TSTP Solution File: CSR057+1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : CSR057+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 : n026.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 0.19s 0.49s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR057+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.15/0.34 % Computer : n026.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon Aug 28 11:30:49 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.19/0.49 Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 0.19/0.49
% 0.19/0.49 % SZS status Theorem
% 0.19/0.49
% 0.19/0.50 % SZS output start Proof
% 0.19/0.50 Take the following subset of the input axioms:
% 0.19/0.50 fof(just10, axiom, mtvisible(c_worldgeographymt) => geolevel_4(c_georegion_l4_x75_y75)).
% 0.19/0.50 fof(just12, axiom, ![OBJ]: (geolevel_4(OBJ) => geographicalregion(OBJ))).
% 0.19/0.50 fof(just17, axiom, ![OBJ2]: (enduringthing_localized(OBJ2) => spatialthing_nonsituational(OBJ2))).
% 0.19/0.50 fof(just19, axiom, ![OBJ2]: (partiallytangible(OBJ2) => enduringthing_localized(OBJ2))).
% 0.19/0.50 fof(just23, axiom, ![OBJ2]: (geographicalregion(OBJ2) => partiallytangible(OBJ2))).
% 0.19/0.50 fof(just26, axiom, ![COL1, COL2, OBJ2]: ~(isa(OBJ2, COL1) & (isa(OBJ2, COL2) & disjointwith(COL1, COL2)))).
% 0.19/0.50 fof(just42, axiom, ![OBJ2, COL1_2, COL2_2]: ~(isa(OBJ2, COL1_2) & (isa(OBJ2, COL2_2) & disjointwith(COL1_2, COL2_2)))).
% 0.19/0.50 fof(just6, axiom, genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt)).
% 0.19/0.50 fof(just7, axiom, genlmt(c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt)).
% 0.19/0.50 fof(just84, axiom, ![X]: (spatialthing_nonsituational(X) => inregion(X, X))).
% 0.19/0.50 fof(just9, axiom, ![OBJ2, COL1_2, COL2_2]: ~(isa(OBJ2, COL1_2) & (isa(OBJ2, COL2_2) & disjointwith(COL1_2, COL2_2)))).
% 0.19/0.50 fof(just93, axiom, ![SPECMT, GENLMT]: ((mtvisible(SPECMT) & genlmt(SPECMT, GENLMT)) => mtvisible(GENLMT))).
% 0.19/0.50 fof(query57, conjecture, ?[X2]: (mtvisible(c_tptpgeo_member8_mt) => inregion(X2, c_georegion_l4_x75_y75))).
% 0.19/0.50
% 0.19/0.50 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.19/0.50 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.19/0.50 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.19/0.50 fresh(y, y, x1...xn) = u
% 0.19/0.50 C => fresh(s, t, x1...xn) = v
% 0.19/0.50 where fresh is a fresh function symbol and x1..xn are the free
% 0.19/0.50 variables of u and v.
% 0.19/0.50 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.19/0.50 input problem has no model of domain size 1).
% 0.19/0.50
% 0.19/0.50 The encoding turns the above axioms into the following unit equations and goals:
% 0.19/0.50
% 0.19/0.50 Axiom 1 (query57): mtvisible(c_tptpgeo_member8_mt) = true2.
% 0.19/0.50 Axiom 2 (just10): fresh83(X, X) = true2.
% 0.19/0.50 Axiom 3 (just7): genlmt(c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt) = true2.
% 0.19/0.50 Axiom 4 (just6): genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt) = true2.
% 0.19/0.50 Axiom 5 (just10): fresh83(mtvisible(c_worldgeographymt), true2) = geolevel_4(c_georegion_l4_x75_y75).
% 0.19/0.50 Axiom 6 (just12): fresh82(X, X, Y) = true2.
% 0.19/0.50 Axiom 7 (just17): fresh81(X, X, Y) = true2.
% 0.19/0.50 Axiom 8 (just19): fresh80(X, X, Y) = true2.
% 0.19/0.50 Axiom 9 (just23): fresh79(X, X, Y) = true2.
% 0.19/0.50 Axiom 10 (just84): fresh18(X, X, Y) = true2.
% 0.19/0.50 Axiom 11 (just93): fresh8(X, X, Y) = true2.
% 0.19/0.50 Axiom 12 (just12): fresh82(geolevel_4(X), true2, X) = geographicalregion(X).
% 0.19/0.50 Axiom 13 (just17): fresh81(enduringthing_localized(X), true2, X) = spatialthing_nonsituational(X).
% 0.19/0.50 Axiom 14 (just19): fresh80(partiallytangible(X), true2, X) = enduringthing_localized(X).
% 0.19/0.50 Axiom 15 (just23): fresh79(geographicalregion(X), true2, X) = partiallytangible(X).
% 0.19/0.50 Axiom 16 (just84): fresh18(spatialthing_nonsituational(X), true2, X) = inregion(X, X).
% 0.19/0.50 Axiom 17 (just93): fresh9(X, X, Y, Z) = mtvisible(Z).
% 0.19/0.50 Axiom 18 (just93): fresh9(mtvisible(X), true2, X, Y) = fresh8(genlmt(X, Y), true2, Y).
% 0.19/0.50
% 0.19/0.50 Goal 1 (query57_1): inregion(X, c_georegion_l4_x75_y75) = true2.
% 0.19/0.50 The goal is true when:
% 0.19/0.50 X = c_georegion_l4_x75_y75
% 0.19/0.50
% 0.19/0.50 Proof:
% 0.19/0.50 inregion(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75)
% 0.19/0.50 = { by axiom 16 (just84) R->L }
% 0.19/0.50 fresh18(spatialthing_nonsituational(c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75)
% 0.19/0.50 = { by axiom 13 (just17) R->L }
% 0.19/0.50 fresh18(fresh81(enduringthing_localized(c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75)
% 0.19/0.50 = { by axiom 14 (just19) R->L }
% 0.19/0.50 fresh18(fresh81(fresh80(partiallytangible(c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75)
% 0.19/0.50 = { by axiom 15 (just23) R->L }
% 0.19/0.50 fresh18(fresh81(fresh80(fresh79(geographicalregion(c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75)
% 0.19/0.50 = { by axiom 12 (just12) R->L }
% 0.19/0.50 fresh18(fresh81(fresh80(fresh79(fresh82(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), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75)
% 0.19/0.50 = { by axiom 5 (just10) R->L }
% 0.19/0.50 fresh18(fresh81(fresh80(fresh79(fresh82(fresh83(mtvisible(c_worldgeographymt), true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75)
% 0.19/0.50 = { by axiom 17 (just93) R->L }
% 0.19/0.50 fresh18(fresh81(fresh80(fresh79(fresh82(fresh83(fresh9(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), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75)
% 0.19/0.50 = { by axiom 11 (just93) R->L }
% 0.19/0.50 fresh18(fresh81(fresh80(fresh79(fresh82(fresh83(fresh9(fresh8(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), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75)
% 0.19/0.50 = { by axiom 3 (just7) R->L }
% 0.19/0.50 fresh18(fresh81(fresh80(fresh79(fresh82(fresh83(fresh9(fresh8(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), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75)
% 0.19/0.50 = { by axiom 18 (just93) R->L }
% 0.19/0.50 fresh18(fresh81(fresh80(fresh79(fresh82(fresh83(fresh9(fresh9(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), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75)
% 0.19/0.50 = { by axiom 1 (query57) }
% 0.19/0.50 fresh18(fresh81(fresh80(fresh79(fresh82(fresh83(fresh9(fresh9(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), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75)
% 0.19/0.50 = { by axiom 17 (just93) }
% 0.19/0.50 fresh18(fresh81(fresh80(fresh79(fresh82(fresh83(fresh9(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), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75)
% 0.19/0.50 = { by axiom 18 (just93) }
% 0.19/0.50 fresh18(fresh81(fresh80(fresh79(fresh82(fresh83(fresh8(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), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75)
% 0.19/0.50 = { by axiom 4 (just6) }
% 0.19/0.50 fresh18(fresh81(fresh80(fresh79(fresh82(fresh83(fresh8(true2, true2, c_worldgeographymt), true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75)
% 0.19/0.50 = { by axiom 11 (just93) }
% 0.19/0.50 fresh18(fresh81(fresh80(fresh79(fresh82(fresh83(true2, true2), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75)
% 0.19/0.50 = { by axiom 2 (just10) }
% 0.19/0.50 fresh18(fresh81(fresh80(fresh79(fresh82(true2, true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75)
% 0.19/0.50 = { by axiom 6 (just12) }
% 0.19/0.50 fresh18(fresh81(fresh80(fresh79(true2, true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75)
% 0.19/0.50 = { by axiom 9 (just23) }
% 0.19/0.50 fresh18(fresh81(fresh80(true2, true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75)
% 0.19/0.50 = { by axiom 8 (just19) }
% 0.19/0.50 fresh18(fresh81(true2, true2, c_georegion_l4_x75_y75), true2, c_georegion_l4_x75_y75)
% 0.19/0.50 = { by axiom 7 (just17) }
% 0.19/0.50 fresh18(true2, true2, c_georegion_l4_x75_y75)
% 0.19/0.50 = { by axiom 10 (just84) }
% 0.19/0.50 true2
% 0.19/0.50 % SZS output end Proof
% 0.19/0.50
% 0.19/0.50 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------