0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.12/0.34 % Computer : n026.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 04:58:49 EDT 2022 0.12/0.34 % CPUTime : 0.12/0.34 This is a THF_ problem 0.12/0.34 Running vampire --ignore_missing on --mode portfolio --schedule casc_hol_2020 -p tptp -om szs --cores 8 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.12/0.34 % (17314)Running in auto input_syntax mode. Trying TPTP 0.19/0.42 % (17316)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_2 on theBenchmark 0.19/0.42 % (17317)lrs+1011_8_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=on:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark 0.19/0.42 % (17322)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark 0.19/0.42 % (17319)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 0.19/0.42 % (17320)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off_14 on theBenchmark 0.19/0.42 % (17318)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=4000:afq=1.4:amm=off:bd=preordered: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 0.19/0.42 % (17321)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_3 on theBenchmark 0.19/0.42 % (17315)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark 0.19/0.43 % (17319)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.19/0.43 % (17322)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.19/0.43 % (17321)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 0.19/0.44 % (17317)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 0.19/0.46 % (17318)Refutation not found, incomplete strategy% (17318)------------------------------ 0.19/0.46 % (17318)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.19/0.46 % (17318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.46 % (17318)Termination reason: Refutation not found, incomplete strategy 0.19/0.46 0.19/0.46 % (17318)Memory used [KB]: 11641 0.19/0.46 % (17318)Time elapsed: 0.049 s 0.19/0.46 % (17318)------------------------------ 0.19/0.46 % (17318)------------------------------ 0.19/0.48 % (17317)Refutation not found, incomplete strategy% (17317)------------------------------ 0.19/0.48 % (17317)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.19/0.48 % (17317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.48 % (17317)Termination reason: Refutation not found, incomplete strategy 0.19/0.48 0.19/0.48 % (17317)Memory used [KB]: 11257 0.19/0.48 % (17317)Time elapsed: 0.064 s 0.19/0.48 % (17317)------------------------------ 0.19/0.48 % (17317)------------------------------ 0.19/0.52 % (17323)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gsp=on:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 1.46/0.54 % (17324)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=on:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark 1.46/0.54 % (17323)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 1.46/0.55 % (17324)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs. 1.67/0.56 % (17324)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs. 4.03/0.91 % (17316)Time limit reached! 4.03/0.91 % (17316)------------------------------ 4.03/0.91 % (17316)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 4.03/0.91 % (17316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 4.03/0.91 % (17316)Termination reason: Time limit 4.03/0.91 % (17316)Termination phase: Saturation 4.03/0.91 4.03/0.91 % (17316)Memory used [KB]: 15607 4.03/0.91 % (17316)Time elapsed: 0.500 s 4.03/0.91 % (17316)------------------------------ 4.03/0.91 % (17316)------------------------------ 4.03/0.91 % (17315)Time limit reached! 4.03/0.91 % (17315)------------------------------ 4.03/0.91 % (17315)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 4.03/0.91 % (17315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 4.03/0.91 % (17315)Termination reason: Time limit 4.03/0.91 % (17315)Termination phase: Saturation 4.03/0.91 4.03/0.91 % (17315)Memory used [KB]: 5245 4.03/0.91 % (17315)Time elapsed: 0.500 s 4.03/0.91 % (17315)------------------------------ 4.03/0.91 % (17315)------------------------------ 4.70/0.97 % (17325)dis+10_128_acc=on:add=off:add=off:afp=4000:afq=1.4:amm=off:bd=preordered: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_40 on theBenchmark 4.70/0.98 % (17326)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_2 on theBenchmark 4.94/1.01 % (17321)Time limit reached! 4.94/1.01 % (17321)------------------------------ 4.94/1.01 % (17321)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 4.94/1.01 % (17321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 4.94/1.01 % (17321)Termination reason: Time limit 4.94/1.01 % (17321)Termination phase: Saturation 4.94/1.01 4.94/1.01 % (17321)Memory used [KB]: 17270 4.94/1.01 % (17321)Time elapsed: 0.600 s 4.94/1.01 % (17321)------------------------------ 4.94/1.01 % (17321)------------------------------ 4.94/1.02 % (17325)Refutation not found, incomplete strategy% (17325)------------------------------ 4.94/1.02 % (17325)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 4.94/1.02 % (17325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 4.94/1.02 % (17325)Termination reason: Refutation not found, incomplete strategy 4.94/1.02 4.94/1.02 % (17325)Memory used [KB]: 11897 4.94/1.02 % (17325)Time elapsed: 0.050 s 4.94/1.02 % (17325)------------------------------ 4.94/1.02 % (17325)------------------------------ 5.33/1.04 % (17326)Refutation not found, incomplete strategy% (17326)------------------------------ 5.33/1.04 % (17326)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 5.33/1.04 % (17326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 5.33/1.04 % (17326)Termination reason: Refutation not found, incomplete strategy 5.33/1.04 5.33/1.04 % (17326)Memory used [KB]: 11385 5.33/1.04 % (17326)Time elapsed: 0.062 s 5.33/1.04 % (17326)------------------------------ 5.33/1.04 % (17326)------------------------------ 5.33/1.08 % (17327)dis+1002_6_add=large:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_2 on theBenchmark 5.69/1.10 % (17328)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark 5.69/1.10 % (17323)First to succeed. 5.69/1.11 % (17323)Refutation found. Thanks to Tanya! 5.69/1.11 % SZS status Theorem for theBenchmark 5.69/1.11 % SZS output start Proof for theBenchmark 5.69/1.11 thf(type_def_5, type, nat: $tType). 5.69/1.11 thf(type_def_6, type, real: $tType). 5.69/1.11 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType). 5.69/1.11 thf(func_def_0, type, real: $tType). 5.69/1.11 thf(func_def_1, type, nat: $tType). 5.69/1.11 thf(func_def_2, type, genClo1161277105lle_PC: nat > real > real). 5.69/1.11 thf(func_def_3, type, genClo1278781456e_beta: real). 5.69/1.11 thf(func_def_4, type, genClo872980712lle_mu: real). 5.69/1.11 thf(func_def_5, type, genClo1144207539le_rho: real). 5.69/1.11 thf(func_def_6, type, genClo1015804716orrect: nat > real > $o). 5.69/1.11 thf(func_def_7, type, genClo293725282kRead2: (nat > real) > (nat > real) > real > (nat > $o) > $o). 5.69/1.11 thf(func_def_8, type, genClo1650508560e_rmax: real). 5.69/1.11 thf(func_def_9, type, genClo1651033342e_rmin: real). 5.69/1.11 thf(func_def_10, type, genClo1163638703lle_te: nat > nat > real). 5.69/1.11 thf(func_def_11, type, abs_abs_real: real > real). 5.69/1.11 thf(func_def_12, type, minus_minus_nat: nat > nat > nat). 5.69/1.11 thf(func_def_13, type, minus_minus_real: real > real > real). 5.69/1.11 thf(func_def_14, type, one_one_nat: nat). 5.69/1.11 thf(func_def_15, type, one_one_real: real). 5.69/1.11 thf(func_def_16, type, plus_plus_nat: nat > nat > nat). 5.69/1.11 thf(func_def_17, type, plus_plus_real: real > real > real). 5.69/1.11 thf(func_def_18, type, times_times_nat: nat > nat > nat). 5.69/1.11 thf(func_def_19, type, times_times_real: real > real > real). 5.69/1.11 thf(func_def_20, type, zero_zero_nat: nat). 5.69/1.11 thf(func_def_21, type, zero_zero_real: real). 5.69/1.11 thf(func_def_22, type, ord_less_eq_nat: nat > nat > $o). 5.69/1.11 thf(func_def_23, type, ord_less_eq_real: real > real > $o). 5.69/1.11 thf(func_def_24, type, i: nat). 5.69/1.11 thf(func_def_25, type, l: nat). 5.69/1.11 thf(func_def_26, type, p: nat). 5.69/1.11 thf(func_def_27, type, q: nat). 5.69/1.11 thf(func_def_29, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)). 5.69/1.11 thf(func_def_32, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)). 5.69/1.11 thf(func_def_33, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)). 5.69/1.11 thf(func_def_34, type, vIMP: $o > $o > $o). 5.69/1.11 thf(func_def_35, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)). 5.69/1.11 thf(func_def_36, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)). 5.69/1.11 thf(func_def_37, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)). 5.69/1.11 thf(func_def_38, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)). 5.69/1.11 thf(func_def_39, type, vOR: $o > $o > $o). 5.69/1.11 thf(func_def_40, type, vAND: $o > $o > $o). 5.69/1.11 thf(func_def_41, type, sP0: (nat > $o) > nat > $o). 5.69/1.11 thf(func_def_42, type, sK1: nat > nat > nat). 5.69/1.11 thf(func_def_43, type, sK2: nat > nat > nat). 5.69/1.11 thf(func_def_44, type, sK3: (nat > $o) > nat > nat). 5.69/1.11 thf(func_def_45, type, sK4: (nat > $o) > nat). 5.69/1.11 thf(func_def_49, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)). 5.69/1.11 thf(func_def_50, type, vNOT: $o > $o). 5.69/1.11 thf(func_def_51, type, iCOMB: !>[X0: $tType]:(X0 > X0)). 5.69/1.11 thf(func_def_52, type, sK5: nat). 5.69/1.11 thf(func_def_53, type, sK6: nat). 5.69/1.11 thf(func_def_54, type, sK7: nat). 5.69/1.11 thf(func_def_55, type, sK8: nat > nat > nat > nat). 5.69/1.11 thf(func_def_56, type, sK9: nat > nat > nat > nat > nat). 5.69/1.11 thf(func_def_57, type, sK10: nat > nat > nat > nat > nat). 5.69/1.11 thf(func_def_58, type, sK11: nat > nat > nat > nat > nat). 5.69/1.11 thf(func_def_59, type, sK12: nat > nat > nat > nat > nat). 5.69/1.11 thf(func_def_60, type, sK13: nat > nat > nat > nat). 5.69/1.11 thf(func_def_61, type, sK14: nat > nat > nat > nat). 5.69/1.11 thf(func_def_62, type, sK15: nat > nat > nat). 5.69/1.11 thf(func_def_63, type, sK16: nat > nat > nat). 5.69/1.11 thf(func_def_64, type, sK17: nat > nat > nat > nat). 5.69/1.11 thf(func_def_65, type, sK18: nat > nat > nat). 5.69/1.11 thf(func_def_66, type, sK19: nat > nat > nat). 5.69/1.11 thf(func_def_67, type, sK20: nat > nat > nat). 5.69/1.11 thf(func_def_68, type, sK21: nat > nat > nat). 5.69/1.11 thf(func_def_69, type, sK22: nat > nat > nat > nat). 5.69/1.11 thf(func_def_70, type, sK23: nat > nat > nat > nat). 5.69/1.11 thf(func_def_71, type, sK24: nat > nat > nat > nat). 5.69/1.11 thf(func_def_72, type, sK25: nat > nat > nat > nat). 5.69/1.11 thf(func_def_73, type, sK26: nat > nat > nat > nat). 5.69/1.11 thf(func_def_74, type, sK27: nat > nat > nat > nat). 5.69/1.11 thf(func_def_75, type, sK28: nat > nat > nat > nat). 5.69/1.11 thf(func_def_76, type, sK29: nat > nat > nat > nat). 5.69/1.11 thf(func_def_77, type, sK30: nat > nat > nat). 5.69/1.11 thf(func_def_78, type, sK31: nat > nat > nat > nat). 5.69/1.11 thf(func_def_79, type, sK32: nat > nat > nat). 5.69/1.11 thf(func_def_80, type, sK33: nat > nat > nat > nat). 5.69/1.11 thf(func_def_81, type, sK34: nat > nat > nat). 5.69/1.11 thf(func_def_82, type, sK35: nat > nat > nat > nat). 5.69/1.11 thf(func_def_83, type, sK36: nat > nat > nat > nat). 5.69/1.11 thf(func_def_84, type, sK37: nat > nat > nat > nat). 5.69/1.11 thf(func_def_85, type, sK38: nat > nat > nat > nat). 5.69/1.11 thf(func_def_86, type, sK39: nat > nat > nat > nat). 5.69/1.11 thf(func_def_87, type, sK40: nat > nat > nat > nat). 5.69/1.11 thf(func_def_88, type, sK41: nat > nat > nat > nat). 5.69/1.11 thf(func_def_89, type, sK42: nat > nat > nat > nat). 5.69/1.11 thf(func_def_90, type, sK43: (nat > $o) > nat > nat). 5.69/1.11 thf(func_def_91, type, sK44: nat > nat > nat > nat). 5.69/1.11 thf(func_def_92, type, sK45: nat > nat > nat > nat). 5.69/1.11 thf(func_def_93, type, sK46: nat > nat > nat > nat). 5.69/1.11 thf(func_def_94, type, sK47: nat > nat > nat). 5.69/1.11 thf(func_def_95, type, sK48: nat > nat > nat > nat). 5.69/1.11 thf(func_def_96, type, sK49: nat > nat > nat). 5.69/1.11 thf(func_def_97, type, sK50: nat > nat > nat > nat). 5.69/1.11 thf(func_def_98, type, sK51: nat > nat > nat). 5.69/1.11 thf(func_def_99, type, sK52: nat > nat > nat). 5.69/1.11 thf(func_def_100, type, sK53: nat > nat > nat). 5.69/1.11 thf(func_def_101, type, sK54: nat > nat > nat). 5.69/1.11 thf(func_def_102, type, sK55: nat > nat > nat). 5.69/1.11 thf(func_def_103, type, sK56: nat > nat > nat). 5.69/1.11 thf(func_def_104, type, sK57: nat > nat). 5.69/1.11 thf(func_def_105, type, sK58: nat > nat > nat). 5.69/1.11 thf(func_def_106, type, sK59: nat > nat > nat). 5.69/1.11 thf(func_def_107, type, sK60: nat > nat > nat). 5.69/1.11 thf(func_def_108, type, sK61: nat > nat > nat). 5.69/1.11 thf(func_def_109, type, sK62: nat > nat). 5.69/1.11 thf(func_def_110, type, sK63: nat > nat > nat). 5.69/1.11 thf(func_def_111, type, sK64: nat > nat). 5.69/1.11 thf(func_def_112, type, sK65: nat > nat > nat). 5.69/1.11 thf(func_def_113, type, sK66: nat > nat). 5.69/1.11 thf(func_def_114, type, sK67: nat > nat > nat). 5.69/1.11 thf(func_def_115, type, sK68: nat > nat). 5.69/1.11 thf(func_def_116, type, sK69: nat > nat). 5.69/1.11 thf(func_def_117, type, sK70: nat > nat). 5.69/1.11 thf(func_def_118, type, sK71: nat > nat). 5.69/1.11 thf(func_def_119, type, sK72: nat > nat). 5.69/1.11 thf(func_def_120, type, sK73: nat > nat). 5.69/1.11 thf(func_def_121, type, sK74: nat > nat). 5.69/1.11 thf(func_def_122, type, sK75: nat > nat). 5.69/1.11 thf(func_def_123, type, sK76: nat > nat). 5.69/1.11 thf(func_def_124, type, inv_plus_plus_real_77: real > real > real). 5.69/1.11 thf(func_def_125, type, inv_plus_plus_real_78: real > real > real). 5.69/1.11 thf(func_def_126, type, inv_plus_plus_nat_79: nat > nat > nat). 5.69/1.11 thf(func_def_127, type, inv_plus_plus_nat_80: nat > nat > nat). 5.69/1.11 thf(f7040,plain,( 5.69/1.11 $false), 5.69/1.11 inference(unit_resulting_resolution,[],[f3010,f3008,f6049,f1254])). 5.69/1.11 thf(f1254,plain,( 5.69/1.11 ( ! [X2 : nat,X0 : nat,X1 : nat] : (($true != vAPP(real,$o,vAPP(nat,sTfun(real,$o),genClo1015804716orrect,X1),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X1),X2))) | ($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,vAPP(real,real,abs_abs_real,vAPP(real,real,vAPP(real,sTfun(real,real),minus_minus_real,vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X0),X2)),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X1),X2)))),genClo1278781456e_beta)) | ($true != vAPP(real,$o,vAPP(nat,sTfun(real,$o),genClo1015804716orrect,X0),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X0),X2)))) )), 5.69/1.11 inference(cnf_transformation,[],[f882])). 5.69/1.11 thf(f882,plain,( 5.69/1.11 ! [X0 : nat,X1 : nat,X2 : nat] : (($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,vAPP(real,real,abs_abs_real,vAPP(real,real,vAPP(real,sTfun(real,real),minus_minus_real,vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X0),X2)),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X1),X2)))),genClo1278781456e_beta)) | ($true != vAPP(real,$o,vAPP(nat,sTfun(real,$o),genClo1015804716orrect,X1),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X1),X2))) | ($true != vAPP(real,$o,vAPP(nat,sTfun(real,$o),genClo1015804716orrect,X0),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X0),X2))))), 5.69/1.11 inference(flattening,[],[f881])). 5.69/1.11 thf(f881,plain,( 5.69/1.11 ! [X0 : nat,X1 : nat,X2 : nat] : (($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,vAPP(real,real,abs_abs_real,vAPP(real,real,vAPP(real,sTfun(real,real),minus_minus_real,vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X0),X2)),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X1),X2)))),genClo1278781456e_beta)) | (($true != vAPP(real,$o,vAPP(nat,sTfun(real,$o),genClo1015804716orrect,X1),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X1),X2))) | ($true != vAPP(real,$o,vAPP(nat,sTfun(real,$o),genClo1015804716orrect,X0),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X0),X2)))))), 5.69/1.11 inference(ennf_transformation,[],[f543])). 5.69/1.11 thf(f543,plain,( 5.69/1.11 ! [X0 : nat,X1 : nat,X2 : nat] : ((($true = vAPP(real,$o,vAPP(nat,sTfun(real,$o),genClo1015804716orrect,X1),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X1),X2))) & ($true = vAPP(real,$o,vAPP(nat,sTfun(real,$o),genClo1015804716orrect,X0),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X0),X2)))) => ($true = vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,vAPP(real,real,abs_abs_real,vAPP(real,real,vAPP(real,sTfun(real,real),minus_minus_real,vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X0),X2)),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X1),X2)))),genClo1278781456e_beta)))), 5.69/1.11 inference(fool_elimination,[],[f542])). 5.69/1.11 thf(f542,plain,( 5.69/1.11 ! [X0 : nat,X1 : nat,X2 : nat] : ((vAPP(real,$o,vAPP(nat,sTfun(real,$o),genClo1015804716orrect,X1),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X1),X2)) & vAPP(real,$o,vAPP(nat,sTfun(real,$o),genClo1015804716orrect,X0),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X0),X2))) => vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,vAPP(real,real,abs_abs_real,vAPP(real,real,vAPP(real,sTfun(real,real),minus_minus_real,vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X0),X2)),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X1),X2)))),genClo1278781456e_beta))), 5.69/1.11 inference(rectify,[],[f41])). 5.69/1.11 thf(f41,axiom,( 5.69/1.11 ! [X14 : nat,X17 : nat,X18 : nat] : ((vAPP(real,$o,vAPP(nat,sTfun(real,$o),genClo1015804716orrect,X17),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X17),X18)) & vAPP(real,$o,vAPP(nat,sTfun(real,$o),genClo1015804716orrect,X14),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X14),X18))) => vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,vAPP(real,real,abs_abs_real,vAPP(real,real,vAPP(real,sTfun(real,real),minus_minus_real,vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X14),X18)),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,X17),X18)))),genClo1278781456e_beta))), 5.69/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 5.69/1.11 thf(f6049,plain,( 5.69/1.11 ($true != vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,vAPP(real,real,abs_abs_real,vAPP(real,real,vAPP(real,sTfun(real,real),minus_minus_real,vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,p),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),i))),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,q),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),i))))),genClo1278781456e_beta))), 5.69/1.11 inference(forward_demodulation,[],[f1011,f3007])). 5.69/1.11 thf(f3007,plain,( 5.69/1.11 ( ! [X0 : nat,X1 : nat] : ((vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,X1),X0) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,X0),X1))) )), 5.69/1.11 inference(backward_demodulation,[],[f2179,f2932])). 5.69/1.11 thf(f2932,plain,( 5.69/1.11 ( ! [X6 : nat,X7 : nat] : ((vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),sK53,X7),X6) = X7)) )), 5.69/1.11 inference(forward_demodulation,[],[f2918,f1101])). 5.69/1.11 thf(f1101,plain,( 5.69/1.11 ( ! [X0 : nat,X1 : nat] : ((vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus_nat,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,X0),X1)),X1) = X0)) )), 5.69/1.11 inference(cnf_transformation,[],[f734])). 5.69/1.11 thf(f734,plain,( 5.69/1.11 ! [X0 : nat,X1 : nat] : (vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus_nat,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,X0),X1)),X1) = X0)), 5.69/1.11 inference(rectify,[],[f142])). 5.69/1.11 thf(f142,axiom,( 5.69/1.11 ! [X6 : nat,X8 : nat] : (vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus_nat,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,X6),X8)),X8) = X6)), 5.69/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 5.69/1.11 thf(f2918,plain,( 5.69/1.11 ( ! [X6 : nat,X7 : nat] : ((vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),sK53,X7),X6) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus_nat,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,X7),X6)),X6))) )), 5.69/1.11 inference(superposition,[],[f1100,f2179])). 5.69/1.11 thf(f1100,plain,( 5.69/1.11 ( ! [X0 : nat,X1 : nat] : ((vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus_nat,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,X0),X1)),X0) = X1)) )), 5.69/1.11 inference(cnf_transformation,[],[f733])). 5.69/1.11 thf(f733,plain,( 5.69/1.11 ! [X0 : nat,X1 : nat] : (vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus_nat,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,X0),X1)),X0) = X1)), 5.69/1.11 inference(rectify,[],[f283])). 5.69/1.11 thf(f283,axiom,( 5.69/1.11 ! [X0 : nat,X2 : nat] : (vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),minus_minus_nat,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,X0),X2)),X0) = X2)), 5.69/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 5.69/1.11 thf(f2179,plain,( 5.69/1.11 ( ! [X0 : nat,X1 : nat] : ((vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,X1),X0) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,X0),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),sK53,X1),X0)))) )), 5.69/1.11 inference(equality_proxy_clausification,[],[f2178])). 5.69/1.11 thf(f2178,plain,( 5.69/1.11 ( ! [X0 : nat,X1 : nat] : (($true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),vEQ(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,X0),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),sK53,X1),X0))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,X1),X0)))) )), 5.69/1.11 inference(combinator_demodulation,[],[f2177])). 5.69/1.11 thf(f2177,plain,( 5.69/1.11 ( ! [X0 : nat,X1 : nat] : (($true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),vAPP(sTfun(nat,sTfun(nat,$o)),sTfun(nat,sTfun(nat,$o)),cCOMB,vAPP(sTfun(nat,nat),sTfun(nat,sTfun(nat,$o)),vAPP(sTfun(nat,sTfun(nat,$o)),sTfun(sTfun(nat,nat),sTfun(nat,sTfun(nat,$o))),bCOMB,vEQ(nat)),vAPP(nat,sTfun(nat,nat),plus_plus_nat,X0))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,X1),X0)),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),sK53,X1),X0)))) )), 5.69/1.11 inference(sigma_clausification,[],[f2176])). 5.69/1.11 thf(f2176,plain,( 5.69/1.11 ( ! [X0 : nat,X1 : nat] : (($true = vAPP(sTfun(nat,$o),$o,vSIGMA(nat),vAPP(nat,sTfun(nat,$o),vAPP(sTfun(nat,sTfun(nat,$o)),sTfun(nat,sTfun(nat,$o)),cCOMB,vAPP(sTfun(nat,nat),sTfun(nat,sTfun(nat,$o)),vAPP(sTfun(nat,sTfun(nat,$o)),sTfun(sTfun(nat,nat),sTfun(nat,sTfun(nat,$o))),bCOMB,vEQ(nat)),vAPP(nat,sTfun(nat,nat),plus_plus_nat,X0))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,X1),X0))))) )), 5.69/1.11 inference(combinator_demodulation,[],[f1442])). 5.69/1.11 thf(f1442,plain,( 5.69/1.11 ( ! [X0 : nat,X1 : nat] : (($true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),vAPP(sTfun(nat,sTfun(nat,sTfun(nat,$o))),sTfun(nat,sTfun(nat,$o)),vAPP(sTfun(sTfun(nat,sTfun(nat,$o)),sTfun(nat,$o)),sTfun(sTfun(nat,sTfun(nat,sTfun(nat,$o))),sTfun(nat,sTfun(nat,$o))),bCOMB,vAPP(sTfun(sTfun(nat,$o),$o),sTfun(sTfun(nat,sTfun(nat,$o)),sTfun(nat,$o)),bCOMB,vSIGMA(nat))),vAPP(sTfun(nat,sTfun(nat,sTfun(nat,$o))),sTfun(nat,sTfun(nat,sTfun(nat,$o))),vAPP(sTfun(sTfun(nat,sTfun(nat,$o)),sTfun(nat,sTfun(nat,$o))),sTfun(sTfun(nat,sTfun(nat,sTfun(nat,$o))),sTfun(nat,sTfun(nat,sTfun(nat,$o)))),bCOMB,cCOMB),vAPP(sTfun(nat,sTfun(nat,nat)),sTfun(nat,sTfun(nat,sTfun(nat,$o))),vAPP(sTfun(sTfun(nat,nat),sTfun(nat,sTfun(nat,$o))),sTfun(sTfun(nat,sTfun(nat,nat)),sTfun(nat,sTfun(nat,sTfun(nat,$o)))),bCOMB,vAPP(sTfun(nat,sTfun(nat,$o)),sTfun(sTfun(nat,nat),sTfun(nat,sTfun(nat,$o))),bCOMB,vEQ(nat))),plus_plus_nat))),X0),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,X1),X0)))) )), 5.69/1.11 inference(definition_unfolding,[],[f1170,f1025])). 5.69/1.11 thf(f1025,plain,( 5.69/1.11 (ord_less_eq_nat = vAPP(sTfun(nat,sTfun(nat,sTfun(nat,$o))),sTfun(nat,sTfun(nat,$o)),vAPP(sTfun(sTfun(nat,sTfun(nat,$o)),sTfun(nat,$o)),sTfun(sTfun(nat,sTfun(nat,sTfun(nat,$o))),sTfun(nat,sTfun(nat,$o))),bCOMB,vAPP(sTfun(sTfun(nat,$o),$o),sTfun(sTfun(nat,sTfun(nat,$o)),sTfun(nat,$o)),bCOMB,vSIGMA(nat))),vAPP(sTfun(nat,sTfun(nat,sTfun(nat,$o))),sTfun(nat,sTfun(nat,sTfun(nat,$o))),vAPP(sTfun(sTfun(nat,sTfun(nat,$o)),sTfun(nat,sTfun(nat,$o))),sTfun(sTfun(nat,sTfun(nat,sTfun(nat,$o))),sTfun(nat,sTfun(nat,sTfun(nat,$o)))),bCOMB,cCOMB),vAPP(sTfun(nat,sTfun(nat,nat)),sTfun(nat,sTfun(nat,sTfun(nat,$o))),vAPP(sTfun(sTfun(nat,nat),sTfun(nat,sTfun(nat,$o))),sTfun(sTfun(nat,sTfun(nat,nat)),sTfun(nat,sTfun(nat,sTfun(nat,$o)))),bCOMB,vAPP(sTfun(nat,sTfun(nat,$o)),sTfun(sTfun(nat,nat),sTfun(nat,sTfun(nat,$o))),bCOMB,vEQ(nat))),plus_plus_nat))))), 5.69/1.11 inference(cnf_transformation,[],[f356])). 5.69/1.11 thf(f356,plain,( 5.69/1.11 (ord_less_eq_nat = vAPP(sTfun(nat,sTfun(nat,sTfun(nat,$o))),sTfun(nat,sTfun(nat,$o)),vAPP(sTfun(sTfun(nat,sTfun(nat,$o)),sTfun(nat,$o)),sTfun(sTfun(nat,sTfun(nat,sTfun(nat,$o))),sTfun(nat,sTfun(nat,$o))),bCOMB,vAPP(sTfun(sTfun(nat,$o),$o),sTfun(sTfun(nat,sTfun(nat,$o)),sTfun(nat,$o)),bCOMB,vSIGMA(nat))),vAPP(sTfun(nat,sTfun(nat,sTfun(nat,$o))),sTfun(nat,sTfun(nat,sTfun(nat,$o))),vAPP(sTfun(sTfun(nat,sTfun(nat,$o)),sTfun(nat,sTfun(nat,$o))),sTfun(sTfun(nat,sTfun(nat,sTfun(nat,$o))),sTfun(nat,sTfun(nat,sTfun(nat,$o)))),bCOMB,cCOMB),vAPP(sTfun(nat,sTfun(nat,nat)),sTfun(nat,sTfun(nat,sTfun(nat,$o))),vAPP(sTfun(sTfun(nat,nat),sTfun(nat,sTfun(nat,$o))),sTfun(sTfun(nat,sTfun(nat,nat)),sTfun(nat,sTfun(nat,sTfun(nat,$o)))),bCOMB,vAPP(sTfun(nat,sTfun(nat,$o)),sTfun(sTfun(nat,nat),sTfun(nat,sTfun(nat,$o))),bCOMB,vEQ(nat))),plus_plus_nat))))), 5.69/1.11 inference(fool_elimination,[],[f355])). 5.69/1.11 thf(f355,plain,( 5.69/1.11 (ord_less_eq_nat = (^[X0 : nat, X1 : nat] : (? [X2 : nat] : (vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,X0),X2) = X1))))), 5.69/1.11 inference(rectify,[],[f97])). 5.69/1.11 thf(f97,axiom,( 5.69/1.11 (ord_less_eq_nat = (^[X23 : nat, X24 : nat] : (? [X25 : nat] : (vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,X23),X25) = X24))))), 5.69/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 5.69/1.11 thf(f1170,plain,( 5.69/1.11 ( ! [X0 : nat,X1 : nat] : (($true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq_nat,X0),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,X1),X0)))) )), 5.69/1.11 inference(cnf_transformation,[],[f492])). 5.69/1.11 thf(f492,plain,( 5.69/1.11 ! [X0 : nat,X1 : nat] : ($true = vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq_nat,X0),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,X1),X0)))), 5.69/1.11 inference(fool_elimination,[],[f491])). 5.69/1.11 thf(f491,plain,( 5.69/1.11 ! [X0 : nat,X1 : nat] : vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq_nat,X0),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,X1),X0))), 5.69/1.11 inference(rectify,[],[f56])). 5.69/1.11 thf(f56,axiom,( 5.69/1.11 ! [X8 : nat,X6 : nat] : vAPP(nat,$o,vAPP(nat,sTfun(nat,$o),ord_less_eq_nat,X8),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,X6),X8))), 5.69/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 5.69/1.11 thf(f1011,plain,( 5.69/1.11 (vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,vAPP(real,real,abs_abs_real,vAPP(real,real,vAPP(real,sTfun(real,real),minus_minus_real,vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,p),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,i),one_one_nat))),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,q),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,i),one_one_nat))))),genClo1278781456e_beta) != $true)), 5.69/1.11 inference(cnf_transformation,[],[f718])). 5.69/1.11 thf(f718,plain,( 5.69/1.11 (vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,vAPP(real,real,abs_abs_real,vAPP(real,real,vAPP(real,sTfun(real,real),minus_minus_real,vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,p),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,i),one_one_nat))),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,q),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,i),one_one_nat))))),genClo1278781456e_beta) != $true)), 5.69/1.11 inference(flattening,[],[f342])). 5.69/1.11 thf(f342,plain,( 5.69/1.11 ~(vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,vAPP(real,real,abs_abs_real,vAPP(real,real,vAPP(real,sTfun(real,real),minus_minus_real,vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,p),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,i),one_one_nat))),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,q),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,i),one_one_nat))))),genClo1278781456e_beta) = $true)), 5.69/1.11 inference(fool_elimination,[],[f341])). 5.69/1.11 thf(f341,plain,( 5.69/1.11 ~vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,vAPP(real,real,abs_abs_real,vAPP(real,real,vAPP(real,sTfun(real,real),minus_minus_real,vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,p),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,i),one_one_nat))),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,q),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,i),one_one_nat))))),genClo1278781456e_beta)), 5.69/1.11 inference(rectify,[],[f181])). 5.69/1.11 thf(f181,negated_conjecture,( 5.69/1.11 ~vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,vAPP(real,real,abs_abs_real,vAPP(real,real,vAPP(real,sTfun(real,real),minus_minus_real,vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,p),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,i),one_one_nat))),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,q),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,i),one_one_nat))))),genClo1278781456e_beta)), 5.69/1.11 inference(negated_conjecture,[],[f180])). 5.69/1.11 thf(f180,conjecture,( 5.69/1.11 vAPP(real,$o,vAPP(real,sTfun(real,$o),ord_less_eq_real,vAPP(real,real,abs_abs_real,vAPP(real,real,vAPP(real,sTfun(real,real),minus_minus_real,vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,p),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,i),one_one_nat))),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,q),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,i),one_one_nat))))),genClo1278781456e_beta)), 5.69/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 5.69/1.11 thf(f3008,plain,( 5.69/1.11 ($true = vAPP(real,$o,vAPP(nat,sTfun(real,$o),genClo1015804716orrect,q),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,q),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),i))))), 5.69/1.11 inference(backward_demodulation,[],[f1351,f3007])). 5.69/1.11 thf(f1351,plain,( 5.69/1.11 (vAPP(real,$o,vAPP(nat,sTfun(real,$o),genClo1015804716orrect,q),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,q),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,i),one_one_nat))) = $true)), 5.69/1.11 inference(cnf_transformation,[],[f709])). 5.69/1.11 thf(f709,plain,( 5.69/1.11 (vAPP(real,$o,vAPP(nat,sTfun(real,$o),genClo1015804716orrect,q),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,q),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,i),one_one_nat))) = $true)), 5.69/1.11 inference(fool_elimination,[],[f708])). 5.69/1.11 thf(f708,plain,( 5.69/1.11 vAPP(real,$o,vAPP(nat,sTfun(real,$o),genClo1015804716orrect,q),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,q),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,i),one_one_nat)))), 5.69/1.11 inference(rectify,[],[f201])). 5.69/1.11 thf(f201,axiom,( 5.69/1.11 vAPP(real,$o,vAPP(nat,sTfun(real,$o),genClo1015804716orrect,q),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,q),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,i),one_one_nat)))), 5.69/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 5.69/1.11 thf(f3010,plain,( 5.69/1.11 ($true = vAPP(real,$o,vAPP(nat,sTfun(real,$o),genClo1015804716orrect,p),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,p),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,one_one_nat),i))))), 5.69/1.11 inference(backward_demodulation,[],[f1349,f3007])). 5.69/1.11 thf(f1349,plain,( 5.69/1.11 (vAPP(real,$o,vAPP(nat,sTfun(real,$o),genClo1015804716orrect,p),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,p),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,i),one_one_nat))) = $true)), 5.69/1.11 inference(cnf_transformation,[],[f705])). 5.69/1.11 thf(f705,plain,( 5.69/1.11 (vAPP(real,$o,vAPP(nat,sTfun(real,$o),genClo1015804716orrect,p),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,p),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,i),one_one_nat))) = $true)), 5.69/1.11 inference(fool_elimination,[],[f704])). 5.69/1.11 thf(f704,plain,( 5.69/1.11 vAPP(real,$o,vAPP(nat,sTfun(real,$o),genClo1015804716orrect,p),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,p),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,i),one_one_nat)))), 5.69/1.11 inference(rectify,[],[f312])). 5.69/1.11 thf(f312,axiom,( 5.69/1.11 vAPP(real,$o,vAPP(nat,sTfun(real,$o),genClo1015804716orrect,p),vAPP(nat,real,vAPP(nat,sTfun(nat,real),genClo1163638703lle_te,p),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus_nat,i),one_one_nat)))), 5.69/1.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 5.69/1.11 % SZS output end Proof for theBenchmark 5.69/1.11 % (17323)------------------------------ 5.69/1.11 % (17323)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 5.69/1.11 % (17323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 5.69/1.11 % (17323)Termination reason: Refutation 5.69/1.11 5.69/1.11 % (17323)Memory used [KB]: 8059 5.69/1.11 % (17323)Time elapsed: 0.584 s 5.69/1.11 % (17323)------------------------------ 5.69/1.11 % (17323)------------------------------ 5.69/1.11 % (17314)Success in time 0.756 s 5.69/1.11 EOF