TSTP Solution File: CSR070+1 by Twee---2.4.2
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : CSR070+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 : n007.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 21:41:42 EDT 2023
% Result : Theorem 0.21s 0.50s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR070+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 13:15:28 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.50 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.21/0.50
% 0.21/0.50 % SZS status Theorem
% 0.21/0.50
% 0.21/0.50 % SZS output start Proof
% 0.21/0.50 Take the following subset of the input axioms:
% 0.21/0.50 fof(just10, axiom, ![ARG1, ARG2]: (tptptypes_7_819(ARG1, ARG2) => tptptypes_6_818(ARG1, ARG2))).
% 0.21/0.50 fof(just12, axiom, ![ARG1_2, ARG2_2]: (tptptypes_8_823(ARG1_2, ARG2_2) => tptptypes_7_819(ARG1_2, ARG2_2))).
% 0.21/0.50 fof(just14, axiom, ![ARG1_2, ARG2_2]: (tptptypes_9_824(ARG1_2, ARG2_2) => tptptypes_8_823(ARG1_2, ARG2_2))).
% 0.21/0.50 fof(just16, axiom, genlmt(c_tptp_spindlecollectormt, c_tptp_member2668_mt)).
% 0.21/0.50 fof(just19, axiom, mtvisible(c_tptp_member2668_mt) => tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)).
% 0.21/0.50 fof(just57, axiom, ![SPECMT, GENLMT]: ((mtvisible(SPECMT) & genlmt(SPECMT, GENLMT)) => mtvisible(GENLMT))).
% 0.21/0.50 fof(just8, axiom, ![ARG1_2, ARG2_2]: (tptptypes_6_818(ARG1_2, ARG2_2) => tptptypes_5_802(ARG1_2, ARG2_2))).
% 0.21/0.50 fof(query70, conjecture, mtvisible(c_tptp_spindlecollectormt) => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)).
% 0.21/0.50
% 0.21/0.50 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.21/0.50 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.21/0.50 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.21/0.50 fresh(y, y, x1...xn) = u
% 0.21/0.50 C => fresh(s, t, x1...xn) = v
% 0.21/0.50 where fresh is a fresh function symbol and x1..xn are the free
% 0.21/0.50 variables of u and v.
% 0.21/0.50 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.21/0.50 input problem has no model of domain size 1).
% 0.21/0.50
% 0.21/0.50 The encoding turns the above axioms into the following unit equations and goals:
% 0.21/0.50
% 0.21/0.50 Axiom 1 (query70): mtvisible(c_tptp_spindlecollectormt) = true2.
% 0.21/0.50 Axiom 2 (just16): genlmt(c_tptp_spindlecollectormt, c_tptp_member2668_mt) = true2.
% 0.21/0.50 Axiom 3 (just19): fresh63(X, X) = true2.
% 0.21/0.50 Axiom 4 (just57): fresh26(X, X, Y) = true2.
% 0.21/0.50 Axiom 5 (just8): fresh(X, X, Y, Z) = true2.
% 0.21/0.50 Axiom 6 (just12): fresh66(X, X, Y, Z) = true2.
% 0.21/0.50 Axiom 7 (just10): fresh65(X, X, Y, Z) = true2.
% 0.21/0.50 Axiom 8 (just14): fresh64(X, X, Y, Z) = true2.
% 0.21/0.50 Axiom 9 (just57): fresh27(X, X, Y, Z) = mtvisible(Z).
% 0.21/0.50 Axiom 10 (just19): fresh63(mtvisible(c_tptp_member2668_mt), true2) = tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886).
% 0.21/0.50 Axiom 11 (just57): fresh27(mtvisible(X), true2, X, Y) = fresh26(genlmt(X, Y), true2, Y).
% 0.21/0.50 Axiom 12 (just8): fresh(tptptypes_6_818(X, Y), true2, X, Y) = tptptypes_5_802(X, Y).
% 0.21/0.50 Axiom 13 (just12): fresh66(tptptypes_8_823(X, Y), true2, X, Y) = tptptypes_7_819(X, Y).
% 0.21/0.50 Axiom 14 (just10): fresh65(tptptypes_7_819(X, Y), true2, X, Y) = tptptypes_6_818(X, Y).
% 0.21/0.50 Axiom 15 (just14): fresh64(tptptypes_9_824(X, Y), true2, X, Y) = tptptypes_8_823(X, Y).
% 0.21/0.50
% 0.21/0.50 Goal 1 (query70_1): tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886) = true2.
% 0.21/0.50 Proof:
% 0.21/0.50 tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)
% 0.21/0.50 = { by axiom 12 (just8) R->L }
% 0.21/0.50 fresh(tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)
% 0.21/0.50 = { by axiom 14 (just10) R->L }
% 0.21/0.50 fresh(fresh65(tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)
% 0.21/0.50 = { by axiom 13 (just12) R->L }
% 0.21/0.50 fresh(fresh65(fresh66(tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)
% 0.21/0.50 = { by axiom 15 (just14) R->L }
% 0.21/0.50 fresh(fresh65(fresh66(fresh64(tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)
% 0.21/0.50 = { by axiom 10 (just19) R->L }
% 0.21/0.50 fresh(fresh65(fresh66(fresh64(fresh63(mtvisible(c_tptp_member2668_mt), true2), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)
% 0.21/0.50 = { by axiom 9 (just57) R->L }
% 0.21/0.50 fresh(fresh65(fresh66(fresh64(fresh63(fresh27(true2, true2, c_tptp_spindlecollectormt, c_tptp_member2668_mt), true2), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)
% 0.21/0.50 = { by axiom 1 (query70) R->L }
% 0.21/0.50 fresh(fresh65(fresh66(fresh64(fresh63(fresh27(mtvisible(c_tptp_spindlecollectormt), true2, c_tptp_spindlecollectormt, c_tptp_member2668_mt), true2), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)
% 0.21/0.50 = { by axiom 11 (just57) }
% 0.21/0.50 fresh(fresh65(fresh66(fresh64(fresh63(fresh26(genlmt(c_tptp_spindlecollectormt, c_tptp_member2668_mt), true2, c_tptp_member2668_mt), true2), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)
% 0.21/0.50 = { by axiom 2 (just16) }
% 0.21/0.50 fresh(fresh65(fresh66(fresh64(fresh63(fresh26(true2, true2, c_tptp_member2668_mt), true2), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)
% 0.21/0.50 = { by axiom 4 (just57) }
% 0.21/0.50 fresh(fresh65(fresh66(fresh64(fresh63(true2, true2), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)
% 0.21/0.50 = { by axiom 3 (just19) }
% 0.21/0.50 fresh(fresh65(fresh66(fresh64(true2, true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)
% 0.21/0.50 = { by axiom 8 (just14) }
% 0.21/0.50 fresh(fresh65(fresh66(true2, true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)
% 0.21/0.50 = { by axiom 6 (just12) }
% 0.21/0.50 fresh(fresh65(true2, true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886), true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)
% 0.21/0.50 = { by axiom 7 (just10) }
% 0.21/0.50 fresh(true2, true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)
% 0.21/0.50 = { by axiom 5 (just8) }
% 0.21/0.50 true2
% 0.21/0.50 % SZS output end Proof
% 0.21/0.50
% 0.21/0.50 RESULT: Theorem (the conjecture is true).
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