TSTP Solution File: CSR026+2 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : CSR026+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 : n020.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 21:41:01 EDT 2023
% Result : Theorem 104.09s 13.77s
% Output : Proof 104.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR026+2 : 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 : n020.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 07:21:29 EDT 2023
% 0.12/0.34 % CPUTime :
% 104.09/13.77 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 104.09/13.77
% 104.09/13.77 % SZS status Theorem
% 104.09/13.77
% 104.09/13.78 % SZS output start Proof
% 104.09/13.78 Take the following subset of the input axioms:
% 104.09/13.78 fof(ax1_1123, axiom, ![SPECMT, GENLMT]: ((mtvisible(SPECMT) & genlmt(SPECMT, GENLMT)) => mtvisible(GENLMT))).
% 104.09/13.78 fof(ax1_163, axiom, mtvisible(c_cyclistsmt) => runningshorts(c_tptprunningshorts)).
% 104.09/13.78 fof(ax1_254, axiom, genlmt(c_tptp_spindleheadmt, c_cyclistsmt)).
% 104.09/13.78 fof(ax1_315, axiom, genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt)).
% 104.09/13.78 fof(ax1_344, axiom, genlmt(c_tptp_spindlecollectormt, c_tptp_member2701_mt)).
% 104.09/13.78 fof(ax1_364, axiom, genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt)).
% 104.09/13.78 fof(ax1_440, axiom, ![INS]: ((mtvisible(c_tptp_member2701_mt) & runningshorts(INS)) => tptpofobject(INS, f_tptpquantityfn_2(n_756)))).
% 104.09/13.78 fof(query76, conjecture, mtvisible(c_tptp_spindlecollectormt) => tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756))).
% 104.09/13.78
% 104.09/13.78 Now clausify the problem and encode Horn clauses using encoding 3 of
% 104.09/13.78 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 104.09/13.78 We repeatedly replace C & s=t => u=v by the two clauses:
% 104.09/13.78 fresh(y, y, x1...xn) = u
% 104.09/13.78 C => fresh(s, t, x1...xn) = v
% 104.09/13.78 where fresh is a fresh function symbol and x1..xn are the free
% 104.09/13.78 variables of u and v.
% 104.09/13.78 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 104.09/13.78 input problem has no model of domain size 1).
% 104.09/13.78
% 104.09/13.78 The encoding turns the above axioms into the following unit equations and goals:
% 104.09/13.78
% 104.09/13.78 Axiom 1 (query76): mtvisible(c_tptp_spindlecollectormt) = true2.
% 104.09/13.78 Axiom 2 (ax1_254): genlmt(c_tptp_spindleheadmt, c_cyclistsmt) = true2.
% 104.09/13.78 Axiom 3 (ax1_344): genlmt(c_tptp_spindlecollectormt, c_tptp_member2701_mt) = true2.
% 104.09/13.78 Axiom 4 (ax1_364): genlmt(c_tptp_spindlecollectormt, c_tptp_member3993_mt) = true2.
% 104.09/13.78 Axiom 5 (ax1_315): genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt) = true2.
% 104.09/13.78 Axiom 6 (ax1_163): fresh649(X, X) = true2.
% 104.09/13.78 Axiom 7 (ax1_1123): fresh680(X, X, Y) = true2.
% 104.09/13.78 Axiom 8 (ax1_163): fresh649(mtvisible(c_cyclistsmt), true2) = runningshorts(c_tptprunningshorts).
% 104.09/13.78 Axiom 9 (ax1_440): fresh514(X, X, Y) = tptpofobject(Y, f_tptpquantityfn_2(n_756)).
% 104.09/13.78 Axiom 10 (ax1_440): fresh513(X, X, Y) = true2.
% 104.09/13.78 Axiom 11 (ax1_1123): fresh681(X, X, Y, Z) = mtvisible(Z).
% 104.09/13.78 Axiom 12 (ax1_440): fresh514(runningshorts(X), true2, X) = fresh513(mtvisible(c_tptp_member2701_mt), true2, X).
% 104.09/13.78 Axiom 13 (ax1_1123): fresh681(mtvisible(X), true2, X, Y) = fresh680(genlmt(X, Y), true2, Y).
% 104.09/13.78
% 104.09/13.78 Goal 1 (query76_1): tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756)) = true2.
% 104.09/13.78 Proof:
% 104.09/13.78 tptpofobject(c_tptprunningshorts, f_tptpquantityfn_2(n_756))
% 104.09/13.78 = { by axiom 9 (ax1_440) R->L }
% 104.09/13.78 fresh514(true2, true2, c_tptprunningshorts)
% 104.09/13.78 = { by axiom 6 (ax1_163) R->L }
% 104.09/13.78 fresh514(fresh649(true2, true2), true2, c_tptprunningshorts)
% 104.09/13.78 = { by axiom 7 (ax1_1123) R->L }
% 104.09/13.78 fresh514(fresh649(fresh680(true2, true2, c_cyclistsmt), true2), true2, c_tptprunningshorts)
% 104.09/13.78 = { by axiom 2 (ax1_254) R->L }
% 104.09/13.78 fresh514(fresh649(fresh680(genlmt(c_tptp_spindleheadmt, c_cyclistsmt), true2, c_cyclistsmt), true2), true2, c_tptprunningshorts)
% 104.09/13.78 = { by axiom 13 (ax1_1123) R->L }
% 104.09/13.78 fresh514(fresh649(fresh681(mtvisible(c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_tptprunningshorts)
% 104.09/13.78 = { by axiom 11 (ax1_1123) R->L }
% 104.09/13.78 fresh514(fresh649(fresh681(fresh681(true2, true2, c_tptp_member3993_mt, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_tptprunningshorts)
% 104.09/13.78 = { by axiom 7 (ax1_1123) R->L }
% 104.09/13.78 fresh514(fresh649(fresh681(fresh681(fresh680(true2, true2, c_tptp_member3993_mt), true2, c_tptp_member3993_mt, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_tptprunningshorts)
% 104.09/13.78 = { by axiom 4 (ax1_364) R->L }
% 104.09/13.78 fresh514(fresh649(fresh681(fresh681(fresh680(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_tptprunningshorts)
% 104.09/13.78 = { by axiom 13 (ax1_1123) R->L }
% 104.09/13.78 fresh514(fresh649(fresh681(fresh681(fresh681(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_tptprunningshorts)
% 104.09/13.78 = { by axiom 1 (query76) }
% 104.09/13.78 fresh514(fresh649(fresh681(fresh681(fresh681(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_tptprunningshorts)
% 104.09/13.78 = { by axiom 11 (ax1_1123) }
% 104.09/13.78 fresh514(fresh649(fresh681(fresh681(mtvisible(c_tptp_member3993_mt), true2, c_tptp_member3993_mt, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_tptprunningshorts)
% 104.09/13.78 = { by axiom 13 (ax1_1123) }
% 104.09/13.78 fresh514(fresh649(fresh681(fresh680(genlmt(c_tptp_member3993_mt, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_tptprunningshorts)
% 104.09/13.78 = { by axiom 5 (ax1_315) }
% 104.09/13.78 fresh514(fresh649(fresh681(fresh680(true2, true2, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_tptprunningshorts)
% 104.09/13.78 = { by axiom 7 (ax1_1123) }
% 104.09/13.78 fresh514(fresh649(fresh681(true2, true2, c_tptp_spindleheadmt, c_cyclistsmt), true2), true2, c_tptprunningshorts)
% 104.09/13.78 = { by axiom 11 (ax1_1123) }
% 104.09/13.78 fresh514(fresh649(mtvisible(c_cyclistsmt), true2), true2, c_tptprunningshorts)
% 104.09/13.78 = { by axiom 8 (ax1_163) }
% 104.09/13.78 fresh514(runningshorts(c_tptprunningshorts), true2, c_tptprunningshorts)
% 104.09/13.78 = { by axiom 12 (ax1_440) }
% 104.09/13.78 fresh513(mtvisible(c_tptp_member2701_mt), true2, c_tptprunningshorts)
% 104.09/13.78 = { by axiom 11 (ax1_1123) R->L }
% 104.09/13.78 fresh513(fresh681(true2, true2, c_tptp_spindlecollectormt, c_tptp_member2701_mt), true2, c_tptprunningshorts)
% 104.09/13.78 = { by axiom 1 (query76) R->L }
% 104.09/13.78 fresh513(fresh681(mtvisible(c_tptp_spindlecollectormt), true2, c_tptp_spindlecollectormt, c_tptp_member2701_mt), true2, c_tptprunningshorts)
% 104.09/13.78 = { by axiom 13 (ax1_1123) }
% 104.09/13.78 fresh513(fresh680(genlmt(c_tptp_spindlecollectormt, c_tptp_member2701_mt), true2, c_tptp_member2701_mt), true2, c_tptprunningshorts)
% 104.09/13.78 = { by axiom 3 (ax1_344) }
% 104.09/13.78 fresh513(fresh680(true2, true2, c_tptp_member2701_mt), true2, c_tptprunningshorts)
% 104.09/13.78 = { by axiom 7 (ax1_1123) }
% 104.09/13.78 fresh513(true2, true2, c_tptprunningshorts)
% 104.09/13.78 = { by axiom 10 (ax1_440) }
% 104.09/13.78 true2
% 104.09/13.78 % SZS output end Proof
% 104.09/13.78
% 104.09/13.78 RESULT: Theorem (the conjecture is true).
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