TSTP Solution File: CSR057+2 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : CSR057+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 : n013.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 21:41:30 EDT 2023
% Result : Theorem 148.68s 19.57s
% Output : Proof 148.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : CSR057+2 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 13:12:01 EDT 2023
% 0.13/0.34 % CPUTime :
% 148.68/19.57 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 148.68/19.57
% 148.68/19.57 % SZS status Theorem
% 148.68/19.57
% 148.68/19.58 % SZS output start Proof
% 148.68/19.58 Take the following subset of the input axioms:
% 148.68/19.58 fof(ax1_1, axiom, genlmt(c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt)).
% 148.68/19.58 fof(ax1_1042, axiom, ![X]: (geographicalregion(X) => geographicalsubregions(X, X))).
% 148.68/19.58 fof(ax1_1123, axiom, ![SPECMT, GENLMT]: ((mtvisible(SPECMT) & genlmt(SPECMT, GENLMT)) => mtvisible(GENLMT))).
% 148.68/19.58 fof(ax1_128, axiom, ![ARG1, ARG2]: (geographicalsubregions(ARG1, ARG2) => inregion(ARG2, ARG1))).
% 148.68/19.58 fof(ax1_153, axiom, ![OBJ]: ~(tptpcol_1_1(OBJ) & tptpcol_1_65536(OBJ))).
% 148.68/19.58 fof(ax1_167, axiom, ![OBJ2]: ~(individual(OBJ2) & setorcollection(OBJ2))).
% 148.68/19.58 fof(ax1_289, axiom, ![OBJ2]: ~(collection(OBJ2) & individual(OBJ2))).
% 148.68/19.58 fof(ax1_3, axiom, ![OBJ2]: ~(intangible(OBJ2) & partiallytangible(OBJ2))).
% 148.68/19.58 fof(ax1_326, axiom, genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt)).
% 148.68/19.58 fof(ax1_363, axiom, ![COL1, COL2, OBJ2]: ~(isa(OBJ2, COL1) & (isa(OBJ2, COL2) & disjointwith(COL1, COL2)))).
% 148.68/19.58 fof(ax1_462, axiom, ![OBJ2]: (geolevel_4(OBJ2) => geographicalregion(OBJ2))).
% 148.68/19.58 fof(ax1_464, axiom, mtvisible(c_worldgeographymt) => geolevel_4(c_georegion_l4_x75_y75)).
% 148.68/19.58 fof(ax1_488, axiom, ![OBJ2]: ~(tptpcol_3_98305(OBJ2) & tptpcol_3_114688(OBJ2))).
% 148.68/19.58 fof(ax1_521, axiom, ![X2]: ~affiliatedwith(X2, X2)).
% 148.68/19.58 fof(ax1_698, axiom, ![X2]: ~objectfoundinlocation(X2, X2)).
% 148.68/19.58 fof(ax1_901, axiom, ![X2]: ~borderson(X2, X2)).
% 148.68/19.58 fof(query107, conjecture, ?[X2]: (mtvisible(c_tptpgeo_member8_mt) => inregion(X2, c_georegion_l4_x75_y75))).
% 148.68/19.58
% 148.68/19.58 Now clausify the problem and encode Horn clauses using encoding 3 of
% 148.68/19.58 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 148.68/19.58 We repeatedly replace C & s=t => u=v by the two clauses:
% 148.68/19.58 fresh(y, y, x1...xn) = u
% 148.68/19.58 C => fresh(s, t, x1...xn) = v
% 148.68/19.58 where fresh is a fresh function symbol and x1..xn are the free
% 148.68/19.58 variables of u and v.
% 148.68/19.58 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 148.68/19.58 input problem has no model of domain size 1).
% 148.68/19.58
% 148.68/19.58 The encoding turns the above axioms into the following unit equations and goals:
% 148.68/19.58
% 148.68/19.58 Axiom 1 (query107): mtvisible(c_tptpgeo_member8_mt) = true2.
% 148.68/19.58 Axiom 2 (ax1_326): genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt) = true2.
% 148.68/19.58 Axiom 3 (ax1_1): genlmt(c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt) = true2.
% 148.68/19.58 Axiom 4 (ax1_464): fresh500(X, X) = true2.
% 148.68/19.58 Axiom 5 (ax1_1042): fresh774(X, X, Y) = true2.
% 148.68/19.58 Axiom 6 (ax1_1123): fresh680(X, X, Y) = true2.
% 148.68/19.58 Axiom 7 (ax1_462): fresh502(X, X, Y) = true2.
% 148.68/19.58 Axiom 8 (ax1_464): fresh500(mtvisible(c_worldgeographymt), true2) = geolevel_4(c_georegion_l4_x75_y75).
% 148.68/19.58 Axiom 9 (ax1_1042): fresh774(geographicalregion(X), true2, X) = geographicalsubregions(X, X).
% 148.68/19.58 Axiom 10 (ax1_1123): fresh681(X, X, Y, Z) = mtvisible(Z).
% 148.68/19.58 Axiom 11 (ax1_128): fresh664(X, X, Y, Z) = true2.
% 148.68/19.58 Axiom 12 (ax1_462): fresh502(geolevel_4(X), true2, X) = geographicalregion(X).
% 148.68/19.58 Axiom 13 (ax1_1123): fresh681(mtvisible(X), true2, X, Y) = fresh680(genlmt(X, Y), true2, Y).
% 148.68/19.58 Axiom 14 (ax1_128): fresh664(geographicalsubregions(X, Y), true2, X, Y) = inregion(Y, X).
% 148.68/19.58
% 148.68/19.58 Goal 1 (query107_1): inregion(X, c_georegion_l4_x75_y75) = true2.
% 148.68/19.58 The goal is true when:
% 148.68/19.58 X = c_georegion_l4_x75_y75
% 148.68/19.58
% 148.68/19.58 Proof:
% 148.68/19.58 inregion(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
% 148.68/19.58 = { by axiom 14 (ax1_128) R->L }
% 148.68/19.58 fresh664(geographicalsubregions(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
% 148.68/19.58 = { by axiom 9 (ax1_1042) R->L }
% 148.68/19.58 fresh664(fresh774(geographicalregion(c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
% 148.68/19.58 = { by axiom 12 (ax1_462) R->L }
% 148.68/19.58 fresh664(fresh774(fresh502(geolevel_4(c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
% 148.68/19.58 = { by axiom 8 (ax1_464) R->L }
% 148.68/19.58 fresh664(fresh774(fresh502(fresh500(mtvisible(c_worldgeographymt), true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
% 148.68/19.58 = { by axiom 10 (ax1_1123) R->L }
% 148.68/19.58 fresh664(fresh774(fresh502(fresh500(fresh681(true2, true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
% 148.68/19.58 = { by axiom 6 (ax1_1123) R->L }
% 148.68/19.58 fresh664(fresh774(fresh502(fresh500(fresh681(fresh680(true2, true2, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
% 148.68/19.58 = { by axiom 3 (ax1_1) R->L }
% 148.68/19.58 fresh664(fresh774(fresh502(fresh500(fresh681(fresh680(genlmt(c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
% 148.68/19.58 = { by axiom 13 (ax1_1123) R->L }
% 148.68/19.58 fresh664(fresh774(fresh502(fresh500(fresh681(fresh681(mtvisible(c_tptpgeo_member8_mt), true2, c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
% 148.68/19.58 = { by axiom 1 (query107) }
% 148.68/19.58 fresh664(fresh774(fresh502(fresh500(fresh681(fresh681(true2, true2, c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
% 148.68/19.58 = { by axiom 10 (ax1_1123) }
% 148.68/19.58 fresh664(fresh774(fresh502(fresh500(fresh681(mtvisible(c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
% 148.68/19.58 = { by axiom 13 (ax1_1123) }
% 148.68/19.58 fresh664(fresh774(fresh502(fresh500(fresh680(genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt), true2, c_worldgeographymt), true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
% 148.68/19.58 = { by axiom 2 (ax1_326) }
% 148.68/19.58 fresh664(fresh774(fresh502(fresh500(fresh680(true2, true2, c_worldgeographymt), true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
% 148.68/19.58 = { by axiom 6 (ax1_1123) }
% 148.68/19.58 fresh664(fresh774(fresh502(fresh500(true2, true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
% 148.68/19.58 = { by axiom 4 (ax1_464) }
% 148.68/19.58 fresh664(fresh774(fresh502(true2, true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
% 148.68/19.58 = { by axiom 7 (ax1_462) }
% 148.68/19.58 fresh664(fresh774(true2, true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
% 148.68/19.58 = { by axiom 5 (ax1_1042) }
% 148.68/19.58 fresh664(true2, true2, c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
% 148.68/19.58 = { by axiom 11 (ax1_128) }
% 148.68/19.58 true2
% 148.68/19.58 % SZS output end Proof
% 148.68/19.58
% 148.68/19.58 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------