TSTP Solution File: TOP005-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : TOP005-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 : Fri Sep 1 05:54:32 EDT 2023
% Result : Unsatisfiable 0.21s 0.52s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : TOP005-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n010.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 23:37:19 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.CGZUW4VtoH/cvc5---1.0.5_11230.p...
% 0.21/0.49 ------- get file name : TPTP file name is TOP005-2
% 0.21/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11230.smt2...
% 0.21/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.52 % SZS status Unsatisfiable for TOP005-2
% 0.21/0.52 % SZS output start Proof for TOP005-2
% 0.21/0.52 (
% 0.21/0.52 (let ((_let_1 (tptp.top_of_basis tptp.f))) (let ((_let_2 (tptp.union_of_members tptp.g))) (let ((_let_3 (tptp.element_of_collection _let_2 _let_1))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.subset_collections tptp.g _let_1))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted)) (or (not (tptp.subset_collections X Y)) (not (tptp.element_of_collection U X)) (tptp.element_of_collection U Y))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.subset_sets X Y)) (not (tptp.element_of_collection Y Z)) (tptp.subset_sets X (tptp.union_of_members Z)))))) (let ((_let_8 (forall ((U $$unsorted) (Vf $$unsorted) (Uu11 $$unsorted)) (or (tptp.element_of_collection U (tptp.top_of_basis Vf)) (not (tptp.element_of_set (tptp.f11 Vf U) Uu11)) (not (tptp.element_of_collection Uu11 Vf)) (not (tptp.subset_sets Uu11 U)))))) (let ((_let_9 (forall ((U $$unsorted) (Vf $$unsorted)) (or (tptp.element_of_collection U (tptp.top_of_basis Vf)) (tptp.element_of_set (tptp.f11 Vf U) U))))) (let ((_let_10 (forall ((U $$unsorted) (Vf $$unsorted) (X $$unsorted)) (or (not (tptp.element_of_collection U (tptp.top_of_basis Vf))) (not (tptp.element_of_set X U)) (tptp.subset_sets (tptp.f10 Vf U X) U))))) (let ((_let_11 (forall ((U $$unsorted) (Vf $$unsorted) (X $$unsorted)) (or (not (tptp.element_of_collection U (tptp.top_of_basis Vf))) (not (tptp.element_of_set X U)) (tptp.element_of_collection (tptp.f10 Vf U X) Vf))))) (let ((_let_12 (forall ((U $$unsorted) (Vf $$unsorted) (X $$unsorted)) (or (not (tptp.element_of_collection U (tptp.top_of_basis Vf))) (not (tptp.element_of_set X U)) (tptp.element_of_set X (tptp.f10 Vf U X)))))) (let ((_let_13 (forall ((U $$unsorted) (Vf $$unsorted)) (or (not (tptp.element_of_set U (tptp.union_of_members Vf))) (tptp.element_of_collection (tptp.f1 Vf U) Vf))))) (let ((_let_14 (forall ((U $$unsorted) (Vf $$unsorted)) (or (not (tptp.element_of_set U (tptp.union_of_members Vf))) (tptp.element_of_set U (tptp.f1 Vf U)))))) (let ((_let_15 (tptp.f11 tptp.f _let_2))) (let ((_let_16 (tptp.f1 tptp.g _let_15))) (let ((_let_17 (tptp.f10 tptp.f _let_16 _let_15))) (let ((_let_18 (tptp.subset_sets _let_17 _let_2))) (let ((_let_19 (tptp.element_of_collection _let_16 tptp.g))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.subset_sets _let_17 _let_16))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20 _let_18))) (let ((_let_24 (_let_7))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (not _let_23))) (let ((_let_27 (not _let_18))) (let ((_let_28 (tptp.element_of_collection _let_17 tptp.f))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.element_of_set _let_15 _let_17))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_3 _let_31 _let_29 _let_27))) (let ((_let_33 (_let_8))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (tptp.element_of_set _let_15 _let_16))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.element_of_collection _let_16 _let_1))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36 _let_30))) (let ((_let_40 (_let_12))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (not _let_5))) (let ((_let_43 (or _let_42 _let_20 _let_37))) (let ((_let_44 (_let_6))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (tptp.element_of_set _let_15 _let_2))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_19))) (let ((_let_49 (_let_13))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (or _let_3 _let_46))) (let ((_let_52 (_let_9))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (ASSUME :args (_let_4)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_3 _let_46 (not _let_51)))) _let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_2 tptp.f QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element_of_collection U (tptp.top_of_basis Vf)) true))))) :args _let_52)) _let_53 :args (_let_51 false _let_9)) :args (_let_46 true _let_3 false _let_51)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_19 (not _let_48)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_15 tptp.g QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element_of_set U (tptp.union_of_members Vf)) false))))) :args _let_49)) _let_50 :args (_let_48 false _let_13)) :args (_let_19 false _let_46 false _let_48)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_42 _let_20 _let_37 (not _let_43)))) (ASSUME :args (_let_5)) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.g _let_1 _let_16 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.subset_collections X Y) false)) (not (= (tptp.element_of_collection U X) false))))) :args _let_44)) _let_45 :args (_let_43 false _let_6)) :args (_let_37 false _let_5 false _let_19 false _let_43)))) (let ((_let_58 (or _let_47 _let_35))) (let ((_let_59 (_let_14))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_47 _let_35 (not _let_58)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_15 tptp.g QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element_of_set U (tptp.union_of_members Vf)) false))))) :args _let_59)) _let_60 :args (_let_58 false _let_14)) :args (_let_35 false _let_46 false _let_58)))) (let ((_let_62 (or _let_38 _let_36 _let_28))) (let ((_let_63 (_let_11))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (or _let_38 _let_36 _let_21))) (let ((_let_66 (_let_10))) (let ((_let_67 (ASSUME :args _let_66))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_17 _let_16 tptp.g QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.subset_sets X Y) false)) (not (= (tptp.subset_sets X (tptp.union_of_members Z)) true))))) :args _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_20 _let_22 _let_18 _let_26))) _let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_36 _let_38 _let_21 (not _let_65)))) _let_61 _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_16 tptp.f _let_15 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element_of_collection U (tptp.top_of_basis Vf)) false)) (not (= (tptp.element_of_set X U) false))))) :args _let_66)) _let_67 :args (_let_65 false _let_10)) :args (_let_21 false _let_35 false _let_37 false _let_65)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_3 _let_29 _let_31 _let_27 (not _let_32)))) _let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_36 _let_38 _let_28 (not _let_62)))) _let_61 _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_16 tptp.f _let_15 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element_of_set X U) false)) (not (= (tptp.element_of_collection U (tptp.top_of_basis Vf)) false))))) :args _let_63)) _let_64 :args (_let_62 false _let_11)) :args (_let_28 false _let_35 false _let_37 false _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_36 _let_38 _let_30 (not _let_39)))) _let_61 _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_16 tptp.f _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f10 Vf U X)))) :args _let_40)) _let_41 :args (_let_39 false _let_12)) :args (_let_30 false _let_35 false _let_37 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_2 tptp.f _let_17 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element_of_collection Uu11 Vf) false)) (not (= (tptp.element_of_collection U (tptp.top_of_basis Vf)) true))))) :args _let_33)) _let_34 :args (_let_32 false _let_8)) :args (_let_27 true _let_3 false _let_28 false _let_30 false _let_32)) :args (_let_26 false _let_19 false _let_21 true _let_18)) _let_25 :args (false true _let_23 false _let_7)) :args (_let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted)) (or (tptp.subset_sets X Y) (not (tptp.element_of_set U X)) (tptp.element_of_set U Y))) _let_7 _let_6 _let_5 _let_4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.52 )
% 0.21/0.52 % SZS output end Proof for TOP005-2
% 0.21/0.53 % cvc5---1.0.5 exiting
% 0.21/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------