TSTP Solution File: SET863-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET863-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : Thu Aug 31 14:40:48 EDT 2023
% Result : Unsatisfiable 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET863-2 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 15:46:19 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.5jFVCDKy2D/cvc5---1.0.5_17634.p...
% 0.21/0.49 ------- get file name : TPTP file name is SET863-2
% 0.21/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_17634.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53 % SZS status Unsatisfiable for SET863-2
% 0.21/0.53 % SZS output start Proof for SET863-2
% 0.21/0.54 (
% 0.21/0.54 (let ((_let_1 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_set tptp.t_a))) (or (tptp.c_lessequals V_U tptp.v_y _let_1) (not (tptp.c_in V_U tptp.v_c _let_1))))))) (let ((_let_2 (tptp.c_in tptp.v_xa tptp.v_y tptp.t_a))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.c_in tptp.v_xa tptp.v_x tptp.t_a))) (let ((_let_5 (tptp.tc_set tptp.t_a))) (let ((_let_6 (tptp.c_lessequals tptp.v_y tptp.v_x _let_5))) (let ((_let_7 (tptp.c_in tptp.v_x tptp.v_S _let_5))) (let ((_let_8 (tptp.tc_set _let_5))) (let ((_let_9 (tptp.c_Zorn_Ochain tptp.v_S tptp.t_a))) (let ((_let_10 (tptp.c_in tptp.v_c _let_9 _let_8))) (let ((_let_11 (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) _let_8))) (let ((_let_12 (forall ((V_z $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_S $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (let ((_let_2 (tptp.tc_set _let_1))) (or (not (tptp.c_in V_z V_x T_a)) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) _let_2)) (not (tptp.c_in (tptp.c_union (tptp.c_insert V_x tptp.c_emptyset _let_1) V_c _let_1) (tptp.c_Zorn_Ochain V_S T_a) _let_2)) (not (tptp.c_lessequals (tptp.c_Zorn_Omaxchain__super__lemma__1 V_c V_y T_a) V_y _let_1)) (tptp.c_in V_z V_y T_a))))))) (let ((_let_13 (forall ((V_z $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_S $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (let ((_let_2 (tptp.tc_set _let_1))) (or (not (tptp.c_in V_z V_x T_a)) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) _let_2)) (not (tptp.c_in (tptp.c_union (tptp.c_insert V_x tptp.c_emptyset _let_1) V_c _let_1) (tptp.c_Zorn_Ochain V_S T_a) _let_2)) (tptp.c_in V_z V_y T_a) (tptp.c_in (tptp.c_Zorn_Omaxchain__super__lemma__1 V_c V_y T_a) V_c _let_1))))))) (let ((_let_14 (forall ((V_z $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (let ((_let_2 (tptp.tc_set _let_1))) (let ((_let_3 (tptp.c_Zorn_Ochain V_S T_a))) (or (not (tptp.c_in V_z V_S _let_1)) (not (tptp.c_in V_c _let_3 _let_2)) (not (tptp.c_lessequals (tptp.c_Zorn_Ochain__extend__1 V_c V_z T_a) V_z _let_1)) (tptp.c_in (tptp.c_union (tptp.c_insert V_z tptp.c_emptyset _let_1) V_c _let_1) _let_3 _let_2)))))))) (let ((_let_15 (forall ((V_z $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (let ((_let_2 (tptp.tc_set _let_1))) (let ((_let_3 (tptp.c_Zorn_Ochain V_S T_a))) (or (not (tptp.c_in V_z V_S _let_1)) (not (tptp.c_in V_c _let_3 _let_2)) (tptp.c_in (tptp.c_Zorn_Ochain__extend__1 V_c V_z T_a) V_c _let_1) (tptp.c_in (tptp.c_union (tptp.c_insert V_z tptp.c_emptyset _let_1) V_c _let_1) _let_3 _let_2)))))))) (let ((_let_16 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_B T_a)) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))) (let ((_let_17 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_A T_a) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))) (let ((_let_18 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_in V_c V_B T_a))))) (let ((_let_19 (tptp.c_Zorn_Ochain__extend__1 tptp.v_c tptp.v_x tptp.t_a))) (let ((_let_20 (tptp.c_Main_OsubsetI__1 _let_19 tptp.v_x tptp.t_a))) (let ((_let_21 (tptp.c_in _let_20 tptp.v_x tptp.t_a))) (let ((_let_22 (not _let_6))) (let ((_let_23 (tptp.c_in _let_20 tptp.v_y tptp.t_a))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_22 _let_21))) (let ((_let_26 (_let_18))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (not _let_25))) (let ((_let_29 (tptp.c_lessequals _let_19 tptp.v_y _let_5))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.c_in _let_20 _let_19 tptp.t_a))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30 _let_23))) (let ((_let_34 ((not (= (tptp.c_in V_c V_A T_a) false)) (not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) false))))) (let ((_let_35 (tptp.c_in _let_19 tptp.v_c _let_5))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_29 _let_36))) (let ((_let_38 (_let_1))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 ((not (= (tptp.c_in V_U tptp.v_c _let_5) false))))) (let ((_let_41 (tptp.c_in (tptp.c_union (tptp.c_insert tptp.v_x tptp.c_emptyset _let_5) tptp.v_c _let_5) _let_9 _let_8))) (let ((_let_42 (not _let_10))) (let ((_let_43 (not _let_7))) (let ((_let_44 (or _let_43 _let_42 _let_35 _let_41))) (let ((_let_45 (_let_15))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (tptp.tc_set T_a))) (let ((_let_48 (tptp.c_Zorn_Omaxchain__super__lemma__1 tptp.v_c tptp.v_y tptp.t_a))) (let ((_let_49 (tptp.c_in _let_48 tptp.v_c _let_5))) (let ((_let_50 (not _let_41))) (let ((_let_51 (not _let_11))) (let ((_let_52 (not _let_4))) (let ((_let_53 (or _let_52 _let_51 _let_50 _let_2 _let_49))) (let ((_let_54 (tptp.c_lessequals _let_48 tptp.v_y _let_5))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_52 _let_51 _let_50 _let_55 _let_2))) (let ((_let_57 (not _let_49))) (let ((_let_58 (or _let_54 _let_57))) (let ((_let_59 (ASSUME :args (_let_11)))) (let ((_let_60 (ASSUME :args (_let_4)))) (let ((_let_61 (ASSUME :args (_let_3)))) (let ((_let_62 (_let_13))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (_let_12))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_57 _let_54 (not _let_58)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_48 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_38)) _let_39 :args (_let_58 false _let_1)) (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_2 _let_51 _let_52 _let_50 _let_55 (not _let_56)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.v_xa tptp.v_x tptp.t_a tptp.v_c tptp.v_S tptp.v_y QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_z V_x T_a) false)) (not (= (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a))) false)) (tptp.c_Zorn_Omaxchain__super__lemma__1 V_c V_y T_a)))) :args _let_64)) _let_65 :args (_let_56 false _let_12)) _let_61 _let_60 _let_59 (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_2 _let_51 _let_52 _let_50 _let_49 (not _let_53)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.v_xa tptp.v_x tptp.t_a tptp.v_c tptp.v_S tptp.v_y QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_z V_x T_a) false)) (not (= (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a))) false)) (not (= (tptp.c_in V_z V_y T_a) true))))) :args _let_62)) _let_63 :args (_let_53 false _let_13)) _let_61 _let_60 _let_59 :args (_let_50 false _let_58 true _let_54 false _let_56 true _let_2 false _let_4 false _let_11 false _let_49 false _let_53 true _let_2 false _let_4 false _let_11)))) (let ((_let_67 (ASSUME :args (_let_7)))) (let ((_let_68 (ASSUME :args (_let_10)))) (let ((_let_69 (tptp.c_lessequals _let_19 tptp.v_x _let_5))) (let ((_let_70 (or _let_31 _let_69))) (let ((_let_71 (_let_17))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 (not _let_69))) (let ((_let_74 (or _let_43 _let_42 _let_73 _let_41))) (let ((_let_75 (_let_14))) (let ((_let_76 (ASSUME :args _let_75))) (let ((_let_77 (tptp.tc_set T_a))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_42 _let_43 _let_41 _let_73 (not _let_74)))) _let_68 _let_67 _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.v_x tptp.v_S tptp.t_a tptp.v_c QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_union (tptp.c_insert V_z tptp.c_emptyset _let_77) V_c _let_77) (tptp.c_Zorn_Ochain V_S T_a) (tptp.tc_set _let_77)) true))))) :args _let_75)) _let_76 :args (_let_74 false _let_14)) :args (_let_73 false _let_10 false _let_7 true _let_41 false _let_74)))) (let ((_let_79 (not _let_21))) (let ((_let_80 (or _let_79 _let_69))) (let ((_let_81 (_let_16))) (let ((_let_82 (ASSUME :args _let_81))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_20 tptp.v_y tptp.t_a tptp.v_x QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_22 _let_21 _let_24 _let_28))) (ASSUME :args (_let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_69 _let_79 (not _let_80)))) _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_19 tptp.v_x tptp.t_a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) :args _let_81)) _let_82 :args (_let_80 false _let_16)) :args (_let_79 true _let_69 false _let_80)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_30 _let_23 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_69 _let_31 (not _let_70)))) _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_19 tptp.v_x tptp.t_a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) :args _let_71)) _let_72 :args (_let_70 false _let_17)) :args (_let_31 true _let_69 false _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_29 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_42 _let_43 _let_41 _let_35 (not _let_44)))) _let_68 _let_67 _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.v_x tptp.v_S tptp.t_a tptp.v_c QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_union (tptp.c_insert V_z tptp.c_emptyset _let_47) V_c _let_47) (tptp.c_Zorn_Ochain V_S T_a) (tptp.tc_set _let_47)) true))))) :args _let_45)) _let_46 :args (_let_44 false _let_15)) :args (_let_35 false _let_10 false _let_7 true _let_41 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_38)) _let_39 :args (_let_37 false _let_1)) :args (_let_29 false _let_35 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_20 _let_19 tptp.t_a tptp.v_y QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_26)) _let_27 :args (_let_33 false _let_18)) :args (_let_23 false _let_31 false _let_29 false _let_33)) :args (_let_28 false _let_6 true _let_21 false _let_23)) _let_27 :args (false true _let_25 false _let_18)) :args (_let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_7 _let_6 _let_4 _let_3 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54 )
% 0.21/0.54 % SZS output end Proof for SET863-2
% 0.21/0.54 % cvc5---1.0.5 exiting
% 0.21/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------