f6343])). 60.56/60.56 fof(f6345,plain,( 60.56/60.56 spl30_144), 60.56/60.56 inference(avatar_split_clause,[],[f3956,f6343])). 60.56/60.56 fof(f6457,plain,( 60.56/60.56 spl30_180 <=> ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X0)), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_180])])). 60.56/60.56 fof(f6458,plain,( 60.56/60.56 ( ! [X0] : (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X0)) ) | ~spl30_180), 60.56/60.56 inference(avatar_component_clause,[],[f6457])). 60.56/60.56 fof(f6459,plain,( 60.56/60.56 spl30_180), 60.56/60.56 inference(avatar_split_clause,[],[f3979,f6457])). 60.56/60.56 fof(f6729,plain,( 60.56/60.56 spl30_316 <=> ! [X0] : (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sK8(X0)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK8(X0))) | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X0))), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_316])])). 60.56/60.56 fof(f6730,plain,( 60.56/60.56 ( ! [X0] : (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sK8(X0)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK8(X0))) | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X0)) ) | ~spl30_316), 60.56/60.56 inference(avatar_component_clause,[],[f6729])). 60.56/60.56 fof(f6731,plain,( 60.56/60.56 spl30_316), 60.56/60.56 inference(avatar_split_clause,[],[f3883,f6729])). 60.56/60.56 fof(f6743,plain,( 60.56/60.56 spl30_320 <=> c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_320])])). 60.56/60.56 fof(f6744,plain,( 60.56/60.56 c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~spl30_320), 60.56/60.56 inference(avatar_component_clause,[],[f6743])). 60.56/60.56 fof(f6745,plain,( 60.56/60.56 spl30_320), 60.56/60.56 inference(avatar_split_clause,[],[f3972,f6743])). 60.56/60.56 fof(f6900,plain,( 60.56/60.56 spl30_366 <=> ! [X0] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X0)), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_366])])). 60.56/60.56 fof(f6901,plain,( 60.56/60.56 ( ! [X0] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X0)) ) | ~spl30_366), 60.56/60.56 inference(avatar_component_clause,[],[f6900])). 60.56/60.56 fof(f6902,plain,( 60.56/60.56 spl30_366), 60.56/60.56 inference(avatar_split_clause,[],[f4001,f6900])). 60.56/60.56 fof(f6928,plain,( 60.56/60.56 spl30_380 <=> ! [X1,X0] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0))), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_380])])). 60.56/60.56 fof(f6929,plain,( 60.56/60.56 ( ! [X0,X1] : (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0))) ) | ~spl30_380), 60.56/60.56 inference(avatar_component_clause,[],[f6928])). 60.56/60.56 fof(f6930,plain,( 60.56/60.56 spl30_380), 60.56/60.56 inference(avatar_split_clause,[],[f4113,f6928])). 60.56/60.56 fof(f6997,plain,( 60.56/60.56 spl30_398 <=> ! [X0] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X0), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_398])])). 60.56/60.56 fof(f6998,plain,( 60.56/60.56 ( ! [X0] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X0) ) | ~spl30_398), 60.56/60.56 inference(avatar_component_clause,[],[f6997])). 60.56/60.56 fof(f6999,plain,( 60.56/60.56 spl30_398), 60.56/60.56 inference(avatar_split_clause,[],[f4003,f6997])). 60.56/60.56 fof(f7001,plain,( 60.56/60.56 spl30_400 <=> ! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0) = c_Nat_OSuc(X0)), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_400])])). 60.56/60.56 fof(f7002,plain,( 60.56/60.56 ( ! [X0] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0) = c_Nat_OSuc(X0)) ) | ~spl30_400), 60.56/60.56 inference(avatar_component_clause,[],[f7001])). 60.56/60.56 fof(f7003,plain,( 60.56/60.56 spl30_400), 60.56/60.56 inference(avatar_split_clause,[],[f4004,f7001])). 60.56/60.56 fof(f7070,plain,( 60.56/60.56 spl30_432 <=> ! [X1,X0] : (X0 = X1 | c_Nat_OSuc(X0) != c_Nat_OSuc(X1))), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_432])])). 60.56/60.56 fof(f7071,plain,( 60.56/60.56 ( ! [X0,X1] : (c_Nat_OSuc(X0) != c_Nat_OSuc(X1) | X0 = X1) ) | ~spl30_432), 60.56/60.56 inference(avatar_component_clause,[],[f7070])). 60.56/60.56 fof(f7072,plain,( 60.56/60.56 spl30_432), 60.56/60.56 inference(avatar_split_clause,[],[f4396,f7070])). 60.56/60.56 fof(f7405,plain,( 60.56/60.56 ( ! [X0] : (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Nat_OSuc(X0))) ) | (~spl30_380 | ~spl30_400)), 60.56/60.56 inference(superposition,[],[f6929,f7002])). 60.56/60.56 fof(f7532,plain,( 60.56/60.56 spl30_602 <=> ! [X1,X0] : (c_Groups_Ozero__class_Ozero(X1) = c_Groups_Otimes__class_Otimes(X1,X0,c_Groups_Ozero__class_Ozero(X1)) | ~class_RealVector_Oreal__normed__algebra(X1))), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_602])])). 60.56/60.56 fof(f7533,plain,( 60.56/60.56 ( ! [X0,X1] : (c_Groups_Ozero__class_Ozero(X1) = c_Groups_Otimes__class_Otimes(X1,X0,c_Groups_Ozero__class_Ozero(X1)) | ~class_RealVector_Oreal__normed__algebra(X1)) ) | ~spl30_602), 60.56/60.56 inference(avatar_component_clause,[],[f7532])). 60.56/60.56 fof(f7534,plain,( 60.56/60.56 spl30_602), 60.56/60.56 inference(avatar_split_clause,[],[f4221,f7532])). 60.56/60.56 fof(f7671,plain,( 60.56/60.56 spl30_666 <=> ! [X1] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) | ~class_Groups_Ozero(X1))), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_666])])). 60.56/60.56 fof(f7672,plain,( 60.56/60.56 ( ! [X1] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) | ~class_Groups_Ozero(X1)) ) | ~spl30_666), 60.56/60.56 inference(avatar_component_clause,[],[f7671])). 60.56/60.56 fof(f7673,plain,( 60.56/60.56 spl30_666), 60.56/60.56 inference(avatar_split_clause,[],[f5531,f7671])). 60.56/60.56 fof(f8626,plain,( 60.56/60.56 ( ! [X0] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,X0,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))) ) | (~spl30_14 | ~spl30_602)), 60.56/60.56 inference(unit_resulting_resolution,[],[f5889,f7533])). 60.56/60.56 fof(f9090,plain,( 60.56/60.56 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) | (~spl30_140 | ~spl30_666)), 60.56/60.56 inference(unit_resulting_resolution,[],[f6330,f7672])). 60.56/60.56 fof(f9223,plain,( 60.56/60.56 spl30_832 <=> ! [X1,X0] : (c_Groups_Ozero__class_Ozero(X1) = hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0) | ~class_Rings_Ocomm__semiring__0(X1))), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_832])])). 60.56/60.56 fof(f9224,plain,( 60.56/60.56 ( ! [X0,X1] : (c_Groups_Ozero__class_Ozero(X1) = hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0) | ~class_Rings_Ocomm__semiring__0(X1)) ) | ~spl30_832), 60.56/60.56 inference(avatar_component_clause,[],[f9223])). 60.56/60.56 fof(f9225,plain,( 60.56/60.56 spl30_832), 60.56/60.56 inference(avatar_split_clause,[],[f4321,f9223])). 60.56/60.56 fof(f9231,plain,( 60.56/60.56 spl30_836 <=> ! [X1,X0] : (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = c_Polynomial_Osmult(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) | ~class_Rings_Ocomm__semiring__0(X1))), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_836])])). 60.56/60.56 fof(f9232,plain,( 60.56/60.56 ( ! [X0,X1] : (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = c_Polynomial_Osmult(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) | ~class_Rings_Ocomm__semiring__0(X1)) ) | ~spl30_836), 60.56/60.56 inference(avatar_component_clause,[],[f9231])). 60.56/60.56 fof(f9233,plain,( 60.56/60.56 spl30_836), 60.56/60.56 inference(avatar_split_clause,[],[f4323,f9231])). 60.56/60.56 fof(f9344,plain,( 60.56/60.56 spl30_886 <=> ! [X1,X0,X2] : (c_Polynomial_Odegree(X2,X1) = c_Polynomial_Odegree(X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0)) | ~class_Rings_Ocomm__semiring__0(X2))), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_886])])). 60.56/60.56 fof(f9345,plain,( 60.56/60.56 ( ! [X2,X0,X1] : (c_Polynomial_Odegree(X2,X1) = c_Polynomial_Odegree(X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0)) | ~class_Rings_Ocomm__semiring__0(X2)) ) | ~spl30_886), 60.56/60.56 inference(avatar_component_clause,[],[f9344])). 60.56/60.56 fof(f9346,plain,( 60.56/60.56 spl30_886), 60.56/60.56 inference(avatar_split_clause,[],[f4857,f9344])). 60.56/60.56 fof(f11226,plain,( 60.56/60.56 ( ! [X0] : (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osmult(tc_Complex_Ocomplex,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))) ) | (~spl30_144 | ~spl30_836)), 60.56/60.56 inference(unit_resulting_resolution,[],[f6344,f9232])). 60.56/60.56 fof(f11797,plain,( 60.56/60.56 ( ! [X0,X1] : (c_Polynomial_Odegree(tc_Complex_Ocomplex,X0) = c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1))) ) | (~spl30_144 | ~spl30_886)), 60.56/60.56 inference(unit_resulting_resolution,[],[f6344,f9345])). 60.56/60.56 fof(f15026,plain,( 60.56/60.56 spl30_1364 <=> ! [X1,X0] : (c_Nat_OSuc(c_Polynomial_Odegree(X1,X0)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = X0 | ~class_Groups_Ozero(X1))), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_1364])])). 60.56/60.56 fof(f15027,plain,( 60.56/60.56 ( ! [X0,X1] : (c_Nat_OSuc(c_Polynomial_Odegree(X1,X0)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = X0 | ~class_Groups_Ozero(X1)) ) | ~spl30_1364), 60.56/60.56 inference(avatar_component_clause,[],[f15026])). 60.56/60.56 fof(f15028,plain,( 60.56/60.56 spl30_1364), 60.56/60.56 inference(avatar_split_clause,[],[f4310,f15026])). 60.56/60.56 fof(f15233,plain,( 60.56/60.56 spl30_1436 <=> ! [X1,X0,X2] : (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1 | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0) | ~class_Rings_Ocomm__semiring__0(X2))), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_1436])])). 60.56/60.56 fof(f15234,plain,( 60.56/60.56 ( ! [X2,X0,X1] : (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0) | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1 | ~class_Rings_Ocomm__semiring__0(X2)) ) | ~spl30_1436), 60.56/60.56 inference(avatar_component_clause,[],[f15233])). 60.56/60.56 fof(f15235,plain,( 60.56/60.56 spl30_1436), 60.56/60.56 inference(avatar_split_clause,[],[f4867,f15233])). 60.56/60.56 fof(f36338,plain,( 60.56/60.56 spl30_1986 <=> ! [X1,X3,X0,X2] : (hAPP(c_Polynomial_Opoly(X3,X2),c_Groups_Oplus__class_Oplus(X3,X1,X0)) = hAPP(c_Polynomial_Opoly(X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X2,X1)),X0) | ~class_Rings_Ocomm__semiring__0(X3))), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_1986])])). 60.56/60.56 fof(f36339,plain,( 60.56/60.56 ( ! [X2,X0,X3,X1] : (hAPP(c_Polynomial_Opoly(X3,X2),c_Groups_Oplus__class_Oplus(X3,X1,X0)) = hAPP(c_Polynomial_Opoly(X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X2,X1)),X0) | ~class_Rings_Ocomm__semiring__0(X3)) ) | ~spl30_1986), 60.56/60.56 inference(avatar_component_clause,[],[f36338])). 60.56/60.56 fof(f36340,plain,( 60.56/60.56 spl30_1986), 60.56/60.56 inference(avatar_split_clause,[],[f5323,f36338])). 60.56/60.56 fof(f36350,plain,( 60.56/60.56 spl30_1992 <=> ! [X1,X3,X0,X2] : (hAPP(c_Polynomial_Opoly(X3,c_Polynomial_Osmult(X3,X2,X1)),X0) = c_Groups_Otimes__class_Otimes(X3,X2,hAPP(c_Polynomial_Opoly(X3,X1),X0)) | ~class_Rings_Ocomm__semiring__0(X3))), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_1992])])). 60.56/60.56 fof(f36351,plain,( 60.56/60.56 ( ! [X2,X0,X3,X1] : (hAPP(c_Polynomial_Opoly(X3,c_Polynomial_Osmult(X3,X2,X1)),X0) = c_Groups_Otimes__class_Otimes(X3,X2,hAPP(c_Polynomial_Opoly(X3,X1),X0)) | ~class_Rings_Ocomm__semiring__0(X3)) ) | ~spl30_1992), 60.56/60.56 inference(avatar_component_clause,[],[f36350])). 60.56/60.56 fof(f36352,plain,( 60.56/60.56 spl30_1992), 60.56/60.56 inference(avatar_split_clause,[],[f5326,f36350])). 60.56/60.56 fof(f42788,plain,( 60.56/60.56 spl30_2168 <=> ! [X1,X0,X2] : (X0 = X1 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1))), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_2168])])). 60.56/60.56 fof(f42789,plain,( 60.56/60.56 ( ! [X2,X0,X1] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X2) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2) | X0 = X1 | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)) ) | ~spl30_2168), 60.56/60.56 inference(avatar_component_clause,[],[f42788])). 60.56/60.56 fof(f42790,plain,( 60.56/60.56 spl30_2168), 60.56/60.56 inference(avatar_split_clause,[],[f4937,f42788])). 60.56/60.56 fof(f46410,plain,( 60.56/60.56 ( ! [X0,X1] : (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK8(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1)))) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,sK8(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1)))) | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1)) | ~class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)) ) | (~spl30_316 | ~spl30_1986)), 60.56/60.56 inference(superposition,[],[f6730,f36339])). 60.56/60.56 fof(f46571,plain,( 60.56/60.56 ( ! [X0,X1] : (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK8(c_Polynomial_Osmult(tc_Complex_Ocomplex,X0,X1)))) != c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,X0,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),sK8(c_Polynomial_Osmult(tc_Complex_Ocomplex,X0,X1)))) | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,X0,X1)) | ~class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)) ) | (~spl30_316 | ~spl30_1992)), 60.56/60.56 inference(superposition,[],[f6730,f36351])). 60.56/60.56 fof(f122275,plain,( 60.56/60.56 spl30_2838 <=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_2838])])). 60.56/60.56 fof(f122276,plain,( 60.56/60.56 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) | ~spl30_2838), 60.56/60.56 inference(avatar_component_clause,[],[f122275])). 60.56/60.56 fof(f122278,plain,( 60.56/60.56 spl30_2839 <=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_2839])])). 60.56/60.56 fof(f122279,plain,( 60.56/60.56 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) | ~spl30_2839), 60.56/60.56 inference(avatar_component_clause,[],[f122278])). 60.56/60.56 fof(f122283,plain,( 60.56/60.56 spl30_2840 <=> ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Nat_OSuc(X0))), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_2840])])). 60.56/60.56 fof(f122284,plain,( 60.56/60.56 ( ! [X0] : (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Nat_OSuc(X0))) ) | ~spl30_2840), 60.56/60.56 inference(avatar_component_clause,[],[f122283])). 60.56/60.56 fof(f122285,plain,( 60.56/60.56 spl30_2840 | ~spl30_380 | ~spl30_400), 60.56/60.56 inference(avatar_split_clause,[],[f7405,f7001,f6928,f122283])). 60.56/60.56 fof(f130880,plain,( 60.56/60.56 c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Nat_OSuc(c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)) | (~spl30_432 | ~spl30_2839)), 60.56/60.56 inference(unit_resulting_resolution,[],[f122279,f7071])). 60.56/60.56 fof(f131366,plain,( 60.56/60.56 c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Nat_OSuc(c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)) | (~spl30_320 | ~spl30_432 | ~spl30_2839)), 60.56/60.56 inference(forward_demodulation,[],[f130880,f6744])). 60.56/60.56 fof(f137981,plain,( 60.56/60.56 spl30_2913 <=> c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Nat_OSuc(c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p))), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_2913])])). 60.56/60.56 fof(f137982,plain,( 60.56/60.56 c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Nat_OSuc(c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)) | ~spl30_2913), 60.56/60.56 inference(avatar_component_clause,[],[f137981])). 60.56/60.56 fof(f137983,plain,( 60.56/60.56 ~spl30_2913 | ~spl30_320 | ~spl30_432 | spl30_2839), 60.56/60.56 inference(avatar_split_clause,[],[f131366,f122278,f7070,f6743,f137981])). 60.56/60.56 fof(f138601,plain,( 60.56/60.56 c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) | (~spl30_180 | ~spl30_2168 | ~spl30_2840 | ~spl30_2913)), 60.56/60.56 inference(unit_resulting_resolution,[],[f6458,f122284,f137982,f42789])). 60.56/60.56 fof(f146539,plain,( 60.56/60.56 spl30_2958 <=> ! [X1,X0] : (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK8(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1)))) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,sK8(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1)))) | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1)))), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_2958])])). 60.56/60.56 fof(f146540,plain,( 60.56/60.56 ( ! [X0,X1] : (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK8(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1)))) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,sK8(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1)))) | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1))) ) | ~spl30_2958), 60.56/60.56 inference(avatar_component_clause,[],[f146539])). 60.56/60.56 fof(f146541,plain,( 60.56/60.56 ~spl30_145 | spl30_2958 | ~spl30_316 | ~spl30_1986), 60.56/60.56 inference(avatar_split_clause,[],[f46410,f36338,f6729,f146539,f6340])). 60.56/60.56 fof(f148254,plain,( 60.56/60.56 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a)) | ~spl30_2958), 60.56/60.56 inference(equality_resolution,[],[f146540])). 60.56/60.56 fof(f148268,plain,( 60.56/60.56 spl30_2960 <=> ! [X1,X0] : (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK8(c_Polynomial_Osmult(tc_Complex_Ocomplex,X0,X1)))) != c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,X0,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),sK8(c_Polynomial_Osmult(tc_Complex_Ocomplex,X0,X1)))) | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,X0,X1)))), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_2960])])). 60.56/60.56 fof(f148269,plain,( 60.56/60.56 ( ! [X0,X1] : (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK8(c_Polynomial_Osmult(tc_Complex_Ocomplex,X0,X1)))) != c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,X0,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),sK8(c_Polynomial_Osmult(tc_Complex_Ocomplex,X0,X1)))) | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,X0,X1))) ) | ~spl30_2960), 60.56/60.56 inference(avatar_component_clause,[],[f148268])). 60.56/60.56 fof(f148270,plain,( 60.56/60.56 ~spl30_145 | spl30_2960 | ~spl30_316 | ~spl30_1992), 60.56/60.56 inference(avatar_split_clause,[],[f46571,f36350,f6729,f148268,f6340])). 60.56/60.56 fof(f148284,plain,( 60.56/60.56 ( ! [X1] : (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK8(c_Polynomial_Osmult(tc_Complex_Ocomplex,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))) != c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex,X1,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))) | ~class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)) ) | (~spl30_832 | ~spl30_2960)), 60.56/60.56 inference(superposition,[],[f148269,f9224])). 60.56/60.56 fof(f148330,plain,( 60.56/60.56 ( ! [X1] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK8(c_Polynomial_Osmult(tc_Complex_Ocomplex,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))) | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))) | ~class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)) ) | (~spl30_14 | ~spl30_602 | ~spl30_832 | ~spl30_2960)), 60.56/60.56 inference(forward_demodulation,[],[f148284,f8626])). 60.56/60.56 fof(f148331,plain,( 60.56/60.56 ( ! [X1] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK8(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))) | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))) | ~class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)) ) | (~spl30_14 | ~spl30_144 | ~spl30_602 | ~spl30_832 | ~spl30_836 | ~spl30_2960)), 60.56/60.56 inference(forward_demodulation,[],[f148330,f11226])). 60.56/60.56 fof(f148332,plain,( 60.56/60.56 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK8(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))) | ~class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) | (~spl30_14 | ~spl30_144 | ~spl30_602 | ~spl30_832 | ~spl30_836 | ~spl30_2960)), 60.56/60.56 inference(forward_demodulation,[],[f148331,f11226])). 60.56/60.56 fof(f148333,plain,( 60.56/60.56 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK8(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))) | ~class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) | (~spl30_14 | ~spl30_140 | ~spl30_144 | ~spl30_602 | ~spl30_666 | ~spl30_832 | ~spl30_836 | ~spl30_2960)), 60.56/60.56 inference(forward_demodulation,[],[f148332,f9090])). 60.56/60.56 fof(f183469,plain,( 60.56/60.56 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK8(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))) | ~class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) | (~spl30_14 | ~spl30_140 | ~spl30_144 | ~spl30_602 | ~spl30_666 | ~spl30_832 | ~spl30_836 | ~spl30_2838 | ~spl30_2960)), 60.56/60.56 inference(forward_demodulation,[],[f148333,f122276])). 60.56/60.56 fof(f183470,plain,( 60.56/60.56 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK8(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))) | ~class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) | (~spl30_14 | ~spl30_140 | ~spl30_144 | ~spl30_602 | ~spl30_666 | ~spl30_832 | ~spl30_836 | ~spl30_2838 | ~spl30_2960)), 60.56/60.56 inference(trivial_inequality_removal,[],[f183469])). 60.56/60.56 fof(f199842,plain,( 60.56/60.56 spl30_2975 <=> c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a))), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_2975])])). 60.56/60.56 fof(f199843,plain,( 60.56/60.56 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a)) | ~spl30_2975), 60.56/60.56 inference(avatar_component_clause,[],[f199842])). 60.56/60.56 fof(f199844,plain,( 60.56/60.56 ~spl30_2975 | ~spl30_2958), 60.56/60.56 inference(avatar_split_clause,[],[f148254,f146539,f199842])). 60.56/60.56 fof(f202002,plain,( 60.56/60.56 spl30_2979 <=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_p), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_2979])])). 60.56/60.56 fof(f202003,plain,( 60.56/60.56 c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_p | ~spl30_2979), 60.56/60.56 inference(avatar_component_clause,[],[f202002])). 60.56/60.56 fof(f202005,plain,( 60.56/60.56 spl30_2978 <=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_2978])])). 60.56/60.56 fof(f202006,plain,( 60.56/60.56 c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p | ~spl30_2978), 60.56/60.56 inference(avatar_component_clause,[],[f202005])). 60.56/60.56 fof(f207034,plain,( 60.56/60.56 c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) | (~spl30_180 | ~spl30_398 | ~spl30_2168 | ~spl30_2840 | ~spl30_2913)), 60.56/60.56 inference(forward_demodulation,[],[f138601,f6998])). 60.56/60.56 fof(f211439,plain,( 60.56/60.56 c_Nat_OSuc(c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) | (~spl30_140 | ~spl30_1364 | ~spl30_2979)), 60.56/60.56 inference(unit_resulting_resolution,[],[f6330,f202003,f15027])). 60.56/60.56 fof(f217898,plain,( 60.56/60.56 ( ! [X0] : (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,X0)) ) | (~spl30_144 | ~spl30_1436 | ~spl30_2979)), 60.56/60.56 inference(unit_resulting_resolution,[],[f6344,f202003,f15234])). 60.56/60.56 fof(f220769,plain,( 60.56/60.56 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK8(v_p))) | ~class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) | (~spl30_14 | ~spl30_140 | ~spl30_144 | ~spl30_602 | ~spl30_666 | ~spl30_832 | ~spl30_836 | ~spl30_2838 | ~spl30_2960 | ~spl30_2978)), 60.56/60.56 inference(forward_demodulation,[],[f183470,f202006])). 60.56/60.56 fof(f221987,plain,( 60.56/60.56 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) | ~class_Groups_Ozero(tc_Complex_Ocomplex) | (~spl30_666 | ~spl30_2978)), 60.56/60.56 inference(superposition,[],[f7672,f202006])). 60.56/60.56 fof(f221996,plain,( 60.56/60.56 ( ! [X7] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X7) | ~class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)) ) | (~spl30_832 | ~spl30_2978)), 60.56/60.56 inference(superposition,[],[f9224,f202006])). 60.56/60.56 fof(f222207,plain,( 60.56/60.56 ~class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) | (~spl30_14 | ~spl30_140 | ~spl30_144 | ~spl30_602 | ~spl30_666 | ~spl30_832 | ~spl30_836 | ~spl30_2838 | ~spl30_2960 | ~spl30_2978)), 60.56/60.56 inference(subsumption_resolution,[],[f220769,f221996])). 60.56/60.56 fof(f222208,plain,( 60.56/60.56 $false | (~spl30_14 | ~spl30_140 | ~spl30_144 | ~spl30_602 | ~spl30_666 | ~spl30_832 | ~spl30_836 | ~spl30_2838 | ~spl30_2960 | ~spl30_2978)), 60.56/60.56 inference(subsumption_resolution,[],[f6344,f222207])). 60.56/60.56 fof(f222209,plain,( 60.56/60.56 ~spl30_14 | ~spl30_140 | ~spl30_144 | ~spl30_602 | ~spl30_666 | ~spl30_832 | ~spl30_836 | ~spl30_2838 | ~spl30_2960 | ~spl30_2978), 60.56/60.56 inference(avatar_contradiction_clause,[],[f222208])). 60.56/60.56 fof(f230884,plain,( 60.56/60.56 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) | (~spl30_180 | ~spl30_366 | ~spl30_398 | ~spl30_2168 | ~spl30_2840 | ~spl30_2913)), 60.56/60.56 inference(forward_demodulation,[],[f207034,f6901])). 60.56/60.56 fof(f230885,plain,( 60.56/60.56 ~class_Groups_Ozero(tc_Complex_Ocomplex) | (~spl30_180 | ~spl30_366 | ~spl30_398 | ~spl30_666 | ~spl30_2168 | ~spl30_2840 | ~spl30_2913 | ~spl30_2978)), 60.56/60.56 inference(subsumption_resolution,[],[f221987,f230884])). 60.56/60.56 fof(f230886,plain,( 60.56/60.56 $false | (~spl30_140 | ~spl30_180 | ~spl30_366 | ~spl30_398 | ~spl30_666 | ~spl30_2168 | ~spl30_2840 | ~spl30_2913 | ~spl30_2978)), 60.56/60.56 inference(subsumption_resolution,[],[f6330,f230885])). 60.56/60.56 fof(f230887,plain,( 60.56/60.56 ~spl30_140 | ~spl30_180 | ~spl30_366 | ~spl30_398 | ~spl30_666 | ~spl30_2168 | ~spl30_2840 | spl30_2913 | ~spl30_2978), 60.56/60.56 inference(avatar_contradiction_clause,[],[f230886])). 60.56/60.56 fof(f309624,plain,( 60.56/60.56 spl30_3016 <=> c_Nat_OSuc(c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_3016])])). 60.56/60.56 fof(f309625,plain,( 60.56/60.56 c_Nat_OSuc(c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) | ~spl30_3016), 60.56/60.56 inference(avatar_component_clause,[],[f309624])). 60.56/60.56 fof(f309626,plain,( 60.56/60.56 spl30_3016 | ~spl30_140 | ~spl30_1364 | spl30_2979), 60.56/60.56 inference(avatar_split_clause,[],[f211439,f202002,f15026,f6329,f309624])). 60.56/60.56 fof(f321730,plain,( 60.56/60.56 spl30_3040 <=> ! [X0] : c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,X0)), 60.56/60.56 introduced(avatar_definition,[new_symbols(naming,[spl30_3040])])). 60.56/60.56 fof(f321731,plain,( 60.56/60.56 ( ! [X0] : (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,X0)) ) | ~spl30_3040), 60.56/60.56 inference(avatar_component_clause,[],[f321730])). 60.56/60.56 fof(f321732,plain,( 60.56/60.56 spl30_3040 | ~spl30_144 | ~spl30_1436 | spl30_2979), 60.56/60.56 inference(avatar_split_clause,[],[f217898,f202002,f15233,f6343,f321730])). 60.56/60.56 fof(f325410,plain,( 60.56/60.56 ( ! [X0] : (c_Nat_OSuc(c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,X0))) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,X0))) ) | (~spl30_140 | ~spl30_1364 | ~spl30_3040)), 60.56/60.56 inference(unit_resulting_resolution,[],[f6330,f321731,f15027])). 60.56/60.56 fof(f325474,plain,( 60.56/60.56 ( ! [X0] : (c_Nat_OSuc(c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,X0))) ) | (~spl30_140 | ~spl30_144 | ~spl30_886 | ~spl30_1364 | ~spl30_3040)), 60.56/60.56 inference(forward_demodulation,[],[f325410,f11797])). 60.56/60.56 fof(f325475,plain,( 60.56/60.56 ( ! [X0] : (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,X0))) ) | (~spl30_140 | ~spl30_144 | ~spl30_886 | ~spl30_1364 | ~spl30_3016 | ~spl30_3040)), 60.56/60.56 inference(forward_demodulation,[],[f325474,f309625])). 60.56/60.56 fof(f325476,plain,( 60.56/60.56 $false | (~spl30_140 | ~spl30_144 | ~spl30_886 | ~spl30_1364 | ~spl30_2975 | ~spl30_3016 | ~spl30_3040)), 60.56/60.56 inference(subsumption_resolution,[],[f199843,f325475])). 60.56/60.56 fof(f325477,plain,( 60.56/60.56 ~spl30_140 | ~spl30_144 | ~spl30_886 | ~spl30_1364 | spl30_2975 | ~spl30_3016 | ~spl30_3040), 60.56/60.56 inference(avatar_contradiction_clause,[],[f325476])). 60.56/60.56 fof(f325481,plain,( 60.56/60.56 $false), 60.56/60.56 inference(avatar_sat_refutation,[],[f5890,f6331,f6345,f6459,f6731,f6745,f6902,f6930,f6999,f7003,f7072,f7534,f7673,f9225,f9233,f9346,f15028,f15235,f36340,f36352,f42790,f122285,f137983,f146541,f148270,f199844,f222209,f230887,f309626,f321732,f325477])). 60.56/60.56 % SZS output end Proof for theBenchmark 60.56/60.56 % ------------------------------ 60.56/60.56 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 60.56/60.56 % Termination reason: Refutation 60.56/60.56 60.56/60.56 % Memory used [KB]: 250742 60.56/60.56 % Time elapsed: 20.288 s 60.56/60.56 % ------------------------------ 60.56/60.56 % ------------------------------ 60.65/60.59 % Success in time 60.337 s 60.69/62.04 EOF