0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : run_vampire %s %d 0.10/0.30 % Computer : n009.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 960 0.10/0.30 % WCLimit : 120 0.10/0.30 % DateTime : Thu Jul 2 07:55:36 EDT 2020 0.10/0.30 % CPUTime : 0.16/0.33 % (5963)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 0.16/0.33 % (5962)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 0.16/0.34 % (5965)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 0.16/0.34 % (5964)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 0.16/0.34 % (5966)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 0.16/0.35 % (5984)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 0.16/0.35 % (5988)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 0.16/0.35 % (5977)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 0.16/0.35 % (5987)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 0.16/0.35 % (5978)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 0.16/0.35 % (5967)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 0.16/0.35 % (5976)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 0.16/0.36 % (5973)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 0.16/0.36 % (5983)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 0.16/0.36 % (5961)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 0.16/0.36 % (5979)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 0.16/0.36 % (5980)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 0.16/0.36 % (5968)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 0.16/0.36 % (5975)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 0.16/0.37 % (5974)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 0.16/0.37 % (5985)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 0.16/0.37 % (5970)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 0.16/0.37 % (5989)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 0.16/0.37 % (5969)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 0.16/0.37 % (5986)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 0.16/0.38 % (5981)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 0.16/0.39 % (5990)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 0.16/0.40 % (5972)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 0.16/0.40 % (5971)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 0.16/0.41 % (5982)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 2.56/0.68 % (5965)Refutation found. Thanks to Tanya! 2.56/0.68 % SZS status Theorem for theBenchmark 2.56/0.68 % SZS output start Proof for theBenchmark 2.56/0.68 tff(func_def_0, type, num: '$tType'). 2.56/0.68 tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType'). 2.56/0.68 tff(func_def_5, type, holdsDuring_THFTYPE_IiooI: '$i' -> '$o' -> '$o'). 2.56/0.68 tff(func_def_12, type, lYearFn_THFTYPE_IiiI: '$i' -> '$i'). 2.56/0.68 tff(func_def_13, type, likes_THFTYPE_IiioI: '$i' -> '$i' -> '$o'). 2.56/0.68 tff(func_def_15, type, parent_THFTYPE_IiioI: '$i' -> '$i' -> '$o'). 2.56/0.68 tff(func_def_16, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 2.56/0.68 tff(func_def_17, type, vNOT: '$o' -> '$o'). 2.56/0.68 tff(func_def_18, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 2.56/0.68 tff(func_def_19, type, vAND: '$o' -> '$o' -> '$o'). 2.56/0.68 tff(func_def_22, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 2.56/0.68 tff(func_def_23, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o'). 2.56/0.68 tff(func_def_24, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o'). 2.56/0.68 tff(func_def_25, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 2.56/0.68 tff(func_def_26, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 2.56/0.68 tff(func_def_28, type, vOR: '$o' -> '$o' -> '$o'). 2.56/0.68 tff(func_def_29, type, vIMP: '$o' -> '$o' -> '$o'). 2.56/0.68 tff(func_def_30, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 2.56/0.68 tff(func_def_31, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 2.56/0.68 tff(f4,axiom,( 2.56/0.68 holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)), 2.56/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003)). 2.56/0.68 tff(f6,axiom,( 2.56/0.68 holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ? [X0,X1] : vNOT @ (likes_THFTYPE_IiioI @ X0 @ X1)), 2.56/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005)). 2.56/0.68 tff(f7,conjecture,( 2.56/0.68 ? [X2 : '$i' -> '$i' -> '$o',X3 : '$i' -> '$i' -> '$o',X1] : holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ X3 @ X1 @ lBill_THFTYPE_i & X2 @ X1 @ lAnna_THFTYPE_i & vNOT @ X3 = (^[X4 : '$i', X5 : '$i'] : $true) & vNOT @ X2 = (^[X4 : '$i', X5 : '$i'] : $true)), 2.56/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)). 2.56/0.68 tff(f8,negated_conjecture,( 2.56/0.68 ~? [X2 : '$i' -> '$i' -> '$o',X3 : '$i' -> '$i' -> '$o',X1] : holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ X3 @ X1 @ lBill_THFTYPE_i & X2 @ X1 @ lAnna_THFTYPE_i & vNOT @ X3 = (^[X4 : '$i', X5 : '$i'] : $true) & vNOT @ X2 = (^[X4 : '$i', X5 : '$i'] : $true)), 2.56/0.68 inference(negated_conjecture,[],[f7])). 2.56/0.68 tff(f10,axiom,( 2.56/0.68 holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)), 2.56/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_007)). 2.56/0.68 tff(f11,axiom,( 2.56/0.68 holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ? [X0,X1] : vNOT @ (parent_THFTYPE_IiioI @ X0 @ X1)), 2.56/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001)). 2.56/0.68 tff(f12,plain,( 2.56/0.68 ~? [X0 : '$i' -> '$i' -> '$o',X1 : '$i' -> '$i' -> '$o',X2] : holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ X1 @ X2 @ lBill_THFTYPE_i & X0 @ X2 @ lAnna_THFTYPE_i & vNOT @ X1 = (^[X3 : '$i', X4 : '$i'] : $true) & vNOT @ X0 = (^[X5 : '$i', X6 : '$i'] : $true)), 2.56/0.68 inference(rectify,[],[f8])). 2.56/0.68 tff(f13,plain,( 2.56/0.68 ~? [X0 : '$i' -> '$i' -> '$o',X1 : '$i' -> '$i' -> '$o',X2] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X0 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X1 @ (kCOMB @ (kCOMB @ $true))))) @ (X0 @ X2 @ lAnna_THFTYPE_i)) @ (X1 @ X2 @ lBill_THFTYPE_i)) = $true)), 2.56/0.68 inference(fool_elimination,[],[f12])). 2.56/0.68 tff(f18,plain,( 2.56/0.68 holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)), 2.56/0.68 inference(rectify,[],[f4])). 2.56/0.68 tff(f19,plain,( 2.56/0.68 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) = $true)), 2.56/0.68 inference(fool_elimination,[],[f18])). 2.56/0.68 tff(f26,plain,( 2.56/0.68 holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)), 2.56/0.68 inference(rectify,[],[f10])). 2.56/0.68 tff(f27,plain,( 2.56/0.68 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i) = $true)), 2.56/0.68 inference(fool_elimination,[],[f26])). 2.56/0.68 tff(f28,plain,( 2.56/0.68 holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ? [X0,X1] : vNOT @ (likes_THFTYPE_IiioI @ X0 @ X1)), 2.56/0.68 inference(rectify,[],[f6])). 2.56/0.68 tff(f29,plain,( 2.56/0.68 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (vSIGMA('$i') @ (bCOMB @ vSIGMA('$i') @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ likes_THFTYPE_IiioI)))) = $true)), 2.56/0.68 inference(fool_elimination,[],[f28])). 2.56/0.68 tff(f30,plain,( 2.56/0.68 holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ? [X0,X1] : vNOT @ (parent_THFTYPE_IiioI @ X0 @ X1)), 2.56/0.68 inference(rectify,[],[f11])). 2.56/0.68 tff(f31,plain,( 2.56/0.68 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (vSIGMA('$i') @ (bCOMB @ vSIGMA('$i') @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ parent_THFTYPE_IiioI)))) = $true)), 2.56/0.68 inference(fool_elimination,[],[f30])). 2.56/0.68 tff(f32,plain,( 2.56/0.68 ! [X0 : '$i' -> '$i' -> '$o',X1 : '$i' -> '$i' -> '$o',X2] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X0 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X1 @ (kCOMB @ (kCOMB @ $true))))) @ (X0 @ X2 @ lAnna_THFTYPE_i)) @ (X1 @ X2 @ lBill_THFTYPE_i)) != $true)), 2.56/0.68 inference(ennf_transformation,[],[f13])). 2.56/0.68 tff(f33,plain,( 2.56/0.68 ( ! [X2,X0:'$i' -> '$i' -> '$o',X1:'$i' -> '$i' -> '$o'] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X0 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X1 @ (kCOMB @ (kCOMB @ $true))))) @ (X0 @ X2 @ lAnna_THFTYPE_i)) @ (X1 @ X2 @ lBill_THFTYPE_i)) != $true)) )), 2.56/0.68 inference(cnf_transformation,[],[f32])). 2.56/0.68 tff(f36,plain,( 2.56/0.68 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) = $true)), 2.56/0.68 inference(cnf_transformation,[],[f19])). 2.56/0.68 tff(f40,plain,( 2.56/0.68 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i) = $true)), 2.56/0.68 inference(cnf_transformation,[],[f27])). 2.56/0.68 tff(f41,plain,( 2.56/0.68 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (vSIGMA('$i') @ (bCOMB @ vSIGMA('$i') @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ likes_THFTYPE_IiioI)))) = $true)), 2.56/0.68 inference(cnf_transformation,[],[f29])). 2.56/0.68 tff(f42,plain,( 2.56/0.68 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (vSIGMA('$i') @ (bCOMB @ vSIGMA('$i') @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ parent_THFTYPE_IiioI)))) = $true)), 2.56/0.68 inference(cnf_transformation,[],[f31])). 2.56/0.68 tff(f52,plain,( 2.56/0.68 ( ! [X2,X0:'$i' -> '$i' -> '$o',X1:'$i' -> '$i' -> '$o'] : (($true != $true) | (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X0 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X1 @ (kCOMB @ (kCOMB @ $true))))) @ (X0 @ X2 @ lAnna_THFTYPE_i)) @ (X1 @ X2 @ lBill_THFTYPE_i)) = $false)) )), 2.56/0.68 inference(fool_paramodulation,[],[f33])). 2.56/0.68 tff(f65,plain,( 2.56/0.68 ( ! [X6:'$i' -> '$i' -> '$o',X8,X7:'$i' -> '$i' -> '$o'] : (($true != $true) | (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i != vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X6 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X7 @ (kCOMB @ (kCOMB @ $true))))) @ (X6 @ X8 @ lAnna_THFTYPE_i)) @ (X7 @ X8 @ lBill_THFTYPE_i))) )), 2.56/0.68 inference(superposition,[],[f33,f36])). 2.56/0.68 tff(f69,plain,( 2.56/0.68 ( ! [X19:'$i' -> '$i' -> '$o',X20,X18:'$i' -> '$i' -> '$o'] : (($true != $true) | (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i != vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X18 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X19 @ (kCOMB @ (kCOMB @ $true))))) @ (X18 @ X20 @ lAnna_THFTYPE_i)) @ (X19 @ X20 @ lBill_THFTYPE_i))) )), 2.56/0.68 inference(superposition,[],[f33,f40])). 2.56/0.68 tff(f132,plain,( 2.56/0.68 ( ! [X19:'$i' -> '$i' -> '$o',X20,X18:'$i' -> '$i' -> '$o'] : ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i != vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X18 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X19 @ (kCOMB @ (kCOMB @ $true))))) @ (X18 @ X20 @ lAnna_THFTYPE_i)) @ (X19 @ X20 @ lBill_THFTYPE_i))) )), 2.56/0.68 inference(trivial_inequality_removal,[],[f69])). 2.56/0.68 tff(f133,plain,( 2.56/0.68 ( ! [X19:'$i' -> '$i' -> '$o',X20,X18:'$i' -> '$i' -> '$o'] : ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i = $true) | (vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X18 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X19 @ (kCOMB @ (kCOMB @ $true))))) @ (X18 @ X20 @ lAnna_THFTYPE_i)) @ (X19 @ X20 @ lBill_THFTYPE_i) = $true)) )), 2.56/0.68 inference(binary_proxy_clausification,[],[f132])). 2.56/0.68 tff(f134,plain,( 2.56/0.68 ( ! [X19:'$i' -> '$i' -> '$o',X20,X18:'$i' -> '$i' -> '$o'] : ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i = $false) | (vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X18 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X19 @ (kCOMB @ (kCOMB @ $true))))) @ (X18 @ X20 @ lAnna_THFTYPE_i)) @ (X19 @ X20 @ lBill_THFTYPE_i) = $false)) )), 2.56/0.68 inference(binary_proxy_clausification,[],[f132])). 2.56/0.68 tff(f135,plain,( 2.56/0.68 ( ! [X19:'$i' -> '$i' -> '$o',X20,X18:'$i' -> '$i' -> '$o'] : ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i = $false) | (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X18 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X19 @ (kCOMB @ (kCOMB @ $true))))) @ (X18 @ X20 @ lAnna_THFTYPE_i) = $false) | (X19 @ X20 @ lBill_THFTYPE_i = $false)) )), 2.56/0.68 inference(binary_proxy_clausification,[],[f134])). 2.56/0.68 tff(f136,plain,( 2.56/0.68 ( ! [X19:'$i' -> '$i' -> '$o',X20,X18:'$i' -> '$i' -> '$o'] : ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i = $false) | (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X18 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X19 @ (kCOMB @ (kCOMB @ $true)))) = $false) | (X19 @ X20 @ lBill_THFTYPE_i = $false) | (X18 @ X20 @ lAnna_THFTYPE_i = $false)) )), 2.56/0.68 inference(binary_proxy_clausification,[],[f135])). 2.56/0.68 tff(f137,plain,( 2.56/0.68 ( ! [X19:'$i' -> '$i' -> '$o',X20,X18:'$i' -> '$i' -> '$o'] : ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i = $false) | (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X18 @ (kCOMB @ (kCOMB @ $true))) = $false) | (X19 @ X20 @ lBill_THFTYPE_i = $false) | (X18 @ X20 @ lAnna_THFTYPE_i = $false) | (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X19 @ (kCOMB @ (kCOMB @ $true))) = $false)) )), 2.56/0.68 inference(binary_proxy_clausification,[],[f136])). 2.56/0.68 tff(f138,plain,( 2.56/0.68 ( ! [X19:'$i' -> '$i' -> '$o',X20,X18:'$i' -> '$i' -> '$o'] : ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i = $false) | (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X18 @ (kCOMB @ (kCOMB @ $true))) = $false) | (X19 @ X20 @ lBill_THFTYPE_i = $false) | (X18 @ X20 @ lAnna_THFTYPE_i = $false) | (vEQ('$i' -> '$i' -> '$o') @ X19 @ (kCOMB @ (kCOMB @ $true)) = $true)) )), 2.56/0.68 inference(not_proxy_clausification,[],[f137])). 2.56/0.68 tff(f139,plain,( 2.56/0.68 ( ! [X19:'$i' -> '$i' -> '$o',X20,X18:'$i' -> '$i' -> '$o'] : ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i = $false) | (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X18 @ (kCOMB @ (kCOMB @ $true))) = $false) | (X19 @ X20 @ lBill_THFTYPE_i = $false) | (X18 @ X20 @ lAnna_THFTYPE_i = $false) | kCOMB @ (kCOMB @ $true) = X19) )), 2.56/0.68 inference(equality_proxy_clausification,[],[f138])). 2.56/0.68 tff(f140,plain,( 2.56/0.68 ( ! [X19:'$i' -> '$i' -> '$o',X20,X18:'$i' -> '$i' -> '$o'] : ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i = $false) | (vEQ('$i' -> '$i' -> '$o') @ X18 @ (kCOMB @ (kCOMB @ $true)) = $true) | (X19 @ X20 @ lBill_THFTYPE_i = $false) | (X18 @ X20 @ lAnna_THFTYPE_i = $false) | kCOMB @ (kCOMB @ $true) = X19) )), 2.56/0.68 inference(not_proxy_clausification,[],[f139])). 2.56/0.68 tff(f141,plain,( 2.56/0.68 ( ! [X19:'$i' -> '$i' -> '$o',X20,X18:'$i' -> '$i' -> '$o'] : ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i = $false) | kCOMB @ (kCOMB @ $true) = X18 | (X19 @ X20 @ lBill_THFTYPE_i = $false) | (X18 @ X20 @ lAnna_THFTYPE_i = $false) | kCOMB @ (kCOMB @ $true) = X19) )), 2.56/0.68 inference(equality_proxy_clausification,[],[f140])). 2.56/0.68 tff(f143,plain,( 2.56/0.68 ( ! [X19:'$i' -> '$i' -> '$o',X20] : ((parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i = $true) | (X19 @ X20 @ lBill_THFTYPE_i = $true)) )), 2.56/0.68 inference(binary_proxy_clausification,[],[f133])). 2.56/0.68 tff(f212,plain,( 2.56/0.68 ( ! [X6:'$i' -> '$i' -> '$o',X8,X7:'$i' -> '$i' -> '$o'] : ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i != vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X6 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X7 @ (kCOMB @ (kCOMB @ $true))))) @ (X6 @ X8 @ lAnna_THFTYPE_i)) @ (X7 @ X8 @ lBill_THFTYPE_i))) )), 2.56/0.68 inference(trivial_inequality_removal,[],[f65])). 2.56/0.68 tff(f213,plain,( 2.56/0.68 ( ! [X6:'$i' -> '$i' -> '$o',X8,X7:'$i' -> '$i' -> '$o'] : ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i = $true) | (vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X6 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X7 @ (kCOMB @ (kCOMB @ $true))))) @ (X6 @ X8 @ lAnna_THFTYPE_i)) @ (X7 @ X8 @ lBill_THFTYPE_i) = $true)) )), 2.56/0.68 inference(binary_proxy_clausification,[],[f212])). 2.56/0.68 tff(f223,plain,( 2.56/0.68 ( ! [X8,X7:'$i' -> '$i' -> '$o'] : ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i = $true) | (X7 @ X8 @ lBill_THFTYPE_i = $true)) )), 2.56/0.68 inference(binary_proxy_clausification,[],[f213])). 2.56/0.68 tff(f272,plain,( 2.56/0.68 ( ! [X2,X0:'$i' -> '$i' -> '$o',X1:'$i' -> '$i' -> '$o'] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X0 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X1 @ (kCOMB @ (kCOMB @ $true))))) @ (X0 @ X2 @ lAnna_THFTYPE_i)) @ (X1 @ X2 @ lBill_THFTYPE_i)) = $false)) )), 2.56/0.68 inference(trivial_inequality_removal,[],[f52])). 2.56/0.68 tff(f290,plain,( 2.56/0.68 spl0_6 <=> ! [X1 : '$i' -> '$i' -> '$o',X2] : (X1 @ X2 @ lBill_THFTYPE_i = $true)), 2.56/0.68 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])). 2.56/0.68 tff(f291,plain,( 2.56/0.68 ( ! [X2,X1:'$i' -> '$i' -> '$o'] : ((X1 @ X2 @ lBill_THFTYPE_i = $true)) ) | ~spl0_6), 2.56/0.68 inference(avatar_component_clause,[],[f290])). 2.56/0.68 tff(f294,plain,( 2.56/0.68 spl0_8 <=> ! [X1 : '$i' -> '$i' -> '$o',X0 : '$i' -> '$i' -> '$o',X2] : (kCOMB @ (kCOMB @ $true) = X0 | kCOMB @ (kCOMB @ $true) = X1 | (X0 @ X2 @ lAnna_THFTYPE_i = $false) | (X1 @ X2 @ lBill_THFTYPE_i = $false))), 2.56/0.68 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])). 2.56/0.68 tff(f295,plain,( 2.56/0.68 ( ! [X2,X0:'$i' -> '$i' -> '$o',X1:'$i' -> '$i' -> '$o'] : (kCOMB @ (kCOMB @ $true) = X1 | kCOMB @ (kCOMB @ $true) = X0 | (X0 @ X2 @ lAnna_THFTYPE_i = $false) | (X1 @ X2 @ lBill_THFTYPE_i = $false)) ) | ~spl0_8), 2.56/0.68 inference(avatar_component_clause,[],[f294])). 2.56/0.68 tff(f297,plain,( 2.56/0.68 spl0_11 <=> (likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i != $false)), 2.56/0.68 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])). 2.56/0.68 tff(f298,plain,( 2.56/0.68 (likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i != $false) | ~spl0_11), 2.56/0.68 inference(avatar_component_clause,[],[f297])). 2.56/0.68 tff(f300,plain,( 2.56/0.68 spl0_10 <=> (likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i = $false)), 2.56/0.68 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])). 2.56/0.68 tff(f301,plain,( 2.56/0.68 (likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i = $false) | ~spl0_10), 2.56/0.68 inference(avatar_component_clause,[],[f300])). 2.56/0.68 tff(f321,plain,( 2.56/0.68 spl0_17 <=> (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i != $true)), 2.56/0.68 introduced(avatar_definition,[new_symbols(naming,[spl0_17])])). 2.56/0.68 tff(f322,plain,( 2.56/0.68 (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i != $true) | ~spl0_17), 2.56/0.68 inference(avatar_component_clause,[],[f321])). 2.56/0.68 tff(f324,plain,( 2.56/0.68 spl0_16 <=> (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i = $true)), 2.56/0.68 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])). 2.56/0.68 tff(f325,plain,( 2.56/0.68 (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i = $true) | ~spl0_16), 2.56/0.68 inference(avatar_component_clause,[],[f324])). 2.56/0.68 tff(f329,plain,( 2.56/0.68 spl0_6 | spl0_16), 2.56/0.68 inference(avatar_split_clause,[],[f223,f324,f290])). 2.56/0.68 tff(f331,plain,( 2.56/0.68 spl0_19 <=> (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i != $false)), 2.56/0.68 introduced(avatar_definition,[new_symbols(naming,[spl0_19])])). 2.56/0.68 tff(f332,plain,( 2.56/0.68 (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i != $false) | ~spl0_19), 2.56/0.68 inference(avatar_component_clause,[],[f331])). 2.56/0.68 tff(f334,plain,( 2.56/0.68 spl0_18 <=> (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i = $false)), 2.56/0.68 introduced(avatar_definition,[new_symbols(naming,[spl0_18])])). 2.56/0.68 tff(f335,plain,( 2.56/0.68 (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i = $false) | ~spl0_18), 2.56/0.68 inference(avatar_component_clause,[],[f334])). 2.56/0.68 tff(f392,plain,( 2.56/0.68 spl0_32 <=> (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i = $true)), 2.56/0.68 introduced(avatar_definition,[new_symbols(naming,[spl0_32])])). 2.56/0.68 tff(f393,plain,( 2.56/0.68 (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i = $true) | ~spl0_32), 2.56/0.68 inference(avatar_component_clause,[],[f392])). 2.56/0.68 tff(f397,plain,( 2.56/0.68 spl0_6 | spl0_32), 2.56/0.68 inference(avatar_split_clause,[],[f143,f392,f290])). 2.56/0.68 tff(f399,plain,( 2.56/0.68 spl0_35 <=> (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i != $false)), 2.56/0.68 introduced(avatar_definition,[new_symbols(naming,[spl0_35])])). 2.56/0.68 tff(f400,plain,( 2.56/0.68 (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i != $false) | ~spl0_35), 2.56/0.68 inference(avatar_component_clause,[],[f399])). 2.56/0.68 tff(f402,plain,( 2.56/0.68 spl0_34 <=> (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i = $false)), 2.56/0.68 introduced(avatar_definition,[new_symbols(naming,[spl0_34])])). 2.56/0.68 tff(f403,plain,( 2.56/0.68 (parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i = $false) | ~spl0_34), 2.56/0.68 inference(avatar_component_clause,[],[f402])). 2.56/0.68 tff(f404,plain,( 2.56/0.68 spl0_8 | spl0_34), 2.56/0.68 inference(avatar_split_clause,[],[f141,f402,f294])). 2.56/0.68 tff(f474,plain,( 2.56/0.68 ( ! [X2:'$i' -> '$i' -> '$o'] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X2 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ likes_THFTYPE_IiioI @ (kCOMB @ (kCOMB @ $true))))) @ (X2 @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)) @ $true) = $false)) ) | ~spl0_16), 2.56/0.68 inference(superposition,[],[f272,f325])). 2.56/0.68 tff(f480,plain,( 2.56/0.68 ( ! [X2,X0:'$i' -> '$i' -> '$o',X1:'$i' -> '$i' -> '$o'] : (($false = $true) | (vSIGMA('$i') @ (bCOMB @ vSIGMA('$i') @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ likes_THFTYPE_IiioI))) != vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X0 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X1 @ (kCOMB @ (kCOMB @ $true))))) @ (X0 @ X2 @ lAnna_THFTYPE_i)) @ (X1 @ X2 @ lBill_THFTYPE_i))) )), 2.56/0.68 inference(superposition,[],[f41,f272])). 2.56/0.68 tff(f481,plain,( 2.56/0.68 ( ! [X4:'$i' -> '$i' -> '$o',X5,X3:'$i' -> '$i' -> '$o'] : (($false = $true) | (vSIGMA('$i') @ (bCOMB @ vSIGMA('$i') @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ parent_THFTYPE_IiioI))) != vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X3 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X4 @ (kCOMB @ (kCOMB @ $true))))) @ (X3 @ X5 @ lAnna_THFTYPE_i)) @ (X4 @ X5 @ lBill_THFTYPE_i))) )), 2.56/0.68 inference(superposition,[],[f42,f272])). 2.56/0.68 tff(f491,plain,( 2.56/0.68 ( ! [X4:'$i' -> '$i' -> '$o',X5,X3:'$i' -> '$i' -> '$o'] : ((vSIGMA('$i') @ (bCOMB @ vSIGMA('$i') @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ parent_THFTYPE_IiioI))) != vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X3 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X4 @ (kCOMB @ (kCOMB @ $true))))) @ (X3 @ X5 @ lAnna_THFTYPE_i)) @ (X4 @ X5 @ lBill_THFTYPE_i))) )), 2.56/0.68 inference(trivial_inequality_removal,[],[f481])). 2.56/0.68 tff(f492,plain,( 2.56/0.68 ( ! [X4:'$i' -> '$i' -> '$o',X5,X3:'$i' -> '$i' -> '$o'] : ((vSIGMA('$i') @ (bCOMB @ vSIGMA('$i') @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ parent_THFTYPE_IiioI))) = $true) | (vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X3 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X4 @ (kCOMB @ (kCOMB @ $true))))) @ (X3 @ X5 @ lAnna_THFTYPE_i)) @ (X4 @ X5 @ lBill_THFTYPE_i) = $true)) )), 2.56/0.68 inference(binary_proxy_clausification,[],[f491])). 2.56/0.69 tff(f506,plain,( 2.56/0.69 ( ! [X4:'$i' -> '$i' -> '$o',X5,X3:'$i' -> '$i' -> '$o'] : ((bCOMB @ vSIGMA('$i') @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ parent_THFTYPE_IiioI)) @ sK5 = $true) | (vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X3 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X4 @ (kCOMB @ (kCOMB @ $true))))) @ (X3 @ X5 @ lAnna_THFTYPE_i)) @ (X4 @ X5 @ lBill_THFTYPE_i) = $true)) )), 2.56/0.69 inference(sigma_clausification,[],[f492])). 2.56/0.69 tff(f507,plain,( 2.56/0.69 ( ! [X4:'$i' -> '$i' -> '$o',X5,X3:'$i' -> '$i' -> '$o'] : ((vSIGMA('$i') @ (bCOMB @ vNOT @ (cCOMB @ parent_THFTYPE_IiioI @ sK5)) = $true) | (vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X3 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X4 @ (kCOMB @ (kCOMB @ $true))))) @ (X3 @ X5 @ lAnna_THFTYPE_i)) @ (X4 @ X5 @ lBill_THFTYPE_i) = $true)) )), 2.56/0.69 inference(combinator_demodulation,[],[f506])). 2.56/0.69 tff(f508,plain,( 2.56/0.69 ( ! [X4:'$i' -> '$i' -> '$o',X5,X3:'$i' -> '$i' -> '$o'] : ((bCOMB @ vNOT @ (cCOMB @ parent_THFTYPE_IiioI @ sK5) @ sK6 = $true) | (vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X3 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X4 @ (kCOMB @ (kCOMB @ $true))))) @ (X3 @ X5 @ lAnna_THFTYPE_i)) @ (X4 @ X5 @ lBill_THFTYPE_i) = $true)) )), 2.56/0.69 inference(sigma_clausification,[],[f507])). 2.56/0.69 tff(f509,plain,( 2.56/0.69 ( ! [X4:'$i' -> '$i' -> '$o',X5,X3:'$i' -> '$i' -> '$o'] : ((vNOT @ (parent_THFTYPE_IiioI @ sK6 @ sK5) = $true) | (vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X3 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X4 @ (kCOMB @ (kCOMB @ $true))))) @ (X3 @ X5 @ lAnna_THFTYPE_i)) @ (X4 @ X5 @ lBill_THFTYPE_i) = $true)) )), 2.56/0.69 inference(combinator_demodulation,[],[f508])). 2.56/0.69 tff(f510,plain,( 2.56/0.69 ( ! [X4:'$i' -> '$i' -> '$o',X5,X3:'$i' -> '$i' -> '$o'] : ((parent_THFTYPE_IiioI @ sK6 @ sK5 = $false) | (vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X3 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X4 @ (kCOMB @ (kCOMB @ $true))))) @ (X3 @ X5 @ lAnna_THFTYPE_i)) @ (X4 @ X5 @ lBill_THFTYPE_i) = $true)) )), 2.56/0.69 inference(not_proxy_clausification,[],[f509])). 2.56/0.69 tff(f512,plain,( 2.56/0.69 ( ! [X4:'$i' -> '$i' -> '$o',X5] : ((parent_THFTYPE_IiioI @ sK6 @ sK5 = $false) | (X4 @ X5 @ lBill_THFTYPE_i = $true)) )), 2.56/0.69 inference(binary_proxy_clausification,[],[f510])). 2.56/0.69 tff(f521,plain,( 2.56/0.69 ( ! [X2,X0:'$i' -> '$i' -> '$o',X1:'$i' -> '$i' -> '$o'] : ((vSIGMA('$i') @ (bCOMB @ vSIGMA('$i') @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ likes_THFTYPE_IiioI))) != vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X0 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X1 @ (kCOMB @ (kCOMB @ $true))))) @ (X0 @ X2 @ lAnna_THFTYPE_i)) @ (X1 @ X2 @ lBill_THFTYPE_i))) )), 2.56/0.69 inference(trivial_inequality_removal,[],[f480])). 2.56/0.69 tff(f522,plain,( 2.56/0.69 ( ! [X2,X0:'$i' -> '$i' -> '$o',X1:'$i' -> '$i' -> '$o'] : ((vSIGMA('$i') @ (bCOMB @ vSIGMA('$i') @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ likes_THFTYPE_IiioI))) = $true) | (vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X0 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X1 @ (kCOMB @ (kCOMB @ $true))))) @ (X0 @ X2 @ lAnna_THFTYPE_i)) @ (X1 @ X2 @ lBill_THFTYPE_i) = $true)) )), 2.56/0.69 inference(binary_proxy_clausification,[],[f521])). 2.56/0.69 tff(f536,plain,( 2.56/0.69 ( ! [X2,X0:'$i' -> '$i' -> '$o',X1:'$i' -> '$i' -> '$o'] : ((bCOMB @ vSIGMA('$i') @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ likes_THFTYPE_IiioI)) @ sK7 = $true) | (vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X0 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X1 @ (kCOMB @ (kCOMB @ $true))))) @ (X0 @ X2 @ lAnna_THFTYPE_i)) @ (X1 @ X2 @ lBill_THFTYPE_i) = $true)) )), 2.56/0.69 inference(sigma_clausification,[],[f522])). 2.56/0.69 tff(f537,plain,( 2.56/0.69 ( ! [X2,X0:'$i' -> '$i' -> '$o',X1:'$i' -> '$i' -> '$o'] : ((vSIGMA('$i') @ (bCOMB @ vNOT @ (cCOMB @ likes_THFTYPE_IiioI @ sK7)) = $true) | (vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X0 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X1 @ (kCOMB @ (kCOMB @ $true))))) @ (X0 @ X2 @ lAnna_THFTYPE_i)) @ (X1 @ X2 @ lBill_THFTYPE_i) = $true)) )), 2.56/0.69 inference(combinator_demodulation,[],[f536])). 2.56/0.69 tff(f538,plain,( 2.56/0.69 ( ! [X2,X0:'$i' -> '$i' -> '$o',X1:'$i' -> '$i' -> '$o'] : ((bCOMB @ vNOT @ (cCOMB @ likes_THFTYPE_IiioI @ sK7) @ sK8 = $true) | (vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X0 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X1 @ (kCOMB @ (kCOMB @ $true))))) @ (X0 @ X2 @ lAnna_THFTYPE_i)) @ (X1 @ X2 @ lBill_THFTYPE_i) = $true)) )), 2.56/0.69 inference(sigma_clausification,[],[f537])). 2.56/0.69 tff(f539,plain,( 2.56/0.69 ( ! [X2,X0:'$i' -> '$i' -> '$o',X1:'$i' -> '$i' -> '$o'] : ((vNOT @ (likes_THFTYPE_IiioI @ sK8 @ sK7) = $true) | (vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X0 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X1 @ (kCOMB @ (kCOMB @ $true))))) @ (X0 @ X2 @ lAnna_THFTYPE_i)) @ (X1 @ X2 @ lBill_THFTYPE_i) = $true)) )), 2.56/0.69 inference(combinator_demodulation,[],[f538])). 2.56/0.69 tff(f540,plain,( 2.56/0.69 ( ! [X2,X0:'$i' -> '$i' -> '$o',X1:'$i' -> '$i' -> '$o'] : ((likes_THFTYPE_IiioI @ sK8 @ sK7 = $false) | (vAND @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X0 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X1 @ (kCOMB @ (kCOMB @ $true))))) @ (X0 @ X2 @ lAnna_THFTYPE_i)) @ (X1 @ X2 @ lBill_THFTYPE_i) = $true)) )), 2.56/0.69 inference(not_proxy_clausification,[],[f539])). 2.56/0.69 tff(f542,plain,( 2.56/0.69 ( ! [X2,X1:'$i' -> '$i' -> '$o'] : ((likes_THFTYPE_IiioI @ sK8 @ sK7 = $false) | (X1 @ X2 @ lBill_THFTYPE_i = $true)) )), 2.56/0.69 inference(binary_proxy_clausification,[],[f540])). 2.56/0.69 tff(f621,plain,( 2.56/0.69 ( ! [X2:'$i' -> '$i' -> '$o'] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X2 @ (kCOMB @ (kCOMB @ $true)))) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ likes_THFTYPE_IiioI @ (kCOMB @ (kCOMB @ $true))))) @ (X2 @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)) = $false)) ) | ~spl0_16), 2.56/0.69 inference(boolean_simplification,[],[f474])). 2.56/0.69 tff(f658,plain,( 2.56/0.69 spl0_48 <=> (likes_THFTYPE_IiioI @ sK8 @ sK7 = $false)), 2.56/0.69 introduced(avatar_definition,[new_symbols(naming,[spl0_48])])). 2.56/0.69 tff(f659,plain,( 2.56/0.69 (likes_THFTYPE_IiioI @ sK8 @ sK7 = $false) | ~spl0_48), 2.56/0.69 inference(avatar_component_clause,[],[f658])). 2.56/0.69 tff(f663,plain,( 2.56/0.69 spl0_6 | spl0_48), 2.56/0.69 inference(avatar_split_clause,[],[f542,f658,f290])). 2.56/0.69 tff(f668,plain,( 2.56/0.69 spl0_50 <=> (parent_THFTYPE_IiioI @ sK6 @ sK5 = $false)), 2.56/0.69 introduced(avatar_definition,[new_symbols(naming,[spl0_50])])). 2.56/0.69 tff(f669,plain,( 2.56/0.69 (parent_THFTYPE_IiioI @ sK6 @ sK5 = $false) | ~spl0_50), 2.56/0.69 inference(avatar_component_clause,[],[f668])). 2.56/0.69 tff(f673,plain,( 2.56/0.69 spl0_6 | spl0_50), 2.56/0.69 inference(avatar_split_clause,[],[f512,f668,f290])). 2.56/0.69 tff(f695,plain,( 2.56/0.69 spl0_52 <=> likes_THFTYPE_IiioI = kCOMB @ (kCOMB @ $true)), 2.56/0.69 introduced(avatar_definition,[new_symbols(naming,[spl0_52])])). 2.56/0.69 tff(f696,plain,( 2.56/0.69 likes_THFTYPE_IiioI = kCOMB @ (kCOMB @ $true) | ~spl0_52), 2.56/0.69 inference(avatar_component_clause,[],[f695])). 2.56/0.69 tff(f698,plain,( 2.56/0.69 spl0_53 <=> likes_THFTYPE_IiioI != kCOMB @ (kCOMB @ $true)), 2.56/0.69 introduced(avatar_definition,[new_symbols(naming,[spl0_53])])). 2.56/0.69 tff(f699,plain,( 2.56/0.69 likes_THFTYPE_IiioI != kCOMB @ (kCOMB @ $true) | ~spl0_53), 2.56/0.69 inference(avatar_component_clause,[],[f698])). 2.56/0.69 tff(f727,plain,( 2.56/0.69 spl0_64 <=> parent_THFTYPE_IiioI = kCOMB @ (kCOMB @ $true)), 2.56/0.69 introduced(avatar_definition,[new_symbols(naming,[spl0_64])])). 2.56/0.69 tff(f728,plain,( 2.56/0.69 parent_THFTYPE_IiioI = kCOMB @ (kCOMB @ $true) | ~spl0_64), 2.56/0.69 inference(avatar_component_clause,[],[f727])). 2.56/0.69 tff(f730,plain,( 2.56/0.69 spl0_65 <=> parent_THFTYPE_IiioI != kCOMB @ (kCOMB @ $true)), 2.56/0.69 introduced(avatar_definition,[new_symbols(naming,[spl0_65])])). 2.56/0.69 tff(f731,plain,( 2.56/0.69 parent_THFTYPE_IiioI != kCOMB @ (kCOMB @ $true) | ~spl0_65), 2.56/0.69 inference(avatar_component_clause,[],[f730])). 2.56/0.69 tff(f758,plain,( 2.56/0.69 parent_THFTYPE_IiioI = kCOMB @ (kCOMB @ $true) | (~spl0_8 | ~spl0_19 | ~spl0_35 | ~spl0_53)), 2.56/0.69 inference(unit_resulting_resolution,[],[f400,f332,f699,f295])). 2.56/0.69 tff(f766,plain,( 2.56/0.69 $false | (~spl0_8 | ~spl0_19 | ~spl0_35 | ~spl0_53 | ~spl0_65)), 2.56/0.69 inference(subsumption_resolution,[],[f758,f731])). 2.56/0.69 tff(f767,plain,( 2.56/0.69 ~spl0_8 | spl0_19 | spl0_35 | spl0_53 | spl0_65), 2.56/0.69 inference(avatar_contradiction_clause,[],[f766])). 2.56/0.69 tff(f770,plain,( 2.56/0.69 ($false = $true) | (~spl0_16 | ~spl0_18)), 2.56/0.69 inference(backward_demodulation,[],[f335,f325])). 2.56/0.69 tff(f771,plain,( 2.56/0.69 $false | (~spl0_16 | ~spl0_18)), 2.56/0.69 inference(trivial_inequality_removal,[],[f770])). 2.56/0.69 tff(f772,plain,( 2.56/0.69 ~spl0_16 | ~spl0_18), 2.56/0.69 inference(avatar_contradiction_clause,[],[f771])). 2.56/0.69 tff(f776,plain,( 2.56/0.69 ($false = $true) | (~spl0_32 | ~spl0_34)), 2.56/0.69 inference(backward_demodulation,[],[f403,f393])). 2.56/0.69 tff(f777,plain,( 2.56/0.69 $false | (~spl0_32 | ~spl0_34)), 2.56/0.69 inference(trivial_inequality_removal,[],[f776])). 2.56/0.69 tff(f778,plain,( 2.56/0.69 ~spl0_32 | ~spl0_34), 2.56/0.69 inference(avatar_contradiction_clause,[],[f777])). 2.56/0.69 tff(f795,plain,( 2.56/0.69 ( ! [X2:'$i' -> '$i' -> '$o'] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X2 @ likes_THFTYPE_IiioI)) @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ likes_THFTYPE_IiioI @ likes_THFTYPE_IiioI))) @ (X2 @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)) = $false)) ) | (~spl0_16 | ~spl0_52)), 2.56/0.69 inference(backward_demodulation,[],[f696,f621])). 2.56/0.69 tff(f812,plain,( 2.56/0.69 ( ! [X2:'$i' -> '$i' -> '$o'] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X2 @ likes_THFTYPE_IiioI)) @ (vNOT @ $true)) @ (X2 @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)) = $false)) ) | (~spl0_16 | ~spl0_52)), 2.56/0.69 inference(boolean_simplification,[],[f795])). 2.56/0.69 tff(f813,plain,( 2.56/0.69 ( ! [X2:'$i' -> '$i' -> '$o'] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (vAND @ (vAND @ (vNOT @ (vEQ('$i' -> '$i' -> '$o') @ X2 @ likes_THFTYPE_IiioI)) @ $false) @ (X2 @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)) = $false)) ) | (~spl0_16 | ~spl0_52)), 2.56/0.69 inference(boolean_simplification,[],[f812])). 2.56/0.69 tff(f814,plain,( 2.56/0.69 ( ! [X2:'$i' -> '$i' -> '$o'] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (vAND @ $false @ (X2 @ lSue_THFTYPE_i @ lAnna_THFTYPE_i)) = $false)) ) | (~spl0_16 | ~spl0_52)), 2.56/0.69 inference(boolean_simplification,[],[f813])). 2.56/0.69 tff(f815,plain,( 2.56/0.69 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false = $false) | (~spl0_16 | ~spl0_52)), 2.56/0.69 inference(boolean_simplification,[],[f814])). 2.56/0.69 tff(f916,plain,( 2.56/0.69 ($false = $true) | (vSIGMA('$i') @ (bCOMB @ vSIGMA('$i') @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ likes_THFTYPE_IiioI))) != $false) | (~spl0_16 | ~spl0_52)), 2.56/0.69 inference(superposition,[],[f41,f815])). 2.56/0.69 tff(f918,plain,( 2.56/0.69 (vSIGMA('$i') @ (bCOMB @ vSIGMA('$i') @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ likes_THFTYPE_IiioI))) != $false) | (~spl0_16 | ~spl0_52)), 2.56/0.69 inference(trivial_inequality_removal,[],[f916])). 2.56/0.69 tff(f919,plain,( 2.56/0.69 (bCOMB @ vSIGMA('$i') @ (bCOMB @ (bCOMB @ vNOT) @ (cCOMB @ likes_THFTYPE_IiioI)) @ sK17 = $true) | (~spl0_16 | ~spl0_52)), 2.56/0.69 inference(sigma_clausification,[],[f918])). 2.56/0.69 tff(f920,plain,( 2.56/0.69 (vSIGMA('$i') @ (bCOMB @ vNOT @ (cCOMB @ likes_THFTYPE_IiioI @ sK17)) = $true) | (~spl0_16 | ~spl0_52)), 2.56/0.69 inference(combinator_demodulation,[],[f919])). 2.56/0.69 tff(f921,plain,( 2.56/0.69 (bCOMB @ vNOT @ (cCOMB @ likes_THFTYPE_IiioI @ sK17) @ sK18 = $true) | (~spl0_16 | ~spl0_52)), 2.56/0.69 inference(sigma_clausification,[],[f920])). 2.56/0.69 tff(f922,plain,( 2.56/0.69 (vNOT @ (likes_THFTYPE_IiioI @ sK18 @ sK17) = $true) | (~spl0_16 | ~spl0_52)), 2.56/0.69 inference(combinator_demodulation,[],[f921])). 2.56/0.69 tff(f923,plain,( 2.56/0.69 (likes_THFTYPE_IiioI @ sK18 @ sK17 = $false) | (~spl0_16 | ~spl0_52)), 2.56/0.69 inference(not_proxy_clausification,[],[f922])). 2.56/0.69 tff(f930,plain,( 2.56/0.69 ( ! [X1] : (likes_THFTYPE_IiioI @ X1 = kCOMB @ (kCOMB @ $true) @ X1) ) | ~spl0_52), 2.56/0.69 inference(argument_congruence,[],[f696])). 2.56/0.69 tff(f940,plain,( 2.56/0.69 ( ! [X1] : (likes_THFTYPE_IiioI @ X1 = kCOMB @ $true) ) | ~spl0_52), 2.56/0.69 inference(combinator_demodulation,[],[f930])). 2.56/0.69 tff(f946,plain,( 2.56/0.69 ( ! [X2,X1] : ((likes_THFTYPE_IiioI @ X1 @ X2 = kCOMB @ $true @ X2)) ) | ~spl0_52), 2.56/0.69 inference(argument_congruence,[],[f940])). 2.56/0.69 tff(f960,plain,( 2.56/0.69 ( ! [X2,X1] : ((likes_THFTYPE_IiioI @ X1 @ X2 = $true)) ) | ~spl0_52), 2.56/0.69 inference(combinator_demodulation,[],[f946])). 2.56/0.69 tff(f985,plain,( 2.56/0.69 ($false = $true) | (~spl0_48 | ~spl0_52)), 2.56/0.69 inference(superposition,[],[f960,f659])). 2.56/0.69 tff(f988,plain,( 2.56/0.69 ($false = $true) | (~spl0_16 | ~spl0_52)), 2.56/0.69 inference(superposition,[],[f960,f923])). 2.56/0.69 tff(f1013,plain,( 2.56/0.69 $false | (~spl0_16 | ~spl0_52)), 2.56/0.69 inference(trivial_inequality_removal,[],[f988])). 2.56/0.69 tff(f1014,plain,( 2.56/0.69 ~spl0_16 | ~spl0_52), 2.56/0.69 inference(avatar_contradiction_clause,[],[f1013])). 2.56/0.69 tff(f1019,plain,( 2.56/0.69 $false | (~spl0_48 | ~spl0_52)), 2.56/0.69 inference(trivial_inequality_removal,[],[f985])). 2.56/0.69 tff(f1020,plain,( 2.56/0.69 ~spl0_48 | ~spl0_52), 2.56/0.69 inference(avatar_contradiction_clause,[],[f1019])). 2.56/0.69 tff(f1094,plain,( 2.56/0.69 likes_THFTYPE_IiioI @ sK28 != kCOMB @ (kCOMB @ $true) @ sK28 | ~spl0_53), 2.56/0.69 inference(negative_extensionality,[],[f699])). 2.56/0.69 tff(f1097,plain,( 2.56/0.69 likes_THFTYPE_IiioI @ sK28 != kCOMB @ $true | ~spl0_53), 2.56/0.69 inference(combinator_demodulation,[],[f1094])). 2.56/0.69 tff(f1098,plain,( 2.56/0.69 (likes_THFTYPE_IiioI @ sK28 @ sK29 != kCOMB @ $true @ sK29) | ~spl0_53), 2.56/0.69 inference(negative_extensionality,[],[f1097])). 2.56/0.69 tff(f1099,plain,( 2.56/0.69 (likes_THFTYPE_IiioI @ sK28 @ sK29 != $true) | ~spl0_53), 2.56/0.69 inference(combinator_demodulation,[],[f1098])). 2.56/0.69 tff(f1100,plain,( 2.56/0.69 ($true != $true) | (likes_THFTYPE_IiioI @ sK28 @ sK29 = $false) | ~spl0_53), 2.56/0.69 inference(fool_paramodulation,[],[f1099])). 2.56/0.69 tff(f1101,plain,( 2.56/0.69 (likes_THFTYPE_IiioI @ sK28 @ sK29 = $false) | ~spl0_53), 2.56/0.69 inference(trivial_inequality_removal,[],[f1100])). 2.56/0.69 tff(f1103,plain,( 2.56/0.69 ( ! [X1] : (parent_THFTYPE_IiioI @ X1 = kCOMB @ (kCOMB @ $true) @ X1) ) | ~spl0_64), 2.56/0.69 inference(argument_congruence,[],[f728])). 2.56/0.69 tff(f1116,plain,( 2.56/0.69 ( ! [X1] : (parent_THFTYPE_IiioI @ X1 = kCOMB @ $true) ) | ~spl0_64), 2.56/0.69 inference(combinator_demodulation,[],[f1103])). 2.56/0.69 tff(f1156,plain,( 2.56/0.69 ( ! [X2,X1] : ((parent_THFTYPE_IiioI @ X1 @ X2 = kCOMB @ $true @ X2)) ) | ~spl0_64), 2.56/0.69 inference(argument_congruence,[],[f1116])). 2.56/0.69 tff(f1173,plain,( 2.56/0.69 ( ! [X2,X1] : ((parent_THFTYPE_IiioI @ X1 @ X2 = $true)) ) | ~spl0_64), 2.56/0.69 inference(combinator_demodulation,[],[f1156])). 2.56/0.69 tff(f1177,plain,( 2.56/0.69 ($false = $true) | (~spl0_50 | ~spl0_64)), 2.56/0.69 inference(superposition,[],[f1173,f669])). 2.56/0.69 tff(f1201,plain,( 2.56/0.69 $false | (~spl0_50 | ~spl0_64)), 2.56/0.69 inference(trivial_inequality_removal,[],[f1177])). 2.56/0.69 tff(f1202,plain,( 2.56/0.69 ~spl0_50 | ~spl0_64), 2.56/0.69 inference(avatar_contradiction_clause,[],[f1201])). 2.56/0.69 tff(f1240,plain,( 2.56/0.69 ( ! [X0] : ((vEQ('$i') @ X0 @ lBill_THFTYPE_i = $true)) ) | ~spl0_6), 2.56/0.69 inference(primitive_instantiation,[],[f291])). 2.56/0.69 tff(f1249,plain,( 2.56/0.69 ( ! [X0] : (lBill_THFTYPE_i = X0) ) | ~spl0_6), 2.56/0.69 inference(equality_proxy_clausification,[],[f1240])). 2.56/0.69 tff(f1252,plain,( 2.56/0.69 (likes_THFTYPE_IiioI @ lBill_THFTYPE_i @ lBill_THFTYPE_i != $false) | (~spl0_6 | ~spl0_11)), 2.56/0.69 inference(backward_demodulation,[],[f1249,f298])). 2.56/0.69 tff(f1261,plain,( 2.56/0.69 (likes_THFTYPE_IiioI @ lBill_THFTYPE_i @ lBill_THFTYPE_i != $false) | (~spl0_6 | ~spl0_19)), 2.56/0.69 inference(backward_demodulation,[],[f1249,f332])). 2.56/0.69 tff(f1302,plain,( 2.56/0.69 (likes_THFTYPE_IiioI @ lBill_THFTYPE_i @ sK29 = $false) | (~spl0_6 | ~spl0_53)), 2.56/0.69 inference(backward_demodulation,[],[f1249,f1101])). 2.56/0.69 tff(f1355,plain,( 2.56/0.69 (likes_THFTYPE_IiioI @ lBill_THFTYPE_i @ lBill_THFTYPE_i = $false) | (~spl0_6 | ~spl0_53)), 2.56/0.69 inference(forward_demodulation,[],[f1302,f1249])). 2.56/0.69 tff(f1356,plain,( 2.56/0.69 $false | (~spl0_6 | ~spl0_11 | ~spl0_53)), 2.56/0.69 inference(subsumption_resolution,[],[f1355,f1252])). 2.56/0.69 tff(f1357,plain,( 2.56/0.69 ~spl0_6 | spl0_11 | spl0_53), 2.56/0.69 inference(avatar_contradiction_clause,[],[f1356])). 2.56/0.69 tff(f1378,plain,( 2.56/0.69 (likes_THFTYPE_IiioI @ lBill_THFTYPE_i @ lBill_THFTYPE_i = $false) | (~spl0_6 | ~spl0_10)), 2.56/0.69 inference(forward_demodulation,[],[f301,f1249])). 2.56/0.69 tff(f1381,plain,( 2.56/0.69 $false | (~spl0_6 | ~spl0_10 | ~spl0_19)), 2.56/0.69 inference(subsumption_resolution,[],[f1261,f1378])). 2.56/0.69 tff(f1382,plain,( 2.56/0.69 ~spl0_6 | ~spl0_10 | spl0_19), 2.56/0.69 inference(avatar_contradiction_clause,[],[f1381])). 2.56/0.69 tff(f1594,plain,( 2.56/0.69 $false | (~spl0_6 | ~spl0_17)), 2.56/0.69 inference(subsumption_resolution,[],[f322,f291])). 2.56/0.69 tff(f1595,plain,( 2.56/0.69 ~spl0_6 | spl0_17), 2.56/0.69 inference(avatar_contradiction_clause,[],[f1594])). 2.56/0.69 tff(f1597,plain,( 2.56/0.69 $false), 2.56/0.69 inference(avatar_sat_refutation,[],[f329,f397,f404,f663,f673,f767,f772,f778,f1014,f1020,f1202,f1357,f1382,f1595])). 2.56/0.69 % SZS output end Proof for theBenchmark 2.56/0.69 % (5965)------------------------------ 2.56/0.69 % (5965)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 2.56/0.69 % (5965)Termination reason: Refutation 2.56/0.69 2.56/0.69 % (5965)Memory used [KB]: 6652 2.56/0.69 % (5965)Time elapsed: 0.282 s 2.56/0.69 % (5965)------------------------------ 2.56/0.69 % (5965)------------------------------ 2.56/0.69 % (5960)Success in time 0.374 s 2.56/0.69 EOF