0.04/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.14 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof 0.14/0.36 % Computer : n029.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 1200 0.14/0.36 % WCLimit : 120 0.14/0.36 % DateTime : Tue Jul 13 12:37:10 EDT 2021 0.14/0.36 % CPUTime : 62.14/8.24 % SZS status Theorem 62.14/8.24 62.66/8.25 % SZS output start Proof 62.66/8.25 Take the following subset of the input axioms: 62.66/8.25 fof(ax1_1123, axiom, ![SPECMT, GENLMT]: ((mtvisible(SPECMT) & genlmt(SPECMT, GENLMT)) => mtvisible(GENLMT))). 62.66/8.25 fof(ax1_144, axiom, ![ARG1, ARG2]: (tptptypes_8_692(ARG1, ARG2) => tptptypes_7_691(ARG2, ARG1))). 62.66/8.25 fof(ax1_338, axiom, genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)), c_translation_32), c_machinelearningspindleheadmt)). 62.66/8.25 fof(ax1_482, axiom, mtvisible(c_currentworlddatacollectormt_nonhomocentric) => tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939)). 62.66/8.25 fof(ax1_52, axiom, genlmt(c_miptdatabase19681997_termsmt, c_ldscgeneralcollectormt)). 62.66/8.25 fof(ax1_57, axiom, ![ARG1, ARG2]: (tptptypes_9_693(ARG1, ARG2) => tptptypes_8_692(ARG1, ARG2))). 62.66/8.25 fof(ax1_58, axiom, genlmt(c_machinelearningspindleheadmt, c_miptdatabase19681997_termsmt)). 62.66/8.25 fof(ax1_59, axiom, genlmt(c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric)). 62.66/8.25 fof(ax1_87, axiom, genlmt(c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt)). 62.66/8.25 fof(query100, conjecture, mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)), c_translation_32)) => tptptypes_7_691(c_tptpcol_16_26939, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma))). 62.66/8.25 62.66/8.25 Now clausify the problem and encode Horn clauses using encoding 3 of 62.66/8.25 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf. 62.66/8.25 We repeatedly replace C & s=t => u=v by the two clauses: 62.66/8.25 fresh(y, y, x1...xn) = u 62.66/8.25 C => fresh(s, t, x1...xn) = v 62.66/8.25 where fresh is a fresh function symbol and x1..xn are the free 62.66/8.25 variables of u and v. 62.66/8.25 A predicate p(X) is encoded as p(X)=true (this is sound, because the 62.66/8.25 input problem has no model of domain size 1). 62.66/8.25 62.66/8.25 The encoding turns the above axioms into the following unit equations and goals: 62.66/8.25 62.66/8.25 Axiom 1 (ax1_58): genlmt(c_machinelearningspindleheadmt, c_miptdatabase19681997_termsmt) = true2. 62.66/8.25 Axiom 2 (ax1_52): genlmt(c_miptdatabase19681997_termsmt, c_ldscgeneralcollectormt) = true2. 62.66/8.25 Axiom 3 (ax1_59): genlmt(c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric) = true2. 62.66/8.25 Axiom 4 (ax1_87): genlmt(c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt) = true2. 62.66/8.25 Axiom 5 (ax1_482): fresh490(X, X) = true2. 62.66/8.25 Axiom 6 (ax1_1123): fresh680(X, X, Y) = true2. 62.66/8.25 Axiom 7 (ax1_1123): fresh681(X, X, Y, Z) = mtvisible(Z). 62.66/8.25 Axiom 8 (ax1_144): fresh658(X, X, Y, Z) = true2. 62.66/8.25 Axiom 9 (ax1_57): fresh413(X, X, Y, Z) = true2. 62.66/8.25 Axiom 10 (query100): mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)), c_translation_32)) = true2. 62.66/8.25 Axiom 11 (ax1_482): fresh490(mtvisible(c_currentworlddatacollectormt_nonhomocentric), true2) = tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939). 62.66/8.25 Axiom 12 (ax1_1123): fresh681(mtvisible(X), true2, X, Y) = fresh680(genlmt(X, Y), true2, Y). 62.66/8.25 Axiom 13 (ax1_338): genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)), c_translation_32), c_machinelearningspindleheadmt) = true2. 62.66/8.25 Axiom 14 (ax1_144): fresh658(tptptypes_8_692(X, Y), true2, X, Y) = tptptypes_7_691(Y, X). 62.66/8.25 Axiom 15 (ax1_57): fresh413(tptptypes_9_693(X, Y), true2, X, Y) = tptptypes_8_692(X, Y). 62.66/8.25 62.66/8.25 Goal 1 (query100_1): tptptypes_7_691(c_tptpcol_16_26939, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)) = true2. 62.66/8.25 Proof: 62.66/8.25 tptptypes_7_691(c_tptpcol_16_26939, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)) 62.66/8.25 = { by axiom 14 (ax1_144) R->L } 62.66/8.25 fresh658(tptptypes_8_692(f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.25 = { by axiom 15 (ax1_57) R->L } 62.66/8.25 fresh658(fresh413(tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.25 = { by axiom 11 (ax1_482) R->L } 62.66/8.26 fresh658(fresh413(fresh490(mtvisible(c_currentworlddatacollectormt_nonhomocentric), true2), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 7 (ax1_1123) R->L } 62.66/8.26 fresh658(fresh413(fresh490(fresh681(true2, true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric), true2), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 6 (ax1_1123) R->L } 62.66/8.26 fresh658(fresh413(fresh490(fresh681(fresh680(true2, true2, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric), true2), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 4 (ax1_87) R->L } 62.66/8.26 fresh658(fresh413(fresh490(fresh681(fresh680(genlmt(c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric), true2), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 12 (ax1_1123) R->L } 62.66/8.26 fresh658(fresh413(fresh490(fresh681(fresh681(mtvisible(c_ldscgeneralcollectormt), true2, c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric), true2), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 7 (ax1_1123) R->L } 62.66/8.26 fresh658(fresh413(fresh490(fresh681(fresh681(fresh681(true2, true2, c_miptdatabase19681997_termsmt, c_ldscgeneralcollectormt), true2, c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric), true2), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 6 (ax1_1123) R->L } 62.66/8.26 fresh658(fresh413(fresh490(fresh681(fresh681(fresh681(fresh680(true2, true2, c_miptdatabase19681997_termsmt), true2, c_miptdatabase19681997_termsmt, c_ldscgeneralcollectormt), true2, c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric), true2), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 1 (ax1_58) R->L } 62.66/8.26 fresh658(fresh413(fresh490(fresh681(fresh681(fresh681(fresh680(genlmt(c_machinelearningspindleheadmt, c_miptdatabase19681997_termsmt), true2, c_miptdatabase19681997_termsmt), true2, c_miptdatabase19681997_termsmt, c_ldscgeneralcollectormt), true2, c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric), true2), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 12 (ax1_1123) R->L } 62.66/8.26 fresh658(fresh413(fresh490(fresh681(fresh681(fresh681(fresh681(mtvisible(c_machinelearningspindleheadmt), true2, c_machinelearningspindleheadmt, c_miptdatabase19681997_termsmt), true2, c_miptdatabase19681997_termsmt, c_ldscgeneralcollectormt), true2, c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric), true2), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 7 (ax1_1123) R->L } 62.66/8.26 fresh658(fresh413(fresh490(fresh681(fresh681(fresh681(fresh681(fresh681(true2, true2, f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)), c_translation_32), c_machinelearningspindleheadmt), true2, c_machinelearningspindleheadmt, c_miptdatabase19681997_termsmt), true2, c_miptdatabase19681997_termsmt, c_ldscgeneralcollectormt), true2, c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric), true2), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 10 (query100) R->L } 62.66/8.26 fresh658(fresh413(fresh490(fresh681(fresh681(fresh681(fresh681(fresh681(mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)), c_translation_32)), true2, f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)), c_translation_32), c_machinelearningspindleheadmt), true2, c_machinelearningspindleheadmt, c_miptdatabase19681997_termsmt), true2, c_miptdatabase19681997_termsmt, c_ldscgeneralcollectormt), true2, c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric), true2), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 12 (ax1_1123) } 62.66/8.26 fresh658(fresh413(fresh490(fresh681(fresh681(fresh681(fresh681(fresh680(genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)), c_translation_32), c_machinelearningspindleheadmt), true2, c_machinelearningspindleheadmt), true2, c_machinelearningspindleheadmt, c_miptdatabase19681997_termsmt), true2, c_miptdatabase19681997_termsmt, c_ldscgeneralcollectormt), true2, c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric), true2), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 13 (ax1_338) } 62.66/8.26 fresh658(fresh413(fresh490(fresh681(fresh681(fresh681(fresh681(fresh680(true2, true2, c_machinelearningspindleheadmt), true2, c_machinelearningspindleheadmt, c_miptdatabase19681997_termsmt), true2, c_miptdatabase19681997_termsmt, c_ldscgeneralcollectormt), true2, c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric), true2), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 6 (ax1_1123) } 62.66/8.26 fresh658(fresh413(fresh490(fresh681(fresh681(fresh681(fresh681(true2, true2, c_machinelearningspindleheadmt, c_miptdatabase19681997_termsmt), true2, c_miptdatabase19681997_termsmt, c_ldscgeneralcollectormt), true2, c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric), true2), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 7 (ax1_1123) } 62.66/8.26 fresh658(fresh413(fresh490(fresh681(fresh681(fresh681(mtvisible(c_miptdatabase19681997_termsmt), true2, c_miptdatabase19681997_termsmt, c_ldscgeneralcollectormt), true2, c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric), true2), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 12 (ax1_1123) } 62.66/8.26 fresh658(fresh413(fresh490(fresh681(fresh681(fresh680(genlmt(c_miptdatabase19681997_termsmt, c_ldscgeneralcollectormt), true2, c_ldscgeneralcollectormt), true2, c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric), true2), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 2 (ax1_52) } 62.66/8.26 fresh658(fresh413(fresh490(fresh681(fresh681(fresh680(true2, true2, c_ldscgeneralcollectormt), true2, c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric), true2), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 6 (ax1_1123) } 62.66/8.26 fresh658(fresh413(fresh490(fresh681(fresh681(true2, true2, c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric), true2), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 7 (ax1_1123) } 62.66/8.26 fresh658(fresh413(fresh490(fresh681(mtvisible(c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric), true2), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 12 (ax1_1123) } 62.66/8.26 fresh658(fresh413(fresh490(fresh680(genlmt(c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric), true2, c_currentworlddatacollectormt_nonhomocentric), true2), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 3 (ax1_59) } 62.66/8.26 fresh658(fresh413(fresh490(fresh680(true2, true2, c_currentworlddatacollectormt_nonhomocentric), true2), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 6 (ax1_1123) } 62.66/8.26 fresh658(fresh413(fresh490(true2, true2), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 5 (ax1_482) } 62.66/8.26 fresh658(fresh413(true2, true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939), true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 9 (ax1_57) } 62.66/8.26 fresh658(true2, true2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptpcol_16_26939) 62.66/8.26 = { by axiom 8 (ax1_144) } 62.66/8.26 true2 62.66/8.26 % SZS output end Proof 62.66/8.26 62.66/8.26 RESULT: Theorem (the conjecture is true). 62.66/8.31 EOF