TSTP Solution File: CSR029+2 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : CSR029+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 : n012.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 21:41:04 EDT 2023
% Result : Theorem 164.58s 21.52s
% Output : Proof 164.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CSR029+2 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % 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 : n012.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 12:23:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 164.58/21.52 Command-line arguments: --flip-ordering --lhs-weight 1 --depth-weight 60 --distributivity-heuristic
% 164.58/21.52
% 164.58/21.52 % SZS status Theorem
% 164.58/21.52
% 164.58/21.52 % SZS output start Proof
% 164.58/21.52 Take the following subset of the input axioms:
% 164.58/21.52 fof(ax1_1123, axiom, ![SPECMT, GENLMT]: ((mtvisible(SPECMT) & genlmt(SPECMT, GENLMT)) => mtvisible(GENLMT))).
% 164.58/21.52 fof(ax1_121, axiom, mtvisible(c_worldgeographymt) => geolevel_3(c_georegion_l3_x4_y13)).
% 164.58/21.52 fof(ax1_128, axiom, ![ARG1, ARG2]: (geographicalsubregions(ARG1, ARG2) => inregion(ARG2, ARG1))).
% 164.58/21.52 fof(ax1_212, axiom, genlmt(c_tptpgeo_member3_mt, c_tptpgeo_spindleheadmt)).
% 164.58/21.52 fof(ax1_282, axiom, mtvisible(c_tptpgeo_member3_mt) => inregion(c_geolocation_x14_y39, c_georegion_l4_x14_y39)).
% 164.58/21.52 fof(ax1_326, axiom, genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt)).
% 164.58/21.52 fof(ax1_337, axiom, mtvisible(c_tptpgeo_member3_mt) => geographicalsubregions(c_georegion_l3_x4_y13, c_georegion_l4_x14_y39)).
% 164.58/21.52 fof(ax1_933, axiom, ![X, Y, Z]: ((inregion(X, Y) & inregion(Y, Z)) => inregion(X, Z))).
% 164.58/21.52 fof(query79, conjecture, mtvisible(c_tptpgeo_member3_mt) => (inregion(c_geolocation_x14_y39, c_georegion_l3_x4_y13) & geolevel_3(c_georegion_l3_x4_y13))).
% 164.58/21.52
% 164.58/21.52 Now clausify the problem and encode Horn clauses using encoding 3 of
% 164.58/21.52 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 164.58/21.52 We repeatedly replace C & s=t => u=v by the two clauses:
% 164.58/21.52 fresh(y, y, x1...xn) = u
% 164.58/21.52 C => fresh(s, t, x1...xn) = v
% 164.58/21.52 where fresh is a fresh function symbol and x1..xn are the free
% 164.58/21.52 variables of u and v.
% 164.58/21.52 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 164.58/21.52 input problem has no model of domain size 1).
% 164.58/21.52
% 164.58/21.52 The encoding turns the above axioms into the following unit equations and goals:
% 164.58/21.52
% 164.58/21.52 Axiom 1 (query79): mtvisible(c_tptpgeo_member3_mt) = true2.
% 164.58/21.52 Axiom 2 (ax1_326): genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt) = true2.
% 164.58/21.52 Axiom 3 (ax1_212): genlmt(c_tptpgeo_member3_mt, c_tptpgeo_spindleheadmt) = true2.
% 164.58/21.52 Axiom 4 (ax1_121): fresh668(X, X) = true2.
% 164.58/21.52 Axiom 5 (ax1_282): fresh592(X, X) = true2.
% 164.58/21.52 Axiom 6 (ax1_337): fresh563(X, X) = true2.
% 164.58/21.52 Axiom 7 (ax1_1123): fresh680(X, X, Y) = true2.
% 164.58/21.52 Axiom 8 (ax1_121): fresh668(mtvisible(c_worldgeographymt), true2) = geolevel_3(c_georegion_l3_x4_y13).
% 164.58/21.52 Axiom 9 (ax1_282): fresh592(mtvisible(c_tptpgeo_member3_mt), true2) = inregion(c_geolocation_x14_y39, c_georegion_l4_x14_y39).
% 164.58/21.52 Axiom 10 (ax1_337): fresh563(mtvisible(c_tptpgeo_member3_mt), true2) = geographicalsubregions(c_georegion_l3_x4_y13, c_georegion_l4_x14_y39).
% 164.58/21.52 Axiom 11 (ax1_1123): fresh681(X, X, Y, Z) = mtvisible(Z).
% 164.58/21.52 Axiom 12 (ax1_128): fresh664(X, X, Y, Z) = true2.
% 164.58/21.52 Axiom 13 (ax1_933): fresh60(X, X, Y, Z) = true2.
% 164.58/21.52 Axiom 14 (ax1_1123): fresh681(mtvisible(X), true2, X, Y) = fresh680(genlmt(X, Y), true2, Y).
% 164.58/21.52 Axiom 15 (ax1_933): fresh61(X, X, Y, Z, W) = inregion(Y, W).
% 164.58/21.52 Axiom 16 (ax1_128): fresh664(geographicalsubregions(X, Y), true2, X, Y) = inregion(Y, X).
% 164.58/21.52 Axiom 17 (ax1_933): fresh61(inregion(X, Y), true2, Z, X, Y) = fresh60(inregion(Z, X), true2, Z, Y).
% 164.58/21.52
% 164.58/21.52 Goal 1 (query79_1): tuple2(inregion(c_geolocation_x14_y39, c_georegion_l3_x4_y13), geolevel_3(c_georegion_l3_x4_y13)) = tuple2(true2, true2).
% 164.58/21.52 Proof:
% 164.58/21.52 tuple2(inregion(c_geolocation_x14_y39, c_georegion_l3_x4_y13), geolevel_3(c_georegion_l3_x4_y13))
% 164.58/21.52 = { by axiom 8 (ax1_121) R->L }
% 164.58/21.52 tuple2(inregion(c_geolocation_x14_y39, c_georegion_l3_x4_y13), fresh668(mtvisible(c_worldgeographymt), true2))
% 164.58/21.52 = { by axiom 11 (ax1_1123) R->L }
% 164.58/21.52 tuple2(inregion(c_geolocation_x14_y39, c_georegion_l3_x4_y13), fresh668(fresh681(true2, true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2))
% 164.58/21.52 = { by axiom 7 (ax1_1123) R->L }
% 164.58/21.52 tuple2(inregion(c_geolocation_x14_y39, c_georegion_l3_x4_y13), fresh668(fresh681(fresh680(true2, true2, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2))
% 164.58/21.52 = { by axiom 3 (ax1_212) R->L }
% 164.58/21.52 tuple2(inregion(c_geolocation_x14_y39, c_georegion_l3_x4_y13), fresh668(fresh681(fresh680(genlmt(c_tptpgeo_member3_mt, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2))
% 164.58/21.52 = { by axiom 14 (ax1_1123) R->L }
% 164.58/21.52 tuple2(inregion(c_geolocation_x14_y39, c_georegion_l3_x4_y13), fresh668(fresh681(fresh681(mtvisible(c_tptpgeo_member3_mt), true2, c_tptpgeo_member3_mt, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2))
% 164.58/21.52 = { by axiom 1 (query79) }
% 164.58/21.52 tuple2(inregion(c_geolocation_x14_y39, c_georegion_l3_x4_y13), fresh668(fresh681(fresh681(true2, true2, c_tptpgeo_member3_mt, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2))
% 164.58/21.52 = { by axiom 11 (ax1_1123) }
% 164.58/21.52 tuple2(inregion(c_geolocation_x14_y39, c_georegion_l3_x4_y13), fresh668(fresh681(mtvisible(c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2))
% 164.58/21.52 = { by axiom 14 (ax1_1123) }
% 164.58/21.52 tuple2(inregion(c_geolocation_x14_y39, c_georegion_l3_x4_y13), fresh668(fresh680(genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt), true2, c_worldgeographymt), true2))
% 164.58/21.52 = { by axiom 2 (ax1_326) }
% 164.58/21.52 tuple2(inregion(c_geolocation_x14_y39, c_georegion_l3_x4_y13), fresh668(fresh680(true2, true2, c_worldgeographymt), true2))
% 164.58/21.52 = { by axiom 7 (ax1_1123) }
% 164.58/21.52 tuple2(inregion(c_geolocation_x14_y39, c_georegion_l3_x4_y13), fresh668(true2, true2))
% 164.58/21.52 = { by axiom 4 (ax1_121) }
% 164.58/21.52 tuple2(inregion(c_geolocation_x14_y39, c_georegion_l3_x4_y13), true2)
% 164.58/21.52 = { by axiom 15 (ax1_933) R->L }
% 164.58/21.52 tuple2(fresh61(true2, true2, c_geolocation_x14_y39, c_georegion_l4_x14_y39, c_georegion_l3_x4_y13), true2)
% 164.58/21.52 = { by axiom 12 (ax1_128) R->L }
% 164.58/21.53 tuple2(fresh61(fresh664(true2, true2, c_georegion_l3_x4_y13, c_georegion_l4_x14_y39), true2, c_geolocation_x14_y39, c_georegion_l4_x14_y39, c_georegion_l3_x4_y13), true2)
% 164.58/21.53 = { by axiom 6 (ax1_337) R->L }
% 164.58/21.53 tuple2(fresh61(fresh664(fresh563(true2, true2), true2, c_georegion_l3_x4_y13, c_georegion_l4_x14_y39), true2, c_geolocation_x14_y39, c_georegion_l4_x14_y39, c_georegion_l3_x4_y13), true2)
% 164.58/21.53 = { by axiom 1 (query79) R->L }
% 164.58/21.53 tuple2(fresh61(fresh664(fresh563(mtvisible(c_tptpgeo_member3_mt), true2), true2, c_georegion_l3_x4_y13, c_georegion_l4_x14_y39), true2, c_geolocation_x14_y39, c_georegion_l4_x14_y39, c_georegion_l3_x4_y13), true2)
% 164.58/21.53 = { by axiom 10 (ax1_337) }
% 164.58/21.53 tuple2(fresh61(fresh664(geographicalsubregions(c_georegion_l3_x4_y13, c_georegion_l4_x14_y39), true2, c_georegion_l3_x4_y13, c_georegion_l4_x14_y39), true2, c_geolocation_x14_y39, c_georegion_l4_x14_y39, c_georegion_l3_x4_y13), true2)
% 164.58/21.53 = { by axiom 16 (ax1_128) }
% 164.58/21.53 tuple2(fresh61(inregion(c_georegion_l4_x14_y39, c_georegion_l3_x4_y13), true2, c_geolocation_x14_y39, c_georegion_l4_x14_y39, c_georegion_l3_x4_y13), true2)
% 164.58/21.53 = { by axiom 17 (ax1_933) }
% 164.58/21.53 tuple2(fresh60(inregion(c_geolocation_x14_y39, c_georegion_l4_x14_y39), true2, c_geolocation_x14_y39, c_georegion_l3_x4_y13), true2)
% 164.58/21.53 = { by axiom 9 (ax1_282) R->L }
% 164.58/21.53 tuple2(fresh60(fresh592(mtvisible(c_tptpgeo_member3_mt), true2), true2, c_geolocation_x14_y39, c_georegion_l3_x4_y13), true2)
% 164.58/21.53 = { by axiom 1 (query79) }
% 164.58/21.53 tuple2(fresh60(fresh592(true2, true2), true2, c_geolocation_x14_y39, c_georegion_l3_x4_y13), true2)
% 164.58/21.53 = { by axiom 5 (ax1_282) }
% 164.58/21.53 tuple2(fresh60(true2, true2, c_geolocation_x14_y39, c_georegion_l3_x4_y13), true2)
% 164.58/21.53 = { by axiom 13 (ax1_933) }
% 164.58/21.53 tuple2(true2, true2)
% 164.58/21.53 % SZS output end Proof
% 164.58/21.53
% 164.58/21.53 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------