TSTP Solution File: CSR054+2 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : CSR054+2 : 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 : n007.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 21:41:27 EDT 2023
% Result : Theorem 42.98s 5.76s
% Output : Proof 42.98s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : CSR054+2 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.10 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Aug 28 13:19:27 EDT 2023
% 0.10/0.31 % CPUTime :
% 42.98/5.76 Command-line arguments: --flip-ordering --lhs-weight 1 --depth-weight 60 --distributivity-heuristic
% 42.98/5.76
% 42.98/5.76 % SZS status Theorem
% 42.98/5.76
% 42.98/5.76 % SZS output start Proof
% 42.98/5.76 Take the following subset of the input axioms:
% 42.98/5.76 fof(ax1_153, axiom, ![OBJ]: ~(tptpcol_1_1(OBJ) & tptpcol_1_65536(OBJ))).
% 42.98/5.76 fof(ax1_167, axiom, ![OBJ2]: ~(individual(OBJ2) & setorcollection(OBJ2))).
% 42.98/5.76 fof(ax1_217, axiom, mtvisible(c_currentworlddatacollectormt_nonhomocentric) => tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), f_tptpquantityfn_21(n_170))).
% 42.98/5.76 fof(ax1_289, axiom, ![OBJ2]: ~(collection(OBJ2) & individual(OBJ2))).
% 42.98/5.76 fof(ax1_3, axiom, ![OBJ2]: ~(intangible(OBJ2) & partiallytangible(OBJ2))).
% 42.98/5.76 fof(ax1_363, axiom, ![COL1, COL2, OBJ2]: ~(isa(OBJ2, COL1) & (isa(OBJ2, COL2) & disjointwith(COL1, COL2)))).
% 42.98/5.76 fof(ax1_488, axiom, ![OBJ2]: ~(tptpcol_3_98305(OBJ2) & tptpcol_3_114688(OBJ2))).
% 42.98/5.76 fof(ax1_521, axiom, ![X]: ~affiliatedwith(X, X)).
% 42.98/5.76 fof(ax1_698, axiom, ![X2]: ~objectfoundinlocation(X2, X2)).
% 42.98/5.76 fof(ax1_901, axiom, ![X2]: ~borderson(X2, X2)).
% 42.98/5.76 fof(query104, conjecture, ?[X2]: (mtvisible(c_currentworlddatacollectormt_nonhomocentric) => tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X2))).
% 42.98/5.76
% 42.98/5.76 Now clausify the problem and encode Horn clauses using encoding 3 of
% 42.98/5.76 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 42.98/5.76 We repeatedly replace C & s=t => u=v by the two clauses:
% 42.98/5.76 fresh(y, y, x1...xn) = u
% 42.98/5.76 C => fresh(s, t, x1...xn) = v
% 42.98/5.76 where fresh is a fresh function symbol and x1..xn are the free
% 42.98/5.76 variables of u and v.
% 42.98/5.76 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 42.98/5.76 input problem has no model of domain size 1).
% 42.98/5.76
% 42.98/5.76 The encoding turns the above axioms into the following unit equations and goals:
% 42.98/5.76
% 42.98/5.76 Axiom 1 (query104): mtvisible(c_currentworlddatacollectormt_nonhomocentric) = true2.
% 42.98/5.76 Axiom 2 (ax1_217): fresh622(X, X) = true2.
% 42.98/5.76 Axiom 3 (ax1_217): fresh622(mtvisible(c_currentworlddatacollectormt_nonhomocentric), true2) = tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), f_tptpquantityfn_21(n_170)).
% 42.98/5.76
% 42.98/5.76 Goal 1 (query104_1): tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), X) = true2.
% 42.98/5.76 The goal is true when:
% 42.98/5.76 X = f_tptpquantityfn_21(n_170)
% 42.98/5.76
% 42.98/5.76 Proof:
% 42.98/5.76 tptpofobject(f_instancewithrelationtofn(c_airport_physical, c_airporthasiatacode, s_tlh), f_tptpquantityfn_21(n_170))
% 42.98/5.76 = { by axiom 3 (ax1_217) R->L }
% 42.98/5.76 fresh622(mtvisible(c_currentworlddatacollectormt_nonhomocentric), true2)
% 42.98/5.76 = { by axiom 1 (query104) }
% 42.98/5.76 fresh622(true2, true2)
% 42.98/5.76 = { by axiom 2 (ax1_217) }
% 42.98/5.76 true2
% 42.98/5.76 % SZS output end Proof
% 42.98/5.76
% 42.98/5.76 RESULT: Theorem (the conjecture is true).
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