TSTP Solution File: SWB025+2 by ConnectPP---0.2.2
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%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SWB025+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n012.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 Mar 6 09:22:36 EST 2024
% Result : Theorem 7.29s 7.51s
% Output : Proof 7.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB025+2 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Mar 3 23:04:24 EST 2024
% 0.13/0.33 % CPUTime :
% 7.29/7.51 % SZS status Theorem for theBenchmark
% 7.29/7.51 % SZS output start Proof for theBenchmark
% 7.29/7.51
% 7.29/7.51 % Formula: owl_chain_002 ( axiom ) converted to clauses:
% 7.29/7.51 cnf(owl_chain_002-1, axiom, ( ~iext(uri_rdf_first, _u9, _u8) | ~iext(uri_rdf_rest, _u9, _u7) | ~iext(uri_rdf_first, _u7, _u6) | ~iext(uri_rdf_rest, _u7, uri_rdf_nil) | ~iext(uri_owl_propertyChainAxiom, _u10, _u9) | ip(_u10) )).
% 7.29/7.51 cnf(owl_chain_002-2, axiom, ( ~iext(uri_rdf_first, _u9, _u8) | ~iext(uri_rdf_rest, _u9, _u7) | ~iext(uri_rdf_first, _u7, _u6) | ~iext(uri_rdf_rest, _u7, uri_rdf_nil) | ~iext(uri_owl_propertyChainAxiom, _u10, _u9) | ip(_u8) )).
% 7.29/7.51 cnf(owl_chain_002-3, axiom, ( ~iext(uri_rdf_first, _u9, _u8) | ~iext(uri_rdf_rest, _u9, _u7) | ~iext(uri_rdf_first, _u7, _u6) | ~iext(uri_rdf_rest, _u7, uri_rdf_nil) | ~iext(uri_owl_propertyChainAxiom, _u10, _u9) | ip(_u6) )).
% 7.29/7.51 cnf(owl_chain_002-4, axiom, ( ~iext(uri_rdf_first, _u9, _u8) | ~iext(uri_rdf_rest, _u9, _u7) | ~iext(uri_rdf_first, _u7, _u6) | ~iext(uri_rdf_rest, _u7, uri_rdf_nil) | ~iext(uri_owl_propertyChainAxiom, _u10, _u9) | ~iext(_u8, _u2, _u1) | ~iext(_u6, _u1, _u0) | iext(_u10, _u2, _u0) )).
% 7.29/7.51 cnf(owl_chain_002-5, axiom, ( ~iext(uri_rdf_first, _u9, _u8) | ~iext(uri_rdf_rest, _u9, _u7) | ~iext(uri_rdf_first, _u7, _u6) | ~iext(uri_rdf_rest, _u7, uri_rdf_nil) | iext(uri_owl_propertyChainAxiom, _u10, _u9) | ~ip(_u10) | ~ip(_u8) | ~ip(_u6) | iext(_u8, skolem1(_u10, _u9, _u8, _u7, _u6), skolem2(_u10, _u9, _u8, _u7, _u6)) )).
% 7.29/7.51 cnf(owl_chain_002-6, axiom, ( ~iext(uri_rdf_first, _u9, _u8) | ~iext(uri_rdf_rest, _u9, _u7) | ~iext(uri_rdf_first, _u7, _u6) | ~iext(uri_rdf_rest, _u7, uri_rdf_nil) | iext(uri_owl_propertyChainAxiom, _u10, _u9) | ~ip(_u10) | ~ip(_u8) | ~ip(_u6) | iext(_u6, skolem2(_u10, _u9, _u8, _u7, _u6), skolem3(_u10, _u9, _u8, _u7, _u6)) )).
% 7.29/7.51 cnf(owl_chain_002-7, axiom, ( ~iext(uri_rdf_first, _u9, _u8) | ~iext(uri_rdf_rest, _u9, _u7) | ~iext(uri_rdf_first, _u7, _u6) | ~iext(uri_rdf_rest, _u7, uri_rdf_nil) | iext(uri_owl_propertyChainAxiom, _u10, _u9) | ~ip(_u10) | ~ip(_u8) | ~ip(_u6) | ~iext(_u10, skolem1(_u10, _u9, _u8, _u7, _u6), skolem3(_u10, _u9, _u8, _u7, _u6)) )).
% 7.29/7.51
% 7.29/7.51 % Formula: owl_inv ( axiom ) converted to clauses:
% 7.29/7.51 cnf(owl_inv-1, axiom, ( ~iext(uri_owl_inverseOf, _u27, _u25) | ip(_u27) )).
% 7.29/7.51 cnf(owl_inv-2, axiom, ( ~iext(uri_owl_inverseOf, _u27, _u25) | ip(_u25) )).
% 7.29/7.51 cnf(owl_inv-3, axiom, ( ~iext(uri_owl_inverseOf, _u27, _u25) | ~iext(_u27, _u19, _u17) | iext(_u25, _u17, _u19) )).
% 7.29/7.51 cnf(owl_inv-4, axiom, ( ~iext(uri_owl_inverseOf, _u27, _u25) | ~iext(_u25, _u18, _u20) | iext(_u27, _u20, _u18) )).
% 7.29/7.51 cnf(owl_inv-5, axiom, ( iext(uri_owl_inverseOf, _u28, _u26) | ~ip(_u28) | ~ip(_u26) | iext(_u28, skolem4(_u28, _u26), skolem5(_u28, _u26)) | iext(_u26, skolem7(_u28, _u26), skolem6(_u28, _u26)) )).
% 7.29/7.51 cnf(owl_inv-6, axiom, ( iext(uri_owl_inverseOf, _u28, _u26) | ~ip(_u28) | ~ip(_u26) | iext(_u28, skolem4(_u28, _u26), skolem5(_u28, _u26)) | ~iext(_u28, skolem6(_u28, _u26), skolem7(_u28, _u26)) )).
% 7.29/7.51 cnf(owl_inv-7, axiom, ( iext(uri_owl_inverseOf, _u28, _u26) | ~ip(_u28) | ~ip(_u26) | ~iext(_u26, skolem5(_u28, _u26), skolem4(_u28, _u26)) | iext(_u26, skolem7(_u28, _u26), skolem6(_u28, _u26)) )).
% 7.29/7.51 cnf(owl_inv-8, axiom, ( iext(uri_owl_inverseOf, _u28, _u26) | ~ip(_u28) | ~ip(_u26) | ~iext(_u26, skolem5(_u28, _u26), skolem4(_u28, _u26)) | ~iext(_u28, skolem6(_u28, _u26), skolem7(_u28, _u26)) )).
% 7.29/7.51
% 7.29/7.51 % Formula: testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties ( conjecture ) converted to clauses:
% 7.29/7.51 cnf(testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties-1, negated_conjecture, ( ~iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly) | ~iext(uri_ex_hasCousin, uri_ex_bob, uri_ex_alice) )).
% 7.29/7.51
% 7.29/7.51 % Formula: testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties ( axiom ) converted to clauses:
% 7.29/7.51 cnf(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties-1, axiom, ( iext(uri_ex_hasFather, uri_ex_alice, uri_ex_dave) )).
% 7.29/7.51 cnf(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties-2, axiom, ( iext(uri_ex_hasCousin, uri_ex_alice, uri_ex_bob) )).
% 7.29/7.51 cnf(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties-3, axiom, ( iext(uri_ex_hasFather, uri_ex_bob, uri_ex_charly) )).
% 7.29/7.51 cnf(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties-4, axiom, ( iext(uri_ex_hasUncle, uri_ex_bob, uri_ex_dave) )).
% 7.29/7.51 cnf(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties-5, axiom, ( iext(uri_owl_propertyChainAxiom, uri_ex_hasCousin, skolem8) )).
% 7.29/7.51 cnf(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties-6, axiom, ( iext(uri_rdf_first, skolem8, uri_ex_hasUncle) )).
% 7.29/7.51 cnf(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties-7, axiom, ( iext(uri_rdf_rest, skolem8, skolem9) )).
% 7.29/7.51 cnf(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties-8, axiom, ( iext(uri_rdf_rest, skolem9, uri_rdf_nil) )).
% 7.29/7.51 cnf(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties-9, axiom, ( iext(uri_rdf_first, skolem9, skolem10) )).
% 7.29/7.51 cnf(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties-10, axiom, ( iext(uri_owl_inverseOf, skolem10, uri_ex_hasFather) )).
% 7.29/7.51 cnf(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties-11, axiom, ( iext(uri_owl_propertyChainAxiom, uri_ex_hasUncle, skolem11) )).
% 7.29/7.51 cnf(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties-12, axiom, ( iext(uri_rdf_first, skolem11, uri_ex_hasCousin) )).
% 7.29/7.51 cnf(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties-13, axiom, ( iext(uri_rdf_rest, skolem11, skolem12) )).
% 7.29/7.51 cnf(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties-14, axiom, ( iext(uri_rdf_first, skolem12, uri_ex_hasFather) )).
% 7.29/7.51 cnf(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties-15, axiom, ( iext(uri_rdf_rest, skolem12, uri_rdf_nil) )).
% 7.29/7.51
% 7.29/7.51 % Problem matrix:
% 7.29/7.51 cnf(matrix-0, plain, ( ~iext(uri_rdf_first, _u9, _u8) | ~iext(uri_rdf_rest, _u9, _u7) | ~iext(uri_rdf_first, _u7, _u6) | ~iext(uri_rdf_rest, _u7, uri_rdf_nil) | ~iext(uri_owl_propertyChainAxiom, _u10, _u9) | ip(_u10) )).
% 7.29/7.51 cnf(matrix-1, plain, ( ~iext(uri_rdf_first, _u9, _u8) | ~iext(uri_rdf_rest, _u9, _u7) | ~iext(uri_rdf_first, _u7, _u6) | ~iext(uri_rdf_rest, _u7, uri_rdf_nil) | ~iext(uri_owl_propertyChainAxiom, _u10, _u9) | ip(_u8) )).
% 7.29/7.51 cnf(matrix-2, plain, ( ~iext(uri_rdf_first, _u9, _u8) | ~iext(uri_rdf_rest, _u9, _u7) | ~iext(uri_rdf_first, _u7, _u6) | ~iext(uri_rdf_rest, _u7, uri_rdf_nil) | ~iext(uri_owl_propertyChainAxiom, _u10, _u9) | ip(_u6) )).
% 7.29/7.51 cnf(matrix-3, plain, ( ~iext(uri_rdf_first, _u9, _u8) | ~iext(uri_rdf_rest, _u9, _u7) | ~iext(uri_rdf_first, _u7, _u6) | ~iext(uri_rdf_rest, _u7, uri_rdf_nil) | ~iext(uri_owl_propertyChainAxiom, _u10, _u9) | ~iext(_u8, _u2, _u1) | ~iext(_u6, _u1, _u0) | iext(_u10, _u2, _u0) )).
% 7.29/7.51 cnf(matrix-4, plain, ( ~iext(uri_rdf_first, _u9, _u8) | ~iext(uri_rdf_rest, _u9, _u7) | ~iext(uri_rdf_first, _u7, _u6) | ~iext(uri_rdf_rest, _u7, uri_rdf_nil) | iext(uri_owl_propertyChainAxiom, _u10, _u9) | ~ip(_u10) | ~ip(_u8) | ~ip(_u6) | iext(_u8, skolem1(_u10, _u9, _u8, _u7, _u6), skolem2(_u10, _u9, _u8, _u7, _u6)) )).
% 7.29/7.51 cnf(matrix-5, plain, ( ~iext(uri_rdf_first, _u9, _u8) | ~iext(uri_rdf_rest, _u9, _u7) | ~iext(uri_rdf_first, _u7, _u6) | ~iext(uri_rdf_rest, _u7, uri_rdf_nil) | iext(uri_owl_propertyChainAxiom, _u10, _u9) | ~ip(_u10) | ~ip(_u8) | ~ip(_u6) | iext(_u6, skolem2(_u10, _u9, _u8, _u7, _u6), skolem3(_u10, _u9, _u8, _u7, _u6)) )).
% 7.29/7.51 cnf(matrix-6, plain, ( ~iext(uri_rdf_first, _u9, _u8) | ~iext(uri_rdf_rest, _u9, _u7) | ~iext(uri_rdf_first, _u7, _u6) | ~iext(uri_rdf_rest, _u7, uri_rdf_nil) | iext(uri_owl_propertyChainAxiom, _u10, _u9) | ~ip(_u10) | ~ip(_u8) | ~ip(_u6) | ~iext(_u10, skolem1(_u10, _u9, _u8, _u7, _u6), skolem3(_u10, _u9, _u8, _u7, _u6)) )).
% 7.29/7.51 cnf(matrix-7, plain, ( ~iext(uri_owl_inverseOf, _u27, _u25) | ip(_u27) )).
% 7.29/7.51 cnf(matrix-8, plain, ( ~iext(uri_owl_inverseOf, _u27, _u25) | ip(_u25) )).
% 7.29/7.51 cnf(matrix-9, plain, ( ~iext(uri_owl_inverseOf, _u27, _u25) | ~iext(_u27, _u19, _u17) | iext(_u25, _u17, _u19) )).
% 7.29/7.51 cnf(matrix-10, plain, ( ~iext(uri_owl_inverseOf, _u27, _u25) | ~iext(_u25, _u18, _u20) | iext(_u27, _u20, _u18) )).
% 7.29/7.51 cnf(matrix-11, plain, ( iext(uri_owl_inverseOf, _u28, _u26) | ~ip(_u28) | ~ip(_u26) | iext(_u28, skolem4(_u28, _u26), skolem5(_u28, _u26)) | iext(_u26, skolem7(_u28, _u26), skolem6(_u28, _u26)) )).
% 7.29/7.51 cnf(matrix-12, plain, ( iext(uri_owl_inverseOf, _u28, _u26) | ~ip(_u28) | ~ip(_u26) | iext(_u28, skolem4(_u28, _u26), skolem5(_u28, _u26)) | ~iext(_u28, skolem6(_u28, _u26), skolem7(_u28, _u26)) )).
% 7.29/7.51 cnf(matrix-13, plain, ( iext(uri_owl_inverseOf, _u28, _u26) | ~ip(_u28) | ~ip(_u26) | ~iext(_u26, skolem5(_u28, _u26), skolem4(_u28, _u26)) | iext(_u26, skolem7(_u28, _u26), skolem6(_u28, _u26)) )).
% 7.29/7.51 cnf(matrix-14, plain, ( iext(uri_owl_inverseOf, _u28, _u26) | ~ip(_u28) | ~ip(_u26) | ~iext(_u26, skolem5(_u28, _u26), skolem4(_u28, _u26)) | ~iext(_u28, skolem6(_u28, _u26), skolem7(_u28, _u26)) )).
% 7.29/7.51 cnf(matrix-15, plain, ( ~iext(uri_ex_hasUncle, uri_ex_alice, uri_ex_charly) | ~iext(uri_ex_hasCousin, uri_ex_bob, uri_ex_alice) )).
% 7.29/7.51 cnf(matrix-16, plain, ( iext(uri_ex_hasFather, uri_ex_alice, uri_ex_dave) )).
% 7.29/7.51 cnf(matrix-17, plain, ( iext(uri_ex_hasCousin, uri_ex_alice, uri_ex_bob) )).
% 7.29/7.51 cnf(matrix-18, plain, ( iext(uri_ex_hasFather, uri_ex_bob, uri_ex_charly) )).
% 7.29/7.51 cnf(matrix-19, plain, ( iext(uri_ex_hasUncle, uri_ex_bob, uri_ex_dave) )).
% 7.29/7.51 cnf(matrix-20, plain, ( iext(uri_owl_propertyChainAxiom, uri_ex_hasCousin, skolem8) )).
% 7.29/7.51 cnf(matrix-21, plain, ( iext(uri_rdf_first, skolem8, uri_ex_hasUncle) )).
% 7.29/7.51 cnf(matrix-22, plain, ( iext(uri_rdf_rest, skolem8, skolem9) )).
% 7.29/7.51 cnf(matrix-23, plain, ( iext(uri_rdf_rest, skolem9, uri_rdf_nil) )).
% 7.29/7.51 cnf(matrix-24, plain, ( iext(uri_rdf_first, skolem9, skolem10) )).
% 7.29/7.51 cnf(matrix-25, plain, ( iext(uri_owl_inverseOf, skolem10, uri_ex_hasFather) )).
% 7.29/7.51 cnf(matrix-26, plain, ( iext(uri_owl_propertyChainAxiom, uri_ex_hasUncle, skolem11) )).
% 7.29/7.51 cnf(matrix-27, plain, ( iext(uri_rdf_first, skolem11, uri_ex_hasCousin) )).
% 7.29/7.51 cnf(matrix-28, plain, ( iext(uri_rdf_rest, skolem11, skolem12) )).
% 7.29/7.51 cnf(matrix-29, plain, ( iext(uri_rdf_first, skolem12, uri_ex_hasFather) )).
% 7.29/7.51 cnf(matrix-30, plain, ( iext(uri_rdf_rest, skolem12, uri_rdf_nil) )).
% 7.29/7.51
% 7.29/7.51 % Proof stack:
% 7.29/7.51 cnf(proof-stack, plain,
% 7.29/7.51 proof_stack(
% 7.29/7.51 start(15),
% 7.29/7.51 left_branch(0, 3, 7, 2),
% 7.29/7.51 left_branch(0, 27, 0, 3),
% 7.29/7.51 right_branch(3),
% 7.29/7.51 left_branch(0, 18, 0, 4),
% 7.29/7.51 right_branch(4),
% 7.29/7.51 left_branch(0, 17, 0, 5),
% 7.29/7.51 right_branch(5),
% 7.29/7.51 left_branch(0, 26, 0, 6),
% 7.29/7.51 right_branch(6),
% 7.29/7.51 left_branch(0, 30, 0, 7),
% 7.29/7.51 right_branch(7),
% 7.29/7.51 left_branch(0, 29, 0, 8),
% 7.29/7.51 right_branch(8),
% 7.29/7.51 left_branch(0, 28, 0, 9),
% 7.29/7.51 right_branch(9),
% 7.29/7.51 right_branch(2),
% 7.29/7.51 left_branch(0, 3, 7, 3),
% 7.29/7.51 left_branch(0, 21, 0, 4),
% 7.29/7.51 right_branch(4),
% 7.29/7.51 left_branch(0, 10, 2, 5),
% 7.29/7.51 left_branch(0, 25, 0, 6),
% 7.29/7.51 right_branch(6),
% 7.29/7.51 left_branch(0, 16, 0, 7),
% 7.29/7.51 right_branch(7),
% 7.29/7.51 right_branch(5),
% 7.29/7.51 left_branch(0, 19, 0, 6),
% 7.29/7.51 right_branch(6),
% 7.29/7.51 left_branch(0, 20, 0, 7),
% 7.29/7.51 right_branch(7),
% 7.29/7.51 left_branch(0, 23, 0, 8),
% 7.29/7.51 right_branch(8),
% 7.29/7.51 left_branch(0, 24, 0, 9),
% 7.29/7.51 right_branch(9),
% 7.29/7.51 left_branch(0, 22, 0, 10),
% 7.29/7.51 right_branch(10),
% 7.29/7.51 right_branch(3)
% 7.29/7.51 )).
% 7.29/7.51 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------