0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.03/0.22 % Computer : n125.star.cs.uiowa.edu 0.03/0.22 % Model : x86_64 x86_64 0.03/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.22 % Memory : 32218.625MB 0.03/0.22 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 06:30:39 CDT 2018 0.03/0.23 % CPUTime : 0.06/0.31 % dis+11_4_afr=on:afp=1000:afq=1.4:amm=off:anc=none:lcm=reverse:lma=on:lwlo=on:nm=6:newcnf=on:nwc=1:sd=2:ss=axioms:st=2.0:sp=reverse_arity_3 on theBenchmark 0.67/0.90 % Time limit reached! 0.67/0.90 % ------------------------------ 0.67/0.90 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.67/0.90 % Termination reason: Time limit 0.67/0.90 % Termination phase: Saturation 0.67/0.90 0.67/0.90 % Memory used [KB]: 16247 0.67/0.90 % Time elapsed: 0.600 s 0.67/0.90 % ------------------------------ 0.67/0.90 % ------------------------------ 0.72/0.94 % dis+1011_10_aac=none:add=large:afp=10000:afq=1.1:amm=off:anc=none:fsr=off:gs=on:gsem=off:irw=on:nm=6:newcnf=on:nwc=2.5:sp=reverse_arity:updr=off_3 on theBenchmark 1.32/1.54 % Time limit reached! 1.32/1.54 % ------------------------------ 1.32/1.54 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 1.32/1.54 % Termination reason: Time limit 1.32/1.54 % Termination phase: Saturation 1.32/1.54 1.32/1.54 % Memory used [KB]: 36587 1.32/1.54 % Time elapsed: 0.600 s 1.32/1.54 % ------------------------------ 1.32/1.54 % ------------------------------ 1.37/1.58 % ott+11_2:1_add=large:afp=40000:afq=2.0:amm=sco:anc=none:br=off:cond=on:irw=on:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:urr=on:updr=off_3 on theBenchmark 1.96/2.17 % Time limit reached! 1.96/2.17 % ------------------------------ 1.96/2.17 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 1.96/2.17 % Termination reason: Time limit 1.96/2.17 % Termination phase: Saturation 1.96/2.17 1.96/2.17 % Memory used [KB]: 18038 1.96/2.17 % Time elapsed: 0.600 s 1.96/2.17 % ------------------------------ 1.96/2.17 % ------------------------------ 1.96/2.21 % ott+4_40_av=off:bce=on:cond=fast:fde=none:nm=0:nwc=1:sos=all:updr=off_2 on theBenchmark 2.01/2.71 % Time limit reached! 2.01/2.71 % ------------------------------ 2.01/2.71 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 2.01/2.71 % Termination reason: Time limit 2.01/2.71 % Termination phase: Saturation 2.01/2.71 2.01/2.71 % Memory used [KB]: 12025 2.01/2.71 % Time elapsed: 0.500 s 2.01/2.71 % ------------------------------ 2.01/2.71 % ------------------------------ 2.01/2.74 % dis+11_10_av=off:lma=on:nm=64:nwc=5:sp=reverse_arity_3 on theBenchmark 3.07/3.34 % Time limit reached! 3.07/3.34 % ------------------------------ 3.07/3.34 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.07/3.34 % Termination reason: Time limit 3.07/3.34 % Termination phase: Saturation 3.07/3.34 3.07/3.34 % Memory used [KB]: 13048 3.07/3.34 % Time elapsed: 0.600 s 3.07/3.34 % ------------------------------ 3.07/3.34 % ------------------------------ 3.17/3.38 % lrs+1011_3:2_aac=none:afp=10000:afq=1.2:amm=off:anc=all:cond=on:fde=none:gs=on:gsem=on:irw=on:lma=on:nm=32:newcnf=on:nwc=3:nicw=on:stl=30:sac=on:sp=reverse_arity:urr=ec_only:updr=off:uhcvi=on_21 on theBenchmark 6.10/6.28 % Time limit reached! 6.10/6.28 % ------------------------------ 6.10/6.28 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 6.10/6.28 % Termination reason: Time limit 6.10/6.28 % Termination phase: Saturation 6.10/6.28 6.10/6.28 % Memory used [KB]: 64220 6.10/6.28 % Time elapsed: 2.900 s 6.10/6.28 % ------------------------------ 6.10/6.28 % ------------------------------ 6.10/6.32 % lrs+2_3:1_afp=1000:afq=2.0:amm=off:anc=none:bs=unit_only:bsr=on:cond=on:gs=on:gsem=off:irw=on:lcm=predicate:lma=on:nm=6:newcnf=on:nwc=1:nicw=on:sas=z3:stl=30:sd=2:ss=axioms:sac=on:sp=reverse_arity:urr=ec_only:updr=off_3 on theBenchmark 6.69/6.91 % Time limit reached! 6.69/6.91 % ------------------------------ 6.69/6.91 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 6.69/6.91 % Termination reason: Time limit 6.69/6.91 % Termination phase: Saturation 6.69/6.91 6.69/6.91 % Memory used [KB]: 18933 6.69/6.91 % Time elapsed: 0.600 s 6.69/6.91 % ------------------------------ 6.69/6.91 % ------------------------------ 6.69/6.95 % dis+11_5_afp=40000:afq=1.4:anc=none:br=off:cond=on:fsr=off:irw=on:lma=on:nm=4:nwc=1:sd=3:ss=axioms:st=2.0:urr=on:updr=off_6 on theBenchmark 7.77/7.95 % Time limit reached! 7.77/7.95 % ------------------------------ 7.77/7.95 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 7.77/7.95 % Termination reason: Time limit 7.77/7.95 % Termination phase: Saturation 7.77/7.95 7.77/7.95 % Memory used [KB]: 41449 7.77/7.95 % Time elapsed: 1.0000 s 7.77/7.95 % ------------------------------ 7.77/7.95 % ------------------------------ 7.82/7.99 % dis+1002_7_acc=on:afp=4000:afq=2.0:amm=sco:anc=none:cond=fast:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:nicw=on:sos=on:sac=on:sp=reverse_arity:urr=ec_only:updr=off_3 on theBenchmark 8.38/8.59 % Time limit reached! 8.38/8.59 % ------------------------------ 8.38/8.59 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 8.38/8.59 % Termination reason: Time limit 8.38/8.59 % Termination phase: Saturation 8.38/8.59 8.38/8.59 % Memory used [KB]: 28144 8.38/8.59 % Time elapsed: 0.600 s 8.38/8.59 % ------------------------------ 8.38/8.59 % ------------------------------ 8.38/8.63 % ott+1002_128_av=off:bd=off:bs=on:bsr=on:cond=on:fsr=off:nm=6:newcnf=on:nwc=1:sp=reverse_arity:updr=off_10 on theBenchmark 9.96/10.13 % Time limit reached! 9.96/10.13 % ------------------------------ 9.96/10.13 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 9.96/10.13 % Termination reason: Time limit 9.96/10.13 % Termination phase: Saturation 9.96/10.13 9.96/10.13 % Memory used [KB]: 19189 9.96/10.13 % Time elapsed: 1.500 s 9.96/10.13 % ------------------------------ 9.96/10.13 % ------------------------------ 9.99/10.16 % lrs-11_8_afr=on:afp=100000:afq=2.0:anc=none:bd=off:cond=on:gs=on:lma=on:nm=2:newcnf=on:nwc=3:stl=30:sac=on:sp=occurrence_19 on theBenchmark 12.55/12.76 % Time limit reached! 12.55/12.76 % ------------------------------ 12.55/12.76 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 12.55/12.76 % Termination reason: Time limit 12.55/12.76 % Termination phase: Saturation 12.55/12.76 12.55/12.76 % Memory used [KB]: 56033 12.55/12.76 % Time elapsed: 2.600 s 12.55/12.76 % ------------------------------ 12.55/12.76 % ------------------------------ 12.64/12.80 % lrs+1002_8_add=large:afp=40000:afq=1.0:amm=off:anc=none:cond=on:gs=on:irw=on:nm=16:newcnf=on:nwc=1:stl=30:sos=on:sp=reverse_arity:updr=off_6 on theBenchmark 13.58/13.80 % Time limit reached! 13.58/13.80 % ------------------------------ 13.58/13.80 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 13.58/13.80 % Termination reason: Time limit 13.58/13.80 % Termination phase: Saturation 13.58/13.80 13.58/13.80 % Memory used [KB]: 30447 13.58/13.80 % Time elapsed: 1.0000 s 13.58/13.80 % ------------------------------ 13.58/13.80 % ------------------------------ 13.68/13.83 % lrs+1011_5_add=large:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_4 on theBenchmark 14.49/14.63 % Time limit reached! 14.49/14.63 % ------------------------------ 14.49/14.63 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 14.49/14.63 % Termination reason: Time limit 14.49/14.63 % Termination phase: Saturation 14.49/14.63 14.49/14.63 % Memory used [KB]: 22643 14.49/14.63 % Time elapsed: 0.800 s 14.49/14.63 % ------------------------------ 14.49/14.63 % ------------------------------ 14.49/14.67 % lrs+1011_7_afp=100000:afq=1.0:amm=sco:anc=all_dependent:bs=unit_only:bsr=on:ep=RS:fde=none:gsp=input_only:gs=on:gsem=off:lwlo=on:nm=4:nwc=1:stl=120:sos=theory:sp=occurrence:uhcvi=on_17 on theBenchmark 16.85/17.07 % Time limit reached! 16.85/17.07 % ------------------------------ 16.85/17.07 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 16.85/17.07 % Termination reason: Time limit 16.85/17.07 % Termination phase: Saturation 16.85/17.07 16.85/17.07 % Memory used [KB]: 46694 16.85/17.07 % Time elapsed: 2.400 s 16.85/17.07 % ------------------------------ 16.85/17.07 % ------------------------------ 19.28/17.11 % dis+10_128_acc=on:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:bce=on:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_2 on theBenchmark 19.78/17.61 % Time limit reached! 19.78/17.61 % ------------------------------ 19.78/17.61 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 19.78/17.61 % Termination reason: Time limit 19.78/17.61 % Termination phase: Saturation 19.78/17.61 19.78/17.61 % Memory used [KB]: 27249 19.78/17.61 % Time elapsed: 0.500 s 19.78/17.61 % ------------------------------ 19.78/17.61 % ------------------------------ 19.78/17.64 % ott+1_8_av=off:bd=off:bs=on:cond=on:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:lwlo=on:nwc=1:sos=on_10 on theBenchmark 21.32/19.14 % Time limit reached! 21.32/19.14 % ------------------------------ 21.32/19.14 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 21.32/19.14 % Termination reason: Time limit 21.32/19.14 % Termination phase: Saturation 21.32/19.14 21.32/19.14 % Memory used [KB]: 39402 21.32/19.14 % Time elapsed: 1.500 s 21.32/19.14 % ------------------------------ 21.32/19.14 % ------------------------------ 21.32/19.18 % ins+11_8_av=off:cond=fast:fde=none:gsp=input_only:irw=on:igbrr=0.2:igpr=on:igrr=1/8:igrp=200:igrpq=1.1:igs=1010:igwr=on:lcm=predicate:lma=on:nm=4:nwc=1:sd=2:ss=axioms:st=5.0:sos=on:sp=occurrence:uhcvi=on_3 on theBenchmark 21.92/19.78 % Time limit reached! 21.92/19.78 % ------------------------------ 21.92/19.78 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 21.92/19.78 % Termination reason: Time limit 21.92/19.78 % Termination phase: Saturation 21.92/19.78 21.92/19.78 % Memory used [KB]: 16758 21.92/19.78 % Time elapsed: 0.600 s 21.92/19.78 % ------------------------------ 21.92/19.78 % ------------------------------ 22.01/19.81 % lrs+10_2:3_afp=1000:afq=1.1:amm=sco:anc=none:er=known:lcm=reverse:lwlo=on:nm=64:newcnf=on:nwc=2:stl=30:sd=5:ss=axioms:sos=theory:sac=on:sp=occurrence_271 on theBenchmark 57.49/55.21 % Time limit reached! 57.49/55.21 % ------------------------------ 57.49/55.21 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 57.49/55.21 % Termination reason: Time limit 57.49/55.21 % Termination phase: Saturation 57.49/55.21 57.49/55.21 % Memory used [KB]: 290656 57.49/55.21 % Time elapsed: 35.400 s 57.49/55.21 % ------------------------------ 57.49/55.21 % ------------------------------ 57.59/55.26 % dis+11_5_av=off:bd=off:bs=unit_only:bsr=on:cond=on:lcm=reverse:nm=0:nwc=1.2_5 on theBenchmark 58.48/56.16 % Time limit reached! 58.48/56.16 % ------------------------------ 58.48/56.16 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 58.48/56.16 % Termination reason: Time limit 58.48/56.16 % Termination phase: Saturation 58.48/56.16 58.48/56.16 % Memory used [KB]: 16758 58.48/56.16 % Time elapsed: 0.900 s 58.48/56.16 % ------------------------------ 58.48/56.16 % ------------------------------ 58.55/56.20 % 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_20 on theBenchmark 61.38/59.00 % Time limit reached! 61.38/59.00 % ------------------------------ 61.38/59.00 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 61.38/59.00 % Termination reason: Time limit 61.38/59.00 % Termination phase: Saturation 61.38/59.00 61.38/59.00 % Memory used [KB]: 47461 61.38/59.00 % Time elapsed: 2.800 s 61.38/59.00 % ------------------------------ 61.38/59.00 % ------------------------------ 61.38/59.04 % lrs+1011_3:2_av=off:er=known:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=2:ss=axioms:st=3.0:urr=on:updr=off_5 on theBenchmark 62.29/59.94 % Time limit reached! 62.29/59.94 % ------------------------------ 62.29/59.94 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 62.29/59.94 % Termination reason: Time limit 62.29/59.94 % Termination phase: Saturation 62.29/59.94 62.29/59.94 % Memory used [KB]: 23922 62.29/59.94 % Time elapsed: 0.900 s 62.29/59.94 % ------------------------------ 62.29/59.94 % ------------------------------ 62.29/59.97 % lrs-10_3:2_add=large:afp=100000:afq=1.2:amm=sco:anc=none:cond=fast:ep=RST:fsr=off:fde=unused:gsp=input_only:gs=on:gsem=on:lma=on:nm=16:nwc=1.3:stl=30:sd=2:ss=axioms:st=5.0:sos=on:uhcvi=on_2 on theBenchmark 62.79/60.47 % Time limit reached! 62.79/60.47 % ------------------------------ 62.79/60.47 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 62.79/60.47 % Termination reason: Time limit 62.79/60.47 % Termination phase: Saturation 62.79/60.47 62.79/60.47 % Memory used [KB]: 19701 62.79/60.47 % Time elapsed: 0.500 s 62.79/60.47 % ------------------------------ 62.79/60.47 % ------------------------------ 62.87/60.51 % dis-3_5_av=off:cond=on:gs=on:gsem=off:lcm=predicate:nm=0:nwc=1:sos=on:sp=reverse_arity_3 on theBenchmark 63.00/60.65 % Refutation found. Thanks to Tanya! 63.00/60.65 % SZS status Theorem for theBenchmark 63.00/60.65 % SZS output start Proof for theBenchmark 63.00/60.65 fof(f17,axiom,( 63.00/60.65 class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal)), 63.00/60.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors)). 63.00/60.65 fof(f25,axiom,( 63.00/60.65 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____)), 63.00/60.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_t_I1_J)). 63.00/60.65 fof(f61,axiom,( 63.00/60.65 ! [X5,X2,X3] : (class_Rings_Oring__1__no__zero__divisors(X3) => (c_Groups_Ozero__class_Ozero(X3) != X2 => hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X5) != c_Groups_Ozero__class_Ozero(X3)))), 63.00/60.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_field__power__not__zero)). 63.00/60.65 fof(f236,axiom,( 63.00/60.65 ! [X14,X15,X23] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X23) => (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X23),X15),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X23),X14)) <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X15,X14)))), 63.00/60.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__le__cancel__iff2)). 63.00/60.65 fof(f381,axiom,( 63.00/60.65 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)), 63.00/60.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector)). 63.00/60.65 fof(f412,axiom,( 63.00/60.65 ! [X15,X3] : (class_RealVector_Oreal__normed__vector(X3) => (c_Groups_Ozero__class_Ozero(X3) != X15 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X3,X15))))), 63.00/60.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__norm__iff)). 63.00/60.65 fof(f468,axiom,( 63.00/60.65 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____)), 63.00/60.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_m_I1_J)). 63.00/60.65 fof(f528,axiom,( 63.00/60.65 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),v_m____)), 63.00/60.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096cmod_A_Ipoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_060_061_Am_096)). 63.00/60.65 fof(f533,axiom,( 63.00/60.65 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))), 63.00/60.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__0960_A_060_At_A_094_Ak_096)). 63.00/60.65 fof(f545,axiom,( 63.00/60.65 ! [X36,X37,X38] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X38,X37) => (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X37,X36) => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X38,X36)))), 63.00/60.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__trans)). 63.00/60.65 fof(f575,conjecture,( 63.00/60.65 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))))), 63.00/60.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)). 63.00/60.65 fof(f576,negated_conjecture,( 63.00/60.65 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))))), 63.00/60.65 inference(negated_conjecture,[],[f575])). 63.00/60.65 fof(f679,axiom,( 63.00/60.65 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != v_w____), 63.00/60.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_w0)). 63.00/60.65 fof(f852,axiom,( 63.00/60.65 ! [X14,X15] : ((c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X15,X14) & X14 != X15) <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X15,X14))), 63.00/60.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__less__def)). 63.00/60.65 fof(f917,axiom,( 63.00/60.65 ! [X43,X39] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X39),X43) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X43),X39)), 63.00/60.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__commute)). 63.00/60.65 fof(f1011,axiom,( 63.00/60.65 ! [X0,X3] : (class_RealVector_Oreal__normed__vector(X3) => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X3,X0)))), 63.00/60.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__ge__zero)). 63.00/60.65 fof(f1019,axiom,( 63.00/60.65 hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))))) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))))), 63.00/60.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096cmod_A_I_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_061t_A_094_Ak_A_K_A_It_A_K_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Acmod_A_Ipoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_J_J_096)). 63.00/60.65 fof(f1102,axiom,( 63.00/60.65 ! [X5,X0,X3] : (class_RealVector_Oreal__normed__algebra__1(X3) => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3,hAPP(hAPP(c_Power_Opower__class_Opower(X3),X0),X5)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X3,X0)),X5)))), 63.00/60.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__power__ineq)). 63.00/60.65 fof(f1233,axiom,( 63.00/60.65 ! [X14,X15] : ((c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X15,X14) | X14 = X15) <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X15,X14))), 63.00/60.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__eq__real__def)). 63.00/60.65 fof(f1281,axiom,( 63.00/60.65 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex)), 63.00/60.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1)). 63.00/60.65 fof(f1290,plain,( 63.00/60.65 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))))), 63.00/60.65 inference(flattening,[],[f576])). 63.00/60.65 fof(f1467,plain,( 63.00/60.65 ! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0)), 63.00/60.65 inference(rectify,[],[f917])). 63.00/60.65 fof(f1531,plain,( 63.00/60.65 ! [X0,X1] : (class_RealVector_Oreal__normed__vector(X1) => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0)))), 63.00/60.65 inference(rectify,[],[f1011])). 63.00/60.65 fof(f1536,plain,( 63.00/60.65 ! [X0,X1] : (class_RealVector_Oreal__normed__vector(X1) => (c_Groups_Ozero__class_Ozero(X1) != X0 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))))), 63.00/60.65 inference(rectify,[],[f412])). 63.00/60.65 fof(f1735,plain,( 63.00/60.65 ! [X0,X1] : ((c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) & X0 != X1) <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0))), 63.00/60.65 inference(rectify,[],[f852])). 63.00/60.65 fof(f1741,plain,( 63.00/60.65 ! [X0,X1] : ((c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) | X0 = X1) <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0))), 63.00/60.65 inference(rectify,[],[f1233])). 63.00/60.65 fof(f1781,plain,( 63.00/60.65 ! [X0,X1,X2] : (class_RealVector_Oreal__normed__algebra__1(X2) => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1)),X0)))), 63.00/60.65 inference(rectify,[],[f1102])). 63.00/60.65 fof(f1866,plain,( 63.00/60.65 ! [X0,X1,X2] : (class_Rings_Oring__1__no__zero__divisors(X2) => (c_Groups_Ozero__class_Ozero(X2) != X1 => hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0) != c_Groups_Ozero__class_Ozero(X2)))), 63.00/60.65 inference(rectify,[],[f61])). 63.00/60.65 fof(f2015,plain,( 63.00/60.65 ! [X0,X1,X2] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) => (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)))), 63.00/60.65 inference(rectify,[],[f545])). 63.00/60.65 fof(f2034,plain,( 63.00/60.65 ! [X0,X1,X2] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) => (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0)) <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)))), 63.00/60.65 inference(rectify,[],[f236])). 63.00/60.65 fof(f2464,plain,( 63.00/60.65 ! [X0,X1] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0)) | ~class_RealVector_Oreal__normed__vector(X1))), 63.00/60.65 inference(ennf_transformation,[],[f1531])). 63.00/60.65 fof(f2469,plain,( 63.00/60.65 ! [X0,X1] : ((c_Groups_Ozero__class_Ozero(X1) != X0 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))) | ~class_RealVector_Oreal__normed__vector(X1))), 63.00/60.65 inference(ennf_transformation,[],[f1536])). 63.00/60.65 fof(f2692,plain,( 63.00/60.65 ! [X0,X1,X2] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1)),X0)) | ~class_RealVector_Oreal__normed__algebra__1(X2))), 63.00/60.65 inference(ennf_transformation,[],[f1781])). 63.00/60.65 fof(f2802,plain,( 63.00/60.65 ! [X0,X1,X2] : ((hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0) != c_Groups_Ozero__class_Ozero(X2) | c_Groups_Ozero__class_Ozero(X2) = X1) | ~class_Rings_Oring__1__no__zero__divisors(X2))), 63.00/60.65 inference(ennf_transformation,[],[f1866])). 63.00/60.65 fof(f2803,plain,( 63.00/60.65 ! [X0,X1,X2] : (hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0) != c_Groups_Ozero__class_Ozero(X2) | c_Groups_Ozero__class_Ozero(X2) = X1 | ~class_Rings_Oring__1__no__zero__divisors(X2))), 63.00/60.65 inference(flattening,[],[f2802])). 63.00/60.65 fof(f3019,plain,( 63.00/60.65 ! [X0,X1,X2] : ((c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1))), 63.00/60.65 inference(ennf_transformation,[],[f2015])). 63.00/60.65 fof(f3020,plain,( 63.00/60.65 ! [X0,X1,X2] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1))), 63.00/60.65 inference(flattening,[],[f3019])). 63.00/60.65 fof(f3049,plain,( 63.00/60.65 ! [X0,X1,X2] : ((c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0)) <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2))), 63.00/60.65 inference(ennf_transformation,[],[f2034])). 63.00/60.65 fof(f3457,plain,( 63.00/60.65 ! [X0,X1] : (((c_Groups_Ozero__class_Ozero(X1) != X0 | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))) & (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0)) | c_Groups_Ozero__class_Ozero(X1) = X0)) | ~class_RealVector_Oreal__normed__vector(X1))), 63.00/60.65 inference(nnf_transformation,[],[f2469])). 63.00/60.65 fof(f3540,plain,( 63.00/60.65 ! [X0,X1] : (((c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) & X0 != X1) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)) & (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) | (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) | X0 = X1)))), 63.00/60.65 inference(nnf_transformation,[],[f1735])). 63.00/60.65 fof(f3541,plain,( 63.00/60.65 ! [X0,X1] : (((c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) & X0 != X1) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)) & (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) | X0 = X1))), 63.00/60.65 inference(flattening,[],[f3540])). 63.00/60.65 fof(f3552,plain,( 63.00/60.65 ! [X0,X1] : (((c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) | X0 = X1) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) | (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) & X0 != X1)))), 63.00/60.65 inference(nnf_transformation,[],[f1741])). 63.00/60.65 fof(f3553,plain,( 63.00/60.65 ! [X0,X1] : ((c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) | X0 = X1 | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) | (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) & X0 != X1)))), 63.00/60.65 inference(flattening,[],[f3552])). 63.00/60.65 fof(f3654,plain,( 63.00/60.65 ! [X0,X1,X2] : (((c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0)))) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2))), 63.00/60.65 inference(nnf_transformation,[],[f3049])). 63.00/60.65 fof(f3761,plain,( 63.00/60.65 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))))), 63.00/60.65 inference(cnf_transformation,[],[f1290])). 63.00/60.65 fof(f3772,plain,( 63.00/60.65 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex)), 63.00/60.65 inference(cnf_transformation,[],[f1281])). 63.00/60.65 fof(f3784,plain,( 63.00/60.65 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)), 63.00/60.65 inference(cnf_transformation,[],[f381])). 63.00/60.65 fof(f3825,plain,( 63.00/60.65 class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal)), 63.00/60.65 inference(cnf_transformation,[],[f17])). 63.00/60.65 fof(f3986,plain,( 63.00/60.65 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != v_w____), 63.00/60.65 inference(cnf_transformation,[],[f679])). 63.00/60.65 fof(f3992,plain,( 63.00/60.65 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____)), 63.00/60.65 inference(cnf_transformation,[],[f468])). 63.00/60.65 fof(f3993,plain,( 63.00/60.65 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____)), 63.00/60.65 inference(cnf_transformation,[],[f25])). 63.00/60.65 fof(f4014,plain,( 63.00/60.65 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))), 63.00/60.65 inference(cnf_transformation,[],[f533])). 63.00/60.65 fof(f4024,plain,( 63.00/60.65 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),v_m____)), 63.00/60.65 inference(cnf_transformation,[],[f528])). 63.00/60.65 fof(f4036,plain,( 63.00/60.65 hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))))) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))))), 63.00/60.65 inference(cnf_transformation,[],[f1019])). 63.00/60.65 fof(f4260,plain,( 63.00/60.65 ( ! [X0,X1] : (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0)) )), 63.00/60.65 inference(cnf_transformation,[],[f1467])). 63.00/60.65 fof(f4342,plain,( 63.00/60.65 ( ! [X0,X1] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0)) | ~class_RealVector_Oreal__normed__vector(X1)) )), 63.00/60.65 inference(cnf_transformation,[],[f2464])). 63.00/60.65 fof(f4348,plain,( 63.00/60.65 ( ! [X0,X1] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0)) | c_Groups_Ozero__class_Ozero(X1) = X0 | ~class_RealVector_Oreal__normed__vector(X1)) )), 63.00/60.65 inference(cnf_transformation,[],[f3457])). 63.00/60.65 fof(f4630,plain,( 63.00/60.65 ( ! [X0,X1] : (X0 != X1 | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)) )), 63.00/60.65 inference(cnf_transformation,[],[f3541])). 63.00/60.65 fof(f4647,plain,( 63.00/60.65 ( ! [X0,X1] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) | X0 != X1) )), 63.00/60.65 inference(cnf_transformation,[],[f3553])). 63.00/60.65 fof(f4649,plain,( 63.00/60.65 ( ! [X0,X1] : (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) | X0 = X1 | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)) )), 63.00/60.65 inference(cnf_transformation,[],[f3553])). 63.00/60.65 fof(f4699,plain,( 63.00/60.65 ( ! [X2,X0,X1] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1)),X0)) | ~class_RealVector_Oreal__normed__algebra__1(X2)) )), 63.00/60.65 inference(cnf_transformation,[],[f2692])). 63.00/60.65 fof(f4830,plain,( 63.00/60.65 ( ! [X2,X0,X1] : (hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0) != c_Groups_Ozero__class_Ozero(X2) | c_Groups_Ozero__class_Ozero(X2) = X1 | ~class_Rings_Oring__1__no__zero__divisors(X2)) )), 63.00/60.65 inference(cnf_transformation,[],[f2803])). 63.00/60.65 fof(f5023,plain,( 63.00/60.65 ( ! [X2,X0,X1] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)) )), 63.00/60.65 inference(cnf_transformation,[],[f3020])). 63.00/60.65 fof(f5052,plain,( 63.00/60.65 ( ! [X2,X0,X1] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)) )), 63.00/60.65 inference(cnf_transformation,[],[f3654])). 63.00/60.65 fof(f5457,plain,( 63.00/60.65 ( ! [X1] : (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1)) )), 63.00/60.65 inference(equality_resolution,[],[f4630])). 63.00/60.65 fof(f5465,plain,( 63.00/60.65 ( ! [X1] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1)) )), 63.00/60.65 inference(equality_resolution,[],[f4647])). 63.00/60.65 fof(f5575,plain,( 63.00/60.65 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))))), 63.00/60.65 inference(forward_demodulation,[],[f3761,f4260])). 63.00/60.65 fof(f5576,plain,( 63.00/60.65 ( ! [X0] : (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),X0) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))))) )), 63.00/60.65 inference(resolution,[],[f5575,f5023])). 63.00/60.65 fof(f5589,plain,( 63.00/60.65 ( ! [X2,X3] : (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),X3)) )), 63.00/60.65 inference(resolution,[],[f5576,f5023])). 63.00/60.65 fof(f5667,plain,( 63.00/60.65 ( ! [X8,X7] : (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),X8)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),X7) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))) )), 63.00/60.65 inference(resolution,[],[f5589,f5052])). 63.00/60.65 fof(f5753,plain,( 63.00/60.65 ( ! [X8,X7] : (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),X8)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),X7) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))) )), 63.00/60.65 inference(subsumption_resolution,[],[f5667,f4014])). 63.00/60.65 fof(f6214,plain,( 63.00/60.65 ( ! [X0] : (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),X0)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))) )), 63.00/60.65 inference(resolution,[],[f5753,f5465])). 63.00/60.65 fof(f6285,plain,( 63.00/60.65 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))))) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))), 63.00/60.65 inference(superposition,[],[f6214,f4036])). 63.00/60.65 fof(f6286,plain,( 63.00/60.65 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))), 63.00/60.65 inference(subsumption_resolution,[],[f6285,f5465])). 63.00/60.65 fof(f6287,plain,( 63.00/60.65 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____)), 63.00/60.65 inference(resolution,[],[f6286,f5052])). 63.00/60.65 fof(f6291,plain,( 63.00/60.65 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))), 63.00/60.65 inference(subsumption_resolution,[],[f6287,f3993])). 63.00/60.65 fof(f6293,plain,( 63.00/60.65 ( ! [X0] : (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),X0) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))) )), 63.00/60.65 inference(resolution,[],[f6291,f5023])). 63.00/60.65 fof(f6303,plain,( 63.00/60.65 ( ! [X4,X3] : (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4,X3) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),X4)) )), 63.00/60.65 inference(resolution,[],[f6293,f5023])). 63.00/60.65 fof(f6604,plain,( 63.00/60.65 ( ! [X10,X9] : (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),X10)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),X9) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____)) )), 63.00/60.65 inference(resolution,[],[f6303,f5052])). 63.00/60.65 fof(f6729,plain,( 63.00/60.65 ( ! [X10,X9] : (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),X10)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),X9) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )), 63.00/60.65 inference(subsumption_resolution,[],[f6604,f3992])). 63.00/60.65 fof(f7036,plain,( 63.00/60.65 ( ! [X0] : (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),X0)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )), 63.00/60.65 inference(resolution,[],[f6729,f5465])). 63.00/60.65 fof(f7100,plain,( 63.00/60.65 ( ! [X0] : (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),v_m____)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )), 63.00/60.65 inference(superposition,[],[f7036,f4260])). 63.00/60.65 fof(f7185,plain,( 63.00/60.65 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),v_m____) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))), 63.00/60.65 inference(resolution,[],[f7100,f5052])). 63.00/60.65 fof(f7195,plain,( 63.00/60.65 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),v_m____) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))), 63.00/60.65 inference(subsumption_resolution,[],[f7185,f5465])). 63.00/60.65 fof(f7196,plain,( 63.00/60.65 ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))), 63.00/60.65 inference(subsumption_resolution,[],[f7195,f4024])). 63.00/60.65 fof(f7197,plain,( 63.00/60.65 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), 63.00/60.65 inference(resolution,[],[f7196,f4649])). 63.00/60.65 fof(f7201,plain,( 63.00/60.65 ( ! [X0] : (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)) )), 63.00/60.65 inference(resolution,[],[f7197,f5023])). 63.00/60.65 fof(f7379,plain,( 63.00/60.65 hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) | ~class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex)), 63.00/60.65 inference(resolution,[],[f7201,f4699])). 63.00/60.65 fof(f7383,plain,( 63.00/60.65 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) | hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), 63.00/60.65 inference(subsumption_resolution,[],[f7379,f3772])). 63.00/60.65 fof(f7384,plain,( 63.00/60.65 hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) | ~class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)), 63.00/60.65 inference(resolution,[],[f7383,f4342])). 63.00/60.65 fof(f7389,plain,( 63.00/60.65 hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), 63.00/60.65 inference(subsumption_resolution,[],[f7384,f3784])). 63.00/60.65 fof(f7518,plain,( 63.00/60.65 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____) | ~class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal)), 63.00/60.65 inference(superposition,[],[f4830,f7389])). 63.00/60.65 fof(f7533,plain,( 63.00/60.65 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____) | ~class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal)), 63.00/60.65 inference(trivial_inequality_removal,[],[f7518])). 63.00/60.65 fof(f7573,plain,( 63.00/60.65 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)), 63.00/60.65 inference(subsumption_resolution,[],[f7533,f3825])). 63.00/60.65 fof(f7603,plain,( 63.00/60.65 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v_w____ | ~class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)), 63.00/60.65 inference(superposition,[],[f4348,f7573])). 63.00/60.65 fof(f7627,plain,( 63.00/60.65 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v_w____ | ~class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)), 63.00/60.65 inference(subsumption_resolution,[],[f7603,f5457])). 63.00/60.65 fof(f7628,plain,( 63.00/60.65 ~class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)), 63.00/60.65 inference(subsumption_resolution,[],[f7627,f3986])). 63.00/60.65 fof(f7629,plain,( 63.00/60.65 $false), 63.00/60.65 inference(subsumption_resolution,[],[f7628,f3784])). 63.00/60.65 % SZS output end Proof for theBenchmark 63.00/60.65 % ------------------------------ 63.00/60.65 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 63.00/60.65 % Termination reason: Refutation 63.00/60.65 63.00/60.65 % Memory used [KB]: 11129 63.00/60.65 % Time elapsed: 0.146 s 63.00/60.65 % ------------------------------ 63.00/60.65 % ------------------------------ 63.00/60.65 % Success in time 60.41 s 63.00/60.66 EOF