0.00/0.06 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.07 % Command : run_vampire %s %d 0.06/0.25 % Computer : n014.cluster.edu 0.06/0.25 % Model : x86_64 x86_64 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.06/0.25 % Memory : 8042.1875MB 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 0.06/0.25 % CPULimit : 960 0.06/0.25 % WCLimit : 120 0.06/0.25 % DateTime : Thu Jul 2 07:26:25 EDT 2020 0.06/0.25 % CPUTime : 0.06/0.30 % (31130)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 0.06/0.31 % (31131)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 0.11/0.31 % (31144)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all_8 on theBenchmark 0.11/0.31 % (31135)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 0.11/0.31 % (31148)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:foolp=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_50 on theBenchmark 0.11/0.32 % (31133)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 0.11/0.32 % (31132)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 0.11/0.32 % (31136)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:foolp=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 0.11/0.32 % (31129)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 0.11/0.33 % (31149)lrs+1011_5_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager: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_130 on theBenchmark 0.11/0.33 % (31128)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 0.11/0.33 % (31150)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:foolp=on:chr=off:e2e=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 0.11/0.33 % (31145)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on_41 on theBenchmark 0.11/0.33 % (31126)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 0.11/0.33 % (31142)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=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_30 on theBenchmark 0.11/0.34 % (31153)dis+1002_4_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity:tha=off_300 on theBenchmark 0.11/0.34 % (31141)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 0.11/0.34 % (31140)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_7 on theBenchmark 0.11/0.34 % (31152)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:foolp=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_186 on theBenchmark 0.11/0.34 % (31134)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 0.11/0.34 % (31125)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 0.11/0.35 % (31151)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:updr=off_300 on theBenchmark 0.11/0.35 % (31143)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence_6 on theBenchmark 0.11/0.35 % (31137)dis+1002_6_add=large:csup=on:inj=on:chr=on:foolp=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 0.11/0.35 % (31127)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 0.11/0.36 % (31154)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 0.11/0.36 % (31146)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_30 on theBenchmark 0.11/0.36 % (31147)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 0.11/0.37 % (31139)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 0.11/0.37 % (31138)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:foolp=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 0.11/0.55 % (31148)Refutation not found, incomplete strategy 0.11/0.55 % (31148)------------------------------ 0.11/0.55 % (31148)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 2.18/0.57 % (31148)Termination reason: Refutation not found, incomplete strategy 2.18/0.57 2.18/0.57 % (31148)Memory used [KB]: 10874 2.18/0.57 % (31148)Time elapsed: 0.257 s 2.18/0.57 % (31148)------------------------------ 2.18/0.57 % (31148)------------------------------ 2.31/0.62 % (31155)dis+1011_10_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_75 on theBenchmark 3.10/0.68 % (31139)Time limit reached! 3.10/0.68 % (31139)------------------------------ 3.10/0.68 % (31139)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.10/0.68 % (31139)Termination reason: Time limit 3.10/0.68 % (31139)Termination phase: Saturation 3.10/0.68 3.10/0.68 % (31139)Memory used [KB]: 6268 3.10/0.68 % (31139)Time elapsed: 0.400 s 3.10/0.68 % (31139)------------------------------ 3.10/0.68 % (31139)------------------------------ 3.10/0.71 % (31149)Refutation found. Thanks to Tanya! 3.10/0.71 % SZS status Theorem for theBenchmark 3.10/0.72 % SZS output start Proof for theBenchmark 3.10/0.72 tff(func_def_0, type, mu: '$tType'). 3.10/0.72 tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType'). 3.10/0.72 tff(func_def_5, type, meq_ind: mu -> mu -> '$i' -> '$o'). 3.10/0.72 tff(func_def_6, type, meq_prop: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.10/0.72 tff(func_def_7, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 3.10/0.72 tff(func_def_8, type, mnot: ('$i' -> '$o') -> '$i' -> '$o'). 3.10/0.72 tff(func_def_9, type, mor: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.10/0.72 tff(func_def_10, type, mand: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.10/0.72 tff(func_def_11, type, mimplies: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.10/0.72 tff(func_def_12, type, mimplied: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.10/0.72 tff(func_def_13, type, mequiv: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.10/0.72 tff(func_def_14, type, mxor: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.10/0.72 tff(func_def_15, type, mforall_ind: (mu -> '$i' -> '$o') -> '$i' -> '$o'). 3.10/0.72 tff(func_def_16, type, mforall_prop: (('$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o'). 3.10/0.72 tff(func_def_17, type, mexists_ind: (mu -> '$i' -> '$o') -> '$i' -> '$o'). 3.10/0.72 tff(func_def_18, type, mexists_prop: (('$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o'). 3.10/0.72 tff(func_def_19, type, mtrue: '$i' -> '$o'). 3.10/0.72 tff(func_def_20, type, mfalse: '$i' -> '$o'). 3.10/0.72 tff(func_def_21, type, mbox: ('$i' -> '$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.10/0.72 tff(func_def_22, type, mdia: ('$i' -> '$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.10/0.72 tff(func_def_23, type, mreflexive: ('$i' -> '$i' -> '$o') -> '$o'). 3.10/0.72 tff(func_def_24, type, msymmetric: ('$i' -> '$i' -> '$o') -> '$o'). 3.10/0.72 tff(func_def_25, type, mserial: ('$i' -> '$i' -> '$o') -> '$o'). 3.10/0.72 tff(func_def_26, type, mtransitive: ('$i' -> '$i' -> '$o') -> '$o'). 3.10/0.72 tff(func_def_27, type, meuclidean: ('$i' -> '$i' -> '$o') -> '$o'). 3.10/0.72 tff(func_def_28, type, mpartially_functional: ('$i' -> '$i' -> '$o') -> '$o'). 3.10/0.72 tff(func_def_29, type, mfunctional: ('$i' -> '$i' -> '$o') -> '$o'). 3.10/0.72 tff(func_def_30, type, mweakly_dense: ('$i' -> '$i' -> '$o') -> '$o'). 3.10/0.72 tff(func_def_31, type, mweakly_connected: ('$i' -> '$i' -> '$o') -> '$o'). 3.10/0.72 tff(func_def_32, type, mweakly_directed: ('$i' -> '$i' -> '$o') -> '$o'). 3.10/0.72 tff(func_def_33, type, mvalid: ('$i' -> '$o') -> '$o'). 3.10/0.72 tff(func_def_34, type, minvalid: ('$i' -> '$o') -> '$o'). 3.10/0.72 tff(func_def_35, type, msatisfiable: ('$i' -> '$o') -> '$o'). 3.10/0.72 tff(func_def_36, type, mcountersatisfiable: ('$i' -> '$o') -> '$o'). 3.10/0.72 tff(func_def_37, type, reg: '$tType'). 3.10/0.72 tff(func_def_38, type, c: reg -> reg -> '$o'). 3.10/0.72 tff(func_def_39, type, dc: reg -> reg -> '$o'). 3.10/0.72 tff(func_def_40, type, p: reg -> reg -> '$o'). 3.10/0.72 tff(func_def_41, type, eq: reg -> reg -> '$o'). 3.10/0.72 tff(func_def_42, type, o: reg -> reg -> '$o'). 3.10/0.72 tff(func_def_43, type, po: reg -> reg -> '$o'). 3.10/0.72 tff(func_def_44, type, ec: reg -> reg -> '$o'). 3.10/0.72 tff(func_def_45, type, pp: reg -> reg -> '$o'). 3.10/0.72 tff(func_def_46, type, tpp: reg -> reg -> '$o'). 3.10/0.72 tff(func_def_47, type, ntpp: reg -> reg -> '$o'). 3.10/0.72 tff(func_def_48, type, catalunya: reg). 3.10/0.72 tff(func_def_49, type, france: reg). 3.10/0.72 tff(func_def_50, type, spain: reg). 3.10/0.72 tff(func_def_51, type, paris: reg). 3.10/0.72 tff(func_def_52, type, a: '$i' -> '$i' -> '$o'). 3.10/0.72 tff(func_def_53, type, fool: '$i' -> '$i' -> '$o'). 3.10/0.72 tff(func_def_54, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 3.10/0.72 tff(func_def_55, type, vIMP: '$o' -> '$o' -> '$o'). 3.10/0.72 tff(func_def_56, type, vOR: '$o' -> '$o' -> '$o'). 3.10/0.72 tff(func_def_57, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 3.10/0.72 tff(func_def_58, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 3.10/0.72 tff(func_def_59, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 3.10/0.72 tff(func_def_60, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 3.10/0.72 tff(func_def_61, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 3.10/0.72 tff(func_def_64, type, vNOT: '$o' -> '$o'). 3.10/0.72 tff(func_def_65, type, vAND: '$o' -> '$o' -> '$o'). 3.10/0.72 tff(func_def_66, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 3.10/0.72 tff(func_def_67, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 3.10/0.72 tff(func_def_68, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 3.10/0.72 tff(func_def_70, type, sK1: ('$i' -> '$o') -> '$i' -> '$i'). 3.10/0.72 tff(func_def_71, type, sK2: ('$i' -> '$o') -> '$i' -> '$i'). 3.10/0.72 tff(func_def_72, type, sK3: ('$i' -> '$o') -> '$i' -> '$i'). 3.10/0.72 tff(func_def_75, type, sK6: reg). 3.10/0.72 tff(func_def_76, type, sK7: reg -> reg). 3.10/0.72 tff(func_def_77, type, sK8: reg -> reg). 3.10/0.72 tff(func_def_78, type, sK9: reg -> reg). 3.10/0.72 tff(func_def_79, type, sK10: reg -> reg). 3.10/0.72 tff(func_def_80, type, sK11: reg). 3.10/0.72 tff(func_def_81, type, sK12: reg). 3.10/0.72 tff(func_def_82, type, sK13: reg -> reg). 3.10/0.72 tff(func_def_83, type, sK14: reg -> reg). 3.10/0.72 tff(func_def_84, type, sK15: reg). 3.10/0.72 tff(func_def_85, type, sK16: reg). 3.10/0.72 tff(func_def_86, type, sK17: reg -> reg). 3.10/0.72 tff(func_def_87, type, sK18: reg -> reg). 3.10/0.72 tff(func_def_88, type, sK19: reg -> reg). 3.10/0.72 tff(func_def_89, type, sK20: reg -> reg). 3.10/0.72 tff(func_def_90, type, sK21: reg). 3.10/0.72 tff(func_def_91, type, sK22: reg -> reg). 3.10/0.72 tff(func_def_92, type, sK23: reg -> reg). 3.10/0.72 tff(func_def_93, type, sK24: reg). 3.10/0.72 tff(func_def_94, type, sK25: reg). 3.10/0.72 tff(func_def_95, type, sK26: reg -> reg). 3.10/0.72 tff(func_def_96, type, sK27: reg -> reg). 3.10/0.72 tff(func_def_97, type, sK28: reg -> reg). 3.10/0.72 tff(func_def_98, type, sK29: reg -> reg). 3.10/0.72 tff(func_def_99, type, sK30: reg). 3.10/0.72 tff(f16,axiom,( 3.10/0.72 mbox = (^[X6 : '$i' -> '$i' -> '$o', X3 : '$i' -> '$o', X2 : '$i'] : ! [X7] : (X3 @ X7 | ~X6 @ X2 @ X7))), 3.10/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)). 3.47/0.73 tff(f28,axiom,( 3.47/0.73 mvalid = (^[X3 : '$i' -> '$o'] : ! [X2] : X3 @ X2)), 3.47/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)). 3.47/0.73 tff(f33,axiom,( 3.47/0.73 p = (^[X0 : reg, X1 : reg] : ! [X11 : reg] : (c @ X11 @ X0 => c @ X11 @ X1))), 3.47/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p)). 3.47/0.73 tff(f35,axiom,( 3.47/0.73 o = (^[X0 : reg, X1 : reg] : ? [X11 : reg] : (p @ X11 @ X1 & p @ X11 @ X0))), 3.47/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o)). 3.47/0.73 tff(f37,axiom,( 3.47/0.73 ec = (^[X0 : reg, X1 : reg] : ~o @ X0 @ X1 & c @ X0 @ X1)), 3.47/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ec)). 3.47/0.73 tff(f38,axiom,( 3.47/0.73 pp = (^[X0 : reg, X1 : reg] : ~p @ X1 @ X0 & p @ X0 @ X1)), 3.47/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pp)). 3.47/0.73 tff(f39,axiom,( 3.47/0.73 tpp = (^[X0 : reg, X1 : reg] : ? [X11 : reg] : (ec @ X11 @ X1 & ec @ X11 @ X0) & pp @ X0 @ X1)), 3.47/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tpp)). 3.47/0.73 tff(f40,axiom,( 3.47/0.73 ntpp = (^[X0 : reg, X1 : reg] : ~? [X11 : reg] : (ec @ X11 @ X1 & ec @ X11 @ X0) & pp @ X0 @ X1)), 3.47/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ntpp)). 3.47/0.73 tff(f41,axiom,( 3.47/0.73 ! [X0 : reg,X1 : reg] : (c @ X0 @ X1 => c @ X1 @ X0)), 3.47/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_symmetric)). 3.47/0.73 tff(f43,conjecture,( 3.47/0.73 mvalid @ (mbox @ a @ (^[X0 : '$i'] : ! [X11 : reg] : ((o @ X11 @ paris | o @ X11 @ catalunya) => (o @ X11 @ france | o @ X11 @ spain))))), 3.47/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)). 3.47/0.73 tff(f44,negated_conjecture,( 3.47/0.73 ~mvalid @ (mbox @ a @ (^[X0 : '$i'] : ! [X11 : reg] : ((o @ X11 @ paris | o @ X11 @ catalunya) => (o @ X11 @ france | o @ X11 @ spain))))), 3.47/0.73 inference(negated_conjecture,[],[f43])). 3.47/0.73 tff(f47,axiom,( 3.47/0.73 mvalid @ (mbox @ a @ (^[X0 : '$i'] : ntpp @ paris @ france))), 3.47/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)). 3.47/0.73 tff(f49,axiom,( 3.47/0.73 mvalid @ (mbox @ a @ (^[X0 : '$i'] : tpp @ catalunya @ spain))), 3.47/0.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)). 3.47/0.73 tff(f51,plain,( 3.47/0.73 ~mvalid @ (mbox @ a @ (^[X0 : '$i'] : ! [X1 : reg] : ((o @ X1 @ paris | o @ X1 @ catalunya) => (o @ X1 @ france | o @ X1 @ spain))))), 3.47/0.73 inference(rectify,[],[f44])). 3.47/0.73 tff(f52,plain,( 3.47/0.73 ~(mvalid @ (mbox @ a @ (kCOMB @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ o @ catalunya)) @ (cCOMB @ o @ paris))) @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ o @ spain)) @ (cCOMB @ o @ france)))))) = $true)), 3.47/0.73 inference(fool_elimination,[],[f51])). 3.47/0.73 tff(f103,plain,( 3.47/0.73 ntpp = (^[X0 : reg, X1 : reg] : ~? [X2 : reg] : (ec @ X2 @ X1 & ec @ X2 @ X0) & pp @ X0 @ X1)), 3.47/0.73 inference(rectify,[],[f40])). 3.47/0.73 tff(f104,plain,( 3.47/0.73 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ pp)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ ec)))) @ (cCOMB @ ec)))) = ntpp), 3.47/0.73 inference(fool_elimination,[],[f103])). 3.47/0.73 tff(f105,plain,( 3.47/0.73 tpp = (^[X0 : reg, X1 : reg] : ? [X2 : reg] : (ec @ X2 @ X1 & ec @ X2 @ X0) & pp @ X0 @ X1)), 3.47/0.73 inference(rectify,[],[f39])). 3.47/0.73 tff(f106,plain,( 3.47/0.73 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ pp)) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ ec)))) @ (cCOMB @ ec))) = tpp), 3.47/0.73 inference(fool_elimination,[],[f105])). 3.47/0.73 tff(f107,plain,( 3.47/0.73 pp = (^[X0 : reg, X1 : reg] : ~p @ X1 @ X0 & p @ X0 @ X1)), 3.47/0.73 inference(rectify,[],[f38])). 3.47/0.73 tff(f108,plain,( 3.47/0.73 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ p)) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ p)) = pp), 3.47/0.73 inference(fool_elimination,[],[f107])). 3.47/0.73 tff(f113,plain,( 3.47/0.73 ec = (^[X0 : reg, X1 : reg] : ~o @ X0 @ X1 & c @ X0 @ X1)), 3.47/0.73 inference(rectify,[],[f37])). 3.47/0.73 tff(f114,plain,( 3.47/0.73 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ o) = ec), 3.47/0.73 inference(fool_elimination,[],[f113])). 3.47/0.73 tff(f115,plain,( 3.47/0.73 mvalid = (^[X0 : '$i' -> '$o'] : ! [X1] : X0 @ X1)), 3.47/0.73 inference(rectify,[],[f28])). 3.47/0.73 tff(f116,plain,( 3.47/0.73 mvalid = vPI('$i')), 3.47/0.73 inference(fool_elimination,[],[f115])). 3.47/0.73 tff(f119,plain,( 3.47/0.73 p = (^[X0 : reg, X1 : reg] : ! [X2 : reg] : (c @ X2 @ X0 => c @ X2 @ X1))), 3.47/0.73 inference(rectify,[],[f33])). 3.47/0.73 tff(f120,plain,( 3.47/0.73 bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)) = p), 3.47/0.73 inference(fool_elimination,[],[f119])). 3.47/0.73 tff(f123,plain,( 3.47/0.73 o = (^[X0 : reg, X1 : reg] : ? [X2 : reg] : (p @ X2 @ X1 & p @ X2 @ X0))), 3.47/0.73 inference(rectify,[],[f35])). 3.47/0.73 tff(f124,plain,( 3.47/0.73 bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ p)))) @ (cCOMB @ p)) = o), 3.47/0.73 inference(fool_elimination,[],[f123])). 3.47/0.73 tff(f127,plain,( 3.47/0.73 mbox = (^[X0 : '$i' -> '$i' -> '$o', X1 : '$i' -> '$o', X2 : '$i'] : ! [X3] : (X1 @ X3 | ~X0 @ X2 @ X3))), 3.47/0.73 inference(rectify,[],[f16])). 3.47/0.73 tff(f128,plain,( 3.47/0.73 bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) = mbox), 3.47/0.73 inference(fool_elimination,[],[f127])). 3.47/0.73 tff(f131,plain,( 3.47/0.73 ! [X0 : reg,X1 : reg] : (c @ X0 @ X1 => c @ X1 @ X0)), 3.47/0.73 inference(rectify,[],[f41])). 3.47/0.73 tff(f132,plain,( 3.47/0.73 ! [X0 : reg,X1 : reg] : ((c @ X0 @ X1 = $true) => (c @ X1 @ X0 = $true))), 3.47/0.73 inference(fool_elimination,[],[f131])). 3.47/0.73 tff(f133,plain,( 3.47/0.73 mvalid @ (mbox @ a @ (^[X0 : '$i'] : ntpp @ paris @ france))), 3.47/0.73 inference(rectify,[],[f47])). 3.47/0.73 tff(f134,plain,( 3.47/0.73 (mvalid @ (mbox @ a @ (kCOMB @ (ntpp @ paris @ france))) = $true)), 3.47/0.73 inference(fool_elimination,[],[f133])). 3.47/0.73 tff(f135,plain,( 3.47/0.73 mvalid @ (mbox @ a @ (^[X0 : '$i'] : tpp @ catalunya @ spain))), 3.47/0.73 inference(rectify,[],[f49])). 3.47/0.73 tff(f136,plain,( 3.47/0.73 (mvalid @ (mbox @ a @ (kCOMB @ (tpp @ catalunya @ spain))) = $true)), 3.47/0.73 inference(fool_elimination,[],[f135])). 3.47/0.73 tff(f145,plain,( 3.47/0.73 (mvalid @ (mbox @ a @ (kCOMB @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ o @ catalunya)) @ (cCOMB @ o @ paris))) @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ o @ spain)) @ (cCOMB @ o @ france)))))) != $true)), 3.47/0.73 inference(flattening,[],[f52])). 3.47/0.73 tff(f146,plain,( 3.47/0.73 ! [X0 : reg,X1 : reg] : ((c @ X1 @ X0 = $true) | (c @ X0 @ X1 != $true))), 3.47/0.73 inference(ennf_transformation,[],[f132])). 3.47/0.73 tff(f147,plain,( 3.47/0.73 (mvalid @ (mbox @ a @ (kCOMB @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ o @ catalunya)) @ (cCOMB @ o @ paris))) @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ o @ spain)) @ (cCOMB @ o @ france)))))) != $true)), 3.47/0.73 inference(cnf_transformation,[],[f145])). 3.47/0.73 tff(f148,plain,( 3.47/0.73 ( ! [X0:reg,X1:reg] : ((c @ X0 @ X1 != $true) | (c @ X1 @ X0 = $true)) )), 3.47/0.73 inference(cnf_transformation,[],[f146])). 3.47/0.73 tff(f151,plain,( 3.47/0.73 (mvalid @ (mbox @ a @ (kCOMB @ (ntpp @ paris @ france))) = $true)), 3.47/0.73 inference(cnf_transformation,[],[f134])). 3.47/0.73 tff(f152,plain,( 3.47/0.73 (mvalid @ (mbox @ a @ (kCOMB @ (tpp @ catalunya @ spain))) = $true)), 3.47/0.73 inference(cnf_transformation,[],[f136])). 3.47/0.73 tff(f153,plain,( 3.47/0.73 bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ p)))) @ (cCOMB @ p)) = o), 3.47/0.73 inference(cnf_transformation,[],[f124])). 3.47/0.73 tff(f154,plain,( 3.47/0.73 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ o) = ec), 3.47/0.73 inference(cnf_transformation,[],[f114])). 3.47/0.73 tff(f155,plain,( 3.47/0.73 bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) = mbox), 3.47/0.73 inference(cnf_transformation,[],[f128])). 3.47/0.73 tff(f157,plain,( 3.47/0.73 bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)) = p), 3.47/0.73 inference(cnf_transformation,[],[f120])). 3.47/0.73 tff(f161,plain,( 3.47/0.73 mvalid = vPI('$i')), 3.47/0.73 inference(cnf_transformation,[],[f116])). 3.47/0.73 tff(f162,plain,( 3.47/0.73 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ pp)) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ ec)))) @ (cCOMB @ ec))) = tpp), 3.47/0.73 inference(cnf_transformation,[],[f106])). 3.47/0.73 tff(f163,plain,( 3.47/0.73 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ pp)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ ec)))) @ (cCOMB @ ec)))) = ntpp), 3.47/0.73 inference(cnf_transformation,[],[f104])). 3.47/0.73 tff(f164,plain,( 3.47/0.73 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ p)) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ p)) = pp), 3.47/0.73 inference(cnf_transformation,[],[f108])). 3.47/0.73 tff(f173,plain,( 3.47/0.73 bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))) = o), 3.47/0.73 inference(definition_unfolding,[],[f153,f157,f157])). 3.47/0.73 tff(f174,plain,( 3.47/0.73 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) = ec), 3.47/0.73 inference(definition_unfolding,[],[f154,f173])). 3.47/0.73 tff(f175,plain,( 3.47/0.73 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))) = pp), 3.47/0.73 inference(definition_unfolding,[],[f164,f157,f157])). 3.47/0.73 tff(f176,plain,( 3.47/0.73 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))))))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))))))) = tpp), 3.47/0.73 inference(definition_unfolding,[],[f162,f175,f174,f174])). 3.47/0.74 tff(f177,plain,( 3.47/0.74 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))))))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))))))) = ntpp), 3.47/0.74 inference(definition_unfolding,[],[f163,f175,f174,f174])). 3.47/0.74 tff(f178,plain,( 3.47/0.74 (vPI('$i') @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a @ (kCOMB @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ catalunya)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ paris))) @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ spain)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ france)))))) != $true)), 3.47/0.74 inference(definition_unfolding,[],[f147,f161,f155,f173,f173,f173,f173])). 3.47/0.74 tff(f180,plain,( 3.47/0.74 (vPI('$i') @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a @ (kCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))))))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))))))) @ paris @ france))) = $true)), 3.47/0.74 inference(definition_unfolding,[],[f151,f161,f155,f177])). 3.47/0.74 tff(f181,plain,( 3.47/0.74 (vPI('$i') @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a @ (kCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))))))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))))))) @ catalunya @ spain))) = $true)), 3.47/0.74 inference(definition_unfolding,[],[f152,f161,f155,f176])). 3.47/0.75 tff(f191,plain,( 3.47/0.75 ( ! [X1] : ((bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a @ (kCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))))))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))))))) @ paris @ france)) @ X1 = $true)) )), 3.47/0.75 inference(pi_clausification,[],[f180])). 3.64/0.76 tff(f192,plain,( 3.64/0.76 ( ! [X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a @ X1))) @ (kCOMB @ (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ paris)) @ (cCOMB @ c @ france))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ france)) @ (cCOMB @ c @ paris))))) @ (vNOT @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ paris)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ france))))))) = $true)) )), 3.64/0.76 inference(combinator_demodulation,[],[f191])). 3.64/0.76 tff(f193,plain,( 3.64/0.76 ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a @ X1))) @ (kCOMB @ (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ paris)) @ (cCOMB @ c @ france))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ france)) @ (cCOMB @ c @ paris))))) @ (vNOT @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ paris)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ france)))))) @ X2 = $true)) )), 3.64/0.76 inference(pi_clausification,[],[f192])). 3.64/0.76 % (31157)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:foolp=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 3.64/0.76 tff(f194,plain,( 3.64/0.76 ( ! [X2,X1] : ((vOR @ (vNOT @ (a @ X1 @ X2)) @ (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ paris)) @ (cCOMB @ c @ france))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ france)) @ (cCOMB @ c @ paris))))) @ (vNOT @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ paris)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ france))))) = $true)) )), 3.64/0.76 inference(combinator_demodulation,[],[f193])). 3.64/0.76 tff(f195,plain,( 3.64/0.76 ( ! [X2,X1] : ((vNOT @ (a @ X1 @ X2) = $true) | (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ paris)) @ (cCOMB @ c @ france))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ france)) @ (cCOMB @ c @ paris))))) @ (vNOT @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ paris)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ france)))) = $true)) )), 3.64/0.76 inference(binary_proxy_clausification,[],[f194])). 3.64/0.76 tff(f196,plain,( 3.64/0.76 ( ! [X2,X1] : ((a @ X1 @ X2 = $false) | (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ paris)) @ (cCOMB @ c @ france))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ france)) @ (cCOMB @ c @ paris))))) @ (vNOT @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ paris)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ france)))) = $true)) )), 3.64/0.76 inference(not_proxy_clausification,[],[f195])). 3.64/0.76 tff(f197,plain,( 3.64/0.76 ( ! [X1] : ((bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a @ (kCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))))))) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))))))) @ catalunya @ spain)) @ X1 = $true)) )), 3.64/0.76 inference(pi_clausification,[],[f181])). 3.64/0.76 tff(f198,plain,( 3.64/0.76 ( ! [X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a @ X1))) @ (kCOMB @ (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ catalunya)) @ (cCOMB @ c @ spain))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ spain)) @ (cCOMB @ c @ catalunya))))) @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ catalunya)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ spain)))))) = $true)) )), 3.64/0.76 inference(combinator_demodulation,[],[f197])). 3.64/0.77 tff(f199,plain,( 3.64/0.77 ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a @ X1))) @ (kCOMB @ (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ catalunya)) @ (cCOMB @ c @ spain))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ spain)) @ (cCOMB @ c @ catalunya))))) @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ catalunya)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ spain))))) @ X2 = $true)) )), 3.64/0.77 inference(pi_clausification,[],[f198])). 3.64/0.77 tff(f200,plain,( 3.64/0.77 ( ! [X2,X1] : ((vOR @ (vNOT @ (a @ X1 @ X2)) @ (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ catalunya)) @ (cCOMB @ c @ spain))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ spain)) @ (cCOMB @ c @ catalunya))))) @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ catalunya)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ spain)))) = $true)) )), 3.64/0.77 inference(combinator_demodulation,[],[f199])). 3.64/0.77 tff(f201,plain,( 3.64/0.77 ( ! [X2,X1] : ((vNOT @ (a @ X1 @ X2) = $true) | (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ catalunya)) @ (cCOMB @ c @ spain))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ spain)) @ (cCOMB @ c @ catalunya))))) @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ catalunya)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ spain))) = $true)) )), 3.64/0.77 inference(binary_proxy_clausification,[],[f200])). 3.64/0.77 tff(f202,plain,( 3.64/0.77 ( ! [X2,X1] : ((a @ X1 @ X2 = $false) | (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ catalunya)) @ (cCOMB @ c @ spain))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ spain)) @ (cCOMB @ c @ catalunya))))) @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ catalunya)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ spain))) = $true)) )), 3.64/0.77 inference(not_proxy_clausification,[],[f201])). 3.64/0.77 tff(f237,plain,( 3.64/0.77 (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a @ (kCOMB @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ catalunya)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ paris))) @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ spain)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ france))))) @ sK4 = $false)), 3.64/0.77 inference(sigma_clausification,[],[f178])). 3.64/0.77 % (31128)Time limit reached! 3.64/0.77 % (31128)------------------------------ 3.64/0.77 % (31128)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.64/0.77 % (31128)Termination reason: Time limit 3.64/0.77 % (31128)Termination phase: Saturation 3.64/0.77 3.64/0.77 % (31128)Memory used [KB]: 11641 3.64/0.77 % (31128)Time elapsed: 0.500 s 3.64/0.77 % (31128)------------------------------ 3.64/0.77 % (31128)------------------------------ 3.64/0.78 tff(f238,plain,( 3.64/0.78 (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a @ sK4))) @ (kCOMB @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ catalunya)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ paris))) @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ spain)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ france)))))) = $false)), 3.64/0.78 inference(combinator_demodulation,[],[f237])). 3.64/0.78 tff(f239,plain,( 3.64/0.78 (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a @ sK4))) @ (kCOMB @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ catalunya)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ paris))) @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ spain)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ france))))) @ sK5 = $false)), 3.64/0.78 inference(sigma_clausification,[],[f238])). 3.64/0.78 % (31137)Time limit reached! 3.64/0.78 % (31137)------------------------------ 3.64/0.78 % (31137)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.64/0.78 % (31137)Termination reason: Time limit 3.64/0.78 % (31137)Termination phase: Saturation 3.64/0.78 3.64/0.78 % (31137)Memory used [KB]: 6396 3.64/0.78 % (31137)Time elapsed: 0.500 s 3.64/0.78 % (31137)------------------------------ 3.64/0.78 % (31137)------------------------------ 3.64/0.78 tff(f240,plain,( 3.64/0.78 (vOR @ (vNOT @ (a @ sK4 @ sK5)) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ catalunya)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ paris))) @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ spain)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ france)))) = $false)), 3.64/0.78 inference(combinator_demodulation,[],[f239])). 3.64/0.78 tff(f241,plain,( 3.64/0.78 (vNOT @ (a @ sK4 @ sK5) = $false)), 3.64/0.78 inference(binary_proxy_clausification,[],[f240])). 3.64/0.78 tff(f242,plain,( 3.64/0.78 (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ catalunya)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ paris))) @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ spain)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ france))) = $false)), 3.64/0.78 inference(binary_proxy_clausification,[],[f240])). 3.64/0.78 tff(f243,plain,( 3.64/0.78 (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ catalunya)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ paris))) @ (sCOMB @ (bCOMB @ vOR @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ spain)) @ (cCOMB @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))) @ france)) @ sK6 = $false)), 3.64/0.78 inference(sigma_clausification,[],[f242])). 3.64/0.80 % (31126)Time limit reached! 3.64/0.80 % (31126)------------------------------ 3.64/0.80 % (31126)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.64/0.80 % (31126)Termination reason: Time limit 3.64/0.80 3.64/0.80 % (31126)Memory used [KB]: 11257 3.64/0.80 % (31126)Time elapsed: 0.517 s 3.64/0.80 % (31126)------------------------------ 3.64/0.80 % (31126)------------------------------ 3.64/0.80 tff(f244,plain,( 3.64/0.80 (vIMP @ (vOR @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK6)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ catalunya))) @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK6)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ paris)))) @ (vOR @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK6)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ spain))) @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK6)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ france)))) = $false)), 3.64/0.80 inference(combinator_demodulation,[],[f243])). 3.64/0.80 tff(f245,plain,( 3.64/0.80 (vOR @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK6)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ catalunya))) @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK6)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ paris))) = $true)), 3.64/0.80 inference(binary_proxy_clausification,[],[f244])). 3.64/0.80 tff(f246,plain,( 3.64/0.80 (vOR @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK6)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ spain))) @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK6)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ france))) = $false)), 3.64/0.80 inference(binary_proxy_clausification,[],[f244])). 3.64/0.80 tff(f247,plain,( 3.64/0.80 (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK6)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ spain)) = $false)), 3.64/0.80 inference(binary_proxy_clausification,[],[f246])). 3.64/0.80 tff(f248,plain,( 3.64/0.80 (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK6)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ france)) = $false)), 3.64/0.80 inference(binary_proxy_clausification,[],[f246])). 3.64/0.80 tff(f249,plain,( 3.64/0.80 ( ! [X1:reg] : ((sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK6)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ france) @ X1 = $false)) )), 3.64/0.80 inference(pi_clausification,[],[f248])). 3.64/0.80 tff(f250,plain,( 3.64/0.80 ( ! [X1:reg] : ((vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ sK6))) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ france))) = $false)) )), 3.64/0.80 inference(combinator_demodulation,[],[f249])). 3.64/0.80 tff(f251,plain,( 3.64/0.80 ( ! [X1:reg] : ((vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ sK6)) = $false) | (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ france)) = $false)) )), 3.64/0.80 inference(binary_proxy_clausification,[],[f250])). 3.64/0.80 tff(f252,plain,( 3.64/0.80 ( ! [X1:reg] : ((vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ sK6)) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ france) @ (sK7 @ X1) = $false)) )), 3.64/0.80 inference(sigma_clausification,[],[f251])). 3.64/0.80 tff(f253,plain,( 3.64/0.80 ( ! [X1:reg] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ sK6) @ (sK8 @ X1) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ france) @ (sK7 @ X1) = $false)) )), 3.64/0.80 inference(sigma_clausification,[],[f252])). 3.64/0.80 tff(f254,plain,( 3.64/0.80 ( ! [X1:reg] : ((vIMP @ (c @ (sK8 @ X1) @ X1) @ (c @ (sK8 @ X1) @ sK6) = $false) | (vIMP @ (c @ (sK7 @ X1) @ X1) @ (c @ (sK7 @ X1) @ france) = $false)) )), 3.64/0.80 inference(combinator_demodulation,[],[f253])). 3.64/0.80 tff(f255,plain,( 3.64/0.80 ( ! [X1:reg] : ((c @ (sK8 @ X1) @ X1 = $true) | (vIMP @ (c @ (sK7 @ X1) @ X1) @ (c @ (sK7 @ X1) @ france) = $false)) )), 3.64/0.80 inference(binary_proxy_clausification,[],[f254])). 3.64/0.80 tff(f256,plain,( 3.64/0.80 ( ! [X1:reg] : ((c @ (sK8 @ X1) @ sK6 = $false) | (vIMP @ (c @ (sK7 @ X1) @ X1) @ (c @ (sK7 @ X1) @ france) = $false)) )), 3.64/0.80 inference(binary_proxy_clausification,[],[f254])). 3.64/0.80 tff(f257,plain,( 3.64/0.80 ( ! [X1:reg] : ((c @ (sK8 @ X1) @ sK6 = $false) | (c @ (sK7 @ X1) @ X1 = $true)) )), 3.64/0.80 inference(binary_proxy_clausification,[],[f256])). 3.64/0.80 tff(f258,plain,( 3.64/0.80 ( ! [X1:reg] : ((c @ (sK7 @ X1) @ france = $false) | (c @ (sK8 @ X1) @ sK6 = $false)) )), 3.64/0.80 inference(binary_proxy_clausification,[],[f256])). 3.64/0.80 tff(f259,plain,( 3.64/0.80 ( ! [X1:reg] : ((c @ (sK8 @ X1) @ X1 = $true) | (c @ (sK7 @ X1) @ X1 = $true)) )), 3.64/0.80 inference(binary_proxy_clausification,[],[f255])). 3.64/0.80 tff(f260,plain,( 3.64/0.80 ( ! [X1:reg] : ((c @ (sK7 @ X1) @ france = $false) | (c @ (sK8 @ X1) @ X1 = $true)) )), 3.64/0.80 inference(binary_proxy_clausification,[],[f255])). 3.64/0.80 tff(f261,plain,( 3.64/0.80 ( ! [X1:reg] : ((sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK6)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ spain) @ X1 = $false)) )), 3.64/0.80 inference(pi_clausification,[],[f247])). 3.64/0.80 tff(f262,plain,( 3.64/0.80 ( ! [X1:reg] : ((vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ sK6))) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ spain))) = $false)) )), 3.64/0.80 inference(combinator_demodulation,[],[f261])). 3.64/0.80 tff(f263,plain,( 3.64/0.80 ( ! [X1:reg] : ((vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ sK6)) = $false) | (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ spain)) = $false)) )), 3.64/0.80 inference(binary_proxy_clausification,[],[f262])). 3.64/0.80 tff(f264,plain,( 3.64/0.80 ( ! [X1:reg] : ((vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ sK6)) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ spain) @ (sK9 @ X1) = $false)) )), 3.64/0.80 inference(sigma_clausification,[],[f263])). 3.64/0.80 tff(f265,plain,( 3.64/0.80 ( ! [X1:reg] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ sK6) @ (sK10 @ X1) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X1)) @ (cCOMB @ c @ spain) @ (sK9 @ X1) = $false)) )), 3.64/0.80 inference(sigma_clausification,[],[f264])). 3.64/0.80 tff(f266,plain,( 3.64/0.80 ( ! [X1:reg] : ((vIMP @ (c @ (sK10 @ X1) @ X1) @ (c @ (sK10 @ X1) @ sK6) = $false) | (vIMP @ (c @ (sK9 @ X1) @ X1) @ (c @ (sK9 @ X1) @ spain) = $false)) )), 3.64/0.80 inference(combinator_demodulation,[],[f265])). 3.64/0.80 tff(f267,plain,( 3.64/0.80 ( ! [X1:reg] : ((c @ (sK10 @ X1) @ X1 = $true) | (vIMP @ (c @ (sK9 @ X1) @ X1) @ (c @ (sK9 @ X1) @ spain) = $false)) )), 3.64/0.80 inference(binary_proxy_clausification,[],[f266])). 3.64/0.80 tff(f268,plain,( 3.64/0.80 ( ! [X1:reg] : ((c @ (sK10 @ X1) @ sK6 = $false) | (vIMP @ (c @ (sK9 @ X1) @ X1) @ (c @ (sK9 @ X1) @ spain) = $false)) )), 3.64/0.80 inference(binary_proxy_clausification,[],[f266])). 3.64/0.80 tff(f269,plain,( 3.64/0.80 ( ! [X1:reg] : ((c @ (sK10 @ X1) @ sK6 = $false) | (c @ (sK9 @ X1) @ X1 = $true)) )), 3.64/0.80 inference(binary_proxy_clausification,[],[f268])). 3.64/0.80 tff(f270,plain,( 3.64/0.80 ( ! [X1:reg] : ((c @ (sK9 @ X1) @ spain = $false) | (c @ (sK10 @ X1) @ sK6 = $false)) )), 3.64/0.80 inference(binary_proxy_clausification,[],[f268])). 3.64/0.80 tff(f271,plain,( 3.64/0.80 ( ! [X1:reg] : ((c @ (sK10 @ X1) @ X1 = $true) | (c @ (sK9 @ X1) @ X1 = $true)) )), 3.64/0.80 inference(binary_proxy_clausification,[],[f267])). 3.64/0.80 tff(f272,plain,( 3.64/0.80 ( ! [X1:reg] : ((c @ (sK9 @ X1) @ spain = $false) | (c @ (sK10 @ X1) @ X1 = $true)) )), 3.64/0.80 inference(binary_proxy_clausification,[],[f267])). 3.64/0.80 tff(f273,plain,( 3.64/0.80 (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK6)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ catalunya)) = $true) | (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK6)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ paris)) = $true)), 3.64/0.80 inference(binary_proxy_clausification,[],[f245])). 3.64/0.80 tff(f274,plain,( 3.64/0.80 (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK6)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ catalunya)) = $true) | (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK6)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ paris) @ sK11 = $true)), 3.64/0.80 inference(sigma_clausification,[],[f273])). 3.64/0.80 tff(f275,plain,( 3.64/0.80 (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK6)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ catalunya) @ sK12 = $true) | (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ sK6)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ paris) @ sK11 = $true)), 3.64/0.80 inference(sigma_clausification,[],[f274])). 3.64/0.80 tff(f276,plain,( 3.64/0.80 (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK12)) @ (cCOMB @ c @ sK6))) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK12)) @ (cCOMB @ c @ catalunya))) = $true) | (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ sK6))) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ paris))) = $true)), 3.64/0.80 inference(combinator_demodulation,[],[f275])). 3.64/0.80 tff(f277,plain,( 3.64/0.80 (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK12)) @ (cCOMB @ c @ sK6)) = $true) | (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ sK6))) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ paris))) = $true)), 3.64/0.80 inference(binary_proxy_clausification,[],[f276])). 3.64/0.80 tff(f278,plain,( 3.64/0.80 (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK12)) @ (cCOMB @ c @ catalunya)) = $true) | (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ sK6))) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ paris))) = $true)), 3.64/0.80 inference(binary_proxy_clausification,[],[f276])). 3.64/0.81 tff(f279,plain,( 3.64/0.81 ( ! [X1:reg] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK12)) @ (cCOMB @ c @ catalunya) @ X1 = $true) | (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ sK6))) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ paris))) = $true)) )), 3.64/0.81 inference(pi_clausification,[],[f278])). 3.64/0.81 tff(f280,plain,( 3.64/0.81 ( ! [X1:reg] : ((vIMP @ (c @ X1 @ sK12) @ (c @ X1 @ catalunya) = $true) | (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ sK6))) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ paris))) = $true)) )), 3.64/0.81 inference(combinator_demodulation,[],[f279])). 3.64/0.81 tff(f281,plain,( 3.64/0.81 ( ! [X1:reg] : ((c @ X1 @ sK12 = $false) | (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ sK6))) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ paris))) = $true) | (c @ X1 @ catalunya = $true)) )), 3.64/0.81 inference(binary_proxy_clausification,[],[f280])). 3.64/0.81 tff(f282,plain,( 3.64/0.81 ( ! [X1:reg] : ((c @ X1 @ sK12 = $false) | (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ sK6)) = $true) | (c @ X1 @ catalunya = $true)) )), 3.64/0.81 inference(binary_proxy_clausification,[],[f281])). 3.64/0.81 tff(f283,plain,( 3.64/0.81 ( ! [X1:reg] : ((c @ X1 @ sK12 = $false) | (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ paris)) = $true) | (c @ X1 @ catalunya = $true)) )), 3.64/0.81 inference(binary_proxy_clausification,[],[f281])). 3.64/0.81 tff(f284,plain,( 3.64/0.81 ( ! [X2:reg,X1:reg] : ((c @ X1 @ sK12 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ paris) @ X2 = $true) | (c @ X1 @ catalunya = $true)) )), 3.64/0.81 inference(pi_clausification,[],[f283])). 3.64/0.81 tff(f285,plain,( 3.64/0.81 ( ! [X2:reg,X1:reg] : ((c @ X1 @ sK12 = $false) | (vIMP @ (c @ X2 @ sK11) @ (c @ X2 @ paris) = $true) | (c @ X1 @ catalunya = $true)) )), 3.64/0.81 inference(combinator_demodulation,[],[f284])). 3.64/0.81 tff(f286,plain,( 3.64/0.81 ( ! [X2:reg,X1:reg] : ((c @ X1 @ sK12 = $false) | (c @ X2 @ sK11 = $false) | (c @ X1 @ catalunya = $true) | (c @ X2 @ paris = $true)) )), 3.64/0.81 inference(binary_proxy_clausification,[],[f285])). 3.64/0.81 tff(f287,plain,( 3.64/0.81 ( ! [X2:reg,X1:reg] : ((c @ X1 @ sK12 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ sK6) @ X2 = $true) | (c @ X1 @ catalunya = $true)) )), 3.64/0.81 inference(pi_clausification,[],[f282])). 3.64/0.81 tff(f288,plain,( 3.64/0.81 ( ! [X2:reg,X1:reg] : ((c @ X1 @ sK12 = $false) | (vIMP @ (c @ X2 @ sK11) @ (c @ X2 @ sK6) = $true) | (c @ X1 @ catalunya = $true)) )), 3.64/0.81 inference(combinator_demodulation,[],[f287])). 3.64/0.81 tff(f289,plain,( 3.64/0.81 ( ! [X2:reg,X1:reg] : ((c @ X1 @ sK12 = $false) | (c @ X2 @ sK11 = $false) | (c @ X1 @ catalunya = $true) | (c @ X2 @ sK6 = $true)) )), 3.64/0.81 inference(binary_proxy_clausification,[],[f288])). 3.64/0.81 tff(f290,plain,( 3.64/0.81 ( ! [X1:reg] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK12)) @ (cCOMB @ c @ sK6) @ X1 = $true) | (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ sK6))) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ paris))) = $true)) )), 3.64/0.81 inference(pi_clausification,[],[f277])). 3.64/0.81 tff(f291,plain,( 3.64/0.81 ( ! [X1:reg] : ((vIMP @ (c @ X1 @ sK12) @ (c @ X1 @ sK6) = $true) | (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ sK6))) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ paris))) = $true)) )), 3.64/0.81 inference(combinator_demodulation,[],[f290])). 3.64/0.81 tff(f292,plain,( 3.64/0.81 ( ! [X1:reg] : ((c @ X1 @ sK12 = $false) | (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ sK6))) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ paris))) = $true) | (c @ X1 @ sK6 = $true)) )), 3.64/0.81 inference(binary_proxy_clausification,[],[f291])). 3.64/0.81 tff(f293,plain,( 3.64/0.81 ( ! [X1:reg] : ((c @ X1 @ sK12 = $false) | (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ sK6)) = $true) | (c @ X1 @ sK6 = $true)) )), 3.64/0.81 inference(binary_proxy_clausification,[],[f292])). 3.64/0.81 tff(f294,plain,( 3.64/0.81 ( ! [X1:reg] : ((c @ X1 @ sK12 = $false) | (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ paris)) = $true) | (c @ X1 @ sK6 = $true)) )), 3.64/0.81 inference(binary_proxy_clausification,[],[f292])). 3.64/0.81 tff(f295,plain,( 3.64/0.81 ( ! [X2:reg,X1:reg] : ((c @ X1 @ sK12 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ paris) @ X2 = $true) | (c @ X1 @ sK6 = $true)) )), 3.64/0.81 inference(pi_clausification,[],[f294])). 3.64/0.81 tff(f296,plain,( 3.64/0.81 ( ! [X2:reg,X1:reg] : ((c @ X1 @ sK12 = $false) | (vIMP @ (c @ X2 @ sK11) @ (c @ X2 @ paris) = $true) | (c @ X1 @ sK6 = $true)) )), 3.64/0.81 inference(combinator_demodulation,[],[f295])). 3.64/0.81 tff(f297,plain,( 3.64/0.81 ( ! [X2:reg,X1:reg] : ((c @ X1 @ sK12 = $false) | (c @ X2 @ sK11 = $false) | (c @ X1 @ sK6 = $true) | (c @ X2 @ paris = $true)) )), 3.64/0.81 inference(binary_proxy_clausification,[],[f296])). 3.64/0.81 tff(f298,plain,( 3.64/0.81 ( ! [X2:reg,X1:reg] : ((c @ X1 @ sK12 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK11)) @ (cCOMB @ c @ sK6) @ X2 = $true) | (c @ X1 @ sK6 = $true)) )), 3.64/0.81 inference(pi_clausification,[],[f293])). 3.64/0.81 tff(f299,plain,( 3.64/0.81 ( ! [X2:reg,X1:reg] : ((c @ X1 @ sK12 = $false) | (vIMP @ (c @ X2 @ sK11) @ (c @ X2 @ sK6) = $true) | (c @ X1 @ sK6 = $true)) )), 3.64/0.81 inference(combinator_demodulation,[],[f298])). 3.64/0.81 tff(f300,plain,( 3.64/0.81 ( ! [X2:reg,X1:reg] : ((c @ X1 @ sK12 = $false) | (c @ X2 @ sK11 = $false) | (c @ X1 @ sK6 = $true) | (c @ X2 @ sK6 = $true)) )), 3.64/0.81 inference(binary_proxy_clausification,[],[f299])). 3.64/0.81 tff(f301,plain,( 3.64/0.81 (a @ sK4 @ sK5 = $true)), 3.64/0.81 inference(not_proxy_clausification,[],[f241])). 3.64/0.81 tff(f303,plain,( 3.64/0.81 ($false = $true) | (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ catalunya)) @ (cCOMB @ c @ spain))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ spain)) @ (cCOMB @ c @ catalunya))))) @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ catalunya)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ spain))) = $true)), 3.64/0.81 inference(superposition,[],[f301,f202])). 3.64/0.81 tff(f304,plain,( 3.64/0.81 ($false = $true) | (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ paris)) @ (cCOMB @ c @ france))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ france)) @ (cCOMB @ c @ paris))))) @ (vNOT @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ paris)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ france)))) = $true)), 3.64/0.81 inference(superposition,[],[f301,f196])). 3.64/0.81 tff(f402,plain,( 3.64/0.81 (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ paris)) @ (cCOMB @ c @ france))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ france)) @ (cCOMB @ c @ paris))))) @ (vNOT @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ paris)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ france)))) = $true)), 3.64/0.81 inference(trivial_inequality_removal,[],[f304])). 3.64/0.81 tff(f403,plain,( 3.64/0.81 (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ paris)) @ (cCOMB @ c @ france))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ france)) @ (cCOMB @ c @ paris)))) = $true)), 3.64/0.81 inference(binary_proxy_clausification,[],[f402])). 3.64/0.81 tff(f440,plain,( 3.64/0.81 (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ paris)) @ (cCOMB @ c @ france)) = $true)), 3.64/0.81 inference(binary_proxy_clausification,[],[f403])). 3.64/0.81 tff(f447,plain,( 3.64/0.81 ( ! [X1:reg] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ paris)) @ (cCOMB @ c @ france) @ X1 = $true)) )), 3.64/0.81 inference(pi_clausification,[],[f440])). 3.64/0.81 tff(f448,plain,( 3.64/0.81 ( ! [X1:reg] : ((vIMP @ (c @ X1 @ paris) @ (c @ X1 @ france) = $true)) )), 3.64/0.81 inference(combinator_demodulation,[],[f447])). 3.64/0.81 tff(f449,plain,( 3.64/0.81 ( ! [X1:reg] : ((c @ X1 @ paris = $false) | (c @ X1 @ france = $true)) )), 3.64/0.81 inference(binary_proxy_clausification,[],[f448])). 3.64/0.81 tff(f450,plain,( 3.64/0.81 (vAND @ (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ catalunya)) @ (cCOMB @ c @ spain))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ spain)) @ (cCOMB @ c @ catalunya))))) @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ catalunya)) @ (cCOMB @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))))))) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)))))))) @ spain))) = $true)), 3.64/0.81 inference(trivial_inequality_removal,[],[f303])). 3.64/0.81 tff(f451,plain,( 3.64/0.81 (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ catalunya)) @ (cCOMB @ c @ spain))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ spain)) @ (cCOMB @ c @ catalunya)))) = $true)), 3.64/0.81 inference(binary_proxy_clausification,[],[f450])). 3.64/0.81 tff(f487,plain,( 3.64/0.81 (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ catalunya)) @ (cCOMB @ c @ spain)) = $true)), 3.64/0.81 inference(binary_proxy_clausification,[],[f451])). 3.64/0.81 tff(f494,plain,( 3.64/0.81 ( ! [X1:reg] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ catalunya)) @ (cCOMB @ c @ spain) @ X1 = $true)) )), 3.64/0.81 inference(pi_clausification,[],[f487])). 3.64/0.81 tff(f495,plain,( 3.64/0.81 ( ! [X1:reg] : ((vIMP @ (c @ X1 @ catalunya) @ (c @ X1 @ spain) = $true)) )), 3.64/0.81 inference(combinator_demodulation,[],[f494])). 3.64/0.81 tff(f496,plain,( 3.64/0.81 ( ! [X1:reg] : ((c @ X1 @ catalunya = $false) | (c @ X1 @ spain = $true)) )), 3.64/0.81 inference(binary_proxy_clausification,[],[f495])). 3.64/0.81 tff(f599,plain,( 3.64/0.81 spl0_6 <=> ! [X2 : reg] : ((c @ X2 @ sK11 = $false) | (c @ X2 @ paris = $true))), 3.64/0.81 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])). 3.64/0.81 tff(f600,plain,( 3.64/0.81 ( ! [X2:reg] : ((c @ X2 @ sK11 = $false) | (c @ X2 @ paris = $true)) ) | ~spl0_6), 3.64/0.81 inference(avatar_component_clause,[],[f599])). 3.64/0.81 % (31135)Refutation not found, incomplete strategy 3.64/0.81 % (31135)------------------------------ 3.64/0.81 % (31135)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.64/0.81 % (31135)Termination reason: Refutation not found, incomplete strategy 3.64/0.81 3.64/0.81 % (31135)Memory used [KB]: 11769 3.64/0.81 % (31135)Time elapsed: 0.524 s 3.64/0.81 % (31135)------------------------------ 3.64/0.81 % (31135)------------------------------ 3.64/0.81 tff(f602,plain,( 3.64/0.81 spl0_8 <=> ! [X1 : reg] : ((c @ X1 @ sK12 = $false) | (c @ X1 @ catalunya = $true))), 3.64/0.81 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])). 3.64/0.81 tff(f603,plain,( 3.64/0.81 ( ! [X1:reg] : ((c @ X1 @ sK12 = $false) | (c @ X1 @ catalunya = $true)) ) | ~spl0_8), 3.64/0.81 inference(avatar_component_clause,[],[f602])). 3.64/0.81 tff(f604,plain,( 3.64/0.81 spl0_6 | spl0_8), 3.64/0.81 inference(avatar_split_clause,[],[f286,f602,f599])). 3.64/0.81 tff(f668,plain,( 3.64/0.81 spl0_10 <=> ! [X2 : reg] : ((c @ X2 @ sK11 = $false) | (c @ X2 @ sK6 = $true))), 3.64/0.81 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])). 3.64/0.81 tff(f669,plain,( 3.64/0.81 ( ! [X2:reg] : ((c @ X2 @ sK6 = $true) | (c @ X2 @ sK11 = $false)) ) | ~spl0_10), 3.64/0.81 inference(avatar_component_clause,[],[f668])). 3.64/0.81 tff(f670,plain,( 3.64/0.81 spl0_10 | spl0_8), 3.64/0.81 inference(avatar_split_clause,[],[f289,f602,f668])). 3.64/0.81 tff(f705,plain,( 3.64/0.81 spl0_12 <=> ! [X1 : reg] : ((c @ X1 @ sK12 = $false) | (c @ X1 @ sK6 = $true))), 3.64/0.81 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])). 3.64/0.81 tff(f706,plain,( 3.64/0.81 ( ! [X1:reg] : ((c @ X1 @ sK12 = $false) | (c @ X1 @ sK6 = $true)) ) | ~spl0_12), 3.64/0.81 inference(avatar_component_clause,[],[f705])). 3.64/0.81 tff(f707,plain,( 3.64/0.81 spl0_6 | spl0_12), 3.64/0.81 inference(avatar_split_clause,[],[f297,f705,f599])). 3.64/0.81 tff(f743,plain,( 3.64/0.81 spl0_10 | spl0_12), 3.64/0.81 inference(avatar_split_clause,[],[f300,f705,f668])). 3.64/0.81 tff(f745,plain,( 3.64/0.81 ( ! [X1:reg] : (($false = $true) | (c @ (sK8 @ X1) @ sK11 = $false) | (c @ (sK7 @ X1) @ X1 = $true)) ) | ~spl0_10), 3.64/0.81 inference(superposition,[],[f669,f257])). 3.64/0.81 tff(f746,plain,( 3.64/0.81 ( ! [X0:reg] : (($true != $true) | (c @ sK6 @ X0 = $true) | (c @ X0 @ sK11 = $false)) ) | ~spl0_10), 3.64/0.81 inference(superposition,[],[f148,f669])). 3.64/0.81 tff(f749,plain,( 3.64/0.81 ( ! [X0:reg] : ((c @ X0 @ sK11 = $false) | (c @ sK6 @ X0 = $true)) ) | ~spl0_10), 3.64/0.81 inference(trivial_inequality_removal,[],[f746])). 3.64/0.81 tff(f750,plain,( 3.64/0.81 ( ! [X1:reg] : ((c @ (sK8 @ X1) @ sK11 = $false) | (c @ (sK7 @ X1) @ X1 = $true)) ) | ~spl0_10), 3.64/0.81 inference(trivial_inequality_removal,[],[f745])). 3.64/0.81 tff(f912,plain,( 3.64/0.81 ($false = $true) | (c @ (sK10 @ sK12) @ sK6 = $true) | (c @ (sK9 @ sK12) @ sK12 = $true) | ~spl0_12), 3.64/0.81 inference(superposition,[],[f706,f271])). 3.64/0.81 tff(f928,plain,( 3.64/0.81 (c @ (sK10 @ sK12) @ sK6 = $true) | (c @ (sK9 @ sK12) @ sK12 = $true) | ~spl0_12), 3.64/0.81 inference(trivial_inequality_removal,[],[f912])). 3.64/0.81 tff(f1035,plain,( 3.64/0.81 ($false = $true) | (c @ (sK7 @ sK11) @ sK11 = $true) | (c @ (sK7 @ sK11) @ sK11 = $true) | ~spl0_10), 3.64/0.81 inference(superposition,[],[f750,f259])). 3.64/0.81 tff(f1040,plain,( 3.64/0.81 ($false = $true) | (c @ (sK7 @ sK11) @ sK11 = $true) | ~spl0_10), 3.64/0.81 inference(duplicate_literal_removal,[],[f1035])). 3.64/0.81 tff(f1041,plain,( 3.64/0.81 (c @ (sK7 @ sK11) @ sK11 = $true) | ~spl0_10), 3.64/0.81 inference(trivial_inequality_removal,[],[f1040])). 3.64/0.81 tff(f1076,plain,( 3.64/0.81 spl0_31 <=> (c @ sK6 @ (sK8 @ sK11) != $true)), 3.64/0.81 introduced(avatar_definition,[new_symbols(naming,[spl0_31])])). 3.64/0.82 % (31136)Time limit reached! 3.64/0.82 % (31136)------------------------------ 3.64/0.82 % (31136)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.64/0.82 % (31136)Termination reason: Time limit 3.64/0.82 3.64/0.82 % (31136)Memory used [KB]: 11769 3.64/0.82 % (31136)Time elapsed: 0.538 s 3.64/0.82 % (31136)------------------------------ 3.64/0.82 % (31136)------------------------------ 3.64/0.82 % (31125)Time limit reached! 3.64/0.82 % (31125)------------------------------ 3.64/0.82 % (31125)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.64/0.82 % (31125)Termination reason: Time limit 3.64/0.82 % (31125)Termination phase: Saturation 3.64/0.82 3.64/0.82 % (31125)Memory used [KB]: 1791 3.64/0.82 % (31125)Time elapsed: 0.500 s 3.64/0.82 % (31125)------------------------------ 3.64/0.82 % (31125)------------------------------ 4.18/0.82 tff(f1077,plain,( 4.18/0.82 (c @ sK6 @ (sK8 @ sK11) != $true) | ~spl0_31), 4.18/0.82 inference(avatar_component_clause,[],[f1076])). 4.18/0.82 tff(f1079,plain,( 4.18/0.82 spl0_30 <=> (c @ sK6 @ (sK8 @ sK11) = $true)), 4.18/0.82 introduced(avatar_definition,[new_symbols(naming,[spl0_30])])). 4.18/0.82 tff(f1080,plain,( 4.18/0.82 (c @ sK6 @ (sK8 @ sK11) = $true) | ~spl0_30), 4.18/0.82 inference(avatar_component_clause,[],[f1079])). 4.18/0.82 tff(f1132,plain,( 4.18/0.82 spl0_35 <=> (c @ (sK9 @ sK12) @ sK12 != $true)), 4.18/0.82 introduced(avatar_definition,[new_symbols(naming,[spl0_35])])). 4.18/0.82 tff(f1133,plain,( 4.18/0.82 (c @ (sK9 @ sK12) @ sK12 != $true) | ~spl0_35), 4.18/0.82 inference(avatar_component_clause,[],[f1132])). 4.18/0.82 tff(f1135,plain,( 4.18/0.82 spl0_34 <=> (c @ (sK9 @ sK12) @ sK12 = $true)), 4.18/0.82 introduced(avatar_definition,[new_symbols(naming,[spl0_34])])). 4.18/0.82 tff(f1136,plain,( 4.18/0.82 (c @ (sK9 @ sK12) @ sK12 = $true) | ~spl0_34), 4.18/0.82 inference(avatar_component_clause,[],[f1135])). 4.18/0.82 tff(f1173,plain,( 4.18/0.82 ($false = $true) | (c @ (sK7 @ sK11) @ paris = $true) | (~spl0_6 | ~spl0_10)), 4.18/0.82 inference(superposition,[],[f600,f1041])). 4.18/0.82 tff(f1195,plain,( 4.18/0.82 (c @ (sK7 @ sK11) @ paris = $true) | (~spl0_6 | ~spl0_10)), 4.18/0.82 inference(trivial_inequality_removal,[],[f1173])). 4.18/0.82 tff(f1267,plain,( 4.18/0.82 ($false = $true) | (c @ (sK7 @ sK11) @ france = $true) | (~spl0_6 | ~spl0_10)), 4.18/0.82 inference(superposition,[],[f449,f1195])). 4.18/0.82 tff(f1421,plain,( 4.18/0.82 ($false = $true) | (c @ (sK9 @ sK12) @ catalunya = $true) | (~spl0_8 | ~spl0_34)), 4.18/0.82 inference(superposition,[],[f1136,f603])). 4.18/0.82 tff(f1430,plain,( 4.18/0.82 (c @ (sK9 @ sK12) @ catalunya = $true) | (~spl0_8 | ~spl0_34)), 4.18/0.82 inference(trivial_inequality_removal,[],[f1421])). 4.18/0.82 tff(f1474,plain,( 4.18/0.82 ($false = $true) | (c @ (sK9 @ sK12) @ spain = $true) | (~spl0_8 | ~spl0_34)), 4.18/0.82 inference(superposition,[],[f1430,f496])). 4.18/0.82 tff(f1479,plain,( 4.18/0.82 (c @ (sK9 @ sK12) @ spain = $true) | (~spl0_8 | ~spl0_34)), 4.18/0.82 inference(trivial_inequality_removal,[],[f1474])). 4.18/0.82 tff(f1571,plain,( 4.18/0.82 ($false = $true) | (c @ (sK10 @ sK12) @ sK12 = $true) | (~spl0_8 | ~spl0_34)), 4.18/0.82 inference(superposition,[],[f1479,f272])). 4.18/0.82 tff(f1572,plain,( 4.18/0.82 ($false = $true) | (c @ (sK10 @ sK12) @ sK6 = $false) | (~spl0_8 | ~spl0_34)), 4.18/0.82 inference(superposition,[],[f1479,f270])). 4.18/0.82 tff(f1579,plain,( 4.18/0.82 (c @ (sK10 @ sK12) @ sK6 = $false) | (~spl0_8 | ~spl0_34)), 4.18/0.82 inference(trivial_inequality_removal,[],[f1572])). 4.18/0.82 tff(f1580,plain,( 4.18/0.82 (c @ (sK10 @ sK12) @ sK12 = $true) | (~spl0_8 | ~spl0_34)), 4.18/0.82 inference(trivial_inequality_removal,[],[f1571])). 4.18/0.82 tff(f1610,plain,( 4.18/0.82 ($false = $true) | (c @ (sK10 @ sK12) @ sK6 = $true) | (~spl0_8 | ~spl0_12 | ~spl0_34)), 4.18/0.82 inference(superposition,[],[f706,f1580])). 4.18/0.82 tff(f1613,plain,( 4.18/0.82 (c @ (sK10 @ sK12) @ sK6 = $true) | (~spl0_8 | ~spl0_12 | ~spl0_34)), 4.18/0.82 inference(trivial_inequality_removal,[],[f1610])). 4.18/0.82 tff(f1620,plain,( 4.18/0.82 ($false = $true) | (~spl0_8 | ~spl0_12 | ~spl0_34)), 4.18/0.82 inference(forward_demodulation,[],[f1613,f1579])). 4.18/0.82 tff(f1621,plain,( 4.18/0.82 $false | (~spl0_8 | ~spl0_12 | ~spl0_34)), 4.18/0.82 inference(trivial_inequality_removal,[],[f1620])). 4.18/0.82 tff(f1622,plain,( 4.18/0.82 ~spl0_8 | ~spl0_12 | ~spl0_34), 4.18/0.82 inference(avatar_contradiction_clause,[],[f1621])). 4.18/0.82 tff(f1631,plain,( 4.18/0.82 ($true != $true) | (c @ (sK9 @ sK12) @ sK12 = $false) | ~spl0_35), 4.18/0.82 inference(fool_paramodulation,[],[f1133])). 4.18/0.82 tff(f1634,plain,( 4.18/0.82 (c @ (sK10 @ sK12) @ sK6 = $false) | ~spl0_35), 4.18/0.82 inference(unit_resulting_resolution,[],[f1133,f269])). 4.18/0.82 tff(f1638,plain,( 4.18/0.82 (c @ (sK9 @ sK12) @ sK12 = $false) | ~spl0_35), 4.18/0.82 inference(trivial_inequality_removal,[],[f1631])). 4.18/0.82 tff(f1640,plain,( 4.18/0.82 ($false = $true) | (c @ (sK10 @ sK12) @ sK6 = $true) | (~spl0_12 | ~spl0_35)), 4.18/0.82 inference(backward_demodulation,[],[f1638,f928])). 4.18/0.82 tff(f1643,plain,( 4.18/0.82 (c @ (sK10 @ sK12) @ sK6 = $true) | (~spl0_12 | ~spl0_35)), 4.18/0.82 inference(trivial_inequality_removal,[],[f1640])). 4.18/0.82 tff(f1644,plain,( 4.18/0.82 ($false = $true) | (~spl0_12 | ~spl0_35)), 4.18/0.82 inference(backward_demodulation,[],[f1634,f1643])). 4.18/0.82 tff(f1645,plain,( 4.18/0.82 $false | (~spl0_12 | ~spl0_35)), 4.18/0.82 inference(trivial_inequality_removal,[],[f1644])). 4.18/0.82 tff(f1646,plain,( 4.18/0.82 ~spl0_12 | spl0_35), 4.18/0.82 inference(avatar_contradiction_clause,[],[f1645])). 4.18/0.82 tff(f1705,plain,( 4.18/0.82 (c @ (sK7 @ sK11) @ france = $true) | (~spl0_6 | ~spl0_10)), 4.18/0.82 inference(trivial_inequality_removal,[],[f1267])). 4.18/0.82 tff(f1839,plain,( 4.18/0.82 (c @ (sK8 @ sK11) @ sK6 = $true) | ~spl0_30), 4.18/0.82 inference(unit_resulting_resolution,[],[f1080,f148])). 4.18/0.82 tff(f1977,plain,( 4.18/0.82 ($false = $true) | (c @ (sK8 @ sK11) @ sK11 = $true) | (~spl0_6 | ~spl0_10)), 4.18/0.82 inference(superposition,[],[f1705,f260])). 4.18/0.82 tff(f1978,plain,( 4.18/0.82 ($false = $true) | (c @ (sK8 @ sK11) @ sK6 = $false) | (~spl0_6 | ~spl0_10)), 4.18/0.82 inference(superposition,[],[f1705,f258])). 4.18/0.82 tff(f1985,plain,( 4.18/0.82 (c @ (sK8 @ sK11) @ sK6 = $false) | (~spl0_6 | ~spl0_10)), 4.18/0.82 inference(trivial_inequality_removal,[],[f1978])). 4.18/0.82 tff(f1986,plain,( 4.18/0.82 (c @ (sK8 @ sK11) @ sK11 = $true) | (~spl0_6 | ~spl0_10)), 4.18/0.82 inference(trivial_inequality_removal,[],[f1977])). 4.18/0.82 tff(f1987,plain,( 4.18/0.82 ($false = $true) | (~spl0_6 | ~spl0_10 | ~spl0_30)), 4.18/0.82 inference(backward_demodulation,[],[f1985,f1839])). 4.18/0.82 tff(f1988,plain,( 4.18/0.82 $false | (~spl0_6 | ~spl0_10 | ~spl0_30)), 4.18/0.82 inference(trivial_inequality_removal,[],[f1987])). 4.18/0.82 tff(f1989,plain,( 4.18/0.82 ~spl0_6 | ~spl0_10 | ~spl0_30), 4.18/0.82 inference(avatar_contradiction_clause,[],[f1988])). 4.18/0.82 tff(f1991,plain,( 4.18/0.82 (c @ (sK8 @ sK11) @ sK11 = $false) | (~spl0_10 | ~spl0_31)), 4.18/0.82 inference(unit_resulting_resolution,[],[f1077,f749])). 4.18/0.82 tff(f1996,plain,( 4.18/0.82 ($false = $true) | (~spl0_6 | ~spl0_10 | ~spl0_31)), 4.18/0.82 inference(backward_demodulation,[],[f1991,f1986])). 4.18/0.82 tff(f1997,plain,( 4.18/0.82 $false | (~spl0_6 | ~spl0_10 | ~spl0_31)), 4.18/0.82 inference(trivial_inequality_removal,[],[f1996])). 4.18/0.82 tff(f1998,plain,( 4.18/0.82 ~spl0_6 | ~spl0_10 | spl0_31), 4.18/0.82 inference(avatar_contradiction_clause,[],[f1997])). 4.18/0.82 tff(f1999,plain,( 4.18/0.82 $false), 4.18/0.82 inference(avatar_sat_refutation,[],[f604,f670,f707,f743,f1622,f1646,f1989,f1998])). 4.18/0.82 % SZS output end Proof for theBenchmark 4.18/0.82 % (31149)------------------------------ 4.18/0.82 % (31149)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 4.18/0.82 % (31149)Termination reason: Refutation 4.18/0.82 4.18/0.82 % (31149)Memory used [KB]: 7291 4.18/0.82 % (31149)Time elapsed: 0.464 s 4.18/0.82 % (31149)------------------------------ 4.18/0.82 % (31149)------------------------------ 4.18/0.83 % (31124)Success in time 0.558 s 4.18/0.83 EOF