0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_vampire %s %d 0.14/0.35 % Computer : n004.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 960 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Thu Jul 2 07:03:43 EDT 2020 0.14/0.35 % CPUTime : 0.21/0.38 % (10842)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 0.21/0.40 % (10832)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 0.21/0.40 % (10837)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 % (10841)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 % (10844)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 0.21/0.40 % (10834)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 % (10863)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 0.21/0.41 % (10838)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 0.21/0.41 % (10843)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 0.21/0.42 % (10850)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 0.21/0.42 % (10855)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 0.21/0.42 % (10833)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 0.21/0.42 % (10856)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 0.21/0.42 % (10857)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 0.21/0.42 % (10836)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 0.21/0.43 % (10847)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 0.21/0.43 % (10862)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 0.21/0.43 % (10848)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 0.21/0.43 % (10859)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 0.21/0.43 % (10851)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 0.21/0.44 % (10840)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 0.21/0.44 % (10852)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 0.21/0.44 % (10858)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 0.21/0.44 % (10861)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 0.21/0.44 % (10860)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 0.21/0.44 % (10846)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 0.21/0.45 % (10849)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 0.21/0.45 % (10839)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 0.21/0.45 % (10853)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 0.21/0.45 % (10845)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 0.21/0.46 % (10847)Refutation not found, incomplete strategy 0.21/0.46 % (10847)------------------------------ 0.21/0.46 % (10847)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 0.21/0.46 % (10847)Termination reason: Refutation not found, incomplete strategy 0.21/0.46 0.21/0.46 % (10847)Memory used [KB]: 5373 0.21/0.46 % (10847)Time elapsed: 0.054 s 0.21/0.46 % (10847)------------------------------ 0.21/0.46 % (10847)------------------------------ 0.21/0.51 % (10857)Refutation found. Thanks to Tanya! 0.21/0.51 % SZS status Theorem for theBenchmark 0.21/0.51 % SZS output start Proof for theBenchmark 0.21/0.51 tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType'). 0.21/0.51 tff(func_def_4, type, cQ: '$i' -> '$o'). 0.21/0.51 tff(func_def_5, type, cP: '$i' -> '$o'). 0.21/0.51 tff(func_def_6, type, cS: '$i' -> '$o'). 0.21/0.51 tff(func_def_7, type, cR: '$i' -> '$o'). 0.21/0.51 tff(func_def_8, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1). 0.21/0.51 tff(func_def_9, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0). 0.21/0.51 tff(func_def_22, type, sK10: '$i' -> '$i'). 0.21/0.51 tff(func_def_24, type, sK12: '$i' -> '$i'). 0.21/0.51 tff(func_def_26, type, sK14: '$i' -> '$i'). 0.21/0.51 tff(func_def_28, type, sK16: '$i' -> '$i'). 0.21/0.51 tff(func_def_38, type, sK26: '$i' -> '$i'). 0.21/0.51 tff(func_def_41, type, sK29: '$i' -> '$i'). 0.21/0.51 tff(func_def_42, type, sK30: '$i' -> '$i'). 0.21/0.51 tff(func_def_44, type, sK32: '$i' -> '$i'). 0.21/0.51 tff(func_def_55, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 0.21/0.51 tff(func_def_56, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2). 0.21/0.51 tff(func_def_57, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2). 0.21/0.51 tff(func_def_58, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1). 0.21/0.51 tff(func_def_59, type, iCOMB: !>[X2: $ttype]:X2 -> X2). 0.21/0.51 tff(f1,conjecture,( 0.21/0.51 (((? [X0] : cR @ X0 <=> ! [X1] : cS @ X1) <=> ? [X0] : ! [X1] : (cQ @ X0 <=> cQ @ X1)) <=> (? [X0] : ! [X1] : (cP @ X1 <=> cP @ X0) <=> (! [X1] : cR @ X1 <=> ? [X0] : cQ @ X0))) <=> (((? [X0] : cP @ X0 <=> ! [X1] : cQ @ X1) <=> ? [X0] : ! [X1] : (cS @ X1 <=> cS @ X0)) <=> ((? [X0] : cS @ X0 <=> ! [X1] : cP @ X1) <=> ? [X0] : ! [X1] : (cR @ X0 <=> cR @ X1)))), 0.21/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM138)). 0.21/0.51 tff(f2,negated_conjecture,( 0.21/0.51 ~((((? [X0] : cR @ X0 <=> ! [X1] : cS @ X1) <=> ? [X0] : ! [X1] : (cQ @ X0 <=> cQ @ X1)) <=> (? [X0] : ! [X1] : (cP @ X1 <=> cP @ X0) <=> (! [X1] : cR @ X1 <=> ? [X0] : cQ @ X0))) <=> (((? [X0] : cP @ X0 <=> ! [X1] : cQ @ X1) <=> ? [X0] : ! [X1] : (cS @ X1 <=> cS @ X0)) <=> ((? [X0] : cS @ X0 <=> ! [X1] : cP @ X1) <=> ? [X0] : ! [X1] : (cR @ X0 <=> cR @ X1))))), 0.21/0.51 inference(negated_conjecture,[],[f1])). 0.21/0.51 tff(f3,plain,( 0.21/0.51 ~((((? [X0] : cR @ X0 <=> ! [X1] : cS @ X1) <=> ? [X2] : ! [X3] : (cQ @ X2 <=> cQ @ X3)) <=> (? [X4] : ! [X5] : (cP @ X5 <=> cP @ X4) <=> (! [X6] : cR @ X6 <=> ? [X7] : cQ @ X7))) <=> (((? [X8] : cP @ X8 <=> ! [X9] : cQ @ X9) <=> ? [X10] : ! [X11] : (cS @ X11 <=> cS @ X10)) <=> ((? [X12] : cS @ X12 <=> ! [X13] : cP @ X13) <=> ? [X14] : ! [X15] : (cR @ X14 <=> cR @ X15))))), 0.21/0.51 inference(rectify,[],[f2])). 0.21/0.51 tff(f4,plain,( 0.21/0.51 ~((((? [X0] : (cR @ X0 = $true) <=> ! [X1] : (cS @ X1 = $true)) <=> ? [X2] : ! [X3] : (cQ @ X2 = cQ @ X3)) <=> (? [X4] : ! [X5] : (cP @ X4 = cP @ X5) <=> (! [X6] : (cR @ X6 = $true) <=> ? [X7] : (cQ @ X7 = $true)))) <=> (((? [X8] : (cP @ X8 = $true) <=> ! [X9] : (cQ @ X9 = $true)) <=> ? [X10] : ! [X11] : (cS @ X10 = cS @ X11)) <=> ((? [X12] : (cS @ X12 = $true) <=> ! [X13] : (cP @ X13 = $true)) <=> ? [X14] : ! [X15] : (cR @ X14 = cR @ X15))))), 0.21/0.51 inference(fool_elimination,[],[f3])). 0.21/0.51 tff(f5,plain,( 0.21/0.51 (((? [X0] : (cR @ X0 = $true) <=> ! [X1] : (cS @ X1 = $true)) <=> ? [X2] : ! [X3] : (cQ @ X2 = cQ @ X3)) <=> (? [X4] : ! [X5] : (cP @ X4 = cP @ X5) <=> (! [X6] : (cR @ X6 = $true) <=> ? [X7] : (cQ @ X7 = $true)))) <~> (((? [X8] : (cP @ X8 = $true) <=> ! [X9] : (cQ @ X9 = $true)) <=> ? [X10] : ! [X11] : (cS @ X10 = cS @ X11)) <=> ((? [X12] : (cS @ X12 = $true) <=> ! [X13] : (cP @ X13 = $true)) <=> ? [X14] : ! [X15] : (cR @ X14 = cR @ X15)))), 0.21/0.51 inference(ennf_transformation,[],[f4])). 0.21/0.51 tff(f6,plain,( 0.21/0.51 ($true = sP0) <=> (? [X0] : (cR @ X0 = $true) <=> ! [X1] : (cS @ X1 = $true))), 0.21/0.51 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 0.21/0.51 tff(f7,plain,( 0.21/0.51 ($true = sP1) <=> (! [X6] : (cR @ X6 = $true) <=> ? [X7] : (cQ @ X7 = $true))), 0.21/0.51 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 0.21/0.51 tff(f8,plain,( 0.21/0.51 ($true = sP2) <=> (($true = sP0) <=> ? [X2] : ! [X3] : (cQ @ X2 = cQ @ X3))), 0.21/0.51 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 0.21/0.51 tff(f9,plain,( 0.21/0.51 ($true = sP3) <=> (? [X4] : ! [X5] : (cP @ X4 = cP @ X5) <=> ($true = sP1))), 0.21/0.51 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 0.21/0.51 tff(f10,plain,( 0.21/0.51 ($true = sP4) <=> (? [X8] : (cP @ X8 = $true) <=> ! [X9] : (cQ @ X9 = $true))), 0.21/0.51 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 0.21/0.51 tff(f11,plain,( 0.21/0.51 ($true = sP5) <=> (? [X12] : (cS @ X12 = $true) <=> ! [X13] : (cP @ X13 = $true))), 0.21/0.51 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 0.21/0.51 tff(f12,plain,( 0.21/0.51 ($true = sP6) <=> (($true = sP4) <=> ? [X10] : ! [X11] : (cS @ X10 = cS @ X11))), 0.21/0.51 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 0.21/0.51 tff(f13,plain,( 0.21/0.51 ($true = sP7) <=> (($true = sP5) <=> ? [X14] : ! [X15] : (cR @ X14 = cR @ X15))), 0.21/0.51 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 0.21/0.51 tff(f14,plain,( 0.21/0.51 ($true = sP8) <=> (($true = sP2) <=> ($true = sP3))), 0.21/0.51 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 0.21/0.51 tff(f15,plain,( 0.21/0.51 ($true = sP9) <=> (($true = sP6) <=> ($true = sP7))), 0.21/0.51 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 0.21/0.51 tff(f16,plain,( 0.21/0.51 ($true = sP8) <~> ($true = sP9)), 0.21/0.51 inference(definition_folding,[],[f5,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6])). 0.21/0.51 tff(f17,plain,( 0.21/0.51 (($true = sP9) | ((($true != sP7) | ($true != sP6)) & (($true = sP7) | ($true = sP6)))) & (((($true = sP6) | ($true != sP7)) & (($true = sP7) | ($true != sP6))) | ($true != sP9))), 0.21/0.51 inference(nnf_transformation,[],[f15])). 0.21/0.51 tff(f18,plain,( 0.21/0.51 (($true = sP8) | ((($true != sP3) | ($true != sP2)) & (($true = sP3) | ($true = sP2)))) & (((($true = sP2) | ($true != sP3)) & (($true = sP3) | ($true != sP2))) | ($true != sP8))), 0.21/0.51 inference(nnf_transformation,[],[f14])). 0.21/0.51 tff(f19,plain,( 0.21/0.51 (($true = sP7) | ((! [X14] : ? [X15] : (cR @ X14 != cR @ X15) | ($true != sP5)) & (? [X14] : ! [X15] : (cR @ X14 = cR @ X15) | ($true = sP5)))) & (((($true = sP5) | ! [X14] : ? [X15] : (cR @ X14 != cR @ X15)) & (? [X14] : ! [X15] : (cR @ X14 = cR @ X15) | ($true != sP5))) | ($true != sP7))), 0.21/0.51 inference(nnf_transformation,[],[f13])). 0.21/0.51 tff(f20,plain,( 0.21/0.51 (($true = sP7) | ((! [X0] : ? [X1] : (cR @ X0 != cR @ X1) | ($true != sP5)) & (? [X2] : ! [X3] : (cR @ X2 = cR @ X3) | ($true = sP5)))) & (((($true = sP5) | ! [X4] : ? [X5] : (cR @ X4 != cR @ X5)) & (? [X6] : ! [X7] : (cR @ X6 = cR @ X7) | ($true != sP5))) | ($true != sP7))), 0.21/0.51 inference(rectify,[],[f19])). 0.21/0.51 % (10888)dis+1011_10_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_75 on theBenchmark 1.27/0.53 tff(f21,plain,( 1.27/0.53 ! [X0] : (? [X1] : (cR @ X0 != cR @ X1) => (cR @ X0 != cR @ (sK10 @ X0)))), 1.27/0.53 introduced(choice_axiom,[])). 1.27/0.53 tff(f22,plain,( 1.27/0.53 ? [X2] : ! [X3] : (cR @ X2 = cR @ X3) => ! [X3] : (cR @ sK11 = cR @ X3)), 1.27/0.53 introduced(choice_axiom,[])). 1.27/0.53 tff(f23,plain,( 1.27/0.53 ! [X4] : (? [X5] : (cR @ X4 != cR @ X5) => (cR @ X4 != cR @ (sK12 @ X4)))), 1.27/0.53 introduced(choice_axiom,[])). 1.27/0.53 tff(f24,plain,( 1.27/0.53 ? [X6] : ! [X7] : (cR @ X6 = cR @ X7) => ! [X7] : (cR @ sK13 = cR @ X7)), 1.27/0.53 introduced(choice_axiom,[])). 1.27/0.53 tff(f25,plain,( 1.27/0.53 (($true = sP7) | ((! [X0] : (cR @ X0 != cR @ (sK10 @ X0)) | ($true != sP5)) & (! [X3] : (cR @ sK11 = cR @ X3) | ($true = sP5)))) & (((($true = sP5) | ! [X4] : (cR @ X4 != cR @ (sK12 @ X4))) & (! [X7] : (cR @ sK13 = cR @ X7) | ($true != sP5))) | ($true != sP7))), 1.27/0.53 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13])],[f20,f24,f23,f22,f21])). 1.27/0.53 tff(f26,plain,( 1.27/0.53 (($true = sP6) | ((! [X10] : ? [X11] : (cS @ X10 != cS @ X11) | ($true != sP4)) & (? [X10] : ! [X11] : (cS @ X10 = cS @ X11) | ($true = sP4)))) & (((($true = sP4) | ! [X10] : ? [X11] : (cS @ X10 != cS @ X11)) & (? [X10] : ! [X11] : (cS @ X10 = cS @ X11) | ($true != sP4))) | ($true != sP6))), 1.27/0.53 inference(nnf_transformation,[],[f12])). 1.27/0.53 tff(f27,plain,( 1.27/0.53 (($true = sP6) | ((! [X0] : ? [X1] : (cS @ X0 != cS @ X1) | ($true != sP4)) & (? [X2] : ! [X3] : (cS @ X2 = cS @ X3) | ($true = sP4)))) & (((($true = sP4) | ! [X4] : ? [X5] : (cS @ X4 != cS @ X5)) & (? [X6] : ! [X7] : (cS @ X6 = cS @ X7) | ($true != sP4))) | ($true != sP6))), 1.27/0.53 inference(rectify,[],[f26])). 1.27/0.53 tff(f28,plain,( 1.27/0.53 ! [X0] : (? [X1] : (cS @ X0 != cS @ X1) => (cS @ X0 != cS @ (sK14 @ X0)))), 1.27/0.53 introduced(choice_axiom,[])). 1.27/0.53 tff(f29,plain,( 1.27/0.53 ? [X2] : ! [X3] : (cS @ X2 = cS @ X3) => ! [X3] : (cS @ sK15 = cS @ X3)), 1.27/0.53 introduced(choice_axiom,[])). 1.27/0.53 tff(f30,plain,( 1.27/0.53 ! [X4] : (? [X5] : (cS @ X4 != cS @ X5) => (cS @ X4 != cS @ (sK16 @ X4)))), 1.27/0.53 introduced(choice_axiom,[])). 1.27/0.53 tff(f31,plain,( 1.27/0.53 ? [X6] : ! [X7] : (cS @ X6 = cS @ X7) => ! [X7] : (cS @ sK17 = cS @ X7)), 1.27/0.53 introduced(choice_axiom,[])). 1.27/0.53 tff(f32,plain,( 1.27/0.53 (($true = sP6) | ((! [X0] : (cS @ X0 != cS @ (sK14 @ X0)) | ($true != sP4)) & (! [X3] : (cS @ sK15 = cS @ X3) | ($true = sP4)))) & (((($true = sP4) | ! [X4] : (cS @ X4 != cS @ (sK16 @ X4))) & (! [X7] : (cS @ sK17 = cS @ X7) | ($true != sP4))) | ($true != sP6))), 1.27/0.53 inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17])],[f27,f31,f30,f29,f28])). 1.27/0.53 tff(f33,plain,( 1.27/0.53 (($true = sP5) | ((? [X13] : (cP @ X13 != $true) | ! [X12] : (cS @ X12 != $true)) & (! [X13] : (cP @ X13 = $true) | ? [X12] : (cS @ X12 = $true)))) & (((? [X12] : (cS @ X12 = $true) | ? [X13] : (cP @ X13 != $true)) & (! [X13] : (cP @ X13 = $true) | ! [X12] : (cS @ X12 != $true))) | ($true != sP5))), 1.27/0.53 inference(nnf_transformation,[],[f11])). 1.27/0.53 tff(f34,plain,( 1.27/0.53 (($true = sP5) | ((? [X0] : (cP @ X0 != $true) | ! [X1] : (cS @ X1 != $true)) & (! [X2] : (cP @ X2 = $true) | ? [X3] : (cS @ X3 = $true)))) & (((? [X4] : (cS @ X4 = $true) | ? [X5] : (cP @ X5 != $true)) & (! [X6] : (cP @ X6 = $true) | ! [X7] : (cS @ X7 != $true))) | ($true != sP5))), 1.27/0.53 inference(rectify,[],[f33])). 1.27/0.53 tff(f35,plain,( 1.27/0.53 ? [X0] : (cP @ X0 != $true) => (cP @ sK18 != $true)), 1.27/0.53 introduced(choice_axiom,[])). 1.27/0.53 tff(f36,plain,( 1.27/0.53 ? [X3] : (cS @ X3 = $true) => (cS @ sK19 = $true)), 1.27/0.53 introduced(choice_axiom,[])). 1.27/0.53 tff(f37,plain,( 1.27/0.53 ? [X4] : (cS @ X4 = $true) => (cS @ sK20 = $true)), 1.27/0.53 introduced(choice_axiom,[])). 1.27/0.53 tff(f38,plain,( 1.27/0.53 ? [X5] : (cP @ X5 != $true) => (cP @ sK21 != $true)), 1.27/0.53 introduced(choice_axiom,[])). 1.27/0.53 tff(f39,plain,( 1.27/0.53 (($true = sP5) | (((cP @ sK18 != $true) | ! [X1] : (cS @ X1 != $true)) & (! [X2] : (cP @ X2 = $true) | (cS @ sK19 = $true)))) & ((((cS @ sK20 = $true) | (cP @ sK21 != $true)) & (! [X6] : (cP @ X6 = $true) | ! [X7] : (cS @ X7 != $true))) | ($true != sP5))), 1.27/0.53 inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21])],[f34,f38,f37,f36,f35])). 1.27/0.53 tff(f40,plain,( 1.27/0.53 (($true = sP4) | ((? [X9] : (cQ @ X9 != $true) | ! 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[X7] : (cP @ X6 != cP @ X7) => (cP @ X6 != cP @ (sK29 @ X6)))), 1.27/0.53 introduced(choice_axiom,[])). 1.27/0.53 tff(f53,plain,( 1.27/0.53 (($true = sP3) | ((($true != sP1) | ! [X0] : (cP @ X0 != cP @ (sK26 @ X0))) & (($true = sP1) | ! [X3] : (cP @ sK27 = cP @ X3)))) & (((! [X5] : (cP @ sK28 = cP @ X5) | ($true != sP1)) & (($true = sP1) | ! [X6] : (cP @ X6 != cP @ (sK29 @ X6)))) | ($true != sP3))), 1.27/0.53 inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27,sK28,sK29])],[f48,f52,f51,f50,f49])). 1.27/0.53 tff(f54,plain,( 1.27/0.53 (($true = sP2) | ((! [X2] : ? [X3] : (cQ @ X2 != cQ @ X3) | ($true != sP0)) & (? [X2] : ! [X3] : (cQ @ X2 = cQ @ X3) | ($true = sP0)))) & (((($true = sP0) | ! [X2] : ? [X3] : (cQ @ X2 != cQ @ X3)) & (? [X2] : ! [X3] : (cQ @ X2 = cQ @ X3) | ($true != sP0))) | ($true != sP2))), 1.27/0.53 inference(nnf_transformation,[],[f8])). 1.27/0.53 tff(f55,plain,( 1.27/0.53 (($true = sP2) | ((! [X0] : ? [X1] : (cQ @ X0 != cQ @ X1) | ($true != sP0)) & (? 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[X3] : (cQ @ sK31 = cQ @ X3) | ($true = sP0)))) & (((($true = sP0) | ! [X4] : (cQ @ X4 != cQ @ (sK32 @ X4))) & (! [X7] : (cQ @ sK33 = cQ @ X7) | ($true != sP0))) | ($true != sP2))), 1.27/0.53 inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31,sK32,sK33])],[f55,f59,f58,f57,f56])). 1.27/0.53 tff(f61,plain,( 1.27/0.53 (($true = sP1) | ((! [X7] : (cQ @ X7 != $true) | ? [X6] : (cR @ X6 != $true)) & (? [X7] : (cQ @ X7 = $true) | ! [X6] : (cR @ X6 = $true)))) & (((! [X6] : (cR @ X6 = $true) | ! [X7] : (cQ @ X7 != $true)) & (? [X7] : (cQ @ X7 = $true) | ? [X6] : (cR @ X6 != $true))) | ($true != sP1))), 1.27/0.53 inference(nnf_transformation,[],[f7])). 1.27/0.53 tff(f62,plain,( 1.27/0.53 (($true = sP1) | ((! [X0] : (cQ @ X0 != $true) | ? [X1] : (cR @ X1 != $true)) & (? [X2] : (cQ @ X2 = $true) | ! [X3] : (cR @ X3 = $true)))) & (((! [X4] : (cR @ X4 = $true) | ! [X5] : (cQ @ X5 != $true)) & (? [X6] : (cQ @ X6 = $true) | ? [X7] : (cR @ X7 != $true))) | ($true != sP1))), 1.27/0.53 inference(rectify,[],[f61])). 1.27/0.53 tff(f63,plain,( 1.27/0.53 ? [X1] : (cR @ X1 != $true) => (cR @ sK34 != $true)), 1.27/0.53 introduced(choice_axiom,[])). 1.27/0.53 tff(f64,plain,( 1.27/0.53 ? [X2] : (cQ @ X2 = $true) => (cQ @ sK35 = $true)), 1.27/0.53 introduced(choice_axiom,[])). 1.27/0.53 tff(f65,plain,( 1.27/0.53 ? [X6] : (cQ @ X6 = $true) => (cQ @ sK36 = $true)), 1.27/0.53 introduced(choice_axiom,[])). 1.27/0.53 tff(f66,plain,( 1.27/0.53 ? [X7] : (cR @ X7 != $true) => (cR @ sK37 != $true)), 1.27/0.53 introduced(choice_axiom,[])). 1.27/0.53 tff(f67,plain,( 1.27/0.53 (($true = sP1) | ((! [X0] : (cQ @ X0 != $true) | (cR @ sK34 != $true)) & ((cQ @ sK35 = $true) | ! [X3] : (cR @ X3 = $true)))) & (((! [X4] : (cR @ X4 = $true) | ! [X5] : (cQ @ X5 != $true)) & ((cQ @ sK36 = $true) | (cR @ sK37 != $true))) | ($true != sP1))), 1.27/0.53 inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35,sK36,sK37])],[f62,f66,f65,f64,f63])). 1.27/0.53 tff(f68,plain,( 1.27/0.53 (($true = sP0) | ((? [X1] : (cS @ X1 != $true) | ! [X0] : (cR @ X0 != $true)) & (! [X1] : (cS @ X1 = $true) | ? [X0] : (cR @ X0 = $true)))) & (((? [X0] : (cR @ X0 = $true) | ? [X1] : (cS @ X1 != $true)) & (! [X1] : (cS @ X1 = $true) | ! [X0] : (cR @ X0 != $true))) | ($true != sP0))), 1.27/0.53 inference(nnf_transformation,[],[f6])). 1.27/0.53 tff(f69,plain,( 1.27/0.53 (($true = sP0) | ((? [X0] : (cS @ X0 != $true) | ! [X1] : (cR @ X1 != $true)) & (! [X2] : (cS @ X2 = $true) | ? [X3] : (cR @ X3 = $true)))) & (((? [X4] : (cR @ X4 = $true) | ? [X5] : (cS @ X5 != $true)) & (! [X6] : (cS @ X6 = $true) | ! [X7] : (cR @ X7 != $true))) | ($true != sP0))), 1.27/0.53 inference(rectify,[],[f68])). 1.27/0.53 tff(f70,plain,( 1.27/0.53 ? [X0] : (cS @ X0 != $true) => (cS @ sK38 != $true)), 1.27/0.53 introduced(choice_axiom,[])). 1.27/0.53 tff(f71,plain,( 1.27/0.53 ? [X3] : (cR @ X3 = $true) => (cR @ sK39 = $true)), 1.27/0.53 introduced(choice_axiom,[])). 1.27/0.53 tff(f72,plain,( 1.27/0.53 ? [X4] : (cR @ X4 = $true) => (cR @ sK40 = $true)), 1.27/0.53 introduced(choice_axiom,[])). 1.27/0.53 tff(f73,plain,( 1.27/0.53 ? [X5] : (cS @ X5 != $true) => (cS @ sK41 != $true)), 1.27/0.53 introduced(choice_axiom,[])). 1.27/0.53 tff(f74,plain,( 1.27/0.53 (($true = sP0) | (((cS @ sK38 != $true) | ! [X1] : (cR @ X1 != $true)) & (! [X2] : (cS @ X2 = $true) | (cR @ sK39 = $true)))) & ((((cR @ sK40 = $true) | (cS @ sK41 != $true)) & (! [X6] : (cS @ X6 = $true) | ! [X7] : (cR @ X7 != $true))) | ($true != sP0))), 1.27/0.53 inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39,sK40,sK41])],[f69,f73,f72,f71,f70])). 1.27/0.53 tff(f75,plain,( 1.27/0.53 (($true != sP9) | ($true != sP8)) & (($true = sP9) | ($true = sP8))), 1.27/0.53 inference(nnf_transformation,[],[f16])). 1.27/0.53 tff(f76,plain,( 1.27/0.53 ($true = sP7) | ($true != sP6) | ($true != sP9)), 1.27/0.53 inference(cnf_transformation,[],[f17])). 1.27/0.53 tff(f77,plain,( 1.27/0.53 ($true = sP6) | ($true != sP7) | ($true != sP9)), 1.27/0.53 inference(cnf_transformation,[],[f17])). 1.27/0.53 tff(f78,plain,( 1.27/0.53 ($true = sP9) | ($true = sP7) | ($true = sP6)), 1.27/0.53 inference(cnf_transformation,[],[f17])). 1.27/0.53 tff(f79,plain,( 1.27/0.53 ($true = sP9) | ($true != sP7) | ($true != sP6)), 1.27/0.53 inference(cnf_transformation,[],[f17])). 1.27/0.53 tff(f80,plain,( 1.27/0.53 ($true = sP3) | ($true != sP2) | ($true != sP8)), 1.27/0.53 inference(cnf_transformation,[],[f18])). 1.27/0.53 tff(f81,plain,( 1.27/0.53 ($true = sP2) | ($true != sP3) | ($true != sP8)), 1.27/0.53 inference(cnf_transformation,[],[f18])). 1.27/0.53 tff(f82,plain,( 1.27/0.53 ($true = sP8) | ($true = sP3) | ($true = sP2)), 1.27/0.53 inference(cnf_transformation,[],[f18])). 1.27/0.53 tff(f83,plain,( 1.27/0.53 ($true = sP8) | ($true != sP3) | ($true != sP2)), 1.27/0.53 inference(cnf_transformation,[],[f18])). 1.27/0.53 tff(f84,plain,( 1.27/0.53 ( ! [X7] : ((cR @ sK13 = cR @ X7) | ($true != sP5) | ($true != sP7)) )), 1.27/0.53 inference(cnf_transformation,[],[f25])). 1.27/0.53 tff(f85,plain,( 1.27/0.53 ( ! [X4] : (($true = sP5) | (cR @ X4 != cR @ (sK12 @ X4)) | ($true != sP7)) )), 1.27/0.53 inference(cnf_transformation,[],[f25])). 1.27/0.53 tff(f86,plain,( 1.27/0.53 ( ! [X3] : (($true = sP7) | (cR @ sK11 = cR @ X3) | ($true = sP5)) )), 1.27/0.53 inference(cnf_transformation,[],[f25])). 1.27/0.53 tff(f87,plain,( 1.27/0.53 ( ! [X0] : (($true = sP7) | (cR @ X0 != cR @ (sK10 @ X0)) | ($true != sP5)) )), 1.27/0.53 inference(cnf_transformation,[],[f25])). 1.27/0.54 tff(f88,plain,( 1.27/0.54 ( ! [X7] : ((cS @ sK17 = cS @ X7) | ($true != sP4) | ($true != sP6)) )), 1.27/0.54 inference(cnf_transformation,[],[f32])). 1.27/0.54 tff(f89,plain,( 1.27/0.54 ( ! [X4] : (($true = sP4) | (cS @ X4 != cS @ (sK16 @ X4)) | ($true != sP6)) )), 1.27/0.54 inference(cnf_transformation,[],[f32])). 1.27/0.54 tff(f90,plain,( 1.27/0.54 ( ! [X3] : (($true = sP6) | (cS @ sK15 = cS @ X3) | ($true = sP4)) )), 1.27/0.54 inference(cnf_transformation,[],[f32])). 1.27/0.54 tff(f91,plain,( 1.27/0.54 ( ! [X0] : (($true = sP6) | (cS @ X0 != cS @ (sK14 @ X0)) | ($true != sP4)) )), 1.27/0.54 inference(cnf_transformation,[],[f32])). 1.27/0.54 tff(f92,plain,( 1.27/0.54 ( ! [X6,X7] : ((cP @ X6 = $true) | (cS @ X7 != $true) | ($true != sP5)) )), 1.27/0.54 inference(cnf_transformation,[],[f39])). 1.27/0.54 tff(f93,plain,( 1.27/0.54 (cS @ sK20 = $true) | (cP @ sK21 != $true) | ($true != sP5)), 1.27/0.54 inference(cnf_transformation,[],[f39])). 1.27/0.54 tff(f94,plain,( 1.27/0.54 ( ! [X2] : (($true = sP5) | (cP @ X2 = $true) | (cS @ sK19 = $true)) )), 1.27/0.54 inference(cnf_transformation,[],[f39])). 1.27/0.54 tff(f95,plain,( 1.27/0.54 ( ! [X1] : (($true = sP5) | (cP @ sK18 != $true) | (cS @ X1 != $true)) )), 1.27/0.54 inference(cnf_transformation,[],[f39])). 1.27/0.54 tff(f96,plain,( 1.27/0.54 ( ! [X6,X7] : ((cQ @ X6 = $true) | (cP @ X7 != $true) | ($true != sP4)) )), 1.27/0.54 inference(cnf_transformation,[],[f46])). 1.27/0.54 tff(f97,plain,( 1.27/0.54 (cP @ sK24 = $true) | (cQ @ sK25 != $true) | ($true != sP4)), 1.27/0.54 inference(cnf_transformation,[],[f46])). 1.27/0.54 tff(f98,plain,( 1.27/0.54 ( ! [X2] : (($true = sP4) | (cQ @ X2 = $true) | (cP @ sK23 = $true)) )), 1.27/0.54 inference(cnf_transformation,[],[f46])). 1.27/0.54 tff(f99,plain,( 1.27/0.54 ( ! [X1] : (($true = sP4) | (cQ @ sK22 != $true) | (cP @ X1 != $true)) )), 1.27/0.54 inference(cnf_transformation,[],[f46])). 1.27/0.54 tff(f100,plain,( 1.27/0.54 ( ! [X6] : (($true = sP1) | (cP @ X6 != cP @ (sK29 @ X6)) | ($true != sP3)) )), 1.27/0.54 inference(cnf_transformation,[],[f53])). 1.27/0.54 tff(f101,plain,( 1.27/0.54 ( ! [X5] : ((cP @ sK28 = cP @ X5) | ($true != sP1) | ($true != sP3)) )), 1.27/0.54 inference(cnf_transformation,[],[f53])). 1.27/0.54 tff(f102,plain,( 1.27/0.54 ( ! [X3] : (($true = sP3) | ($true = sP1) | (cP @ sK27 = cP @ X3)) )), 1.27/0.54 inference(cnf_transformation,[],[f53])). 1.27/0.54 tff(f103,plain,( 1.27/0.54 ( ! [X0] : (($true = sP3) | ($true != sP1) | (cP @ X0 != cP @ (sK26 @ X0))) )), 1.27/0.54 inference(cnf_transformation,[],[f53])). 1.27/0.54 tff(f104,plain,( 1.27/0.54 ( ! [X7] : ((cQ @ sK33 = cQ @ X7) | ($true != sP0) | ($true != sP2)) )), 1.27/0.54 inference(cnf_transformation,[],[f60])). 1.27/0.54 tff(f105,plain,( 1.27/0.54 ( ! [X4] : (($true = sP0) | (cQ @ X4 != cQ @ (sK32 @ X4)) | ($true != sP2)) )), 1.27/0.54 inference(cnf_transformation,[],[f60])). 1.27/0.54 tff(f106,plain,( 1.27/0.54 ( ! [X3] : (($true = sP2) | (cQ @ sK31 = cQ @ X3) | ($true = sP0)) )), 1.27/0.54 inference(cnf_transformation,[],[f60])). 1.27/0.54 tff(f107,plain,( 1.27/0.54 ( ! [X0] : (($true = sP2) | (cQ @ X0 != cQ @ (sK30 @ X0)) | ($true != sP0)) )), 1.27/0.54 inference(cnf_transformation,[],[f60])). 1.27/0.54 tff(f108,plain,( 1.27/0.54 (cQ @ sK36 = $true) | (cR @ sK37 != $true) | ($true != sP1)), 1.27/0.54 inference(cnf_transformation,[],[f67])). 1.27/0.54 tff(f109,plain,( 1.27/0.54 ( ! [X4,X5] : ((cR @ X4 = $true) | (cQ @ X5 != $true) | ($true != sP1)) )), 1.27/0.54 inference(cnf_transformation,[],[f67])). 1.27/0.54 tff(f110,plain,( 1.27/0.54 ( ! [X3] : (($true = sP1) | (cQ @ sK35 = $true) | (cR @ X3 = $true)) )), 1.27/0.54 inference(cnf_transformation,[],[f67])). 1.27/0.54 tff(f111,plain,( 1.27/0.54 ( ! [X0] : (($true = sP1) | (cQ @ X0 != $true) | (cR @ sK34 != $true)) )), 1.27/0.54 inference(cnf_transformation,[],[f67])). 1.27/0.54 tff(f112,plain,( 1.27/0.54 ( ! [X6,X7] : ((cS @ X6 = $true) | (cR @ X7 != $true) | ($true != sP0)) )), 1.27/0.54 inference(cnf_transformation,[],[f74])). 1.27/0.54 tff(f113,plain,( 1.27/0.54 (cR @ sK40 = $true) | (cS @ sK41 != $true) | ($true != sP0)), 1.27/0.54 inference(cnf_transformation,[],[f74])). 1.27/0.54 tff(f114,plain,( 1.27/0.54 ( ! [X2] : (($true = sP0) | (cS @ X2 = $true) | (cR @ sK39 = $true)) )), 1.27/0.54 inference(cnf_transformation,[],[f74])). 1.27/0.54 tff(f115,plain,( 1.27/0.54 ( ! [X1] : (($true = sP0) | (cS @ sK38 != $true) | (cR @ X1 != $true)) )), 1.27/0.54 inference(cnf_transformation,[],[f74])). 1.27/0.54 tff(f116,plain,( 1.27/0.54 ($true = sP9) | ($true = sP8)), 1.27/0.54 inference(cnf_transformation,[],[f75])). 1.27/0.54 tff(f117,plain,( 1.27/0.54 ($true != sP9) | ($true != sP8)), 1.27/0.54 inference(cnf_transformation,[],[f75])). 1.27/0.54 tff(f118,plain,( 1.27/0.54 ( ! [X7] : ((cQ @ sK33 = $true) | ($true != sP0) | ($true != sP2) | (cQ @ X7 = $false)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f104])). 1.27/0.54 tff(f119,plain,( 1.27/0.54 ( ! [X7] : ((cQ @ sK33 = $false) | ($true != sP0) | ($true != sP2) | (cQ @ X7 = $true)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f104])). 1.27/0.54 tff(f120,plain,( 1.27/0.54 ( ! [X4] : (($true = sP0) | (cQ @ X4 = $true) | ($true != sP2) | (cQ @ (sK32 @ X4) = $true)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f105])). 1.27/0.54 tff(f121,plain,( 1.27/0.54 ( ! [X4] : (($true = sP0) | (cQ @ X4 = $false) | ($true != sP2) | (cQ @ (sK32 @ X4) = $false)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f105])). 1.27/0.54 tff(f122,plain,( 1.27/0.54 ( ! [X3] : (($true = sP2) | (cQ @ sK31 = $true) | ($true = sP0) | (cQ @ X3 = $false)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f106])). 1.27/0.54 tff(f123,plain,( 1.27/0.54 ( ! [X3] : (($true = sP2) | (cQ @ sK31 = $false) | ($true = sP0) | (cQ @ X3 = $true)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f106])). 1.27/0.54 tff(f124,plain,( 1.27/0.54 ( ! [X0] : (($true = sP2) | (cQ @ X0 = $true) | ($true != sP0) | (cQ @ (sK30 @ X0) = $true)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f107])). 1.27/0.54 tff(f125,plain,( 1.27/0.54 ( ! [X0] : (($true = sP2) | (cQ @ X0 = $false) | ($true != sP0) | (cQ @ (sK30 @ X0) = $false)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f107])). 1.27/0.54 tff(f126,plain,( 1.27/0.54 ( ! [X6] : (($true = sP1) | (cP @ X6 = $true) | ($true != sP3) | (cP @ (sK29 @ X6) = $true)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f100])). 1.27/0.54 tff(f127,plain,( 1.27/0.54 ( ! [X6] : (($true = sP1) | (cP @ X6 = $false) | ($true != sP3) | (cP @ (sK29 @ X6) = $false)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f100])). 1.27/0.54 tff(f128,plain,( 1.27/0.54 ( ! [X5] : ((cP @ sK28 = $true) | ($true != sP1) | ($true != sP3) | (cP @ X5 = $false)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f101])). 1.27/0.54 tff(f129,plain,( 1.27/0.54 ( ! [X5] : ((cP @ sK28 = $false) | ($true != sP1) | ($true != sP3) | (cP @ X5 = $true)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f101])). 1.27/0.54 tff(f130,plain,( 1.27/0.54 ( ! [X3] : (($true = sP3) | ($true = sP1) | (cP @ sK27 = $true) | (cP @ X3 = $false)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f102])). 1.27/0.54 tff(f131,plain,( 1.27/0.54 ( ! [X3] : (($true = sP3) | ($true = sP1) | (cP @ sK27 = $false) | (cP @ X3 = $true)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f102])). 1.27/0.54 tff(f132,plain,( 1.27/0.54 ( ! [X0] : (($true = sP3) | ($true != sP1) | (cP @ X0 = $true) | (cP @ (sK26 @ X0) = $true)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f103])). 1.27/0.54 tff(f133,plain,( 1.27/0.54 ( ! [X0] : (($true = sP3) | ($true != sP1) | (cP @ X0 = $false) | (cP @ (sK26 @ X0) = $false)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f103])). 1.27/0.54 tff(f134,plain,( 1.27/0.54 ( ! [X7] : ((cS @ sK17 = $true) | ($true != sP4) | ($true != sP6) | (cS @ X7 = $false)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f88])). 1.27/0.54 tff(f135,plain,( 1.27/0.54 ( ! [X7] : ((cS @ sK17 = $false) | ($true != sP4) | ($true != sP6) | (cS @ X7 = $true)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f88])). 1.27/0.54 tff(f136,plain,( 1.27/0.54 ( ! [X4] : (($true = sP4) | (cS @ X4 = $true) | ($true != sP6) | (cS @ (sK16 @ X4) = $true)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f89])). 1.27/0.54 tff(f137,plain,( 1.27/0.54 ( ! [X4] : (($true = sP4) | (cS @ X4 = $false) | ($true != sP6) | (cS @ (sK16 @ X4) = $false)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f89])). 1.27/0.54 tff(f138,plain,( 1.27/0.54 ( ! [X3] : (($true = sP6) | (cS @ sK15 = $true) | ($true = sP4) | (cS @ X3 = $false)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f90])). 1.27/0.54 tff(f139,plain,( 1.27/0.54 ( ! [X3] : (($true = sP6) | (cS @ sK15 = $false) | ($true = sP4) | (cS @ X3 = $true)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f90])). 1.27/0.54 tff(f140,plain,( 1.27/0.54 ( ! [X0] : (($true = sP6) | (cS @ X0 = $true) | ($true != sP4) | (cS @ (sK14 @ X0) = $true)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f91])). 1.27/0.54 tff(f141,plain,( 1.27/0.54 ( ! [X0] : (($true = sP6) | (cS @ X0 = $false) | ($true != sP4) | (cS @ (sK14 @ X0) = $false)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f91])). 1.27/0.54 tff(f142,plain,( 1.27/0.54 ( ! [X7] : ((cR @ sK13 = $true) | ($true != sP5) | ($true != sP7) | (cR @ X7 = $false)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f84])). 1.27/0.54 tff(f143,plain,( 1.27/0.54 ( ! [X7] : ((cR @ sK13 = $false) | ($true != sP5) | ($true != sP7) | (cR @ X7 = $true)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f84])). 1.27/0.54 tff(f144,plain,( 1.27/0.54 ( ! [X4] : (($true = sP5) | (cR @ X4 = $true) | ($true != sP7) | (cR @ (sK12 @ X4) = $true)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f85])). 1.27/0.54 tff(f145,plain,( 1.27/0.54 ( ! [X4] : (($true = sP5) | (cR @ X4 = $false) | ($true != sP7) | (cR @ (sK12 @ X4) = $false)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f85])). 1.27/0.54 tff(f146,plain,( 1.27/0.54 ( ! [X3] : (($true = sP7) | (cR @ sK11 = $true) | ($true = sP5) | (cR @ X3 = $false)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f86])). 1.27/0.54 tff(f147,plain,( 1.27/0.54 ( ! [X3] : (($true = sP7) | (cR @ sK11 = $false) | ($true = sP5) | (cR @ X3 = $true)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f86])). 1.27/0.54 tff(f148,plain,( 1.27/0.54 ( ! [X0] : (($true = sP7) | (cR @ X0 = $true) | ($true != sP5) | (cR @ (sK10 @ X0) = $true)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f87])). 1.27/0.54 tff(f149,plain,( 1.27/0.54 ( ! [X0] : (($true = sP7) | (cR @ X0 = $false) | ($true != sP5) | (cR @ (sK10 @ X0) = $false)) )), 1.27/0.54 inference(binary_proxy_clausification,[],[f87])). 1.27/0.54 tff(f151,plain,( 1.27/0.54 spl42_0 <=> ($true = sP6)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_0])])). 1.27/0.54 tff(f154,plain,( 1.27/0.54 spl42_1 <=> ($true != sP6)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_1])])). 1.27/0.54 tff(f157,plain,( 1.27/0.54 spl42_2 <=> ($true = sP7)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_2])])). 1.27/0.54 tff(f160,plain,( 1.27/0.54 spl42_3 <=> ($true != sP7)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_3])])). 1.27/0.54 tff(f163,plain,( 1.27/0.54 spl42_5 <=> ($true != sP9)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_5])])). 1.27/0.54 tff(f166,plain,( 1.27/0.54 spl42_4 <=> ($true = sP9)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_4])])). 1.27/0.54 tff(f168,plain,( 1.27/0.54 ~spl42_1 | ~spl42_3 | spl42_4), 1.27/0.54 inference(avatar_split_clause,[],[f79,f166,f160,f154])). 1.27/0.54 tff(f169,plain,( 1.27/0.54 spl42_0 | spl42_2 | spl42_4), 1.27/0.54 inference(avatar_split_clause,[],[f78,f166,f157,f151])). 1.27/0.54 tff(f170,plain,( 1.27/0.54 ~spl42_5 | ~spl42_3 | spl42_0), 1.27/0.54 inference(avatar_split_clause,[],[f77,f151,f160,f163])). 1.27/0.54 tff(f171,plain,( 1.27/0.54 ~spl42_5 | ~spl42_1 | spl42_2), 1.27/0.54 inference(avatar_split_clause,[],[f76,f157,f154,f163])). 1.27/0.54 tff(f173,plain,( 1.27/0.54 spl42_6 <=> ($true = sP2)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_6])])). 1.27/0.54 tff(f176,plain,( 1.27/0.54 spl42_7 <=> ($true != sP2)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_7])])). 1.27/0.54 tff(f179,plain,( 1.27/0.54 spl42_8 <=> ($true = sP3)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_8])])). 1.27/0.54 tff(f182,plain,( 1.27/0.54 spl42_9 <=> ($true != sP3)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_9])])). 1.27/0.54 tff(f185,plain,( 1.27/0.54 spl42_11 <=> ($true != sP8)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_11])])). 1.27/0.54 tff(f188,plain,( 1.27/0.54 spl42_10 <=> ($true = sP8)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_10])])). 1.27/0.54 tff(f190,plain,( 1.27/0.54 ~spl42_7 | ~spl42_9 | spl42_10), 1.27/0.54 inference(avatar_split_clause,[],[f83,f188,f182,f176])). 1.27/0.54 tff(f191,plain,( 1.27/0.54 spl42_6 | spl42_8 | spl42_10), 1.27/0.54 inference(avatar_split_clause,[],[f82,f188,f179,f173])). 1.27/0.54 tff(f192,plain,( 1.27/0.54 ~spl42_11 | ~spl42_9 | spl42_6), 1.27/0.54 inference(avatar_split_clause,[],[f81,f173,f182,f185])). 1.27/0.54 tff(f193,plain,( 1.27/0.54 ~spl42_11 | ~spl42_7 | spl42_8), 1.27/0.54 inference(avatar_split_clause,[],[f80,f179,f176,f185])). 1.27/0.54 tff(f195,plain,( 1.27/0.54 spl42_12 <=> ($true = sP5)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_12])])). 1.27/0.54 tff(f198,plain,( 1.27/0.54 spl42_13 <=> ($true != sP5)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_13])])). 1.27/0.54 tff(f201,plain,( 1.27/0.54 spl42_14 <=> ! [X0] : ((cR @ X0 = $true) | (cR @ (sK10 @ X0) = $true))), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_14])])). 1.27/0.54 tff(f202,plain,( 1.27/0.54 ( ! [X0] : ((cR @ X0 = $true) | (cR @ (sK10 @ X0) = $true)) ) | ~spl42_14), 1.27/0.54 inference(avatar_component_clause,[],[f201])). 1.27/0.54 tff(f203,plain,( 1.27/0.54 ~spl42_13 | spl42_14 | spl42_2), 1.27/0.54 inference(avatar_split_clause,[],[f148,f157,f201,f198])). 1.27/0.54 tff(f205,plain,( 1.27/0.54 spl42_16 <=> ! [X0] : ((cR @ X0 = $false) | (cR @ (sK10 @ X0) = $false))), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_16])])). 1.27/0.54 tff(f206,plain,( 1.27/0.54 ( ! [X0] : ((cR @ X0 = $false) | (cR @ (sK10 @ X0) = $false)) ) | ~spl42_16), 1.27/0.54 inference(avatar_component_clause,[],[f205])). 1.27/0.54 tff(f207,plain,( 1.27/0.54 ~spl42_13 | spl42_16 | spl42_2), 1.27/0.54 inference(avatar_split_clause,[],[f149,f157,f205,f198])). 1.27/0.54 tff(f209,plain,( 1.27/0.54 spl42_18 <=> ! [X3] : (cR @ X3 = $false)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_18])])). 1.27/0.54 tff(f210,plain,( 1.27/0.54 ( ! [X3] : ((cR @ X3 = $false)) ) | ~spl42_18), 1.27/0.54 inference(avatar_component_clause,[],[f209])). 1.27/0.54 tff(f215,plain,( 1.27/0.54 spl42_20 <=> (cR @ sK11 = $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_20])])). 1.27/0.54 tff(f216,plain,( 1.27/0.54 (cR @ sK11 = $true) | ~spl42_20), 1.27/0.54 inference(avatar_component_clause,[],[f215])). 1.27/0.54 tff(f217,plain,( 1.27/0.54 spl42_18 | spl42_12 | spl42_20 | spl42_2), 1.27/0.54 inference(avatar_split_clause,[],[f146,f157,f215,f195,f209])). 1.27/0.54 tff(f219,plain,( 1.27/0.54 spl42_22 <=> ! [X3] : (cR @ X3 = $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_22])])). 1.27/0.54 tff(f220,plain,( 1.27/0.54 ( ! [X3] : ((cR @ X3 = $true)) ) | ~spl42_22), 1.27/0.54 inference(avatar_component_clause,[],[f219])). 1.27/0.54 tff(f225,plain,( 1.27/0.54 spl42_24 <=> (cR @ sK11 = $false)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_24])])). 1.27/0.54 tff(f226,plain,( 1.27/0.54 (cR @ sK11 = $false) | ~spl42_24), 1.27/0.54 inference(avatar_component_clause,[],[f225])). 1.27/0.54 tff(f227,plain,( 1.27/0.54 spl42_22 | spl42_12 | spl42_24 | spl42_2), 1.27/0.54 inference(avatar_split_clause,[],[f147,f157,f225,f195,f219])). 1.27/0.54 tff(f229,plain,( 1.27/0.54 spl42_26 <=> ! [X4] : ((cR @ X4 = $true) | (cR @ (sK12 @ X4) = $true))), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_26])])). 1.27/0.54 tff(f230,plain,( 1.27/0.54 ( ! [X4] : ((cR @ X4 = $true) | (cR @ (sK12 @ X4) = $true)) ) | ~spl42_26), 1.27/0.54 inference(avatar_component_clause,[],[f229])). 1.27/0.54 tff(f231,plain,( 1.27/0.54 ~spl42_3 | spl42_26 | spl42_12), 1.27/0.54 inference(avatar_split_clause,[],[f144,f195,f229,f160])). 1.27/0.54 tff(f233,plain,( 1.27/0.54 spl42_28 <=> ! [X4] : ((cR @ X4 = $false) | (cR @ (sK12 @ X4) = $false))), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_28])])). 1.27/0.54 tff(f234,plain,( 1.27/0.54 ( ! [X4] : ((cR @ X4 = $false) | (cR @ (sK12 @ X4) = $false)) ) | ~spl42_28), 1.27/0.54 inference(avatar_component_clause,[],[f233])). 1.27/0.54 tff(f235,plain,( 1.27/0.54 ~spl42_3 | spl42_28 | spl42_12), 1.27/0.54 inference(avatar_split_clause,[],[f145,f195,f233,f160])). 1.27/0.54 tff(f240,plain,( 1.27/0.54 spl42_30 <=> (cR @ sK13 = $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_30])])). 1.27/0.54 tff(f241,plain,( 1.27/0.54 (cR @ sK13 = $true) | ~spl42_30), 1.27/0.54 inference(avatar_component_clause,[],[f240])). 1.27/0.54 tff(f242,plain,( 1.27/0.54 spl42_18 | ~spl42_3 | ~spl42_13 | spl42_30), 1.27/0.54 inference(avatar_split_clause,[],[f142,f240,f198,f160,f209])). 1.27/0.54 tff(f247,plain,( 1.27/0.54 spl42_32 <=> (cR @ sK13 = $false)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_32])])). 1.27/0.54 tff(f248,plain,( 1.27/0.54 (cR @ sK13 = $false) | ~spl42_32), 1.27/0.54 inference(avatar_component_clause,[],[f247])). 1.27/0.54 tff(f249,plain,( 1.27/0.54 spl42_22 | ~spl42_3 | ~spl42_13 | spl42_32), 1.27/0.54 inference(avatar_split_clause,[],[f143,f247,f198,f160,f219])). 1.27/0.54 tff(f251,plain,( 1.27/0.54 spl42_34 <=> ($true = sP4)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_34])])). 1.27/0.54 tff(f254,plain,( 1.27/0.54 spl42_35 <=> ($true != sP4)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_35])])). 1.27/0.54 tff(f257,plain,( 1.27/0.54 spl42_36 <=> ! [X0] : ((cS @ X0 = $true) | (cS @ (sK14 @ X0) = $true))), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_36])])). 1.27/0.54 tff(f258,plain,( 1.27/0.54 ( ! [X0] : ((cS @ X0 = $true) | (cS @ (sK14 @ X0) = $true)) ) | ~spl42_36), 1.27/0.54 inference(avatar_component_clause,[],[f257])). 1.27/0.54 tff(f259,plain,( 1.27/0.54 ~spl42_35 | spl42_36 | spl42_0), 1.27/0.54 inference(avatar_split_clause,[],[f140,f151,f257,f254])). 1.27/0.54 tff(f261,plain,( 1.27/0.54 spl42_38 <=> ! [X0] : ((cS @ X0 = $false) | (cS @ (sK14 @ X0) = $false))), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_38])])). 1.27/0.54 tff(f262,plain,( 1.27/0.54 ( ! [X0] : ((cS @ X0 = $false) | (cS @ (sK14 @ X0) = $false)) ) | ~spl42_38), 1.27/0.54 inference(avatar_component_clause,[],[f261])). 1.27/0.54 tff(f263,plain,( 1.27/0.54 ~spl42_35 | spl42_38 | spl42_0), 1.27/0.54 inference(avatar_split_clause,[],[f141,f151,f261,f254])). 1.27/0.54 tff(f265,plain,( 1.27/0.54 spl42_40 <=> ! [X3] : (cS @ X3 = $false)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_40])])). 1.27/0.54 tff(f266,plain,( 1.27/0.54 ( ! [X3] : ((cS @ X3 = $false)) ) | ~spl42_40), 1.27/0.54 inference(avatar_component_clause,[],[f265])). 1.27/0.54 tff(f271,plain,( 1.27/0.54 spl42_42 <=> (cS @ sK15 = $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_42])])). 1.27/0.54 tff(f272,plain,( 1.27/0.54 (cS @ sK15 = $true) | ~spl42_42), 1.27/0.54 inference(avatar_component_clause,[],[f271])). 1.27/0.54 tff(f273,plain,( 1.27/0.54 spl42_40 | spl42_34 | spl42_42 | spl42_0), 1.27/0.54 inference(avatar_split_clause,[],[f138,f151,f271,f251,f265])). 1.27/0.54 tff(f275,plain,( 1.27/0.54 spl42_44 <=> ! [X3] : (cS @ X3 = $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_44])])). 1.27/0.54 tff(f276,plain,( 1.27/0.54 ( ! [X3] : ((cS @ X3 = $true)) ) | ~spl42_44), 1.27/0.54 inference(avatar_component_clause,[],[f275])). 1.27/0.54 tff(f281,plain,( 1.27/0.54 spl42_46 <=> (cS @ sK15 = $false)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_46])])). 1.27/0.54 tff(f282,plain,( 1.27/0.54 (cS @ sK15 = $false) | ~spl42_46), 1.27/0.54 inference(avatar_component_clause,[],[f281])). 1.27/0.54 tff(f283,plain,( 1.27/0.54 spl42_44 | spl42_34 | spl42_46 | spl42_0), 1.27/0.54 inference(avatar_split_clause,[],[f139,f151,f281,f251,f275])). 1.27/0.54 tff(f285,plain,( 1.27/0.54 spl42_48 <=> ! [X4] : ((cS @ X4 = $true) | (cS @ (sK16 @ X4) = $true))), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_48])])). 1.27/0.54 tff(f286,plain,( 1.27/0.54 ( ! [X4] : ((cS @ X4 = $true) | (cS @ (sK16 @ X4) = $true)) ) | ~spl42_48), 1.27/0.54 inference(avatar_component_clause,[],[f285])). 1.27/0.54 tff(f287,plain,( 1.27/0.54 ~spl42_1 | spl42_48 | spl42_34), 1.27/0.54 inference(avatar_split_clause,[],[f136,f251,f285,f154])). 1.27/0.54 tff(f289,plain,( 1.27/0.54 spl42_50 <=> ! [X4] : ((cS @ X4 = $false) | (cS @ (sK16 @ X4) = $false))), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_50])])). 1.27/0.54 tff(f290,plain,( 1.27/0.54 ( ! [X4] : ((cS @ X4 = $false) | (cS @ (sK16 @ X4) = $false)) ) | ~spl42_50), 1.27/0.54 inference(avatar_component_clause,[],[f289])). 1.27/0.54 tff(f291,plain,( 1.27/0.54 ~spl42_1 | spl42_50 | spl42_34), 1.27/0.54 inference(avatar_split_clause,[],[f137,f251,f289,f154])). 1.27/0.54 tff(f296,plain,( 1.27/0.54 spl42_52 <=> (cS @ sK17 = $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_52])])). 1.27/0.54 tff(f297,plain,( 1.27/0.54 (cS @ sK17 = $true) | ~spl42_52), 1.27/0.54 inference(avatar_component_clause,[],[f296])). 1.27/0.54 tff(f298,plain,( 1.27/0.54 spl42_40 | ~spl42_1 | ~spl42_35 | spl42_52), 1.27/0.54 inference(avatar_split_clause,[],[f134,f296,f254,f154,f265])). 1.27/0.54 tff(f303,plain,( 1.27/0.54 spl42_54 <=> (cS @ sK17 = $false)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_54])])). 1.27/0.54 tff(f304,plain,( 1.27/0.54 (cS @ sK17 = $false) | ~spl42_54), 1.27/0.54 inference(avatar_component_clause,[],[f303])). 1.27/0.54 tff(f305,plain,( 1.27/0.54 spl42_44 | ~spl42_1 | ~spl42_35 | spl42_54), 1.27/0.54 inference(avatar_split_clause,[],[f135,f303,f254,f154,f275])). 1.27/0.54 tff(f307,plain,( 1.27/0.54 spl42_56 <=> ! [X1] : (cS @ X1 != $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_56])])). 1.27/0.54 tff(f308,plain,( 1.27/0.54 ( ! [X1] : ((cS @ X1 != $true)) ) | ~spl42_56), 1.27/0.54 inference(avatar_component_clause,[],[f307])). 1.27/0.54 tff(f313,plain,( 1.27/0.54 spl42_59 <=> (cP @ sK18 != $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_59])])). 1.27/0.54 tff(f314,plain,( 1.27/0.54 (cP @ sK18 != $true) | ~spl42_59), 1.27/0.54 inference(avatar_component_clause,[],[f313])). 1.27/0.54 tff(f315,plain,( 1.27/0.54 spl42_56 | ~spl42_59 | spl42_12), 1.27/0.54 inference(avatar_split_clause,[],[f95,f195,f313,f307])). 1.27/0.54 tff(f320,plain,( 1.27/0.54 spl42_60 <=> (cS @ sK19 = $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_60])])). 1.27/0.54 tff(f321,plain,( 1.27/0.54 (cS @ sK19 = $true) | ~spl42_60), 1.27/0.54 inference(avatar_component_clause,[],[f320])). 1.27/0.54 tff(f323,plain,( 1.27/0.54 spl42_62 <=> ! [X2] : (cP @ X2 = $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_62])])). 1.27/0.54 tff(f324,plain,( 1.27/0.54 ( ! [X2] : ((cP @ X2 = $true)) ) | ~spl42_62), 1.27/0.54 inference(avatar_component_clause,[],[f323])). 1.27/0.54 tff(f325,plain,( 1.27/0.54 spl42_60 | spl42_62 | spl42_12), 1.27/0.54 inference(avatar_split_clause,[],[f94,f195,f323,f320])). 1.27/0.54 tff(f330,plain,( 1.27/0.54 spl42_65 <=> (cP @ sK21 != $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_65])])). 1.27/0.54 tff(f331,plain,( 1.27/0.54 (cP @ sK21 != $true) | ~spl42_65), 1.27/0.54 inference(avatar_component_clause,[],[f330])). 1.27/0.54 tff(f336,plain,( 1.27/0.54 spl42_66 <=> (cS @ sK20 = $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_66])])). 1.27/0.54 tff(f337,plain,( 1.27/0.54 (cS @ sK20 = $true) | ~spl42_66), 1.27/0.54 inference(avatar_component_clause,[],[f336])). 1.27/0.54 tff(f338,plain,( 1.27/0.54 ~spl42_13 | ~spl42_65 | spl42_66), 1.27/0.54 inference(avatar_split_clause,[],[f93,f336,f330,f198])). 1.27/0.54 tff(f339,plain,( 1.27/0.54 ~spl42_13 | spl42_56 | spl42_62), 1.27/0.54 inference(avatar_split_clause,[],[f92,f323,f307,f198])). 1.27/0.54 tff(f341,plain,( 1.27/0.54 spl42_68 <=> ! [X1] : (cP @ X1 != $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_68])])). 1.27/0.54 tff(f342,plain,( 1.27/0.54 ( ! [X1] : ((cP @ X1 != $true)) ) | ~spl42_68), 1.27/0.54 inference(avatar_component_clause,[],[f341])). 1.27/0.54 tff(f347,plain,( 1.27/0.54 spl42_71 <=> (cQ @ sK22 != $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_71])])). 1.27/0.54 tff(f348,plain,( 1.27/0.54 (cQ @ sK22 != $true) | ~spl42_71), 1.27/0.54 inference(avatar_component_clause,[],[f347])). 1.27/0.54 tff(f349,plain,( 1.27/0.54 spl42_68 | ~spl42_71 | spl42_34), 1.27/0.54 inference(avatar_split_clause,[],[f99,f251,f347,f341])). 1.27/0.54 tff(f354,plain,( 1.27/0.54 spl42_72 <=> (cP @ sK23 = $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_72])])). 1.27/0.54 tff(f355,plain,( 1.27/0.54 (cP @ sK23 = $true) | ~spl42_72), 1.27/0.54 inference(avatar_component_clause,[],[f354])). 1.27/0.54 tff(f357,plain,( 1.27/0.54 spl42_74 <=> ! [X2] : (cQ @ X2 = $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_74])])). 1.27/0.54 tff(f358,plain,( 1.27/0.54 ( ! [X2] : ((cQ @ X2 = $true)) ) | ~spl42_74), 1.27/0.54 inference(avatar_component_clause,[],[f357])). 1.27/0.54 tff(f359,plain,( 1.27/0.54 spl42_72 | spl42_74 | spl42_34), 1.27/0.54 inference(avatar_split_clause,[],[f98,f251,f357,f354])). 1.27/0.54 tff(f364,plain,( 1.27/0.54 spl42_77 <=> (cQ @ sK25 != $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_77])])). 1.27/0.54 tff(f365,plain,( 1.27/0.54 (cQ @ sK25 != $true) | ~spl42_77), 1.27/0.54 inference(avatar_component_clause,[],[f364])). 1.27/0.54 tff(f370,plain,( 1.27/0.54 spl42_78 <=> (cP @ sK24 = $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_78])])). 1.27/0.54 tff(f371,plain,( 1.27/0.54 (cP @ sK24 = $true) | ~spl42_78), 1.27/0.54 inference(avatar_component_clause,[],[f370])). 1.27/0.54 tff(f372,plain,( 1.27/0.54 ~spl42_35 | ~spl42_77 | spl42_78), 1.27/0.54 inference(avatar_split_clause,[],[f97,f370,f364,f254])). 1.27/0.54 tff(f373,plain,( 1.27/0.54 ~spl42_35 | spl42_68 | spl42_74), 1.27/0.54 inference(avatar_split_clause,[],[f96,f357,f341,f254])). 1.27/0.54 tff(f375,plain,( 1.27/0.54 spl42_80 <=> ! [X0] : ((cP @ X0 = $true) | (cP @ (sK26 @ X0) = $true))), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_80])])). 1.27/0.54 tff(f376,plain,( 1.27/0.54 ( ! [X0] : ((cP @ X0 = $true) | (cP @ (sK26 @ X0) = $true)) ) | ~spl42_80), 1.27/0.54 inference(avatar_component_clause,[],[f375])). 1.27/0.54 tff(f378,plain,( 1.27/0.54 spl42_82 <=> ($true = sP1)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_82])])). 1.27/0.54 tff(f381,plain,( 1.27/0.54 spl42_83 <=> ($true != sP1)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_83])])). 1.27/0.54 tff(f383,plain,( 1.27/0.54 spl42_80 | ~spl42_83 | spl42_8), 1.27/0.54 inference(avatar_split_clause,[],[f132,f179,f381,f375])). 1.27/0.54 tff(f385,plain,( 1.27/0.54 spl42_84 <=> ! [X0] : ((cP @ X0 = $false) | (cP @ (sK26 @ X0) = $false))), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_84])])). 1.27/0.54 tff(f386,plain,( 1.27/0.54 ( ! [X0] : ((cP @ X0 = $false) | (cP @ (sK26 @ X0) = $false)) ) | ~spl42_84), 1.27/0.54 inference(avatar_component_clause,[],[f385])). 1.27/0.54 tff(f387,plain,( 1.27/0.54 spl42_84 | ~spl42_83 | spl42_8), 1.27/0.54 inference(avatar_split_clause,[],[f133,f179,f381,f385])). 1.27/0.54 tff(f389,plain,( 1.27/0.54 spl42_86 <=> ! [X3] : (cP @ X3 = $false)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_86])])). 1.27/0.54 tff(f390,plain,( 1.27/0.54 ( ! [X3] : ((cP @ X3 = $false)) ) | ~spl42_86), 1.27/0.54 inference(avatar_component_clause,[],[f389])). 1.27/0.54 tff(f395,plain,( 1.27/0.54 spl42_88 <=> (cP @ sK27 = $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_88])])). 1.27/0.54 tff(f396,plain,( 1.27/0.54 (cP @ sK27 = $true) | ~spl42_88), 1.27/0.54 inference(avatar_component_clause,[],[f395])). 1.27/0.54 tff(f397,plain,( 1.27/0.54 spl42_86 | spl42_88 | spl42_82 | spl42_8), 1.27/0.54 inference(avatar_split_clause,[],[f130,f179,f378,f395,f389])). 1.27/0.54 tff(f402,plain,( 1.27/0.54 spl42_90 <=> (cP @ sK27 = $false)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_90])])). 1.27/0.54 tff(f403,plain,( 1.27/0.54 (cP @ sK27 = $false) | ~spl42_90), 1.27/0.54 inference(avatar_component_clause,[],[f402])). 1.27/0.54 tff(f404,plain,( 1.27/0.54 spl42_62 | spl42_90 | spl42_82 | spl42_8), 1.27/0.54 inference(avatar_split_clause,[],[f131,f179,f378,f402,f323])). 1.27/0.54 tff(f409,plain,( 1.27/0.54 spl42_92 <=> (cP @ sK28 = $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_92])])). 1.27/0.54 tff(f410,plain,( 1.27/0.54 (cP @ sK28 = $true) | ~spl42_92), 1.27/0.54 inference(avatar_component_clause,[],[f409])). 1.27/0.54 tff(f411,plain,( 1.27/0.54 spl42_86 | ~spl42_9 | ~spl42_83 | spl42_92), 1.27/0.54 inference(avatar_split_clause,[],[f128,f409,f381,f182,f389])). 1.27/0.54 tff(f416,plain,( 1.27/0.54 spl42_94 <=> (cP @ sK28 = $false)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_94])])). 1.27/0.54 tff(f417,plain,( 1.27/0.54 (cP @ sK28 = $false) | ~spl42_94), 1.27/0.54 inference(avatar_component_clause,[],[f416])). 1.27/0.54 tff(f418,plain,( 1.27/0.54 spl42_62 | ~spl42_9 | ~spl42_83 | spl42_94), 1.27/0.54 inference(avatar_split_clause,[],[f129,f416,f381,f182,f323])). 1.27/0.54 tff(f420,plain,( 1.27/0.54 spl42_96 <=> ! [X6] : ((cP @ X6 = $true) | (cP @ (sK29 @ X6) = $true))), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_96])])). 1.27/0.54 tff(f421,plain,( 1.27/0.54 ( ! [X6] : ((cP @ X6 = $true) | (cP @ (sK29 @ X6) = $true)) ) | ~spl42_96), 1.27/0.54 inference(avatar_component_clause,[],[f420])). 1.27/0.54 tff(f422,plain,( 1.27/0.54 ~spl42_9 | spl42_96 | spl42_82), 1.27/0.54 inference(avatar_split_clause,[],[f126,f378,f420,f182])). 1.27/0.54 tff(f424,plain,( 1.27/0.54 spl42_98 <=> ! [X6] : ((cP @ X6 = $false) | (cP @ (sK29 @ X6) = $false))), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_98])])). 1.27/0.54 tff(f425,plain,( 1.27/0.54 ( ! [X6] : ((cP @ X6 = $false) | (cP @ (sK29 @ X6) = $false)) ) | ~spl42_98), 1.27/0.54 inference(avatar_component_clause,[],[f424])). 1.27/0.54 tff(f426,plain,( 1.27/0.54 ~spl42_9 | spl42_98 | spl42_82), 1.27/0.54 inference(avatar_split_clause,[],[f127,f378,f424,f182])). 1.27/0.54 tff(f428,plain,( 1.27/0.54 spl42_100 <=> ($true = sP0)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_100])])). 1.27/0.54 tff(f431,plain,( 1.27/0.54 spl42_101 <=> ($true != sP0)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_101])])). 1.27/0.54 tff(f434,plain,( 1.27/0.54 spl42_102 <=> ! [X0] : ((cQ @ X0 = $true) | (cQ @ (sK30 @ X0) = $true))), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_102])])). 1.27/0.54 tff(f435,plain,( 1.27/0.54 ( ! [X0] : ((cQ @ X0 = $true) | (cQ @ (sK30 @ X0) = $true)) ) | ~spl42_102), 1.27/0.54 inference(avatar_component_clause,[],[f434])). 1.27/0.54 tff(f436,plain,( 1.27/0.54 ~spl42_101 | spl42_102 | spl42_6), 1.27/0.54 inference(avatar_split_clause,[],[f124,f173,f434,f431])). 1.27/0.54 tff(f438,plain,( 1.27/0.54 spl42_104 <=> ! [X0] : ((cQ @ X0 = $false) | (cQ @ (sK30 @ X0) = $false))), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_104])])). 1.27/0.54 tff(f439,plain,( 1.27/0.54 ( ! [X0] : ((cQ @ X0 = $false) | (cQ @ (sK30 @ X0) = $false)) ) | ~spl42_104), 1.27/0.54 inference(avatar_component_clause,[],[f438])). 1.27/0.54 tff(f440,plain,( 1.27/0.54 ~spl42_101 | spl42_104 | spl42_6), 1.27/0.54 inference(avatar_split_clause,[],[f125,f173,f438,f431])). 1.27/0.54 tff(f442,plain,( 1.27/0.54 spl42_106 <=> ! [X3] : (cQ @ X3 = $false)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_106])])). 1.27/0.54 tff(f443,plain,( 1.27/0.54 ( ! [X3] : ((cQ @ X3 = $false)) ) | ~spl42_106), 1.27/0.54 inference(avatar_component_clause,[],[f442])). 1.27/0.54 tff(f448,plain,( 1.27/0.54 spl42_108 <=> (cQ @ sK31 = $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_108])])). 1.27/0.54 tff(f449,plain,( 1.27/0.54 (cQ @ sK31 = $true) | ~spl42_108), 1.27/0.54 inference(avatar_component_clause,[],[f448])). 1.27/0.54 tff(f450,plain,( 1.27/0.54 spl42_106 | spl42_100 | spl42_108 | spl42_6), 1.27/0.54 inference(avatar_split_clause,[],[f122,f173,f448,f428,f442])). 1.27/0.54 tff(f455,plain,( 1.27/0.54 spl42_110 <=> (cQ @ sK31 = $false)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_110])])). 1.27/0.54 tff(f456,plain,( 1.27/0.54 (cQ @ sK31 = $false) | ~spl42_110), 1.27/0.54 inference(avatar_component_clause,[],[f455])). 1.27/0.54 tff(f457,plain,( 1.27/0.54 spl42_74 | spl42_100 | spl42_110 | spl42_6), 1.27/0.54 inference(avatar_split_clause,[],[f123,f173,f455,f428,f357])). 1.27/0.54 tff(f459,plain,( 1.27/0.54 spl42_112 <=> ! [X4] : ((cQ @ X4 = $true) | (cQ @ (sK32 @ X4) = $true))), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_112])])). 1.27/0.54 tff(f460,plain,( 1.27/0.54 ( ! [X4] : ((cQ @ X4 = $true) | (cQ @ (sK32 @ X4) = $true)) ) | ~spl42_112), 1.27/0.54 inference(avatar_component_clause,[],[f459])). 1.27/0.54 tff(f461,plain,( 1.27/0.54 ~spl42_7 | spl42_112 | spl42_100), 1.27/0.54 inference(avatar_split_clause,[],[f120,f428,f459,f176])). 1.27/0.54 tff(f463,plain,( 1.27/0.54 spl42_114 <=> ! [X4] : ((cQ @ X4 = $false) | (cQ @ (sK32 @ X4) = $false))), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_114])])). 1.27/0.54 tff(f464,plain,( 1.27/0.54 ( ! [X4] : ((cQ @ X4 = $false) | (cQ @ (sK32 @ X4) = $false)) ) | ~spl42_114), 1.27/0.54 inference(avatar_component_clause,[],[f463])). 1.27/0.54 tff(f465,plain,( 1.27/0.54 ~spl42_7 | spl42_114 | spl42_100), 1.27/0.54 inference(avatar_split_clause,[],[f121,f428,f463,f176])). 1.27/0.54 tff(f470,plain,( 1.27/0.54 spl42_116 <=> (cQ @ sK33 = $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_116])])). 1.27/0.54 tff(f471,plain,( 1.27/0.54 (cQ @ sK33 = $true) | ~spl42_116), 1.27/0.54 inference(avatar_component_clause,[],[f470])). 1.27/0.54 tff(f472,plain,( 1.27/0.54 spl42_106 | ~spl42_7 | ~spl42_101 | spl42_116), 1.27/0.54 inference(avatar_split_clause,[],[f118,f470,f431,f176,f442])). 1.27/0.54 tff(f477,plain,( 1.27/0.54 spl42_118 <=> (cQ @ sK33 = $false)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_118])])). 1.27/0.54 tff(f478,plain,( 1.27/0.54 (cQ @ sK33 = $false) | ~spl42_118), 1.27/0.54 inference(avatar_component_clause,[],[f477])). 1.27/0.54 tff(f479,plain,( 1.27/0.54 spl42_74 | ~spl42_7 | ~spl42_101 | spl42_118), 1.27/0.54 inference(avatar_split_clause,[],[f119,f477,f431,f176,f357])). 1.27/0.54 tff(f484,plain,( 1.27/0.54 spl42_121 <=> (cR @ sK34 != $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_121])])). 1.27/0.54 tff(f485,plain,( 1.27/0.54 (cR @ sK34 != $true) | ~spl42_121), 1.27/0.54 inference(avatar_component_clause,[],[f484])). 1.27/0.54 tff(f487,plain,( 1.27/0.54 spl42_122 <=> ! [X0] : (cQ @ X0 != $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_122])])). 1.27/0.54 tff(f488,plain,( 1.27/0.54 ( ! [X0] : ((cQ @ X0 != $true)) ) | ~spl42_122), 1.27/0.54 inference(avatar_component_clause,[],[f487])). 1.27/0.54 tff(f489,plain,( 1.27/0.54 ~spl42_121 | spl42_122 | spl42_82), 1.27/0.54 inference(avatar_split_clause,[],[f111,f378,f487,f484])). 1.27/0.54 tff(f494,plain,( 1.27/0.54 spl42_124 <=> (cQ @ sK35 = $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_124])])). 1.27/0.54 tff(f495,plain,( 1.27/0.54 (cQ @ sK35 = $true) | ~spl42_124), 1.27/0.54 inference(avatar_component_clause,[],[f494])). 1.27/0.54 tff(f496,plain,( 1.27/0.54 spl42_22 | spl42_124 | spl42_82), 1.27/0.54 inference(avatar_split_clause,[],[f110,f378,f494,f219])). 1.27/0.54 tff(f497,plain,( 1.27/0.54 ~spl42_83 | spl42_122 | spl42_22), 1.27/0.54 inference(avatar_split_clause,[],[f109,f219,f487,f381])). 1.27/0.54 tff(f502,plain,( 1.27/0.54 spl42_127 <=> (cR @ sK37 != $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_127])])). 1.27/0.54 tff(f503,plain,( 1.27/0.54 (cR @ sK37 != $true) | ~spl42_127), 1.27/0.54 inference(avatar_component_clause,[],[f502])). 1.27/0.54 tff(f508,plain,( 1.27/0.54 spl42_128 <=> (cQ @ sK36 = $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_128])])). 1.27/0.54 tff(f509,plain,( 1.27/0.54 (cQ @ sK36 = $true) | ~spl42_128), 1.27/0.54 inference(avatar_component_clause,[],[f508])). 1.27/0.54 tff(f510,plain,( 1.27/0.54 ~spl42_83 | ~spl42_127 | spl42_128), 1.27/0.54 inference(avatar_split_clause,[],[f108,f508,f502,f381])). 1.27/0.54 tff(f512,plain,( 1.27/0.54 spl42_130 <=> ! [X1] : (cR @ X1 != $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_130])])). 1.27/0.54 tff(f513,plain,( 1.27/0.54 ( ! [X1] : ((cR @ X1 != $true)) ) | ~spl42_130), 1.27/0.54 inference(avatar_component_clause,[],[f512])). 1.27/0.54 tff(f518,plain,( 1.27/0.54 spl42_133 <=> (cS @ sK38 != $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_133])])). 1.27/0.54 tff(f519,plain,( 1.27/0.54 (cS @ sK38 != $true) | ~spl42_133), 1.27/0.54 inference(avatar_component_clause,[],[f518])). 1.27/0.54 tff(f520,plain,( 1.27/0.54 spl42_130 | ~spl42_133 | spl42_100), 1.27/0.54 inference(avatar_split_clause,[],[f115,f428,f518,f512])). 1.27/0.54 tff(f525,plain,( 1.27/0.54 spl42_134 <=> (cR @ sK39 = $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_134])])). 1.27/0.54 tff(f526,plain,( 1.27/0.54 (cR @ sK39 = $true) | ~spl42_134), 1.27/0.54 inference(avatar_component_clause,[],[f525])). 1.27/0.54 tff(f527,plain,( 1.27/0.54 spl42_134 | spl42_44 | spl42_100), 1.27/0.54 inference(avatar_split_clause,[],[f114,f428,f275,f525])). 1.27/0.54 tff(f532,plain,( 1.27/0.54 spl42_137 <=> (cS @ sK41 != $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_137])])). 1.27/0.54 tff(f533,plain,( 1.27/0.54 (cS @ sK41 != $true) | ~spl42_137), 1.27/0.54 inference(avatar_component_clause,[],[f532])). 1.27/0.54 tff(f538,plain,( 1.27/0.54 spl42_138 <=> (cR @ sK40 = $true)), 1.27/0.54 introduced(avatar_definition,[new_symbols(naming,[spl42_138])])). 1.27/0.54 tff(f539,plain,( 1.27/0.54 (cR @ sK40 = $true) | ~spl42_138), 1.27/0.54 inference(avatar_component_clause,[],[f538])). 1.27/0.54 tff(f540,plain,( 1.27/0.54 ~spl42_101 | ~spl42_137 | spl42_138), 1.27/0.54 inference(avatar_split_clause,[],[f113,f538,f532,f431])). 1.27/0.54 tff(f541,plain,( 1.27/0.54 ~spl42_101 | spl42_130 | spl42_44), 1.27/0.54 inference(avatar_split_clause,[],[f112,f275,f512,f431])). 1.27/0.54 tff(f542,plain,( 1.27/0.54 ~spl42_11 | ~spl42_5), 1.27/0.54 inference(avatar_split_clause,[],[f117,f163,f185])). 1.27/0.54 tff(f543,plain,( 1.27/0.54 spl42_10 | spl42_4), 1.27/0.54 inference(avatar_split_clause,[],[f116,f166,f188])). 1.27/0.54 tff(f549,plain,( 1.27/0.54 ( ! [X4] : (($false = $true) | (cS @ (sK16 @ X4) = $false)) ) | (~spl42_44 | ~spl42_50)), 1.27/0.54 inference(forward_demodulation,[],[f290,f276])). 1.27/0.54 tff(f550,plain,( 1.27/0.54 ( ! [X4] : ((cS @ (sK16 @ X4) = $false)) ) | (~spl42_44 | ~spl42_50)), 1.27/0.54 inference(trivial_inequality_removal,[],[f549])). 1.27/0.54 tff(f567,plain,( 1.27/0.54 ( ! [X1] : (($true != $true) | (cS @ X1 = $false)) ) | ~spl42_56), 1.27/0.54 inference(fool_paramodulation,[],[f308])). 1.27/0.54 tff(f568,plain,( 1.27/0.54 ( ! [X1] : ((cS @ X1 = $false)) ) | ~spl42_56), 1.27/0.54 inference(trivial_inequality_removal,[],[f567])). 1.27/0.54 tff(f569,plain,( 1.27/0.54 ($false = $true) | (~spl42_44 | ~spl42_56)), 1.27/0.54 inference(backward_demodulation,[],[f568,f276])). 1.27/0.54 tff(f571,plain,( 1.27/0.54 $false | (~spl42_44 | ~spl42_56)), 1.27/0.54 inference(trivial_inequality_removal,[],[f569])). 1.27/0.54 tff(f572,plain,( 1.27/0.54 ~spl42_44 | ~spl42_56), 1.27/0.54 inference(avatar_contradiction_clause,[],[f571])). 1.27/0.54 tff(f576,plain,( 1.27/0.54 ($true != $true) | (cP @ sK18 = $false) | ~spl42_59), 1.27/0.54 inference(fool_paramodulation,[],[f314])). 1.27/0.54 tff(f577,plain,( 1.27/0.54 (cP @ sK18 = $false) | ~spl42_59), 1.27/0.54 inference(trivial_inequality_removal,[],[f576])). 1.27/0.54 tff(f582,plain,( 1.27/0.54 ($true != $true) | (cP @ sK21 = $false) | ~spl42_65), 1.27/0.54 inference(fool_paramodulation,[],[f331])). 1.27/0.54 tff(f583,plain,( 1.27/0.54 (cP @ sK21 = $false) | ~spl42_65), 1.27/0.54 inference(trivial_inequality_removal,[],[f582])). 1.27/0.54 tff(f586,plain,( 1.27/0.54 ($true != $true) | (cQ @ sK22 = $false) | ~spl42_71), 1.27/0.54 inference(fool_paramodulation,[],[f348])). 1.27/0.54 tff(f587,plain,( 1.27/0.54 (cQ @ sK22 = $false) | ~spl42_71), 1.27/0.54 inference(trivial_inequality_removal,[],[f586])). 1.27/0.54 tff(f591,plain,( 1.27/0.54 ($true != $true) | (cR @ sK37 = $false) | ~spl42_127), 1.27/0.54 inference(fool_paramodulation,[],[f503])). 1.27/0.54 tff(f592,plain,( 1.27/0.54 (cR @ sK37 = $false) | ~spl42_127), 1.27/0.54 inference(trivial_inequality_removal,[],[f591])). 1.27/0.54 tff(f594,plain,( 1.27/0.54 ($true != $true) | (cS @ sK41 = $false) | ~spl42_137), 1.27/0.54 inference(fool_paramodulation,[],[f533])). 1.27/0.54 tff(f595,plain,( 1.27/0.54 (cS @ sK41 = $false) | ~spl42_137), 1.27/0.54 inference(trivial_inequality_removal,[],[f594])). 1.27/0.54 tff(f600,plain,( 1.27/0.54 ($false = $true) | (~spl42_22 | ~spl42_127)), 1.27/0.54 inference(superposition,[],[f592,f220])). 1.27/0.54 tff(f604,plain,( 1.27/0.54 $false | (~spl42_22 | ~spl42_127)), 1.27/0.54 inference(trivial_inequality_removal,[],[f600])). 1.27/0.54 tff(f605,plain,( 1.27/0.54 ~spl42_22 | spl42_127), 1.27/0.54 inference(avatar_contradiction_clause,[],[f604])). 1.27/0.54 tff(f607,plain,( 1.27/0.54 ($false = $true) | (~spl42_44 | ~spl42_137)), 1.27/0.54 inference(superposition,[],[f595,f276])). 1.27/0.54 tff(f611,plain,( 1.27/0.54 $false | (~spl42_44 | ~spl42_137)), 1.27/0.54 inference(trivial_inequality_removal,[],[f607])). 1.27/0.54 tff(f612,plain,( 1.27/0.54 ~spl42_44 | spl42_137), 1.27/0.54 inference(avatar_contradiction_clause,[],[f611])). 1.27/0.54 tff(f614,plain,( 1.27/0.54 ( ! [X1] : (($true != $true) | (cR @ X1 = $false)) ) | ~spl42_130), 1.27/0.54 inference(fool_paramodulation,[],[f513])). 1.27/0.54 tff(f615,plain,( 1.27/0.54 ($true != $true) | (~spl42_22 | ~spl42_130)), 1.27/0.54 inference(superposition,[],[f513,f220])). 1.27/0.54 tff(f619,plain,( 1.27/0.54 $false | (~spl42_22 | ~spl42_130)), 1.27/0.54 inference(trivial_inequality_removal,[],[f615])). 1.27/0.54 tff(f620,plain,( 1.27/0.54 ~spl42_22 | ~spl42_130), 1.27/0.54 inference(avatar_contradiction_clause,[],[f619])). 1.27/0.54 tff(f621,plain,( 1.27/0.54 ( ! [X1] : ((cR @ X1 = $false)) ) | ~spl42_130), 1.27/0.54 inference(trivial_inequality_removal,[],[f614])). 1.27/0.54 tff(f622,plain,( 1.27/0.54 ($false = $true) | (~spl42_20 | ~spl42_24)), 1.27/0.54 inference(backward_demodulation,[],[f226,f216])). 1.27/0.54 tff(f623,plain,( 1.27/0.54 $false | (~spl42_20 | ~spl42_24)), 1.27/0.54 inference(trivial_inequality_removal,[],[f622])). 1.27/0.54 tff(f624,plain,( 1.27/0.54 ~spl42_20 | ~spl42_24), 1.27/0.54 inference(avatar_contradiction_clause,[],[f623])). 1.27/0.54 tff(f632,plain,( 1.27/0.54 ( ! [X0] : (($false = $true) | (cR @ (sK10 @ X0) = $true)) ) | (~spl42_14 | ~spl42_130)), 1.27/0.54 inference(forward_demodulation,[],[f202,f621])). 1.27/0.54 tff(f633,plain,( 1.27/0.54 ( ! [X0] : ((cR @ (sK10 @ X0) = $true)) ) | (~spl42_14 | ~spl42_130)), 1.27/0.54 inference(trivial_inequality_removal,[],[f632])). 1.27/0.54 tff(f634,plain,( 1.27/0.54 ($false = $true) | (~spl42_14 | ~spl42_130)), 1.27/0.54 inference(forward_demodulation,[],[f633,f621])). 1.27/0.54 tff(f635,plain,( 1.27/0.54 $false | (~spl42_14 | ~spl42_130)), 1.27/0.54 inference(trivial_inequality_removal,[],[f634])). 1.27/0.54 tff(f636,plain,( 1.27/0.54 ~spl42_14 | ~spl42_130), 1.27/0.54 inference(avatar_contradiction_clause,[],[f635])). 1.27/0.54 tff(f637,plain,( 1.27/0.54 ( ! [X0] : (($false = $true) | (cP @ (sK26 @ X0) = $false)) ) | (~spl42_62 | ~spl42_84)), 1.27/0.54 inference(backward_demodulation,[],[f324,f386])). 1.27/0.54 tff(f638,plain,( 1.27/0.54 ( ! [X0] : ((cP @ (sK26 @ X0) = $false)) ) | (~spl42_62 | ~spl42_84)), 1.27/0.54 inference(trivial_inequality_removal,[],[f637])). 1.27/0.54 tff(f640,plain,( 1.27/0.54 ( ! [X4] : (($false = $true) | (cS @ X4 = $true)) ) | (~spl42_44 | ~spl42_48 | ~spl42_50)), 1.27/0.54 inference(backward_demodulation,[],[f550,f286])). 1.27/0.54 tff(f641,plain,( 1.27/0.54 ( ! [X4] : ((cS @ X4 = $true)) ) | (~spl42_44 | ~spl42_48 | ~spl42_50)), 1.27/0.54 inference(trivial_inequality_removal,[],[f640])). 1.27/0.54 tff(f645,plain,( 1.27/0.54 ($false = $true) | (~spl42_59 | ~spl42_62)), 1.27/0.54 inference(superposition,[],[f324,f577])). 1.27/0.54 tff(f646,plain,( 1.27/0.54 ($false = $true) | (~spl42_62 | ~spl42_65)), 1.27/0.54 inference(superposition,[],[f324,f583])). 1.27/0.54 tff(f653,plain,( 1.27/0.54 $false | (~spl42_62 | ~spl42_65)), 1.27/0.54 inference(trivial_inequality_removal,[],[f646])). 1.27/0.54 tff(f654,plain,( 1.27/0.54 ~spl42_62 | spl42_65), 1.27/0.54 inference(avatar_contradiction_clause,[],[f653])). 1.27/0.54 tff(f655,plain,( 1.27/0.54 $false | (~spl42_59 | ~spl42_62)), 1.27/0.54 inference(trivial_inequality_removal,[],[f645])). 1.27/0.54 tff(f656,plain,( 1.27/0.54 spl42_59 | ~spl42_62), 1.27/0.54 inference(avatar_contradiction_clause,[],[f655])). 1.27/0.54 tff(f658,plain,( 1.27/0.54 ( ! [X0] : (($true != $true) | (cQ @ X0 = $false)) ) | ~spl42_122), 1.27/0.54 inference(fool_paramodulation,[],[f488])). 1.27/0.54 tff(f663,plain,( 1.27/0.54 ( ! [X0] : ((cQ @ X0 = $false)) ) | ~spl42_122), 1.27/0.54 inference(trivial_inequality_removal,[],[f658])). 1.27/0.54 tff(f666,plain,( 1.27/0.54 ( ! [X0] : (($false = $true) | (cQ @ (sK30 @ X0) = $true)) ) | (~spl42_102 | ~spl42_122)), 1.27/0.54 inference(backward_demodulation,[],[f663,f435])). 1.27/0.54 tff(f667,plain,( 1.27/0.54 ( ! [X0] : ((cQ @ (sK30 @ X0) = $true)) ) | (~spl42_102 | ~spl42_122)), 1.27/0.54 inference(trivial_inequality_removal,[],[f666])). 1.27/0.54 tff(f668,plain,( 1.27/0.54 ($false = $true) | (~spl42_102 | ~spl42_122)), 1.27/0.54 inference(forward_demodulation,[],[f667,f663])). 1.27/0.54 tff(f669,plain,( 1.27/0.54 $false | (~spl42_102 | ~spl42_122)), 1.27/0.54 inference(trivial_inequality_removal,[],[f668])). 1.27/0.54 tff(f670,plain,( 1.27/0.54 ~spl42_102 | ~spl42_122), 1.27/0.54 inference(avatar_contradiction_clause,[],[f669])). 1.27/0.54 tff(f674,plain,( 1.27/0.54 ( ! [X4] : (($false = $true) | (cQ @ (sK32 @ X4) = $true)) ) | (~spl42_112 | ~spl42_122)), 1.27/0.54 inference(forward_demodulation,[],[f460,f663])). 1.27/0.54 tff(f675,plain,( 1.27/0.54 ( ! [X4] : ((cQ @ (sK32 @ X4) = $true)) ) | (~spl42_112 | ~spl42_122)), 1.27/0.54 inference(trivial_inequality_removal,[],[f674])). 1.27/0.54 tff(f676,plain,( 1.27/0.54 ($false = $true) | (~spl42_112 | ~spl42_122)), 1.27/0.54 inference(forward_demodulation,[],[f675,f663])). 1.27/0.54 tff(f677,plain,( 1.27/0.54 $false | (~spl42_112 | ~spl42_122)), 1.27/0.54 inference(trivial_inequality_removal,[],[f676])). 1.27/0.54 tff(f678,plain,( 1.27/0.54 ~spl42_112 | ~spl42_122), 1.27/0.54 inference(avatar_contradiction_clause,[],[f677])). 1.27/0.54 tff(f691,plain,( 1.27/0.54 ($true != $true) | (cS @ sK38 = $false) | ~spl42_133), 1.27/0.54 inference(fool_paramodulation,[],[f519])). 1.27/0.54 tff(f692,plain,( 1.27/0.54 (cS @ sK38 = $false) | ~spl42_133), 1.27/0.54 inference(trivial_inequality_removal,[],[f691])). 1.27/0.54 tff(f702,plain,( 1.27/0.54 ($false = $true) | (~spl42_44 | ~spl42_48 | ~spl42_50)), 1.27/0.54 inference(superposition,[],[f550,f641])). 1.27/0.54 tff(f706,plain,( 1.27/0.54 $false | (~spl42_44 | ~spl42_48 | ~spl42_50)), 1.27/0.54 inference(trivial_inequality_removal,[],[f702])). 1.27/0.54 tff(f707,plain,( 1.27/0.54 ~spl42_44 | ~spl42_48 | ~spl42_50), 1.27/0.54 inference(avatar_contradiction_clause,[],[f706])). 1.27/0.54 tff(f711,plain,( 1.27/0.54 ($false = $true) | (~spl42_62 | ~spl42_84)), 1.27/0.54 inference(superposition,[],[f638,f324])). 1.27/0.54 tff(f715,plain,( 1.27/0.54 $false | (~spl42_62 | ~spl42_84)), 1.27/0.54 inference(trivial_inequality_removal,[],[f711])). 1.27/0.54 tff(f716,plain,( 1.27/0.54 ~spl42_62 | ~spl42_84), 1.27/0.54 inference(avatar_contradiction_clause,[],[f715])). 1.27/0.54 tff(f718,plain,( 1.27/0.54 ($false = $true) | (~spl42_74 | ~spl42_122)), 1.27/0.54 inference(forward_demodulation,[],[f358,f663])). 1.27/0.54 tff(f719,plain,( 1.27/0.54 $false | (~spl42_74 | ~spl42_122)), 1.27/0.54 inference(trivial_inequality_removal,[],[f718])). 1.27/0.54 tff(f720,plain,( 1.27/0.54 ~spl42_74 | ~spl42_122), 1.27/0.54 inference(avatar_contradiction_clause,[],[f719])). 1.27/0.54 tff(f725,plain,( 1.27/0.54 ( ! [X1] : (($true != $true) | (cP @ X1 = $false)) ) | ~spl42_68), 1.27/0.54 inference(fool_paramodulation,[],[f342])). 1.27/0.54 tff(f726,plain,( 1.27/0.54 ($true != $true) | (~spl42_62 | ~spl42_68)), 1.27/0.54 inference(superposition,[],[f342,f324])). 1.27/0.54 tff(f730,plain,( 1.27/0.54 $false | (~spl42_62 | ~spl42_68)), 1.27/0.54 inference(trivial_inequality_removal,[],[f726])). 1.27/0.54 tff(f731,plain,( 1.27/0.54 ~spl42_62 | ~spl42_68), 1.27/0.54 inference(avatar_contradiction_clause,[],[f730])). 1.27/0.54 tff(f732,plain,( 1.27/0.54 ( ! [X1] : ((cP @ X1 = $false)) ) | ~spl42_68), 1.27/0.54 inference(trivial_inequality_removal,[],[f725])). 1.27/0.54 tff(f734,plain,( 1.27/0.54 ($false = $true) | (~spl42_106 | ~spl42_124)), 1.27/0.54 inference(forward_demodulation,[],[f495,f443])). 1.27/0.54 tff(f735,plain,( 1.27/0.54 $false | (~spl42_106 | ~spl42_124)), 1.27/0.54 inference(trivial_inequality_removal,[],[f734])). 1.27/0.54 tff(f736,plain,( 1.27/0.54 ~spl42_106 | ~spl42_124), 1.27/0.54 inference(avatar_contradiction_clause,[],[f735])). 1.27/0.54 tff(f739,plain,( 1.27/0.54 ($false = $true) | (~spl42_74 | ~spl42_106)), 1.27/0.54 inference(forward_demodulation,[],[f358,f443])). 1.27/0.54 tff(f740,plain,( 1.27/0.54 $false | (~spl42_74 | ~spl42_106)), 1.27/0.54 inference(trivial_inequality_removal,[],[f739])). 1.27/0.54 tff(f741,plain,( 1.27/0.54 ~spl42_74 | ~spl42_106), 1.27/0.54 inference(avatar_contradiction_clause,[],[f740])). 1.27/0.54 tff(f743,plain,( 1.27/0.54 ( ! [X0] : (($false = $true) | (cP @ (sK26 @ X0) = $true)) ) | (~spl42_68 | ~spl42_80)), 1.27/0.54 inference(backward_demodulation,[],[f732,f376])). 1.27/0.54 tff(f744,plain,( 1.27/0.54 ( ! [X6] : (($false = $true) | (cP @ (sK29 @ X6) = $true)) ) | (~spl42_68 | ~spl42_96)), 1.27/0.54 inference(backward_demodulation,[],[f732,f421])). 1.27/0.54 tff(f748,plain,( 1.27/0.54 ( ! [X6] : ((cP @ (sK29 @ X6) = $true)) ) | (~spl42_68 | ~spl42_96)), 1.27/0.54 inference(trivial_inequality_removal,[],[f744])). 1.27/0.54 tff(f749,plain,( 1.27/0.54 ( ! [X0] : ((cP @ (sK26 @ X0) = $true)) ) | (~spl42_68 | ~spl42_80)), 1.27/0.54 inference(trivial_inequality_removal,[],[f743])). 1.27/0.54 tff(f750,plain,( 1.27/0.54 ($false = $true) | (~spl42_68 | ~spl42_80)), 1.27/0.54 inference(forward_demodulation,[],[f749,f732])). 1.27/0.54 tff(f751,plain,( 1.27/0.54 $false | (~spl42_68 | ~spl42_80)), 1.27/0.54 inference(trivial_inequality_removal,[],[f750])). 1.27/0.54 tff(f752,plain,( 1.27/0.54 ~spl42_68 | ~spl42_80), 1.27/0.54 inference(avatar_contradiction_clause,[],[f751])). 1.27/0.54 tff(f753,plain,( 1.27/0.54 ($false = $true) | (~spl42_68 | ~spl42_96)), 1.27/0.54 inference(forward_demodulation,[],[f748,f732])). 1.27/0.54 tff(f754,plain,( 1.27/0.54 $false | (~spl42_68 | ~spl42_96)), 1.27/0.54 inference(trivial_inequality_removal,[],[f753])). 1.27/0.54 tff(f755,plain,( 1.27/0.54 ~spl42_68 | ~spl42_96), 1.27/0.54 inference(avatar_contradiction_clause,[],[f754])). 1.27/0.54 tff(f758,plain,( 1.27/0.54 ( ! [X0] : (($false = $true) | (cR @ (sK10 @ X0) = $false)) ) | (~spl42_16 | ~spl42_22)), 1.27/0.54 inference(backward_demodulation,[],[f220,f206])). 1.27/0.54 tff(f759,plain,( 1.27/0.54 ( ! [X0] : ((cR @ (sK10 @ X0) = $false)) ) | (~spl42_16 | ~spl42_22)), 1.27/0.54 inference(trivial_inequality_removal,[],[f758])). 1.27/0.54 tff(f760,plain,( 1.27/0.54 ($false = $true) | (~spl42_106 | ~spl42_128)), 1.27/0.54 inference(forward_demodulation,[],[f509,f443])). 1.27/0.54 tff(f761,plain,( 1.27/0.54 $false | (~spl42_106 | ~spl42_128)), 1.27/0.54 inference(trivial_inequality_removal,[],[f760])). 1.27/0.54 tff(f762,plain,( 1.27/0.54 ~spl42_106 | ~spl42_128), 1.27/0.54 inference(avatar_contradiction_clause,[],[f761])). 1.27/0.54 tff(f766,plain,( 1.27/0.54 ($false = $true) | (~spl42_18 | ~spl42_138)), 1.27/0.54 inference(backward_demodulation,[],[f210,f539])). 1.27/0.54 tff(f767,plain,( 1.27/0.54 $false | (~spl42_18 | ~spl42_138)), 1.27/0.54 inference(trivial_inequality_removal,[],[f766])). 1.27/0.54 tff(f768,plain,( 1.27/0.54 ~spl42_18 | ~spl42_138), 1.27/0.54 inference(avatar_contradiction_clause,[],[f767])). 1.27/0.54 tff(f771,plain,( 1.27/0.54 ( ! [X4] : (($false = $true) | (cR @ (sK12 @ X4) = $false)) ) | (~spl42_22 | ~spl42_28)), 1.27/0.54 inference(backward_demodulation,[],[f220,f234])). 1.27/0.54 tff(f774,plain,( 1.27/0.54 ( ! [X4] : ((cR @ (sK12 @ X4) = $false)) ) | (~spl42_22 | ~spl42_28)), 1.27/0.54 inference(trivial_inequality_removal,[],[f771])). 1.27/0.54 tff(f780,plain,( 1.27/0.54 ($true != $true) | (cR @ sK34 = $false) | ~spl42_121), 1.27/0.54 inference(fool_paramodulation,[],[f485])). 1.27/0.54 tff(f781,plain,( 1.27/0.54 (cR @ sK34 = $false) | ~spl42_121), 1.27/0.54 inference(trivial_inequality_removal,[],[f780])). 1.27/0.54 tff(f789,plain,( 1.27/0.54 ($false = $true) | (~spl42_22 | ~spl42_121)), 1.27/0.54 inference(superposition,[],[f781,f220])). 1.27/0.54 tff(f793,plain,( 1.27/0.54 $false | (~spl42_22 | ~spl42_121)), 1.27/0.54 inference(trivial_inequality_removal,[],[f789])). 1.27/0.54 tff(f794,plain,( 1.27/0.54 ~spl42_22 | spl42_121), 1.27/0.54 inference(avatar_contradiction_clause,[],[f793])). 1.27/0.54 tff(f795,plain,( 1.27/0.54 ($false = $true) | (~spl42_16 | ~spl42_22)), 1.27/0.54 inference(superposition,[],[f759,f220])). 1.27/0.54 tff(f799,plain,( 1.27/0.54 $false | (~spl42_16 | ~spl42_22)), 1.27/0.54 inference(trivial_inequality_removal,[],[f795])). 1.27/0.54 tff(f800,plain,( 1.27/0.54 ~spl42_16 | ~spl42_22), 1.27/0.54 inference(avatar_contradiction_clause,[],[f799])). 1.27/0.54 tff(f801,plain,( 1.27/0.54 ($false = $true) | (~spl42_22 | ~spl42_28)), 1.27/0.54 inference(superposition,[],[f774,f220])). 1.27/0.54 tff(f805,plain,( 1.27/0.54 $false | (~spl42_22 | ~spl42_28)), 1.27/0.54 inference(trivial_inequality_removal,[],[f801])). 1.27/0.54 tff(f806,plain,( 1.27/0.54 ~spl42_22 | ~spl42_28), 1.27/0.54 inference(avatar_contradiction_clause,[],[f805])). 1.27/0.54 tff(f808,plain,( 1.27/0.54 ($false = $true) | (~spl42_116 | ~spl42_118)), 1.27/0.54 inference(forward_demodulation,[],[f471,f478])). 1.27/0.54 tff(f809,plain,( 1.27/0.54 $false | (~spl42_116 | ~spl42_118)), 1.27/0.54 inference(trivial_inequality_removal,[],[f808])). 1.27/0.54 tff(f810,plain,( 1.27/0.54 ~spl42_116 | ~spl42_118), 1.27/0.54 inference(avatar_contradiction_clause,[],[f809])). 1.27/0.54 tff(f811,plain,( 1.27/0.54 ( ! [X4] : (($false = $true) | (cQ @ (sK32 @ X4) = $false)) ) | (~spl42_74 | ~spl42_114)), 1.27/0.54 inference(backward_demodulation,[],[f358,f464])). 1.27/0.54 tff(f812,plain,( 1.27/0.54 ( ! [X0] : (($false = $true) | (cQ @ (sK30 @ X0) = $false)) ) | (~spl42_74 | ~spl42_104)), 1.27/0.54 inference(backward_demodulation,[],[f358,f439])). 1.27/0.54 tff(f813,plain,( 1.27/0.54 ( ! [X0] : ((cQ @ (sK30 @ X0) = $false)) ) | (~spl42_74 | ~spl42_104)), 1.27/0.54 inference(trivial_inequality_removal,[],[f812])). 1.27/0.54 tff(f814,plain,( 1.27/0.54 ( ! [X4] : ((cQ @ (sK32 @ X4) = $false)) ) | (~spl42_74 | ~spl42_114)), 1.27/0.54 inference(trivial_inequality_removal,[],[f811])). 1.27/0.54 tff(f821,plain,( 1.27/0.54 ($false = $true) | (~spl42_71 | ~spl42_74)), 1.27/0.54 inference(superposition,[],[f358,f587])). 1.27/0.54 tff(f825,plain,( 1.27/0.54 $false | (~spl42_71 | ~spl42_74)), 1.27/0.54 inference(trivial_inequality_removal,[],[f821])). 1.27/0.54 tff(f826,plain,( 1.27/0.54 spl42_71 | ~spl42_74), 1.27/0.54 inference(avatar_contradiction_clause,[],[f825])). 1.27/0.54 tff(f828,plain,( 1.27/0.54 ($true != $true) | (~spl42_74 | ~spl42_77)), 1.27/0.54 inference(superposition,[],[f365,f358])). 1.27/0.54 tff(f829,plain,( 1.27/0.54 $false | (~spl42_74 | ~spl42_77)), 1.27/0.54 inference(trivial_inequality_removal,[],[f828])). 1.27/0.54 tff(f830,plain,( 1.27/0.54 ~spl42_74 | spl42_77), 1.27/0.54 inference(avatar_contradiction_clause,[],[f829])). 1.27/0.54 tff(f832,plain,( 1.27/0.54 ($false = $true) | (~spl42_78 | ~spl42_86)), 1.27/0.54 inference(forward_demodulation,[],[f371,f390])). 1.27/0.54 tff(f833,plain,( 1.27/0.54 $false | (~spl42_78 | ~spl42_86)), 1.27/0.54 inference(trivial_inequality_removal,[],[f832])). 1.27/0.54 tff(f834,plain,( 1.27/0.54 ~spl42_78 | ~spl42_86), 1.27/0.54 inference(avatar_contradiction_clause,[],[f833])). 1.27/0.54 tff(f836,plain,( 1.27/0.54 ($false = $true) | (~spl42_92 | ~spl42_94)), 1.27/0.54 inference(forward_demodulation,[],[f410,f417])). 1.27/0.54 tff(f837,plain,( 1.27/0.54 $false | (~spl42_92 | ~spl42_94)), 1.27/0.54 inference(trivial_inequality_removal,[],[f836])). 1.27/0.54 tff(f838,plain,( 1.27/0.54 ~spl42_92 | ~spl42_94), 1.27/0.54 inference(avatar_contradiction_clause,[],[f837])). 1.27/0.54 tff(f875,plain,( 1.27/0.54 ($false = $true) | (~spl42_74 | ~spl42_104)), 1.27/0.54 inference(superposition,[],[f813,f358])). 1.27/0.54 tff(f879,plain,( 1.27/0.54 $false | (~spl42_74 | ~spl42_104)), 1.27/0.54 inference(trivial_inequality_removal,[],[f875])). 1.27/0.54 tff(f880,plain,( 1.27/0.54 ~spl42_74 | ~spl42_104), 1.27/0.54 inference(avatar_contradiction_clause,[],[f879])). 1.27/0.54 tff(f881,plain,( 1.27/0.54 ($false = $true) | (~spl42_74 | ~spl42_114)), 1.27/0.54 inference(superposition,[],[f814,f358])). 1.27/0.54 tff(f885,plain,( 1.27/0.54 $false | (~spl42_74 | ~spl42_114)), 1.27/0.54 inference(trivial_inequality_removal,[],[f881])). 1.27/0.54 tff(f886,plain,( 1.27/0.54 ~spl42_74 | ~spl42_114), 1.27/0.54 inference(avatar_contradiction_clause,[],[f885])). 1.27/0.54 tff(f889,plain,( 1.27/0.54 ($false = $true) | (~spl42_40 | ~spl42_60)), 1.27/0.54 inference(forward_demodulation,[],[f321,f266])). 1.27/0.54 tff(f890,plain,( 1.27/0.54 $false | (~spl42_40 | ~spl42_60)), 1.27/0.54 inference(trivial_inequality_removal,[],[f889])). 1.27/0.54 tff(f891,plain,( 1.27/0.54 ~spl42_40 | ~spl42_60), 1.27/0.54 inference(avatar_contradiction_clause,[],[f890])). 1.27/0.54 tff(f893,plain,( 1.27/0.54 ($false = $true) | (~spl42_52 | ~spl42_54)), 1.27/0.54 inference(forward_demodulation,[],[f297,f304])). 1.27/0.54 tff(f894,plain,( 1.27/0.54 $false | (~spl42_52 | ~spl42_54)), 1.27/0.54 inference(trivial_inequality_removal,[],[f893])). 1.27/0.54 tff(f895,plain,( 1.27/0.54 ~spl42_52 | ~spl42_54), 1.27/0.54 inference(avatar_contradiction_clause,[],[f894])). 1.27/0.54 tff(f902,plain,( 1.27/0.54 ($false = $true) | (~spl42_44 | ~spl42_133)), 1.27/0.54 inference(superposition,[],[f276,f692])). 1.27/0.54 tff(f906,plain,( 1.27/0.54 $false | (~spl42_44 | ~spl42_133)), 1.27/0.54 inference(trivial_inequality_removal,[],[f902])). 1.27/0.54 tff(f907,plain,( 1.27/0.54 ~spl42_44 | spl42_133), 1.27/0.54 inference(avatar_contradiction_clause,[],[f906])). 1.27/0.54 tff(f908,plain,( 1.27/0.54 ($false = $true) | (~spl42_72 | ~spl42_86)), 1.27/0.54 inference(forward_demodulation,[],[f355,f390])). 1.27/0.54 tff(f909,plain,( 1.27/0.54 $false | (~spl42_72 | ~spl42_86)), 1.27/0.54 inference(trivial_inequality_removal,[],[f908])). 1.27/0.54 tff(f910,plain,( 1.27/0.54 ~spl42_72 | ~spl42_86), 1.27/0.54 inference(avatar_contradiction_clause,[],[f909])). 1.27/0.54 tff(f915,plain,( 1.27/0.54 ( ! [X4] : (($false = $true) | (cS @ (sK16 @ X4) = $true)) ) | (~spl42_48 | ~spl42_56)), 1.27/0.54 inference(backward_demodulation,[],[f568,f286])). 1.27/0.54 tff(f916,plain,( 1.27/0.54 ( ! [X4] : ((cS @ (sK16 @ X4) = $true)) ) | (~spl42_48 | ~spl42_56)), 1.27/0.54 inference(trivial_inequality_removal,[],[f915])). 1.27/0.54 tff(f917,plain,( 1.27/0.54 ($false = $true) | (~spl42_48 | ~spl42_56)), 1.27/0.54 inference(forward_demodulation,[],[f916,f568])). 1.27/0.54 tff(f918,plain,( 1.27/0.54 $false | (~spl42_48 | ~spl42_56)), 1.27/0.54 inference(trivial_inequality_removal,[],[f917])). 1.27/0.54 tff(f919,plain,( 1.27/0.54 ~spl42_48 | ~spl42_56), 1.27/0.54 inference(avatar_contradiction_clause,[],[f918])). 1.27/0.54 tff(f922,plain,( 1.27/0.54 ($false = $true) | (~spl42_42 | ~spl42_46)), 1.27/0.54 inference(forward_demodulation,[],[f272,f282])). 1.27/0.54 tff(f923,plain,( 1.27/0.54 $false | (~spl42_42 | ~spl42_46)), 1.27/0.54 inference(trivial_inequality_removal,[],[f922])). 1.27/0.54 tff(f924,plain,( 1.27/0.54 ~spl42_42 | ~spl42_46), 1.27/0.54 inference(avatar_contradiction_clause,[],[f923])). 1.27/0.54 tff(f931,plain,( 1.27/0.54 ($false = $true) | (~spl42_40 | ~spl42_66)), 1.27/0.54 inference(backward_demodulation,[],[f266,f337])). 1.27/0.54 tff(f932,plain,( 1.27/0.54 $false | (~spl42_40 | ~spl42_66)), 1.27/0.54 inference(trivial_inequality_removal,[],[f931])). 1.27/0.54 tff(f933,plain,( 1.27/0.54 ~spl42_40 | ~spl42_66), 1.27/0.54 inference(avatar_contradiction_clause,[],[f932])). 1.27/0.54 tff(f947,plain,( 1.27/0.54 ( ! [X0] : (($false = $true) | (cS @ (sK14 @ X0) = $true)) ) | (~spl42_36 | ~spl42_56)), 1.27/0.54 inference(backward_demodulation,[],[f568,f258])). 1.27/0.54 tff(f948,plain,( 1.27/0.54 ( ! [X0] : ((cS @ (sK14 @ X0) = $true)) ) | (~spl42_36 | ~spl42_56)), 1.27/0.54 inference(trivial_inequality_removal,[],[f947])). 1.27/0.54 tff(f949,plain,( 1.27/0.54 ($false = $true) | (~spl42_36 | ~spl42_56)), 1.27/0.54 inference(forward_demodulation,[],[f948,f568])). 1.27/0.54 tff(f950,plain,( 1.27/0.54 $false | (~spl42_36 | ~spl42_56)), 1.27/0.54 inference(trivial_inequality_removal,[],[f949])). 1.27/0.54 tff(f951,plain,( 1.27/0.54 ~spl42_36 | ~spl42_56), 1.27/0.54 inference(avatar_contradiction_clause,[],[f950])). 1.27/0.54 tff(f954,plain,( 1.27/0.54 ( ! [X4] : (($false = $true) | (cR @ (sK12 @ X4) = $true)) ) | (~spl42_26 | ~spl42_130)), 1.27/0.54 inference(backward_demodulation,[],[f621,f230])). 1.27/0.54 tff(f961,plain,( 1.27/0.54 ( ! [X4] : ((cR @ (sK12 @ X4) = $true)) ) | (~spl42_26 | ~spl42_130)), 1.27/0.54 inference(trivial_inequality_removal,[],[f954])). 1.27/0.54 tff(f962,plain,( 1.27/0.54 ($false = $true) | (~spl42_26 | ~spl42_130)), 1.27/0.54 inference(forward_demodulation,[],[f961,f621])). 1.27/0.54 tff(f963,plain,( 1.27/0.54 $false | (~spl42_26 | ~spl42_130)), 1.27/0.54 inference(trivial_inequality_removal,[],[f962])). 1.27/0.54 tff(f964,plain,( 1.27/0.54 ~spl42_26 | ~spl42_130), 1.27/0.54 inference(avatar_contradiction_clause,[],[f963])). 1.27/0.54 tff(f972,plain,( 1.27/0.54 ( ! [X0] : (($false = $true) | (cS @ (sK14 @ X0) = $false)) ) | (~spl42_38 | ~spl42_44)), 1.27/0.54 inference(backward_demodulation,[],[f276,f262])). 1.27/0.54 tff(f973,plain,( 1.27/0.54 ( ! [X0] : ((cS @ (sK14 @ X0) = $false)) ) | (~spl42_38 | ~spl42_44)), 1.27/0.54 inference(trivial_inequality_removal,[],[f972])). 1.27/0.54 tff(f985,plain,( 1.27/0.54 ($false = $true) | (~spl42_38 | ~spl42_44)), 1.27/0.54 inference(superposition,[],[f973,f276])). 1.27/0.54 tff(f989,plain,( 1.27/0.54 $false | (~spl42_38 | ~spl42_44)), 1.27/0.54 inference(trivial_inequality_removal,[],[f985])). 1.27/0.54 tff(f990,plain,( 1.27/0.54 ~spl42_38 | ~spl42_44), 1.27/0.54 inference(avatar_contradiction_clause,[],[f989])). 1.27/0.54 tff(f995,plain,( 1.27/0.54 ( ! [X6] : (($false = $true) | (cP @ (sK29 @ X6) = $false)) ) | (~spl42_62 | ~spl42_98)), 1.27/0.54 inference(backward_demodulation,[],[f324,f425])). 1.27/0.54 tff(f998,plain,( 1.27/0.54 ($false = $true) | (~spl42_30 | ~spl42_32)), 1.27/0.54 inference(forward_demodulation,[],[f241,f248])). 1.27/0.54 tff(f999,plain,( 1.27/0.54 $false | (~spl42_30 | ~spl42_32)), 1.27/0.54 inference(trivial_inequality_removal,[],[f998])). 1.27/0.54 tff(f1000,plain,( 1.27/0.54 ~spl42_30 | ~spl42_32), 1.27/0.54 inference(avatar_contradiction_clause,[],[f999])). 1.27/0.54 tff(f1002,plain,( 1.27/0.54 ($false = $true) | (~spl42_108 | ~spl42_110)), 1.27/0.54 inference(forward_demodulation,[],[f449,f456])). 1.27/0.54 tff(f1003,plain,( 1.27/0.54 $false | (~spl42_108 | ~spl42_110)), 1.27/0.54 inference(trivial_inequality_removal,[],[f1002])). 1.27/0.54 tff(f1004,plain,( 1.27/0.54 ~spl42_108 | ~spl42_110), 1.27/0.54 inference(avatar_contradiction_clause,[],[f1003])). 1.27/0.54 tff(f1011,plain,( 1.27/0.54 ($false = $true) | (~spl42_18 | ~spl42_134)), 1.27/0.54 inference(backward_demodulation,[],[f210,f526])). 1.27/0.54 tff(f1012,plain,( 1.27/0.54 $false | (~spl42_18 | ~spl42_134)), 1.27/0.54 inference(trivial_inequality_removal,[],[f1011])). 1.27/0.54 tff(f1013,plain,( 1.27/0.54 ~spl42_18 | ~spl42_134), 1.27/0.54 inference(avatar_contradiction_clause,[],[f1012])). 1.27/0.54 tff(f1022,plain,( 1.27/0.54 ( ! [X6] : ((cP @ (sK29 @ X6) = $false)) ) | (~spl42_62 | ~spl42_98)), 1.27/0.54 inference(trivial_inequality_removal,[],[f995])). 1.27/0.54 tff(f1026,plain,( 1.27/0.54 ( ! [X6] : (($false = $true) | (cP @ X6 = $true)) ) | (~spl42_62 | ~spl42_96 | ~spl42_98)), 1.27/0.54 inference(backward_demodulation,[],[f1022,f421])). 1.27/0.54 tff(f1027,plain,( 1.27/0.54 ( ! [X6] : ((cP @ X6 = $true)) ) | (~spl42_62 | ~spl42_96 | ~spl42_98)), 1.27/0.54 inference(trivial_inequality_removal,[],[f1026])). 1.27/0.54 tff(f1051,plain,( 1.27/0.54 ($false = $true) | (~spl42_62 | ~spl42_96 | ~spl42_98)), 1.27/0.54 inference(superposition,[],[f1022,f1027])). 1.27/0.54 tff(f1055,plain,( 1.27/0.54 $false | (~spl42_62 | ~spl42_96 | ~spl42_98)), 1.27/0.54 inference(trivial_inequality_removal,[],[f1051])). 1.27/0.54 tff(f1056,plain,( 1.27/0.54 ~spl42_62 | ~spl42_96 | ~spl42_98), 1.27/0.54 inference(avatar_contradiction_clause,[],[f1055])). 1.27/0.54 tff(f1059,plain,( 1.27/0.54 ($false = $true) | (~spl42_88 | ~spl42_90)), 1.27/0.54 inference(forward_demodulation,[],[f396,f403])). 1.27/0.54 tff(f1060,plain,( 1.27/0.54 $false | (~spl42_88 | ~spl42_90)), 1.27/0.54 inference(trivial_inequality_removal,[],[f1059])). 1.27/0.54 tff(f1061,plain,( 1.27/0.54 ~spl42_88 | ~spl42_90), 1.27/0.54 inference(avatar_contradiction_clause,[],[f1060])). 1.27/0.54 tff(f1063,plain,( 1.27/0.54 $false), 1.27/0.54 inference(avatar_sat_refutation,[],[f168,f169,f170,f171,f190,f191,f192,f193,f203,f207,f217,f227,f231,f235,f242,f249,f259,f263,f273,f283,f287,f291,f298,f305,f315,f325,f338,f339,f349,f359,f372,f373,f383,f387,f397,f404,f411,f418,f422,f426,f436,f440,f450,f457,f461,f465,f472,f479,f489,f496,f497,f510,f520,f527,f540,f541,f542,f543,f572,f605,f612,f620,f624,f636,f654,f656,f670,f678,f707,f716,f720,f731,f736,f741,f752,f755,f762,f768,f794,f800,f806,f810,f826,f830,f834,f838,f880,f886,f891,f895,f907,f910,f919,f924,f933,f951,f964,f990,f1000,f1004,f1013,f1056,f1061])). 1.27/0.54 % SZS output end Proof for theBenchmark 1.27/0.54 % (10857)------------------------------ 1.27/0.54 % (10857)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100) 1.27/0.54 % (10857)Termination reason: Refutation 1.27/0.54 1.27/0.54 % (10857)Memory used [KB]: 10490 1.27/0.54 % (10857)Time elapsed: 0.125 s 1.27/0.54 % (10857)------------------------------ 1.27/0.54 % (10857)------------------------------ 1.27/0.54 % (10830)Success in time 0.173 s 1.27/0.54 EOF