0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.09 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof 0.09/0.30 % Computer : n003.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 1200 0.09/0.30 % WCLimit : 120 0.09/0.30 % DateTime : Tue Jul 13 10:51:24 EDT 2021 0.09/0.30 % CPUTime : 241.27/30.76 % SZS status Theorem 241.27/30.76 241.50/30.77 % SZS output start Proof 241.50/30.77 Take the following subset of the input axioms: 241.50/30.78 fof(ax1_1085, axiom, ![ARG1]: computerdataartifact(f_urlreferentfn(ARG1))). 241.50/30.78 fof(ax1_112, axiom, ![OBJ]: (setorcollection(OBJ) => mathematicalthing(OBJ))). 241.50/30.78 fof(ax1_132, axiom, ![OBJ]: (intangible(OBJ) <= mathematicalorcomputationalthing(OBJ))). 241.50/30.78 fof(ax1_153, axiom, ![OBJ]: ~(tptpcol_1_65536(OBJ) & tptpcol_1_1(OBJ))). 241.50/30.78 fof(ax1_167, axiom, ![OBJ]: ~(setorcollection(OBJ) & individual(OBJ))). 241.50/30.78 fof(ax1_180, axiom, ![OBJ]: (mathematicalorcomputationalthing(OBJ) <= mathematicalthing(OBJ))). 241.50/30.78 fof(ax1_196, axiom, ![OBJ]: (inanimateobject(OBJ) <= inanimateobject_nonnatural(OBJ))). 241.50/30.78 fof(ax1_211, axiom, ![OBJ]: (artifact(OBJ) => inanimateobject_nonnatural(OBJ))). 241.50/30.78 fof(ax1_221, axiom, ![ARG1, ARG2]: (no(ARG1, ARG2) <= disjointwith(ARG1, ARG2))). 241.50/30.78 fof(ax1_289, axiom, ![OBJ]: ~(collection(OBJ) & individual(OBJ))). 241.50/30.78 fof(ax1_3, axiom, ![OBJ]: ~(intangible(OBJ) & partiallytangible(OBJ))). 241.50/30.78 fof(ax1_363, axiom, ![OBJ, COL1, COL2]: ~(isa(OBJ, COL1) & (disjointwith(COL1, COL2) & isa(OBJ, COL2)))). 241.50/30.78 fof(ax1_488, axiom, ![OBJ]: ~(tptpcol_3_98305(OBJ) & tptpcol_3_114688(OBJ))). 241.50/30.78 fof(ax1_494, axiom, ![OBJ]: (computerdataartifact(OBJ) => artifact(OBJ))). 241.50/30.78 fof(ax1_521, axiom, ![X]: ~affiliatedwith(X, X)). 241.50/30.78 fof(ax1_698, axiom, ![X]: ~objectfoundinlocation(X, X)). 241.50/30.78 fof(ax1_718, axiom, ![INS, ARG2]: (no(INS, ARG2) => setorcollection(INS))). 241.50/30.78 fof(ax1_9, axiom, ![OBJ]: (inanimateobject(OBJ) => partiallytangible(OBJ))). 241.50/30.78 fof(ax1_901, axiom, ![X]: ~borderson(X, X)). 241.50/30.78 fof(query113, conjecture, ~disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)), c_tptpcol_16_118949)). 241.50/30.78 241.50/30.78 Now clausify the problem and encode Horn clauses using encoding 3 of 241.50/30.78 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf. 241.50/30.78 We repeatedly replace C & s=t => u=v by the two clauses: 241.50/30.78 fresh(y, y, x1...xn) = u 241.50/30.78 C => fresh(s, t, x1...xn) = v 241.50/30.78 where fresh is a fresh function symbol and x1..xn are the free 241.50/30.78 variables of u and v. 241.50/30.78 A predicate p(X) is encoded as p(X)=true (this is sound, because the 241.50/30.78 input problem has no model of domain size 1). 241.50/30.78 241.50/30.78 The encoding turns the above axioms into the following unit equations and goals: 241.50/30.78 241.50/30.78 Axiom 1 (ax1_1085): computerdataartifact(f_urlreferentfn(X)) = true2. 241.50/30.78 Axiom 2 (ax1_112): fresh687(X, X, Y) = true2. 241.50/30.78 Axiom 3 (ax1_132): fresh661(X, X, Y) = true2. 241.50/30.78 Axiom 4 (ax1_180): fresh640(X, X, Y) = true2. 241.50/30.78 Axiom 5 (ax1_196): fresh632(X, X, Y) = true2. 241.50/30.78 Axiom 6 (ax1_211): fresh624(X, X, Y) = true2. 241.50/30.78 Axiom 7 (ax1_494): fresh485(X, X, Y) = true2. 241.50/30.78 Axiom 8 (ax1_718): fresh269(X, X, Y) = true2. 241.50/30.78 Axiom 9 (ax1_9): fresh95(X, X, Y) = true2. 241.50/30.78 Axiom 10 (query113): disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)), c_tptpcol_16_118949) = true2. 241.50/30.78 Axiom 11 (ax1_112): fresh687(setorcollection(X), true2, X) = mathematicalthing(X). 241.50/30.78 Axiom 12 (ax1_132): fresh661(mathematicalorcomputationalthing(X), true2, X) = intangible(X). 241.50/30.78 Axiom 13 (ax1_180): fresh640(mathematicalthing(X), true2, X) = mathematicalorcomputationalthing(X). 241.50/30.78 Axiom 14 (ax1_196): fresh632(inanimateobject_nonnatural(X), true2, X) = inanimateobject(X). 241.50/30.78 Axiom 15 (ax1_211): fresh624(artifact(X), true2, X) = inanimateobject_nonnatural(X). 241.50/30.78 Axiom 16 (ax1_221): fresh619(X, X, Y, Z) = true2. 241.50/30.78 Axiom 17 (ax1_494): fresh485(computerdataartifact(X), true2, X) = artifact(X). 241.50/30.78 Axiom 18 (ax1_718): fresh269(no(X, Y), true2, X) = setorcollection(X). 241.50/30.78 Axiom 19 (ax1_9): fresh95(inanimateobject(X), true2, X) = partiallytangible(X). 241.50/30.78 Axiom 20 (ax1_221): fresh619(disjointwith(X, Y), true2, X, Y) = no(X, Y). 241.50/30.78 241.50/30.78 Goal 1 (ax1_3): tuple2(intangible(X), partiallytangible(X)) = tuple2(true2, true2). 241.50/30.78 The goal is true when: 241.50/30.78 X = f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)) 241.50/30.78 241.50/30.78 Proof: 241.50/30.78 tuple2(intangible(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), partiallytangible(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))) 241.50/30.78 = { by axiom 12 (ax1_132) R->L } 241.50/30.78 tuple2(fresh661(mathematicalorcomputationalthing(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), partiallytangible(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))) 241.50/30.78 = { by axiom 13 (ax1_180) R->L } 241.50/30.78 tuple2(fresh661(fresh640(mathematicalthing(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), partiallytangible(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))) 241.50/30.78 = { by axiom 11 (ax1_112) R->L } 241.50/30.78 tuple2(fresh661(fresh640(fresh687(setorcollection(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), partiallytangible(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))) 241.50/30.78 = { by axiom 18 (ax1_718) R->L } 241.50/30.78 tuple2(fresh661(fresh640(fresh687(fresh269(no(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)), c_tptpcol_16_118949), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), partiallytangible(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))) 241.50/30.78 = { by axiom 20 (ax1_221) R->L } 241.50/30.78 tuple2(fresh661(fresh640(fresh687(fresh269(fresh619(disjointwith(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)), c_tptpcol_16_118949), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)), c_tptpcol_16_118949), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), partiallytangible(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))) 241.50/30.78 = { by axiom 10 (query113) } 241.50/30.78 tuple2(fresh661(fresh640(fresh687(fresh269(fresh619(true2, true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)), c_tptpcol_16_118949), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), partiallytangible(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))) 241.50/30.78 = { by axiom 16 (ax1_221) } 241.50/30.78 tuple2(fresh661(fresh640(fresh687(fresh269(true2, true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), partiallytangible(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))) 241.50/30.78 = { by axiom 8 (ax1_718) } 241.50/30.78 tuple2(fresh661(fresh640(fresh687(true2, true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), partiallytangible(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))) 241.50/30.78 = { by axiom 2 (ax1_112) } 241.50/30.78 tuple2(fresh661(fresh640(true2, true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), partiallytangible(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))) 241.50/30.78 = { by axiom 4 (ax1_180) } 241.50/30.78 tuple2(fresh661(true2, true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), partiallytangible(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))) 241.50/30.78 = { by axiom 3 (ax1_132) } 241.50/30.78 tuple2(true2, partiallytangible(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))) 241.50/30.78 = { by axiom 19 (ax1_9) R->L } 241.50/30.78 tuple2(true2, fresh95(inanimateobject(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))) 241.50/30.78 = { by axiom 14 (ax1_196) R->L } 241.50/30.78 tuple2(true2, fresh95(fresh632(inanimateobject_nonnatural(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))) 241.50/30.78 = { by axiom 15 (ax1_211) R->L } 241.50/30.78 tuple2(true2, fresh95(fresh632(fresh624(artifact(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))) 241.50/30.78 = { by axiom 17 (ax1_494) R->L } 241.50/30.78 tuple2(true2, fresh95(fresh632(fresh624(fresh485(computerdataartifact(f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))) 241.50/30.78 = { by axiom 1 (ax1_1085) } 241.50/30.78 tuple2(true2, fresh95(fresh632(fresh624(fresh485(true2, true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))) 241.50/30.78 = { by axiom 7 (ax1_494) } 241.50/30.78 tuple2(true2, fresh95(fresh632(fresh624(true2, true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))) 241.50/30.78 = { by axiom 6 (ax1_211) } 241.50/30.78 tuple2(true2, fresh95(fresh632(true2, true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf))), true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))) 241.50/30.78 = { by axiom 5 (ax1_196) } 241.50/30.78 tuple2(true2, fresh95(true2, true2, f_urlreferentfn(f_urlfn(s_http_fwsistercitiesorgpdfsmbabanembabane20activity20pages2pdf)))) 241.50/30.78 = { by axiom 9 (ax1_9) } 241.50/30.78 tuple2(true2, true2) 241.50/30.78 % SZS output end Proof 241.50/30.78 241.50/30.78 RESULT: Theorem (the conjecture is true). 241.50/30.82 EOF