TSTP Solution File: SWB025+2 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SWB025+2 : TPTP v8.1.2. Released v5.2.0.
% 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 : n023.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 : Thu Aug 31 20:12:56 EDT 2023
% Result : Theorem 0.10s 0.41s
% Output : Proof 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SWB025+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.07 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.07/0.25 % Computer : n023.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 300
% 0.07/0.25 % DateTime : Sun Aug 27 07:21:56 EDT 2023
% 0.07/0.25 % CPUTime :
% 0.10/0.41 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.10/0.41
% 0.10/0.41 % SZS status Theorem
% 0.10/0.41
% 0.10/0.43 % SZS output start Proof
% 0.10/0.43 Take the following subset of the input axioms:
% 0.10/0.44 fof(owl_chain_002, axiom, ![P, S1, P1, S2, P2]: ((iext(uri_rdf_first, S1, P1) & (iext(uri_rdf_rest, S1, S2) & (iext(uri_rdf_first, S2, P2) & iext(uri_rdf_rest, S2, uri_rdf_nil)))) => (iext(uri_owl_propertyChainAxiom, P, S1) <=> (ip(P) & (ip(P1) & (ip(P2) & ![Y0, Y1, Y2]: ((iext(P1, Y0, Y1) & iext(P2, Y1, Y2)) => iext(P, Y0, Y2)))))))).
% 0.10/0.44 fof(owl_inv, axiom, ![P1_2, P2_2]: (iext(uri_owl_inverseOf, P1_2, P2_2) <=> (ip(P1_2) & (ip(P2_2) & ![X, Y]: (iext(P1_2, X, Y) <=> iext(P2_2, Y, X)))))).
% 0.10/0.44 fof(testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties, conjecture, iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly) & iext(uri_ex_hasCousin, uri_ex_bob, uri_ex_alice)).
% 0.10/0.44 fof(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties, axiom, ?[BNODE_l11, BNODE_l12, BNODE_l21, BNODE_l22, BNODE_l3]: (iext(uri_owl_propertyChainAxiom, uri_ex_hasUncle, BNODE_l11) & (iext(uri_rdf_first, BNODE_l11, uri_ex_hasCousin) & (iext(uri_rdf_rest, BNODE_l11, BNODE_l12) & (iext(uri_rdf_first, BNODE_l12, uri_ex_hasFather) & (iext(uri_rdf_rest, BNODE_l12, uri_rdf_nil) & (iext(uri_owl_propertyChainAxiom, uri_ex_hasCousin, BNODE_l21) & (iext(uri_rdf_first, BNODE_l21, uri_ex_hasUncle) & (iext(uri_rdf_rest, BNODE_l21, BNODE_l22) & (iext(uri_rdf_first, BNODE_l22, BNODE_l3) & (iext(uri_rdf_rest, BNODE_l22, uri_rdf_nil) & (iext(uri_owl_inverseOf, BNODE_l3, uri_ex_hasFather) & (iext(uri_ex_hasFather, uri_ex_alice, uri_ex_dave) & (iext(uri_ex_hasCousin, uri_ex_alice, uri_ex_bob) & (iext(uri_ex_hasFather, uri_ex_bob, uri_ex_charly) & iext(uri_ex_hasUncle, uri_ex_bob, uri_ex_dave)))))))))))))))).
% 0.10/0.44
% 0.10/0.44 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.10/0.44 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.10/0.44 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.10/0.44 fresh(y, y, x1...xn) = u
% 0.10/0.44 C => fresh(s, t, x1...xn) = v
% 0.10/0.44 where fresh is a fresh function symbol and x1..xn are the free
% 0.10/0.44 variables of u and v.
% 0.10/0.44 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.10/0.44 input problem has no model of domain size 1).
% 0.10/0.44
% 0.10/0.44 The encoding turns the above axioms into the following unit equations and goals:
% 0.10/0.44
% 0.10/0.44 Axiom 1 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties): iext(uri_rdf_first, bnode_l12, uri_ex_hasFather) = true.
% 0.10/0.44 Axiom 2 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_1): iext(uri_rdf_first, bnode_l11, uri_ex_hasCousin) = true.
% 0.10/0.44 Axiom 3 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_2): iext(uri_rdf_first, bnode_l22, bnode_l3) = true.
% 0.10/0.44 Axiom 4 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_3): iext(uri_rdf_first, bnode_l21, uri_ex_hasUncle) = true.
% 0.10/0.44 Axiom 5 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_4): iext(uri_rdf_rest, bnode_l12, uri_rdf_nil) = true.
% 0.10/0.44 Axiom 6 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_5): iext(uri_rdf_rest, bnode_l11, bnode_l12) = true.
% 0.10/0.44 Axiom 7 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_6): iext(uri_rdf_rest, bnode_l22, uri_rdf_nil) = true.
% 0.10/0.44 Axiom 8 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_7): iext(uri_rdf_rest, bnode_l21, bnode_l22) = true.
% 0.10/0.44 Axiom 9 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_8): iext(uri_owl_propertyChainAxiom, uri_ex_hasUncle, bnode_l11) = true.
% 0.10/0.44 Axiom 10 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_9): iext(uri_owl_propertyChainAxiom, uri_ex_hasCousin, bnode_l21) = true.
% 0.10/0.44 Axiom 11 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_10): iext(uri_owl_inverseOf, bnode_l3, uri_ex_hasFather) = true.
% 0.10/0.44 Axiom 12 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_11): iext(uri_ex_hasUncle, uri_ex_bob, uri_ex_dave) = true.
% 0.10/0.44 Axiom 13 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_12): iext(uri_ex_hasCousin, uri_ex_alice, uri_ex_bob) = true.
% 0.10/0.44 Axiom 14 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_13): iext(uri_ex_hasFather, uri_ex_alice, uri_ex_dave) = true.
% 0.10/0.44 Axiom 15 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_14): iext(uri_ex_hasFather, uri_ex_bob, uri_ex_charly) = true.
% 0.10/0.44 Axiom 16 (owl_chain_002_1): fresh25(X, X, Y, Z, W) = true.
% 0.10/0.44 Axiom 17 (owl_inv_2): fresh3(X, X, Y, Z, W) = true.
% 0.10/0.44 Axiom 18 (owl_inv_2): fresh4(X, X, Y, Z, W, V) = iext(Y, W, V).
% 0.10/0.44 Axiom 19 (owl_chain_002_1): fresh23(X, X, Y, Z, W, V, U) = iext(Y, W, U).
% 0.10/0.44 Axiom 20 (owl_chain_002_1): fresh24(X, X, Y, Z, W, V, U, T) = fresh25(iext(Z, V, U), true, Y, V, T).
% 0.10/0.44 Axiom 21 (owl_inv_2): fresh4(iext(uri_owl_inverseOf, X, Y), true, X, Y, Z, W) = fresh3(iext(Y, W, Z), true, X, Z, W).
% 0.10/0.44 Axiom 22 (owl_chain_002_1): fresh22(X, X, Y, Z, W, V, U, T, S) = fresh23(iext(V, T, S), true, Y, W, U, T, S).
% 0.10/0.44 Axiom 23 (owl_chain_002_1): fresh21(X, X, Y, Z, W, V, U, T, S, X2) = fresh24(iext(uri_rdf_first, Z, W), true, Y, W, U, T, S, X2).
% 0.10/0.44 Axiom 24 (owl_chain_002_1): fresh20(X, X, Y, Z, W, V, U, T, S, X2) = fresh22(iext(uri_rdf_first, V, U), true, Y, Z, W, U, T, S, X2).
% 0.10/0.44 Axiom 25 (owl_chain_002_1): fresh19(X, X, Y, Z, W, V, U, T, S, X2) = fresh21(iext(uri_rdf_rest, Z, V), true, Y, Z, W, V, U, T, S, X2).
% 0.10/0.44 Axiom 26 (owl_chain_002_1): fresh19(iext(uri_owl_propertyChainAxiom, X, Y), true, X, Y, Z, W, V, U, T, S) = fresh20(iext(uri_rdf_rest, W, uri_rdf_nil), true, X, Y, Z, W, V, U, T, S).
% 0.10/0.44
% 0.10/0.44 Goal 1 (testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties): tuple(iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), iext(uri_ex_hasCousin, uri_ex_bob, uri_ex_alice)) = tuple(true, true).
% 0.10/0.44 Proof:
% 0.10/0.44 tuple(iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), iext(uri_ex_hasCousin, uri_ex_bob, uri_ex_alice))
% 0.10/0.44 = { by axiom 19 (owl_chain_002_1) R->L }
% 0.10/0.44 tuple(iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), fresh23(true, true, uri_ex_hasCousin, uri_ex_hasUncle, uri_ex_bob, uri_ex_dave, uri_ex_alice))
% 0.10/0.44 = { by axiom 17 (owl_inv_2) R->L }
% 0.10/0.44 tuple(iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), fresh23(fresh3(true, true, bnode_l3, uri_ex_dave, uri_ex_alice), true, uri_ex_hasCousin, uri_ex_hasUncle, uri_ex_bob, uri_ex_dave, uri_ex_alice))
% 0.10/0.44 = { by axiom 14 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_13) R->L }
% 0.10/0.44 tuple(iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), fresh23(fresh3(iext(uri_ex_hasFather, uri_ex_alice, uri_ex_dave), true, bnode_l3, uri_ex_dave, uri_ex_alice), true, uri_ex_hasCousin, uri_ex_hasUncle, uri_ex_bob, uri_ex_dave, uri_ex_alice))
% 0.10/0.44 = { by axiom 21 (owl_inv_2) R->L }
% 0.10/0.44 tuple(iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), fresh23(fresh4(iext(uri_owl_inverseOf, bnode_l3, uri_ex_hasFather), true, bnode_l3, uri_ex_hasFather, uri_ex_dave, uri_ex_alice), true, uri_ex_hasCousin, uri_ex_hasUncle, uri_ex_bob, uri_ex_dave, uri_ex_alice))
% 0.10/0.44 = { by axiom 11 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_10) }
% 0.10/0.44 tuple(iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), fresh23(fresh4(true, true, bnode_l3, uri_ex_hasFather, uri_ex_dave, uri_ex_alice), true, uri_ex_hasCousin, uri_ex_hasUncle, uri_ex_bob, uri_ex_dave, uri_ex_alice))
% 0.10/0.44 = { by axiom 18 (owl_inv_2) }
% 0.10/0.44 tuple(iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), fresh23(iext(bnode_l3, uri_ex_dave, uri_ex_alice), true, uri_ex_hasCousin, uri_ex_hasUncle, uri_ex_bob, uri_ex_dave, uri_ex_alice))
% 0.10/0.44 = { by axiom 22 (owl_chain_002_1) R->L }
% 0.10/0.44 tuple(iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), fresh22(true, true, uri_ex_hasCousin, bnode_l21, uri_ex_hasUncle, bnode_l3, uri_ex_bob, uri_ex_dave, uri_ex_alice))
% 0.10/0.44 = { by axiom 3 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_2) R->L }
% 0.10/0.44 tuple(iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), fresh22(iext(uri_rdf_first, bnode_l22, bnode_l3), true, uri_ex_hasCousin, bnode_l21, uri_ex_hasUncle, bnode_l3, uri_ex_bob, uri_ex_dave, uri_ex_alice))
% 0.10/0.44 = { by axiom 24 (owl_chain_002_1) R->L }
% 0.10/0.44 tuple(iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), fresh20(true, true, uri_ex_hasCousin, bnode_l21, uri_ex_hasUncle, bnode_l22, bnode_l3, uri_ex_bob, uri_ex_dave, uri_ex_alice))
% 0.10/0.44 = { by axiom 7 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_6) R->L }
% 0.10/0.44 tuple(iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), fresh20(iext(uri_rdf_rest, bnode_l22, uri_rdf_nil), true, uri_ex_hasCousin, bnode_l21, uri_ex_hasUncle, bnode_l22, bnode_l3, uri_ex_bob, uri_ex_dave, uri_ex_alice))
% 0.10/0.44 = { by axiom 26 (owl_chain_002_1) R->L }
% 0.10/0.44 tuple(iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), fresh19(iext(uri_owl_propertyChainAxiom, uri_ex_hasCousin, bnode_l21), true, uri_ex_hasCousin, bnode_l21, uri_ex_hasUncle, bnode_l22, bnode_l3, uri_ex_bob, uri_ex_dave, uri_ex_alice))
% 0.10/0.44 = { by axiom 10 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_9) }
% 0.10/0.44 tuple(iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), fresh19(true, true, uri_ex_hasCousin, bnode_l21, uri_ex_hasUncle, bnode_l22, bnode_l3, uri_ex_bob, uri_ex_dave, uri_ex_alice))
% 0.10/0.44 = { by axiom 25 (owl_chain_002_1) }
% 0.10/0.44 tuple(iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), fresh21(iext(uri_rdf_rest, bnode_l21, bnode_l22), true, uri_ex_hasCousin, bnode_l21, uri_ex_hasUncle, bnode_l22, bnode_l3, uri_ex_bob, uri_ex_dave, uri_ex_alice))
% 0.10/0.44 = { by axiom 8 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_7) }
% 0.10/0.44 tuple(iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), fresh21(true, true, uri_ex_hasCousin, bnode_l21, uri_ex_hasUncle, bnode_l22, bnode_l3, uri_ex_bob, uri_ex_dave, uri_ex_alice))
% 0.10/0.44 = { by axiom 23 (owl_chain_002_1) }
% 0.10/0.44 tuple(iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), fresh24(iext(uri_rdf_first, bnode_l21, uri_ex_hasUncle), true, uri_ex_hasCousin, uri_ex_hasUncle, bnode_l3, uri_ex_bob, uri_ex_dave, uri_ex_alice))
% 0.10/0.44 = { by axiom 4 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_3) }
% 0.10/0.44 tuple(iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), fresh24(true, true, uri_ex_hasCousin, uri_ex_hasUncle, bnode_l3, uri_ex_bob, uri_ex_dave, uri_ex_alice))
% 0.10/0.44 = { by axiom 20 (owl_chain_002_1) }
% 0.10/0.44 tuple(iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), fresh25(iext(uri_ex_hasUncle, uri_ex_bob, uri_ex_dave), true, uri_ex_hasCousin, uri_ex_bob, uri_ex_alice))
% 0.10/0.44 = { by axiom 12 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_11) }
% 0.10/0.44 tuple(iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), fresh25(true, true, uri_ex_hasCousin, uri_ex_bob, uri_ex_alice))
% 0.10/0.44 = { by axiom 16 (owl_chain_002_1) }
% 0.10/0.44 tuple(iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), true)
% 0.10/0.44 = { by axiom 19 (owl_chain_002_1) R->L }
% 0.10/0.44 tuple(fresh23(true, true, uri_ex_hasUncle, uri_ex_hasCousin, uri_ex_alice, uri_ex_bob, uri_ex_charly), true)
% 0.10/0.44 = { by axiom 15 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_14) R->L }
% 0.10/0.44 tuple(fresh23(iext(uri_ex_hasFather, uri_ex_bob, uri_ex_charly), true, uri_ex_hasUncle, uri_ex_hasCousin, uri_ex_alice, uri_ex_bob, uri_ex_charly), true)
% 0.10/0.44 = { by axiom 22 (owl_chain_002_1) R->L }
% 0.10/0.44 tuple(fresh22(true, true, uri_ex_hasUncle, bnode_l11, uri_ex_hasCousin, uri_ex_hasFather, uri_ex_alice, uri_ex_bob, uri_ex_charly), true)
% 0.10/0.44 = { by axiom 1 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties) R->L }
% 0.10/0.44 tuple(fresh22(iext(uri_rdf_first, bnode_l12, uri_ex_hasFather), true, uri_ex_hasUncle, bnode_l11, uri_ex_hasCousin, uri_ex_hasFather, uri_ex_alice, uri_ex_bob, uri_ex_charly), true)
% 0.10/0.44 = { by axiom 24 (owl_chain_002_1) R->L }
% 0.10/0.44 tuple(fresh20(true, true, uri_ex_hasUncle, bnode_l11, uri_ex_hasCousin, bnode_l12, uri_ex_hasFather, uri_ex_alice, uri_ex_bob, uri_ex_charly), true)
% 0.10/0.44 = { by axiom 5 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_4) R->L }
% 0.10/0.44 tuple(fresh20(iext(uri_rdf_rest, bnode_l12, uri_rdf_nil), true, uri_ex_hasUncle, bnode_l11, uri_ex_hasCousin, bnode_l12, uri_ex_hasFather, uri_ex_alice, uri_ex_bob, uri_ex_charly), true)
% 0.10/0.44 = { by axiom 26 (owl_chain_002_1) R->L }
% 0.10/0.44 tuple(fresh19(iext(uri_owl_propertyChainAxiom, uri_ex_hasUncle, bnode_l11), true, uri_ex_hasUncle, bnode_l11, uri_ex_hasCousin, bnode_l12, uri_ex_hasFather, uri_ex_alice, uri_ex_bob, uri_ex_charly), true)
% 0.10/0.44 = { by axiom 9 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_8) }
% 0.10/0.45 tuple(fresh19(true, true, uri_ex_hasUncle, bnode_l11, uri_ex_hasCousin, bnode_l12, uri_ex_hasFather, uri_ex_alice, uri_ex_bob, uri_ex_charly), true)
% 0.10/0.45 = { by axiom 25 (owl_chain_002_1) }
% 0.10/0.45 tuple(fresh21(iext(uri_rdf_rest, bnode_l11, bnode_l12), true, uri_ex_hasUncle, bnode_l11, uri_ex_hasCousin, bnode_l12, uri_ex_hasFather, uri_ex_alice, uri_ex_bob, uri_ex_charly), true)
% 0.10/0.45 = { by axiom 6 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_5) }
% 0.10/0.45 tuple(fresh21(true, true, uri_ex_hasUncle, bnode_l11, uri_ex_hasCousin, bnode_l12, uri_ex_hasFather, uri_ex_alice, uri_ex_bob, uri_ex_charly), true)
% 0.10/0.45 = { by axiom 23 (owl_chain_002_1) }
% 0.10/0.45 tuple(fresh24(iext(uri_rdf_first, bnode_l11, uri_ex_hasCousin), true, uri_ex_hasUncle, uri_ex_hasCousin, uri_ex_hasFather, uri_ex_alice, uri_ex_bob, uri_ex_charly), true)
% 0.10/0.45 = { by axiom 2 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_1) }
% 0.10/0.45 tuple(fresh24(true, true, uri_ex_hasUncle, uri_ex_hasCousin, uri_ex_hasFather, uri_ex_alice, uri_ex_bob, uri_ex_charly), true)
% 0.10/0.45 = { by axiom 20 (owl_chain_002_1) }
% 0.10/0.45 tuple(fresh25(iext(uri_ex_hasCousin, uri_ex_alice, uri_ex_bob), true, uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), true)
% 0.10/0.45 = { by axiom 13 (testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties_12) }
% 0.10/0.45 tuple(fresh25(true, true, uri_ex_hasUncle, uri_ex_alice, uri_ex_charly), true)
% 0.10/0.45 = { by axiom 16 (owl_chain_002_1) }
% 0.10/0.45 tuple(true, true)
% 0.10/0.45 % SZS output end Proof
% 0.10/0.45
% 0.10/0.45 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------