TSTP Solution File: SEU322+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU322+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 16:30:54 EDT 2023
% Result : Theorem 0.21s 0.73s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU322+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 20:34:04 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.73 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.HeEY1i7ZQQ/cvc5---1.0.5_18888.p...
% 0.21/0.73 ------- get file name : TPTP file name is SEU322+1
% 0.21/0.73 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18888.smt2...
% 0.21/0.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.73 % SZS status Theorem for SEU322+1
% 0.21/0.73 % SZS output start Proof for SEU322+1
% 0.21/0.73 (
% 0.21/0.73 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.element C (tptp.powerset A)) (not (and (tptp.in B (tptp.subset_complement A C)) (tptp.in B C))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.top_str A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset (tptp.the_carrier A))) (tptp.subset B (tptp.topstr_closure A B)))))))) (let ((_let_5 (not (forall ((A $$unsorted)) (=> (tptp.top_str A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset (tptp.the_carrier A))) (tptp.subset (tptp.interior A B) B)))))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A)) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset (tptp.the_carrier A))) (forall ((C $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (=> (tptp.element C _let_1) (= (tptp.in C (tptp.subset_complement _let_1 B)) (not (tptp.in C B)))))))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (= (tptp.subset_complement A (tptp.subset_complement A B)) B))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (tptp.top_str A) (tptp.one_sorted_str A))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.powerset (tptp.the_carrier A)))) (=> (and (tptp.top_str A) (tptp.element B _let_1)) (tptp.element (tptp.topstr_closure A B) _let_1)))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.powerset A))) (=> (tptp.element B _let_1) (tptp.element (tptp.subset_complement A B) _let_1)))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.powerset (tptp.the_carrier A)))) (=> (and (tptp.top_str A) (tptp.element B _let_1)) (tptp.element (tptp.interior A B) _let_1)))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_13 (forall ((A $$unsorted)) (=> (tptp.top_str A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (=> (tptp.element B (tptp.powerset _let_1)) (= (tptp.interior A B) (tptp.subset_complement _let_1 (tptp.topstr_closure A (tptp.subset_complement _let_1 B))))))))))) (let ((_let_14 (forall ((A $$unsorted)) (=> (tptp.one_sorted_str A) (= (tptp.empty_carrier A) (tptp.empty (tptp.the_carrier A))))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.in A B)) (not (tptp.element B (tptp.powerset C))) (not (tptp.empty C)))))) (let ((_let_16 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_17 (tptp.empty _let_16))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.powerset _let_16))) (let ((_let_20 (tptp.interior SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_21 (tptp.element _let_20 _let_19))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_20))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_22 _let_18))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (not _let_25))) (let ((_let_28 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_29 (or _let_24 _let_28))) (let ((_let_30 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.interior SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) (let ((_let_31 (not _let_29))) (let ((_let_32 (tptp.subset _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_33 (= _let_32 _let_30))) (let ((_let_34 (not _let_30))) (let ((_let_35 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (_let_35))) (let ((_let_38 ((tptp.subset A B)))) (let ((_let_39 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_19))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.top_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_40 _let_32))) (let ((_let_44 (forall ((A $$unsorted) (BOUND_VARIABLE_1520 $$unsorted)) (or (not (tptp.top_str A)) (not (tptp.element BOUND_VARIABLE_1520 (tptp.powerset (tptp.the_carrier A)))) (tptp.subset (tptp.interior A BOUND_VARIABLE_1520) BOUND_VARIABLE_1520))))) (let ((_let_45 (not _let_43))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (or))) (let ((_let_48 (not _let_44))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_46) :args (_let_48))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_44))) (REFL :args (_let_45)) :args _let_47)) _let_46 :args (_let_45 true _let_44)))) (let ((_let_50 (_let_34))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_50)) :args _let_50)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_30))) (REFL :args (_let_31)) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_33)) :args ((or _let_32 _let_34 (not _let_33)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_43 2)) _let_49 :args ((not _let_32) true _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37)) _let_36 :args (_let_33 false _let_35)) :args (_let_34 true _let_32 false _let_33)) :args (_let_31 true _let_30)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 0)) (CONG (REFL :args (_let_29)) (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_47)) :args ((or _let_23 _let_29))) _let_51 :args (_let_23 true _let_29)))) (let ((_let_53 (or _let_42 _let_40 _let_21))) (let ((_let_54 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.powerset (tptp.the_carrier A)))) (or (not (tptp.top_str A)) (not (tptp.element B _let_1)) (tptp.element (tptp.interior A B) _let_1)))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (REFL :args (_let_43)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 1)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_47)) :args ((or _let_39 _let_43))) _let_49 :args (_let_39 true _let_43)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 0)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_47)) :args ((or _let_41 _let_43))) _let_49 :args (_let_41 true _let_43)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_42 _let_40 _let_21 (not _let_53)))) _let_58 _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.interior A B)))) :args (_let_54))) _let_55 :args (_let_53 false _let_54)) :args (_let_21 false _let_41 false _let_39 false _let_53)))) (let ((_let_60 (tptp.empty_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_61 (= _let_60 _let_17))) (let ((_let_62 (tptp.one_sorted_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_63 _let_61))) (let ((_let_65 (forall ((A $$unsorted)) (or (not (tptp.one_sorted_str A)) (= (tptp.empty_carrier A) (tptp.empty (tptp.the_carrier A))))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (or _let_42 _let_62))) (let ((_let_68 (forall ((A $$unsorted)) (or (not (tptp.top_str A)) (tptp.one_sorted_str A))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_42 _let_62 (not _let_67)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.top_str A) false))))) :args (_let_68))) _let_69 :args (_let_67 false _let_68)) :args (_let_62 false _let_41 false _let_67)))) (let ((_let_71 (tptp.subset_complement _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_72 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_71))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.subset_complement _let_16 _let_71))) (let ((_let_75 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_74))) (let ((_let_76 (= _let_75 _let_73))) (let ((_let_77 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_16))) (let ((_let_78 (not _let_77))) (let ((_let_79 (tptp.element _let_71 _let_19))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_60 _let_63 _let_80 _let_78 _let_76))) (let ((_let_82 (forall ((A $$unsorted) (BOUND_VARIABLE_1448 $$unsorted) (BOUND_VARIABLE_1446 $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (tptp.empty_carrier A) (not (tptp.one_sorted_str A)) (not (tptp.element BOUND_VARIABLE_1446 (tptp.powerset _let_1))) (not (tptp.element BOUND_VARIABLE_1448 _let_1)) (= (tptp.in BOUND_VARIABLE_1448 (tptp.subset_complement _let_1 BOUND_VARIABLE_1446)) (not (tptp.in BOUND_VARIABLE_1448 BOUND_VARIABLE_1446)))))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (not _let_76))) (let ((_let_85 (tptp.topstr_closure SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_71))) (let ((_let_86 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_85))) (let ((_let_87 (or _let_73 _let_86))) (let ((_let_88 (forall ((C $$unsorted)) (let ((_let_1 (tptp.subset_complement (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (or (not (tptp.in C _let_1)) (tptp.in C (tptp.topstr_closure SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_1))))))) (let ((_let_89 (tptp.subset _let_71 _let_85))) (let ((_let_90 (= _let_89 _let_88))) (let ((_let_91 (or _let_42 _let_80 _let_89))) (let ((_let_92 (forall ((A $$unsorted) (BOUND_VARIABLE_1542 $$unsorted)) (or (not (tptp.top_str A)) (not (tptp.element BOUND_VARIABLE_1542 (tptp.powerset (tptp.the_carrier A)))) (tptp.subset BOUND_VARIABLE_1542 (tptp.topstr_closure A BOUND_VARIABLE_1542)))))) (let ((_let_93 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_94 (or _let_40 _let_79))) (let ((_let_95 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.powerset A))) (or (not (tptp.element B _let_1)) (tptp.element (tptp.subset_complement A B) _let_1)))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_40 _let_79 (not _let_94)))) _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset_complement A B)))) :args (_let_95))) _let_96 :args (_let_94 false _let_95)) :args (_let_79 false _let_39 false _let_94)))) (let ((_let_98 (_let_88))) (let ((_let_99 (not _let_86))) (let ((_let_100 (tptp.subset_complement _let_16 _let_85))) (let ((_let_101 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_100))) (let ((_let_102 (not _let_101))) (let ((_let_103 (tptp.element _let_85 _let_19))) (let ((_let_104 (not _let_103))) (let ((_let_105 (or _let_104 _let_102 _let_99))) (let ((_let_106 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.element C (tptp.powerset A))) (not (tptp.in B (tptp.subset_complement A C))) (not (tptp.in B C)))))) (let ((_let_107 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_108 (= _let_20 _let_100))) (let ((_let_109 (or _let_42 _let_40 _let_108))) (let ((_let_110 (forall ((A $$unsorted) (BOUND_VARIABLE_1347 $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.top_str A)) (not (tptp.element BOUND_VARIABLE_1347 (tptp.powerset _let_1))) (= (tptp.interior A BOUND_VARIABLE_1347) (tptp.subset_complement _let_1 (tptp.topstr_closure A (tptp.subset_complement _let_1 BOUND_VARIABLE_1347))))))))) (let ((_let_111 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (and _let_108 _let_23))) (let ((_let_113 (ASSUME :args (_let_23)))) (let ((_let_114 (APPLY_UF tptp.in))) (let ((_let_115 (ASSUME :args (_let_108)))) (let ((_let_116 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))) (let ((_let_117 (or _let_42 _let_80 _let_103))) (let ((_let_118 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.powerset (tptp.the_carrier A)))) (or (not (tptp.top_str A)) (not (tptp.element B _let_1)) (tptp.element (tptp.topstr_closure A B) _let_1)))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_74))) (let ((_let_121 (not _let_75))) (let ((_let_122 (not _let_28))) (let ((_let_123 (or _let_40 _let_120))) (let ((_let_124 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.element B (tptp.powerset A))) (= B (tptp.subset_complement A (tptp.subset_complement A B))))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (and _let_120 _let_122))) (let ((_let_127 (ASSUME :args (_let_122)))) (let ((_let_128 (ASSUME :args (_let_120)))) (let ((_let_129 (or _let_24 _let_22 _let_77))) (let ((_let_130 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.in A B)) (not (tptp.element B (tptp.powerset C))) (tptp.element A C))))) (let ((_let_131 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_20 _let_16 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element B (tptp.powerset C)) false)) (not (= (tptp.in A B) false))))) :args (_let_15))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_18 _let_22 _let_24 _let_27))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_61)) :args ((or _let_17 (not _let_60) (not _let_61)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_63 _let_60 _let_80 _let_78 _let_76 (not _let_81)))) _let_70 _let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_22 _let_24 _let_77 (not _let_129)))) _let_59 _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_20 _let_16 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.in A B) false)) (tptp.powerset C)))) :args (_let_130))) _let_131 :args (_let_129 false _let_130)) :args (_let_77 false _let_21 false _let_23 false _let_129)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_76)) (CONG (REFL :args (_let_84)) (REFL :args (_let_75)) (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_72))) :args _let_47)) :args ((or _let_75 _let_72 _let_84))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_126)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_127 _let_128) (SCOPE (FALSE_ELIM (TRANS (CONG _let_116 (SYMM _let_128) :args _let_114) (FALSE_INTRO _let_127))) :args (_let_122 _let_120))) :args (_let_120 _let_122))) :args (true _let_126)) (CONG (REFL :args ((not _let_120))) (MACRO_SR_PRED_INTRO :args ((= (not _let_122) _let_28))) (REFL :args (_let_121)) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_40 _let_120 (not _let_123)))) _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element B (tptp.powerset A)) false))))) :args (_let_124))) _let_125 :args (_let_123 false _let_124)) :args (_let_120 false _let_39 false _let_123)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_29 1)) _let_51 :args (_let_122 true _let_29)) :args (_let_121 false _let_120 true _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_86 _let_73 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_104 _let_99 _let_102 (not _let_105)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_42 _let_80 _let_103 (not _let_117)))) _let_58 _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_71 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.topstr_closure A B)))) :args (_let_118))) _let_119 :args (_let_117 false _let_118)) :args (_let_103 false _let_41 false _let_79 false _let_117)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_112)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_113 _let_115) (SCOPE (TRUE_ELIM (TRANS (CONG _let_116 (SYMM _let_115) :args _let_114) (TRUE_INTRO _let_113))) :args (_let_23 _let_108))) :args (_let_108 _let_23))) :args (true _let_112)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_42 _let_40 _let_108 (not _let_109)))) _let_58 _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element BOUND_VARIABLE_1347 (tptp.powerset (tptp.the_carrier A))) false))))) :args (_let_110))) _let_111 :args (_let_109 false _let_110)) :args (_let_108 false _let_41 false _let_39 false _let_109)) _let_52 :args (_let_101 false _let_108 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_85 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.in B (tptp.subset_complement A C)) false))))) :args (_let_106))) _let_107 :args (_let_105 false _let_106)) :args (_let_99 false _let_103 false _let_101 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_98) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in C _let_71) false))))) :args _let_98)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_90)) :args ((or (not _let_89) _let_88 (not _let_90)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_42 _let_80 _let_89 (not _let_91)))) _let_58 _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_71 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.topstr_closure A BOUND_VARIABLE_1542)))) :args (_let_92))) _let_93 :args (_let_91 false _let_92)) :args (_let_89 false _let_41 false _let_79 false _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_71 _let_85 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37)) _let_36 :args (_let_90 false _let_35)) :args (_let_88 false _let_89 false _let_90)) :args (_let_87 false _let_88)) :args (_let_73 true _let_86 false _let_87)) :args (_let_84 true _let_75 true _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_71 QUANTIFIERS_INST_E_MATCHING ((tptp.in BOUND_VARIABLE_1448 (tptp.subset_complement (tptp.the_carrier A) BOUND_VARIABLE_1446))))) :args (_let_82))) _let_83 :args (_let_81 false _let_82)) :args (_let_60 false _let_62 false _let_79 false _let_77 true _let_76 false _let_81)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_63 _let_61 (not _let_64)))) _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.the_carrier A)))) :args (_let_65))) _let_66 :args (_let_64 false _let_65)) :args (_let_61 false _let_62 false _let_64)) :args (_let_17 false _let_60 false _let_61)) _let_59 _let_52 :args (_let_27 false _let_17 false _let_21 false _let_23)) _let_26 :args (false true _let_25 false _let_15)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B 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 $$unsorted)) (=> (tptp.empty A) (and (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A)))) (forall ((A $$unsorted)) (=> (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) (tptp.v4_membered A))) (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)))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (tptp.v3_membered A))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (tptp.v2_membered A))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (tptp.v1_membered A))) _let_14 _let_13 _let_12 _let_11 true true _let_10 _let_9 _let_8 true true true (exists ((A $$unsorted)) (tptp.top_str A)) (exists ((A $$unsorted)) (tptp.one_sorted_str A)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A)) (not (tptp.empty (tptp.the_carrier A))))) (and (tptp.empty tptp.empty_set) (tptp.v1_membered tptp.empty_set) (tptp.v2_membered tptp.empty_set) (tptp.v3_membered tptp.empty_set) (tptp.v4_membered tptp.empty_set) (tptp.v5_membered tptp.empty_set)) _let_7 _let_6 (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A))) (exists ((A $$unsorted)) (and (tptp.one_sorted_str A) (not (tptp.empty_carrier A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset (tptp.the_carrier A))) (not (tptp.empty B)))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) _let_5 _let_4 _let_3 _let_2 _let_1 (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.74 )
% 0.21/0.74 % SZS output end Proof for SEU322+1
% 0.21/0.74 % cvc5---1.0.5 exiting
% 0.21/0.74 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------