TSTP Solution File: CSR065+1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : CSR065+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 : n015.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 21:41:37 EDT 2023
% Result : Theorem 0.19s 0.43s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR065+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
% 0.12/0.34 % Computer : n015.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 07:43:55 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.43 Command-line arguments: --ground-connectedness --complete-subsets
% 0.19/0.43
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43
% 0.19/0.43 % SZS output start Proof
% 0.19/0.43 Take the following subset of the input axioms:
% 0.19/0.43 fof(just10, axiom, ![INS]: ((mtvisible(c_tptp_member235_mt) & ridgeline_topographical(INS)) => tptpofobject(INS, f_tptpquantityfn_13(n_468)))).
% 0.19/0.43 fof(just48, axiom, ![SPECMT, GENLMT]: ((mtvisible(SPECMT) & genlmt(SPECMT, GENLMT)) => mtvisible(GENLMT))).
% 0.19/0.43 fof(just5, axiom, genlmt(c_tptp_spindleheadmt, c_cyclistsmt)).
% 0.19/0.43 fof(just6, axiom, genlmt(c_tptp_spindlecollectormt, c_tptp_member235_mt)).
% 0.19/0.43 fof(just7, axiom, genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt)).
% 0.19/0.43 fof(just8, axiom, genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt)).
% 0.19/0.43 fof(just9, axiom, mtvisible(c_cyclistsmt) => ridgeline_topographical(c_tptpridgeline_topographical)).
% 0.19/0.43 fof(query65, conjecture, mtvisible(c_tptp_spindlecollectormt) => tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468))).
% 0.19/0.43
% 0.19/0.43 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.19/0.43 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.19/0.43 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.19/0.43 fresh(y, y, x1...xn) = u
% 0.19/0.43 C => fresh(s, t, x1...xn) = v
% 0.19/0.43 where fresh is a fresh function symbol and x1..xn are the free
% 0.19/0.43 variables of u and v.
% 0.19/0.43 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.19/0.43 input problem has no model of domain size 1).
% 0.19/0.43
% 0.19/0.43 The encoding turns the above axioms into the following unit equations and goals:
% 0.19/0.43
% 0.19/0.43 Axiom 1 (query65): mtvisible(c_tptp_spindlecollectormt) = true2.
% 0.19/0.43 Axiom 2 (just9): fresh(X, X) = true2.
% 0.19/0.43 Axiom 3 (just5): genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = true2.
% 0.19/0.43 Axiom 4 (just7): genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt) = true2.
% 0.19/0.43 Axiom 5 (just8): genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt) = true2.
% 0.19/0.43 Axiom 6 (just6): genlmt(c_tptp_spindlecollectormt, c_tptp_member235_mt) = true2.
% 0.19/0.43 Axiom 7 (just9): fresh(mtvisible(c_cyclistsmt), true2) = ridgeline_topographical(c_tptpridgeline_topographical).
% 0.19/0.43 Axiom 8 (just10): fresh52(X, X, Y) = true2.
% 0.19/0.43 Axiom 9 (just48): fresh10(X, X, Y) = true2.
% 0.19/0.43 Axiom 10 (just10): fresh51(X, X, Y) = tptpofobject(Y, f_tptpquantityfn_13(n_468)).
% 0.19/0.43 Axiom 11 (just10): fresh51(ridgeline_topographical(X), true2, X) = fresh52(mtvisible(c_tptp_member235_mt), true2, X).
% 0.19/0.43 Axiom 12 (just48): fresh11(X, X, Y, Z) = mtvisible(Z).
% 0.19/0.43 Axiom 13 (just48): fresh11(mtvisible(X), true2, X, Y) = fresh10(genlmt(X, Y), true2, Y).
% 0.19/0.43
% 0.19/0.43 Goal 1 (query65_1): tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468)) = true2.
% 0.19/0.43 Proof:
% 0.19/0.43 tptpofobject(c_tptpridgeline_topographical, f_tptpquantityfn_13(n_468))
% 0.19/0.43 = { by axiom 10 (just10) R->L }
% 0.19/0.43 fresh51(true2, true2, c_tptpridgeline_topographical)
% 0.19/0.44 = { by axiom 2 (just9) R->L }
% 0.19/0.44 fresh51(fresh(true2, true2), true2, c_tptpridgeline_topographical)
% 0.19/0.44 = { by axiom 9 (just48) R->L }
% 0.19/0.44 fresh51(fresh(fresh10(true2, true2, c_cyclistsmt), true2), true2, c_tptpridgeline_topographical)
% 0.19/0.44 = { by axiom 3 (just5) R->L }
% 0.19/0.44 fresh51(fresh(fresh10(genlmt(c_tptp_spindleheadmt, c_cyclistsmt), true2, c_cyclistsmt), true2), true2, c_tptpridgeline_topographical)
% 0.19/0.44 = { by axiom 13 (just48) R->L }
% 0.19/0.44 fresh51(fresh(fresh11(mtvisible(c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_tptpridgeline_topographical)
% 0.19/0.44 = { by axiom 12 (just48) R->L }
% 0.19/0.44 fresh51(fresh(fresh11(fresh11(true2, true2, c_tptp_member3993_mt, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_tptpridgeline_topographical)
% 0.19/0.44 = { by axiom 9 (just48) R->L }
% 0.19/0.44 fresh51(fresh(fresh11(fresh11(fresh10(true2, true2, c_tptp_member3993_mt), true2, c_tptp_member3993_mt, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_tptpridgeline_topographical)
% 0.19/0.44 = { by axiom 5 (just8) R->L }
% 0.19/0.44 fresh51(fresh(fresh11(fresh11(fresh10(genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt), true2, c_tptp_member3993_mt), true2, c_tptp_member3993_mt, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_tptpridgeline_topographical)
% 0.19/0.44 = { by axiom 13 (just48) R->L }
% 0.19/0.44 fresh51(fresh(fresh11(fresh11(fresh11(mtvisible(c_tptp_spindlecollectormt), true2, c_tptp_spindlecollectormt, c_tptp_member3993_mt), true2, c_tptp_member3993_mt, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_tptpridgeline_topographical)
% 0.19/0.44 = { by axiom 1 (query65) }
% 0.19/0.44 fresh51(fresh(fresh11(fresh11(fresh11(true2, true2, c_tptp_spindlecollectormt, c_tptp_member3993_mt), true2, c_tptp_member3993_mt, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_tptpridgeline_topographical)
% 0.19/0.44 = { by axiom 12 (just48) }
% 0.19/0.44 fresh51(fresh(fresh11(fresh11(mtvisible(c_tptp_member3993_mt), true2, c_tptp_member3993_mt, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_tptpridgeline_topographical)
% 0.19/0.44 = { by axiom 13 (just48) }
% 0.19/0.44 fresh51(fresh(fresh11(fresh10(genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_tptpridgeline_topographical)
% 0.19/0.44 = { by axiom 4 (just7) }
% 0.19/0.44 fresh51(fresh(fresh11(fresh10(true2, true2, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_tptpridgeline_topographical)
% 0.19/0.44 = { by axiom 9 (just48) }
% 0.19/0.44 fresh51(fresh(fresh11(true2, true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_tptpridgeline_topographical)
% 0.19/0.44 = { by axiom 12 (just48) }
% 0.19/0.44 fresh51(fresh(mtvisible(c_cyclistsmt), true2), true2, c_tptpridgeline_topographical)
% 0.19/0.44 = { by axiom 7 (just9) }
% 0.19/0.44 fresh51(ridgeline_topographical(c_tptpridgeline_topographical), true2, c_tptpridgeline_topographical)
% 0.19/0.44 = { by axiom 11 (just10) }
% 0.19/0.44 fresh52(mtvisible(c_tptp_member235_mt), true2, c_tptpridgeline_topographical)
% 0.19/0.44 = { by axiom 12 (just48) R->L }
% 0.19/0.44 fresh52(fresh11(true2, true2, c_tptp_spindlecollectormt, c_tptp_member235_mt), true2, c_tptpridgeline_topographical)
% 0.19/0.44 = { by axiom 1 (query65) R->L }
% 0.19/0.44 fresh52(fresh11(mtvisible(c_tptp_spindlecollectormt), true2, c_tptp_spindlecollectormt, c_tptp_member235_mt), true2, c_tptpridgeline_topographical)
% 0.19/0.44 = { by axiom 13 (just48) }
% 0.19/0.44 fresh52(fresh10(genlmt(c_tptp_spindlecollectormt, c_tptp_member235_mt), true2, c_tptp_member235_mt), true2, c_tptpridgeline_topographical)
% 0.19/0.44 = { by axiom 6 (just6) }
% 0.19/0.44 fresh52(fresh10(true2, true2, c_tptp_member235_mt), true2, c_tptpridgeline_topographical)
% 0.19/0.44 = { by axiom 9 (just48) }
% 0.19/0.44 fresh52(true2, true2, c_tptpridgeline_topographical)
% 0.19/0.44 = { by axiom 8 (just10) }
% 0.19/0.44 true2
% 0.19/0.44 % SZS output end Proof
% 0.19/0.44
% 0.19/0.44 RESULT: Theorem (the conjecture is true).
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