%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU367+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n015.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 16:31:12 EDT 2023

% Result   : Theorem 29.39s 29.61s
% Output   : Proof 29.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : SEU367+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n015.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   : Thu Aug 24 01:53:50 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 29.39/29.61  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.nP7gYtEPWC/cvc5---1.0.5_5899.p...
% 29.39/29.61  ------- get file name : TPTP file name is SEU367+1
% 29.39/29.61  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_5899.smt2...
% 29.39/29.61  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 29.39/29.61  --- Run --no-e-matching --full-saturate-quant at 5...
% 29.39/29.61  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 29.39/29.61  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 29.39/29.61  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 29.39/29.61  % SZS status Theorem for SEU367+1
% 29.39/29.61  % SZS output start Proof for SEU367+1
% 29.39/29.61  (
% 29.39/29.61  (let ((_let_1 (not (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A)) (forall ((B $$unsorted)) (=> (and (not (tptp.empty_carrier B)) (tptp.net_str B A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (tptp.subset C D) (and (=> (tptp.is_eventually_in A B C) (tptp.is_eventually_in A B D)) (=> (tptp.is_often_in A B C) (tptp.is_often_in A B D)))))))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A)) (forall ((B $$unsorted)) (=> (and (not (tptp.empty_carrier B)) (tptp.net_str B A)) (forall ((C $$unsorted)) (= (tptp.is_often_in A B C) (forall ((D $$unsorted)) (=> (tptp.element D (tptp.the_carrier B)) (exists ((E $$unsorted)) (and (tptp.element E (tptp.the_carrier B)) (tptp.related B D E) (tptp.in (tptp.apply_netmap A B E) C))))))))))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A)) (forall ((B $$unsorted)) (=> (and (not (tptp.empty_carrier B)) (tptp.net_str B A)) (forall ((C $$unsorted)) (= (tptp.is_eventually_in A B C) (exists ((D $$unsorted)) (and (tptp.element D (tptp.the_carrier B)) (forall ((E $$unsorted)) (=> (tptp.element E (tptp.the_carrier B)) (=> (tptp.related B D E) (tptp.in (tptp.apply_netmap A B E) C)))))))))))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.in A B)) (not (tptp.element B (tptp.powerset C))) (not (tptp.empty C)))))) (let ((_let_10 (tptp.empty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.apply_netmap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_220))) (let ((_let_15 (tptp.in _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_13 _let_11))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (not _let_17))) (let ((_let_20 (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_103 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_220))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_23 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_220 _let_22))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_21 _let_16))) (let ((_let_26 (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (not (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_103 E)) (not (tptp.in (tptp.apply_netmap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))))) (let ((_let_27 (not _let_25))) (let ((_let_28 (not _let_26))) (let ((_let_29 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_103 _let_22))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28))) (let ((_let_32 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (not (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (not (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 D E)) (not (tptp.in (tptp.apply_netmap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))))))))) (let ((_let_33 (tptp.is_often_in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_34 (= _let_33 _let_32))) (let ((_let_35 (tptp.net_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.empty_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_38 (tptp.one_sorted_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.empty_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_41 (or _let_40 _let_39 _let_37 _let_36 _let_34))) (let ((_let_42 (forall ((A $$unsorted) (BOUND_VARIABLE_1285 $$unsorted) (BOUND_VARIABLE_1283 $$unsorted)) (or (tptp.empty_carrier A) (not (tptp.one_sorted_str A)) (tptp.empty_carrier BOUND_VARIABLE_1283) (not (tptp.net_str BOUND_VARIABLE_1283 A)) (= (tptp.is_often_in A BOUND_VARIABLE_1283 BOUND_VARIABLE_1285) (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier BOUND_VARIABLE_1283))) (not (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier BOUND_VARIABLE_1283))) (not (tptp.related BOUND_VARIABLE_1283 D E)) (not (tptp.in (tptp.apply_netmap A BOUND_VARIABLE_1283 E) BOUND_VARIABLE_1285)))))))))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (_let_42))) (let ((_let_45 ((tptp.is_often_in A BOUND_VARIABLE_1283 BOUND_VARIABLE_1285)))) (let ((_let_46 (tptp.is_often_in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_47 (not _let_33))) (let ((_let_48 (or _let_47 _let_46))) (let ((_let_49 (tptp.is_eventually_in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_50 (tptp.is_eventually_in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_49))) (let ((_let_53 (and _let_52 _let_48))) (let ((_let_54 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_40 _let_39 _let_37 _let_36 _let_55 _let_53))) (let ((_let_57 (forall ((A $$unsorted) (BOUND_VARIABLE_1654 $$unsorted) (BOUND_VARIABLE_1652 $$unsorted) (BOUND_VARIABLE_1650 $$unsorted)) (or (tptp.empty_carrier A) (not (tptp.one_sorted_str A)) (tptp.empty_carrier BOUND_VARIABLE_1650) (not (tptp.net_str BOUND_VARIABLE_1650 A)) (not (tptp.subset BOUND_VARIABLE_1654 BOUND_VARIABLE_1652)) (and (or (not (tptp.is_eventually_in A BOUND_VARIABLE_1650 BOUND_VARIABLE_1654)) (tptp.is_eventually_in A BOUND_VARIABLE_1650 BOUND_VARIABLE_1652)) (or (not (tptp.is_often_in A BOUND_VARIABLE_1650 BOUND_VARIABLE_1654)) (tptp.is_often_in A BOUND_VARIABLE_1650 BOUND_VARIABLE_1652))))))) (let ((_let_58 (not _let_56))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (or))) (let ((_let_61 (not _let_57))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_59) :args (_let_61))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_57))) (REFL :args (_let_58)) :args _let_60)) _let_59 :args (_let_58 true _let_57)))) (let ((_let_63 (REFL :args (_let_56)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 3)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_60)) :args ((or _let_35 _let_56))) _let_62 :args (_let_35 true _let_56)))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_56 2)) _let_62 :args ((not _let_37) true _let_56)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 1)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_60)) :args ((or _let_38 _let_56))) _let_62 :args (_let_38 true _let_56)))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_56 0)) _let_62 :args ((not _let_40) true _let_56)))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_39 _let_37 _let_36 _let_34 (not _let_41)))) _let_67 _let_66 _let_65 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_44)) _let_43 :args (_let_41 false _let_42)) :args (_let_34 true _let_40 false _let_38 true _let_37 false _let_35 false _let_41)))) (let ((_let_69 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (not (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (not (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 D E)) (tptp.in (tptp.apply_netmap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))))))) (let ((_let_70 (not _let_69))) (let ((_let_71 (= _let_50 _let_70))) (let ((_let_72 (or _let_40 _let_39 _let_37 _let_36 _let_71))) (let ((_let_73 (forall ((A $$unsorted) (BOUND_VARIABLE_1210 $$unsorted) (BOUND_VARIABLE_1208 $$unsorted)) (or (tptp.empty_carrier A) (not (tptp.one_sorted_str A)) (tptp.empty_carrier BOUND_VARIABLE_1208) (not (tptp.net_str BOUND_VARIABLE_1208 A)) (= (tptp.is_eventually_in A BOUND_VARIABLE_1208 BOUND_VARIABLE_1210) (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier BOUND_VARIABLE_1208))) (not (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier BOUND_VARIABLE_1208))) (not (tptp.related BOUND_VARIABLE_1208 D E)) (tptp.in (tptp.apply_netmap A BOUND_VARIABLE_1208 E) BOUND_VARIABLE_1210)))))))))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (_let_73))) (let ((_let_76 ((tptp.is_eventually_in A BOUND_VARIABLE_1208 BOUND_VARIABLE_1210)))) (let ((_let_77 (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (not (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 E)) (tptp.in (tptp.apply_netmap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))))) (let ((_let_78 (not _let_77))) (let ((_let_79 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 _let_22))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_80 _let_78))) (let ((_let_82 (tptp.apply_netmap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44))) (let ((_let_83 (tptp.in _let_82 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_84 (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44))) (let ((_let_85 (not _let_84))) (let ((_let_86 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 _let_22))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_85 _let_83))) (let ((_let_89 (tptp.in _let_82 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_90 (or _let_87 _let_85 _let_89))) (let ((_let_91 (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (not (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 E)) (tptp.in (tptp.apply_netmap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))))) (let ((_let_92 (not _let_91))) (let ((_let_93 (or _let_80 _let_92))) (let ((_let_94 (tptp.apply_netmap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45))) (let ((_let_95 (tptp.in _let_94 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_96 (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45))) (let ((_let_97 (not _let_96))) (let ((_let_98 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45 _let_22))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_97 _let_95))) (let ((_let_101 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (not (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (not (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 D E)) (tptp.in (tptp.apply_netmap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))))))) (let ((_let_102 (not _let_101))) (let ((_let_103 (= _let_49 _let_102))) (let ((_let_104 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (not (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (not (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 D E)) (not (tptp.in (tptp.apply_netmap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))))))))) (let ((_let_105 (= _let_46 _let_104))) (let ((_let_106 (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (not (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 E)) (not (tptp.in (tptp.apply_netmap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_80 _let_107))) (let ((_let_109 (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (not (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_103 E)) (not (tptp.in (tptp.apply_netmap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_30 _let_110))) (let ((_let_112 (or _let_99 _let_97 (not (tptp.in _let_94 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))))) (let ((_let_113 (tptp.in _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_24 _let_21 _let_114))) (let ((_let_116 (not _let_95))) (let ((_let_117 (or _let_99 _let_97 _let_116))) (let ((_let_118 (tptp.element _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_119 (or _let_16 _let_13 _let_118))) (let ((_let_120 (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier 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_let_128 (MACRO_SR_PRED_INTRO :args ((= (not _let_80) _let_79))) :args _let_60)) :args ((or _let_79 _let_81))) :args (_let_81 true _let_124 false _let_127 true _let_126 false _let_10 false _let_122 true _let_120 false _let_118 false _let_119 false _let_12 true _let_113 true _let_117 false _let_15 false _let_20 false _let_23 false _let_95 true _let_25 false _let_96 false _let_98 false _let_115 true _let_26 true _let_112 false _let_109 false _let_29 true _let_106 true _let_111 false _let_31 false _let_108 true _let_104 false _let_105 false _let_32 false _let_34 true _let_46 false _let_33 true _let_48 true _let_53 false _let_52 false _let_49 false _let_103 true _let_101 false _let_100 true _let_93 false _let_91 false _let_90 false _let_88 false _let_77 false _let_79)) :args (_let_69 false _let_81)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_40 _let_39 _let_37 _let_36 _let_71 (not _let_72)))) _let_67 _let_66 _let_65 _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_75)) _let_74 :args (_let_72 false _let_73)) :args (_let_71 true _let_40 false _let_38 true _let_37 false _let_35 false _let_72)) :args (_let_51 false _let_69 false _let_71)) :args (_let_52 true _let_50)) :args ((not _let_48) true _let_53 false _let_52)))) (let ((_let_201 (MACRO_RESOLUTION_TRUST _let_172 (MACRO_RESOLUTION_TRUST _let_165 (MACRO_RESOLUTION_TRUST _let_160 _let_200 :args ((not _let_46) true _let_48)) _let_163 :args (_let_164 true _let_46 false _let_105)) :args (_let_170 true _let_104)))) (let ((_let_202 (MACRO_RESOLUTION_TRUST _let_183 (MACRO_RESOLUTION_TRUST _let_177 (MACRO_RESOLUTION_TRUST _let_174 _let_201 :args (_let_29 true _let_111)) (MACRO_RESOLUTION_TRUST _let_169 (MACRO_RESOLUTION_TRUST _let_161 (MACRO_RESOLUTION_TRUST _let_159 _let_200 :args (_let_33 true _let_48)) _let_68 :args (_let_32 false _let_33 false _let_34)) :args (_let_31 false _let_32)) :args (_let_28 false _let_29 false _let_31)) :args (_let_27 true _let_26)))) (let ((_let_203 (MACRO_RESOLUTION_TRUST _let_187 _let_202 :args (_let_15 true _let_25)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args _let_189) :args _let_147)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_13 _let_11 _let_16 _let_19))) _let_142 (MACRO_RESOLUTION_TRUST _let_194 (MACRO_RESOLUTION_TRUST _let_188 (MACRO_RESOLUTION_TRUST _let_185 _let_202 :args (_let_23 true _let_25)) (MACRO_RESOLUTION_TRUST _let_186 _let_202 :args (_let_20 true _let_25)) (MACRO_RESOLUTION_TRUST _let_180 (MACRO_RESOLUTION_TRUST _let_175 _let_201 :args (_let_109 true _let_111)) :args (_let_115 false _let_109)) :args (_let_114 false _let_23 false _let_20 false _let_115)) (MACRO_RESOLUTION_TRUST _let_191 _let_142 _let_203 _let_190 :args (_let_118 false _let_12 false _let_15 false _let_119)) _let_193 :args (_let_10 true _let_113 false _let_118 false _let_122)) _let_203 :args (_let_19 false _let_12 false _let_10 false _let_15)) _let_18 :args (false true _let_17 false _let_9)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.finite A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.element C (tptp.powerset (tptp.cartesian_product2 A B))) (tptp.relation C))) (forall ((A $$unsorted)) (=> (tptp.finite A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (tptp.finite B))))) _let_8 _let_7 (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A)) (forall ((B $$unsorted)) (=> (and (not (tptp.empty_carrier B)) (tptp.net_str B A)) (forall ((C $$unsorted)) (=> (tptp.element C (tptp.the_carrier B)) (= (tptp.apply_netmap A B C) (tptp.apply_on_structs B A (tptp.the_mapping A B) C)))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.the_carrier B))) (let ((_let_2 (tptp.the_carrier A))) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A) (not (tptp.empty_carrier B)) (tptp.one_sorted_str B) (tptp.function C) (tptp.quasi_total C _let_2 _let_1) (tptp.relation_of2 C _let_2 _let_1) (tptp.element D _let_2)) (tptp.element (tptp.apply_on_structs A B C D) _let_1))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A) (not (tptp.empty_carrier B)) (tptp.net_str B A) (tptp.element C (tptp.the_carrier B))) (tptp.element (tptp.apply_netmap A B C) (tptp.the_carrier A)))) (forall ((A $$unsorted)) (=> (tptp.rel_str A) (tptp.one_sorted_str A))) true (forall ((A $$unsorted)) (=> (tptp.one_sorted_str A) (forall ((B $$unsorted)) (=> (tptp.net_str B A) (tptp.rel_str B))))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.relation_of2_as_subset C A B) (tptp.element C (tptp.powerset (tptp.cartesian_product2 A B))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (let ((_let_2 (tptp.the_carrier B))) (let ((_let_3 (tptp.the_mapping A B))) (=> (and (tptp.one_sorted_str A) (tptp.net_str B A)) (and (tptp.function _let_3) (tptp.quasi_total _let_3 _let_2 _let_1) (tptp.relation_of2_as_subset _let_3 _let_2 _let_1))))))) (exists ((A $$unsorted)) (tptp.rel_str A)) (exists ((A $$unsorted)) (tptp.one_sorted_str A)) (forall ((A $$unsorted)) (=> (tptp.one_sorted_str A) (exists ((B $$unsorted)) (tptp.net_str B A)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.relation_of2 C A B))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.relation_of2_as_subset C A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.finite A) (tptp.finite B)) (tptp.finite (tptp.cartesian_product2 A B)))) (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A)) (not (tptp.empty (tptp.the_carrier A))))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) (tptp.empty tptp.empty_set) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.empty A)) (not (tptp.empty B))) (not (tptp.empty (tptp.cartesian_product2 A B))))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.finite A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)))))) (exists ((A $$unsorted)) (tptp.empty A)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)) (tptp.finite B))))) (exists ((A $$unsorted)) (and (tptp.one_sorted_str A) (not (tptp.empty_carrier A)))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)) (tptp.finite B))))) (forall ((A $$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 $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (let ((_let_2 (tptp.the_carrier B))) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A) (not (tptp.empty_carrier B)) (tptp.one_sorted_str B) (tptp.function C) (tptp.quasi_total C _let_1 _let_2) (tptp.relation_of2 C _let_1 _let_2) (tptp.element D _let_1)) (= (tptp.apply_on_structs A B C D) (tptp.apply C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.relation_of2_as_subset C A B) (tptp.relation_of2 C A B))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) _let_6 _let_5 _let_4 _let_3 (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) _let_2 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 29.45/29.62  )
% 29.45/29.62  % SZS output end Proof for SEU367+1
% 29.45/29.62  % cvc5---1.0.5 exiting
% 29.45/29.62  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------