TSTP Solution File: CSR033+2 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : CSR033+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 21:41:08 EDT 2023
% Result : Theorem 209.86s 27.10s
% Output : Proof 209.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : CSR033+2 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.12 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 11:59:54 EDT 2023
% 0.12/0.34 % CPUTime :
% 209.86/27.10 Command-line arguments: --kbo-weight0 --lhs-weight 5 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --goal-heuristic
% 209.86/27.10
% 209.86/27.10 % SZS status Theorem
% 209.86/27.10
% 209.86/27.11 % SZS output start Proof
% 209.86/27.11 Take the following subset of the input axioms:
% 209.86/27.11 fof(ax1_1, axiom, genlmt(c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt)).
% 209.86/27.11 fof(ax1_1123, axiom, ![SPECMT, GENLMT]: ((mtvisible(SPECMT) & genlmt(SPECMT, GENLMT)) => mtvisible(GENLMT))).
% 209.86/27.11 fof(ax1_128, axiom, ![ARG1, ARG2]: (geographicalsubregions(ARG1, ARG2) => inregion(ARG2, ARG1))).
% 209.86/27.11 fof(ax1_18, axiom, mtvisible(c_tptpgeo_member2_mt) => geographicalsubregions(c_georegion_l1_x2_y0, c_georegion_l2_x8_y2)).
% 209.86/27.11 fof(ax1_273, axiom, genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member2_mt)).
% 209.86/27.11 fof(ax1_291, axiom, mtvisible(c_tptpgeo_member2_mt) => geographicalsubregions(c_georegion_l2_x8_y2, c_georegion_l3_x25_y7)).
% 209.86/27.11 fof(ax1_292, axiom, mtvisible(c_worldgeographymt) => geolevel_1(c_georegion_l1_x2_y0)).
% 209.86/27.11 fof(ax1_300, axiom, mtvisible(c_tptpgeo_member2_mt) => geographicalsubregions(c_georegion_l3_x25_y7, c_georegion_l4_x76_y23)).
% 209.86/27.11 fof(ax1_326, axiom, genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt)).
% 209.86/27.11 fof(ax1_355, axiom, mtvisible(c_tptpgeo_member2_mt) => inregion(c_geolocation_x76_y23, c_georegion_l4_x76_y23)).
% 209.86/27.11 fof(ax1_369, axiom, genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member8_mt)).
% 209.86/27.11 fof(ax1_933, axiom, ![X, Y, Z]: ((inregion(X, Y) & inregion(Y, Z)) => inregion(X, Z))).
% 209.86/27.11 fof(query83, conjecture, mtvisible(c_tptpgeo_spindlecollectormt) => (inregion(c_geolocation_x76_y23, c_georegion_l1_x2_y0) & geolevel_1(c_georegion_l1_x2_y0))).
% 209.86/27.11
% 209.86/27.11 Now clausify the problem and encode Horn clauses using encoding 3 of
% 209.86/27.11 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 209.86/27.11 We repeatedly replace C & s=t => u=v by the two clauses:
% 209.86/27.11 fresh(y, y, x1...xn) = u
% 209.86/27.11 C => fresh(s, t, x1...xn) = v
% 209.86/27.11 where fresh is a fresh function symbol and x1..xn are the free
% 209.86/27.11 variables of u and v.
% 209.86/27.11 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 209.86/27.11 input problem has no model of domain size 1).
% 209.86/27.11
% 209.86/27.11 The encoding turns the above axioms into the following unit equations and goals:
% 209.86/27.11
% 209.86/27.11 Axiom 1 (ax1_273): genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member2_mt) = true2.
% 209.86/27.11 Axiom 2 (ax1_369): genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member8_mt) = true2.
% 209.86/27.11 Axiom 3 (ax1_326): genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt) = true2.
% 209.86/27.11 Axiom 4 (ax1_1): genlmt(c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt) = true2.
% 209.86/27.11 Axiom 5 (query83): mtvisible(c_tptpgeo_spindlecollectormt) = true2.
% 209.86/27.11 Axiom 6 (ax1_18): fresh641(X, X) = true2.
% 209.86/27.11 Axiom 7 (ax1_291): fresh587(X, X) = true2.
% 209.86/27.11 Axiom 8 (ax1_292): fresh586(X, X) = true2.
% 209.86/27.11 Axiom 9 (ax1_300): fresh581(X, X) = true2.
% 209.86/27.11 Axiom 10 (ax1_355): fresh556(X, X) = true2.
% 209.86/27.11 Axiom 11 (ax1_1123): fresh680(X, X, Y) = true2.
% 209.86/27.11 Axiom 12 (ax1_18): fresh641(mtvisible(c_tptpgeo_member2_mt), true2) = geographicalsubregions(c_georegion_l1_x2_y0, c_georegion_l2_x8_y2).
% 209.86/27.11 Axiom 13 (ax1_291): fresh587(mtvisible(c_tptpgeo_member2_mt), true2) = geographicalsubregions(c_georegion_l2_x8_y2, c_georegion_l3_x25_y7).
% 209.86/27.11 Axiom 14 (ax1_292): fresh586(mtvisible(c_worldgeographymt), true2) = geolevel_1(c_georegion_l1_x2_y0).
% 209.86/27.11 Axiom 15 (ax1_300): fresh581(mtvisible(c_tptpgeo_member2_mt), true2) = geographicalsubregions(c_georegion_l3_x25_y7, c_georegion_l4_x76_y23).
% 209.86/27.11 Axiom 16 (ax1_355): fresh556(mtvisible(c_tptpgeo_member2_mt), true2) = inregion(c_geolocation_x76_y23, c_georegion_l4_x76_y23).
% 209.86/27.11 Axiom 17 (ax1_1123): fresh681(X, X, Y, Z) = mtvisible(Z).
% 209.86/27.11 Axiom 18 (ax1_128): fresh664(X, X, Y, Z) = true2.
% 209.86/27.11 Axiom 19 (ax1_933): fresh60(X, X, Y, Z) = true2.
% 209.86/27.11 Axiom 20 (ax1_1123): fresh681(mtvisible(X), true2, X, Y) = fresh680(genlmt(X, Y), true2, Y).
% 209.86/27.11 Axiom 21 (ax1_128): fresh664(geographicalsubregions(X, Y), true2, X, Y) = inregion(Y, X).
% 209.86/27.11 Axiom 22 (ax1_933): fresh61(X, X, Y, Z, W) = inregion(Y, W).
% 209.86/27.11 Axiom 23 (ax1_933): fresh61(inregion(X, Y), true2, Z, X, Y) = fresh60(inregion(Z, X), true2, Z, Y).
% 209.86/27.11
% 209.86/27.11 Lemma 24: mtvisible(c_tptpgeo_member2_mt) = true2.
% 209.86/27.11 Proof:
% 209.86/27.11 mtvisible(c_tptpgeo_member2_mt)
% 209.86/27.11 = { by axiom 17 (ax1_1123) R->L }
% 209.86/27.11 fresh681(true2, true2, c_tptpgeo_spindlecollectormt, c_tptpgeo_member2_mt)
% 209.86/27.11 = { by axiom 5 (query83) R->L }
% 209.86/27.11 fresh681(mtvisible(c_tptpgeo_spindlecollectormt), true2, c_tptpgeo_spindlecollectormt, c_tptpgeo_member2_mt)
% 209.86/27.11 = { by axiom 20 (ax1_1123) }
% 209.86/27.11 fresh680(genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member2_mt), true2, c_tptpgeo_member2_mt)
% 209.86/27.11 = { by axiom 1 (ax1_273) }
% 209.86/27.11 fresh680(true2, true2, c_tptpgeo_member2_mt)
% 209.86/27.11 = { by axiom 11 (ax1_1123) }
% 209.86/27.11 true2
% 209.86/27.11
% 209.86/27.11 Goal 1 (query83_1): tuple2(inregion(c_geolocation_x76_y23, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0)) = tuple2(true2, true2).
% 209.86/27.11 Proof:
% 209.86/27.11 tuple2(inregion(c_geolocation_x76_y23, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.11 = { by axiom 22 (ax1_933) R->L }
% 209.86/27.12 tuple2(fresh61(true2, true2, c_geolocation_x76_y23, c_georegion_l2_x8_y2, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 18 (ax1_128) R->L }
% 209.86/27.12 tuple2(fresh61(fresh664(true2, true2, c_georegion_l1_x2_y0, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l2_x8_y2, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 6 (ax1_18) R->L }
% 209.86/27.12 tuple2(fresh61(fresh664(fresh641(true2, true2), true2, c_georegion_l1_x2_y0, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l2_x8_y2, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by lemma 24 R->L }
% 209.86/27.12 tuple2(fresh61(fresh664(fresh641(mtvisible(c_tptpgeo_member2_mt), true2), true2, c_georegion_l1_x2_y0, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l2_x8_y2, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 12 (ax1_18) }
% 209.86/27.12 tuple2(fresh61(fresh664(geographicalsubregions(c_georegion_l1_x2_y0, c_georegion_l2_x8_y2), true2, c_georegion_l1_x2_y0, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l2_x8_y2, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 21 (ax1_128) }
% 209.86/27.12 tuple2(fresh61(inregion(c_georegion_l2_x8_y2, c_georegion_l1_x2_y0), true2, c_geolocation_x76_y23, c_georegion_l2_x8_y2, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 23 (ax1_933) }
% 209.86/27.12 tuple2(fresh60(inregion(c_geolocation_x76_y23, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 22 (ax1_933) R->L }
% 209.86/27.12 tuple2(fresh60(fresh61(true2, true2, c_geolocation_x76_y23, c_georegion_l3_x25_y7, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 18 (ax1_128) R->L }
% 209.86/27.12 tuple2(fresh60(fresh61(fresh664(true2, true2, c_georegion_l2_x8_y2, c_georegion_l3_x25_y7), true2, c_geolocation_x76_y23, c_georegion_l3_x25_y7, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 7 (ax1_291) R->L }
% 209.86/27.12 tuple2(fresh60(fresh61(fresh664(fresh587(true2, true2), true2, c_georegion_l2_x8_y2, c_georegion_l3_x25_y7), true2, c_geolocation_x76_y23, c_georegion_l3_x25_y7, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by lemma 24 R->L }
% 209.86/27.12 tuple2(fresh60(fresh61(fresh664(fresh587(mtvisible(c_tptpgeo_member2_mt), true2), true2, c_georegion_l2_x8_y2, c_georegion_l3_x25_y7), true2, c_geolocation_x76_y23, c_georegion_l3_x25_y7, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 13 (ax1_291) }
% 209.86/27.12 tuple2(fresh60(fresh61(fresh664(geographicalsubregions(c_georegion_l2_x8_y2, c_georegion_l3_x25_y7), true2, c_georegion_l2_x8_y2, c_georegion_l3_x25_y7), true2, c_geolocation_x76_y23, c_georegion_l3_x25_y7, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 21 (ax1_128) }
% 209.86/27.12 tuple2(fresh60(fresh61(inregion(c_georegion_l3_x25_y7, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l3_x25_y7, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 23 (ax1_933) }
% 209.86/27.12 tuple2(fresh60(fresh60(inregion(c_geolocation_x76_y23, c_georegion_l3_x25_y7), true2, c_geolocation_x76_y23, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 22 (ax1_933) R->L }
% 209.86/27.12 tuple2(fresh60(fresh60(fresh61(true2, true2, c_geolocation_x76_y23, c_georegion_l4_x76_y23, c_georegion_l3_x25_y7), true2, c_geolocation_x76_y23, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 18 (ax1_128) R->L }
% 209.86/27.12 tuple2(fresh60(fresh60(fresh61(fresh664(true2, true2, c_georegion_l3_x25_y7, c_georegion_l4_x76_y23), true2, c_geolocation_x76_y23, c_georegion_l4_x76_y23, c_georegion_l3_x25_y7), true2, c_geolocation_x76_y23, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 9 (ax1_300) R->L }
% 209.86/27.12 tuple2(fresh60(fresh60(fresh61(fresh664(fresh581(true2, true2), true2, c_georegion_l3_x25_y7, c_georegion_l4_x76_y23), true2, c_geolocation_x76_y23, c_georegion_l4_x76_y23, c_georegion_l3_x25_y7), true2, c_geolocation_x76_y23, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by lemma 24 R->L }
% 209.86/27.12 tuple2(fresh60(fresh60(fresh61(fresh664(fresh581(mtvisible(c_tptpgeo_member2_mt), true2), true2, c_georegion_l3_x25_y7, c_georegion_l4_x76_y23), true2, c_geolocation_x76_y23, c_georegion_l4_x76_y23, c_georegion_l3_x25_y7), true2, c_geolocation_x76_y23, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 15 (ax1_300) }
% 209.86/27.12 tuple2(fresh60(fresh60(fresh61(fresh664(geographicalsubregions(c_georegion_l3_x25_y7, c_georegion_l4_x76_y23), true2, c_georegion_l3_x25_y7, c_georegion_l4_x76_y23), true2, c_geolocation_x76_y23, c_georegion_l4_x76_y23, c_georegion_l3_x25_y7), true2, c_geolocation_x76_y23, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 21 (ax1_128) }
% 209.86/27.12 tuple2(fresh60(fresh60(fresh61(inregion(c_georegion_l4_x76_y23, c_georegion_l3_x25_y7), true2, c_geolocation_x76_y23, c_georegion_l4_x76_y23, c_georegion_l3_x25_y7), true2, c_geolocation_x76_y23, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 23 (ax1_933) }
% 209.86/27.12 tuple2(fresh60(fresh60(fresh60(inregion(c_geolocation_x76_y23, c_georegion_l4_x76_y23), true2, c_geolocation_x76_y23, c_georegion_l3_x25_y7), true2, c_geolocation_x76_y23, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 16 (ax1_355) R->L }
% 209.86/27.12 tuple2(fresh60(fresh60(fresh60(fresh556(mtvisible(c_tptpgeo_member2_mt), true2), true2, c_geolocation_x76_y23, c_georegion_l3_x25_y7), true2, c_geolocation_x76_y23, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by lemma 24 }
% 209.86/27.12 tuple2(fresh60(fresh60(fresh60(fresh556(true2, true2), true2, c_geolocation_x76_y23, c_georegion_l3_x25_y7), true2, c_geolocation_x76_y23, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 10 (ax1_355) }
% 209.86/27.12 tuple2(fresh60(fresh60(fresh60(true2, true2, c_geolocation_x76_y23, c_georegion_l3_x25_y7), true2, c_geolocation_x76_y23, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 19 (ax1_933) }
% 209.86/27.12 tuple2(fresh60(fresh60(true2, true2, c_geolocation_x76_y23, c_georegion_l2_x8_y2), true2, c_geolocation_x76_y23, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 19 (ax1_933) }
% 209.86/27.12 tuple2(fresh60(true2, true2, c_geolocation_x76_y23, c_georegion_l1_x2_y0), geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 19 (ax1_933) }
% 209.86/27.12 tuple2(true2, geolevel_1(c_georegion_l1_x2_y0))
% 209.86/27.12 = { by axiom 14 (ax1_292) R->L }
% 209.86/27.12 tuple2(true2, fresh586(mtvisible(c_worldgeographymt), true2))
% 209.86/27.12 = { by axiom 17 (ax1_1123) R->L }
% 209.86/27.12 tuple2(true2, fresh586(fresh681(true2, true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2))
% 209.86/27.12 = { by axiom 11 (ax1_1123) R->L }
% 209.86/27.12 tuple2(true2, fresh586(fresh681(fresh680(true2, true2, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2))
% 209.86/27.12 = { by axiom 4 (ax1_1) R->L }
% 209.86/27.12 tuple2(true2, fresh586(fresh681(fresh680(genlmt(c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2))
% 209.86/27.12 = { by axiom 20 (ax1_1123) R->L }
% 209.86/27.12 tuple2(true2, fresh586(fresh681(fresh681(mtvisible(c_tptpgeo_member8_mt), true2, c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2))
% 209.86/27.12 = { by axiom 17 (ax1_1123) R->L }
% 209.86/27.12 tuple2(true2, fresh586(fresh681(fresh681(fresh681(true2, true2, c_tptpgeo_spindlecollectormt, c_tptpgeo_member8_mt), true2, c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2))
% 209.86/27.12 = { by axiom 5 (query83) R->L }
% 209.86/27.12 tuple2(true2, fresh586(fresh681(fresh681(fresh681(mtvisible(c_tptpgeo_spindlecollectormt), true2, c_tptpgeo_spindlecollectormt, c_tptpgeo_member8_mt), true2, c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2))
% 209.86/27.12 = { by axiom 20 (ax1_1123) }
% 209.86/27.12 tuple2(true2, fresh586(fresh681(fresh681(fresh680(genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member8_mt), true2, c_tptpgeo_member8_mt), true2, c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2))
% 209.86/27.12 = { by axiom 2 (ax1_369) }
% 209.86/27.12 tuple2(true2, fresh586(fresh681(fresh681(fresh680(true2, true2, c_tptpgeo_member8_mt), true2, c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2))
% 209.86/27.12 = { by axiom 11 (ax1_1123) }
% 209.86/27.12 tuple2(true2, fresh586(fresh681(fresh681(true2, true2, c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2))
% 209.86/27.12 = { by axiom 17 (ax1_1123) }
% 209.86/27.12 tuple2(true2, fresh586(fresh681(mtvisible(c_tptpgeo_spindleheadmt), true2, c_tptpgeo_spindleheadmt, c_worldgeographymt), true2))
% 209.86/27.12 = { by axiom 20 (ax1_1123) }
% 209.86/27.12 tuple2(true2, fresh586(fresh680(genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt), true2, c_worldgeographymt), true2))
% 209.86/27.12 = { by axiom 3 (ax1_326) }
% 209.86/27.12 tuple2(true2, fresh586(fresh680(true2, true2, c_worldgeographymt), true2))
% 209.86/27.12 = { by axiom 11 (ax1_1123) }
% 209.86/27.12 tuple2(true2, fresh586(true2, true2))
% 209.86/27.12 = { by axiom 8 (ax1_292) }
% 209.86/27.12 tuple2(true2, true2)
% 209.86/27.12 % SZS output end Proof
% 209.86/27.12
% 209.86/27.12 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------