0.02/0.08 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.09 % Command : do_cvc5 %s %d 0.08/0.27 % Computer : n008.cluster.edu 0.08/0.27 % Model : x86_64 x86_64 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.27 % Memory : 8042.1875MB 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64 0.08/0.27 % CPULimit : 1200 0.08/0.27 % WCLimit : 120 0.08/0.27 % DateTime : Tue Jul 13 13:06:59 EDT 2021 0.08/0.28 % CPUTime : 0.12/0.38 %----FOF division 0.12/0.38 ------- cvc5-fof casc 28 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 120... 0.12/0.38 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 10... 10.42/10.65 --- Run --no-e-matching --full-saturate-quant at 5... 13.88/14.11 % SZS status Theorem for theBenchmark 13.88/14.12 % SZS output start Proof for theBenchmark 13.88/14.12 (proof 13.88/14.12 (let ((_let_1 (forall ((Z $$unsorted) (C $$unsorted)) (=> (iext uri_owl_complementOf Z C) (and (ic Z) (ic C) (forall ((X $$unsorted)) (= (icext Z X) (not (icext C X))))))))) (let ((_let_2 (forall ((C1 $$unsorted) (C2 $$unsorted)) (= (and (ic C2) (forall ((X $$unsorted)) (not (and (icext C2 X) (icext C1 X)))) (ic C1)) (iext uri_owl_disjointWith C1 C2))))) (let ((_let_3 (forall ((C1 $$unsorted) (C2 $$unsorted)) (= (iext uri_rdfs_subClassOf C1 C2) (and (forall ((X $$unsorted)) (=> (icext C1 X) (icext C2 X))) (ic C2) (ic C1)))))) (let ((_let_4 (forall ((Z $$unsorted) (S1 $$unsorted) (C1 $$unsorted) (S2 $$unsorted) (C2 $$unsorted) (S3 $$unsorted) (C3 $$unsorted)) (=> (and (iext uri_rdf_first S1 C1) (iext uri_rdf_rest S1 S2) (iext uri_rdf_first S2 C2) (iext uri_rdf_rest S2 S3) (iext uri_rdf_rest S3 uri_rdf_nil) (iext uri_rdf_first S3 C3)) (= (and (ic Z) (forall ((X $$unsorted)) (= (or (icext C3 X) (icext C2 X) (icext C1 X)) (icext Z X))) (ic C3) (ic C2) (ic C1)) (iext uri_owl_unionOf Z S1)))))) (let ((_let_5 (exists ((BNODE_xs $$unsorted) (BNODE_xc $$unsorted) (BNODE_lu1 $$unsorted) (BNODE_lu2 $$unsorted) (BNODE_lu3 $$unsorted) (BNODE_li1 $$unsorted) (BNODE_li2 $$unsorted)) (and (iext uri_rdf_rest BNODE_lu1 BNODE_lu2) (iext uri_rdf_rest BNODE_lu2 BNODE_lu3) (iext uri_rdf_first BNODE_lu3 uri_ex_c3) (iext uri_rdf_rest BNODE_lu3 uri_rdf_nil) (iext uri_rdfs_subClassOf uri_ex_d BNODE_xs) (iext uri_owl_intersectionOf BNODE_xs BNODE_li1) (iext uri_rdf_first BNODE_li1 uri_ex_c) (iext uri_rdf_rest BNODE_li1 BNODE_li2) (iext uri_rdf_first BNODE_li2 BNODE_xc) (iext uri_rdf_rest BNODE_li2 uri_rdf_nil) (iext uri_owl_complementOf BNODE_xc uri_ex_c2) (iext uri_owl_disjointWith uri_ex_d uri_ex_c1) (iext uri_rdf_first BNODE_lu2 uri_ex_c2) (iext uri_rdf_first BNODE_lu1 uri_ex_c1) (iext uri_owl_unionOf uri_ex_c BNODE_lu1))))) (let ((_let_6 (forall ((Z $$unsorted) (S1 $$unsorted) (C1 $$unsorted) (S2 $$unsorted) (C2 $$unsorted)) (=> (and (iext uri_rdf_first S1 C1) (iext uri_rdf_rest S2 uri_rdf_nil) (iext uri_rdf_first S2 C2) (iext uri_rdf_rest S1 S2)) (= (iext uri_owl_intersectionOf Z S1) (and (ic Z) (ic C1) (ic C2) (forall ((X $$unsorted)) (= (and (icext C1 X) (icext C2 X)) (icext Z X))))))))) (let ((_let_7 (iext uri_rdfs_subClassOf uri_ex_d uri_ex_c3))) (let ((_let_8 (not _let_7))) (let ((_let_9 (iext uri_owl_complementOf skv_7 uri_ex_c2))) (let ((_let_10 (icext uri_ex_c2 skv_9))) (let ((_let_11 (not _let_10))) (let ((_let_12 (icext skv_7 skv_9))) (let ((_let_13 (= _let_12 _let_11))) (let ((_let_14 (ic uri_ex_c2))) (let ((_let_15 (ic skv_7))) (let ((_let_16 (and _let_15 _let_14 _let_13))) (let ((_let_17 (not _let_9))) (let ((_let_18 (or _let_17 _let_16))) (let ((_let_19 (iext uri_rdf_rest skv_6 uri_rdf_nil))) (let ((_let_20 (not _let_19))) (let ((_let_21 (iext uri_rdf_first skv_6 skv_7))) (let ((_let_22 (not _let_21))) (let ((_let_23 (iext uri_rdf_rest skv_5 skv_6))) (let ((_let_24 (not _let_23))) (let ((_let_25 (iext uri_rdf_first skv_5 uri_ex_c))) (let ((_let_26 (not _let_25))) (let ((_let_27 (iext uri_owl_intersectionOf skv_4 skv_5))) (let ((_let_28 (not _let_27))) (let ((_let_29 (iext uri_rdfs_subClassOf uri_ex_d skv_4))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28 _let_26 _let_24 _let_22 _let_20 _let_17))) (let ((_let_32 (forall ((BNODE_xs $$unsorted) (BNODE_li1 $$unsorted) (BNODE_li2 $$unsorted) (BNODE_xc $$unsorted)) (or (not (iext uri_rdfs_subClassOf uri_ex_d BNODE_xs)) (not (iext uri_owl_intersectionOf BNODE_xs BNODE_li1)) (not (iext uri_rdf_first BNODE_li1 uri_ex_c)) (not (iext uri_rdf_rest BNODE_li1 BNODE_li2)) (not (iext uri_rdf_first BNODE_li2 BNODE_xc)) (not (iext uri_rdf_rest BNODE_li2 uri_rdf_nil)) (not (iext uri_owl_complementOf BNODE_xc uri_ex_c2)))))) (let ((_let_33 (not _let_31))) (let ((_let_34 (EQ_RESOLVE (ASSUME |:args| (_let_5)) (MACRO_SR_EQ_INTRO |:args| (_let_5 7 12))))) (let ((_let_35 (20))) (let ((_let_36 (not _let_32))) (let ((_let_37 (_let_36))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME |:args| _let_37)) |:args| _let_37)) (CONG (MACRO_SR_PRED_INTRO |:args| ((= (not _let_36) _let_32))) (REFL |:args| (_let_33)) |:args| _let_35)) (NOT_OR_ELIM _let_34 |:args| (2)) |:args| (_let_33 true _let_32)))) (let ((_let_39 (REFL |:args| (_let_31)))) (let ((_let_40 (forall ((Z $$unsorted) (C $$unsorted) (BOUND_VARIABLE_530 $$unsorted)) (or (not (iext uri_owl_complementOf Z C)) (and (ic Z) (ic C) (= (icext Z BOUND_VARIABLE_530) (not (icext C BOUND_VARIABLE_530)))))))) (let ((_let_41 (EQ_RESOLVE (ASSUME |:args| (_let_1)) (MACRO_SR_EQ_INTRO |:args| (_let_1 7 12))))) (let ((_let_42 (not _let_16))) (let ((_let_43 (not _let_13))) (let ((_let_44 (icext uri_ex_c skv_9))) (let ((_let_45 (and _let_44 _let_12))) (let ((_let_46 (icext skv_4 skv_9))) (let ((_let_47 (= _let_45 _let_46))) (let ((_let_48 (forall ((X $$unsorted)) (= (and (icext uri_ex_c X) (icext skv_7 X)) (icext skv_4 X))))) (let ((_let_49 (ic uri_ex_c))) (let ((_let_50 (ic skv_4))) (let ((_let_51 (and _let_50 _let_49 _let_15 _let_48))) (let ((_let_52 (= _let_27 _let_51))) (let ((_let_53 (or _let_26 _let_20 _let_22 _let_24 _let_52))) (let ((_let_54 (forall ((Z $$unsorted) (S1 $$unsorted) (C1 $$unsorted) (S2 $$unsorted) (C2 $$unsorted)) (or (not (iext uri_rdf_first S1 C1)) (not (iext uri_rdf_rest S2 uri_rdf_nil)) (not (iext uri_rdf_first S2 C2)) (not (iext uri_rdf_rest S1 S2)) (= (iext uri_owl_intersectionOf Z S1) (and (ic Z) (ic C1) (ic C2) (forall ((X $$unsorted)) (= (and (icext C1 X) (icext C2 X)) (icext Z X))))))))) (let ((_let_55 (EQ_RESOLVE (ASSUME |:args| (_let_6)) (MACRO_SR_EQ_INTRO |:args| (_let_6 7 12))))) (let ((_let_56 (_let_48))) (let ((_let_57 (skv_9))) (let ((_let_58 (icext uri_ex_d skv_9))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_46))) (let ((_let_61 (forall ((X $$unsorted)) (or (not (icext uri_ex_d X)) (icext skv_4 X))))) (let ((_let_62 (ic uri_ex_d))) (let ((_let_63 (and _let_61 _let_50 _let_62))) (let ((_let_64 (= _let_29 _let_63))) (let ((_let_65 (forall ((C1 $$unsorted) (C2 $$unsorted)) (= (iext uri_rdfs_subClassOf C1 C2) (and (forall ((X $$unsorted)) (or (not (icext C1 X)) (icext C2 X))) (ic C2) (ic C1)))))) (let ((_let_66 (EQ_RESOLVE (ASSUME |:args| (_let_3)) (MACRO_SR_EQ_INTRO |:args| (_let_3 7 12))))) (let ((_let_67 (_let_65))) (let ((_let_68 (_let_61))) (let ((_let_69 (icext uri_ex_c3 skv_9))) (let ((_let_70 (or _let_59 _let_69))) (let ((_let_71 (forall ((X $$unsorted)) (or (not (icext uri_ex_d X)) (icext uri_ex_c3 X))))) (let ((_let_72 (not _let_70))) (let ((_let_73 (ic uri_ex_c3))) (let ((_let_74 (and _let_71 _let_73 _let_62))) (let ((_let_75 (not _let_71))) (let ((_let_76 (ic uri_ex_c1))) (let ((_let_77 (forall ((X $$unsorted)) (= (or (icext uri_ex_c3 X) (icext uri_ex_c2 X) (icext uri_ex_c1 X)) (icext uri_ex_c X))))) (let ((_let_78 (and _let_49 _let_77 _let_73 _let_14 _let_76))) (let ((_let_79 (iext uri_owl_unionOf uri_ex_c skv_1))) (let ((_let_80 (= _let_78 _let_79))) (let ((_let_81 (iext uri_rdf_first skv_3 uri_ex_c3))) (let ((_let_82 (not _let_81))) (let ((_let_83 (iext uri_rdf_rest skv_3 uri_rdf_nil))) (let ((_let_84 (not _let_83))) (let ((_let_85 (iext uri_rdf_rest skv_2 skv_3))) (let ((_let_86 (not _let_85))) (let ((_let_87 (iext uri_rdf_first skv_2 uri_ex_c2))) (let ((_let_88 (not _let_87))) (let ((_let_89 (iext uri_rdf_rest skv_1 skv_2))) (let ((_let_90 (not _let_89))) (let ((_let_91 (iext uri_rdf_first skv_1 uri_ex_c1))) (let ((_let_92 (not _let_91))) (let ((_let_93 (or _let_92 _let_90 _let_88 _let_86 _let_84 _let_82 _let_80))) (let ((_let_94 (forall ((Z $$unsorted) (S1 $$unsorted) (C1 $$unsorted) (S2 $$unsorted) (C2 $$unsorted) (S3 $$unsorted) (C3 $$unsorted)) (or (not (iext uri_rdf_first S1 C1)) (not (iext uri_rdf_rest S1 S2)) (not (iext uri_rdf_first S2 C2)) (not (iext uri_rdf_rest S2 S3)) (not (iext uri_rdf_rest S3 uri_rdf_nil)) (not (iext uri_rdf_first S3 C3)) (= (and (ic Z) (forall ((X $$unsorted)) (= (or (icext C3 X) (icext C2 X) (icext C1 X)) (icext Z X))) (ic C3) (ic C2) (ic C1)) (iext uri_owl_unionOf Z S1)))))) (let ((_let_95 (EQ_RESOLVE (ASSUME |:args| (_let_4)) (MACRO_SR_EQ_INTRO |:args| (_let_4 7 12))))) (let ((_let_96 (not _let_79))) (let ((_let_97 (or _let_90 _let_86 _let_82 _let_84 _let_88 _let_92 _let_96))) (let ((_let_98 (forall ((BNODE_lu1 $$unsorted) (BNODE_lu2 $$unsorted) (BNODE_lu3 $$unsorted)) (or (not (iext uri_rdf_rest BNODE_lu1 BNODE_lu2)) (not (iext uri_rdf_rest BNODE_lu2 BNODE_lu3)) (not (iext uri_rdf_first BNODE_lu3 uri_ex_c3)) (not (iext uri_rdf_rest BNODE_lu3 uri_rdf_nil)) (not (iext uri_rdf_first BNODE_lu2 uri_ex_c2)) (not (iext uri_rdf_first BNODE_lu1 uri_ex_c1)) (not (iext uri_owl_unionOf uri_ex_c BNODE_lu1)))))) (let ((_let_99 (not _let_97))) (let ((_let_100 (not _let_98))) (let ((_let_101 (_let_100))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME |:args| _let_101)) |:args| _let_101)) (CONG (MACRO_SR_PRED_INTRO |:args| ((= (not _let_100) _let_98))) (REFL |:args| (_let_99)) |:args| _let_35)) (NOT_OR_ELIM _let_34 |:args| (1)) |:args| (_let_99 true _let_98)))) (let ((_let_103 (REFL |:args| (_let_97)))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 |:args| (_let_80)) |:args| ((or _let_96 _let_78 (not _let_80)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG |:args| (_let_97 6)) (CONG _let_103 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_96) _let_79))) |:args| _let_35)) |:args| ((or _let_79 _let_97))) _let_102 |:args| (_let_79 true _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_93)) |:args| ((or _let_92 _let_90 _let_88 _let_86 _let_82 _let_84 _let_80 (not _let_93)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG |:args| (_let_97 5)) (CONG _let_103 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_92) _let_91))) |:args| _let_35)) |:args| ((or _let_91 _let_97))) _let_102 |:args| (_let_91 true _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG |:args| (_let_97 0)) (CONG _let_103 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_90) _let_89))) |:args| _let_35)) |:args| ((or _let_89 _let_97))) _let_102 |:args| (_let_89 true _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG |:args| (_let_97 4)) (CONG _let_103 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_88) _let_87))) |:args| _let_35)) |:args| ((or _let_87 _let_97))) _let_102 |:args| (_let_87 true _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG |:args| (_let_97 1)) (CONG _let_103 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_86) _let_85))) |:args| _let_35)) |:args| ((or _let_85 _let_97))) _let_102 |:args| (_let_85 true _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG |:args| (_let_97 2)) (CONG _let_103 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_82) _let_81))) |:args| _let_35)) |:args| ((or _let_81 _let_97))) _let_102 |:args| (_let_81 true _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG |:args| (_let_97 3)) (CONG _let_103 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_84) _let_83))) |:args| _let_35)) |:args| ((or _let_83 _let_97))) _let_102 |:args| (_let_83 true _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 |:args| (uri_ex_c skv_1 uri_ex_c1 skv_2 uri_ex_c2 skv_3 uri_ex_c3)) |:args| (_let_94))) _let_95 |:args| (_let_93 false _let_94)) |:args| (_let_80 false _let_91 false _let_89 false _let_87 false _let_85 false _let_81 false _let_83 false _let_93)) |:args| (_let_78 false _let_79 false _let_80)))) (let ((_let_105 (not _let_78))) (let ((_let_106 (= _let_7 _let_74))) (let ((_let_107 (not _let_74))) (let ((_let_108 (forall ((X $$unsorted)) (or (not (icext uri_ex_c1 X)) (not (icext uri_ex_d X)))))) (let ((_let_109 (and _let_76 _let_108 _let_62))) (let ((_let_110 (iext uri_owl_disjointWith uri_ex_d uri_ex_c1))) (let ((_let_111 (= _let_109 _let_110))) (let ((_let_112 (forall ((C1 $$unsorted) (C2 $$unsorted)) (= (and (ic C2) (forall ((X $$unsorted)) (or (not (icext C2 X)) (not (icext C1 X)))) (ic C1)) (iext uri_owl_disjointWith C1 C2))))) (let ((_let_113 (EQ_RESOLVE (ASSUME |:args| (_let_2)) (MACRO_SR_EQ_INTRO |:args| (_let_2 7 12))))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 |:args| (_let_111)) |:args| ((or (not _let_110) _let_109 (not _let_111)))) (NOT_NOT_ELIM (NOT_OR_ELIM _let_34 |:args| (0))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 |:args| (uri_ex_d uri_ex_c1)) |:args| (_let_112))) _let_113 |:args| (_let_111 false _let_112)) |:args| (_let_109 false _let_110 false _let_111)))) (let ((_let_115 (not _let_109))) (let ((_let_116 (_let_75))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME |:args| _let_116)) |:args| _let_116)) (CONG (MACRO_SR_PRED_INTRO |:args| ((= (not _let_75) _let_71))) (REFL |:args| (_let_72)) |:args| _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG |:args| (_let_74)) |:args| ((or (not _let_62) _let_74 (not _let_73) _let_75))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS |:args| (_let_109 2)) |:args| ((or _let_62 _let_115))) _let_114 |:args| (_let_62 false _let_109)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 |:args| (_let_106)) |:args| ((or _let_7 _let_107 (not _let_106)))) (ASSUME |:args| (_let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 |:args| (uri_ex_d uri_ex_c3)) |:args| _let_67)) _let_66 |:args| (_let_106 false _let_65)) |:args| (_let_107 true _let_7 false _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS |:args| (_let_78 2)) |:args| ((or _let_73 _let_105))) _let_104 |:args| (_let_73 false _let_78)) |:args| (_let_75 false _let_62 true _let_74 false _let_73)) |:args| (_let_72 true _let_71)))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG |:args| (_let_70 0)) (CONG (REFL |:args| (_let_70)) (MACRO_SR_PRED_INTRO |:args| ((= (not _let_59) _let_58))) |:args| _let_35)) |:args| ((or _let_58 _let_70))) _let_117 |:args| (_let_58 true _let_70)))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 |:args| (_let_47)) |:args| ((or (not _let_46) _let_45 (not _let_47)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_60)) |:args| ((or _let_59 _let_46 (not _let_60)))) _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME |:args| _let_68) |:args| _let_57) |:args| _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS |:args| (_let_63 0)) |:args| ((or _let_61 (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 |:args| (_let_64)) |:args| ((or _let_30 _let_63 (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG |:args| (_let_31 0)) (CONG _let_39 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_30) _let_29))) |:args| _let_35)) |:args| ((or _let_29 _let_31))) _let_38 |:args| (_let_29 true _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 |:args| (uri_ex_d skv_4)) |:args| _let_67)) _let_66 |:args| (_let_64 false _let_65)) |:args| (_let_63 false _let_29 false _let_64)) |:args| (_let_61 false _let_63)) |:args| (_let_60 false _let_61)) |:args| (_let_46 false _let_58 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME |:args| _let_56) |:args| _let_57) |:args| _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS |:args| (_let_51 3)) |:args| ((or _let_48 (not _let_51)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 |:args| (_let_52)) |:args| ((or _let_28 _let_51 (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG |:args| (_let_31 1)) (CONG _let_39 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_28) _let_27))) |:args| _let_35)) |:args| ((or _let_27 _let_31))) _let_38 |:args| (_let_27 true _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_53)) |:args| ((or _let_26 _let_24 _let_20 _let_22 _let_52 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG |:args| (_let_31 2)) (CONG _let_39 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_26) _let_25))) |:args| _let_35)) |:args| ((or _let_25 _let_31))) _let_38 |:args| (_let_25 true _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG |:args| (_let_31 3)) (CONG _let_39 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_24) _let_23))) |:args| _let_35)) |:args| ((or _let_23 _let_31))) _let_38 |:args| (_let_23 true _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG |:args| (_let_31 5)) (CONG _let_39 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_20) _let_19))) |:args| _let_35)) |:args| ((or _let_19 _let_31))) _let_38 |:args| (_let_19 true _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG |:args| (_let_31 4)) (CONG _let_39 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_22) _let_21))) |:args| _let_35)) |:args| ((or _let_21 _let_31))) _let_38 |:args| (_let_21 true _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 |:args| (skv_4 skv_5 uri_ex_c skv_6 skv_7)) |:args| (_let_54))) _let_55 |:args| (_let_53 false _let_54)) |:args| (_let_52 false _let_25 false _let_23 false _let_19 false _let_21 false _let_53)) |:args| (_let_51 false _let_27 false _let_52)) |:args| (_let_48 false _let_51)) |:args| (_let_47 false _let_48)) |:args| (_let_45 false _let_46 false _let_47)))) (let ((_let_120 (not _let_45))) (let ((_let_121 (icext uri_ex_c1 skv_9))) (let ((_let_122 (or _let_69 _let_10 _let_121))) (let ((_let_123 (= _let_122 _let_44))) (let ((_let_124 (_let_77))) (let ((_let_125 (not _let_121))) (let ((_let_126 (or _let_125 _let_59))) (let ((_let_127 (_let_108))) (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_18)) |:args| ((or _let_17 _let_16 (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS |:args| (_let_16 2)) |:args| ((or _let_13 _let_42))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 |:args| (_let_13)) |:args| ((or _let_11 (not _let_12) _let_43))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_122)) |:args| ((or _let_69 _let_10 _let_121 (not _let_122)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG |:args| (_let_70 1)) _let_117 |:args| ((not _let_69) true _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_126)) |:args| ((or _let_59 _let_125 (not _let_126)))) _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME |:args| _let_127) |:args| _let_57) |:args| _let_127)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS |:args| (_let_109 1)) |:args| ((or _let_108 _let_115))) _let_114 |:args| (_let_108 false _let_109)) |:args| (_let_126 false _let_108)) |:args| (_let_125 false _let_58 false _let_126)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 |:args| (_let_123)) |:args| ((or _let_122 (not _let_44) (not _let_123)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS |:args| (_let_45 0)) |:args| ((or _let_44 _let_120))) _let_119 |:args| (_let_44 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME |:args| _let_124) |:args| _let_57) |:args| _let_124)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS |:args| (_let_78 1)) |:args| ((or _let_77 _let_105))) _let_104 |:args| (_let_77 false _let_78)) |:args| (_let_123 false _let_77)) |:args| (_let_122 false _let_44 false _let_123)) |:args| (_let_10 true _let_69 true _let_121 false _let_122)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS |:args| (_let_45 1)) |:args| ((or _let_12 _let_120))) _let_119 |:args| (_let_12 false _let_45)) |:args| (_let_43 false _let_10 false _let_12)) |:args| (_let_42 true _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 |:args| (skv_7 uri_ex_c2 skv_9)) |:args| (_let_40))) _let_41 |:args| (_let_18 false _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG |:args| (_let_31 6)) (CONG _let_39 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_17) _let_9))) |:args| _let_35)) |:args| ((or _let_9 _let_31))) _let_38 |:args| (_let_9 true _let_31)) |:args| (false true _let_16 false _let_18 false _let_9)) |:args| (_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (=> (iext uri_owl_disjointWith X Y) (and (ic Y) (ic X)))) _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 (not false)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 13.88/14.12 ) 13.88/14.12 % SZS output end Proof for theBenchmark 13.88/14.12 EOF