%----Output an unreadable proof % SZS output start Proof for theBenchmark thf(type_def_5, type, sTfun: ($tType * $tType) > $tType). thf(func_def_0, type, cQ: ($i > $o)). thf(func_def_1, type, cP: ($i > $o)). thf(func_def_2, type, cS: ($i > $o)). thf(func_def_3, type, cR: ($i > $o)). thf(func_def_7, type, sP0: $o). thf(func_def_8, type, sP1: $o). thf(func_def_9, type, sP2: $o). thf(func_def_10, type, sP3: $o). thf(func_def_11, type, sP4: $o). thf(func_def_12, type, sP5: $o). thf(func_def_13, type, sP6: $o). thf(func_def_14, type, sP7: $o). thf(func_def_15, type, sP8: $o). thf(func_def_16, type, sP9: $o). thf(func_def_17, type, sK10: ($i > $i)). thf(func_def_20, type, sK13: ($i > $i)). thf(func_def_21, type, sK14: ($i > $i)). thf(func_def_24, type, sK17: ($i > $i)). thf(func_def_33, type, sK26: ($i > $i)). thf(func_def_35, type, sK28: ($i > $i)). thf(func_def_37, type, sK30: ($i > $i)). thf(func_def_39, type, sK32: ($i > $i)). thf(f1,conjecture,( ((? [X1 : $i] : ! [X0 : $i] : ((cR @ X0) <=> (cR @ X1)) <=> (? [X1 : $i] : (cS @ X1) <=> ! [X0 : $i] : (cP @ X0))) <=> ((? [X1 : $i] : (cP @ X1) <=> ! [X0 : $i] : (cQ @ X0)) <=> ? [X1 : $i] : ! [X0 : $i] : ((cS @ X1) <=> (cS @ X0)))) <=> (((! [X0 : $i] : (cS @ X0) <=> ? [X1 : $i] : (cR @ X1)) <=> ? [X1 : $i] : ! [X0 : $i] : ((cQ @ X0) <=> (cQ @ X1))) <=> (? [X1 : $i] : ! [X0 : $i] : ((cP @ X0) <=> (cP @ X1)) <=> (! [X0 : $i] : (cR @ X0) <=> ? [X1 : $i] : (cQ @ X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM138)). thf(f2,negated_conjecture,( ~(((? [X1 : $i] : ! [X0 : $i] : ((cR @ X0) <=> (cR @ X1)) <=> (? [X1 : $i] : (cS @ X1) <=> ! [X0 : $i] : (cP @ X0))) <=> ((? [X1 : $i] : (cP @ X1) <=> ! [X0 : $i] : (cQ @ X0)) <=> ? [X1 : $i] : ! [X0 : $i] : ((cS @ X1) <=> (cS @ X0)))) <=> (((! [X0 : $i] : (cS @ X0) <=> ? [X1 : $i] : (cR @ X1)) <=> ? [X1 : $i] : ! [X0 : $i] : ((cQ @ X0) <=> (cQ @ X1))) <=> (? [X1 : $i] : ! [X0 : $i] : ((cP @ X0) <=> (cP @ X1)) <=> (! [X0 : $i] : (cR @ X0) <=> ? [X1 : $i] : (cQ @ X1)))))), inference(negated_conjecture,[status(cth)],[f1])). thf(f3,plain,( ~(((? [X0 : $i] : ! [X1 : $i] : ((cR @ X1) <=> (cR @ X0)) <=> (? [X2 : $i] : (cS @ X2) <=> ! [X3 : $i] : (cP @ X3))) <=> ((? [X4 : $i] : (cP @ X4) <=> ! [X5 : $i] : (cQ @ X5)) <=> ? [X6 : $i] : ! [X7 : $i] : ((cS @ X6) <=> (cS @ X7)))) <=> (((! [X8 : $i] : (cS @ X8) <=> ? [X9 : $i] : (cR @ X9)) <=> ? [X10 : $i] : ! [X11 : $i] : ((cQ @ X11) <=> (cQ @ X10))) <=> (? [X12 : $i] : ! [X13 : $i] : ((cP @ X13) <=> (cP @ X12)) <=> (! [X14 : $i] : (cR @ X14) <=> ? [X15 : $i] : (cQ @ X15)))))), inference(rectify,[],[f2])). thf(f4,plain,( ~((((! [X5 : $i] : ($true = ((cQ @ X5))) <=> ? [X4 : $i] : (((cP @ X4)) = $true)) <=> ? [X6 : $i] : ! [X7 : $i] : (((cS @ X6)) = ((cS @ X7)))) <=> ((! [X3 : $i] : (((cP @ X3)) = $true) <=> ? [X2 : $i] : ($true = ((cS @ X2)))) <=> ? [X0 : $i] : ! [X1 : $i] : (((cR @ X1)) = ((cR @ X0))))) <=> ((? [X12 : $i] : ! [X13 : $i] : (((cP @ X12)) = ((cP @ X13))) <=> (! [X14 : $i] : (((cR @ X14)) = $true) <=> ? [X15 : $i] : (((cQ @ X15)) = $true))) <=> (? [X10 : $i] : ! [X11 : $i] : (((cQ @ X10)) = ((cQ @ X11))) <=> (! [X8 : $i] : (((cS @ X8)) = $true) <=> ? [X9 : $i] : (((cR @ X9)) = $true)))))), inference(fool_elimination,[],[f3])). thf(f5,plain,( (((! [X5 : $i] : ($true = ((cQ @ X5))) <=> ? [X4 : $i] : (((cP @ X4)) = $true)) <=> ? [X6 : $i] : ! [X7 : $i] : (((cS @ X6)) = ((cS @ X7)))) <=> ((! [X3 : $i] : (((cP @ X3)) = $true) <=> ? [X2 : $i] : ($true = ((cS @ X2)))) <=> ? [X0 : $i] : ! [X1 : $i] : (((cR @ X1)) = ((cR @ X0))))) <~> ((? [X12 : $i] : ! [X13 : $i] : (((cP @ X12)) = ((cP @ X13))) <=> (! [X14 : $i] : (((cR @ X14)) = $true) <=> ? [X15 : $i] : (((cQ @ X15)) = $true))) <=> (? [X10 : $i] : ! [X11 : $i] : (((cQ @ X10)) = ((cQ @ X11))) <=> (! [X8 : $i] : (((cS @ X8)) = $true) <=> ? [X9 : $i] : (((cR @ X9)) = $true))))), inference(ennf_transformation,[],[f4])). thf(f6,definition,( ($true = sP0) <=> (! [X5 : $i] : ($true = ((cQ @ X5))) <=> ? [X4 : $i] : (((cP @ X4)) = $true))), introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])). thf(f7,definition,( ($true = sP1) <=> (! [X3 : $i] : (((cP @ X3)) = $true) <=> ? [X2 : $i] : ($true = ((cS @ X2))))), introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])). thf(f8,definition,( ($true = sP2) <=> (($true = sP0) <=> ? [X6 : $i] : ! [X7 : $i] : (((cS @ X6)) = ((cS @ X7))))), introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])). thf(f9,definition,( (sP3 = $true) <=> (($true = sP1) <=> ? [X0 : $i] : ! [X1 : $i] : (((cR @ X1)) = ((cR @ X0))))), introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])). thf(f10,definition,( ($true = sP4) <=> (! [X14 : $i] : (((cR @ X14)) = $true) <=> ? [X15 : $i] : (((cQ @ X15)) = $true))), introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])). thf(f11,definition,( (sP5 = $true) <=> (! [X8 : $i] : (((cS @ X8)) = $true) <=> ? [X9 : $i] : (((cR @ X9)) = $true))), introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])). thf(f12,definition,( (sP6 = $true) <=> (? [X12 : $i] : ! [X13 : $i] : (((cP @ X12)) = ((cP @ X13))) <=> ($true = sP4))), introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])). thf(f13,definition,( (sP7 = $true) <=> (? [X10 : $i] : ! [X11 : $i] : (((cQ @ X10)) = ((cQ @ X11))) <=> (sP5 = $true))), introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])). thf(f14,definition,( (sP8 = $true) <=> (($true = sP2) <=> (sP3 = $true))), introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])). thf(f15,definition,( (sP9 = $true) <=> ((sP6 = $true) <=> (sP7 = $true))), introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])). thf(f16,plain,( (sP8 = $true) <~> (sP9 = $true)), inference(definition_folding,[],[f5,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6])). thf(f17,plain,( ((sP9 = $true) | (((sP7 != $true) | (sP6 != $true)) & ((sP7 = $true) | (sP6 = $true)))) & ((((sP6 = $true) | (sP7 != $true)) & ((sP7 = $true) | (sP6 != $true))) | (sP9 != $true))), inference(nnf_transformation,[],[f15])). thf(f18,plain,( ((sP8 = $true) | (((sP3 != $true) | ($true != sP2)) & ((sP3 = $true) | ($true = sP2)))) & (((($true = sP2) | (sP3 != $true)) & ((sP3 = $true) | ($true != sP2))) | (sP8 != $true))), inference(nnf_transformation,[],[f14])). thf(f19,plain,( ((sP7 = $true) | (((sP5 != $true) | ! [X10 : $i] : ? [X11 : $i] : (((cQ @ X10)) != ((cQ @ X11)))) & ((sP5 = $true) | ? [X10 : $i] : ! [X11 : $i] : (((cQ @ X10)) = ((cQ @ X11)))))) & (((? [X10 : $i] : ! [X11 : $i] : (((cQ @ X10)) = ((cQ @ X11))) | (sP5 != $true)) & ((sP5 = $true) | ! [X10 : $i] : ? [X11 : $i] : (((cQ @ X10)) != ((cQ @ X11))))) | (sP7 != $true))), inference(nnf_transformation,[],[f13])). thf(f20,plain,( ((sP7 = $true) | (((sP5 != $true) | ! [X0 : $i] : ? [X1 : $i] : (((cQ @ X0)) != ((cQ @ X1)))) & ((sP5 = $true) | ? [X2 : $i] : ! [X3 : $i] : (((cQ @ X2)) = ((cQ @ X3)))))) & (((? [X4 : $i] : ! [X5 : $i] : (((cQ @ X4)) = ((cQ @ X5))) | (sP5 != $true)) & ((sP5 = $true) | ! [X6 : $i] : ? [X7 : $i] : (((cQ @ X7)) != ((cQ @ X6))))) | (sP7 != $true))), inference(rectify,[],[f19])). thf(f21,plain,( ((sP7 = $true) | (((sP5 != $true) | ! [X0 : $i] : (((cQ @ X0)) != ((cQ @ (sK10 @ X0))))) & ((sP5 = $true) | ! [X3 : $i] : (((cQ @ X3)) = ((cQ @ sK11)))))) & (((! [X5 : $i] : (((cQ @ sK12)) = ((cQ @ X5))) | (sP5 != $true)) & ((sP5 = $true) | ! [X6 : $i] : (((cQ @ (sK13 @ X6))) != ((cQ @ X6))))) | (sP7 != $true))), inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,sK11,sK12,vAPP]),skolemize(X7,$thf(sK13 @ X6)),skolemize(X2,$thf(sK11)),skolemize(X4,$thf(sK12)),skolemize(X7,$thf(sK13 @ X6))],[f20])). thf(f22,plain,( ((sP6 = $true) | ((($true != sP4) | ! [X12 : $i] : ? [X13 : $i] : (((cP @ X12)) != ((cP @ X13)))) & (($true = sP4) | ? [X12 : $i] : ! [X13 : $i] : (((cP @ X12)) = ((cP @ X13)))))) & (((? [X12 : $i] : ! [X13 : $i] : (((cP @ X12)) = ((cP @ X13))) | ($true != sP4)) & (($true = sP4) | ! [X12 : $i] : ? [X13 : $i] : (((cP @ X12)) != ((cP @ X13))))) | (sP6 != $true))), inference(nnf_transformation,[],[f12])). thf(f23,plain,( ((sP6 = $true) | ((($true != sP4) | ! [X0 : $i] : ? [X1 : $i] : (((cP @ X1)) != ((cP @ X0)))) & (($true = sP4) | ? [X2 : $i] : ! [X3 : $i] : (((cP @ X2)) = ((cP @ X3)))))) & (((? [X4 : $i] : ! [X5 : $i] : (((cP @ X4)) = ((cP @ X5))) | ($true != sP4)) & (($true = sP4) | ! [X6 : $i] : ? [X7 : $i] : (((cP @ X7)) != ((cP @ X6))))) | (sP6 != $true))), inference(rectify,[],[f22])). thf(f24,plain,( ((sP6 = $true) | ((($true != sP4) | ! [X0 : $i] : (((cP @ X0)) != ((cP @ (sK14 @ X0))))) & (($true = sP4) | ! [X3 : $i] : (((cP @ X3)) = ((cP @ sK15)))))) & (((! [X5 : $i] : (((cP @ sK16)) = ((cP @ X5))) | ($true != sP4)) & (($true = sP4) | ! [X6 : $i] : (((cP @ (sK17 @ X6))) != ((cP @ X6))))) | (sP6 != $true))), inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,sK15,sK16,vAPP]),skolemize(X7,$thf(sK13 @ X6)),skolemize(X2,$thf(sK15)),skolemize(X4,$thf(sK16)),skolemize(X7,$thf(sK13 @ X6))],[f23])). thf(f25,plain,( ((sP5 = $true) | ((! [X9 : $i] : (((cR @ X9)) != $true) | ? [X8 : $i] : (((cS @ X8)) != $true)) & (? [X9 : $i] : (((cR @ X9)) = $true) | ! [X8 : $i] : (((cS @ X8)) = $true)))) & (((! [X8 : $i] : (((cS @ X8)) = $true) | ! [X9 : $i] : (((cR @ X9)) != $true)) & (? [X9 : $i] : (((cR @ X9)) = $true) | ? [X8 : $i] : (((cS @ X8)) != $true))) | (sP5 != $true))), inference(nnf_transformation,[],[f11])). thf(f26,plain,( ((sP5 = $true) | ((! [X0 : $i] : (((cR @ X0)) != $true) | ? [X1 : $i] : (((cS @ X1)) != $true)) & (? [X2 : $i] : (((cR @ X2)) = $true) | ! [X3 : $i] : (((cS @ X3)) = $true)))) & (((! [X4 : $i] : (((cS @ X4)) = $true) | ! [X5 : $i] : (((cR @ X5)) != $true)) & (? [X6 : $i] : (((cR @ X6)) = $true) | ? [X7 : $i] : ($true != ((cS @ X7))))) | (sP5 != $true))), inference(rectify,[],[f25])). thf(f27,plain,( ((sP5 = $true) | ((! [X0 : $i] : (((cR @ X0)) != $true) | (((cS @ sK18)) != $true)) & ((((cR @ sK19)) = $true) | ! [X3 : $i] : (((cS @ X3)) = $true)))) & (((! [X4 : $i] : (((cS @ X4)) = $true) | ! [X5 : $i] : (((cR @ X5)) != $true)) & (($true = ((cR @ sK20))) | (((cS @ sK21)) != $true))) | (sP5 != $true))), inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21]),skolemize(X1,$thf(sK18)),skolemize(X2,$thf(sK19)),skolemize(X6,$thf(sK20)),skolemize(X7,$thf(sK21))],[f26])). thf(f28,plain,( (($true = sP4) | ((! [X15 : $i] : (((cQ @ X15)) != $true) | ? [X14 : $i] : (((cR @ X14)) != $true)) & (? [X15 : $i] : (((cQ @ X15)) = $true) | ! [X14 : $i] : (((cR @ X14)) = $true)))) & (((! [X14 : $i] : (((cR @ X14)) = $true) | ! [X15 : $i] : (((cQ @ X15)) != $true)) & (? [X15 : $i] : (((cQ @ X15)) = $true) | ? [X14 : $i] : (((cR @ X14)) != $true))) | ($true != sP4))), inference(nnf_transformation,[],[f10])). thf(f29,plain,( (($true = sP4) | ((! [X0 : $i] : (((cQ @ X0)) != $true) | ? [X1 : $i] : (((cR @ X1)) != $true)) & (? [X2 : $i] : (((cQ @ X2)) = $true) | ! [X3 : $i] : (((cR @ X3)) = $true)))) & (((! [X4 : $i] : ($true = ((cR @ X4))) | ! [X5 : $i] : ($true != ((cQ @ X5)))) & (? [X6 : $i] : ($true = ((cQ @ X6))) | ? [X7 : $i] : (((cR @ X7)) != $true))) | ($true != sP4))), inference(rectify,[],[f28])). thf(f30,plain,( (($true = sP4) | ((! [X0 : $i] : (((cQ @ X0)) != $true) | ($true != ((cR @ sK22)))) & (($true = ((cQ @ sK23))) | ! [X3 : $i] : (((cR @ X3)) = $true)))) & (((! [X4 : $i] : ($true = ((cR @ X4))) | ! [X5 : $i] : ($true != ((cQ @ X5)))) & ((((cQ @ sK24)) = $true) | (((cR @ sK25)) != $true))) | ($true != sP4))), inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23,sK24,sK25]),skolemize(X1,$thf(sK22)),skolemize(X2,$thf(sK23)),skolemize(X6,$thf(sK24)),skolemize(X7,$thf(sK25))],[f29])). thf(f31,plain,( ((sP3 = $true) | ((! [X0 : $i] : ? [X1 : $i] : (((cR @ X1)) != ((cR @ X0))) | ($true != sP1)) & (? [X0 : $i] : ! [X1 : $i] : (((cR @ X1)) = ((cR @ X0))) | ($true = sP1)))) & (((($true = sP1) | ! [X0 : $i] : ? [X1 : $i] : (((cR @ X1)) != ((cR @ X0)))) & (? [X0 : $i] : ! [X1 : $i] : (((cR @ X1)) = ((cR @ X0))) | ($true != sP1))) | (sP3 != $true))), inference(nnf_transformation,[],[f9])). thf(f32,plain,( ((sP3 = $true) | ((! [X0 : $i] : ? [X1 : $i] : (((cR @ X1)) != ((cR @ X0))) | ($true != sP1)) & (? [X2 : $i] : ! [X3 : $i] : (((cR @ X3)) = ((cR @ X2))) | ($true = sP1)))) & (((($true = sP1) | ! [X4 : $i] : ? [X5 : $i] : (((cR @ X5)) != ((cR @ X4)))) & (? [X6 : $i] : ! [X7 : $i] : (((cR @ X6)) = ((cR @ X7))) | ($true != sP1))) | (sP3 != $true))), inference(rectify,[],[f31])). thf(f33,plain,( ((sP3 = $true) | ((! [X0 : $i] : (((cR @ X0)) != ((cR @ (sK26 @ X0)))) | ($true != sP1)) & (! [X3 : $i] : (((cR @ sK27)) = ((cR @ X3))) | ($true = sP1)))) & (((($true = sP1) | ! [X4 : $i] : (((cR @ (sK28 @ X4))) != ((cR @ X4)))) & (! [X7 : $i] : (((cR @ sK29)) = ((cR @ X7))) | ($true != sP1))) | (sP3 != $true))), inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,sK27,vAPP,sK29]),skolemize(X7,$thf(sK13 @ X6)),skolemize(X2,$thf(sK27)),skolemize(X7,$thf(sK13 @ X6)),skolemize(X6,$thf(sK29))],[f32])). thf(f34,plain,( (($true = sP2) | ((! [X6 : $i] : ? [X7 : $i] : (((cS @ X6)) != ((cS @ X7))) | ($true != sP0)) & (? [X6 : $i] : ! [X7 : $i] : (((cS @ X6)) = ((cS @ X7))) | ($true = sP0)))) & (((($true = sP0) | ! [X6 : $i] : ? [X7 : $i] : (((cS @ X6)) != ((cS @ X7)))) & (? [X6 : $i] : ! [X7 : $i] : (((cS @ X6)) = ((cS @ X7))) | ($true != sP0))) | ($true != sP2))), inference(nnf_transformation,[],[f8])). thf(f35,plain,( (($true = sP2) | ((! [X0 : $i] : ? [X1 : $i] : (((cS @ X0)) != ((cS @ X1))) | ($true != sP0)) & (? [X2 : $i] : ! [X3 : $i] : (((cS @ X3)) = ((cS @ X2))) | ($true = sP0)))) & (((($true = sP0) | ! [X4 : $i] : ? [X5 : $i] : (((cS @ X4)) != ((cS @ X5)))) & (? [X6 : $i] : ! [X7 : $i] : (((cS @ X6)) = ((cS @ X7))) | ($true != sP0))) | ($true != sP2))), inference(rectify,[],[f34])). thf(f36,plain,( (($true = sP2) | ((! [X0 : $i] : (((cS @ X0)) != ((cS @ (sK30 @ X0)))) | ($true != sP0)) & (! [X3 : $i] : (((cS @ X3)) = ((cS @ sK31))) | ($true = sP0)))) & (((($true = sP0) | ! [X4 : $i] : (((cS @ X4)) != ((cS @ (sK32 @ X4))))) & (! [X7 : $i] : (((cS @ X7)) = ((cS @ sK33))) | ($true != sP0))) | ($true != sP2))), inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,sK31,vAPP,sK33]),skolemize(X7,$thf(sK13 @ X6)),skolemize(X2,$thf(sK31)),skolemize(X7,$thf(sK13 @ X6)),skolemize(X6,$thf(sK33))],[f35])). thf(f37,plain,( (($true = sP1) | ((! [X2 : $i] : ($true != ((cS @ X2))) | ? [X3 : $i] : (((cP @ X3)) != $true)) & (? [X2 : $i] : ($true = ((cS @ X2))) | ! [X3 : $i] : (((cP @ X3)) = $true)))) & (((! [X3 : $i] : (((cP @ X3)) = $true) | ! [X2 : $i] : ($true != ((cS @ X2)))) & (? [X2 : $i] : ($true = ((cS @ X2))) | ? [X3 : $i] : (((cP @ X3)) != $true))) | ($true != sP1))), inference(nnf_transformation,[],[f7])). thf(f38,plain,( (($true = sP1) | ((! [X0 : $i] : (((cS @ X0)) != $true) | ? [X1 : $i] : (((cP @ X1)) != $true)) & (? [X2 : $i] : ($true = ((cS @ X2))) | ! [X3 : $i] : (((cP @ X3)) = $true)))) & (((! [X4 : $i] : (((cP @ X4)) = $true) | ! [X5 : $i] : (((cS @ X5)) != $true)) & (? [X6 : $i] : (((cS @ X6)) = $true) | ? [X7 : $i] : (((cP @ X7)) != $true))) | ($true != sP1))), inference(rectify,[],[f37])). thf(f39,plain,( (($true = sP1) | ((! [X0 : $i] : (((cS @ X0)) != $true) | (((cP @ sK34)) != $true)) & ((((cS @ sK35)) = $true) | ! [X3 : $i] : (((cP @ X3)) = $true)))) & (((! [X4 : $i] : (((cP @ X4)) = $true) | ! [X5 : $i] : (((cS @ X5)) != $true)) & ((((cS @ sK36)) = $true) | (((cP @ sK37)) != $true))) | ($true != sP1))), inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35,sK36,sK37]),skolemize(X1,$thf(sK34)),skolemize(X2,$thf(sK35)),skolemize(X6,$thf(sK36)),skolemize(X7,$thf(sK37))],[f38])). thf(f40,plain,( (($true = sP0) | ((! [X4 : $i] : (((cP @ X4)) != $true) | ? [X5 : $i] : ($true != ((cQ @ X5)))) & (? [X4 : $i] : (((cP @ X4)) = $true) | ! [X5 : $i] : ($true = ((cQ @ X5)))))) & (((! [X5 : $i] : ($true = ((cQ @ X5))) | ! [X4 : $i] : (((cP @ X4)) != $true)) & (? [X4 : $i] : (((cP @ X4)) = $true) | ? [X5 : $i] : ($true != ((cQ @ X5))))) | ($true != sP0))), inference(nnf_transformation,[],[f6])). thf(f41,plain,( (($true = sP0) | ((! [X0 : $i] : (((cP @ X0)) != $true) | ? [X1 : $i] : (((cQ @ X1)) != $true)) & (? [X2 : $i] : (((cP @ X2)) = $true) | ! [X3 : $i] : (((cQ @ X3)) = $true)))) & (((! [X4 : $i] : ($true = ((cQ @ X4))) | ! [X5 : $i] : ($true != ((cP @ X5)))) & (? [X6 : $i] : (((cP @ X6)) = $true) | ? [X7 : $i] : (((cQ @ X7)) != $true))) | ($true != sP0))), inference(rectify,[],[f40])). thf(f42,plain,( (($true = sP0) | ((! [X0 : $i] : (((cP @ X0)) != $true) | (((cQ @ sK38)) != $true)) & ((((cP @ sK39)) = $true) | ! [X3 : $i] : (((cQ @ X3)) = $true)))) & (((! [X4 : $i] : ($true = ((cQ @ X4))) | ! [X5 : $i] : ($true != ((cP @ X5)))) & ((((cP @ sK40)) = $true) | (((cQ @ sK41)) != $true))) | ($true != sP0))), inference(skolemize,[status(esa),new_symbols(skolem,[sK38,sK39,sK40,sK41]),skolemize(X1,$thf(sK38)),skolemize(X2,$thf(sK39)),skolemize(X6,$thf(sK40)),skolemize(X7,$thf(sK41))],[f41])). thf(f43,plain,( ((sP9 != $true) | (sP8 != $true)) & ((sP9 = $true) | (sP8 = $true))), inference(nnf_transformation,[],[f16])). thf(f44,plain,( (sP9 != $true) | (sP7 = $true) | (sP6 != $true)), inference(cnf_transformation,[],[f17])). thf(f45,plain,( (sP7 != $true) | (sP9 != $true) | (sP6 = $true)), inference(cnf_transformation,[],[f17])). thf(f46,plain,( (sP6 = $true) | (sP7 = $true) | (sP9 = $true)), inference(cnf_transformation,[],[f17])). thf(f47,plain,( (sP6 != $true) | (sP9 = $true) | (sP7 != $true)), inference(cnf_transformation,[],[f17])). thf(f48,plain,( ($true != sP2) | (sP3 = $true) | (sP8 != $true)), inference(cnf_transformation,[],[f18])). thf(f49,plain,( (sP3 != $true) | ($true = sP2) | (sP8 != $true)), inference(cnf_transformation,[],[f18])). thf(f50,plain,( (sP8 = $true) | (sP3 = $true) | ($true = sP2)), inference(cnf_transformation,[],[f18])). thf(f51,plain,( (sP3 != $true) | ($true != sP2) | (sP8 = $true)), inference(cnf_transformation,[],[f18])). thf(f52,plain,( ( ! [X6 : $i] : ((((cQ @ (sK13 @ X6))) != ((cQ @ X6))) | (sP7 != $true) | (sP5 = $true)) )), inference(cnf_transformation,[],[f21])). thf(f53,plain,( ( ! [X5 : $i] : ((sP7 != $true) | (((cQ @ sK12)) = ((cQ @ X5))) | (sP5 != $true)) )), inference(cnf_transformation,[],[f21])). thf(f54,plain,( ( ! [X3 : $i] : ((((cQ @ X3)) = ((cQ @ sK11))) | (sP7 = $true) | (sP5 = $true)) )), inference(cnf_transformation,[],[f21])). thf(f55,plain,( ( ! [X0 : $i] : ((sP5 != $true) | (((cQ @ X0)) != ((cQ @ (sK10 @ X0)))) | (sP7 = $true)) )), inference(cnf_transformation,[],[f21])). thf(f56,plain,( ( ! [X6 : $i] : ((sP6 != $true) | (((cP @ (sK17 @ X6))) != ((cP @ X6))) | ($true = sP4)) )), inference(cnf_transformation,[],[f24])). thf(f57,plain,( ( ! [X5 : $i] : ((sP6 != $true) | ($true != sP4) | (((cP @ sK16)) = ((cP @ X5)))) )), inference(cnf_transformation,[],[f24])). thf(f58,plain,( ( ! [X3 : $i] : (($true = sP4) | (sP6 = $true) | (((cP @ X3)) = ((cP @ sK15)))) )), inference(cnf_transformation,[],[f24])). thf(f59,plain,( ( ! [X0 : $i] : ((sP6 = $true) | (((cP @ X0)) != ((cP @ (sK14 @ X0)))) | ($true != sP4)) )), inference(cnf_transformation,[],[f24])). thf(f60,plain,( (((cS @ sK21)) != $true) | (sP5 != $true) | ($true = ((cR @ sK20)))), inference(cnf_transformation,[],[f27])). thf(f61,plain,( ( ! [X4 : $i,X5 : $i] : ((sP5 != $true) | (((cS @ X4)) = $true) | (((cR @ X5)) != $true)) )), inference(cnf_transformation,[],[f27])). thf(f62,plain,( ( ! [X3 : $i] : ((((cR @ sK19)) = $true) | (((cS @ X3)) = $true) | (sP5 = $true)) )), inference(cnf_transformation,[],[f27])). thf(f63,plain,( ( ! [X0 : $i] : ((sP5 = $true) | (((cS @ sK18)) != $true) | (((cR @ X0)) != $true)) )), inference(cnf_transformation,[],[f27])). thf(f64,plain,( (((cR @ sK25)) != $true) | ($true != sP4) | (((cQ @ sK24)) = $true)), inference(cnf_transformation,[],[f30])). thf(f65,plain,( ( ! [X4 : $i,X5 : $i] : (($true != sP4) | ($true != ((cQ @ X5))) | ($true = ((cR @ X4)))) )), inference(cnf_transformation,[],[f30])). thf(f66,plain,( ( ! [X3 : $i] : (($true = sP4) | (((cR @ X3)) = $true) | ($true = ((cQ @ sK23)))) )), inference(cnf_transformation,[],[f30])). thf(f67,plain,( ( ! [X0 : $i] : (($true = sP4) | (((cQ @ X0)) != $true) | ($true != ((cR @ sK22)))) )), inference(cnf_transformation,[],[f30])). thf(f68,plain,( ( ! [X7 : $i] : (($true != sP1) | (((cR @ sK29)) = ((cR @ X7))) | (sP3 != $true)) )), inference(cnf_transformation,[],[f33])). thf(f69,plain,( ( ! [X4 : $i] : ((((cR @ (sK28 @ X4))) != ((cR @ X4))) | (sP3 != $true) | ($true = sP1)) )), inference(cnf_transformation,[],[f33])). thf(f70,plain,( ( ! [X3 : $i] : ((sP3 = $true) | ($true = sP1) | (((cR @ sK27)) = ((cR @ X3)))) )), inference(cnf_transformation,[],[f33])). thf(f71,plain,( ( ! [X0 : $i] : (($true != sP1) | (((cR @ X0)) != ((cR @ (sK26 @ X0)))) | (sP3 = $true)) )), inference(cnf_transformation,[],[f33])). thf(f72,plain,( ( ! [X7 : $i] : (($true != sP0) | (((cS @ X7)) = ((cS @ sK33))) | ($true != sP2)) )), inference(cnf_transformation,[],[f36])). thf(f73,plain,( ( ! [X4 : $i] : ((((cS @ X4)) != ((cS @ (sK32 @ X4)))) | ($true != sP2) | ($true = sP0)) )), inference(cnf_transformation,[],[f36])). thf(f74,plain,( ( ! [X3 : $i] : (($true = sP2) | (((cS @ X3)) = ((cS @ sK31))) | ($true = sP0)) )), inference(cnf_transformation,[],[f36])). thf(f75,plain,( ( ! [X0 : $i] : (($true = sP2) | ($true != sP0) | (((cS @ X0)) != ((cS @ (sK30 @ X0))))) )), inference(cnf_transformation,[],[f36])). thf(f76,plain,( (((cP @ sK37)) != $true) | (((cS @ sK36)) = $true) | ($true != sP1)), inference(cnf_transformation,[],[f39])). thf(f77,plain,( ( ! [X4 : $i,X5 : $i] : (($true != sP1) | (((cS @ X5)) != $true) | (((cP @ X4)) = $true)) )), inference(cnf_transformation,[],[f39])). thf(f78,plain,( ( ! [X3 : $i] : (($true = sP1) | (((cS @ sK35)) = $true) | (((cP @ X3)) = $true)) )), inference(cnf_transformation,[],[f39])). thf(f79,plain,( ( ! [X0 : $i] : (($true = sP1) | (((cS @ X0)) != $true) | (((cP @ sK34)) != $true)) )), inference(cnf_transformation,[],[f39])). thf(f80,plain,( ($true != sP0) | (((cP @ sK40)) = $true) | (((cQ @ sK41)) != $true)), inference(cnf_transformation,[],[f42])). thf(f81,plain,( ( ! [X4 : $i,X5 : $i] : (($true = ((cQ @ X4))) | ($true != ((cP @ X5))) | ($true != sP0)) )), inference(cnf_transformation,[],[f42])). thf(f82,plain,( ( ! [X3 : $i] : ((((cQ @ X3)) = $true) | ($true = sP0) | (((cP @ sK39)) = $true)) )), inference(cnf_transformation,[],[f42])). thf(f83,plain,( ( ! [X0 : $i] : ((((cQ @ sK38)) != $true) | (((cP @ X0)) != $true) | ($true = sP0)) )), inference(cnf_transformation,[],[f42])). thf(f84,plain,( (sP8 = $true) | (sP9 = $true)), inference(cnf_transformation,[],[f43])). thf(f85,plain,( (sP8 != $true) | (sP9 != $true)), inference(cnf_transformation,[],[f43])). thf(f87,definition,( ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )), introduced(theory,[fool_exhaustiveness_axiom])). thf(f88,plain,( ( ! [X7 : $i] : (($true != sP2) | ($false = ((cS @ sK33))) | ($true != sP0) | ($true = ((cS @ X7)))) )), inference(iff_proxy_clausification,[],[f72])). thf(f89,plain,( ( ! [X7 : $i] : (($false = ((cS @ X7))) | ($true != sP2) | ($true = ((cS @ sK33))) | ($true != sP0)) )), inference(iff_proxy_clausification,[],[f72])). thf(f90,plain,( ( ! [X0 : $i] : (($true = ((cR @ (sK26 @ X0)))) | (((cR @ X0)) = $true) | ($true != sP1) | (sP3 = $true)) )), inference(xor_proxy_clausification,[],[f71])). thf(f91,plain,( ( ! [X0 : $i] : ((sP3 = $true) | ($true != sP1) | (((cR @ X0)) = $false) | ($false = ((cR @ (sK26 @ X0))))) )), inference(xor_proxy_clausification,[],[f71])). thf(f92,plain,( ( ! [X3 : $i] : ((((cR @ X3)) = $false) | (sP3 = $true) | (((cR @ sK27)) = $true) | ($true = sP1)) )), inference(iff_proxy_clausification,[],[f70])). thf(f93,plain,( ( ! [X3 : $i] : ((((cR @ X3)) = $true) | (((cR @ sK27)) = $false) | ($true = sP1) | (sP3 = $true)) )), inference(iff_proxy_clausification,[],[f70])). thf(f94,plain,( ( ! [X6 : $i] : (($true = ((cQ @ X6))) | (sP5 = $true) | (((cQ @ (sK13 @ X6))) = $true) | (sP7 != $true)) )), inference(xor_proxy_clausification,[],[f52])). thf(f95,plain,( ( ! [X6 : $i] : ((sP7 != $true) | ($false = ((cQ @ (sK13 @ X6)))) | (sP5 = $true) | ($false = ((cQ @ X6)))) )), inference(xor_proxy_clausification,[],[f52])). thf(f96,plain,( ( ! [X3 : $i] : (($false = ((cQ @ sK11))) | (sP7 = $true) | (((cQ @ X3)) = $true) | (sP5 = $true)) )), inference(iff_proxy_clausification,[],[f54])). thf(f97,plain,( ( ! [X3 : $i] : ((sP7 = $true) | ($true = ((cQ @ sK11))) | (sP5 = $true) | ($false = ((cQ @ X3)))) )), inference(iff_proxy_clausification,[],[f54])). thf(f98,plain,( ( ! [X5 : $i] : ((sP5 != $true) | (sP7 != $true) | ($false = ((cQ @ X5))) | (((cQ @ sK12)) = $true)) )), inference(iff_proxy_clausification,[],[f53])). thf(f99,plain,( ( ! [X5 : $i] : (($true = ((cQ @ X5))) | (((cQ @ sK12)) = $false) | (sP7 != $true) | (sP5 != $true)) )), inference(iff_proxy_clausification,[],[f53])). thf(f100,plain,( ( ! [X6 : $i] : ((((cP @ (sK17 @ X6))) = $true) | ($true = sP4) | (sP6 != $true) | (((cP @ X6)) = $true)) )), inference(xor_proxy_clausification,[],[f56])). thf(f101,plain,( ( ! [X6 : $i] : (($false = ((cP @ X6))) | ($true = sP4) | (((cP @ (sK17 @ X6))) = $false) | (sP6 != $true)) )), inference(xor_proxy_clausification,[],[f56])). thf(f102,plain,( ( ! [X3 : $i] : (($true = sP0) | (((cS @ X3)) = $true) | ($false = ((cS @ sK31))) | ($true = sP2)) )), inference(iff_proxy_clausification,[],[f74])). thf(f103,plain,( ( ! [X3 : $i] : (($true = sP0) | (((cS @ sK31)) = $true) | ($true = sP2) | (((cS @ X3)) = $false)) )), inference(iff_proxy_clausification,[],[f74])). thf(f104,plain,( ( ! [X3 : $i] : (($false = ((cP @ sK15))) | (((cP @ X3)) = $true) | ($true = sP4) | (sP6 = $true)) )), inference(iff_proxy_clausification,[],[f58])). thf(f105,plain,( ( ! [X3 : $i] : (($true = sP4) | ($false = ((cP @ X3))) | (sP6 = $true) | ($true = ((cP @ sK15)))) )), inference(iff_proxy_clausification,[],[f58])). thf(f106,plain,( ( ! [X5 : $i] : ((sP6 != $true) | ($true != sP4) | ($false = ((cP @ X5))) | ($true = ((cP @ sK16)))) )), inference(iff_proxy_clausification,[],[f57])). thf(f107,plain,( ( ! [X5 : $i] : (($true != sP4) | ($false = ((cP @ sK16))) | (sP6 != $true) | ($true = ((cP @ X5)))) )), inference(iff_proxy_clausification,[],[f57])). thf(f108,plain,( ( ! [X0 : $i] : ((((cQ @ (sK10 @ X0))) = $true) | (sP7 = $true) | (sP5 != $true) | (((cQ @ X0)) = $true)) )), inference(xor_proxy_clausification,[],[f55])). thf(f109,plain,( ( ! [X0 : $i] : ((((cQ @ X0)) = $false) | (((cQ @ (sK10 @ X0))) = $false) | (sP5 != $true) | (sP7 = $true)) )), inference(xor_proxy_clausification,[],[f55])). thf(f110,plain,( ( ! [X0 : $i] : (($true = ((cP @ (sK14 @ X0)))) | (sP6 = $true) | (((cP @ X0)) = $true) | ($true != sP4)) )), inference(xor_proxy_clausification,[],[f59])). thf(f111,plain,( ( ! [X0 : $i] : (($false = ((cP @ (sK14 @ X0)))) | (((cP @ X0)) = $false) | ($true != sP4) | (sP6 = $true)) )), inference(xor_proxy_clausification,[],[f59])). thf(f112,plain,( ( ! [X4 : $i] : ((((cS @ X4)) = $true) | (((cS @ (sK32 @ X4))) = $true) | ($true = sP0) | ($true != sP2)) )), inference(xor_proxy_clausification,[],[f73])). thf(f113,plain,( ( ! [X4 : $i] : (($true != sP2) | (((cS @ X4)) = $false) | ($true = sP0) | (((cS @ (sK32 @ X4))) = $false)) )), inference(xor_proxy_clausification,[],[f73])). thf(f114,plain,( ( ! [X4 : $i] : (($true = sP1) | ($true = ((cR @ X4))) | ($true = ((cR @ (sK28 @ X4)))) | (sP3 != $true)) )), inference(xor_proxy_clausification,[],[f69])). thf(f115,plain,( ( ! [X4 : $i] : (($true = sP1) | ($false = ((cR @ (sK28 @ X4)))) | ($false = ((cR @ X4))) | (sP3 != $true)) )), inference(xor_proxy_clausification,[],[f69])). thf(f116,plain,( ( ! [X7 : $i] : (($true != sP1) | (((cR @ X7)) = $false) | (sP3 != $true) | (((cR @ sK29)) = $true)) )), inference(iff_proxy_clausification,[],[f68])). thf(f117,plain,( ( ! [X7 : $i] : ((((cR @ X7)) = $true) | ($true != sP1) | (((cR @ sK29)) = $false) | (sP3 != $true)) )), inference(iff_proxy_clausification,[],[f68])). thf(f118,plain,( ( ! [X0 : $i] : (($true = sP2) | ($true = ((cS @ (sK30 @ X0)))) | (((cS @ X0)) = $true) | ($true != sP0)) )), inference(xor_proxy_clausification,[],[f75])). thf(f119,plain,( ( ! [X0 : $i] : (($true = sP2) | (((cS @ X0)) = $false) | ($true != sP0) | ($false = ((cS @ (sK30 @ X0))))) )), inference(xor_proxy_clausification,[],[f75])). thf(f121,definition,( spl42_1 <=> ! [X7 : $i] : ($false = ((cS @ X7)))), introduced(definition,[new_symbols(definition,[spl42_1])],[avatar_definition])). thf(f122,plain,( ( ! [X7 : $i] : (($false = ((cS @ X7)))) ) | ~spl42_1), inference(avatar_component_clause,[],[f121])). thf(f124,definition,( spl42_2 <=> ($true = sP2)), introduced(definition,[new_symbols(definition,[spl42_2])],[avatar_definition])). thf(f128,definition,( spl42_3 <=> ($true = sP0)), introduced(definition,[new_symbols(definition,[spl42_3])],[avatar_definition])). thf(f132,definition,( spl42_4 <=> ($true = ((cS @ sK33)))), introduced(definition,[new_symbols(definition,[spl42_4])],[avatar_definition])). thf(f134,plain,( ($true = ((cS @ sK33))) | ~spl42_4), inference(avatar_component_clause,[],[f132])). thf(f135,plain,( spl42_1 | ~spl42_2 | ~spl42_3 | spl42_4), inference(avatar_split_clause,[],[f89,f132,f128,f124,f121])). thf(f137,definition,( spl42_5 <=> ! [X7 : $i] : ($true = ((cS @ X7)))), introduced(definition,[new_symbols(definition,[spl42_5])],[avatar_definition])). thf(f138,plain,( ( ! [X7 : $i] : (($true = ((cS @ X7)))) ) | ~spl42_5), inference(avatar_component_clause,[],[f137])). thf(f140,definition,( spl42_6 <=> ($false = ((cS @ sK33)))), introduced(definition,[new_symbols(definition,[spl42_6])],[avatar_definition])). thf(f142,plain,( ($false = ((cS @ sK33))) | ~spl42_6), inference(avatar_component_clause,[],[f140])). thf(f143,plain,( ~spl42_3 | spl42_5 | spl42_6 | ~spl42_2), inference(avatar_split_clause,[],[f88,f124,f140,f137,f128])). thf(f145,definition,( spl42_7 <=> (((cP @ sK39)) = $true)), introduced(definition,[new_symbols(definition,[spl42_7])],[avatar_definition])). thf(f146,plain,( (((cP @ sK39)) != $true) | spl42_7), inference(avatar_component_clause,[],[f145])). thf(f147,plain,( (((cP @ sK39)) = $true) | ~spl42_7), inference(avatar_component_clause,[],[f145])). thf(f149,definition,( spl42_8 <=> ! [X3 : $i] : (((cQ @ X3)) = $true)), introduced(definition,[new_symbols(definition,[spl42_8])],[avatar_definition])). thf(f150,plain,( ( ! [X3 : $i] : ((((cQ @ X3)) = $true)) ) | ~spl42_8), inference(avatar_component_clause,[],[f149])). thf(f151,plain,( spl42_7 | spl42_3 | spl42_8), inference(avatar_split_clause,[],[f82,f149,f128,f145])). thf(f153,definition,( spl42_9 <=> (((cP @ sK37)) = $true)), introduced(definition,[new_symbols(definition,[spl42_9])],[avatar_definition])). thf(f155,plain,( (((cP @ sK37)) != $true) | spl42_9), inference(avatar_component_clause,[],[f153])). thf(f157,definition,( spl42_10 <=> (((cS @ sK36)) = $true)), introduced(definition,[new_symbols(definition,[spl42_10])],[avatar_definition])). thf(f159,plain,( (((cS @ sK36)) = $true) | ~spl42_10), inference(avatar_component_clause,[],[f157])). thf(f161,definition,( spl42_11 <=> ($true = sP1)), introduced(definition,[new_symbols(definition,[spl42_11])],[avatar_definition])). thf(f164,plain,( ~spl42_9 | spl42_10 | ~spl42_11), inference(avatar_split_clause,[],[f76,f161,f157,f153])). thf(f166,definition,( spl42_12 <=> (sP3 = $true)), introduced(definition,[new_symbols(definition,[spl42_12])],[avatar_definition])). thf(f170,definition,( spl42_13 <=> ! [X0 : $i] : ((((cR @ X0)) = $false) | ($false = ((cR @ (sK26 @ X0)))))), introduced(definition,[new_symbols(definition,[spl42_13])],[avatar_definition])). thf(f171,plain,( ( ! [X0 : $i] : (($false = ((cR @ (sK26 @ X0)))) | (((cR @ X0)) = $false)) ) | ~spl42_13), inference(avatar_component_clause,[],[f170])). thf(f172,plain,( spl42_12 | spl42_13 | ~spl42_11), inference(avatar_split_clause,[],[f91,f161,f170,f166])). thf(f174,definition,( spl42_14 <=> ! [X0 : $i] : (($true = ((cR @ (sK26 @ X0)))) | (((cR @ X0)) = $true))), introduced(definition,[new_symbols(definition,[spl42_14])],[avatar_definition])). thf(f175,plain,( ( ! [X0 : $i] : (($true = ((cR @ (sK26 @ X0)))) | (((cR @ X0)) = $true)) ) | ~spl42_14), inference(avatar_component_clause,[],[f174])). thf(f176,plain,( ~spl42_11 | spl42_12 | spl42_14), inference(avatar_split_clause,[],[f90,f174,f166,f161])). thf(f178,definition,( spl42_15 <=> (((cR @ sK27)) = $false)), introduced(definition,[new_symbols(definition,[spl42_15])],[avatar_definition])). thf(f180,plain,( (((cR @ sK27)) = $false) | ~spl42_15), inference(avatar_component_clause,[],[f178])). thf(f182,definition,( spl42_16 <=> ! [X3 : $i] : (((cR @ X3)) = $true)), introduced(definition,[new_symbols(definition,[spl42_16])],[avatar_definition])). thf(f183,plain,( ( ! [X3 : $i] : ((((cR @ X3)) = $true)) ) | ~spl42_16), inference(avatar_component_clause,[],[f182])). thf(f184,plain,( spl42_12 | spl42_15 | spl42_11 | spl42_16), inference(avatar_split_clause,[],[f93,f182,f161,f178,f166])). thf(f186,definition,( spl42_17 <=> ! [X3 : $i] : (((cR @ X3)) = $false)), introduced(definition,[new_symbols(definition,[spl42_17])],[avatar_definition])). thf(f187,plain,( ( ! [X3 : $i] : ((((cR @ X3)) = $false)) ) | ~spl42_17), inference(avatar_component_clause,[],[f186])). thf(f189,definition,( spl42_18 <=> (((cR @ sK27)) = $true)), introduced(definition,[new_symbols(definition,[spl42_18])],[avatar_definition])). thf(f190,plain,( (((cR @ sK27)) != $true) | spl42_18), inference(avatar_component_clause,[],[f189])). thf(f191,plain,( (((cR @ sK27)) = $true) | ~spl42_18), inference(avatar_component_clause,[],[f189])). thf(f192,plain,( spl42_17 | spl42_11 | spl42_18 | spl42_12), inference(avatar_split_clause,[],[f92,f166,f189,f161,f186])). thf(f194,definition,( spl42_19 <=> (sP8 = $true)), introduced(definition,[new_symbols(definition,[spl42_19])],[avatar_definition])). thf(f197,plain,( spl42_2 | spl42_19 | spl42_12), inference(avatar_split_clause,[],[f50,f166,f194,f124])). thf(f199,definition,( spl42_20 <=> (sP5 = $true)), introduced(definition,[new_symbols(definition,[spl42_20])],[avatar_definition])). thf(f203,definition,( spl42_21 <=> ! [X6 : $i] : (($false = ((cQ @ (sK13 @ X6)))) | ($false = ((cQ @ X6))))), introduced(definition,[new_symbols(definition,[spl42_21])],[avatar_definition])). thf(f204,plain,( ( ! [X6 : $i] : (($false = ((cQ @ X6))) | ($false = ((cQ @ (sK13 @ X6))))) ) | ~spl42_21), inference(avatar_component_clause,[],[f203])). thf(f206,definition,( spl42_22 <=> (sP7 = $true)), introduced(definition,[new_symbols(definition,[spl42_22])],[avatar_definition])). thf(f209,plain,( spl42_20 | spl42_21 | ~spl42_22), inference(avatar_split_clause,[],[f95,f206,f203,f199])). thf(f211,definition,( spl42_23 <=> ! [X6 : $i] : (($true = ((cQ @ X6))) | (((cQ @ (sK13 @ X6))) = $true))), introduced(definition,[new_symbols(definition,[spl42_23])],[avatar_definition])). thf(f212,plain,( ( ! [X6 : $i] : (($true = ((cQ @ X6))) | (((cQ @ (sK13 @ X6))) = $true)) ) | ~spl42_23), inference(avatar_component_clause,[],[f211])). thf(f213,plain,( spl42_20 | spl42_23 | ~spl42_22), inference(avatar_split_clause,[],[f94,f206,f211,f199])). thf(f215,definition,( spl42_24 <=> ! [X5 : $i] : ($true != ((cP @ X5)))), introduced(definition,[new_symbols(definition,[spl42_24])],[avatar_definition])). thf(f216,plain,( ( ! [X5 : $i] : (($true != ((cP @ X5)))) ) | ~spl42_24), inference(avatar_component_clause,[],[f215])). thf(f217,plain,( spl42_8 | ~spl42_3 | spl42_24), inference(avatar_split_clause,[],[f81,f215,f128,f149])). thf(f219,definition,( spl42_25 <=> ($true = sP4)), introduced(definition,[new_symbols(definition,[spl42_25])],[avatar_definition])). thf(f223,definition,( spl42_26 <=> (((cQ @ sK24)) = $true)), introduced(definition,[new_symbols(definition,[spl42_26])],[avatar_definition])). thf(f225,plain,( (((cQ @ sK24)) = $true) | ~spl42_26), inference(avatar_component_clause,[],[f223])). thf(f227,definition,( spl42_27 <=> (((cR @ sK25)) = $true)), introduced(definition,[new_symbols(definition,[spl42_27])],[avatar_definition])). thf(f229,plain,( (((cR @ sK25)) != $true) | spl42_27), inference(avatar_component_clause,[],[f227])). thf(f230,plain,( ~spl42_25 | spl42_26 | ~spl42_27), inference(avatar_split_clause,[],[f64,f227,f223,f219])). thf(f232,definition,( spl42_28 <=> ! [X3 : $i] : ($false = ((cQ @ X3)))), introduced(definition,[new_symbols(definition,[spl42_28])],[avatar_definition])). thf(f233,plain,( ( ! [X3 : $i] : (($false = ((cQ @ X3)))) ) | ~spl42_28), inference(avatar_component_clause,[],[f232])). thf(f235,definition,( spl42_29 <=> ($true = ((cQ @ sK11)))), introduced(definition,[new_symbols(definition,[spl42_29])],[avatar_definition])). thf(f237,plain,( ($true = ((cQ @ sK11))) | ~spl42_29), inference(avatar_component_clause,[],[f235])). thf(f238,plain,( spl42_22 | spl42_28 | spl42_29 | spl42_20), inference(avatar_split_clause,[],[f97,f199,f235,f232,f206])). thf(f240,definition,( spl42_30 <=> ($false = ((cQ @ sK11)))), introduced(definition,[new_symbols(definition,[spl42_30])],[avatar_definition])). thf(f242,plain,( ($false = ((cQ @ sK11))) | ~spl42_30), inference(avatar_component_clause,[],[f240])). thf(f243,plain,( spl42_30 | spl42_20 | spl42_8 | spl42_22), inference(avatar_split_clause,[],[f96,f206,f149,f199,f240])). thf(f245,definition,( spl42_31 <=> (sP9 = $true)), introduced(definition,[new_symbols(definition,[spl42_31])],[avatar_definition])). thf(f248,plain,( spl42_19 | spl42_31), inference(avatar_split_clause,[],[f84,f245,f194])). thf(f250,definition,( spl42_32 <=> ($true = ((cR @ sK22)))), introduced(definition,[new_symbols(definition,[spl42_32])],[avatar_definition])). thf(f252,plain,( ($true != ((cR @ sK22))) | spl42_32), inference(avatar_component_clause,[],[f250])). thf(f254,definition,( spl42_33 <=> ! [X0 : $i] : (((cQ @ X0)) != $true)), introduced(definition,[new_symbols(definition,[spl42_33])],[avatar_definition])). thf(f255,plain,( ( ! [X0 : $i] : ((((cQ @ X0)) != $true)) ) | ~spl42_33), inference(avatar_component_clause,[],[f254])). thf(f256,plain,( spl42_25 | ~spl42_32 | spl42_33), inference(avatar_split_clause,[],[f67,f254,f250,f219])). thf(f258,definition,( spl42_34 <=> (sP6 = $true)), introduced(definition,[new_symbols(definition,[spl42_34])],[avatar_definition])). thf(f261,plain,( ~spl42_22 | spl42_34 | ~spl42_31), inference(avatar_split_clause,[],[f45,f245,f258,f206])). thf(f263,definition,( spl42_35 <=> (((cQ @ sK12)) = $false)), introduced(definition,[new_symbols(definition,[spl42_35])],[avatar_definition])). thf(f265,plain,( (((cQ @ sK12)) = $false) | ~spl42_35), inference(avatar_component_clause,[],[f263])). thf(f266,plain,( ~spl42_20 | spl42_35 | spl42_8 | ~spl42_22), inference(avatar_split_clause,[],[f99,f206,f149,f263,f199])). thf(f268,definition,( spl42_36 <=> (((cQ @ sK12)) = $true)), introduced(definition,[new_symbols(definition,[spl42_36])],[avatar_definition])). thf(f270,plain,( (((cQ @ sK12)) = $true) | ~spl42_36), inference(avatar_component_clause,[],[f268])). thf(f271,plain,( spl42_36 | spl42_28 | ~spl42_20 | ~spl42_22), inference(avatar_split_clause,[],[f98,f206,f199,f232,f268])). thf(f273,definition,( spl42_37 <=> ! [X6 : $i] : (($false = ((cP @ X6))) | (((cP @ (sK17 @ X6))) = $false))), introduced(definition,[new_symbols(definition,[spl42_37])],[avatar_definition])). thf(f274,plain,( ( ! [X6 : $i] : ((((cP @ (sK17 @ X6))) = $false) | ($false = ((cP @ X6)))) ) | ~spl42_37), inference(avatar_component_clause,[],[f273])). thf(f275,plain,( spl42_37 | spl42_25 | ~spl42_34), inference(avatar_split_clause,[],[f101,f258,f219,f273])). thf(f277,definition,( spl42_38 <=> ! [X6 : $i] : ((((cP @ (sK17 @ X6))) = $true) | (((cP @ X6)) = $true))), introduced(definition,[new_symbols(definition,[spl42_38])],[avatar_definition])). thf(f278,plain,( ( ! [X6 : $i] : ((((cP @ (sK17 @ X6))) = $true) | (((cP @ X6)) = $true)) ) | ~spl42_38), inference(avatar_component_clause,[],[f277])). thf(f279,plain,( spl42_38 | ~spl42_34 | spl42_25), inference(avatar_split_clause,[],[f100,f219,f258,f277])). thf(f281,definition,( spl42_39 <=> (((cQ @ sK38)) = $true)), introduced(definition,[new_symbols(definition,[spl42_39])],[avatar_definition])). thf(f283,plain,( (((cQ @ sK38)) != $true) | spl42_39), inference(avatar_component_clause,[],[f281])). thf(f284,plain,( spl42_24 | spl42_3 | ~spl42_39), inference(avatar_split_clause,[],[f83,f281,f128,f215])). thf(f285,plain,( spl42_19 | ~spl42_12 | ~spl42_2), inference(avatar_split_clause,[],[f51,f124,f166,f194])). thf(f287,definition,( spl42_40 <=> (((cS @ sK31)) = $true)), introduced(definition,[new_symbols(definition,[spl42_40])],[avatar_definition])). thf(f289,plain,( (((cS @ sK31)) = $true) | ~spl42_40), inference(avatar_component_clause,[],[f287])). thf(f290,plain,( spl42_2 | spl42_3 | spl42_1 | spl42_40), inference(avatar_split_clause,[],[f103,f287,f121,f128,f124])). thf(f292,definition,( spl42_41 <=> ($false = ((cS @ sK31)))), introduced(definition,[new_symbols(definition,[spl42_41])],[avatar_definition])). thf(f294,plain,( ($false = ((cS @ sK31))) | ~spl42_41), inference(avatar_component_clause,[],[f292])). thf(f295,plain,( spl42_2 | spl42_3 | spl42_41 | spl42_5), inference(avatar_split_clause,[],[f102,f137,f292,f128,f124])). thf(f297,definition,( spl42_42 <=> ($true = ((cP @ sK15)))), introduced(definition,[new_symbols(definition,[spl42_42])],[avatar_definition])). thf(f299,plain,( ($true = ((cP @ sK15))) | ~spl42_42), inference(avatar_component_clause,[],[f297])). thf(f301,definition,( spl42_43 <=> ! [X3 : $i] : ($false = ((cP @ X3)))), introduced(definition,[new_symbols(definition,[spl42_43])],[avatar_definition])). thf(f302,plain,( ( ! [X3 : $i] : (($false = ((cP @ X3)))) ) | ~spl42_43), inference(avatar_component_clause,[],[f301])). thf(f303,plain,( spl42_25 | spl42_42 | spl42_34 | spl42_43), inference(avatar_split_clause,[],[f105,f301,f258,f297,f219])). thf(f305,definition,( spl42_44 <=> ($false = ((cP @ sK15)))), introduced(definition,[new_symbols(definition,[spl42_44])],[avatar_definition])). thf(f307,plain,( ($false = ((cP @ sK15))) | ~spl42_44), inference(avatar_component_clause,[],[f305])). thf(f309,definition,( spl42_45 <=> ! [X3 : $i] : (((cP @ X3)) = $true)), introduced(definition,[new_symbols(definition,[spl42_45])],[avatar_definition])). thf(f310,plain,( ( ! [X3 : $i] : ((((cP @ X3)) = $true)) ) | ~spl42_45), inference(avatar_component_clause,[],[f309])). thf(f311,plain,( spl42_44 | spl42_34 | spl42_45 | spl42_25), inference(avatar_split_clause,[],[f104,f219,f309,f258,f305])). thf(f312,plain,( ~spl42_34 | ~spl42_31 | spl42_22), inference(avatar_split_clause,[],[f44,f206,f245,f258])). thf(f314,definition,( spl42_46 <=> (((cS @ sK35)) = $true)), introduced(definition,[new_symbols(definition,[spl42_46])],[avatar_definition])). thf(f315,plain,( (((cS @ sK35)) != $true) | spl42_46), inference(avatar_component_clause,[],[f314])). thf(f316,plain,( (((cS @ sK35)) = $true) | ~spl42_46), inference(avatar_component_clause,[],[f314])). thf(f317,plain,( spl42_46 | spl42_11 | spl42_45), inference(avatar_split_clause,[],[f78,f309,f161,f314])). thf(f318,plain,( ~spl42_12 | spl42_2 | ~spl42_19), inference(avatar_split_clause,[],[f49,f194,f124,f166])). thf(f320,definition,( spl42_47 <=> (((cP @ sK34)) = $true)), introduced(definition,[new_symbols(definition,[spl42_47])],[avatar_definition])). thf(f322,plain,( (((cP @ sK34)) != $true) | spl42_47), inference(avatar_component_clause,[],[f320])). thf(f324,definition,( spl42_48 <=> ! [X0 : $i] : (((cS @ X0)) != $true)), introduced(definition,[new_symbols(definition,[spl42_48])],[avatar_definition])). thf(f325,plain,( ( ! [X0 : $i] : ((((cS @ X0)) != $true)) ) | ~spl42_48), inference(avatar_component_clause,[],[f324])). thf(f326,plain,( ~spl42_47 | spl42_48 | spl42_11), inference(avatar_split_clause,[],[f79,f161,f324,f320])). thf(f327,plain,( ~spl42_19 | spl42_12 | ~spl42_2), inference(avatar_split_clause,[],[f48,f124,f166,f194])). thf(f329,definition,( spl42_49 <=> ($false = ((cP @ sK16)))), introduced(definition,[new_symbols(definition,[spl42_49])],[avatar_definition])). thf(f331,plain,( ($false = ((cP @ sK16))) | ~spl42_49), inference(avatar_component_clause,[],[f329])). thf(f332,plain,( spl42_49 | spl42_45 | ~spl42_25 | ~spl42_34), inference(avatar_split_clause,[],[f107,f258,f219,f309,f329])). thf(f334,definition,( spl42_50 <=> ($true = ((cP @ sK16)))), introduced(definition,[new_symbols(definition,[spl42_50])],[avatar_definition])). thf(f336,plain,( ($true = ((cP @ sK16))) | ~spl42_50), inference(avatar_component_clause,[],[f334])). thf(f337,plain,( ~spl42_25 | spl42_43 | ~spl42_34 | spl42_50), inference(avatar_split_clause,[],[f106,f334,f258,f301,f219])). thf(f339,definition,( spl42_51 <=> ! [X0 : $i] : ((((cQ @ X0)) = $false) | (((cQ @ (sK10 @ X0))) = $false))), introduced(definition,[new_symbols(definition,[spl42_51])],[avatar_definition])). thf(f340,plain,( ( ! [X0 : $i] : ((((cQ @ X0)) = $false) | (((cQ @ (sK10 @ X0))) = $false)) ) | ~spl42_51), inference(avatar_component_clause,[],[f339])). thf(f341,plain,( spl42_51 | ~spl42_20 | spl42_22), inference(avatar_split_clause,[],[f109,f206,f199,f339])). thf(f343,definition,( spl42_52 <=> ! [X0 : $i] : ((((cQ @ (sK10 @ X0))) = $true) | (((cQ @ X0)) = $true))), introduced(definition,[new_symbols(definition,[spl42_52])],[avatar_definition])). thf(f344,plain,( ( ! [X0 : $i] : ((((cQ @ X0)) = $true) | (((cQ @ (sK10 @ X0))) = $true)) ) | ~spl42_52), inference(avatar_component_clause,[],[f343])). thf(f345,plain,( ~spl42_20 | spl42_52 | spl42_22), inference(avatar_split_clause,[],[f108,f206,f343,f199])). thf(f347,definition,( spl42_53 <=> ! [X0 : $i] : (($false = ((cP @ (sK14 @ X0)))) | (((cP @ X0)) = $false))), introduced(definition,[new_symbols(definition,[spl42_53])],[avatar_definition])). thf(f348,plain,( ( ! [X0 : $i] : ((((cP @ X0)) = $false) | ($false = ((cP @ (sK14 @ X0))))) ) | ~spl42_53), inference(avatar_component_clause,[],[f347])). thf(f349,plain,( ~spl42_25 | spl42_53 | spl42_34), inference(avatar_split_clause,[],[f111,f258,f347,f219])). thf(f351,definition,( spl42_54 <=> ! [X0 : $i] : (($true = ((cP @ (sK14 @ X0)))) | (((cP @ X0)) = $true))), introduced(definition,[new_symbols(definition,[spl42_54])],[avatar_definition])). thf(f352,plain,( ( ! [X0 : $i] : ((((cP @ X0)) = $true) | ($true = ((cP @ (sK14 @ X0))))) ) | ~spl42_54), inference(avatar_component_clause,[],[f351])). thf(f353,plain,( spl42_54 | spl42_34 | ~spl42_25), inference(avatar_split_clause,[],[f110,f219,f258,f351])). thf(f355,definition,( spl42_55 <=> ($true = ((cR @ sK20)))), introduced(definition,[new_symbols(definition,[spl42_55])],[avatar_definition])). thf(f357,plain,( ($true = ((cR @ sK20))) | ~spl42_55), inference(avatar_component_clause,[],[f355])). thf(f359,definition,( spl42_56 <=> (((cS @ sK21)) = $true)), introduced(definition,[new_symbols(definition,[spl42_56])],[avatar_definition])). thf(f361,plain,( (((cS @ sK21)) != $true) | spl42_56), inference(avatar_component_clause,[],[f359])). thf(f362,plain,( ~spl42_20 | spl42_55 | ~spl42_56), inference(avatar_split_clause,[],[f60,f359,f355,f199])). thf(f364,definition,( spl42_57 <=> ! [X4 : $i] : ((((cS @ X4)) = $false) | (((cS @ (sK32 @ X4))) = $false))), introduced(definition,[new_symbols(definition,[spl42_57])],[avatar_definition])). thf(f365,plain,( ( ! [X4 : $i] : ((((cS @ (sK32 @ X4))) = $false) | (((cS @ X4)) = $false)) ) | ~spl42_57), inference(avatar_component_clause,[],[f364])). thf(f366,plain,( spl42_57 | spl42_3 | ~spl42_2), inference(avatar_split_clause,[],[f113,f124,f128,f364])). thf(f368,definition,( spl42_58 <=> ! [X4 : $i] : ((((cS @ X4)) = $true) | (((cS @ (sK32 @ X4))) = $true))), introduced(definition,[new_symbols(definition,[spl42_58])],[avatar_definition])). thf(f369,plain,( ( ! [X4 : $i] : ((((cS @ (sK32 @ X4))) = $true) | (((cS @ X4)) = $true)) ) | ~spl42_58), inference(avatar_component_clause,[],[f368])). thf(f370,plain,( ~spl42_2 | spl42_58 | spl42_3), inference(avatar_split_clause,[],[f112,f128,f368,f124])). thf(f372,definition,( spl42_59 <=> (((cS @ sK18)) = $true)), introduced(definition,[new_symbols(definition,[spl42_59])],[avatar_definition])). thf(f374,plain,( (((cS @ sK18)) != $true) | spl42_59), inference(avatar_component_clause,[],[f372])). thf(f376,definition,( spl42_60 <=> ! [X0 : $i] : (((cR @ X0)) != $true)), introduced(definition,[new_symbols(definition,[spl42_60])],[avatar_definition])). thf(f377,plain,( ( ! [X0 : $i] : ((((cR @ X0)) != $true)) ) | ~spl42_60), inference(avatar_component_clause,[],[f376])). thf(f378,plain,( ~spl42_59 | spl42_60 | spl42_20), inference(avatar_split_clause,[],[f63,f199,f376,f372])). thf(f380,definition,( spl42_61 <=> (((cR @ sK19)) = $true)), introduced(definition,[new_symbols(definition,[spl42_61])],[avatar_definition])). thf(f382,plain,( (((cR @ sK19)) = $true) | ~spl42_61), inference(avatar_component_clause,[],[f380])). thf(f383,plain,( spl42_5 | spl42_61 | spl42_20), inference(avatar_split_clause,[],[f62,f199,f380,f137])). thf(f384,plain,( spl42_31 | ~spl42_34 | ~spl42_22), inference(avatar_split_clause,[],[f47,f206,f258,f245])). thf(f386,definition,( spl42_62 <=> ($true = ((cQ @ sK23)))), introduced(definition,[new_symbols(definition,[spl42_62])],[avatar_definition])). thf(f388,plain,( ($true = ((cQ @ sK23))) | ~spl42_62), inference(avatar_component_clause,[],[f386])). thf(f389,plain,( spl42_62 | spl42_25 | spl42_16), inference(avatar_split_clause,[],[f66,f182,f219,f386])). thf(f390,plain,( spl42_33 | spl42_16 | ~spl42_25), inference(avatar_split_clause,[],[f65,f219,f182,f254])). thf(f392,definition,( spl42_63 <=> (((cP @ sK40)) = $true)), introduced(definition,[new_symbols(definition,[spl42_63])],[avatar_definition])). thf(f394,plain,( (((cP @ sK40)) = $true) | ~spl42_63), inference(avatar_component_clause,[],[f392])). thf(f396,definition,( spl42_64 <=> (((cQ @ sK41)) = $true)), introduced(definition,[new_symbols(definition,[spl42_64])],[avatar_definition])). thf(f398,plain,( (((cQ @ sK41)) != $true) | spl42_64), inference(avatar_component_clause,[],[f396])). thf(f399,plain,( spl42_63 | ~spl42_3 | ~spl42_64), inference(avatar_split_clause,[],[f80,f396,f128,f392])). thf(f400,plain,( spl42_22 | spl42_31 | spl42_34), inference(avatar_split_clause,[],[f46,f258,f245,f206])). thf(f401,plain,( spl42_5 | spl42_60 | ~spl42_20), inference(avatar_split_clause,[],[f61,f199,f376,f137])). thf(f403,definition,( spl42_65 <=> ! [X4 : $i] : (($false = ((cR @ (sK28 @ X4)))) | ($false = ((cR @ X4))))), introduced(definition,[new_symbols(definition,[spl42_65])],[avatar_definition])). thf(f404,plain,( ( ! [X4 : $i] : (($false = ((cR @ X4))) | ($false = ((cR @ (sK28 @ X4))))) ) | ~spl42_65), inference(avatar_component_clause,[],[f403])). thf(f405,plain,( spl42_11 | ~spl42_12 | spl42_65), inference(avatar_split_clause,[],[f115,f403,f166,f161])). thf(f407,definition,( spl42_66 <=> ! [X4 : $i] : (($true = ((cR @ X4))) | ($true = ((cR @ (sK28 @ X4)))))), introduced(definition,[new_symbols(definition,[spl42_66])],[avatar_definition])). thf(f408,plain,( ( ! [X4 : $i] : (($true = ((cR @ (sK28 @ X4)))) | ($true = ((cR @ X4)))) ) | ~spl42_66), inference(avatar_component_clause,[],[f407])). thf(f409,plain,( ~spl42_12 | spl42_11 | spl42_66), inference(avatar_split_clause,[],[f114,f407,f161,f166])). thf(f410,plain,( ~spl42_19 | ~spl42_31), inference(avatar_split_clause,[],[f85,f245,f194])). thf(f412,definition,( spl42_67 <=> (((cR @ sK29)) = $false)), introduced(definition,[new_symbols(definition,[spl42_67])],[avatar_definition])). thf(f414,plain,( (((cR @ sK29)) = $false) | ~spl42_67), inference(avatar_component_clause,[],[f412])). thf(f415,plain,( ~spl42_11 | ~spl42_12 | spl42_16 | spl42_67), inference(avatar_split_clause,[],[f117,f412,f182,f166,f161])). thf(f417,definition,( spl42_68 <=> (((cR @ sK29)) = $true)), introduced(definition,[new_symbols(definition,[spl42_68])],[avatar_definition])). thf(f419,plain,( (((cR @ sK29)) = $true) | ~spl42_68), inference(avatar_component_clause,[],[f417])). thf(f420,plain,( spl42_17 | spl42_68 | ~spl42_11 | ~spl42_12), inference(avatar_split_clause,[],[f116,f166,f161,f417,f186])). thf(f421,plain,( ~spl42_11 | spl42_45 | spl42_48), inference(avatar_split_clause,[],[f77,f324,f309,f161])). thf(f423,definition,( spl42_69 <=> ! [X0 : $i] : ((((cS @ X0)) = $false) | ($false = ((cS @ (sK30 @ X0)))))), introduced(definition,[new_symbols(definition,[spl42_69])],[avatar_definition])). thf(f424,plain,( ( ! [X0 : $i] : ((((cS @ X0)) = $false) | ($false = ((cS @ (sK30 @ X0))))) ) | ~spl42_69), inference(avatar_component_clause,[],[f423])). thf(f425,plain,( spl42_69 | spl42_2 | ~spl42_3), inference(avatar_split_clause,[],[f119,f128,f124,f423])). thf(f427,definition,( spl42_70 <=> ! [X0 : $i] : (($true = ((cS @ (sK30 @ X0)))) | (((cS @ X0)) = $true))), introduced(definition,[new_symbols(definition,[spl42_70])],[avatar_definition])). thf(f428,plain,( ( ! [X0 : $i] : ((((cS @ X0)) = $true) | ($true = ((cS @ (sK30 @ X0))))) ) | ~spl42_70), inference(avatar_component_clause,[],[f427])). thf(f429,plain,( ~spl42_3 | spl42_2 | spl42_70), inference(avatar_split_clause,[],[f118,f427,f124,f128])). thf(f468,plain,( $false | (~spl42_8 | spl42_64)), inference(forward_subsumption_resolution,[],[f398,f150])). thf(f469,plain,( ~spl42_8 | spl42_64), inference(avatar_contradiction_clause,[],[f468])). thf(f470,plain,( ($true != $true) | (~spl42_5 | spl42_59)), inference(constrained_superposition,[],[f374,f138])). thf(f471,plain,( $false | (~spl42_5 | spl42_59)), inference(trivial_inequality_removal,[],[f470])). thf(f472,plain,( ~spl42_5 | spl42_59), inference(avatar_contradiction_clause,[],[f471])). thf(f473,plain,( ( ! [X0 : $i] : ((((cR @ X0)) = $false) | ($true != $true)) ) | ~spl42_60), inference(constrained_superposition,[],[f377,f87])). thf(f474,plain,( ( ! [X0 : $i] : ((((cR @ X0)) = $false)) ) | ~spl42_60), inference(trivial_inequality_removal,[],[f473])). thf(f475,plain,( spl42_17 | ~spl42_60), inference(avatar_split_clause,[],[f474,f376,f186])). thf(f476,plain,( $false | (~spl42_16 | ~spl42_60)), inference(forward_subsumption_resolution,[],[f183,f377])). thf(f477,plain,( ~spl42_16 | ~spl42_60), inference(avatar_contradiction_clause,[],[f476])). thf(f485,plain,( ($true != $true) | (~spl42_45 | spl42_47)), inference(constrained_superposition,[],[f322,f310])). thf(f486,plain,( $false | (~spl42_45 | spl42_47)), inference(trivial_inequality_removal,[],[f485])). thf(f487,plain,( ~spl42_45 | spl42_47), inference(avatar_contradiction_clause,[],[f486])). thf(f493,plain,( ($false = $true) | (~spl42_4 | ~spl42_6)), inference(forward_demodulation,[],[f142,f134])). thf(f494,plain,( $false | (~spl42_4 | ~spl42_6)), inference(trivial_inequality_removal,[],[f493])). thf(f495,plain,( ~spl42_4 | ~spl42_6), inference(avatar_contradiction_clause,[],[f494])). thf(f496,plain,( ( ! [X0 : $i] : (($true = ((cR @ (sK26 @ X0))))) ) | (~spl42_14 | ~spl42_60)), inference(forward_subsumption_resolution,[],[f175,f377])). thf(f497,plain,( $false | (~spl42_24 | ~spl42_45)), inference(forward_subsumption_resolution,[],[f216,f310])). thf(f498,plain,( ~spl42_24 | ~spl42_45), inference(avatar_contradiction_clause,[],[f497])). thf(f500,plain,( $false | (spl42_9 | ~spl42_45)), inference(forward_subsumption_resolution,[],[f155,f310])). thf(f501,plain,( spl42_9 | ~spl42_45), inference(avatar_contradiction_clause,[],[f500])). thf(f502,plain,( $false | (~spl42_14 | ~spl42_60)), inference(forward_subsumption_resolution,[],[f496,f377])). thf(f503,plain,( ~spl42_14 | ~spl42_60), inference(avatar_contradiction_clause,[],[f502])). thf(f511,plain,( ($true != $true) | (~spl42_5 | spl42_56)), inference(constrained_superposition,[],[f361,f138])). thf(f512,plain,( $false | (~spl42_5 | spl42_56)), inference(trivial_inequality_removal,[],[f511])). thf(f513,plain,( ~spl42_5 | spl42_56), inference(avatar_contradiction_clause,[],[f512])). thf(f527,plain,( ( ! [X6 : $i] : (($false = $true) | ($false = ((cQ @ X6)))) ) | (~spl42_8 | ~spl42_21)), inference(forward_demodulation,[],[f204,f150])). thf(f528,plain,( ( ! [X6 : $i] : (($false = ((cQ @ X6)))) ) | (~spl42_8 | ~spl42_21)), inference(trivial_inequality_removal,[],[f527])). thf(f529,plain,( ($false = $true) | (~spl42_8 | ~spl42_21)), inference(forward_demodulation,[],[f528,f150])). thf(f530,plain,( $false | (~spl42_8 | ~spl42_21)), inference(trivial_inequality_removal,[],[f529])). thf(f531,plain,( ~spl42_8 | ~spl42_21), inference(avatar_contradiction_clause,[],[f530])). thf(f532,plain,( ( ! [X6 : $i] : (($false = $true) | ($false = ((cP @ X6)))) ) | (~spl42_37 | ~spl42_45)), inference(forward_demodulation,[],[f274,f310])). thf(f533,plain,( ( ! [X6 : $i] : (($false = ((cP @ X6)))) ) | (~spl42_37 | ~spl42_45)), inference(trivial_inequality_removal,[],[f532])). thf(f534,plain,( ($false = $true) | (~spl42_37 | ~spl42_45)), inference(forward_demodulation,[],[f533,f310])). thf(f535,plain,( $false | (~spl42_37 | ~spl42_45)), inference(trivial_inequality_removal,[],[f534])). thf(f536,plain,( ~spl42_37 | ~spl42_45), inference(avatar_contradiction_clause,[],[f535])). thf(f546,plain,( ($false = $true) | (~spl42_17 | ~spl42_55)), inference(constrained_superposition,[],[f357,f187])). thf(f551,plain,( $false | (~spl42_17 | ~spl42_55)), inference(trivial_inequality_removal,[],[f546])). thf(f552,plain,( ~spl42_17 | ~spl42_55), inference(avatar_contradiction_clause,[],[f551])). thf(f553,plain,( ($false = $true) | (~spl42_15 | ~spl42_18)), inference(forward_demodulation,[],[f191,f180])). thf(f554,plain,( $false | (~spl42_15 | ~spl42_18)), inference(trivial_inequality_removal,[],[f553])). thf(f555,plain,( ~spl42_15 | ~spl42_18), inference(avatar_contradiction_clause,[],[f554])). thf(f593,plain,( ( ! [X4 : $i] : (($true = ((cR @ (sK28 @ X4))))) ) | (~spl42_60 | ~spl42_66)), inference(forward_subsumption_resolution,[],[f408,f377])). thf(f594,plain,( $false | (~spl42_60 | ~spl42_66)), inference(forward_subsumption_resolution,[],[f593,f377])). thf(f595,plain,( ~spl42_60 | ~spl42_66), inference(avatar_contradiction_clause,[],[f594])). thf(f596,plain,( $false | (~spl42_8 | spl42_39)), inference(forward_subsumption_resolution,[],[f283,f150])). thf(f597,plain,( ~spl42_8 | spl42_39), inference(avatar_contradiction_clause,[],[f596])). thf(f598,plain,( ($false = $true) | (~spl42_17 | ~spl42_61)), inference(forward_demodulation,[],[f382,f187])). thf(f599,plain,( $false | (~spl42_17 | ~spl42_61)), inference(trivial_inequality_removal,[],[f598])). thf(f600,plain,( ~spl42_17 | ~spl42_61), inference(avatar_contradiction_clause,[],[f599])). thf(f621,plain,( ($false = $true) | (~spl42_29 | ~spl42_30)), inference(forward_demodulation,[],[f242,f237])). thf(f622,plain,( $false | (~spl42_29 | ~spl42_30)), inference(trivial_inequality_removal,[],[f621])). thf(f623,plain,( ~spl42_29 | ~spl42_30), inference(avatar_contradiction_clause,[],[f622])). thf(f624,plain,( ($false = $true) | (~spl42_28 | ~spl42_62)), inference(constrained_superposition,[],[f233,f388])). thf(f627,plain,( ($false = $true) | (~spl42_28 | ~spl42_62)), inference(constrained_superposition,[],[f388,f233])). thf(f631,plain,( $false | (~spl42_28 | ~spl42_62)), inference(trivial_inequality_removal,[],[f627])). thf(f632,plain,( ~spl42_28 | ~spl42_62), inference(avatar_contradiction_clause,[],[f631])). thf(f635,plain,( $false | (~spl42_28 | ~spl42_62)), inference(trivial_inequality_removal,[],[f624])). thf(f636,plain,( ~spl42_28 | ~spl42_62), inference(avatar_contradiction_clause,[],[f635])). thf(f639,plain,( ( ! [X0 : $i] : (($true != $true) | (((cP @ X0)) = $true)) ) | (~spl42_24 | ~spl42_38)), inference(constrained_superposition,[],[f216,f278])). thf(f643,plain,( ($true != $true) | (~spl42_7 | ~spl42_24)), inference(constrained_superposition,[],[f216,f147])). thf(f651,plain,( $false | (~spl42_7 | ~spl42_24)), inference(trivial_inequality_removal,[],[f643])). thf(f652,plain,( ~spl42_7 | ~spl42_24), inference(avatar_contradiction_clause,[],[f651])). thf(f653,plain,( ( ! [X0 : $i] : ((((cP @ X0)) = $true)) ) | (~spl42_24 | ~spl42_38)), inference(trivial_inequality_removal,[],[f639])). thf(f655,plain,( $false | (~spl42_24 | ~spl42_38)), inference(forward_subsumption_resolution,[],[f653,f216])). thf(f656,plain,( ~spl42_24 | ~spl42_38), inference(avatar_contradiction_clause,[],[f655])). thf(f666,plain,( ( ! [X0 : $i] : ((((cR @ X0)) = $false) | ($false = $true)) ) | (~spl42_13 | ~spl42_16)), inference(constrained_superposition,[],[f171,f183])). thf(f669,plain,( ($true != $true) | (~spl42_16 | spl42_32)), inference(constrained_superposition,[],[f252,f183])). thf(f670,plain,( ($false = $true) | (~spl42_15 | ~spl42_16)), inference(constrained_superposition,[],[f180,f183])). thf(f678,plain,( $false | (~spl42_15 | ~spl42_16)), inference(trivial_inequality_removal,[],[f670])). thf(f679,plain,( ~spl42_15 | ~spl42_16), inference(avatar_contradiction_clause,[],[f678])). thf(f682,plain,( $false | (~spl42_16 | spl42_32)), inference(trivial_inequality_removal,[],[f669])). thf(f683,plain,( ~spl42_16 | spl42_32), inference(avatar_contradiction_clause,[],[f682])). thf(f684,plain,( ( ! [X0 : $i] : ((((cR @ X0)) = $false)) ) | (~spl42_13 | ~spl42_16)), inference(trivial_inequality_removal,[],[f666])). thf(f688,plain,( ($false = $true) | (~spl42_13 | ~spl42_16)), inference(forward_demodulation,[],[f684,f183])). thf(f689,plain,( $false | (~spl42_13 | ~spl42_16)), inference(trivial_inequality_removal,[],[f688])). thf(f690,plain,( ~spl42_13 | ~spl42_16), inference(avatar_contradiction_clause,[],[f689])). thf(f701,plain,( $false | (~spl42_8 | ~spl42_33)), inference(forward_subsumption_resolution,[],[f255,f150])). thf(f702,plain,( ~spl42_8 | ~spl42_33), inference(avatar_contradiction_clause,[],[f701])). thf(f704,plain,( ($true != $true) | (~spl42_16 | spl42_27)), inference(constrained_superposition,[],[f229,f183])). thf(f706,plain,( $false | (~spl42_16 | spl42_27)), inference(trivial_inequality_removal,[],[f704])). thf(f707,plain,( ~spl42_16 | spl42_27), inference(avatar_contradiction_clause,[],[f706])). thf(f727,plain,( ( ! [X4 : $i] : (($false = $true) | ($false = ((cR @ (sK28 @ X4))))) ) | (~spl42_16 | ~spl42_65)), inference(forward_demodulation,[],[f404,f183])). thf(f728,plain,( ( ! [X4 : $i] : (($false = ((cR @ (sK28 @ X4))))) ) | (~spl42_16 | ~spl42_65)), inference(trivial_inequality_removal,[],[f727])). thf(f729,plain,( ($false = $true) | (~spl42_16 | ~spl42_65)), inference(forward_demodulation,[],[f728,f183])). thf(f730,plain,( $false | (~spl42_16 | ~spl42_65)), inference(trivial_inequality_removal,[],[f729])). thf(f731,plain,( ~spl42_16 | ~spl42_65), inference(avatar_contradiction_clause,[],[f730])). thf(f733,plain,( ($false = $true) | (~spl42_7 | ~spl42_43)), inference(forward_demodulation,[],[f147,f302])). thf(f734,plain,( $false | (~spl42_7 | ~spl42_43)), inference(trivial_inequality_removal,[],[f733])). thf(f735,plain,( ~spl42_7 | ~spl42_43), inference(avatar_contradiction_clause,[],[f734])). thf(f756,plain,( ($false = $true) | (~spl42_49 | ~spl42_50)), inference(forward_demodulation,[],[f336,f331])). thf(f757,plain,( $false | (~spl42_49 | ~spl42_50)), inference(trivial_inequality_removal,[],[f756])). thf(f758,plain,( ~spl42_49 | ~spl42_50), inference(avatar_contradiction_clause,[],[f757])). thf(f759,plain,( ( ! [X0 : $i] : ((((cS @ X0)) = $true) | ($true != $true)) ) | (~spl42_48 | ~spl42_58)), inference(constrained_superposition,[],[f325,f369])). thf(f766,plain,( ( ! [X0 : $i] : ((((cS @ X0)) = $false) | ($true != $true)) ) | ~spl42_48), inference(constrained_superposition,[],[f325,f87])). thf(f773,plain,( ( ! [X0 : $i] : ((((cS @ X0)) = $false)) ) | ~spl42_48), inference(trivial_inequality_removal,[],[f766])). thf(f774,plain,( ( ! [X0 : $i] : ((((cS @ X0)) = $true)) ) | (~spl42_48 | ~spl42_58)), inference(trivial_inequality_removal,[],[f759])). thf(f775,plain,( spl42_1 | ~spl42_48), inference(avatar_split_clause,[],[f773,f324,f121])). thf(f776,plain,( $false | (~spl42_48 | ~spl42_58)), inference(forward_subsumption_resolution,[],[f774,f325])). thf(f777,plain,( ~spl42_48 | ~spl42_58), inference(avatar_contradiction_clause,[],[f776])). thf(f784,plain,( ($false = $true) | (~spl42_67 | ~spl42_68)), inference(forward_demodulation,[],[f419,f414])). thf(f785,plain,( $false | (~spl42_67 | ~spl42_68)), inference(trivial_inequality_removal,[],[f784])). thf(f786,plain,( ~spl42_67 | ~spl42_68), inference(avatar_contradiction_clause,[],[f785])). thf(f791,plain,( ($true != $true) | (~spl42_18 | ~spl42_60)), inference(constrained_superposition,[],[f377,f191])). thf(f796,plain,( $false | (~spl42_18 | ~spl42_60)), inference(trivial_inequality_removal,[],[f791])). thf(f797,plain,( ~spl42_18 | ~spl42_60), inference(avatar_contradiction_clause,[],[f796])). thf(f799,plain,( ( ! [X0 : $i] : (($false = $true) | (((cS @ X0)) = $false)) ) | (~spl42_5 | ~spl42_57)), inference(constrained_superposition,[],[f138,f365])). thf(f805,plain,( ( ! [X0 : $i] : ((((cS @ X0)) = $false)) ) | (~spl42_5 | ~spl42_57)), inference(trivial_inequality_removal,[],[f799])). thf(f815,plain,( ($false = $true) | (~spl42_5 | ~spl42_57)), inference(forward_demodulation,[],[f805,f138])). thf(f816,plain,( $false | (~spl42_5 | ~spl42_57)), inference(trivial_inequality_removal,[],[f815])). thf(f817,plain,( ~spl42_5 | ~spl42_57), inference(avatar_contradiction_clause,[],[f816])). thf(f818,plain,( ( ! [X0 : $i] : ((((cQ @ (sK10 @ X0))) = $true)) ) | (~spl42_33 | ~spl42_52)), inference(forward_subsumption_resolution,[],[f344,f255])). thf(f819,plain,( $false | (~spl42_33 | ~spl42_52)), inference(forward_subsumption_resolution,[],[f818,f255])). thf(f820,plain,( ~spl42_33 | ~spl42_52), inference(avatar_contradiction_clause,[],[f819])). thf(f842,plain,( (((cR @ sK27)) = $false) | ($true != $true) | spl42_18), inference(constrained_superposition,[],[f190,f87])). thf(f843,plain,( (((cR @ sK27)) = $false) | spl42_18), inference(trivial_inequality_removal,[],[f842])). thf(f846,plain,( spl42_15 | spl42_18), inference(avatar_split_clause,[],[f843,f189,f178])). thf(f871,plain,( ( ! [X6 : $i] : ((((cQ @ (sK13 @ X6))) = $true)) ) | (~spl42_23 | ~spl42_33)), inference(forward_subsumption_resolution,[],[f212,f255])). thf(f872,plain,( $false | (~spl42_23 | ~spl42_33)), inference(forward_subsumption_resolution,[],[f871,f255])). thf(f873,plain,( ~spl42_23 | ~spl42_33), inference(avatar_contradiction_clause,[],[f872])). thf(f878,plain,( ($false = $true) | (~spl42_26 | ~spl42_28)), inference(forward_demodulation,[],[f225,f233])). thf(f879,plain,( $false | (~spl42_26 | ~spl42_28)), inference(trivial_inequality_removal,[],[f878])). thf(f880,plain,( ~spl42_26 | ~spl42_28), inference(avatar_contradiction_clause,[],[f879])). thf(f923,plain,( ($false = $true) | (~spl42_43 | ~spl42_63)), inference(constrained_superposition,[],[f302,f394])). thf(f934,plain,( $false | (~spl42_43 | ~spl42_63)), inference(trivial_inequality_removal,[],[f923])). thf(f935,plain,( ~spl42_43 | ~spl42_63), inference(avatar_contradiction_clause,[],[f934])). thf(f938,plain,( ($false = $true) | (~spl42_1 | ~spl42_10)), inference(forward_demodulation,[],[f159,f122])). thf(f939,plain,( $false | (~spl42_1 | ~spl42_10)), inference(trivial_inequality_removal,[],[f938])). thf(f940,plain,( ~spl42_1 | ~spl42_10), inference(avatar_contradiction_clause,[],[f939])). thf(f941,plain,( ($true != $true) | (~spl42_5 | spl42_46)), inference(constrained_superposition,[],[f315,f138])). thf(f942,plain,( $false | (~spl42_5 | spl42_46)), inference(trivial_inequality_removal,[],[f941])). thf(f943,plain,( ~spl42_5 | spl42_46), inference(avatar_contradiction_clause,[],[f942])). thf(f945,plain,( ($true != $true) | (spl42_7 | ~spl42_45)), inference(constrained_superposition,[],[f146,f310])). thf(f946,plain,( $false | (spl42_7 | ~spl42_45)), inference(trivial_inequality_removal,[],[f945])). thf(f947,plain,( spl42_7 | ~spl42_45), inference(avatar_contradiction_clause,[],[f946])). thf(f950,plain,( ( ! [X0 : $i] : (($false = $true) | (((cQ @ (sK10 @ X0))) = $false)) ) | (~spl42_8 | ~spl42_51)), inference(forward_demodulation,[],[f340,f150])). thf(f951,plain,( ( ! [X0 : $i] : ((((cQ @ (sK10 @ X0))) = $false)) ) | (~spl42_8 | ~spl42_51)), inference(trivial_inequality_removal,[],[f950])). thf(f952,plain,( ($false = $true) | (~spl42_8 | ~spl42_51)), inference(forward_demodulation,[],[f951,f150])). thf(f953,plain,( $false | (~spl42_8 | ~spl42_51)), inference(trivial_inequality_removal,[],[f952])). thf(f954,plain,( ~spl42_8 | ~spl42_51), inference(avatar_contradiction_clause,[],[f953])). thf(f1025,plain,( ( ! [X0 : $i] : ((((cS @ X0)) = $true)) ) | (~spl42_48 | ~spl42_70)), inference(forward_subsumption_resolution,[],[f428,f325])). thf(f1026,plain,( $false | (~spl42_48 | ~spl42_70)), inference(forward_subsumption_resolution,[],[f1025,f325])). thf(f1027,plain,( ~spl42_48 | ~spl42_70), inference(avatar_contradiction_clause,[],[f1026])). thf(f1042,plain,( ( ! [X0 : $i] : ((((cS @ X0)) = $false) | ($false = $true)) ) | (~spl42_5 | ~spl42_69)), inference(forward_demodulation,[],[f424,f138])). thf(f1043,plain,( ( ! [X0 : $i] : ((((cS @ X0)) = $false)) ) | (~spl42_5 | ~spl42_69)), inference(trivial_inequality_removal,[],[f1042])). thf(f1044,plain,( ($false = $true) | (~spl42_5 | ~spl42_69)), inference(forward_demodulation,[],[f1043,f138])). thf(f1045,plain,( $false | (~spl42_5 | ~spl42_69)), inference(trivial_inequality_removal,[],[f1044])). thf(f1046,plain,( ~spl42_5 | ~spl42_69), inference(avatar_contradiction_clause,[],[f1045])). thf(f1085,plain,( ($false = $true) | (~spl42_40 | ~spl42_41)), inference(forward_demodulation,[],[f294,f289])). thf(f1086,plain,( $false | (~spl42_40 | ~spl42_41)), inference(trivial_inequality_removal,[],[f1085])). thf(f1087,plain,( ~spl42_40 | ~spl42_41), inference(avatar_contradiction_clause,[],[f1086])). thf(f1109,plain,( ($false = $true) | (~spl42_35 | ~spl42_36)), inference(forward_demodulation,[],[f270,f265])). thf(f1110,plain,( $false | (~spl42_35 | ~spl42_36)), inference(trivial_inequality_removal,[],[f1109])). thf(f1111,plain,( ~spl42_35 | ~spl42_36), inference(avatar_contradiction_clause,[],[f1110])). thf(f1152,plain,( ($false = $true) | (~spl42_1 | ~spl42_46)), inference(constrained_superposition,[],[f316,f122])). thf(f1160,plain,( $false | (~spl42_1 | ~spl42_46)), inference(trivial_inequality_removal,[],[f1152])). thf(f1161,plain,( ~spl42_1 | ~spl42_46), inference(avatar_contradiction_clause,[],[f1160])). thf(f1163,plain,( ( ! [X0 : $i] : ((((cP @ X0)) = $true)) ) | (~spl42_24 | ~spl42_54)), inference(forward_subsumption_resolution,[],[f352,f216])). thf(f1164,plain,( $false | (~spl42_24 | ~spl42_54)), inference(forward_subsumption_resolution,[],[f1163,f216])). thf(f1165,plain,( ~spl42_24 | ~spl42_54), inference(avatar_contradiction_clause,[],[f1164])). thf(f1212,plain,( ( ! [X0 : $i] : (($false = $true) | ($false = ((cP @ (sK14 @ X0))))) ) | (~spl42_45 | ~spl42_53)), inference(forward_demodulation,[],[f348,f310])). thf(f1213,plain,( ( ! [X0 : $i] : (($false = ((cP @ (sK14 @ X0))))) ) | (~spl42_45 | ~spl42_53)), inference(trivial_inequality_removal,[],[f1212])). thf(f1214,plain,( ($false = $true) | (~spl42_45 | ~spl42_53)), inference(forward_demodulation,[],[f1213,f310])). thf(f1215,plain,( $false | (~spl42_45 | ~spl42_53)), inference(trivial_inequality_removal,[],[f1214])). thf(f1216,plain,( ~spl42_45 | ~spl42_53), inference(avatar_contradiction_clause,[],[f1215])). thf(f1250,plain,( ($false = $true) | (~spl42_42 | ~spl42_44)), inference(forward_demodulation,[],[f307,f299])). thf(f1251,plain,( $false | (~spl42_42 | ~spl42_44)), inference(trivial_inequality_removal,[],[f1250])). thf(f1252,plain,( ~spl42_42 | ~spl42_44), inference(avatar_contradiction_clause,[],[f1251])). cnf(s1, plain, spl42_1 | ~spl42_2 | ~spl42_3 | spl42_4, inference(sat_conversion,[],[f135])). cnf(s2, plain, ~spl42_2 | ~spl42_3 | spl42_5 | spl42_6, inference(sat_conversion,[],[f143])). cnf(s3, plain, spl42_3 | spl42_7 | spl42_8, inference(sat_conversion,[],[f151])). cnf(s4, plain, ~spl42_9 | spl42_10 | ~spl42_11, inference(sat_conversion,[],[f164])). cnf(s5, plain, ~spl42_11 | spl42_12 | spl42_13, inference(sat_conversion,[],[f172])). cnf(s6, plain, ~spl42_11 | spl42_12 | spl42_14, inference(sat_conversion,[],[f176])). cnf(s7, plain, spl42_11 | spl42_12 | spl42_15 | spl42_16, inference(sat_conversion,[],[f184])). cnf(s8, plain, spl42_11 | spl42_12 | spl42_17 | spl42_18, inference(sat_conversion,[],[f192])). cnf(s9, plain, spl42_2 | spl42_12 | spl42_19, inference(sat_conversion,[],[f197])). cnf(s10, plain, spl42_20 | spl42_21 | ~spl42_22, inference(sat_conversion,[],[f209])). cnf(s11, plain, spl42_20 | ~spl42_22 | spl42_23, inference(sat_conversion,[],[f213])). cnf(s12, plain, ~spl42_3 | spl42_8 | spl42_24, inference(sat_conversion,[],[f217])). cnf(s13, plain, ~spl42_25 | spl42_26 | ~spl42_27, inference(sat_conversion,[],[f230])). cnf(s14, plain, spl42_20 | spl42_22 | spl42_28 | spl42_29, inference(sat_conversion,[],[f238])). cnf(s15, plain, spl42_8 | spl42_20 | spl42_22 | spl42_30, inference(sat_conversion,[],[f243])). cnf(s16, plain, spl42_19 | spl42_31, inference(sat_conversion,[],[f248])). cnf(s17, plain, spl42_25 | ~spl42_32 | spl42_33, inference(sat_conversion,[],[f256])). cnf(s18, plain, ~spl42_22 | ~spl42_31 | spl42_34, inference(sat_conversion,[],[f261])). cnf(s19, plain, spl42_8 | ~spl42_20 | ~spl42_22 | spl42_35, inference(sat_conversion,[],[f266])). cnf(s20, plain, ~spl42_20 | ~spl42_22 | spl42_28 | spl42_36, inference(sat_conversion,[],[f271])). cnf(s21, plain, spl42_25 | ~spl42_34 | spl42_37, inference(sat_conversion,[],[f275])). cnf(s22, plain, spl42_25 | ~spl42_34 | spl42_38, inference(sat_conversion,[],[f279])). cnf(s23, plain, spl42_3 | spl42_24 | ~spl42_39, inference(sat_conversion,[],[f284])). cnf(s24, plain, ~spl42_2 | ~spl42_12 | spl42_19, inference(sat_conversion,[],[f285])). cnf(s25, plain, spl42_1 | spl42_2 | spl42_3 | spl42_40, inference(sat_conversion,[],[f290])). cnf(s26, plain, spl42_2 | spl42_3 | spl42_5 | spl42_41, inference(sat_conversion,[],[f295])). cnf(s27, plain, spl42_25 | spl42_34 | spl42_42 | spl42_43, inference(sat_conversion,[],[f303])). cnf(s28, plain, spl42_25 | spl42_34 | spl42_44 | spl42_45, inference(sat_conversion,[],[f311])). cnf(s29, plain, spl42_22 | ~spl42_31 | ~spl42_34, inference(sat_conversion,[],[f312])). cnf(s30, plain, spl42_11 | spl42_45 | spl42_46, inference(sat_conversion,[],[f317])). cnf(s31, plain, spl42_2 | ~spl42_12 | ~spl42_19, inference(sat_conversion,[],[f318])). cnf(s32, plain, spl42_11 | ~spl42_47 | spl42_48, inference(sat_conversion,[],[f326])). cnf(s33, plain, ~spl42_2 | spl42_12 | ~spl42_19, inference(sat_conversion,[],[f327])). cnf(s34, plain, ~spl42_25 | ~spl42_34 | spl42_45 | spl42_49, inference(sat_conversion,[],[f332])). cnf(s35, plain, ~spl42_25 | ~spl42_34 | spl42_43 | spl42_50, inference(sat_conversion,[],[f337])). cnf(s36, plain, ~spl42_20 | spl42_22 | spl42_51, inference(sat_conversion,[],[f341])). cnf(s37, plain, ~spl42_20 | spl42_22 | spl42_52, inference(sat_conversion,[],[f345])). cnf(s38, plain, ~spl42_25 | spl42_34 | spl42_53, inference(sat_conversion,[],[f349])). cnf(s39, plain, ~spl42_25 | spl42_34 | spl42_54, inference(sat_conversion,[],[f353])). cnf(s40, plain, ~spl42_20 | spl42_55 | ~spl42_56, inference(sat_conversion,[],[f362])). cnf(s41, plain, ~spl42_2 | spl42_3 | spl42_57, inference(sat_conversion,[],[f366])). cnf(s42, plain, ~spl42_2 | spl42_3 | spl42_58, inference(sat_conversion,[],[f370])). cnf(s43, plain, spl42_20 | ~spl42_59 | spl42_60, inference(sat_conversion,[],[f378])). cnf(s44, plain, spl42_5 | spl42_20 | spl42_61, inference(sat_conversion,[],[f383])). cnf(s45, plain, ~spl42_22 | spl42_31 | ~spl42_34, inference(sat_conversion,[],[f384])). cnf(s46, plain, spl42_16 | spl42_25 | spl42_62, inference(sat_conversion,[],[f389])). cnf(s47, plain, spl42_16 | ~spl42_25 | spl42_33, inference(sat_conversion,[],[f390])). cnf(s48, plain, ~spl42_3 | spl42_63 | ~spl42_64, inference(sat_conversion,[],[f399])). cnf(s49, plain, spl42_22 | spl42_31 | spl42_34, inference(sat_conversion,[],[f400])). cnf(s50, plain, spl42_5 | ~spl42_20 | spl42_60, inference(sat_conversion,[],[f401])). cnf(s51, plain, spl42_11 | ~spl42_12 | spl42_65, inference(sat_conversion,[],[f405])). cnf(s52, plain, spl42_11 | ~spl42_12 | spl42_66, inference(sat_conversion,[],[f409])). cnf(s53, plain, ~spl42_19 | ~spl42_31, inference(sat_conversion,[],[f410])). cnf(s54, plain, ~spl42_11 | ~spl42_12 | spl42_16 | spl42_67, inference(sat_conversion,[],[f415])). cnf(s55, plain, ~spl42_11 | ~spl42_12 | spl42_17 | spl42_68, inference(sat_conversion,[],[f420])). cnf(s56, plain, ~spl42_11 | spl42_45 | spl42_48, inference(sat_conversion,[],[f421])). cnf(s57, plain, spl42_2 | ~spl42_3 | spl42_69, inference(sat_conversion,[],[f425])). cnf(s58, plain, spl42_2 | ~spl42_3 | spl42_70, inference(sat_conversion,[],[f429])). cnf(s59, plain, ~spl42_8 | spl42_64, inference(sat_conversion,[],[f469])). cnf(s60, plain, ~spl42_5 | spl42_59, inference(sat_conversion,[],[f472])). cnf(s61, plain, spl42_17 | ~spl42_60, inference(sat_conversion,[],[f475])). cnf(s62, plain, ~spl42_16 | ~spl42_60, inference(sat_conversion,[],[f477])). cnf(s63, plain, ~spl42_45 | spl42_47, inference(sat_conversion,[],[f487])). cnf(s66, plain, ~spl42_4 | ~spl42_6, inference(sat_conversion,[],[f495])). cnf(s67, plain, ~spl42_24 | ~spl42_45, inference(sat_conversion,[],[f498])). cnf(s68, plain, spl42_9 | ~spl42_45, inference(sat_conversion,[],[f501])). cnf(s69, plain, ~spl42_14 | ~spl42_60, inference(sat_conversion,[],[f503])). cnf(s71, plain, ~spl42_5 | spl42_56, inference(sat_conversion,[],[f513])). cnf(s73, plain, ~spl42_8 | ~spl42_21, inference(sat_conversion,[],[f531])). cnf(s74, plain, ~spl42_37 | ~spl42_45, inference(sat_conversion,[],[f536])). cnf(s76, plain, ~spl42_17 | ~spl42_55, inference(sat_conversion,[],[f552])). cnf(s77, plain, ~spl42_15 | ~spl42_18, inference(sat_conversion,[],[f555])). cnf(s79, plain, ~spl42_60 | ~spl42_66, inference(sat_conversion,[],[f595])). cnf(s80, plain, ~spl42_8 | spl42_39, inference(sat_conversion,[],[f597])). cnf(s81, plain, ~spl42_17 | ~spl42_61, inference(sat_conversion,[],[f600])). cnf(s84, plain, ~spl42_29 | ~spl42_30, inference(sat_conversion,[],[f623])). cnf(s85, plain, ~spl42_28 | ~spl42_62, inference(sat_conversion,[],[f632])). cnf(s87, plain, ~spl42_28 | ~spl42_62, inference(sat_conversion,[],[f636])). cnf(s91, plain, ~spl42_7 | ~spl42_24, inference(sat_conversion,[],[f652])). cnf(s93, plain, ~spl42_24 | ~spl42_38, inference(sat_conversion,[],[f656])). cnf(s97, plain, ~spl42_15 | ~spl42_16, inference(sat_conversion,[],[f679])). cnf(s99, plain, ~spl42_16 | spl42_32, inference(sat_conversion,[],[f683])). cnf(s101, plain, ~spl42_13 | ~spl42_16, inference(sat_conversion,[],[f690])). cnf(s103, plain, ~spl42_8 | ~spl42_33, inference(sat_conversion,[],[f702])). cnf(s104, plain, ~spl42_16 | spl42_27, inference(sat_conversion,[],[f707])). cnf(s106, plain, ~spl42_16 | ~spl42_65, inference(sat_conversion,[],[f731])). cnf(s107, plain, ~spl42_7 | ~spl42_43, inference(sat_conversion,[],[f735])). cnf(s112, plain, ~spl42_49 | ~spl42_50, inference(sat_conversion,[],[f758])). cnf(s116, plain, spl42_1 | ~spl42_48, inference(sat_conversion,[],[f775])). cnf(s117, plain, ~spl42_48 | ~spl42_58, inference(sat_conversion,[],[f777])). cnf(s119, plain, ~spl42_67 | ~spl42_68, inference(sat_conversion,[],[f786])). cnf(s121, plain, ~spl42_18 | ~spl42_60, inference(sat_conversion,[],[f797])). cnf(s127, plain, ~spl42_5 | ~spl42_57, inference(sat_conversion,[],[f817])). cnf(s128, plain, ~spl42_33 | ~spl42_52, inference(sat_conversion,[],[f820])). cnf(s130, plain, spl42_15 | spl42_18, inference(sat_conversion,[],[f846])). cnf(s131, plain, ~spl42_23 | ~spl42_33, inference(sat_conversion,[],[f873])). cnf(s132, plain, ~spl42_26 | ~spl42_28, inference(sat_conversion,[],[f880])). cnf(s138, plain, ~spl42_43 | ~spl42_63, inference(sat_conversion,[],[f935])). cnf(s140, plain, ~spl42_1 | ~spl42_10, inference(sat_conversion,[],[f940])). cnf(s141, plain, ~spl42_5 | spl42_46, inference(sat_conversion,[],[f943])). cnf(s142, plain, spl42_7 | ~spl42_45, inference(sat_conversion,[],[f947])). cnf(s143, plain, ~spl42_8 | ~spl42_51, inference(sat_conversion,[],[f954])). cnf(s150, plain, ~spl42_48 | ~spl42_70, inference(sat_conversion,[],[f1027])). cnf(s152, plain, ~spl42_5 | ~spl42_69, inference(sat_conversion,[],[f1046])). cnf(s154, plain, ~spl42_40 | ~spl42_41, inference(sat_conversion,[],[f1087])). cnf(s156, plain, ~spl42_35 | ~spl42_36, inference(sat_conversion,[],[f1111])). cnf(s161, plain, ~spl42_1 | ~spl42_46, inference(sat_conversion,[],[f1161])). cnf(s162, plain, ~spl42_24 | ~spl42_54, inference(sat_conversion,[],[f1165])). cnf(s169, plain, ~spl42_45 | ~spl42_53, inference(sat_conversion,[],[f1216])). cnf(s171, plain, ~spl42_42 | ~spl42_44, inference(sat_conversion,[],[f1252])). cnf(s172, plain, spl42_15 | spl42_31 | spl42_12 | spl42_54 | spl42_33 | spl42_51 | spl42_11 | ~spl42_59, inference(rat,[],[s45,s39,s36,s17,s43,s99,s121,s7,s130])). cnf(s173, plain, spl42_12 | spl42_38 | spl42_54 | spl42_21 | spl42_33 | spl42_51 | spl42_11 | ~spl42_5 | spl42_2, inference(rat,[],[s10,s40,s49,s76,s22,s8,s47,s77,s97,s172,s53,s9,s71,s60])). cnf(s174, plain, spl42_7 | ~spl42_5 | spl42_3 | spl42_2 | spl42_48, inference(rat,[],[s18,s22,s36,s47,s43,s16,s106,s79,s31,s51,s52,s173,s93,s162,s23,s73,s80,s103,s143,s56,s3,s142,s60])). cnf(s175, plain, ~spl42_22 | ~spl42_20 | ~spl42_27 | spl42_31 | spl42_45 | spl42_8 | spl42_43, inference(rat,[],[s171,s27,s28,s13,s132,s20,s156,s45,s19])). cnf(s176, plain, ~spl42_16 | spl42_31 | spl42_45 | spl42_8 | spl42_43 | ~spl42_59, inference(rat,[],[s112,s34,s35,s17,s128,s37,s49,s175,s43,s62,s99,s104])). cnf(s177, plain, ~spl42_22 | spl42_20 | spl42_16 | spl42_31 | spl42_45 | spl42_43, inference(rat,[],[s171,s27,s28,s47,s131,s45,s11])). cnf(s178, plain, spl42_12 | spl42_45 | spl42_11 | spl42_8 | spl42_43 | ~spl42_59 | ~spl42_56 | spl42_2, inference(rat,[],[s112,s34,s35,s46,s87,s14,s84,s15,s49,s177,s40,s76,s8,s77,s7,s176,s53,s9])). cnf(s179, plain, ~spl42_22 | ~spl42_20 | ~spl42_31 | spl42_16 | spl42_45 | spl42_8 | spl42_43, inference(rat,[],[s112,s34,s35,s46,s87,s20,s156,s18,s19])). cnf(s180, plain, ~spl42_20 | ~spl42_31 | spl42_43 | spl42_16 | spl42_45 | spl42_8, inference(rat,[],[s171,s27,s28,s47,s128,s29,s37,s179])). cnf(s181, plain, spl42_45 | spl42_11 | spl42_2 | spl42_8 | spl42_43 | ~spl42_59 | ~spl42_56, inference(rat,[],[s180,s43,s16,s106,s79,s31,s51,s52,s178])). cnf(s182, plain, spl42_11 | spl42_8 | spl42_43 | ~spl42_59 | ~spl42_56 | spl42_2 | spl42_48, inference(rat,[],[s181,s63,s32])). cnf(s183, plain, ~spl42_22 | ~spl42_31 | ~spl42_20 | ~spl42_27 | spl42_37 | spl42_8, inference(rat,[],[s132,s13,s20,s21,s156,s18,s19])). cnf(s184, plain, ~spl42_16 | spl42_37 | spl42_53 | ~spl42_11 | spl42_8 | ~spl42_59 | spl42_2, inference(rat,[],[s17,s38,s128,s29,s37,s183,s16,s31,s43,s5,s62,s99,s101,s104])). cnf(s185, plain, ~spl42_12 | spl42_17 | spl42_16 | ~spl42_11, inference(rat,[],[s119,s55,s54])). cnf(s186, plain, ~spl42_22 | spl42_31 | ~spl42_20 | spl42_16 | spl42_53 | spl42_8, inference(rat,[],[s85,s46,s20,s38,s156,s45,s19])). cnf(s187, plain, ~spl42_20 | spl42_16 | spl42_37 | spl42_53 | ~spl42_11 | spl42_8 | ~spl42_56 | spl42_2, inference(rat,[],[s47,s128,s21,s37,s49,s186,s53,s9,s185,s76,s40])). cnf(s188, plain, ~spl42_22 | ~spl42_31 | spl42_20 | spl42_16 | spl42_37, inference(rat,[],[s47,s21,s131,s18,s11])). cnf(s189, plain, spl42_8 | spl42_43 | spl42_48 | ~spl42_59 | ~spl42_56 | spl42_2, inference(rat,[],[s85,s14,s46,s84,s38,s15,s29,s188,s16,s31,s6,s69,s43,s187,s184,s74,s169,s56,s182])). cnf(s190, plain, spl42_3 | spl42_2 | spl42_1, inference(rat,[],[s189,s80,s23,s91,s107,s174,s60,s71,s26,s154,s25,s116])). cnf(s192, plain, ~spl42_22 | spl42_31 | ~spl42_20 | spl42_16 | spl42_54 | spl42_8, inference(rat,[],[s85,s46,s20,s39,s156,s45,s19])). cnf(s193, plain, ~spl42_60 | spl42_11 | spl42_38 | spl42_54 | spl42_8 | spl42_5 | spl42_2, inference(rat,[],[s47,s128,s22,s37,s49,s192,s53,s44,s9,s81,s52,s61,s62,s79])). cnf(s194, plain, ~spl42_22 | spl42_31 | ~spl42_32 | spl42_20 | spl42_54, inference(rat,[],[s17,s39,s131,s45,s11])). cnf(s195, plain, ~spl42_16 | spl42_20 | spl42_11 | spl42_38 | spl42_54 | spl42_8 | spl42_2, inference(rat,[],[s132,s14,s13,s84,s22,s15,s49,s194,s53,s9,s51,s99,s104,s106])). cnf(s196, plain, ~spl42_22 | ~spl42_31 | spl42_16 | spl42_20 | spl42_38, inference(rat,[],[s47,s22,s131,s18,s11])). cnf(s197, plain, ~spl42_31 | spl42_16 | spl42_20 | spl42_38 | spl42_54 | spl42_8, inference(rat,[],[s85,s14,s46,s84,s39,s15,s29,s196])). cnf(s198, plain, spl42_11 | spl42_38 | spl42_2 | spl42_54 | spl42_8 | spl42_5, inference(rat,[],[s77,s8,s7,s31,s16,s197,s195,s81,s44,s50,s193])). cnf(s199, plain, spl42_8 | ~spl42_3 | spl42_2 | spl42_48, inference(rat,[],[s198,s56,s67,s93,s162,s12,s152,s57])). cnf(s200, plain, ~spl42_11 | spl42_22 | ~spl42_25 | spl42_13 | spl42_2 | spl42_48, inference(rat,[],[s29,s16,s38,s31,s169,s5,s56])). cnf(s201, plain, ~spl42_16 | spl42_43 | spl42_21 | spl42_33 | spl42_5 | spl42_2 | spl42_48, inference(rat,[],[s112,s34,s35,s49,s53,s9,s63,s51,s32,s200,s10,s50,s17,s62,s99,s101,s106])). cnf(s202, plain, ~spl42_11 | spl42_14 | ~spl42_22 | spl42_25 | spl42_2 | spl42_48, inference(rat,[],[s18,s16,s21,s31,s74,s6,s56])). cnf(s203, plain, ~spl42_20 | spl42_25 | spl42_43 | spl42_51 | spl42_5 | spl42_2 | spl42_48, inference(rat,[],[s171,s28,s27,s45,s53,s9,s63,s52,s32,s202,s69,s79,s36,s50])). cnf(s204, plain, ~spl42_11 | spl42_17 | spl42_22 | spl42_25 | spl42_16 | spl42_2 | spl42_48, inference(rat,[],[s49,s53,s21,s9,s74,s185,s56])). cnf(s205, plain, spl42_34 | spl42_45 | spl42_25 | spl42_43, inference(rat,[],[s171,s28,s27])). cnf(s206, plain, spl42_2 | spl42_1, inference(rat,[],[s77,s8,s7,s31,s16,s29,s205,s63,s32,s204,s81,s10,s44,s203,s47,s201,s138,s48,s59,s73,s103,s143,s199,s152,s57,s190,s116])). cnf(s207, plain, ~spl42_22 | ~spl42_31 | ~spl42_20 | ~spl42_27 | spl42_38 | spl42_8, inference(rat,[],[s132,s13,s20,s22,s156,s18,s19])). cnf(s208, plain, ~spl42_16 | spl42_11 | spl42_38 | spl42_54 | spl42_8 | ~spl42_59 | ~spl42_2, inference(rat,[],[s17,s39,s128,s29,s37,s207,s16,s33,s43,s51,s62,s99,s104,s106])). cnf(s209, plain, spl42_12 | spl42_17 | spl42_16 | spl42_11, inference(rat,[],[s77,s8,s7])). cnf(s210, plain, ~spl42_20 | spl42_16 | spl42_11 | spl42_38 | spl42_54 | spl42_8 | ~spl42_56 | ~spl42_2, inference(rat,[],[s47,s128,s22,s37,s49,s192,s53,s24,s209,s76,s40])). cnf(s211, plain, spl42_8 | ~spl42_5 | spl42_1, inference(rat,[],[s33,s52,s16,s79,s197,s43,s210,s208,s56,s67,s93,s162,s12,s116,s71,s60,s41,s127,s206])). cnf(s212, plain, ~spl42_31 | ~spl42_22 | ~spl42_25 | spl42_13 | spl42_43 | spl42_1, inference(rat,[],[s63,s34,s32,s112,s5,s35,s24,s18,s53,s116,s206])). cnf(s213, plain, ~spl42_16 | ~spl42_5 | spl42_1, inference(rat,[],[s56,s169,s51,s38,s33,s45,s16,s212,s36,s43,s17,s62,s99,s101,s106,s116,s60,s143,s103,s138,s48,s59,s211,s41,s127,s206])). cnf(s214, plain, ~spl42_31 | ~spl42_20 | ~spl42_5 | spl42_1, inference(rat,[],[s56,s74,s209,s21,s24,s18,s53,s116,s206,s47,s213,s103,s36,s143,s211,s76,s40,s71])). cnf(s215, plain, ~spl42_20 | ~spl42_5 | spl42_1, inference(rat,[],[s32,s63,s185,s205,s33,s45,s16,s214,s76,s36,s40,s116,s71,s143,s138,s48,s59,s41,s127,s206,s47,s213,s103,s211])). cnf(s216, plain, ~spl42_31 | ~spl42_5 | spl42_1, inference(rat,[],[s32,s63,s6,s205,s24,s29,s53,s116,s138,s48,s59,s41,s127,s206,s47,s213,s103,s10,s73,s211,s69,s43,s215,s60])). cnf(s217, plain, ~spl42_5 | spl42_1, inference(rat,[],[s56,s74,s52,s21,s33,s49,s16,s216,s79,s10,s43,s215,s47,s213,s73,s103,s211,s60,s116,s206])). cnf(s218, plain, ~spl42_3 | spl42_1, inference(rat,[],[s66,s1,s2,s206,s217])). cnf(s219, plain, ~spl42_45 | ~spl42_31 | spl42_1, inference(rat,[],[s85,s14,s46,s84,s38,s15,s29,s188,s50,s69,s101,s6,s5,s80,s32,s23,s63,s67,s74,s169,s116,s217,s218,s24,s53,s206])). cnf(s220, plain, ~spl42_22 | ~spl42_16 | ~spl42_31 | spl42_1, inference(rat,[],[s107,s212,s3,s17,s73,s131,s10,s11,s218,s101,s99,s50,s62,s217])). cnf(s221, plain, ~spl42_25 | spl42_34 | spl42_22 | spl42_20 | ~spl42_27 | spl42_3, inference(rat,[],[s15,s80,s84,s23,s14,s162,s132,s39,s13])). cnf(s222, plain, ~spl42_16 | ~spl42_31 | spl42_1, inference(rat,[],[s3,s103,s107,s17,s205,s221,s29,s220,s50,s62,s99,s104,s217,s218,s219])). cnf(s223, plain, spl42_8 | ~spl42_20 | spl42_16 | spl42_45 | ~spl42_31 | spl42_3, inference(rat,[],[s107,s180,s3])). cnf(s224, plain, ~spl42_20 | spl42_16 | spl42_3 | spl42_45 | ~spl42_31, inference(rat,[],[s18,s22,s36,s93,s23,s47,s80,s103,s143,s223])). cnf(s225, plain, ~spl42_31 | spl42_1, inference(rat,[],[s224,s44,s81,s209,s222,s56,s219,s24,s53,s116,s206,s217,s218])). cnf(s226, plain, ~spl42_25 | spl42_8 | spl42_53 | spl42_20 | ~spl42_27 | spl42_31, inference(rat,[],[s84,s14,s15,s132,s45,s13,s38])). cnf(s227, plain, ~spl42_16 | spl42_1, inference(rat,[],[s11,s49,s131,s21,s17,s226,s80,s23,s67,s74,s169,s56,s50,s51,s62,s99,s104,s106,s116,s217,s218,s33,s16,s225,s206])). cnf(s228, plain, ~spl42_20 | spl42_1, inference(rat,[],[s47,s21,s128,s49,s37,s186,s80,s23,s67,s74,s169,s56,s52,s79,s50,s116,s217,s218,s33,s16,s225,s206,s227])). cnf(s229, plain, ~spl42_25 | spl42_1, inference(rat,[],[s112,s35,s34,s107,s49,s3,s11,s103,s131,s47,s218,s63,s32,s185,s81,s44,s228,s217,s33,s16,s225,s206,s227,s116])). cnf(s230, plain, spl42_8 | spl42_1, inference(rat,[],[s84,s14,s15,s177,s107,s3,s218,s63,s32,s185,s81,s44,s228,s217,s33,s16,s225,s206,s116,s87,s46,s229,s227])). cnf(s231, plain, spl42_1, inference(rat,[],[s22,s49,s93,s10,s23,s73,s80,s230,s229,s228,s225,s218])). cnf(s232, plain, ~spl42_46, inference(rat,[],[s161,s231])). cnf(s234, plain, ~spl42_10, inference(rat,[],[s140,s231])). cnf(s235, plain, ~spl42_5, inference(rat,[],[s141,s232])). cnf(s237, plain, ~spl42_45 | ~spl42_16 | ~spl42_31, inference(rat,[],[s29,s38,s10,s17,s73,s103,s12,s42,s9,s117,s51,s32,s4,s63,s67,s68,s169,s53,s106,s99,s50,s62,s234,s235])). cnf(s238, plain, ~spl42_22 | spl42_43 | ~spl42_16 | ~spl42_31, inference(rat,[],[s112,s34,s35,s17,s131,s18,s11,s99,s50,s62,s237,s235])). cnf(s239, plain, spl42_43 | ~spl42_16 | ~spl42_31, inference(rat,[],[s205,s221,s29,s238,s104,s50,s62,s58,s150,s56,s24,s5,s30,s237,s101,s53,s232,s235])). cnf(s240, plain, ~spl42_16 | ~spl42_31, inference(rat,[],[s29,s221,s10,s17,s73,s103,s3,s107,s239,s58,s24,s150,s5,s56,s30,s237,s50,s62,s99,s101,s104,s53,s232,s235])). cnf(s241, plain, ~spl42_45 | ~spl42_20 | ~spl42_31, inference(rat,[],[s21,s18,s47,s36,s103,s143,s12,s42,s9,s117,s52,s32,s4,s63,s67,s68,s74,s53,s240,s79,s50,s234,s235])). cnf(s242, plain, ~spl42_20 | ~spl42_31, inference(rat,[],[s58,s24,s150,s6,s56,s224,s30,s241,s69,s50,s53,s240,s232,s235])). cnf(s243, plain, ~spl42_45 | ~spl42_31, inference(rat,[],[s15,s84,s80,s14,s23,s87,s58,s46,s24,s150,s38,s209,s32,s29,s4,s188,s63,s67,s68,s74,s169,s53,s240,s81,s44,s242,s234,s235])). cnf(s244, plain, spl42_8 | ~spl42_31, inference(rat,[],[s197,s93,s162,s12,s42,s117,s56,s9,s185,s30,s243,s81,s44,s242,s240,s53,s235,s232])). cnf(s245, plain, ~spl42_31, inference(rat,[],[s205,s138,s29,s48,s10,s47,s59,s73,s103,s244,s42,s9,s117,s185,s56,s30,s243,s81,s44,s242,s240,s53,s232,s235])). cnf(s246, plain, spl42_19, inference(rat,[],[s16,s245])). cnf(s247, plain, ~spl42_45 | ~spl42_16, inference(rat,[],[s11,s49,s131,s21,s17,s226,s80,s23,s58,s33,s150,s51,s32,s4,s63,s67,s68,s74,s169,s106,s104,s99,s50,s62,s245,s246,s234,s235])). cnf(s248, plain, spl42_8 | ~spl42_16, inference(rat,[],[s132,s14,s13,s84,s22,s15,s49,s194,s93,s162,s12,s104,s99,s50,s62,s42,s117,s56,s31,s5,s30,s247,s101,s245,s246,s232,s235])). cnf(s249, plain, ~spl42_16, inference(rat,[],[s112,s35,s34,s138,s49,s48,s10,s17,s59,s73,s103,s248,s42,s31,s117,s5,s56,s30,s247,s50,s62,s99,s101,s245,s246,s232,s235])). cnf(s250, plain, ~spl42_45 | spl42_8 | ~spl42_20, inference(rat,[],[s47,s21,s128,s49,s37,s186,s74,s169,s249,s245])). cnf(s251, plain, spl42_8 | ~spl42_20, inference(rat,[],[s47,s22,s128,s49,s37,s192,s93,s162,s12,s42,s31,s117,s6,s56,s30,s250,s69,s50,s249,s245,s246,s232,s235])). cnf(s252, plain, ~spl42_45 | ~spl42_20, inference(rat,[],[s58,s33,s150,s52,s32,s23,s4,s63,s67,s68,s79,s50,s80,s251,s246,s234,s235])). cnf(s253, plain, ~spl42_20, inference(rat,[],[s42,s48,s31,s117,s138,s6,s56,s205,s30,s252,s45,s47,s36,s59,s103,s143,s251,s69,s50,s246,s232,s245,s249,s235])). cnf(s254, plain, spl42_61, inference(rat,[],[s44,s235,s253])). cnf(s255, plain, ~spl42_17, inference(rat,[],[s81,s254])). cnf(s258, plain, ~spl42_45, inference(rat,[],[s49,s21,s10,s47,s73,s103,s12,s42,s31,s117,s209,s32,s4,s63,s67,s68,s74,s245,s253,s249,s246,s255,s234])). cnf(s259, plain, spl42_11, inference(rat,[],[s30,s232,s258])). cnf(s260, plain, spl42_48, inference(rat,[],[s56,s258,s259])). cnf(s261, plain, ~spl42_12, inference(rat,[],[s185,s249,s255,s259])). cnf(s263, plain, ~spl42_70, inference(rat,[],[s150,s260])). cnf(s266, plain, ~spl42_2, inference(rat,[],[s33,s246,s261])). cnf(s269, plain, ~spl42_3, inference(rat,[],[s58,s263,s266])). cnf(s272, plain, ~spl42_25 | ~spl42_34 | spl42_43, inference(rat,[],[s112,s34,s35,s258])). cnf(s273, plain, spl42_8, inference(rat,[],[s272,s46,s87,s14,s84,s15,s49,s177,s107,s3,s249,s253,s245,s258,s269])). cnf(s278, plain, ~spl42_33, inference(rat,[],[s103,s273])). cnf(s279, plain, spl42_39, inference(rat,[],[s80,s273])). cnf(s280, plain, ~spl42_21, inference(rat,[],[s73,s273])). cnf(s285, plain, ~spl42_25, inference(rat,[],[s47,s249,s278])). cnf(s286, plain, spl42_24, inference(rat,[],[s23,s269,s279])). cnf(s287, plain, ~spl42_22, inference(rat,[],[s10,s253,s280])). cnf(s290, plain, ~spl42_38, inference(rat,[],[s93,s286])). cnf(s294, plain, spl42_34, inference(rat,[],[s49,s245,s287])). cnf(s295, plain, $false, inference(rat,[],[s22,s285,s294,s290])). thf(f1253,plain,( $false), inference(avatar_sat_refutation,[],[s295])). % SZS output end Proof for theBenchmark