TSTP Solution File: CSR070+2 by Twee---2.4.2
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : CSR070+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 : n017.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 133.58s 17.44s
% Output : Proof 134.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : CSR070+2 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.12 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 07:22:57 EDT 2023
% 0.12/0.33 % CPUTime :
% 133.58/17.44 Command-line arguments: --ground-connectedness --complete-subsets
% 133.58/17.44
% 133.58/17.44 % SZS status Theorem
% 133.58/17.44
% 133.58/17.44 % SZS output start Proof
% 133.58/17.44 Take the following subset of the input axioms:
% 133.58/17.44 fof(ax1_1123, axiom, ![SPECMT, GENLMT]: ((mtvisible(SPECMT) & genlmt(SPECMT, GENLMT)) => mtvisible(GENLMT))).
% 133.58/17.44 fof(ax1_139, axiom, ![ARG1, ARG2]: (tptptypes_7_819(ARG1, ARG2) => tptptypes_6_818(ARG1, ARG2))).
% 133.58/17.44 fof(ax1_178, axiom, mtvisible(c_tptp_member2668_mt) => tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)).
% 133.58/17.44 fof(ax1_271, axiom, ![ARG1_2, ARG2_2]: (tptptypes_8_823(ARG1_2, ARG2_2) => tptptypes_7_819(ARG1_2, ARG2_2))).
% 133.58/17.44 fof(ax1_350, axiom, genlmt(c_tptp_spindlecollectormt, c_tptp_member2668_mt)).
% 133.58/17.44 fof(ax1_416, axiom, ![ARG1_2, ARG2_2]: (tptptypes_6_818(ARG1_2, ARG2_2) => tptptypes_5_802(ARG1_2, ARG2_2))).
% 133.58/17.44 fof(ax1_427, axiom, ![ARG1_2, ARG2_2]: (tptptypes_9_824(ARG1_2, ARG2_2) => tptptypes_8_823(ARG1_2, ARG2_2))).
% 133.58/17.44 fof(query120, conjecture, mtvisible(c_tptp_spindlecollectormt) => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)).
% 133.58/17.44
% 133.58/17.44 Now clausify the problem and encode Horn clauses using encoding 3 of
% 133.58/17.44 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 134.29/17.44 We repeatedly replace C & s=t => u=v by the two clauses:
% 134.29/17.44 fresh(y, y, x1...xn) = u
% 134.29/17.44 C => fresh(s, t, x1...xn) = v
% 134.29/17.44 where fresh is a fresh function symbol and x1..xn are the free
% 134.29/17.44 variables of u and v.
% 134.29/17.44 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 134.29/17.44 input problem has no model of domain size 1).
% 134.29/17.44
% 134.29/17.44 The encoding turns the above axioms into the following unit equations and goals:
% 134.29/17.44
% 134.29/17.44 Axiom 1 (query120): mtvisible(c_tptp_spindlecollectormt) = true2.
% 134.29/17.44 Axiom 2 (ax1_178): fresh642(X, X) = true2.
% 134.29/17.44 Axiom 3 (ax1_350): genlmt(c_tptp_spindlecollectormt, c_tptp_member2668_mt) = true2.
% 134.29/17.44 Axiom 4 (ax1_1123): fresh680(X, X, Y) = true2.
% 134.29/17.44 Axiom 5 (ax1_1123): fresh681(X, X, Y, Z) = mtvisible(Z).
% 134.29/17.44 Axiom 6 (ax1_139): fresh660(X, X, Y, Z) = true2.
% 134.29/17.44 Axiom 7 (ax1_271): fresh596(X, X, Y, Z) = true2.
% 134.29/17.44 Axiom 8 (ax1_416): fresh527(X, X, Y, Z) = true2.
% 134.29/17.44 Axiom 9 (ax1_427): fresh521(X, X, Y, Z) = true2.
% 134.29/17.44 Axiom 10 (ax1_1123): fresh681(mtvisible(X), true2, X, Y) = fresh680(genlmt(X, Y), true2, Y).
% 134.29/17.44 Axiom 11 (ax1_178): fresh642(mtvisible(c_tptp_member2668_mt), true2) = tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886).
% 134.29/17.44 Axiom 12 (ax1_139): fresh660(tptptypes_7_819(X, Y), true2, X, Y) = tptptypes_6_818(X, Y).
% 134.29/17.44 Axiom 13 (ax1_271): fresh596(tptptypes_8_823(X, Y), true2, X, Y) = tptptypes_7_819(X, Y).
% 134.29/17.44 Axiom 14 (ax1_416): fresh527(tptptypes_6_818(X, Y), true2, X, Y) = tptptypes_5_802(X, Y).
% 134.29/17.44 Axiom 15 (ax1_427): fresh521(tptptypes_9_824(X, Y), true2, X, Y) = tptptypes_8_823(X, Y).
% 134.29/17.44
% 134.29/17.44 Goal 1 (query120_1): tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886) = true2.
% 134.29/17.44 Proof:
% 134.29/17.44 tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)
% 134.29/17.44 = { by axiom 14 (ax1_416) R->L }
% 134.29/17.44 fresh527(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)
% 134.29/17.44 = { by axiom 12 (ax1_139) R->L }
% 134.29/17.44 fresh527(fresh660(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)
% 134.29/17.44 = { by axiom 13 (ax1_271) R->L }
% 134.29/17.44 fresh527(fresh660(fresh596(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)
% 134.29/17.44 = { by axiom 15 (ax1_427) R->L }
% 134.29/17.45 fresh527(fresh660(fresh596(fresh521(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)
% 134.29/17.45 = { by axiom 11 (ax1_178) R->L }
% 134.29/17.45 fresh527(fresh660(fresh596(fresh521(fresh642(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)
% 134.29/17.45 = { by axiom 5 (ax1_1123) R->L }
% 134.29/17.45 fresh527(fresh660(fresh596(fresh521(fresh642(fresh681(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)
% 134.29/17.45 = { by axiom 1 (query120) R->L }
% 134.29/17.45 fresh527(fresh660(fresh596(fresh521(fresh642(fresh681(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)
% 134.29/17.45 = { by axiom 10 (ax1_1123) }
% 134.29/17.45 fresh527(fresh660(fresh596(fresh521(fresh642(fresh680(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)
% 134.29/17.45 = { by axiom 3 (ax1_350) }
% 134.29/17.45 fresh527(fresh660(fresh596(fresh521(fresh642(fresh680(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)
% 134.29/17.45 = { by axiom 4 (ax1_1123) }
% 134.29/17.45 fresh527(fresh660(fresh596(fresh521(fresh642(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)
% 134.29/17.45 = { by axiom 2 (ax1_178) }
% 134.29/17.45 fresh527(fresh660(fresh596(fresh521(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)
% 134.29/17.45 = { by axiom 9 (ax1_427) }
% 134.29/17.45 fresh527(fresh660(fresh596(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)
% 134.29/17.45 = { by axiom 7 (ax1_271) }
% 134.29/17.45 fresh527(fresh660(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)
% 134.29/17.45 = { by axiom 6 (ax1_139) }
% 134.29/17.45 fresh527(true2, true2, f_subcollectionofwithrelationfromtypefn(c_orientationvector, c_orientation, c_partiallytangible), c_tptpcol_16_8886)
% 134.29/17.45 = { by axiom 8 (ax1_416) }
% 134.29/17.45 true2
% 134.29/17.45 % SZS output end Proof
% 134.29/17.45
% 134.29/17.45 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------