TSTP Solution File: CSR056+2 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : CSR056+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 : n022.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 21:41:29 EDT 2023
% Result : Theorem 161.12s 20.84s
% Output : Proof 161.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : CSR056+2 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.14 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 12:42:54 EDT 2023
% 0.14/0.36 % CPUTime :
% 161.12/20.84 Command-line arguments: --flip-ordering --lhs-weight 1 --depth-weight 60 --distributivity-heuristic
% 161.12/20.84
% 161.12/20.84 % SZS status Theorem
% 161.12/20.84
% 161.24/20.84 % SZS output start Proof
% 161.24/20.84 Take the following subset of the input axioms:
% 161.24/20.85 fof(ax1_1123, axiom, ![SPECMT, GENLMT]: ((mtvisible(SPECMT) & genlmt(SPECMT, GENLMT)) => mtvisible(GENLMT))).
% 161.24/20.85 fof(ax1_153, axiom, ![OBJ]: ~(tptpcol_1_1(OBJ) & tptpcol_1_65536(OBJ))).
% 161.24/20.85 fof(ax1_167, axiom, ![OBJ2]: ~(individual(OBJ2) & setorcollection(OBJ2))).
% 161.24/20.85 fof(ax1_202, axiom, ![INS]: ((mtvisible(c_tptp_spindleheadmt) & supplies(INS)) => tptpofobject(INS, f_tptpquantityfn_14(n_232)))).
% 161.24/20.85 fof(ax1_238, axiom, ![OBJ2]: (artsupplies(OBJ2) => supplies(OBJ2))).
% 161.24/20.85 fof(ax1_254, axiom, genlmt(c_tptp_spindleheadmt, c_cyclistsmt)).
% 161.24/20.85 fof(ax1_279, axiom, genlmt(c_tptp_member3717_mt, c_tptp_spindleheadmt)).
% 161.24/20.85 fof(ax1_289, axiom, ![OBJ2]: ~(collection(OBJ2) & individual(OBJ2))).
% 161.24/20.85 fof(ax1_3, axiom, ![OBJ2]: ~(intangible(OBJ2) & partiallytangible(OBJ2))).
% 161.24/20.85 fof(ax1_363, axiom, ![COL1, COL2, OBJ2]: ~(isa(OBJ2, COL1) & (isa(OBJ2, COL2) & disjointwith(COL1, COL2)))).
% 161.24/20.85 fof(ax1_40, axiom, mtvisible(c_cyclistsmt) => artsupplies(c_tptpartsupplies)).
% 161.24/20.85 fof(ax1_488, axiom, ![OBJ2]: ~(tptpcol_3_98305(OBJ2) & tptpcol_3_114688(OBJ2))).
% 161.24/20.85 fof(ax1_521, axiom, ![X]: ~affiliatedwith(X, X)).
% 161.24/20.85 fof(ax1_698, axiom, ![X2]: ~objectfoundinlocation(X2, X2)).
% 161.24/20.85 fof(ax1_901, axiom, ![X2]: ~borderson(X2, X2)).
% 161.24/20.85 fof(query106, conjecture, ?[QUANTITY]: (mtvisible(c_tptp_member3717_mt) => tptpofobject(c_tptpartsupplies, QUANTITY))).
% 161.24/20.85
% 161.24/20.85 Now clausify the problem and encode Horn clauses using encoding 3 of
% 161.24/20.85 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 161.24/20.85 We repeatedly replace C & s=t => u=v by the two clauses:
% 161.24/20.85 fresh(y, y, x1...xn) = u
% 161.24/20.85 C => fresh(s, t, x1...xn) = v
% 161.24/20.85 where fresh is a fresh function symbol and x1..xn are the free
% 161.24/20.85 variables of u and v.
% 161.24/20.85 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 161.24/20.85 input problem has no model of domain size 1).
% 161.24/20.85
% 161.24/20.85 The encoding turns the above axioms into the following unit equations and goals:
% 161.24/20.85
% 161.24/20.85 Axiom 1 (query106): mtvisible(c_tptp_member3717_mt) = true2.
% 161.24/20.85 Axiom 2 (ax1_254): genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = true2.
% 161.24/20.85 Axiom 3 (ax1_279): genlmt(c_tptp_member3717_mt, c_tptp_spindleheadmt) = true2.
% 161.24/20.85 Axiom 4 (ax1_40): fresh535(X, X) = true2.
% 161.24/20.85 Axiom 5 (ax1_1123): fresh680(X, X, Y) = true2.
% 161.24/20.85 Axiom 6 (ax1_202): fresh630(X, X, Y) = tptpofobject(Y, f_tptpquantityfn_14(n_232)).
% 161.24/20.85 Axiom 7 (ax1_202): fresh629(X, X, Y) = true2.
% 161.24/20.85 Axiom 8 (ax1_238): fresh612(X, X, Y) = true2.
% 161.24/20.85 Axiom 9 (ax1_40): fresh535(mtvisible(c_cyclistsmt), true2) = artsupplies(c_tptpartsupplies).
% 161.24/20.85 Axiom 10 (ax1_1123): fresh681(X, X, Y, Z) = mtvisible(Z).
% 161.24/20.85 Axiom 11 (ax1_202): fresh630(supplies(X), true2, X) = fresh629(mtvisible(c_tptp_spindleheadmt), true2, X).
% 161.24/20.85 Axiom 12 (ax1_238): fresh612(artsupplies(X), true2, X) = supplies(X).
% 161.24/20.85 Axiom 13 (ax1_1123): fresh681(mtvisible(X), true2, X, Y) = fresh680(genlmt(X, Y), true2, Y).
% 161.24/20.85
% 161.24/20.85 Lemma 14: mtvisible(c_tptp_spindleheadmt) = true2.
% 161.24/20.85 Proof:
% 161.24/20.85 mtvisible(c_tptp_spindleheadmt)
% 161.24/20.85 = { by axiom 10 (ax1_1123) R->L }
% 161.24/20.85 fresh681(true2, true2, c_tptp_member3717_mt, c_tptp_spindleheadmt)
% 161.24/20.85 = { by axiom 1 (query106) R->L }
% 161.24/20.85 fresh681(mtvisible(c_tptp_member3717_mt), true2, c_tptp_member3717_mt, c_tptp_spindleheadmt)
% 161.24/20.85 = { by axiom 13 (ax1_1123) }
% 161.24/20.85 fresh680(genlmt(c_tptp_member3717_mt, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt)
% 161.24/20.85 = { by axiom 3 (ax1_279) }
% 161.24/20.85 fresh680(true2, true2, c_tptp_spindleheadmt)
% 161.24/20.85 = { by axiom 5 (ax1_1123) }
% 161.24/20.85 true2
% 161.24/20.85
% 161.24/20.85 Goal 1 (query106_1): tptpofobject(c_tptpartsupplies, X) = true2.
% 161.24/20.85 The goal is true when:
% 161.24/20.85 X = f_tptpquantityfn_14(n_232)
% 161.24/20.85
% 161.24/20.85 Proof:
% 161.24/20.85 tptpofobject(c_tptpartsupplies, f_tptpquantityfn_14(n_232))
% 161.24/20.85 = { by axiom 6 (ax1_202) R->L }
% 161.24/20.85 fresh630(true2, true2, c_tptpartsupplies)
% 161.24/20.85 = { by axiom 8 (ax1_238) R->L }
% 161.24/20.85 fresh630(fresh612(true2, true2, c_tptpartsupplies), true2, c_tptpartsupplies)
% 161.24/20.85 = { by axiom 4 (ax1_40) R->L }
% 161.24/20.85 fresh630(fresh612(fresh535(true2, true2), true2, c_tptpartsupplies), true2, c_tptpartsupplies)
% 161.24/20.85 = { by axiom 5 (ax1_1123) R->L }
% 161.24/20.85 fresh630(fresh612(fresh535(fresh680(true2, true2, c_cyclistsmt), true2), true2, c_tptpartsupplies), true2, c_tptpartsupplies)
% 161.24/20.85 = { by axiom 2 (ax1_254) R->L }
% 161.24/20.85 fresh630(fresh612(fresh535(fresh680(genlmt(c_tptp_spindleheadmt, c_cyclistsmt), true2, c_cyclistsmt), true2), true2, c_tptpartsupplies), true2, c_tptpartsupplies)
% 161.24/20.85 = { by axiom 13 (ax1_1123) R->L }
% 161.24/20.85 fresh630(fresh612(fresh535(fresh681(mtvisible(c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_tptpartsupplies), true2, c_tptpartsupplies)
% 161.24/20.85 = { by lemma 14 }
% 161.24/20.85 fresh630(fresh612(fresh535(fresh681(true2, true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_tptpartsupplies), true2, c_tptpartsupplies)
% 161.24/20.85 = { by axiom 10 (ax1_1123) }
% 161.24/20.85 fresh630(fresh612(fresh535(mtvisible(c_cyclistsmt), true2), true2, c_tptpartsupplies), true2, c_tptpartsupplies)
% 161.24/20.85 = { by axiom 9 (ax1_40) }
% 161.24/20.85 fresh630(fresh612(artsupplies(c_tptpartsupplies), true2, c_tptpartsupplies), true2, c_tptpartsupplies)
% 161.24/20.85 = { by axiom 12 (ax1_238) }
% 161.24/20.85 fresh630(supplies(c_tptpartsupplies), true2, c_tptpartsupplies)
% 161.24/20.85 = { by axiom 11 (ax1_202) }
% 161.24/20.85 fresh629(mtvisible(c_tptp_spindleheadmt), true2, c_tptpartsupplies)
% 161.24/20.85 = { by lemma 14 }
% 161.24/20.85 fresh629(true2, true2, c_tptpartsupplies)
% 161.24/20.85 = { by axiom 7 (ax1_202) }
% 161.24/20.85 true2
% 161.24/20.85 % SZS output end Proof
% 161.24/20.85
% 161.24/20.85 RESULT: Theorem (the conjecture is true).
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