TSTP Solution File: SET853-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET853-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 14:40:43 EDT 2023
% Result : Unsatisfiable 0.19s 0.52s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET853-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 08:54:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.mL3Hm6uTDk/cvc5---1.0.5_30042.p...
% 0.19/0.48 ------- get file name : TPTP file name is SET853-2
% 0.19/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30042.smt2...
% 0.19/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.52 % SZS status Unsatisfiable for SET853-2
% 0.19/0.52 % SZS output start Proof for SET853-2
% 0.19/0.53 (
% 0.19/0.53 (let ((_let_1 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_S $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (or (not (tptp.c_lessequals V_x V_y _let_1)) (tptp.c_lessequals V_x (tptp.c_Zorn_Osucc V_S V_y T_a) _let_1)))))) (let ((_let_2 (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_3 (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_4 (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_5 (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_6 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A V_A (tptp.tc_set T_a))))) (let ((_let_7 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (or (not (tptp.c_lessequals V_B V_A _let_1)) (not (tptp.c_lessequals V_A V_B _let_1)) (= V_A V_B)))))) (let ((_let_8 (forall ((V_U $$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_U tptp.t_a) tptp.v_x _let_1) (= V_U tptp.v_x) (not (tptp.c_lessequals V_U tptp.v_x _let_1)) (not (tptp.c_in V_U (tptp.c_Zorn_OTFin tptp.v_S tptp.t_a) _let_1))))))) (let ((_let_9 (tptp.tc_set tptp.t_a))) (let ((_let_10 (tptp.tc_set _let_9))) (let ((_let_11 (tptp.c_Zorn_Osucc tptp.v_S tptp.v_x tptp.t_a))) (let ((_let_12 (tptp.c_Zorn_Osucc tptp.v_S tptp.v_xa tptp.t_a))) (let ((_let_13 (tptp.c_lessequals _let_12 _let_11 _let_10))) (let ((_let_14 (not _let_13))) (let ((_let_15 (= tptp.v_xa _let_11))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.c_lessequals tptp.v_xa _let_11 _let_10))) (let ((_let_18 (tptp.c_Zorn_OTFin tptp.v_S tptp.t_a))) (let ((_let_19 (tptp.c_in tptp.v_xa _let_18 _let_10))) (let ((_let_20 (tptp.c_in tptp.v_x _let_18 _let_10))) (let ((_let_21 (= tptp.v_x tptp.v_xa))) (let ((_let_22 (tptp.c_lessequals _let_12 _let_12 _let_10))) (let ((_let_23 (ASSUME :args (_let_14)))) (let ((_let_24 (not _let_19))) (let ((_let_25 (tptp.c_lessequals tptp.v_xa tptp.v_x _let_10))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.c_lessequals _let_12 tptp.v_x _let_10))) (let ((_let_28 (or _let_27 _let_21 _let_26 _let_24))) (let ((_let_29 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set tptp.t_a)))) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S V_U tptp.t_a) tptp.v_x _let_1) (= tptp.v_x V_U) (not (tptp.c_lessequals V_U tptp.v_x _let_1)) (not (tptp.c_in V_U (tptp.c_Zorn_OTFin tptp.v_S tptp.t_a) _let_1))))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (_let_29))) (let ((_let_32 ((tptp.c_Zorn_Osucc tptp.v_S V_U tptp.t_a)))) (let ((_let_33 (tptp.c_lessequals _let_11 tptp.v_xa _let_10))) (let ((_let_34 (tptp.c_Zorn_OTFin__linear__lemma1__1 tptp.v_S tptp.v_x tptp.t_a))) (let ((_let_35 (tptp.c_in _let_34 _let_18 _let_10))) (let ((_let_36 (not _let_20))) (let ((_let_37 (or _let_36 _let_24 _let_35 _let_25 _let_33))) (let ((_let_38 (tptp.c_lessequals _let_34 tptp.v_x _let_10))) (let ((_let_39 (or _let_36 _let_24 _let_25 _let_38 _let_33))) (let ((_let_40 (= tptp.v_x _let_34))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_36 _let_24 _let_41 _let_25 _let_33))) (let ((_let_43 (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S _let_34 tptp.t_a) tptp.v_x _let_10))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_36 _let_24 _let_44 _let_25 _let_33))) (let ((_let_46 (not _let_35))) (let ((_let_47 (not _let_38))) (let ((_let_48 (or _let_43 _let_40 _let_47 _let_46))) (let ((_let_49 (ASSUME :args (_let_20)))) (let ((_let_50 (ASSUME :args (_let_19)))) (let ((_let_51 (not _let_33))) (let ((_let_52 (not _let_17))) (let ((_let_53 (or _let_52 _let_51 _let_15))) (let ((_let_54 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (or (not (tptp.c_lessequals V_B V_A _let_1)) (not (tptp.c_lessequals V_A V_B _let_1)) (= V_B V_A)))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_15 _let_52 _let_51 (not _let_53)))) (ASSUME :args (_let_16)) (ASSUME :args (_let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.v_xa _let_11 _let_9 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_B V_A (tptp.tc_set T_a)) false))))) :args (_let_54))) _let_55 :args (_let_53 false _let_54)) :args (_let_51 true _let_15 false _let_17 false _let_53)))) (let ((_let_57 (_let_5))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (_let_4))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (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_62 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (_let_2))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (not _let_27))) (let ((_let_66 (or _let_65 _let_13))) (let ((_let_67 (_let_1))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 (_let_6))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 (ASSUME :args (_let_22)))) (let ((_let_72 (ASSUME :args (_let_21)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_71 _let_72 _let_23) :args (_let_14 _let_21 _let_22)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_23)) (CONG (REFL :args (_let_12)) (CONG (REFL :args (tptp.v_S)) (SYMM (SYMM _let_72)) (REFL :args (tptp.t_a)) :args (APPLY_UF tptp.c_Zorn_Osucc)) (REFL :args (_let_10)) :args (APPLY_UF tptp.c_lessequals)) (TRUE_INTRO _let_71))) :args (_let_22 _let_21 _let_14)) :args ((not (and _let_14 _let_21 _let_22)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) (REFL :args ((not _let_21))) (REFL :args ((not _let_22))) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_12 _let_9 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_A V_A (tptp.tc_set T_a)) true))))) :args _let_69)) _let_70 :args (_let_22 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_24 _let_27 _let_21 _let_26 (not _let_28)))) _let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_13 _let_65 (not _let_66)))) _let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_12 tptp.v_x tptp.t_a tptp.v_S QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_x (tptp.c_Zorn_Osucc V_S V_y T_a) (tptp.tc_set (tptp.tc_set T_a))) true))))) :args _let_67)) _let_68 :args (_let_66 false _let_1)) :args (_let_65 true _let_13 false _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_40 _let_43 _let_46 _let_47 (not _let_48)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_31)) _let_30 :args (_let_48 false _let_29)) (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_36 _let_24 _let_25 _let_33 _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.v_x tptp.v_S tptp.t_a tptp.v_xa 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_63)) _let_64 :args (_let_45 false _let_2)) _let_56 _let_50 _let_49 (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_36 _let_24 _let_25 _let_33 _let_41 (not _let_42)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.v_x tptp.v_S tptp.t_a tptp.v_xa 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_61))) _let_62 :args (_let_42 false _let_61)) _let_56 _let_50 _let_49 (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_36 _let_24 _let_25 _let_33 _let_38 (not _let_39)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.v_x tptp.v_S tptp.t_a tptp.v_xa 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_59)) _let_60 :args (_let_39 false _let_4)) _let_56 _let_50 _let_49 (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_24 _let_25 _let_33 _let_35 (not _let_37)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.v_x tptp.v_S tptp.t_a tptp.v_xa 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_57)) _let_58 :args (_let_37 false _let_5)) _let_56 _let_50 _let_49 :args (_let_25 false _let_48 true _let_43 false _let_45 true _let_33 false _let_19 false _let_20 true _let_40 false _let_42 true _let_33 false _let_19 false _let_20 false _let_38 false _let_39 true _let_33 false _let_19 false _let_20 false _let_35 false _let_37 true _let_33 false _let_19 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.v_xa QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_31)) _let_30 :args (_let_28 false _let_29)) :args (_let_21 false _let_19 true _let_27 false _let_25 false _let_28)) _let_23 :args (false false _let_22 false _let_21 true _let_13)) :args (_let_20 _let_19 _let_17 _let_16 _let_14 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.53 )
% 0.19/0.53 % SZS output end Proof for SET853-2
% 0.19/0.53 % cvc5---1.0.5 exiting
% 0.19/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------