TSTP Solution File: CSR071+2 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : CSR071+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 : n032.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 35.91s 4.96s
% Output : Proof 35.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : CSR071+2 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.11 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Aug 28 10:54:15 EDT 2023
% 0.11/0.31 % CPUTime :
% 35.91/4.96 Command-line arguments: --kbo-weight0 --lhs-weight 5 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --goal-heuristic
% 35.91/4.96
% 35.91/4.96 % SZS status Theorem
% 35.91/4.96
% 35.91/4.97 % SZS output start Proof
% 35.91/4.97 Take the following subset of the input axioms:
% 35.91/4.97 fof(ax1_1123, axiom, ![SPECMT, GENLMT]: ((mtvisible(SPECMT) & genlmt(SPECMT, GENLMT)) => mtvisible(GENLMT))).
% 35.91/4.97 fof(ax1_284, axiom, ![OBJ]: (navypersonnel(OBJ) => militaryperson(OBJ))).
% 35.91/4.97 fof(ax1_448, axiom, genlmt(c_tptp_spindlecollectormt, c_tptp_member698_mt)).
% 35.91/4.97 fof(ax1_453, axiom, genlmt(c_tptp_spindlecollectormt, c_tptp_member1672_mt)).
% 35.91/4.97 fof(ax1_495, axiom, ![INS]: ((mtvisible(c_tptp_member698_mt) & militaryperson(INS)) => tptpofobject(INS, f_tptpquantityfn_6(n_414)))).
% 35.91/4.97 fof(ax1_91, axiom, mtvisible(c_tptp_member1672_mt) => navypersonnel(c_tptpnavypersonnel_3)).
% 35.91/4.97 fof(query121, conjecture, mtvisible(c_tptp_spindlecollectormt) => tptpofobject(c_tptpnavypersonnel_3, f_tptpquantityfn_6(n_414))).
% 35.91/4.97
% 35.91/4.97 Now clausify the problem and encode Horn clauses using encoding 3 of
% 35.91/4.97 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 35.91/4.97 We repeatedly replace C & s=t => u=v by the two clauses:
% 35.91/4.97 fresh(y, y, x1...xn) = u
% 35.91/4.97 C => fresh(s, t, x1...xn) = v
% 35.91/4.97 where fresh is a fresh function symbol and x1..xn are the free
% 35.91/4.97 variables of u and v.
% 35.91/4.97 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 35.91/4.97 input problem has no model of domain size 1).
% 35.91/4.97
% 35.91/4.97 The encoding turns the above axioms into the following unit equations and goals:
% 35.91/4.97
% 35.91/4.97 Axiom 1 (ax1_448): genlmt(c_tptp_spindlecollectormt, c_tptp_member698_mt) = true2.
% 35.91/4.97 Axiom 2 (ax1_453): genlmt(c_tptp_spindlecollectormt, c_tptp_member1672_mt) = true2.
% 35.91/4.97 Axiom 3 (query121): mtvisible(c_tptp_spindlecollectormt) = true2.
% 35.91/4.97 Axiom 4 (ax1_91): fresh84(X, X) = true2.
% 35.91/4.97 Axiom 5 (ax1_1123): fresh680(X, X, Y) = true2.
% 35.91/4.97 Axiom 6 (ax1_284): fresh591(X, X, Y) = true2.
% 35.91/4.97 Axiom 7 (ax1_495): fresh484(X, X, Y) = tptpofobject(Y, f_tptpquantityfn_6(n_414)).
% 35.91/4.97 Axiom 8 (ax1_495): fresh483(X, X, Y) = true2.
% 35.91/4.97 Axiom 9 (ax1_91): fresh84(mtvisible(c_tptp_member1672_mt), true2) = navypersonnel(c_tptpnavypersonnel_3).
% 35.91/4.97 Axiom 10 (ax1_1123): fresh681(X, X, Y, Z) = mtvisible(Z).
% 35.91/4.97 Axiom 11 (ax1_284): fresh591(navypersonnel(X), true2, X) = militaryperson(X).
% 35.91/4.97 Axiom 12 (ax1_495): fresh484(militaryperson(X), true2, X) = fresh483(mtvisible(c_tptp_member698_mt), true2, X).
% 35.91/4.97 Axiom 13 (ax1_1123): fresh681(mtvisible(X), true2, X, Y) = fresh680(genlmt(X, Y), true2, Y).
% 35.91/4.97
% 35.91/4.97 Goal 1 (query121_1): tptpofobject(c_tptpnavypersonnel_3, f_tptpquantityfn_6(n_414)) = true2.
% 35.91/4.97 Proof:
% 35.91/4.97 tptpofobject(c_tptpnavypersonnel_3, f_tptpquantityfn_6(n_414))
% 35.91/4.97 = { by axiom 7 (ax1_495) R->L }
% 35.91/4.97 fresh484(true2, true2, c_tptpnavypersonnel_3)
% 35.91/4.97 = { by axiom 6 (ax1_284) R->L }
% 35.91/4.97 fresh484(fresh591(true2, true2, c_tptpnavypersonnel_3), true2, c_tptpnavypersonnel_3)
% 35.91/4.97 = { by axiom 4 (ax1_91) R->L }
% 35.91/4.97 fresh484(fresh591(fresh84(true2, true2), true2, c_tptpnavypersonnel_3), true2, c_tptpnavypersonnel_3)
% 35.91/4.97 = { by axiom 5 (ax1_1123) R->L }
% 35.91/4.97 fresh484(fresh591(fresh84(fresh680(true2, true2, c_tptp_member1672_mt), true2), true2, c_tptpnavypersonnel_3), true2, c_tptpnavypersonnel_3)
% 35.91/4.97 = { by axiom 2 (ax1_453) R->L }
% 35.91/4.97 fresh484(fresh591(fresh84(fresh680(genlmt(c_tptp_spindlecollectormt, c_tptp_member1672_mt), true2, c_tptp_member1672_mt), true2), true2, c_tptpnavypersonnel_3), true2, c_tptpnavypersonnel_3)
% 35.91/4.97 = { by axiom 13 (ax1_1123) R->L }
% 35.91/4.97 fresh484(fresh591(fresh84(fresh681(mtvisible(c_tptp_spindlecollectormt), true2, c_tptp_spindlecollectormt, c_tptp_member1672_mt), true2), true2, c_tptpnavypersonnel_3), true2, c_tptpnavypersonnel_3)
% 35.91/4.97 = { by axiom 3 (query121) }
% 35.91/4.97 fresh484(fresh591(fresh84(fresh681(true2, true2, c_tptp_spindlecollectormt, c_tptp_member1672_mt), true2), true2, c_tptpnavypersonnel_3), true2, c_tptpnavypersonnel_3)
% 35.91/4.97 = { by axiom 10 (ax1_1123) }
% 35.91/4.97 fresh484(fresh591(fresh84(mtvisible(c_tptp_member1672_mt), true2), true2, c_tptpnavypersonnel_3), true2, c_tptpnavypersonnel_3)
% 35.91/4.97 = { by axiom 9 (ax1_91) }
% 35.91/4.97 fresh484(fresh591(navypersonnel(c_tptpnavypersonnel_3), true2, c_tptpnavypersonnel_3), true2, c_tptpnavypersonnel_3)
% 35.91/4.97 = { by axiom 11 (ax1_284) }
% 35.91/4.97 fresh484(militaryperson(c_tptpnavypersonnel_3), true2, c_tptpnavypersonnel_3)
% 35.91/4.97 = { by axiom 12 (ax1_495) }
% 35.91/4.97 fresh483(mtvisible(c_tptp_member698_mt), true2, c_tptpnavypersonnel_3)
% 35.91/4.97 = { by axiom 10 (ax1_1123) R->L }
% 35.91/4.97 fresh483(fresh681(true2, true2, c_tptp_spindlecollectormt, c_tptp_member698_mt), true2, c_tptpnavypersonnel_3)
% 35.91/4.97 = { by axiom 3 (query121) R->L }
% 35.91/4.97 fresh483(fresh681(mtvisible(c_tptp_spindlecollectormt), true2, c_tptp_spindlecollectormt, c_tptp_member698_mt), true2, c_tptpnavypersonnel_3)
% 35.91/4.97 = { by axiom 13 (ax1_1123) }
% 35.91/4.97 fresh483(fresh680(genlmt(c_tptp_spindlecollectormt, c_tptp_member698_mt), true2, c_tptp_member698_mt), true2, c_tptpnavypersonnel_3)
% 35.91/4.97 = { by axiom 1 (ax1_448) }
% 35.91/4.97 fresh483(fresh680(true2, true2, c_tptp_member698_mt), true2, c_tptpnavypersonnel_3)
% 35.91/4.97 = { by axiom 5 (ax1_1123) }
% 35.91/4.97 fresh483(true2, true2, c_tptpnavypersonnel_3)
% 35.91/4.97 = { by axiom 8 (ax1_495) }
% 35.91/4.97 true2
% 35.91/4.97 % SZS output end Proof
% 35.91/4.97
% 35.91/4.97 RESULT: Theorem (the conjecture is true).
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