0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_vampire %s %d 0.12/0.34 % Computer : n025.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Thu Jul 2 07:41:33 EDT 2020 0.12/0.34 % CPUTime : 0.21/0.39 % (13753)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 0.21/0.39 % (13760)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 0.21/0.40 % (13743)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 0.21/0.40 % (13750)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 0.21/0.40 % (13745)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 0.21/0.40 % (13744)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 0.21/0.40 % (13747)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 0.21/0.40 % (13749)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 0.21/0.40 % (13764)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 0.21/0.40 % (13746)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 0.21/0.40 % (13756)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 0.21/0.41 % (13768)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 0.21/0.41 % (13748)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 0.21/0.42 % (13742)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 0.21/0.42 % (13761)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 0.21/0.42 % (13767)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 0.21/0.42 % (13770)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 0.21/0.42 % (13769)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 0.21/0.42 % (13758)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 0.21/0.42 % (13771)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 0.21/0.43 % (13766)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 0.21/0.43 % (13763)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 0.21/0.43 % (13762)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 0.21/0.43 % (13765)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 0.21/0.43 % (13759)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 0.21/0.43 % (13754)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 0.21/0.44 % (13755)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 0.21/0.44 % (13757)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 0.21/0.44 % (13752)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 0.21/0.44 % (13751)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 2.57/0.70 % (13752)Refutation not found, incomplete strategy 2.57/0.70 % (13752)------------------------------ 2.57/0.70 % (13752)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 2.57/0.72 % (13752)Termination reason: Refutation not found, incomplete strategy 2.57/0.72 2.57/0.72 % (13752)Memory used [KB]: 11769 2.57/0.72 % (13752)Time elapsed: 0.331 s 2.57/0.72 % (13752)------------------------------ 2.57/0.72 % (13752)------------------------------ 2.57/0.74 % (13772)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 3.19/0.81 % (13756)Time limit reached! 3.19/0.81 % (13756)------------------------------ 3.19/0.81 % (13756)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.19/0.81 % (13756)Termination reason: Time limit 3.19/0.81 3.19/0.81 % (13756)Memory used [KB]: 9338 3.19/0.81 % (13756)Time elapsed: 0.422 s 3.19/0.81 % (13756)------------------------------ 3.19/0.81 % (13756)------------------------------ 3.52/0.82 % (13754)Refutation found. Thanks to Tanya! 3.52/0.82 % SZS status Theorem for theBenchmark 3.52/0.82 % (13744)Refutation not found, incomplete strategy 3.52/0.82 % (13744)------------------------------ 3.52/0.82 % (13744)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.52/0.82 % SZS output start Proof for theBenchmark 3.52/0.82 tff(func_def_0, type, mu: '$tType'). 3.52/0.82 tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType'). 3.52/0.82 tff(func_def_5, type, meq_ind: mu -> mu -> '$i' -> '$o'). 3.52/0.82 tff(func_def_6, type, meq_prop: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.52/0.82 tff(func_def_7, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 3.52/0.82 tff(func_def_8, type, mnot: ('$i' -> '$o') -> '$i' -> '$o'). 3.52/0.82 tff(func_def_9, type, mor: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.52/0.82 tff(func_def_10, type, mand: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.52/0.82 tff(func_def_11, type, mimplies: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.52/0.82 tff(func_def_12, type, mimplied: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.52/0.82 tff(func_def_13, type, mequiv: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.52/0.82 tff(func_def_14, type, mxor: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.52/0.82 tff(func_def_15, type, mforall_ind: (mu -> '$i' -> '$o') -> '$i' -> '$o'). 3.52/0.82 tff(func_def_16, type, mforall_prop: (('$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o'). 3.52/0.82 tff(func_def_17, type, mexists_ind: (mu -> '$i' -> '$o') -> '$i' -> '$o'). 3.52/0.82 tff(func_def_18, type, mexists_prop: (('$i' -> '$o') -> '$i' -> '$o') -> '$i' -> '$o'). 3.52/0.82 tff(func_def_19, type, mtrue: '$i' -> '$o'). 3.52/0.82 tff(func_def_20, type, mfalse: '$i' -> '$o'). 3.52/0.82 tff(func_def_21, type, mbox: ('$i' -> '$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.52/0.82 tff(func_def_22, type, mdia: ('$i' -> '$i' -> '$o') -> ('$i' -> '$o') -> '$i' -> '$o'). 3.52/0.82 tff(func_def_23, type, mreflexive: ('$i' -> '$i' -> '$o') -> '$o'). 3.52/0.82 tff(func_def_24, type, msymmetric: ('$i' -> '$i' -> '$o') -> '$o'). 3.52/0.82 tff(func_def_25, type, mserial: ('$i' -> '$i' -> '$o') -> '$o'). 3.52/0.82 tff(func_def_26, type, mtransitive: ('$i' -> '$i' -> '$o') -> '$o'). 3.52/0.82 tff(func_def_27, type, meuclidean: ('$i' -> '$i' -> '$o') -> '$o'). 3.52/0.82 tff(func_def_28, type, mpartially_functional: ('$i' -> '$i' -> '$o') -> '$o'). 3.52/0.82 tff(func_def_29, type, mfunctional: ('$i' -> '$i' -> '$o') -> '$o'). 3.52/0.82 tff(func_def_30, type, mweakly_dense: ('$i' -> '$i' -> '$o') -> '$o'). 3.52/0.82 tff(func_def_31, type, mweakly_connected: ('$i' -> '$i' -> '$o') -> '$o'). 3.52/0.82 tff(func_def_32, type, mweakly_directed: ('$i' -> '$i' -> '$o') -> '$o'). 3.52/0.82 tff(func_def_33, type, mvalid: ('$i' -> '$o') -> '$o'). 3.52/0.82 tff(func_def_34, type, minvalid: ('$i' -> '$o') -> '$o'). 3.52/0.82 tff(func_def_35, type, msatisfiable: ('$i' -> '$o') -> '$o'). 3.52/0.82 tff(func_def_36, type, mcountersatisfiable: ('$i' -> '$o') -> '$o'). 3.52/0.82 tff(func_def_37, type, reg: '$tType'). 3.52/0.82 tff(func_def_38, type, c: reg -> reg -> '$o'). 3.52/0.82 tff(func_def_39, type, dc: reg -> reg -> '$o'). 3.52/0.82 tff(func_def_40, type, p: reg -> reg -> '$o'). 3.52/0.82 tff(func_def_41, type, eq: reg -> reg -> '$o'). 3.52/0.82 tff(func_def_42, type, o: reg -> reg -> '$o'). 3.52/0.82 tff(func_def_43, type, po: reg -> reg -> '$o'). 3.52/0.82 tff(func_def_44, type, ec: reg -> reg -> '$o'). 3.52/0.82 tff(func_def_45, type, pp: reg -> reg -> '$o'). 3.52/0.82 tff(func_def_46, type, tpp: reg -> reg -> '$o'). 3.52/0.82 tff(func_def_47, type, ntpp: reg -> reg -> '$o'). 3.52/0.82 tff(func_def_48, type, catalunya: reg). 3.52/0.82 tff(func_def_49, type, france: reg). 3.52/0.82 tff(func_def_50, type, spain: reg). 3.52/0.82 tff(func_def_51, type, paris: reg). 3.52/0.82 tff(func_def_52, type, a: '$i' -> '$i' -> '$o'). 3.52/0.82 tff(func_def_53, type, fool: '$i' -> '$i' -> '$o'). 3.52/0.82 tff(func_def_54, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 3.52/0.82 tff(func_def_55, type, vIMP: '$o' -> '$o' -> '$o'). 3.52/0.82 tff(func_def_56, type, vNOT: '$o' -> '$o'). 3.52/0.82 tff(func_def_57, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 3.52/0.82 tff(func_def_58, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 3.52/0.82 tff(func_def_59, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 3.52/0.82 tff(func_def_60, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 3.52/0.82 tff(func_def_61, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 3.52/0.82 tff(func_def_64, type, vAND: '$o' -> '$o' -> '$o'). 3.52/0.82 tff(func_def_65, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 3.52/0.82 tff(func_def_66, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 3.52/0.82 tff(func_def_67, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 3.52/0.82 tff(func_def_68, type, vOR: '$o' -> '$o' -> '$o'). 3.52/0.82 tff(func_def_70, type, sK1: ('$i' -> '$o') -> '$i' -> '$i'). 3.52/0.82 tff(func_def_71, type, sK2: ('$i' -> '$o') -> '$i' -> '$i'). 3.52/0.82 tff(func_def_72, type, sK3: ('$i' -> '$o') -> '$i' -> '$i'). 3.52/0.82 tff(func_def_73, type, sK4: reg -> reg). 3.52/0.82 tff(func_def_74, type, sK5: reg -> reg). 3.52/0.82 tff(func_def_75, type, sK6: reg). 3.52/0.82 tff(func_def_76, type, sK7: reg -> reg). 3.52/0.82 tff(func_def_77, type, sK8: reg -> reg). 3.52/0.82 tff(func_def_78, type, sK9: reg -> reg). 3.52/0.82 tff(func_def_79, type, sK10: reg -> reg). 3.52/0.82 tff(func_def_80, type, sK11: reg). 3.52/0.82 tff(func_def_81, type, sK12: reg -> reg). 3.52/0.82 tff(func_def_82, type, sK13: reg -> reg). 3.52/0.82 tff(func_def_83, type, sK14: reg). 3.52/0.82 tff(func_def_86, type, sK17: reg). 3.52/0.82 tff(func_def_87, type, sK18: '$i' -> '$i' -> '$i'). 3.52/0.82 tff(func_def_88, type, sK19: '$i' -> '$i' -> '$i'). 3.52/0.82 tff(f3,axiom,( 3.52/0.82 mnot = (^[X3 : '$i' -> '$o', X2 : '$i'] : ~X3 @ X2)), 3.52/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)). 3.52/0.82 tff(f4,axiom,( 3.52/0.82 mor = (^[X3 : '$i' -> '$o', X4 : '$i' -> '$o', X2 : '$i'] : X4 @ X2 | X3 @ X2)), 3.52/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)). 3.52/0.82 tff(f6,axiom,( 3.52/0.82 mimplies = (^[X3 : '$i' -> '$o', X4 : '$i' -> '$o'] : mor @ (mnot @ X3) @ X4)), 3.52/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)). 3.52/0.82 tff(f11,axiom,( 3.52/0.82 mforall_prop = (^[X3 : ('$i' -> '$o') -> '$i' -> '$o', X2 : '$i'] : ! [X5 : '$i' -> '$o'] : X3 @ X5 @ X2)), 3.52/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_prop)). 3.52/0.82 tff(f16,axiom,( 3.52/0.82 mbox = (^[X6 : '$i' -> '$i' -> '$o', X3 : '$i' -> '$o', X2 : '$i'] : ! [X7] : (X3 @ X7 | ~X6 @ X2 @ X7))), 3.52/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)). 3.52/0.82 tff(f28,axiom,( 3.52/0.82 mvalid = (^[X3 : '$i' -> '$o'] : ! [X2] : X3 @ X2)), 3.52/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)). 3.52/0.82 tff(f33,axiom,( 3.52/0.82 p = (^[X0 : reg, X1 : reg] : ! [X11 : reg] : (c @ X11 @ X0 => c @ X11 @ X1))), 3.52/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p)). 3.52/0.82 tff(f35,axiom,( 3.52/0.82 o = (^[X0 : reg, X1 : reg] : ? [X11 : reg] : (p @ X11 @ X1 & p @ X11 @ X0))), 3.52/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o)). 3.52/0.82 tff(f37,axiom,( 3.52/0.82 ec = (^[X0 : reg, X1 : reg] : ~o @ X0 @ X1 & c @ X0 @ X1)), 3.52/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ec)). 3.52/0.82 tff(f38,axiom,( 3.52/0.82 pp = (^[X0 : reg, X1 : reg] : ~p @ X1 @ X0 & p @ X0 @ X1)), 3.52/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pp)). 3.52/0.82 tff(f39,axiom,( 3.52/0.82 tpp = (^[X0 : reg, X1 : reg] : ? [X11 : reg] : (ec @ X11 @ X1 & ec @ X11 @ X0) & pp @ X0 @ X1)), 3.52/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tpp)). 3.52/0.82 tff(f40,axiom,( 3.52/0.82 ntpp = (^[X0 : reg, X1 : reg] : ~? [X11 : reg] : (ec @ X11 @ X1 & ec @ X11 @ X0) & pp @ X0 @ X1)), 3.52/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ntpp)). 3.52/0.82 tff(f41,axiom,( 3.52/0.82 ! [X0 : reg,X1 : reg] : (c @ X0 @ X1 => c @ X1 @ X0)), 3.52/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_symmetric)). 3.52/0.82 tff(f43,axiom,( 3.52/0.82 mvalid @ (mbox @ a @ (^[X0 : '$i'] : ntpp @ paris @ france))), 3.52/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)). 3.52/0.83 % (13744)Termination reason: Refutation not found, incomplete strategy 3.52/0.83 3.52/0.83 % (13744)Memory used [KB]: 12153 3.52/0.83 % (13744)Time elapsed: 0.447 s 3.52/0.83 % (13744)------------------------------ 3.52/0.83 % (13744)------------------------------ 3.52/0.83 tff(f44,axiom,( 3.52/0.83 mvalid @ (mforall_prop @ (^[X12 : '$i' -> '$o'] : mimplies @ (mbox @ fool @ X12) @ X12))), 3.52/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_axiom_for_fool)). 3.52/0.83 tff(f45,axiom,( 3.52/0.83 mvalid @ (mbox @ fool @ (^[X0 : '$i'] : ec @ spain @ france))), 3.52/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)). 3.52/0.83 tff(f46,axiom,( 3.52/0.83 mvalid @ (mbox @ a @ (^[X0 : '$i'] : tpp @ catalunya @ spain))), 3.52/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)). 3.52/0.83 tff(f49,conjecture,( 3.52/0.83 mvalid @ (mbox @ a @ (^[X0 : '$i'] : ! [X11 : reg] : (p @ X11 @ catalunya => ~p @ X11 @ paris)))), 3.52/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)). 3.52/0.83 tff(f50,negated_conjecture,( 3.52/0.83 ~mvalid @ (mbox @ a @ (^[X0 : '$i'] : ! [X11 : reg] : (p @ X11 @ catalunya => ~p @ X11 @ paris)))), 3.52/0.83 inference(negated_conjecture,[],[f49])). 3.52/0.83 tff(f51,plain,( 3.52/0.83 ~mvalid @ (mbox @ a @ (^[X0 : '$i'] : ! [X1 : reg] : (p @ X1 @ catalunya => ~p @ X1 @ paris)))), 3.52/0.83 inference(rectify,[],[f50])). 3.52/0.83 tff(f52,plain,( 3.52/0.83 ~(mvalid @ (mbox @ a @ (kCOMB @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ p @ catalunya)) @ (bCOMB @ vNOT @ (cCOMB @ p @ paris)))))) = $true)), 3.52/0.83 inference(fool_elimination,[],[f51])). 3.52/0.83 tff(f103,plain,( 3.52/0.83 ntpp = (^[X0 : reg, X1 : reg] : ~? [X2 : reg] : (ec @ X2 @ X1 & ec @ X2 @ X0) & pp @ X0 @ X1)), 3.52/0.83 inference(rectify,[],[f40])). 3.52/0.83 tff(f104,plain,( 3.52/0.83 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ pp)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ ec)))) @ (cCOMB @ ec)))) = ntpp), 3.52/0.83 inference(fool_elimination,[],[f103])). 3.52/0.83 tff(f105,plain,( 3.52/0.83 tpp = (^[X0 : reg, X1 : reg] : ? [X2 : reg] : (ec @ X2 @ X1 & ec @ X2 @ X0) & pp @ X0 @ X1)), 3.52/0.83 inference(rectify,[],[f39])). 3.52/0.83 tff(f106,plain,( 3.52/0.83 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ pp)) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ ec)))) @ (cCOMB @ ec))) = tpp), 3.52/0.83 inference(fool_elimination,[],[f105])). 3.52/0.83 tff(f107,plain,( 3.52/0.83 pp = (^[X0 : reg, X1 : reg] : ~p @ X1 @ X0 & p @ X0 @ X1)), 3.52/0.83 inference(rectify,[],[f38])). 3.52/0.83 tff(f108,plain,( 3.52/0.83 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ p)) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ p)) = pp), 3.52/0.83 inference(fool_elimination,[],[f107])). 3.52/0.83 tff(f111,plain,( 3.52/0.83 o = (^[X0 : reg, X1 : reg] : ? [X2 : reg] : (p @ X2 @ X1 & p @ X2 @ X0))), 3.52/0.83 inference(rectify,[],[f35])). 3.52/0.83 tff(f112,plain,( 3.52/0.83 bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ p)))) @ (cCOMB @ p)) = o), 3.52/0.83 inference(fool_elimination,[],[f111])). 3.52/0.83 tff(f113,plain,( 3.52/0.83 mor = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o', X2 : '$i'] : X1 @ X2 | X0 @ X2)), 3.52/0.83 inference(rectify,[],[f4])). 3.52/0.83 tff(f114,plain,( 3.52/0.83 bCOMB @ sCOMB @ (bCOMB @ vOR) = mor), 3.52/0.83 inference(fool_elimination,[],[f113])). 3.52/0.83 tff(f115,plain,( 3.52/0.83 ec = (^[X0 : reg, X1 : reg] : ~o @ X0 @ X1 & c @ X0 @ X1)), 3.52/0.83 inference(rectify,[],[f37])). 3.52/0.83 tff(f116,plain,( 3.52/0.83 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ o) = ec), 3.52/0.83 inference(fool_elimination,[],[f115])). 3.52/0.83 tff(f117,plain,( 3.52/0.83 mvalid = (^[X0 : '$i' -> '$o'] : ! [X1] : X0 @ X1)), 3.52/0.83 inference(rectify,[],[f28])). 3.52/0.83 tff(f118,plain,( 3.52/0.83 mvalid = vPI('$i')), 3.52/0.83 inference(fool_elimination,[],[f117])). 3.52/0.83 tff(f119,plain,( 3.52/0.83 mimplies = (^[X0 : '$i' -> '$o', X1 : '$i' -> '$o'] : mor @ (mnot @ X0) @ X1)), 3.52/0.83 inference(rectify,[],[f6])). 3.52/0.83 tff(f120,plain,( 3.52/0.83 bCOMB @ mor @ mnot = mimplies), 3.52/0.83 inference(fool_elimination,[],[f119])). 3.52/0.83 tff(f121,plain,( 3.52/0.83 mforall_prop = (^[X0 : ('$i' -> '$o') -> '$i' -> '$o', X1 : '$i'] : ! [X2 : '$i' -> '$o'] : X0 @ X2 @ X1)), 3.52/0.83 inference(rectify,[],[f11])). 3.52/0.83 tff(f122,plain,( 3.52/0.83 bCOMB @ (bCOMB @ vPI('$i' -> '$o')) @ cCOMB = mforall_prop), 3.52/0.83 inference(fool_elimination,[],[f121])). 3.52/0.83 tff(f123,plain,( 3.52/0.83 p = (^[X0 : reg, X1 : reg] : ! [X2 : reg] : (c @ X2 @ X0 => c @ X2 @ X1))), 3.52/0.83 inference(rectify,[],[f33])). 3.52/0.83 tff(f124,plain,( 3.52/0.83 bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)) = p), 3.52/0.83 inference(fool_elimination,[],[f123])). 3.52/0.83 tff(f125,plain,( 3.52/0.83 mnot = (^[X0 : '$i' -> '$o', X1 : '$i'] : ~X0 @ X1)), 3.52/0.83 inference(rectify,[],[f3])). 3.52/0.83 tff(f126,plain,( 3.52/0.83 bCOMB @ vNOT = mnot), 3.52/0.83 inference(fool_elimination,[],[f125])). 3.52/0.83 tff(f127,plain,( 3.52/0.83 mbox = (^[X0 : '$i' -> '$i' -> '$o', X1 : '$i' -> '$o', X2 : '$i'] : ! [X3] : (X1 @ X3 | ~X0 @ X2 @ X3))), 3.52/0.83 inference(rectify,[],[f16])). 3.52/0.83 tff(f128,plain,( 3.52/0.83 bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) = mbox), 3.52/0.83 inference(fool_elimination,[],[f127])). 3.52/0.83 tff(f131,plain,( 3.52/0.83 ! [X0 : reg,X1 : reg] : (c @ X0 @ X1 => c @ X1 @ X0)), 3.52/0.83 inference(rectify,[],[f41])). 3.52/0.83 tff(f132,plain,( 3.52/0.83 ! [X0 : reg,X1 : reg] : ((c @ X0 @ X1 = $true) => (c @ X1 @ X0 = $true))), 3.52/0.83 inference(fool_elimination,[],[f131])). 3.52/0.83 tff(f133,plain,( 3.52/0.83 mvalid @ (mbox @ a @ (^[X0 : '$i'] : ntpp @ paris @ france))), 3.52/0.83 inference(rectify,[],[f43])). 3.52/0.83 tff(f134,plain,( 3.52/0.83 (mvalid @ (mbox @ a @ (kCOMB @ (ntpp @ paris @ france))) = $true)), 3.52/0.83 inference(fool_elimination,[],[f133])). 3.52/0.83 tff(f135,plain,( 3.52/0.83 mvalid @ (mbox @ a @ (^[X0 : '$i'] : tpp @ catalunya @ spain))), 3.52/0.83 inference(rectify,[],[f46])). 3.52/0.83 tff(f136,plain,( 3.52/0.83 (mvalid @ (mbox @ a @ (kCOMB @ (tpp @ catalunya @ spain))) = $true)), 3.52/0.83 inference(fool_elimination,[],[f135])). 3.52/0.83 tff(f137,plain,( 3.52/0.83 mvalid @ (mbox @ fool @ (^[X0 : '$i'] : ec @ spain @ france))), 3.52/0.83 inference(rectify,[],[f45])). 3.52/0.83 tff(f138,plain,( 3.52/0.83 (mvalid @ (mbox @ fool @ (kCOMB @ (ec @ spain @ france))) = $true)), 3.52/0.83 inference(fool_elimination,[],[f137])). 3.52/0.83 tff(f139,plain,( 3.52/0.83 mvalid @ (mforall_prop @ (^[X0 : '$i' -> '$o'] : mimplies @ (mbox @ fool @ X0) @ X0))), 3.52/0.83 inference(rectify,[],[f44])). 3.52/0.83 tff(f140,plain,( 3.52/0.83 (mvalid @ (mforall_prop @ (sCOMB @ (bCOMB @ mimplies @ (mbox @ fool)) @ iCOMB)) = $true)), 3.52/0.83 inference(fool_elimination,[],[f139])). 3.52/0.83 tff(f145,plain,( 3.52/0.83 (mvalid @ (mbox @ a @ (kCOMB @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ p @ catalunya)) @ (bCOMB @ vNOT @ (cCOMB @ p @ paris)))))) != $true)), 3.52/0.83 inference(flattening,[],[f52])). 3.52/0.83 tff(f146,plain,( 3.52/0.83 ! [X0 : reg,X1 : reg] : ((c @ X1 @ X0 = $true) | (c @ X0 @ X1 != $true))), 3.52/0.83 inference(ennf_transformation,[],[f132])). 3.52/0.83 tff(f147,plain,( 3.52/0.83 (mvalid @ (mbox @ a @ (kCOMB @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ p @ catalunya)) @ (bCOMB @ vNOT @ (cCOMB @ p @ paris)))))) != $true)), 3.52/0.83 inference(cnf_transformation,[],[f145])). 3.52/0.83 tff(f175,plain,( 3.52/0.83 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ pp)) @ (bCOMB @ (bCOMB @ vNOT) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ ec)))) @ (cCOMB @ ec)))) = ntpp), 3.52/0.83 inference(cnf_transformation,[],[f104])). 3.52/0.83 tff(f176,plain,( 3.52/0.83 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ pp)) @ (bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ ec)))) @ (cCOMB @ ec))) = tpp), 3.52/0.83 inference(cnf_transformation,[],[f106])). 3.52/0.83 tff(f177,plain,( 3.52/0.83 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ p)) @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ p)) = pp), 3.52/0.83 inference(cnf_transformation,[],[f108])). 3.52/0.83 tff(f179,plain,( 3.52/0.83 bCOMB @ (bCOMB @ vSIGMA(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ p)))) @ (cCOMB @ p)) = o), 3.52/0.83 inference(cnf_transformation,[],[f112])). 3.52/0.83 tff(f180,plain,( 3.52/0.83 bCOMB @ sCOMB @ (bCOMB @ vOR) = mor), 3.52/0.83 inference(cnf_transformation,[],[f114])). 3.52/0.83 tff(f181,plain,( 3.52/0.83 sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ c)) @ (bCOMB @ (bCOMB @ vNOT) @ o) = ec), 3.52/0.83 inference(cnf_transformation,[],[f116])). 3.52/0.83 tff(f182,plain,( 3.52/0.83 mvalid = vPI('$i')), 3.52/0.83 inference(cnf_transformation,[],[f118])). 3.52/0.83 tff(f183,plain,( 3.52/0.83 bCOMB @ mor @ mnot = mimplies), 3.52/0.83 inference(cnf_transformation,[],[f120])). 3.52/0.83 tff(f184,plain,( 3.52/0.83 bCOMB @ (bCOMB @ vPI('$i' -> '$o')) @ cCOMB = mforall_prop), 3.52/0.83 inference(cnf_transformation,[],[f122])). 3.52/0.83 tff(f185,plain,( 3.52/0.83 bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c)) = p), 3.52/0.83 inference(cnf_transformation,[],[f124])). 3.52/0.83 tff(f186,plain,( 3.52/0.83 bCOMB @ vNOT = mnot), 3.52/0.83 inference(cnf_transformation,[],[f126])). 3.52/0.83 tff(f187,plain,( 3.52/0.83 bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) = mbox), 3.52/0.83 inference(cnf_transformation,[],[f128])). 3.52/0.83 tff(f189,plain,( 3.52/0.83 ( ! [X0:reg,X1:reg] : ((c @ X1 @ X0 = $true) | (c @ X0 @ X1 != $true)) )), 3.52/0.83 inference(cnf_transformation,[],[f146])). 3.52/0.83 tff(f190,plain,( 3.52/0.83 (mvalid @ (mbox @ a @ (kCOMB @ (ntpp @ paris @ france))) = $true)), 3.52/0.83 inference(cnf_transformation,[],[f134])). 3.52/0.83 tff(f191,plain,( 3.52/0.83 (mvalid @ (mbox @ a @ (kCOMB @ (tpp @ catalunya @ spain))) = $true)), 3.52/0.83 inference(cnf_transformation,[],[f136])). 3.52/0.83 tff(f192,plain,( 3.52/0.83 (mvalid @ (mbox @ fool @ (kCOMB @ (ec @ spain @ france))) = $true)), 3.52/0.83 inference(cnf_transformation,[],[f138])). 3.52/0.83 tff(f193,plain,( 3.52/0.83 (mvalid @ (mforall_prop @ (sCOMB @ (bCOMB @ mimplies @ (mbox @ fool)) @ iCOMB)) = $true)), 3.52/0.83 inference(cnf_transformation,[],[f140])). 3.52/0.83 tff(f197,plain,( 3.52/0.83 bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT) = mimplies), 3.52/0.83 inference(definition_unfolding,[],[f183,f180,f186])). 3.52/0.83 tff(f206,plain,( 3.52/0.83 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), 3.52/0.83 inference(definition_unfolding,[],[f179,f185,f185])). 3.52/0.83 tff(f208,plain,( 3.52/0.83 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), 3.52/0.83 inference(definition_unfolding,[],[f181,f206])). 3.52/0.83 tff(f209,plain,( 3.52/0.83 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), 3.52/0.83 inference(definition_unfolding,[],[f177,f185,f185])). 3.52/0.83 tff(f210,plain,( 3.52/0.83 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), 3.52/0.83 inference(definition_unfolding,[],[f176,f209,f208,f208])). 3.52/0.84 tff(f211,plain,( 3.52/0.84 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), 3.52/0.84 inference(definition_unfolding,[],[f175,f209,f208,f208])). 3.52/0.84 tff(f212,plain,( 3.52/0.84 (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 @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ catalunya)) @ (bCOMB @ vNOT @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ paris)))))) != $true)), 3.52/0.84 inference(definition_unfolding,[],[f147,f182,f187,f185,f185])). 3.79/0.84 tff(f213,plain,( 3.79/0.84 (vPI('$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))) = $true)), 3.79/0.84 inference(definition_unfolding,[],[f190,f182,f187,f211])). 3.79/0.84 tff(f214,plain,( 3.79/0.84 (vPI('$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))) = $true)), 3.79/0.84 inference(definition_unfolding,[],[f191,f182,f187,f210])). 3.79/0.85 tff(f215,plain,( 3.79/0.85 (vPI('$i') @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ fool @ (kCOMB @ (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 @ france))) = $true)), 3.79/0.85 inference(definition_unfolding,[],[f192,f182,f187,f208])). 3.79/0.85 tff(f216,plain,( 3.79/0.85 (vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i' -> '$o')) @ cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ fool)) @ iCOMB)) = $true)), 3.79/0.85 inference(definition_unfolding,[],[f193,f182,f184,f197,f187])). 3.79/0.85 tff(f251,plain,( 3.79/0.85 ( ! [X1] : ((bCOMB @ (bCOMB @ vPI('$i' -> '$o')) @ cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ fool)) @ iCOMB) @ X1 = $true)) )), 3.79/0.85 inference(pi_clausification,[],[f216])). 3.79/0.85 tff(f252,plain,( 3.79/0.85 ( ! [X1] : ((vPI('$i' -> '$o') @ (cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ fool)))))) @ iCOMB) @ X1) = $true)) )), 3.79/0.85 inference(combinator_demodulation,[],[f251])). 3.79/0.85 tff(f253,plain,( 3.79/0.85 ( ! [X2:'$i' -> '$o',X1] : ((cCOMB @ (sCOMB @ (bCOMB @ (bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vOR)) @ (bCOMB @ vNOT)) @ (bCOMB @ (bCOMB @ vPI('$i')) @ (cCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vOR) @ (bCOMB @ (bCOMB @ vNOT) @ fool)))))) @ iCOMB) @ X1 @ X2 = $true)) )), 3.79/0.85 inference(pi_clausification,[],[f252])). 3.79/0.85 tff(f254,plain,( 3.79/0.85 ( ! [X2:'$i' -> '$o',X1] : ((vOR @ (vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (fool @ X1))) @ X2))) @ (X2 @ X1) = $true)) )), 3.79/0.85 inference(combinator_demodulation,[],[f253])). 3.79/0.85 tff(f255,plain,( 3.79/0.85 ( ! [X2:'$i' -> '$o',X1] : ((vNOT @ (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (fool @ X1))) @ X2)) = $true) | (X2 @ X1 = $true)) )), 3.79/0.85 inference(binary_proxy_clausification,[],[f254])). 3.79/0.85 tff(f256,plain,( 3.79/0.85 ( ! [X2:'$i' -> '$o',X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (fool @ X1))) @ X2) = $false) | (X2 @ X1 = $true)) )), 3.79/0.85 inference(not_proxy_clausification,[],[f255])). 3.79/0.85 tff(f257,plain,( 3.79/0.85 ( ! [X2:'$i' -> '$o',X1] : ((sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (fool @ X1))) @ X2 @ (sK3 @ X2 @ X1) = $false) | (X2 @ X1 = $true)) )), 3.79/0.85 inference(sigma_clausification,[],[f256])). 3.79/0.85 tff(f258,plain,( 3.79/0.85 ( ! [X2:'$i' -> '$o',X1] : ((vOR @ (vNOT @ (fool @ X1 @ (sK3 @ X2 @ X1))) @ (X2 @ (sK3 @ X2 @ X1)) = $false) | (X2 @ X1 = $true)) )), 3.79/0.85 inference(combinator_demodulation,[],[f257])). 3.79/0.85 tff(f259,plain,( 3.79/0.85 ( ! [X2:'$i' -> '$o',X1] : ((vNOT @ (fool @ X1 @ (sK3 @ X2 @ X1)) = $false) | (X2 @ X1 = $true)) )), 3.79/0.85 inference(binary_proxy_clausification,[],[f258])). 3.79/0.85 tff(f261,plain,( 3.79/0.85 ( ! [X2:'$i' -> '$o',X1] : ((fool @ X1 @ (sK3 @ X2 @ X1) = $true) | (X2 @ X1 = $true)) )), 3.79/0.85 inference(not_proxy_clausification,[],[f259])). 3.79/0.85 tff(f262,plain,( 3.79/0.85 ( ! [X1] : ((bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ fool @ (kCOMB @ (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 @ france)) @ X1 = $true)) )), 3.79/0.85 inference(pi_clausification,[],[f215])). 3.79/0.85 tff(f263,plain,( 3.79/0.85 ( ! [X1] : ((vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (fool @ X1))) @ (kCOMB @ (vAND @ (c @ spain @ france) @ (vNOT @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ spain)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ france))))))) = $true)) )), 3.79/0.85 inference(combinator_demodulation,[],[f262])). 3.79/0.85 tff(f264,plain,( 3.79/0.85 ( ! [X2,X1] : ((sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (fool @ X1))) @ (kCOMB @ (vAND @ (c @ spain @ france) @ (vNOT @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ spain)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ france)))))) @ X2 = $true)) )), 3.79/0.85 inference(pi_clausification,[],[f263])). 3.79/0.85 tff(f265,plain,( 3.79/0.85 ( ! [X2,X1] : ((vOR @ (vNOT @ (fool @ X1 @ X2)) @ (vAND @ (c @ spain @ france) @ (vNOT @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ spain)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ france))))) = $true)) )), 3.79/0.85 inference(combinator_demodulation,[],[f264])). 3.79/0.85 tff(f266,plain,( 3.79/0.85 ( ! [X2,X1] : ((vNOT @ (fool @ X1 @ X2) = $true) | (vAND @ (c @ spain @ france) @ (vNOT @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ spain)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ france)))) = $true)) )), 3.79/0.85 inference(binary_proxy_clausification,[],[f265])). 3.79/0.85 tff(f267,plain,( 3.79/0.85 ( ! [X2,X1] : ((fool @ X1 @ X2 = $false) | (vAND @ (c @ spain @ france) @ (vNOT @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ spain)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ france)))) = $true)) )), 3.79/0.85 inference(not_proxy_clausification,[],[f266])). 3.79/0.85 tff(f269,plain,( 3.79/0.85 ( ! [X2,X1] : ((fool @ X1 @ X2 = $false) | (vNOT @ (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ spain)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ france))) = $true)) )), 3.79/0.85 inference(binary_proxy_clausification,[],[f267])). 3.79/0.86 % (13773)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 3.79/0.86 tff(f270,plain,( 3.79/0.86 ( ! [X2,X1] : ((fool @ X1 @ X2 = $false) | (vSIGMA(reg) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ spain)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ france)) = $false)) )), 3.79/0.86 inference(not_proxy_clausification,[],[f269])). 3.79/0.86 tff(f271,plain,( 3.79/0.86 ( ! [X2,X3:reg,X1] : ((fool @ X1 @ X2 = $false) | (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ spain)) @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ france) @ X3 = $false)) )), 3.79/0.86 inference(pi_clausification,[],[f270])). 3.79/0.86 tff(f272,plain,( 3.79/0.86 ( ! [X2,X3:reg,X1] : ((fool @ X1 @ X2 = $false) | (vAND @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X3)) @ (cCOMB @ c @ spain))) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X3)) @ (cCOMB @ c @ france))) = $false)) )), 3.79/0.86 inference(combinator_demodulation,[],[f271])). 3.79/0.86 tff(f273,plain,( 3.79/0.86 ( ! [X2,X3:reg,X1] : ((fool @ X1 @ X2 = $false) | (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X3)) @ (cCOMB @ c @ spain)) = $false) | (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X3)) @ (cCOMB @ c @ france)) = $false)) )), 3.79/0.86 inference(binary_proxy_clausification,[],[f272])). 3.79/0.86 tff(f274,plain,( 3.79/0.86 ( ! [X2,X3:reg,X1] : ((fool @ X1 @ X2 = $false) | (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X3)) @ (cCOMB @ c @ spain)) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X3)) @ (cCOMB @ c @ france) @ (sK4 @ X3) = $false)) )), 3.79/0.86 inference(sigma_clausification,[],[f273])). 3.79/0.86 tff(f275,plain,( 3.79/0.86 ( ! [X2,X3:reg,X1] : ((fool @ X1 @ X2 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X3)) @ (cCOMB @ c @ spain) @ (sK5 @ X3) = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ X3)) @ (cCOMB @ c @ france) @ (sK4 @ X3) = $false)) )), 3.79/0.86 inference(sigma_clausification,[],[f274])). 3.79/0.86 tff(f276,plain,( 3.79/0.86 ( ! [X2,X3:reg,X1] : ((fool @ X1 @ X2 = $false) | (vIMP @ (c @ (sK5 @ X3) @ X3) @ (c @ (sK5 @ X3) @ spain) = $false) | (vIMP @ (c @ (sK4 @ X3) @ X3) @ (c @ (sK4 @ X3) @ france) = $false)) )), 3.79/0.86 inference(combinator_demodulation,[],[f275])). 3.79/0.86 tff(f277,plain,( 3.79/0.86 ( ! [X2,X3:reg,X1] : ((fool @ X1 @ X2 = $false) | (c @ (sK5 @ X3) @ X3 = $true) | (vIMP @ (c @ (sK4 @ X3) @ X3) @ (c @ (sK4 @ X3) @ france) = $false)) )), 3.79/0.86 inference(binary_proxy_clausification,[],[f276])). 3.79/0.86 tff(f278,plain,( 3.79/0.86 ( ! [X2,X3:reg,X1] : ((fool @ X1 @ X2 = $false) | (c @ (sK5 @ X3) @ spain = $false) | (vIMP @ (c @ (sK4 @ X3) @ X3) @ (c @ (sK4 @ X3) @ france) = $false)) )), 3.79/0.86 inference(binary_proxy_clausification,[],[f276])). 3.79/0.86 tff(f279,plain,( 3.79/0.86 ( ! [X2,X3:reg,X1] : ((fool @ X1 @ X2 = $false) | (c @ (sK5 @ X3) @ spain = $false) | (c @ (sK4 @ X3) @ X3 = $true)) )), 3.79/0.86 inference(binary_proxy_clausification,[],[f278])). 3.79/0.86 tff(f280,plain,( 3.79/0.86 ( ! [X2,X3:reg,X1] : ((fool @ X1 @ X2 = $false) | (c @ (sK5 @ X3) @ spain = $false) | (c @ (sK4 @ X3) @ france = $false)) )), 3.79/0.86 inference(binary_proxy_clausification,[],[f278])). 3.79/0.86 tff(f281,plain,( 3.79/0.86 ( ! [X2,X3:reg,X1] : ((fool @ X1 @ X2 = $false) | (c @ (sK5 @ X3) @ X3 = $true) | (c @ (sK4 @ X3) @ X3 = $true)) )), 3.79/0.86 inference(binary_proxy_clausification,[],[f277])). 3.79/0.86 tff(f282,plain,( 3.79/0.86 ( ! [X2,X3:reg,X1] : ((fool @ X1 @ X2 = $false) | (c @ (sK5 @ X3) @ X3 = $true) | (c @ (sK4 @ X3) @ france = $false)) )), 3.79/0.86 inference(binary_proxy_clausification,[],[f277])). 3.79/0.86 tff(f283,plain,( 3.79/0.86 ( ! [X1] : ((bCOMB @ (bCOMB @ (bCOMB @ vPI('$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 = $true)) )), 3.79/0.86 inference(pi_clausification,[],[f214])). 3.79/0.86 tff(f284,plain,( 3.79/0.86 ( ! [X1] : ((vPI('$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)) )), 3.79/0.86 inference(combinator_demodulation,[],[f283])). 3.79/0.86 tff(f285,plain,( 3.79/0.86 ( ! [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)) )), 3.79/0.86 inference(pi_clausification,[],[f284])). 3.79/0.86 tff(f286,plain,( 3.79/0.86 ( ! [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)) )), 3.79/0.86 inference(combinator_demodulation,[],[f285])). 3.79/0.87 tff(f287,plain,( 3.79/0.87 ( ! [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)) )), 3.79/0.87 inference(binary_proxy_clausification,[],[f286])). 3.79/0.87 tff(f288,plain,( 3.79/0.87 ( ! [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)) )), 3.79/0.87 inference(not_proxy_clausification,[],[f287])). 3.79/0.87 tff(f289,plain,( 3.79/0.87 ( ! [X2,X1] : ((a @ X1 @ X2 = $false) | (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)) )), 3.79/0.87 inference(binary_proxy_clausification,[],[f288])). 3.79/0.87 tff(f325,plain,( 3.79/0.87 ( ! [X2,X1] : ((a @ X1 @ X2 = $false) | (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ catalunya)) @ (cCOMB @ c @ spain)) = $true)) )), 3.79/0.87 inference(binary_proxy_clausification,[],[f289])). 3.79/0.87 tff(f332,plain,( 3.79/0.87 ( ! [X2,X3:reg,X1] : ((a @ X1 @ X2 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ catalunya)) @ (cCOMB @ c @ spain) @ X3 = $true)) )), 3.79/0.87 inference(pi_clausification,[],[f325])). 3.79/0.87 tff(f333,plain,( 3.79/0.87 ( ! [X2,X3:reg,X1] : ((a @ X1 @ X2 = $false) | (vIMP @ (c @ X3 @ catalunya) @ (c @ X3 @ spain) = $true)) )), 3.79/0.87 inference(combinator_demodulation,[],[f332])). 3.79/0.87 tff(f334,plain,( 3.79/0.87 ( ! [X2,X3:reg,X1] : ((a @ X1 @ X2 = $false) | (c @ X3 @ catalunya = $false) | (c @ X3 @ spain = $true)) )), 3.79/0.87 inference(binary_proxy_clausification,[],[f333])). 3.79/0.87 tff(f335,plain,( 3.79/0.87 ( ! [X1] : ((bCOMB @ (bCOMB @ (bCOMB @ vPI('$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 = $true)) )), 3.79/0.87 inference(pi_clausification,[],[f213])). 3.79/0.87 tff(f336,plain,( 3.79/0.87 ( ! [X1] : ((vPI('$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)) )), 3.79/0.87 inference(combinator_demodulation,[],[f335])). 3.79/0.87 tff(f337,plain,( 3.79/0.87 ( ! [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)) )), 3.79/0.87 inference(pi_clausification,[],[f336])). 3.79/0.87 % (13774)lrs+1011_8_add=large:csup=on:inj=on:prag=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_26 on theBenchmark 3.79/0.88 % (13743)Time limit reached! 3.79/0.88 % (13743)------------------------------ 3.79/0.88 % (13743)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.79/0.88 % (13743)Termination reason: Time limit 3.79/0.88 3.79/0.88 % (13743)Memory used [KB]: 12153 3.79/0.88 % (13743)Time elapsed: 0.502 s 3.79/0.88 % (13743)------------------------------ 3.79/0.88 % (13743)------------------------------ 3.79/0.88 tff(f338,plain,( 3.79/0.88 ( ! [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)) )), 3.79/0.88 inference(combinator_demodulation,[],[f337])). 3.79/0.88 tff(f339,plain,( 3.79/0.88 ( ! [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)) )), 3.79/0.88 inference(binary_proxy_clausification,[],[f338])). 3.79/0.88 tff(f340,plain,( 3.79/0.88 ( ! [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)) )), 3.79/0.88 inference(not_proxy_clausification,[],[f339])). 3.79/0.88 tff(f341,plain,( 3.79/0.88 ( ! [X2,X1] : ((a @ X1 @ X2 = $false) | (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)) )), 3.79/0.88 inference(binary_proxy_clausification,[],[f340])). 3.79/0.88 tff(f378,plain,( 3.79/0.88 ( ! [X2,X1] : ((a @ X1 @ X2 = $false) | (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ paris)) @ (cCOMB @ c @ france)) = $true)) )), 3.79/0.88 inference(binary_proxy_clausification,[],[f341])). 3.79/0.88 tff(f385,plain,( 3.79/0.88 ( ! [X2,X3:reg,X1] : ((a @ X1 @ X2 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ paris)) @ (cCOMB @ c @ france) @ X3 = $true)) )), 3.79/0.88 inference(pi_clausification,[],[f378])). 3.79/0.88 tff(f386,plain,( 3.79/0.88 ( ! [X2,X3:reg,X1] : ((a @ X1 @ X2 = $false) | (vIMP @ (c @ X3 @ paris) @ (c @ X3 @ france) = $true)) )), 3.79/0.88 inference(combinator_demodulation,[],[f385])). 3.79/0.88 tff(f387,plain,( 3.79/0.88 ( ! [X2,X3:reg,X1] : ((a @ X1 @ X2 = $false) | (c @ X3 @ paris = $false) | (c @ X3 @ france = $true)) )), 3.79/0.88 inference(binary_proxy_clausification,[],[f386])). 3.79/0.88 tff(f388,plain,( 3.79/0.88 (bCOMB @ (bCOMB @ (bCOMB @ vPI('$i'))) @ (bCOMB @ cCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vOR)) @ (bCOMB @ (bCOMB @ vNOT))))) @ a @ (kCOMB @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ catalunya)) @ (bCOMB @ vNOT @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ paris))))) @ sK15 = $false)), 3.79/0.88 inference(sigma_clausification,[],[f212])). 3.79/0.88 tff(f389,plain,( 3.79/0.88 (vPI('$i') @ (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a @ sK15))) @ (kCOMB @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ catalunya)) @ (bCOMB @ vNOT @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ paris)))))) = $false)), 3.79/0.88 inference(combinator_demodulation,[],[f388])). 3.79/0.88 tff(f390,plain,( 3.79/0.88 (sCOMB @ (bCOMB @ vOR @ (bCOMB @ vNOT @ (a @ sK15))) @ (kCOMB @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ catalunya)) @ (bCOMB @ vNOT @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ paris))))) @ sK16 = $false)), 3.79/0.88 inference(sigma_clausification,[],[f389])). 3.79/0.88 % (13745)Time limit reached! 3.79/0.88 % (13745)------------------------------ 3.79/0.88 % (13745)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.79/0.88 % (13745)Termination reason: Time limit 3.79/0.88 3.79/0.88 % (13745)Memory used [KB]: 13944 3.79/0.88 % (13745)Time elapsed: 0.513 s 3.79/0.88 % (13745)------------------------------ 3.79/0.88 % (13745)------------------------------ 3.79/0.88 tff(f391,plain,( 3.79/0.88 (vOR @ (vNOT @ (a @ sK15 @ sK16)) @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ catalunya)) @ (bCOMB @ vNOT @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ paris)))) = $false)), 3.79/0.88 inference(combinator_demodulation,[],[f390])). 3.79/0.89 tff(f392,plain,( 3.79/0.89 (vNOT @ (a @ sK15 @ sK16) = $false)), 3.79/0.89 inference(binary_proxy_clausification,[],[f391])). 3.79/0.89 tff(f393,plain,( 3.79/0.89 (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ catalunya)) @ (bCOMB @ vNOT @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ paris))) = $false)), 3.79/0.89 inference(binary_proxy_clausification,[],[f391])). 3.79/0.89 tff(f394,plain,( 3.79/0.89 (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ catalunya)) @ (bCOMB @ vNOT @ (cCOMB @ (bCOMB @ (bCOMB @ vPI(reg)) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ c)))) @ (cCOMB @ c))) @ paris)) @ sK17 = $false)), 3.79/0.89 inference(sigma_clausification,[],[f393])). 3.79/0.89 tff(f395,plain,( 3.79/0.89 (vIMP @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK17)) @ (cCOMB @ c @ catalunya))) @ (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK17)) @ (cCOMB @ c @ paris)))) = $false)), 3.79/0.89 inference(combinator_demodulation,[],[f394])). 3.79/0.89 tff(f396,plain,( 3.79/0.89 (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK17)) @ (cCOMB @ c @ catalunya)) = $true)), 3.79/0.89 inference(binary_proxy_clausification,[],[f395])). 3.79/0.89 tff(f397,plain,( 3.79/0.89 (vNOT @ (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK17)) @ (cCOMB @ c @ paris))) = $false)), 3.79/0.89 inference(binary_proxy_clausification,[],[f395])). 3.79/0.89 tff(f398,plain,( 3.79/0.89 (vPI(reg) @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK17)) @ (cCOMB @ c @ paris)) = $true)), 3.79/0.89 inference(not_proxy_clausification,[],[f397])). 3.79/0.89 tff(f399,plain,( 3.79/0.89 ( ! [X1:reg] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK17)) @ (cCOMB @ c @ paris) @ X1 = $true)) )), 3.79/0.89 inference(pi_clausification,[],[f398])). 3.79/0.89 tff(f400,plain,( 3.79/0.89 ( ! [X1:reg] : ((vIMP @ (c @ X1 @ sK17) @ (c @ X1 @ paris) = $true)) )), 3.79/0.89 inference(combinator_demodulation,[],[f399])). 3.79/0.89 tff(f401,plain,( 3.79/0.89 ( ! [X1:reg] : ((c @ X1 @ sK17 = $false) | (c @ X1 @ paris = $true)) )), 3.79/0.89 inference(binary_proxy_clausification,[],[f400])). 3.79/0.89 tff(f402,plain,( 3.79/0.89 ( ! [X1:reg] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ c @ sK17)) @ (cCOMB @ c @ catalunya) @ X1 = $true)) )), 3.79/0.89 inference(pi_clausification,[],[f396])). 3.79/0.89 tff(f403,plain,( 3.79/0.89 ( ! [X1:reg] : ((vIMP @ (c @ X1 @ sK17) @ (c @ X1 @ catalunya) = $true)) )), 3.79/0.89 inference(combinator_demodulation,[],[f402])). 3.79/0.89 tff(f404,plain,( 3.79/0.89 ( ! [X1:reg] : ((c @ X1 @ sK17 = $false) | (c @ X1 @ catalunya = $true)) )), 3.79/0.89 inference(binary_proxy_clausification,[],[f403])). 3.79/0.89 tff(f405,plain,( 3.79/0.89 (a @ sK15 @ sK16 = $true)), 3.79/0.89 inference(not_proxy_clausification,[],[f392])). 3.79/0.89 tff(f407,plain,( 3.79/0.89 spl0_0 <=> ! [X3 : reg] : ((c @ X3 @ paris = $false) | (c @ X3 @ france = $true))), 3.79/0.89 introduced(avatar_definition,[new_symbols(naming,[spl0_0])])). 3.79/0.89 tff(f408,plain,( 3.79/0.89 ( ! [X3:reg] : ((c @ X3 @ paris = $false) | (c @ X3 @ france = $true)) ) | ~spl0_0), 3.79/0.89 inference(avatar_component_clause,[],[f407])). 3.79/0.89 tff(f410,plain,( 3.79/0.89 spl0_2 <=> ! [X1,X2] : (a @ X1 @ X2 = $false)), 3.79/0.89 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 3.79/0.89 tff(f411,plain,( 3.79/0.89 ( ! [X2,X1] : ((a @ X1 @ X2 = $false)) ) | ~spl0_2), 3.79/0.89 inference(avatar_component_clause,[],[f410])). 3.79/0.89 tff(f412,plain,( 3.79/0.89 spl0_0 | spl0_2), 3.79/0.89 inference(avatar_split_clause,[],[f387,f410,f407])). 3.79/0.89 tff(f444,plain,( 3.79/0.89 spl0_16 <=> ! [X3 : reg] : ((c @ X3 @ catalunya = $false) | (c @ X3 @ spain = $true))), 3.79/0.89 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])). 3.79/0.89 tff(f445,plain,( 3.79/0.89 ( ! [X3:reg] : ((c @ X3 @ spain = $true) | (c @ X3 @ catalunya = $false)) ) | ~spl0_16), 3.79/0.89 inference(avatar_component_clause,[],[f444])). 3.79/0.89 tff(f446,plain,( 3.79/0.89 spl0_16 | spl0_2), 3.79/0.89 inference(avatar_split_clause,[],[f334,f410,f444])). 3.79/0.89 tff(f514,plain,( 3.79/0.89 spl0_44 <=> ! [X1,X2] : (fool @ X1 @ X2 = $false)), 3.79/0.89 introduced(avatar_definition,[new_symbols(naming,[spl0_44])])). 3.79/0.89 tff(f515,plain,( 3.79/0.89 ( ! [X2,X1] : ((fool @ X1 @ X2 = $false)) ) | ~spl0_44), 3.79/0.89 inference(avatar_component_clause,[],[f514])). 3.79/0.89 tff(f518,plain,( 3.79/0.89 spl0_46 <=> ! [X3 : reg] : ((c @ (sK5 @ X3) @ X3 = $true) | (c @ (sK4 @ X3) @ X3 = $true))), 3.79/0.89 introduced(avatar_definition,[new_symbols(naming,[spl0_46])])). 3.79/0.89 tff(f519,plain,( 3.79/0.89 ( ! [X3:reg] : ((c @ (sK5 @ X3) @ X3 = $true) | (c @ (sK4 @ X3) @ X3 = $true)) ) | ~spl0_46), 3.79/0.89 inference(avatar_component_clause,[],[f518])). 3.79/0.89 tff(f520,plain,( 3.79/0.89 spl0_46 | spl0_44), 3.79/0.89 inference(avatar_split_clause,[],[f281,f514,f518])). 3.79/0.89 tff(f522,plain,( 3.79/0.89 spl0_48 <=> ! [X3 : reg] : ((c @ (sK5 @ X3) @ X3 = $true) | (c @ (sK4 @ X3) @ france = $false))), 3.79/0.89 introduced(avatar_definition,[new_symbols(naming,[spl0_48])])). 3.79/0.89 tff(f523,plain,( 3.79/0.89 ( ! [X3:reg] : ((c @ (sK5 @ X3) @ X3 = $true) | (c @ (sK4 @ X3) @ france = $false)) ) | ~spl0_48), 3.79/0.89 inference(avatar_component_clause,[],[f522])). 3.79/0.89 tff(f524,plain,( 3.79/0.89 spl0_48 | spl0_44), 3.79/0.89 inference(avatar_split_clause,[],[f282,f514,f522])). 3.79/0.89 tff(f526,plain,( 3.79/0.89 spl0_50 <=> ! [X3 : reg] : ((c @ (sK5 @ X3) @ spain = $false) | (c @ (sK4 @ X3) @ X3 = $true))), 3.79/0.89 introduced(avatar_definition,[new_symbols(naming,[spl0_50])])). 3.79/0.89 tff(f527,plain,( 3.79/0.89 ( ! [X3:reg] : ((c @ (sK5 @ X3) @ spain = $false) | (c @ (sK4 @ X3) @ X3 = $true)) ) | ~spl0_50), 3.79/0.89 inference(avatar_component_clause,[],[f526])). 3.79/0.89 tff(f528,plain,( 3.79/0.89 spl0_50 | spl0_44), 3.79/0.89 inference(avatar_split_clause,[],[f279,f514,f526])). 3.79/0.89 tff(f530,plain,( 3.79/0.89 spl0_52 <=> ! 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[X2:'$i' -> '$o',X1] : (($false = $true) | (X2 @ X1 = $true)) ) | ~spl0_44), 3.79/0.89 inference(forward_demodulation,[],[f261,f515])). 3.79/0.89 tff(f719,plain,( 3.79/0.89 ( ! [X2:'$i' -> '$o',X1] : ((X2 @ X1 = $true)) ) | ~spl0_44), 3.79/0.89 inference(trivial_inequality_removal,[],[f718])). 3.79/0.89 tff(f721,plain,( 3.79/0.89 ( ! [X0] : ((kCOMB @ $false @ X0 = $true)) ) | ~spl0_44), 3.79/0.89 inference(primitive_instantiation,[],[f719])). 3.79/0.89 tff(f740,plain,( 3.79/0.89 ($false = $true) | ~spl0_44), 3.79/0.89 inference(combinator_demodulation,[],[f721])). 3.79/0.89 tff(f741,plain,( 3.79/0.89 $false | ~spl0_44), 3.79/0.89 inference(trivial_inequality_removal,[],[f740])). 3.79/0.89 tff(f742,plain,( 3.79/0.89 ~spl0_44), 3.79/0.89 inference(avatar_contradiction_clause,[],[f741])). 3.79/0.89 tff(f870,plain,( 3.79/0.89 ($false = $true) | (c @ (sK5 @ sK17) @ catalunya = $true) | (c @ (sK4 @ sK17) @ sK17 = $true) | ~spl0_46), 3.79/0.89 inference(superposition,[],[f404,f519])). 3.79/0.89 tff(f873,plain,( 3.79/0.89 (c @ (sK5 @ sK17) @ catalunya = $true) | (c @ (sK4 @ sK17) @ sK17 = $true) | ~spl0_46), 3.79/0.89 inference(trivial_inequality_removal,[],[f870])). 3.79/0.89 tff(f895,plain,( 3.79/0.89 spl0_62 <=> (c @ (sK5 @ sK17) @ catalunya = $true)), 3.79/0.89 introduced(avatar_definition,[new_symbols(naming,[spl0_62])])). 3.79/0.89 tff(f896,plain,( 3.79/0.89 (c @ (sK5 @ sK17) @ catalunya = $true) | ~spl0_62), 3.79/0.89 inference(avatar_component_clause,[],[f895])). 3.79/0.89 tff(f898,plain,( 3.79/0.89 spl0_65 <=> (c @ (sK4 @ sK17) @ sK17 != $true)), 3.79/0.89 introduced(avatar_definition,[new_symbols(naming,[spl0_65])])). 3.79/0.89 tff(f899,plain,( 3.79/0.89 (c @ (sK4 @ sK17) @ sK17 != $true) | ~spl0_65), 3.79/0.89 inference(avatar_component_clause,[],[f898])). 3.79/0.89 tff(f901,plain,( 3.79/0.89 spl0_64 <=> (c @ (sK4 @ sK17) @ sK17 = $true)), 3.79/0.89 introduced(avatar_definition,[new_symbols(naming,[spl0_64])])). 3.79/0.89 tff(f902,plain,( 3.79/0.89 (c @ (sK4 @ sK17) @ sK17 = $true) | ~spl0_64), 3.79/0.89 inference(avatar_component_clause,[],[f901])). 3.79/0.89 tff(f912,plain,( 3.79/0.89 spl0_64 | spl0_62 | ~spl0_46), 3.79/0.89 inference(avatar_split_clause,[],[f873,f518,f895,f901])). 3.79/0.89 tff(f918,plain,( 3.79/0.89 ($false = $true) | (c @ (sK4 @ sK17) @ paris = $true) | ~spl0_64), 3.79/0.89 inference(superposition,[],[f401,f902])). 3.79/0.89 tff(f919,plain,( 3.79/0.89 (c @ (sK4 @ sK17) @ paris = $true) | ~spl0_64), 3.79/0.89 inference(trivial_inequality_removal,[],[f918])). 3.79/0.89 tff(f952,plain,( 3.79/0.89 ($false = $true) | (c @ (sK4 @ sK17) @ france = $true) | (~spl0_0 | ~spl0_64)), 3.79/0.89 inference(superposition,[],[f408,f919])). 3.79/0.89 tff(f953,plain,( 3.79/0.89 (c @ (sK4 @ sK17) @ france = $true) | (~spl0_0 | ~spl0_64)), 3.79/0.89 inference(trivial_inequality_removal,[],[f952])). 3.79/0.89 tff(f968,plain,( 3.79/0.89 ($false = $true) | (c @ (sK5 @ sK17) @ catalunya = $true) | (c @ (sK4 @ sK17) @ france = $false) | ~spl0_48), 3.79/0.89 inference(superposition,[],[f404,f523])). 3.79/0.89 tff(f971,plain,( 3.79/0.89 (c @ (sK5 @ sK17) @ catalunya = $true) | (c @ (sK4 @ sK17) @ france = $false) | ~spl0_48), 3.79/0.89 inference(trivial_inequality_removal,[],[f968])). 3.79/0.89 tff(f982,plain,( 3.79/0.89 ($false = $true) | (c @ (sK5 @ sK17) @ catalunya = $true) | (~spl0_0 | ~spl0_48 | ~spl0_64)), 3.79/0.89 inference(forward_demodulation,[],[f971,f953])). 3.79/0.89 tff(f983,plain,( 3.79/0.89 (c @ (sK5 @ sK17) @ catalunya = $true) | (~spl0_0 | ~spl0_48 | ~spl0_64)), 3.79/0.89 inference(trivial_inequality_removal,[],[f982])). 3.79/0.89 tff(f984,plain,( 3.79/0.89 spl0_62 | ~spl0_0 | ~spl0_48 | ~spl0_64), 3.79/0.89 inference(avatar_split_clause,[],[f983,f901,f522,f407,f895])). 3.79/0.89 tff(f1022,plain,( 3.79/0.89 ( ! [X1:reg] : (($false = $true) | (c @ spain @ (sK5 @ X1) != $true) | (c @ (sK4 @ X1) @ X1 = $true)) ) | ~spl0_50), 3.79/0.89 inference(superposition,[],[f189,f527])). 3.79/0.89 tff(f1023,plain,( 3.79/0.89 ( ! [X1:reg] : ((c @ (sK4 @ X1) @ X1 = $true) | (c @ spain @ (sK5 @ X1) != $true)) ) | ~spl0_50), 3.79/0.89 inference(trivial_inequality_removal,[],[f1022])). 3.79/0.89 tff(f1059,plain,( 3.79/0.89 ( ! [X2:reg] : (($false = $true) | (c @ spain @ (sK5 @ X2) != $true) | (c @ (sK4 @ X2) @ france = $false)) ) | ~spl0_52), 3.79/0.89 inference(superposition,[],[f189,f531])). 3.79/0.89 tff(f1060,plain,( 3.79/0.89 ( ! [X2:reg] : ((c @ (sK4 @ X2) @ france = $false) | (c @ spain @ (sK5 @ X2) != $true)) ) | ~spl0_52), 3.79/0.89 inference(trivial_inequality_removal,[],[f1059])). 3.79/0.89 tff(f1344,plain,( 3.79/0.89 ($false = $true) | (c @ spain @ (sK5 @ sK17) != $true) | (~spl0_0 | ~spl0_52 | ~spl0_64)), 3.79/0.89 inference(superposition,[],[f953,f1060])). 3.79/0.89 tff(f1354,plain,( 3.79/0.89 (c @ spain @ (sK5 @ sK17) != $true) | (~spl0_0 | ~spl0_52 | ~spl0_64)), 3.79/0.89 inference(trivial_inequality_removal,[],[f1344])). 3.79/0.89 tff(f1364,plain,( 3.79/0.89 ($true != $true) | (c @ (sK5 @ sK17) @ spain != $true) | (~spl0_0 | ~spl0_52 | ~spl0_64)), 3.79/0.89 inference(superposition,[],[f1354,f189])). 3.79/0.89 tff(f1365,plain,( 3.79/0.89 (c @ (sK5 @ sK17) @ spain != $true) | (~spl0_0 | ~spl0_52 | ~spl0_64)), 3.79/0.89 inference(trivial_inequality_removal,[],[f1364])). 3.79/0.89 tff(f1372,plain,( 3.79/0.89 ($true != $true) | (c @ (sK5 @ sK17) @ catalunya = $false) | (~spl0_0 | ~spl0_16 | ~spl0_52 | ~spl0_64)), 3.79/0.89 inference(superposition,[],[f1365,f445])). 3.79/0.89 tff(f1375,plain,( 3.79/0.89 (c @ (sK5 @ sK17) @ catalunya = $false) | (~spl0_0 | ~spl0_16 | ~spl0_52 | ~spl0_64)), 3.79/0.89 inference(trivial_inequality_removal,[],[f1372])). 3.79/0.89 tff(f1468,plain,( 3.79/0.89 ($false = $true) | (~spl0_0 | ~spl0_16 | ~spl0_52 | ~spl0_62 | ~spl0_64)), 3.79/0.89 inference(backward_demodulation,[],[f1375,f896])). 3.79/0.89 tff(f1479,plain,( 3.79/0.89 $false | (~spl0_0 | ~spl0_16 | ~spl0_52 | ~spl0_62 | ~spl0_64)), 3.79/0.89 inference(trivial_inequality_removal,[],[f1468])). 3.79/0.89 tff(f1480,plain,( 3.79/0.89 ~spl0_0 | ~spl0_16 | ~spl0_52 | ~spl0_62 | ~spl0_64), 3.79/0.89 inference(avatar_contradiction_clause,[],[f1479])). 3.79/0.89 tff(f1485,plain,( 3.79/0.89 spl0_77 <=> (c @ spain @ (sK5 @ sK17) != $true)), 3.79/0.89 introduced(avatar_definition,[new_symbols(naming,[spl0_77])])). 3.79/0.89 tff(f1486,plain,( 3.79/0.89 (c @ spain @ (sK5 @ sK17) != $true) | ~spl0_77), 3.79/0.89 inference(avatar_component_clause,[],[f1485])). 3.79/0.89 tff(f1666,plain,( 3.79/0.89 ($true != $true) | (c @ spain @ (sK5 @ sK17) != $true) | (~spl0_50 | ~spl0_65)), 3.79/0.89 inference(superposition,[],[f899,f1023])). 3.79/0.89 tff(f1671,plain,( 3.79/0.89 (c @ spain @ (sK5 @ sK17) != $true) | (~spl0_50 | ~spl0_65)), 3.79/0.89 inference(trivial_inequality_removal,[],[f1666])). 3.79/0.89 tff(f1674,plain,( 3.79/0.89 ~spl0_77 | ~spl0_50 | spl0_65), 3.79/0.89 inference(avatar_split_clause,[],[f1671,f898,f526,f1485])). 3.79/0.89 tff(f1677,plain,( 3.79/0.89 ($true != $true) | (c @ (sK5 @ sK17) @ spain != $true) | ~spl0_77), 3.79/0.89 inference(superposition,[],[f1486,f189])). 3.79/0.89 tff(f1678,plain,( 3.79/0.89 (c @ (sK5 @ sK17) @ spain != $true) | ~spl0_77), 3.79/0.89 inference(trivial_inequality_removal,[],[f1677])). 3.79/0.89 tff(f1702,plain,( 3.79/0.89 ($true != $true) | (c @ (sK5 @ sK17) @ catalunya = $false) | (~spl0_16 | ~spl0_77)), 3.79/0.89 inference(superposition,[],[f1678,f445])). 3.79/0.89 tff(f1705,plain,( 3.79/0.89 (c @ (sK5 @ sK17) @ catalunya = $false) | (~spl0_16 | ~spl0_77)), 3.79/0.89 inference(trivial_inequality_removal,[],[f1702])). 3.79/0.89 tff(f1784,plain,( 3.79/0.89 ($false = $true) | (~spl0_16 | ~spl0_62 | ~spl0_77)), 3.79/0.89 inference(backward_demodulation,[],[f1705,f896])). 3.79/0.89 tff(f1795,plain,( 3.79/0.89 $false | (~spl0_16 | ~spl0_62 | ~spl0_77)), 3.79/0.89 inference(trivial_inequality_removal,[],[f1784])). 3.79/0.89 tff(f1796,plain,( 3.79/0.89 ~spl0_16 | ~spl0_62 | spl0_77), 3.79/0.89 inference(avatar_contradiction_clause,[],[f1795])). 3.79/0.89 tff(f1797,plain,( 3.79/0.89 $false), 3.79/0.89 inference(avatar_sat_refutation,[],[f412,f446,f520,f524,f528,f532,f558,f742,f912,f984,f1480,f1674,f1796])). 3.79/0.89 % SZS output end Proof for theBenchmark 3.79/0.89 % (13754)------------------------------ 3.79/0.89 % (13754)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 3.79/0.89 % (13754)Termination reason: Refutation 3.79/0.89 3.79/0.89 % (13754)Memory used [KB]: 7675 3.79/0.89 % (13754)Time elapsed: 0.453 s 3.79/0.89 % (13754)------------------------------ 3.79/0.89 % (13754)------------------------------ 3.79/0.89 % (13741)Success in time 0.529 s 3.79/0.89 EOF