TSTP Solution File: CSR071+1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : CSR071+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 : n018.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 21:41:43 EDT 2023
% Result : Theorem 0.20s 0.49s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR071+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
% 0.17/0.34 % Computer : n018.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon Aug 28 10:16:46 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.20/0.49 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.20/0.49
% 0.20/0.49 % SZS status Theorem
% 0.20/0.49
% 0.20/0.49 % SZS output start Proof
% 0.20/0.49 Take the following subset of the input axioms:
% 0.20/0.49 fof(just10, axiom, genlmt(c_tptp_spindlecollectormt, c_tptp_member1672_mt)).
% 0.20/0.49 fof(just13, axiom, ![INS]: ((mtvisible(c_tptp_member698_mt) & militaryperson(INS)) => tptpofobject(INS, f_tptpquantityfn_6(n_414)))).
% 0.20/0.49 fof(just15, axiom, mtvisible(c_tptp_member1672_mt) => navypersonnel(c_tptpnavypersonnel_3)).
% 0.20/0.49 fof(just2, axiom, ![OBJ]: (navypersonnel(OBJ) => militaryperson(OBJ))).
% 0.20/0.49 fof(just50, axiom, ![SPECMT, GENLMT]: ((mtvisible(SPECMT) & genlmt(SPECMT, GENLMT)) => mtvisible(GENLMT))).
% 0.20/0.49 fof(just9, axiom, genlmt(c_tptp_spindlecollectormt, c_tptp_member698_mt)).
% 0.20/0.49 fof(query71, conjecture, mtvisible(c_tptp_spindlecollectormt) => tptpofobject(c_tptpnavypersonnel_3, f_tptpquantityfn_6(n_414))).
% 0.20/0.49
% 0.20/0.49 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.20/0.49 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.20/0.49 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.20/0.49 fresh(y, y, x1...xn) = u
% 0.20/0.49 C => fresh(s, t, x1...xn) = v
% 0.20/0.49 where fresh is a fresh function symbol and x1..xn are the free
% 0.20/0.49 variables of u and v.
% 0.20/0.49 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.20/0.49 input problem has no model of domain size 1).
% 0.20/0.49
% 0.20/0.49 The encoding turns the above axioms into the following unit equations and goals:
% 0.20/0.49
% 0.20/0.49 Axiom 1 (query71): mtvisible(c_tptp_spindlecollectormt) = true2.
% 0.20/0.49 Axiom 2 (just9): genlmt(c_tptp_spindlecollectormt, c_tptp_member698_mt) = true2.
% 0.20/0.49 Axiom 3 (just10): genlmt(c_tptp_spindlecollectormt, c_tptp_member1672_mt) = true2.
% 0.20/0.49 Axiom 4 (just15): fresh64(X, X) = true2.
% 0.20/0.49 Axiom 5 (just13): fresh67(X, X, Y) = true2.
% 0.20/0.49 Axiom 6 (just13): fresh66(X, X, Y) = tptpofobject(Y, f_tptpquantityfn_6(n_414)).
% 0.20/0.49 Axiom 7 (just15): fresh64(mtvisible(c_tptp_member1672_mt), true2) = navypersonnel(c_tptpnavypersonnel_3).
% 0.20/0.49 Axiom 8 (just2): fresh59(X, X, Y) = true2.
% 0.20/0.49 Axiom 9 (just50): fresh25(X, X, Y) = true2.
% 0.20/0.49 Axiom 10 (just13): fresh66(mtvisible(c_tptp_member698_mt), true2, X) = fresh67(militaryperson(X), true2, X).
% 0.20/0.49 Axiom 11 (just2): fresh59(navypersonnel(X), true2, X) = militaryperson(X).
% 0.20/0.49 Axiom 12 (just50): fresh26(X, X, Y, Z) = mtvisible(Z).
% 0.20/0.49 Axiom 13 (just50): fresh26(mtvisible(X), true2, X, Y) = fresh25(genlmt(X, Y), true2, Y).
% 0.20/0.49
% 0.20/0.49 Goal 1 (query71_1): tptpofobject(c_tptpnavypersonnel_3, f_tptpquantityfn_6(n_414)) = true2.
% 0.20/0.49 Proof:
% 0.20/0.49 tptpofobject(c_tptpnavypersonnel_3, f_tptpquantityfn_6(n_414))
% 0.20/0.49 = { by axiom 6 (just13) R->L }
% 0.20/0.49 fresh66(true2, true2, c_tptpnavypersonnel_3)
% 0.20/0.49 = { by axiom 9 (just50) R->L }
% 0.20/0.49 fresh66(fresh25(true2, true2, c_tptp_member698_mt), true2, c_tptpnavypersonnel_3)
% 0.20/0.49 = { by axiom 2 (just9) R->L }
% 0.20/0.50 fresh66(fresh25(genlmt(c_tptp_spindlecollectormt, c_tptp_member698_mt), true2, c_tptp_member698_mt), true2, c_tptpnavypersonnel_3)
% 0.20/0.50 = { by axiom 13 (just50) R->L }
% 0.20/0.50 fresh66(fresh26(mtvisible(c_tptp_spindlecollectormt), true2, c_tptp_spindlecollectormt, c_tptp_member698_mt), true2, c_tptpnavypersonnel_3)
% 0.20/0.50 = { by axiom 1 (query71) }
% 0.20/0.50 fresh66(fresh26(true2, true2, c_tptp_spindlecollectormt, c_tptp_member698_mt), true2, c_tptpnavypersonnel_3)
% 0.20/0.50 = { by axiom 12 (just50) }
% 0.20/0.50 fresh66(mtvisible(c_tptp_member698_mt), true2, c_tptpnavypersonnel_3)
% 0.20/0.50 = { by axiom 10 (just13) }
% 0.20/0.50 fresh67(militaryperson(c_tptpnavypersonnel_3), true2, c_tptpnavypersonnel_3)
% 0.20/0.50 = { by axiom 11 (just2) R->L }
% 0.20/0.50 fresh67(fresh59(navypersonnel(c_tptpnavypersonnel_3), true2, c_tptpnavypersonnel_3), true2, c_tptpnavypersonnel_3)
% 0.20/0.50 = { by axiom 7 (just15) R->L }
% 0.20/0.50 fresh67(fresh59(fresh64(mtvisible(c_tptp_member1672_mt), true2), true2, c_tptpnavypersonnel_3), true2, c_tptpnavypersonnel_3)
% 0.20/0.50 = { by axiom 12 (just50) R->L }
% 0.20/0.50 fresh67(fresh59(fresh64(fresh26(true2, true2, c_tptp_spindlecollectormt, c_tptp_member1672_mt), true2), true2, c_tptpnavypersonnel_3), true2, c_tptpnavypersonnel_3)
% 0.20/0.50 = { by axiom 1 (query71) R->L }
% 0.20/0.50 fresh67(fresh59(fresh64(fresh26(mtvisible(c_tptp_spindlecollectormt), true2, c_tptp_spindlecollectormt, c_tptp_member1672_mt), true2), true2, c_tptpnavypersonnel_3), true2, c_tptpnavypersonnel_3)
% 0.20/0.50 = { by axiom 13 (just50) }
% 0.20/0.50 fresh67(fresh59(fresh64(fresh25(genlmt(c_tptp_spindlecollectormt, c_tptp_member1672_mt), true2, c_tptp_member1672_mt), true2), true2, c_tptpnavypersonnel_3), true2, c_tptpnavypersonnel_3)
% 0.20/0.50 = { by axiom 3 (just10) }
% 0.20/0.50 fresh67(fresh59(fresh64(fresh25(true2, true2, c_tptp_member1672_mt), true2), true2, c_tptpnavypersonnel_3), true2, c_tptpnavypersonnel_3)
% 0.20/0.50 = { by axiom 9 (just50) }
% 0.20/0.50 fresh67(fresh59(fresh64(true2, true2), true2, c_tptpnavypersonnel_3), true2, c_tptpnavypersonnel_3)
% 0.20/0.50 = { by axiom 4 (just15) }
% 0.20/0.50 fresh67(fresh59(true2, true2, c_tptpnavypersonnel_3), true2, c_tptpnavypersonnel_3)
% 0.20/0.50 = { by axiom 8 (just2) }
% 0.20/0.50 fresh67(true2, true2, c_tptpnavypersonnel_3)
% 0.20/0.50 = { by axiom 5 (just13) }
% 0.20/0.50 true2
% 0.20/0.50 % SZS output end Proof
% 0.20/0.50
% 0.20/0.50 RESULT: Theorem (the conjecture is true).
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