TSTP Solution File: CSR060+1 by Twee---2.4.2
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : CSR060+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 21:41:33 EDT 2023
% Result : Theorem 0.20s 0.56s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR060+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.14 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 10:08:42 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.56 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.20/0.56
% 0.20/0.56 % SZS status Theorem
% 0.20/0.56
% 0.20/0.57 % SZS output start Proof
% 0.20/0.57 Take the following subset of the input axioms:
% 0.20/0.57 fof(just1, axiom, genlmt(c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric)).
% 0.20/0.57 fof(just13, axiom, ![TERM]: ((mtvisible(c_currentworlddatacollectormt_nonhomocentric) & isa(TERM, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma))) => tptp_9_51(f_relationexistsallfn(TERM, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)), TERM))).
% 0.20/0.57 fof(just14, axiom, mtvisible(c_currentworlddatacollectormt_nonhomocentric) => relationexistsall(c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma))).
% 0.20/0.57 fof(just16, axiom, subcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802)).
% 0.20/0.57 fof(just17, axiom, ![OBJ, COL1, COL2]: ~(isa(OBJ, COL1) & (isa(OBJ, COL2) & disjointwith(COL1, COL2)))).
% 0.20/0.57 fof(just4, axiom, genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwsurgerydoorcoukmedconsprintasprecno23068988)), c_translation_0_885), c_machinelearningspindleheadmt)).
% 0.20/0.57 fof(just40, axiom, ![X]: ~objectfoundinlocation(X, X)).
% 0.20/0.57 fof(just5, axiom, genlmt(c_machinelearningspindleheadmt, c_miptdatabase19681997_termsmt)).
% 0.20/0.57 fof(just52, axiom, ![X2]: (subcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma(X2) => isa(X2, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)))).
% 0.20/0.57 fof(just53, axiom, ![X2]: (isa(X2, c_tptpcol_16_27189) => tptpcol_16_27189(X2))).
% 0.20/0.57 fof(just6, axiom, ![INDEPCOL, PRED, DEPCOL, TERM2]: ((isa(TERM2, INDEPCOL) & relationexistsall(PRED, DEPCOL, INDEPCOL)) => isa(f_relationexistsallfn(TERM2, PRED, DEPCOL, INDEPCOL), DEPCOL))).
% 0.20/0.57 fof(just8, axiom, genlmt(c_miptdatabase19681997_termsmt, c_ldscgeneralcollectormt)).
% 0.20/0.57 fof(just86, axiom, ![SPECMT, GENLMT]: ((mtvisible(SPECMT) & genlmt(SPECMT, GENLMT)) => mtvisible(GENLMT))).
% 0.20/0.57 fof(just9, axiom, genlmt(c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt)).
% 0.20/0.57 fof(query60, conjecture, ?[X2]: (mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwsurgerydoorcoukmedconsprintasprecno23068988)), c_translation_0_885)) => (tptp_9_51(X2, c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802) & tptpcol_16_27189(X2)))).
% 0.20/0.57
% 0.20/0.57 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.20/0.57 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.20/0.57 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.20/0.57 fresh(y, y, x1...xn) = u
% 0.20/0.57 C => fresh(s, t, x1...xn) = v
% 0.20/0.57 where fresh is a fresh function symbol and x1..xn are the free
% 0.20/0.57 variables of u and v.
% 0.20/0.57 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.20/0.57 input problem has no model of domain size 1).
% 0.20/0.57
% 0.20/0.57 The encoding turns the above axioms into the following unit equations and goals:
% 0.20/0.57
% 0.20/0.57 Axiom 1 (just16): subcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802) = true2.
% 0.20/0.57 Axiom 2 (just5): genlmt(c_machinelearningspindleheadmt, c_miptdatabase19681997_termsmt) = true2.
% 0.20/0.57 Axiom 3 (just1): genlmt(c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric) = true2.
% 0.20/0.57 Axiom 4 (just8): genlmt(c_miptdatabase19681997_termsmt, c_ldscgeneralcollectormt) = true2.
% 0.20/0.57 Axiom 5 (just9): genlmt(c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt) = true2.
% 0.20/0.57 Axiom 6 (just14): fresh69(X, X) = true2.
% 0.20/0.57 Axiom 7 (just13): fresh71(X, X, Y) = true2.
% 0.20/0.57 Axiom 8 (just52): fresh30(X, X, Y) = true2.
% 0.20/0.57 Axiom 9 (just53): fresh29(X, X, Y) = true2.
% 0.20/0.57 Axiom 10 (just86): fresh9(X, X, Y) = true2.
% 0.20/0.57 Axiom 11 (just86): fresh10(X, X, Y, Z) = mtvisible(Z).
% 0.20/0.57 Axiom 12 (just52): fresh30(subcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma(X), true2, X) = isa(X, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)).
% 0.20/0.57 Axiom 13 (query60): mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwsurgerydoorcoukmedconsprintasprecno23068988)), c_translation_0_885)) = true2.
% 0.20/0.57 Axiom 14 (just53): fresh29(isa(X, c_tptpcol_16_27189), true2, X) = tptpcol_16_27189(X).
% 0.20/0.57 Axiom 15 (just86): fresh10(mtvisible(X), true2, X, Y) = fresh9(genlmt(X, Y), true2, Y).
% 0.20/0.57 Axiom 16 (just4): genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwsurgerydoorcoukmedconsprintasprecno23068988)), c_translation_0_885), c_machinelearningspindleheadmt) = true2.
% 0.20/0.57 Axiom 17 (just14): fresh69(mtvisible(c_currentworlddatacollectormt_nonhomocentric), true2) = relationexistsall(c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)).
% 0.20/0.57 Axiom 18 (just6): fresh22(X, X, Y, Z, W, V) = isa(f_relationexistsallfn(Y, W, V, Z), V).
% 0.20/0.57 Axiom 19 (just6): fresh21(X, X, Y, Z, W, V) = true2.
% 0.20/0.57 Axiom 20 (just13): fresh70(X, X, Y) = fresh71(isa(Y, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)), true2, Y).
% 0.20/0.57 Axiom 21 (just13): fresh70(mtvisible(c_currentworlddatacollectormt_nonhomocentric), true2, X) = tptp_9_51(f_relationexistsallfn(X, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)), X).
% 0.20/0.57 Axiom 22 (just6): fresh22(relationexistsall(X, Y, Z), true2, W, Z, X, Y) = fresh21(isa(W, Z), true2, W, Z, X, Y).
% 0.20/0.58
% 0.20/0.58 Lemma 23: mtvisible(c_currentworlddatacollectormt_nonhomocentric) = true2.
% 0.20/0.58 Proof:
% 0.20/0.58 mtvisible(c_currentworlddatacollectormt_nonhomocentric)
% 0.20/0.58 = { by axiom 11 (just86) R->L }
% 0.20/0.58 fresh10(true2, true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric)
% 0.20/0.58 = { by axiom 10 (just86) R->L }
% 0.20/0.58 fresh10(fresh9(true2, true2, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric)
% 0.20/0.58 = { by axiom 5 (just9) R->L }
% 0.20/0.58 fresh10(fresh9(genlmt(c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric)
% 0.20/0.58 = { by axiom 15 (just86) R->L }
% 0.20/0.58 fresh10(fresh10(mtvisible(c_ldscgeneralcollectormt), true2, c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric)
% 0.20/0.58 = { by axiom 11 (just86) R->L }
% 0.20/0.58 fresh10(fresh10(fresh10(true2, true2, c_miptdatabase19681997_termsmt, c_ldscgeneralcollectormt), true2, c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric)
% 0.20/0.58 = { by axiom 10 (just86) R->L }
% 0.20/0.58 fresh10(fresh10(fresh10(fresh9(true2, true2, c_miptdatabase19681997_termsmt), true2, c_miptdatabase19681997_termsmt, c_ldscgeneralcollectormt), true2, c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric)
% 0.20/0.58 = { by axiom 2 (just5) R->L }
% 0.20/0.58 fresh10(fresh10(fresh10(fresh9(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)
% 0.20/0.58 = { by axiom 15 (just86) R->L }
% 0.20/0.58 fresh10(fresh10(fresh10(fresh10(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)
% 0.20/0.58 = { by axiom 11 (just86) R->L }
% 0.20/0.58 fresh10(fresh10(fresh10(fresh10(fresh10(true2, true2, f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwsurgerydoorcoukmedconsprintasprecno23068988)), c_translation_0_885), 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)
% 0.20/0.58 = { by axiom 13 (query60) R->L }
% 0.20/0.58 fresh10(fresh10(fresh10(fresh10(fresh10(mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwsurgerydoorcoukmedconsprintasprecno23068988)), c_translation_0_885)), true2, f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwsurgerydoorcoukmedconsprintasprecno23068988)), c_translation_0_885), 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)
% 0.20/0.58 = { by axiom 15 (just86) }
% 0.20/0.58 fresh10(fresh10(fresh10(fresh10(fresh9(genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwsurgerydoorcoukmedconsprintasprecno23068988)), c_translation_0_885), 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)
% 0.20/0.58 = { by axiom 16 (just4) }
% 0.20/0.58 fresh10(fresh10(fresh10(fresh10(fresh9(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)
% 0.20/0.58 = { by axiom 10 (just86) }
% 0.20/0.58 fresh10(fresh10(fresh10(fresh10(true2, true2, c_machinelearningspindleheadmt, c_miptdatabase19681997_termsmt), true2, c_miptdatabase19681997_termsmt, c_ldscgeneralcollectormt), true2, c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric)
% 0.20/0.58 = { by axiom 11 (just86) }
% 0.20/0.58 fresh10(fresh10(fresh10(mtvisible(c_miptdatabase19681997_termsmt), true2, c_miptdatabase19681997_termsmt, c_ldscgeneralcollectormt), true2, c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric)
% 0.20/0.58 = { by axiom 15 (just86) }
% 0.20/0.58 fresh10(fresh10(fresh9(genlmt(c_miptdatabase19681997_termsmt, c_ldscgeneralcollectormt), true2, c_ldscgeneralcollectormt), true2, c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric)
% 0.20/0.58 = { by axiom 4 (just8) }
% 0.20/0.58 fresh10(fresh10(fresh9(true2, true2, c_ldscgeneralcollectormt), true2, c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric)
% 0.20/0.58 = { by axiom 10 (just86) }
% 0.20/0.58 fresh10(fresh10(true2, true2, c_ldscgeneralcollectormt, c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric)
% 0.20/0.58 = { by axiom 11 (just86) }
% 0.20/0.58 fresh10(mtvisible(c_ldscdemonstrationspindleheadmt), true2, c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric)
% 0.20/0.58 = { by axiom 15 (just86) }
% 0.20/0.58 fresh9(genlmt(c_ldscdemonstrationspindleheadmt, c_currentworlddatacollectormt_nonhomocentric), true2, c_currentworlddatacollectormt_nonhomocentric)
% 0.20/0.58 = { by axiom 3 (just1) }
% 0.20/0.58 fresh9(true2, true2, c_currentworlddatacollectormt_nonhomocentric)
% 0.20/0.58 = { by axiom 10 (just86) }
% 0.20/0.58 true2
% 0.20/0.58
% 0.20/0.58 Goal 1 (query60_1): tuple2(tptp_9_51(X, c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), tptpcol_16_27189(X)) = tuple2(true2, true2).
% 0.20/0.58 The goal is true when:
% 0.20/0.58 X = f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma))
% 0.20/0.58
% 0.20/0.58 Proof:
% 0.20/0.58 tuple2(tptp_9_51(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)), c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), tptpcol_16_27189(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma))))
% 0.20/0.58 = { by axiom 14 (just53) R->L }
% 0.20/0.58 tuple2(tptp_9_51(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)), c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), fresh29(isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)), c_tptpcol_16_27189), true2, f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma))))
% 0.20/0.58 = { by axiom 18 (just6) R->L }
% 0.20/0.58 tuple2(tptp_9_51(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)), c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), fresh29(fresh22(true2, true2, c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptp_9_51, c_tptpcol_16_27189), true2, f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma))))
% 0.20/0.58 = { by axiom 6 (just14) R->L }
% 0.20/0.58 tuple2(tptp_9_51(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)), c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), fresh29(fresh22(fresh69(true2, true2), true2, c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptp_9_51, c_tptpcol_16_27189), true2, f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma))))
% 0.20/0.58 = { by lemma 23 R->L }
% 0.20/0.58 tuple2(tptp_9_51(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)), c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), fresh29(fresh22(fresh69(mtvisible(c_currentworlddatacollectormt_nonhomocentric), true2), true2, c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptp_9_51, c_tptpcol_16_27189), true2, f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma))))
% 0.20/0.58 = { by axiom 17 (just14) }
% 0.20/0.58 tuple2(tptp_9_51(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)), c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), fresh29(fresh22(relationexistsall(c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)), true2, c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptp_9_51, c_tptpcol_16_27189), true2, f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma))))
% 0.20/0.58 = { by axiom 22 (just6) }
% 0.20/0.58 tuple2(tptp_9_51(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)), c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), fresh29(fresh21(isa(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)), true2, c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptp_9_51, c_tptpcol_16_27189), true2, f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma))))
% 0.20/0.58 = { by axiom 12 (just52) R->L }
% 0.20/0.58 tuple2(tptp_9_51(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)), c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), fresh29(fresh21(fresh30(subcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), true2, c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), true2, c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptp_9_51, c_tptpcol_16_27189), true2, f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma))))
% 0.20/0.58 = { by axiom 1 (just16) }
% 0.20/0.58 tuple2(tptp_9_51(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)), c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), fresh29(fresh21(fresh30(true2, true2, c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), true2, c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptp_9_51, c_tptpcol_16_27189), true2, f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma))))
% 0.20/0.58 = { by axiom 8 (just52) }
% 0.20/0.58 tuple2(tptp_9_51(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)), c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), fresh29(fresh21(true2, true2, c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma), c_tptp_9_51, c_tptpcol_16_27189), true2, f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma))))
% 0.20/0.58 = { by axiom 19 (just6) }
% 0.20/0.58 tuple2(tptp_9_51(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)), c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), fresh29(true2, true2, f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma))))
% 0.20/0.58 = { by axiom 9 (just53) }
% 0.20/0.58 tuple2(tptp_9_51(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, c_tptp_9_51, c_tptpcol_16_27189, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)), c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), true2)
% 0.20/0.58 = { by axiom 21 (just13) R->L }
% 0.20/0.58 tuple2(fresh70(mtvisible(c_currentworlddatacollectormt_nonhomocentric), true2, c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), true2)
% 0.20/0.58 = { by lemma 23 }
% 0.20/0.58 tuple2(fresh70(true2, true2, c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), true2)
% 0.20/0.58 = { by axiom 20 (just13) }
% 0.20/0.58 tuple2(fresh71(isa(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802, f_subcollectionofwithrelationtofn(c_ship, c_objectfoundinlocation, c_cityofbostonma)), true2, c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), true2)
% 0.20/0.58 = { by axiom 12 (just52) R->L }
% 0.20/0.58 tuple2(fresh71(fresh30(subcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma(c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), true2, c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), true2, c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), true2)
% 0.20/0.58 = { by axiom 1 (just16) }
% 0.20/0.58 tuple2(fresh71(fresh30(true2, true2, c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), true2, c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), true2)
% 0.20/0.58 = { by axiom 8 (just52) }
% 0.20/0.58 tuple2(fresh71(true2, true2, c_tptpnsubcollectionofwithrelationtofnshipobjectfoundinlocationcityofbostonma_802), true2)
% 0.20/0.58 = { by axiom 7 (just13) }
% 0.20/0.58 tuple2(true2, true2)
% 0.20/0.58 % SZS output end Proof
% 0.20/0.58
% 0.20/0.58 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------