TSTP Solution File: SEU315+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU315+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 16:30:51 EDT 2023
% Result : Theorem 65.04s 65.21s
% Output : Proof 65.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU315+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Aug 23 14:59:18 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 65.04/65.21 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.e5tcxly6b5/cvc5---1.0.5_22811.p...
% 65.04/65.21 ------- get file name : TPTP file name is SEU315+1
% 65.04/65.21 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22811.smt2...
% 65.04/65.21 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 65.04/65.21 --- Run --no-e-matching --full-saturate-quant at 5...
% 65.04/65.21 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 65.04/65.21 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 65.04/65.21 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 65.04/65.21 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 65.04/65.21 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 65.04/65.21 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 65.04/65.21 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 65.04/65.21 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 65.04/65.21 --- Run --relevant-triggers --full-saturate-quant at 5...
% 65.04/65.21 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 65.04/65.21 % SZS status Theorem for SEU315+1
% 65.04/65.21 % SZS output start Proof for SEU315+1
% 65.04/65.21 (
% 65.04/65.21 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))) (tptp.element A (tptp.powerset B)))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.element B A))) (let ((_let_2 (tptp.empty A))) (and (=> (not _let_2) (= _let_1 (tptp.in B A))) (=> _let_2 (= _let_1 (tptp.empty B))))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.topological_space A) (tptp.top_str A) (tptp.element B (tptp.powerset (tptp.the_carrier A)))) (exists ((C $$unsorted)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D (tptp.powerset (tptp.the_carrier A))) (exists ((E $$unsorted)) (and (tptp.element E (tptp.powerset (tptp.the_carrier A))) (= E D) (tptp.closed_subset E A) (tptp.subset B D))))))))))) (let ((_let_4 (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))))) (let ((_let_5 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.topological_space A) (tptp.top_str A) (tptp.element B (tptp.powerset (tptp.the_carrier A)))) (exists ((C $$unsorted)) (and (tptp.element C (tptp.powerset (tptp.powerset (tptp.the_carrier A)))) (forall ((D $$unsorted)) (=> (tptp.element D (tptp.powerset (tptp.the_carrier A))) (= (tptp.in D C) (exists ((E $$unsorted)) (and (tptp.element E (tptp.powerset (tptp.the_carrier A))) (= E D) (tptp.closed_subset E A) (tptp.subset B D))))))))))))) (let ((_let_6 (io_tptp.the_carrier_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_7 (io_tptp.powerset_3 _let_6))) (let ((_let_8 (io_tptp.empty_13 _let_7))) (let ((_let_9 (io_tptp.in_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_166 _let_7))) (let ((_let_10 (io_tptp.element_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_166 _let_7))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (or _let_8 _let_11))) (let ((_let_13 (forall ((b_A it_3_$$unsorted)) (not (io_tptp.empty_13 (io_tptp.powerset_3 b_A)))))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_4)) (PREPROCESS :args ((= _let_4 _let_13)))))) (let ((_let_15 (not _let_11))) (let ((_let_16 (io_tptp.closed_subset_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_166 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_17 (io_tptp.subset_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_166))) (let ((_let_18 (and _let_9 _let_17 _let_10 _let_16))) (let ((_let_19 (not _let_9))) (let ((_let_20 (io_tptp.in_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_166 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65))) (let ((_let_21 (= _let_20 _let_18))) (let ((_let_22 (not _let_18))) (let ((_let_23 (forall ((b_D it_3_$$unsorted)) (let ((_let_1 (io_tptp.powerset_3 (io_tptp.the_carrier_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21)))) (= (and (io_tptp.in_5 b_D _let_1) (io_tptp.subset_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 b_D) (io_tptp.element_4 b_D _let_1) (io_tptp.closed_subset_7 b_D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21)) (io_tptp.in_5 b_D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65)))))) (let ((_let_24 (forall ((b_C it_3_$$unsorted)) (not (forall ((b_D it_3_$$unsorted)) (let ((_let_1 (io_tptp.powerset_3 (io_tptp.the_carrier_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21)))) (= (io_tptp.in_5 b_D b_C) (and (io_tptp.in_5 b_D _let_1) (io_tptp.subset_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 b_D) (io_tptp.element_4 b_D _let_1) (io_tptp.closed_subset_7 b_D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))))))))) (let ((_let_25 (not _let_24))) (let ((_let_26 (io_tptp.element_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 _let_7))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.top_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.topological_space SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_29 _let_27 _let_25))) (let ((_let_33 (forall ((A $$unsorted) (b_B it_3_$$unsorted)) (or (not (tptp.topological_space A)) (not (tptp.top_str A)) (not (io_tptp.element_4 b_B (io_tptp.powerset_3 (io_tptp.the_carrier_2 A)))) (not (forall ((b_C it_3_$$unsorted)) (not (forall ((b_D it_3_$$unsorted)) (let ((_let_1 (io_tptp.powerset_3 (io_tptp.the_carrier_2 A)))) (= (io_tptp.in_5 b_D b_C) (and (io_tptp.in_5 b_D _let_1) (io_tptp.subset_6 b_B b_D) (io_tptp.element_4 b_D _let_1) (io_tptp.closed_subset_7 b_D A)))))))))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.topological_space A)) (not (tptp.top_str A)) (not (tptp.element B (tptp.powerset (tptp.the_carrier A)))) (not (forall ((C $$unsorted)) (not (forall ((D $$unsorted)) (let ((_let_1 (tptp.powerset (tptp.the_carrier A)))) (= (tptp.in D C) (and (tptp.in D _let_1) (tptp.subset B D) (tptp.element D _let_1) (tptp.closed_subset D A)))))))))) _let_33))))))) (let ((_let_35 (forall ((b_C it_3_$$unsorted)) (or (not (io_tptp.element_4 b_C (io_tptp.powerset_3 (io_tptp.powerset_3 (io_tptp.the_carrier_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))))) (not (forall ((b_D it_3_$$unsorted)) (let ((_let_1 (io_tptp.element_4 b_D (io_tptp.powerset_3 (io_tptp.the_carrier_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))))) (or (not _let_1) (= (io_tptp.in_5 b_D b_C) (and (io_tptp.subset_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 b_D) _let_1 (io_tptp.closed_subset_7 b_D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))))))))))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_31 _let_29 _let_27 _let_36))) (let ((_let_38 (forall ((A $$unsorted) (b_B it_3_$$unsorted)) (or (not (tptp.topological_space A)) (not (tptp.top_str A)) (not (io_tptp.element_4 b_B (io_tptp.powerset_3 (io_tptp.the_carrier_2 A)))) (not (forall ((b_C it_3_$$unsorted)) (or (not (io_tptp.element_4 b_C (io_tptp.powerset_3 (io_tptp.powerset_3 (io_tptp.the_carrier_2 A))))) (not (forall ((b_D it_3_$$unsorted)) (let ((_let_1 (io_tptp.element_4 b_D (io_tptp.powerset_3 (io_tptp.the_carrier_2 A))))) (or (not _let_1) (= (io_tptp.in_5 b_D b_C) (and (io_tptp.subset_6 b_B b_D) _let_1 (io_tptp.closed_subset_7 b_D A)))))))))))))) (let ((_let_39 (not _let_37))) (let ((_let_40 (not _let_38))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_5)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.topological_space A)) (not (tptp.top_str A)) (not (tptp.element B (tptp.powerset (tptp.the_carrier A)))) (not (forall ((C $$unsorted)) (or (not (tptp.element C (tptp.powerset (tptp.powerset (tptp.the_carrier A))))) (not (forall ((D $$unsorted)) (let ((_let_1 (tptp.element D (tptp.powerset (tptp.the_carrier A))))) (or (not _let_1) (= (tptp.in D C) (and (tptp.subset B D) _let_1 (tptp.closed_subset D A))))))))))))) _let_40))))))) (let ((_let_42 (or))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_41) :args (_let_40))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_38))) (REFL :args (_let_39)) :args _let_42)) _let_41 :args (_let_39 true _let_38)))) (let ((_let_44 (REFL :args (_let_37)))) (let ((_let_45 (_let_23))) (let ((_let_46 (_let_25))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_46)) :args _let_46) (REWRITE :args ((=> _let_25 (not (not (forall ((b_D it_3_$$unsorted)) (let ((_let_1 (io_tptp.powerset_3 (io_tptp.the_carrier_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21)))) (= (io_tptp.in_5 b_D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65) (and (io_tptp.in_5 b_D _let_1) (io_tptp.subset_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 b_D) (io_tptp.element_4 b_D _let_1) (io_tptp.closed_subset_7 b_D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21)))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) (REFL :args _let_45) :args _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_31 _let_29 _let_27 _let_25 (not _let_32)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 0)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_42)) :args ((or _let_30 _let_37))) _let_43 :args (_let_30 true _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 1)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_42)) :args ((or _let_28 _let_37))) _let_43 :args (_let_28 true _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 2)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_42)) :args ((or _let_26 _let_37))) _let_43 :args (_let_26 true _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING ((not (= (io_tptp.element_4 b_B (io_tptp.powerset_3 (io_tptp.the_carrier_2 A))) false))))) :args (_let_33))) _let_34 :args (_let_32 false _let_33)) :args (_let_25 false _let_30 false _let_28 false _let_26 false _let_32)) :args (_let_23 true _let_24)))) (let ((_let_48 (ASSUME :args _let_45))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_166 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_45))) _let_47 :args (_let_21 false _let_23)))) (let ((_let_50 (and _let_17 _let_10 _let_16))) (let ((_let_51 (= _let_50 _let_20))) (let ((_let_52 (not _let_20))) (let ((_let_53 (not _let_50))) (let ((_let_54 (not _let_10))) (let ((_let_55 (or _let_54 _let_51))) (let ((_let_56 (forall ((b_D it_3_$$unsorted)) (let ((_let_1 (io_tptp.element_4 b_D (io_tptp.powerset_3 (io_tptp.the_carrier_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))))) (or (not _let_1) (= (and (io_tptp.subset_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 b_D) _let_1 (io_tptp.closed_subset_7 b_D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21)) (io_tptp.in_5 b_D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65))))))) (let ((_let_57 (not _let_55))) (let ((_let_58 (not _let_56))) (let ((_let_59 (io_tptp.element_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 (io_tptp.powerset_3 _let_7)))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_58))) (let ((_let_62 (_let_35))) (let ((_let_63 (forall ((b_C it_3_$$unsorted)) (or (not (io_tptp.in_5 b_C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65)) (io_tptp.in_5 b_C (io_tptp.powerset_3 (io_tptp.the_carrier_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))))))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_59))) (let ((_let_66 (forall ((b_A it_3_$$unsorted) (b_B it_3_$$unsorted)) (or (not (forall ((b_C it_3_$$unsorted)) (or (not (io_tptp.in_5 b_C b_A)) (io_tptp.in_5 b_C b_B)))) (io_tptp.element_4 b_A (io_tptp.powerset_3 b_B)))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((A $$unsorted) (B $$unsorted)) (or (not (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B)))) (tptp.element A (tptp.powerset B)))) _let_66))))))) (let ((_let_68 (io_tptp.in_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_165 _let_7))) (let ((_let_69 (io_tptp.in_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_165 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_68))) (let ((_let_72 (and _let_68 (io_tptp.subset_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_165) (io_tptp.element_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_165 _let_7) (io_tptp.closed_subset_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_165 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21)))) (let ((_let_73 (= _let_69 _let_72))) (let ((_let_74 (_let_64))) (let ((_let_75 (_let_58))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_75)) :args _let_75)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_56))) (REFL :args (_let_57)) :args _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_60 _let_58 (not _let_61)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_59 _let_64 (not _let_65)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_74)) :args _let_74)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_63))) (REFL :args ((not _let_71))) :args _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_72 0)) :args ((or _let_68 (not _let_72)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_73)) :args ((or _let_70 _let_72 (not _let_73)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_165 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_45))) _let_47 :args (_let_73 false _let_23)) (CNF_OR_NEG :args (_let_71 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_71 0)) (CONG (REFL :args (_let_71)) (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_69))) :args _let_42)) :args ((or _let_69 _let_71))) :args (_let_71 false _let_72 false _let_73 true _let_68 false _let_69)) :args (_let_63 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 _let_7 QUANTIFIERS_INST_E_MATCHING ((not (= (io_tptp.element_4 b_A (io_tptp.powerset_3 b_B)) true))))) :args (_let_66))) _let_67 :args (_let_65 false _let_66)) :args (_let_59 false _let_63 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_62) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_62))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 3)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_42)) :args ((or _let_35 _let_37))) _let_43 :args (_let_35 true _let_37)) :args (_let_61 false _let_35)) :args (_let_58 false _let_59 false _let_61)) :args (_let_57 true _let_56)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_55 1)) _let_76 :args ((not _let_51) true _let_55)))) (let ((_let_78 (_let_51))) (let ((_let_79 (REORDERING (CNF_EQUIV_NEG1 :args _let_78) :args ((or _let_50 _let_20 _let_51))))) (let ((_let_80 (not _let_21))) (let ((_let_81 (_let_21))) (let ((_let_82 (REORDERING (CNF_EQUIV_POS1 :args _let_81) :args ((or _let_52 _let_18 _let_80))))) (let ((_let_83 (MACRO_RESOLUTION_TRUST _let_82 _let_49 _let_79 _let_77 (REORDERING (CNF_AND_POS :args (_let_18 3)) :args ((or _let_16 _let_22))) (REORDERING (CNF_AND_POS :args (_let_50 2)) :args ((or _let_16 _let_53))) :args (_let_16 false _let_21 false _let_20 true _let_51 true _let_18 true _let_50)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST _let_82 _let_49 _let_79 _let_77 (REORDERING (CNF_AND_POS :args (_let_18 1)) :args ((or _let_17 _let_22))) (REORDERING (CNF_AND_POS :args (_let_50 0)) :args ((or _let_17 _let_53))) :args (_let_17 false _let_21 false _let_20 true _let_51 true _let_18 true _let_50)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 0)) (CONG (REFL :args (_let_55)) (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_10))) :args _let_42)) :args ((or _let_10 _let_55))) _let_76 :args (_let_10 true _let_55)))) (let ((_let_86 (not _let_16))) (let ((_let_87 (not _let_17))) (let ((_let_88 (forall ((b_BOUND_VARIABLE_1396 it_3_$$unsorted) (b_BOUND_VARIABLE_1398 it_3_$$unsorted)) (or (io_tptp.empty_13 b_BOUND_VARIABLE_1396) (= (io_tptp.element_4 b_BOUND_VARIABLE_1398 b_BOUND_VARIABLE_1396) (io_tptp.in_5 b_BOUND_VARIABLE_1398 b_BOUND_VARIABLE_1396)))))) (let ((_let_89 (_let_88))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_8 _let_11 (not _let_12)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_89) :args (_let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_166 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_89)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (and (forall ((BOUND_VARIABLE_1396 $$unsorted) (BOUND_VARIABLE_1398 $$unsorted)) (or (tptp.empty BOUND_VARIABLE_1396) (= (tptp.element BOUND_VARIABLE_1398 BOUND_VARIABLE_1396) (tptp.in BOUND_VARIABLE_1398 BOUND_VARIABLE_1396)))) (forall ((BOUND_VARIABLE_1407 $$unsorted) (BOUND_VARIABLE_1409 $$unsorted)) (or (not (tptp.empty BOUND_VARIABLE_1407)) (= (tptp.element BOUND_VARIABLE_1409 BOUND_VARIABLE_1407) (tptp.empty BOUND_VARIABLE_1409))))) (and _let_88 (forall ((b_BOUND_VARIABLE_1407 it_3_$$unsorted) (b_BOUND_VARIABLE_1409 it_3_$$unsorted)) (or (not (io_tptp.empty_13 b_BOUND_VARIABLE_1407)) (= (io_tptp.element_4 b_BOUND_VARIABLE_1409 b_BOUND_VARIABLE_1407) (io_tptp.empty_13 b_BOUND_VARIABLE_1409)))))))))) :args (0)) :args (_let_12 false _let_88)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_11)) :args ((or _let_54 _let_9 _let_15))) _let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_18)) :args ((or _let_54 _let_87 _let_86 _let_18 _let_19))) _let_85 _let_84 _let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_81) :args ((or _let_20 _let_22 _let_80))) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_78) _let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_50)) :args ((or _let_54 _let_50 _let_87 _let_86))) _let_85 _let_84 _let_83 :args (_let_50 false _let_10 false _let_17 false _let_16)) :args (_let_52 true _let_51 false _let_50)) _let_49 :args (_let_22 true _let_20 false _let_21)) :args (_let_19 false _let_10 false _let_17 false _let_16 true _let_18)) :args (_let_15 false _let_10 true _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (_let_6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_13))) _let_14 :args ((not _let_8) false _let_13)) :args (false false _let_12 true _let_11 true _let_8)) :args (_let_5 (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (tptp.v4_membered A))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (tptp.v3_membered A))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (tptp.v2_membered A))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (tptp.v1_membered A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.element B A) (tptp.v1_xcmplx_0 B))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.element B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.element B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B) (tptp.v1_rat_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.element B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B) (tptp.v1_int_1 B) (tptp.v1_rat_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.element B A) (and (tptp.v1_xcmplx_0 B) (tptp.natural B) (tptp.v1_xreal_0 B) (tptp.v1_int_1 B) (tptp.v1_rat_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (tptp.v1_membered B))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (and (tptp.v1_membered B) (tptp.v2_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B)))))) true (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (and (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) true (forall ((A $$unsorted)) (=> (tptp.top_str A) (tptp.one_sorted_str A))) true true (forall ((A $$unsorted)) (=> (and (tptp.topological_space A) (tptp.top_str A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset (tptp.the_carrier A))) (tptp.closed_subset B A))))) _let_4 _let_3 _let_2 true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (tptp.empty tptp.empty_set) _let_1 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 65.04/65.22 )
% 65.04/65.22 % SZS output end Proof for SEU315+1
% 65.04/65.22 % cvc5---1.0.5 exiting
% 65.04/65.22 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------