0.07/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.12	% Command    : run_vampire %s %d
0.14/0.33	% Computer   : n014.cluster.edu
0.14/0.33	% Model      : x86_64 x86_64
0.14/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.33	% Memory     : 8042.1875MB
0.14/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.33	% CPULimit   : 960
0.14/0.33	% WCLimit    : 120
0.14/0.33	% DateTime   : Thu Jul  2 07:53:57 EDT 2020
0.14/0.33	% CPUTime    : 
0.14/0.36	% (28908)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:foolp=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
0.14/0.38	% (28909)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=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
0.14/0.38	% (28905)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark
0.14/0.38	% (28912)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark
0.14/0.39	% (28907)lrs+1011_8_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark
0.14/0.39	% (28928)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark
0.14/0.39	% (28906)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=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
0.14/0.39	% (28910)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:foolp=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
0.14/0.39	% (28919)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:fsr=off:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1:stl=30:sd=3:ss=axioms:st=1.5:sos=on_1 on theBenchmark
0.20/0.40	% (28911)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:foolp=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
0.20/0.40	% (28914)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark
0.20/0.41	% (28921)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:anc=none:gsp=input_only:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence_300 on theBenchmark
0.20/0.41	% (28908)Refutation found. Thanks to Tanya!
0.20/0.41	% SZS status Theorem for theBenchmark
0.20/0.41	% SZS output start Proof for theBenchmark
0.20/0.41	tff(func_def_0, type, del: '$tType').
0.20/0.41	tff(func_def_4, type, bool: del).
0.20/0.41	tff(func_def_5, type, ind: del).
0.20/0.41	tff(func_def_6, type, ->: ('$tType' * '$tType') > '$tType').
0.20/0.41	tff(func_def_7, type, arr: del -> del -> del).
0.20/0.41	tff(func_def_8, type, mem: '$i' -> del -> '$o').
0.20/0.41	tff(func_def_9, type, ap: '$i' -> '$i' -> '$i').
0.20/0.41	tff(func_def_10, type, lam: del -> ('$i' -> '$i') -> '$i').
0.20/0.41	tff(func_def_11, type, p: '$i' -> '$o').
0.20/0.41	tff(func_def_12, type, inj__o: '$o' -> '$i').
0.20/0.41	tff(func_def_13, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
0.20/0.41	tff(func_def_19, type, ty_2Enum_2Enum: del).
0.20/0.41	tff(func_def_20, type, tp__ty_2Enum_2Enum: '$tType').
0.20/0.41	tff(func_def_21, type, inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum -> '$i').
0.20/0.41	tff(func_def_22, type, surj__ty_2Enum_2Enum: '$i' -> tp__ty_2Enum_2Enum).
0.20/0.41	tff(func_def_24, type, fo__c_2Enum_2E0: tp__ty_2Enum_2Enum).
0.20/0.41	tff(func_def_25, type, ty_2Erealax_2Ereal: del).
0.20/0.41	tff(func_def_26, type, tp__ty_2Erealax_2Ereal: '$tType').
0.20/0.41	tff(func_def_27, type, inj__ty_2Erealax_2Ereal: tp__ty_2Erealax_2Ereal -> '$i').
0.20/0.41	tff(func_def_28, type, surj__ty_2Erealax_2Ereal: '$i' -> tp__ty_2Erealax_2Ereal).
0.20/0.41	tff(func_def_29, type, ty_2Epair_2Eprod: del -> del -> del).
0.20/0.41	tff(func_def_30, type, tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal: '$tType').
0.20/0.41	tff(func_def_31, type, inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal -> '$i').
0.20/0.41	tff(func_def_32, type, surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal: '$i' -> tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal).
0.20/0.41	tff(func_def_35, type, c_2Emin_2E_3D: del -> '$i').
0.20/0.41	tff(func_def_36, type, c_2Ebool_2E_21: del -> '$i').
0.20/0.41	tff(func_def_37, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
0.20/0.41	tff(func_def_40, type, sK0: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal).
0.20/0.41	tff(func_def_41, type, sK1: '$i' -> del -> '$i').
0.20/0.41	tff(func_def_42, type, sK2: '$i' -> del -> '$i').
0.20/0.41	tff(func_def_43, type, sK3: ('$i' -> '$i') -> del -> del -> '$i').
0.20/0.41	tff(func_def_44, type, sK4: '$i' -> '$i' -> del -> '$i').
0.20/0.41	tff(func_def_46, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
0.20/0.41	tff(func_def_47, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.20/0.41	tff(func_def_48, type, vAND: '$o' -> '$o' -> '$o').
0.20/0.41	tff(func_def_49, type, vOR: '$o' -> '$o' -> '$o').
0.20/0.41	tff(func_def_50, type, vIMP: '$o' -> '$o' -> '$o').
0.20/0.41	tff(func_def_51, type, vNOT: '$o' -> '$o').
0.20/0.41	tff(func_def_52, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
0.20/0.41	tff(func_def_53, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.20/0.41	tff(func_def_54, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
0.20/0.41	tff(func_def_55, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
0.20/0.41	tff(f14,axiom,(
0.20/0.41	  inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 = c_2Enum_2E0),
0.20/0.41	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_eq_fo_c_2Enum_2E0)).
0.20/0.41	tff(f15,conjecture,(
0.20/0.41	  ! [X6 : tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] : (surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) != X6 => surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X6)))),
0.20/0.41	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ)).
0.20/0.41	tff(f16,negated_conjecture,(
0.20/0.41	  ~! [X6 : tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] : (surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) != X6 => surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X6)))),
0.20/0.41	  inference(negated_conjecture,[],[f15])).
0.20/0.41	tff(f33,axiom,(
0.20/0.41	  ! [X6 : tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] : (surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X6)) <=> surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) = X6)),
0.20/0.41	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0)).
0.20/0.41	tff(f103,plain,(
0.20/0.41	  ~! [X0 : tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] : (surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) != X0 => surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X0)))),
0.20/0.41	  inference(rectify,[],[f16])).
0.20/0.41	tff(f112,plain,(
0.20/0.41	  ! [X0 : tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] : (surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X0)) <=> surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) = X0)),
0.20/0.41	  inference(rectify,[],[f33])).
0.20/0.41	tff(f113,plain,(
0.20/0.41	  ? [X0 : tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] : (surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X0)) & surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) != X0)),
0.20/0.41	  inference(ennf_transformation,[],[f103])).
0.20/0.41	tff(f130,plain,(
0.20/0.41	  ? [X0 : tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] : (surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X0)) & surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) != X0) => (surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ sK0)) & surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) != sK0)),
0.20/0.41	  introduced(choice_axiom,[])).
0.20/0.41	tff(f131,plain,(
0.20/0.41	  surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ sK0)) & surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) != sK0),
0.20/0.41	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f113,f130])).
0.20/0.41	tff(f139,plain,(
0.20/0.41	  ! [X0 : tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] : ((surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X0)) | surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) != X0) & (surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) = X0 | surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X0))))),
0.20/0.41	  inference(nnf_transformation,[],[f112])).
0.20/0.41	tff(f153,plain,(
0.20/0.41	  surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) != sK0),
0.20/0.41	  inference(cnf_transformation,[],[f131])).
0.20/0.41	tff(f154,plain,(
0.20/0.41	  surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ sK0))),
0.20/0.41	  inference(cnf_transformation,[],[f131])).
0.20/0.41	tff(f155,plain,(
0.20/0.41	  inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 = c_2Enum_2E0),
0.20/0.41	  inference(cnf_transformation,[],[f14])).
0.20/0.41	tff(f178,plain,(
0.20/0.41	  ( ! [X0:tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] : (surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X0)) | surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) = X0) )),
0.20/0.41	  inference(cnf_transformation,[],[f139])).
0.20/0.41	tff(f212,plain,(
0.20/0.41	  surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ sK0))),
0.20/0.41	  inference(forward_demodulation,[],[f154,f155])).
0.20/0.41	tff(f217,plain,(
0.20/0.41	  spl5_0 <=> surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ sK0))),
0.20/0.41	  introduced(avatar_definition,[new_symbols(naming,[spl5_0])])).
0.20/0.41	tff(f218,plain,(
0.20/0.41	  surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ sK0)) | ~spl5_0),
0.20/0.41	  inference(avatar_component_clause,[],[f217])).
0.20/0.41	tff(f219,plain,(
0.20/0.41	  spl5_0),
0.20/0.41	  inference(avatar_split_clause,[],[f212,f217])).
0.20/0.41	tff(f220,plain,(
0.20/0.41	  surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0) != sK0),
0.20/0.41	  inference(forward_demodulation,[],[f153,f155])).
0.20/0.41	tff(f222,plain,(
0.20/0.41	  spl5_2 <=> surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0) = sK0),
0.20/0.41	  introduced(avatar_definition,[new_symbols(naming,[spl5_2])])).
0.20/0.41	tff(f225,plain,(
0.20/0.41	  spl5_3 <=> surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0) != sK0),
0.20/0.41	  introduced(avatar_definition,[new_symbols(naming,[spl5_3])])).
0.20/0.41	tff(f227,plain,(
0.20/0.41	  ~spl5_3),
0.20/0.41	  inference(avatar_split_clause,[],[f220,f225])).
0.20/0.41	tff(f228,plain,(
0.20/0.41	  surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) | surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) = sK0 | ~spl5_0),
0.20/0.41	  inference(superposition,[],[f178,f218])).
0.20/0.41	tff(f229,plain,(
0.20/0.41	  surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0) | surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) = sK0 | ~spl5_0),
0.20/0.41	  inference(forward_demodulation,[],[f228,f155])).
0.20/0.41	tff(f230,plain,(
0.20/0.41	  surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)) = sK0 | ~spl5_0),
0.20/0.41	  inference(trivial_inequality_removal,[],[f229])).
0.20/0.41	tff(f231,plain,(
0.20/0.41	  surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0) = sK0 | ~spl5_0),
0.20/0.41	  inference(forward_demodulation,[],[f230,f155])).
0.20/0.41	tff(f232,plain,(
0.20/0.41	  spl5_2 | ~spl5_0),
0.20/0.41	  inference(avatar_split_clause,[],[f231,f217,f222])).
0.20/0.41	tff(f233,plain,(
0.20/0.41	  $false),
0.20/0.41	  inference(avatar_sat_refutation,[],[f219,f227,f232])).
0.20/0.41	% SZS output end Proof for theBenchmark
0.20/0.41	% (28908)------------------------------
0.20/0.41	% (28908)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.20/0.41	% (28908)Termination reason: Refutation
0.20/0.41	
0.20/0.41	% (28908)Memory used [KB]: 9978
0.20/0.41	% (28908)Time elapsed: 0.048 s
0.20/0.41	% (28908)------------------------------
0.20/0.41	% (28908)------------------------------
0.20/0.41	% (28935)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:foolp=on:cnfonf=eager:afq=1.0:fde=all: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_50 on theBenchmark
0.20/0.41	% (28904)Success in time 0.065 s
0.20/0.41	EOF