TSTP Solution File: SET857-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET857-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 14:40:45 EDT 2023
% Result : Unsatisfiable 1.71s 1.92s
% Output : Proof 1.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET857-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n011.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 13:36:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.KXAV4yVXg4/cvc5---1.0.5_20311.p...
% 0.20/0.51 ------- get file name : TPTP file name is SET857-2
% 0.20/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20311.smt2...
% 0.20/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.71/1.92 % SZS status Unsatisfiable for SET857-2
% 1.71/1.92 % SZS output start Proof for SET857-2
% 1.71/1.93 (
% 1.71/1.93 (let ((_let_1 (forall ((V_V $$unsorted) (V_U $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set tptp.t_a)))) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S V_V tptp.t_a) V_U _let_1) (= V_V V_U) (not (tptp.c_lessequals V_V V_U _let_1)) (not (tptp.c_in V_V (tptp.c_Zorn_OTFin tptp.v_S tptp.t_a) _let_1)) (not (tptp.c_in V_U tptp.v_Y _let_1))))))) (let ((_let_2 (tptp.tc_set tptp.t_a))) (let ((_let_3 (tptp.tc_set _let_2))) (let ((_let_4 (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_n tptp.t_a) tptp.v_x _let_3))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.c_lessequals tptp.v_x tptp.v_n _let_3))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.c_in tptp.v_x tptp.v_Y _let_3))) (let ((_let_9 (tptp.c_Zorn_OTFin tptp.v_S tptp.t_a))) (let ((_let_10 (tptp.c_in tptp.v_n _let_9 _let_3))) (let ((_let_11 (tptp.c_lessequals tptp.v_Y _let_9 (tptp.tc_set _let_3)))) (let ((_let_12 (forall ((V_m $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_2 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_in V_m _let_2 _let_1)) (not (tptp.c_in V_n _let_2 _let_1)) (not (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S (tptp.c_Zorn_OTFin__linear__lemma1__1 V_S V_m T_a) T_a) V_m _let_1)) (tptp.c_lessequals V_n V_m _let_1) (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n _let_1))))))) (let ((_let_13 (forall ((V_m $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_2 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_in V_m _let_2 _let_1)) (not (tptp.c_in V_n _let_2 _let_1)) (not (= (tptp.c_Zorn_OTFin__linear__lemma1__1 V_S V_m T_a) V_m)) (tptp.c_lessequals V_n V_m _let_1) (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n _let_1))))))) (let ((_let_14 (forall ((V_m $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_2 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_in V_m _let_2 _let_1)) (not (tptp.c_in V_n _let_2 _let_1)) (tptp.c_lessequals V_n V_m _let_1) (tptp.c_lessequals (tptp.c_Zorn_OTFin__linear__lemma1__1 V_S V_m T_a) V_m _let_1) (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n _let_1))))))) (let ((_let_15 (forall ((V_m $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_2 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_in V_m _let_2 _let_1)) (not (tptp.c_in V_n _let_2 _let_1)) (tptp.c_in (tptp.c_Zorn_OTFin__linear__lemma1__1 V_S V_m T_a) _let_2 _let_1) (tptp.c_lessequals V_n V_m _let_1) (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n _let_1))))))) (let ((_let_16 (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x (tptp.c_Zorn_Osucc V_S V_x T_a) (tptp.tc_set (tptp.tc_set T_a)))))) (let ((_let_17 (forall ((V_A $$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_18 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_A T_a) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))) (let ((_let_19 (forall ((V_c $$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_20 (tptp.c_Main_OsubsetI__1 tptp.v_x tptp.v_n _let_2))) (let ((_let_21 (tptp.c_in _let_20 tptp.v_n _let_2))) (let ((_let_22 (tptp.c_Zorn_Osucc tptp.v_S tptp.v_x tptp.t_a))) (let ((_let_23 (tptp.c_lessequals _let_22 tptp.v_n _let_3))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.c_in _let_20 _let_22 _let_2))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_21))) (let ((_let_28 (_let_19))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (not _let_27))) (let ((_let_31 (tptp.c_lessequals tptp.v_x _let_22 _let_3))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.c_in _let_20 tptp.v_x _let_2))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32 _let_25))) (let ((_let_36 ((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_37 (_let_16))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (or _let_33 _let_6))) (let ((_let_40 (_let_18))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (ASSUME :args (_let_7)))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_6 _let_33 (not _let_39)))) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.v_x tptp.v_n _let_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) :args _let_40)) _let_41 :args (_let_39 false _let_18)) :args (_let_33 true _let_6 false _let_39)))) (let ((_let_44 (tptp.c_in tptp.v_x _let_9 _let_3))) (let ((_let_45 (tptp.c_lessequals tptp.v_n tptp.v_x _let_3))) (let ((_let_46 (tptp.c_Zorn_OTFin__linear__lemma1__1 tptp.v_S tptp.v_x tptp.t_a))) (let ((_let_47 (tptp.c_lessequals _let_46 tptp.v_x _let_3))) (let ((_let_48 (not _let_10))) (let ((_let_49 (not _let_44))) (let ((_let_50 (or _let_49 _let_48 _let_45 _let_47 _let_23))) (let ((_let_51 (tptp.c_in _let_46 _let_9 _let_3))) (let ((_let_52 (or _let_49 _let_48 _let_51 _let_45 _let_23))) (let ((_let_53 (= tptp.v_x _let_46))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_49 _let_48 _let_54 _let_45 _let_23))) (let ((_let_56 (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S _let_46 tptp.t_a) tptp.v_x _let_3))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_49 _let_48 _let_57 _let_45 _let_23))) (let ((_let_59 (not _let_8))) (let ((_let_60 (not _let_51))) (let ((_let_61 (not _let_47))) (let ((_let_62 (or _let_56 _let_53 _let_61 _let_60 _let_59))) (let ((_let_63 (ASSUME :args (_let_10)))) (let ((_let_64 (not _let_11))) (let ((_let_65 (or _let_59 _let_64 _let_44))) (let ((_let_66 (ASSUME :args (_let_8)))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_59 _let_44 (not _let_65)))) (ASSUME :args (_let_11)) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.v_x tptp.v_Y _let_3 _let_9 QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_28)) _let_29 :args (_let_65 false _let_19)) :args (_let_44 false _let_11 false _let_8 false _let_65)))) (let ((_let_68 (not _let_45))) (let ((_let_69 (= tptp.v_n tptp.v_x))) (let ((_let_70 (or _let_4 _let_69 _let_68 _let_48 _let_59))) (let ((_let_71 (_let_1))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 ((not (= (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S V_V tptp.t_a) V_U _let_3) true))))) (let ((_let_74 (not _let_69))) (let ((_let_75 (not _let_21))) (let ((_let_76 (or _let_75 _let_6))) (let ((_let_77 (_let_17))) (let ((_let_78 (ASSUME :args _let_77))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_6 _let_75 (not _let_76)))) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.v_x tptp.v_n _let_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) :args _let_77)) _let_78 :args (_let_76 false _let_17)) :args (_let_75 true _let_6 false _let_76)))) (let ((_let_80 (ASSUME :args (_let_33)))) (let ((_let_81 (ASSUME :args (_let_69)))) (let ((_let_82 (ASSUME :args (_let_75)))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_4 _let_48 _let_59 _let_69 _let_68 (not _let_70)))) (ASSUME :args (_let_5)) _let_63 _let_66 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_80 _let_81 _let_82) :args (_let_33 _let_75 _let_69)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_82)) (CONG (REFL :args (_let_20)) (SYMM (SYMM _let_81)) (REFL :args (_let_2)) :args (APPLY_UF tptp.c_in)) (TRUE_INTRO _let_80))) :args (_let_33 _let_69 _let_75)) :args ((not (and _let_33 _let_75 _let_69)) SB_LITERAL))) (CONG (REFL :args (_let_34)) (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_21))) (REFL :args (_let_74)) :args (or))) :args ((or _let_21 _let_34 _let_74))) _let_79 _let_43 :args (_let_74 true _let_21 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.v_n tptp.v_x QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71)) _let_72 :args (_let_70 false _let_1)) :args (_let_68 true _let_4 false _let_10 false _let_8 true _let_69 false _let_70)))) (let ((_let_84 (_let_14))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_87 (tptp.c_Zorn_OTFin V_S T_a))) (let ((_let_88 (_let_15))) (let ((_let_89 (ASSUME :args _let_88))) (let ((_let_90 (forall ((V_m $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_2 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_in V_m _let_2 _let_1)) (not (tptp.c_in V_n _let_2 _let_1)) (not (= V_m (tptp.c_Zorn_OTFin__linear__lemma1__1 V_S V_m T_a))) (tptp.c_lessequals V_n V_m _let_1) (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n _let_1))))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (_let_12))) (let ((_let_93 (ASSUME :args _let_92))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_20 _let_22 _let_2 tptp.v_n QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_21 _let_24 _let_26 _let_30))) _let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_59 _let_60 _let_61 _let_53 _let_56 (not _let_62)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_46 tptp.v_x QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71))) _let_72 :args (_let_62 false _let_1)) _let_66 (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_48 _let_49 _let_45 _let_23 _let_57 (not _let_58)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.v_x tptp.v_S tptp.t_a tptp.v_n QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n (tptp.tc_set (tptp.tc_set T_a))) true))))) :args _let_92)) _let_93 :args (_let_58 false _let_12)) _let_83 _let_67 _let_63 (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_48 _let_49 _let_45 _let_23 _let_54 (not _let_55)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.v_x tptp.v_S tptp.t_a tptp.v_n QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n (tptp.tc_set (tptp.tc_set T_a))) true))))) :args (_let_90))) _let_91 :args (_let_55 false _let_90)) _let_83 _let_67 _let_63 (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_48 _let_49 _let_45 _let_51 _let_23 (not _let_52)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.v_x tptp.v_S tptp.t_a tptp.v_n QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n (tptp.tc_set (tptp.tc_set T_a))) true))))) :args _let_88)) _let_89 :args (_let_52 false _let_15)) _let_83 _let_67 _let_63 (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_48 _let_49 _let_45 _let_47 _let_23 (not _let_50)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.v_x tptp.v_S tptp.t_a tptp.v_n QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_m _let_87 _let_86) false)) (not (= (tptp.c_in V_n _let_87 _let_86) false))))) :args _let_84)) _let_85 :args (_let_50 false _let_14)) _let_83 _let_67 _let_63 :args (_let_23 false _let_62 false _let_8 true _let_56 false _let_58 true _let_45 false _let_44 false _let_10 true _let_53 false _let_55 true _let_45 false _let_44 false _let_10 false _let_51 false _let_52 true _let_45 false _let_44 false _let_10 false _let_47 false _let_50 true _let_45 false _let_44 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_32 _let_25 (not _let_35)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.v_x tptp.v_S tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Zorn_Osucc V_S V_x T_a)))) :args _let_37)) _let_38 :args (_let_31 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_20 tptp.v_x _let_2 _let_22 QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_28)) _let_29 :args (_let_35 false _let_19)) :args (_let_25 false _let_33 false _let_31 false _let_35)) :args (_let_30 true _let_21 false _let_23 false _let_25)) _let_29 :args (false true _let_27 false _let_19)) :args (_let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_8 _let_7 _let_5 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.71/1.93 )
% 1.71/1.93 % SZS output end Proof for SET857-2
% 1.71/1.93 % cvc5---1.0.5 exiting
% 1.71/1.93 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------