TSTP Solution File: CSR029+1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : CSR029+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 : n029.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 0.18s 0.46s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : CSR029+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.12 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 11:57:26 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.18/0.46 Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 0.18/0.46
% 0.18/0.46 % SZS status Theorem
% 0.18/0.46
% 0.18/0.47 % SZS output start Proof
% 0.18/0.47 Take the following subset of the input axioms:
% 0.18/0.47 fof(just10, axiom, mtvisible(c_worldgeographymt) => geolevel_3(c_georegion_l3_x4_y13)).
% 0.18/0.47 fof(just11, axiom, mtvisible(c_tptpgeo_member3_mt) => geographicalsubregions(c_georegion_l3_x4_y13, c_georegion_l4_x14_y39)).
% 0.18/0.47 fof(just12, axiom, mtvisible(c_tptpgeo_member3_mt) => inregion(c_geolocation_x14_y39, c_georegion_l4_x14_y39)).
% 0.18/0.47 fof(just41, axiom, ![X, Y, Z]: ((inregion(X, Y) & inregion(Y, Z)) => inregion(X, Z))).
% 0.18/0.47 fof(just49, axiom, ![SPECMT, GENLMT]: ((mtvisible(SPECMT) & genlmt(SPECMT, GENLMT)) => mtvisible(GENLMT))).
% 0.18/0.47 fof(just5, axiom, ![ARG1, ARG2]: (geographicalsubregions(ARG1, ARG2) => inregion(ARG2, ARG1))).
% 0.18/0.47 fof(just8, axiom, genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt)).
% 0.18/0.47 fof(just9, axiom, genlmt(c_tptpgeo_member3_mt, c_tptpgeo_spindleheadmt)).
% 0.18/0.47 fof(query29, conjecture, mtvisible(c_tptpgeo_member3_mt) => (inregion(c_geolocation_x14_y39, c_georegion_l3_x4_y13) & geolevel_3(c_georegion_l3_x4_y13))).
% 0.18/0.47
% 0.18/0.47 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.18/0.47 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.18/0.47 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.18/0.47 fresh(y, y, x1...xn) = u
% 0.18/0.47 C => fresh(s, t, x1...xn) = v
% 0.18/0.47 where fresh is a fresh function symbol and x1..xn are the free
% 0.18/0.47 variables of u and v.
% 0.18/0.47 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.18/0.47 input problem has no model of domain size 1).
% 0.18/0.47
% 0.18/0.47 The encoding turns the above axioms into the following unit equations and goals:
% 0.18/0.47
% 0.18/0.47 Axiom 1 (query29): mtvisible(c_tptpgeo_member3_mt) = true2.
% 0.18/0.47 Axiom 2 (just11): fresh57(X, X) = true2.
% 0.18/0.47 Axiom 3 (just10): fresh56(X, X) = true2.
% 0.18/0.47 Axiom 4 (just12): fresh55(X, X) = true2.
% 0.18/0.48 Axiom 5 (just8): genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt) = true2.
% 0.18/0.48 Axiom 6 (just9): genlmt(c_tptpgeo_member3_mt, c_tptpgeo_spindleheadmt) = true2.
% 0.18/0.48 Axiom 7 (just11): fresh57(mtvisible(c_tptpgeo_member3_mt), true2) = geographicalsubregions(c_georegion_l3_x4_y13, c_georegion_l4_x14_y39).
% 0.18/0.48 Axiom 8 (just10): fresh56(mtvisible(c_worldgeographymt), true2) = geolevel_3(c_georegion_l3_x4_y13).
% 0.18/0.48 Axiom 9 (just12): fresh55(mtvisible(c_tptpgeo_member3_mt), true2) = inregion(c_geolocation_x14_y39, c_georegion_l4_x14_y39).
% 0.18/0.48 Axiom 10 (just49): fresh10(X, X, Y) = true2.
% 0.18/0.48 Axiom 11 (just41): fresh19(X, X, Y, Z) = true2.
% 0.18/0.48 Axiom 12 (just49): fresh11(X, X, Y, Z) = mtvisible(Z).
% 0.18/0.48 Axiom 13 (just5): fresh9(X, X, Y, Z) = true2.
% 0.18/0.48 Axiom 14 (just41): fresh20(X, X, Y, Z, W) = inregion(Y, W).
% 0.18/0.48 Axiom 15 (just49): fresh11(mtvisible(X), true2, X, Y) = fresh10(genlmt(X, Y), true2, Y).
% 0.18/0.48 Axiom 16 (just5): fresh9(geographicalsubregions(X, Y), true2, X, Y) = inregion(Y, X).
% 0.18/0.48 Axiom 17 (just41): fresh20(inregion(X, Y), true2, Z, X, Y) = fresh19(inregion(Z, X), true2, Z, Y).
% 0.18/0.48
% 0.18/0.48 Goal 1 (query29_1): tuple2(inregion(c_geolocation_x14_y39, c_georegion_l3_x4_y13), geolevel_3(c_georegion_l3_x4_y13)) = tuple2(true2, true2).
% 0.18/0.48 Proof:
% 0.18/0.48 tuple2(inregion(c_geolocation_x14_y39, c_georegion_l3_x4_y13), geolevel_3(c_georegion_l3_x4_y13))
% 0.18/0.48 = { by axiom 14 (just41) R->L }
% 0.18/0.48 tuple2(fresh20(true2, true2, c_geolocation_x14_y39, c_georegion_l4_x14_y39, c_georegion_l3_x4_y13), geolevel_3(c_georegion_l3_x4_y13))
% 0.18/0.48 = { by axiom 13 (just5) R->L }
% 0.18/0.48 tuple2(fresh20(fresh9(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), geolevel_3(c_georegion_l3_x4_y13))
% 0.18/0.48 = { by axiom 2 (just11) R->L }
% 0.18/0.48 tuple2(fresh20(fresh9(fresh57(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), geolevel_3(c_georegion_l3_x4_y13))
% 0.18/0.48 = { by axiom 1 (query29) R->L }
% 0.18/0.48 tuple2(fresh20(fresh9(fresh57(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), geolevel_3(c_georegion_l3_x4_y13))
% 0.18/0.48 = { by axiom 7 (just11) }
% 0.18/0.48 tuple2(fresh20(fresh9(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), geolevel_3(c_georegion_l3_x4_y13))
% 0.18/0.48 = { by axiom 16 (just5) }
% 0.18/0.48 tuple2(fresh20(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), geolevel_3(c_georegion_l3_x4_y13))
% 0.18/0.48 = { by axiom 17 (just41) }
% 0.18/0.48 tuple2(fresh19(inregion(c_geolocation_x14_y39, c_georegion_l4_x14_y39), true2, c_geolocation_x14_y39, c_georegion_l3_x4_y13), geolevel_3(c_georegion_l3_x4_y13))
% 0.18/0.48 = { by axiom 9 (just12) R->L }
% 0.18/0.48 tuple2(fresh19(fresh55(mtvisible(c_tptpgeo_member3_mt), true2), true2, c_geolocation_x14_y39, c_georegion_l3_x4_y13), geolevel_3(c_georegion_l3_x4_y13))
% 0.18/0.48 = { by axiom 1 (query29) }
% 0.18/0.48 tuple2(fresh19(fresh55(true2, true2), true2, c_geolocation_x14_y39, c_georegion_l3_x4_y13), geolevel_3(c_georegion_l3_x4_y13))
% 0.18/0.48 = { by axiom 4 (just12) }
% 0.18/0.48 tuple2(fresh19(true2, true2, c_geolocation_x14_y39, c_georegion_l3_x4_y13), geolevel_3(c_georegion_l3_x4_y13))
% 0.18/0.48 = { by axiom 11 (just41) }
% 0.18/0.48 tuple2(true2, geolevel_3(c_georegion_l3_x4_y13))
% 0.18/0.48 = { by axiom 8 (just10) R->L }
% 0.18/0.48 tuple2(true2, fresh56(mtvisible(c_worldgeographymt), true2))
% 0.18/0.48 = { by axiom 12 (just49) R->L }
% 0.18/0.48 tuple2(true2, fresh56(fresh11(true2, true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2))
% 0.18/0.48 = { by axiom 10 (just49) R->L }
% 0.18/0.48 tuple2(true2, fresh56(fresh11(fresh10(true2, true2, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2))
% 0.18/0.48 = { by axiom 6 (just9) R->L }
% 0.18/0.48 tuple2(true2, fresh56(fresh11(fresh10(genlmt(c_tptpgeo_member3_mt, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2))
% 0.18/0.48 = { by axiom 15 (just49) R->L }
% 0.18/0.48 tuple2(true2, fresh56(fresh11(fresh11(mtvisible(c_tptpgeo_member3_mt), true2, c_tptpgeo_member3_mt, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2))
% 0.18/0.48 = { by axiom 1 (query29) }
% 0.18/0.48 tuple2(true2, fresh56(fresh11(fresh11(true2, true2, c_tptpgeo_member3_mt, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2))
% 0.18/0.48 = { by axiom 12 (just49) }
% 0.18/0.48 tuple2(true2, fresh56(fresh11(mtvisible(c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2))
% 0.18/0.48 = { by axiom 15 (just49) }
% 0.18/0.48 tuple2(true2, fresh56(fresh10(genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt), true2, c_worldgeographymt), true2))
% 0.18/0.48 = { by axiom 5 (just8) }
% 0.18/0.48 tuple2(true2, fresh56(fresh10(true2, true2, c_worldgeographymt), true2))
% 0.18/0.48 = { by axiom 10 (just49) }
% 0.18/0.48 tuple2(true2, fresh56(true2, true2))
% 0.18/0.48 = { by axiom 3 (just10) }
% 0.18/0.48 tuple2(true2, true2)
% 0.18/0.48 % SZS output end Proof
% 0.18/0.48
% 0.18/0.48 RESULT: Theorem (the conjecture is true).
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