%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU351+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.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 16:31:06 EDT 2023

% Result   : Theorem 0.82s 1.04s
% Output   : Proof 0.82s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU351+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Wed Aug 23 18:07:24 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.82/1.04  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.xtFYy0TYF2/cvc5---1.0.5_3969.p...
% 0.82/1.04  ------- get file name : TPTP file name is SEU351+1
% 0.82/1.04  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3969.smt2...
% 0.82/1.04  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.82/1.04  % SZS status Theorem for SEU351+1
% 0.82/1.04  % SZS output start Proof for SEU351+1
% 0.82/1.04  (
% 0.82/1.04  (let ((_let_1 (not (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.lattice A) (tptp.complete_latt_str A) (tptp.latt_str A)) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.the_carrier A)) (forall ((C $$unsorted)) (= (= B (tptp.meet_of_latt_set A C)) (and (tptp.latt_set_smaller A B C) (forall ((D $$unsorted)) (=> (tptp.element D (tptp.the_carrier A)) (=> (tptp.latt_set_smaller A D C) (tptp.below_refl A D B)))))))))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (=> (and (not (tptp.empty_carrier A)) (tptp.meet_commutative A) (tptp.meet_absorbing A) (tptp.join_absorbing A) (tptp.latt_str A) (tptp.element B _let_1) (tptp.element C _let_1)) (= (tptp.below_refl A B C) (tptp.below A B C))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.empty_carrier B)) (tptp.latt_str B)) (= (tptp.in A (tptp.a_2_2_lattice3 B C)) (exists ((D $$unsorted)) (and (tptp.element D (tptp.the_carrier B)) (= A D) (tptp.latt_set_smaller B D C)))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.latt_str A)) (tptp.element (tptp.meet_of_latt_set A B) (tptp.the_carrier A)))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.latt_str A)) (forall ((B $$unsorted)) (= (tptp.meet_of_latt_set A B) (tptp.join_of_latt_set A (tptp.a_2_2_lattice3 A B)))))))) (let ((_let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.latt_str A))) (let ((_let_2 (not (tptp.empty_carrier A)))) (=> (and _let_2 _let_1) (=> (and _let_2 (tptp.lattice A) (tptp.complete_latt_str A) _let_1) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.element C (tptp.the_carrier A)) (= (= C (tptp.join_of_latt_set A B)) (and (tptp.latt_element_smaller A C B) (forall ((D $$unsorted)) (=> (tptp.element D (tptp.the_carrier A)) (=> (tptp.latt_element_smaller A D B) (tptp.below A C D))))))))))))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.latt_str A)) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.the_carrier A)) (forall ((C $$unsorted)) (= (tptp.latt_element_smaller A B C) (forall ((D $$unsorted)) (=> (tptp.element D (tptp.the_carrier A)) (=> (tptp.in D C) (tptp.below A D B)))))))))))) (let ((_let_8 (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.latt_str A)) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.the_carrier A)) (forall ((C $$unsorted)) (= (tptp.latt_set_smaller A B C) (forall ((D $$unsorted)) (=> (tptp.element D (tptp.the_carrier A)) (=> (tptp.in D C) (tptp.below A B D)))))))))))) (let ((_let_9 (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.empty_carrier A)))) (=> (tptp.latt_str A) (=> (and _let_1 (tptp.lattice A)) (and _let_1 (tptp.join_commutative A) (tptp.join_associative A) (tptp.meet_commutative A) (tptp.meet_associative A) (tptp.meet_absorbing A) (tptp.join_absorbing A)))))))) (let ((_let_10 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (not (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (tptp.below SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 D))))) (let ((_let_11 (tptp.below SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_12 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_15 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 _let_14))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_13 _let_11))) (let ((_let_18 (tptp.latt_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_19 (= _let_18 _let_10))) (let ((_let_20 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 _let_14))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.latt_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.empty_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_25 (or _let_24 _let_23 _let_21 _let_19))) (let ((_let_26 (forall ((A $$unsorted) (BOUND_VARIABLE_1064 $$unsorted) (BOUND_VARIABLE_1062 $$unsorted)) (or (tptp.empty_carrier A) (not (tptp.latt_str A)) (not (tptp.element BOUND_VARIABLE_1062 (tptp.the_carrier A))) (= (tptp.latt_set_smaller A BOUND_VARIABLE_1062 BOUND_VARIABLE_1064) (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier A))) (not (tptp.in D BOUND_VARIABLE_1064)) (tptp.below A BOUND_VARIABLE_1062 D)))))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (_let_26))) (let ((_let_29 ((tptp.latt_set_smaller A BOUND_VARIABLE_1062 BOUND_VARIABLE_1064)))) (let ((_let_30 (tptp.a_2_2_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_31 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 _let_30))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_21 _let_32 _let_11))) (let ((_let_34 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (not (tptp.in D (tptp.a_2_2_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (tptp.below SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))))) (let ((_let_35 (not _let_33))) (let ((_let_36 (tptp.latt_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 _let_30))) (let ((_let_37 (= _let_36 _let_34))) (let ((_let_38 (not _let_34))) (let ((_let_39 (or _let_24 _let_23 _let_16 _let_37))) (let ((_let_40 (forall ((A $$unsorted) (BOUND_VARIABLE_1114 $$unsorted) (BOUND_VARIABLE_1112 $$unsorted)) (or (tptp.empty_carrier A) (not (tptp.latt_str A)) (not (tptp.element BOUND_VARIABLE_1112 (tptp.the_carrier A))) (= (tptp.latt_element_smaller A BOUND_VARIABLE_1112 BOUND_VARIABLE_1114) (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier A))) (not (tptp.in D BOUND_VARIABLE_1114)) (tptp.below A D BOUND_VARIABLE_1112)))))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (_let_40))) (let ((_let_43 ((tptp.latt_element_smaller A BOUND_VARIABLE_1112 BOUND_VARIABLE_1114)))) (let ((_let_44 (tptp.meet_of_latt_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_45 (tptp.below SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_46 (or _let_16 _let_13 _let_45))) (let ((_let_47 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (not (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (tptp.below SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 (tptp.meet_of_latt_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) D))))) (let ((_let_48 (not _let_46))) (let ((_let_49 (tptp.latt_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_50 (= _let_49 _let_47))) (let ((_let_51 (not _let_47))) (let ((_let_52 (tptp.element _let_44 _let_14))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_24 _let_23 _let_53 _let_50))) (let ((_let_55 (or _let_24 _let_23 _let_52))) (let ((_let_56 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.empty_carrier A) (not (tptp.latt_str A)) (tptp.element (tptp.meet_of_latt_set A B) (tptp.the_carrier A)))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (not (tptp.latt_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (tptp.below_refl SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))))) (let ((_let_59 (tptp.latt_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_60 (and _let_59 _let_58))) (let ((_let_61 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_44))) (let ((_let_62 (= _let_61 _let_60))) (let ((_let_63 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_14))) (let ((_let_64 (not _let_63))) (let ((_let_65 (tptp.complete_latt_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_66 (not _let_65))) (let ((_let_67 (tptp.lattice SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_24 _let_68 _let_66 _let_23 _let_64 _let_62))) (let ((_let_70 (forall ((A $$unsorted) (BOUND_VARIABLE_1393 $$unsorted) (BOUND_VARIABLE_1391 $$unsorted)) (or (tptp.empty_carrier A) (not (tptp.lattice A)) (not (tptp.complete_latt_str A)) (not (tptp.latt_str A)) (not (tptp.element BOUND_VARIABLE_1391 (tptp.the_carrier A))) (= (= BOUND_VARIABLE_1391 (tptp.meet_of_latt_set A BOUND_VARIABLE_1393)) (and (tptp.latt_set_smaller A BOUND_VARIABLE_1391 BOUND_VARIABLE_1393) (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier A))) (not (tptp.latt_set_smaller A D BOUND_VARIABLE_1393)) (tptp.below_refl A D BOUND_VARIABLE_1391))))))))) (let ((_let_71 (not _let_69))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (or))) (let ((_let_74 (not _let_70))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_72) :args (_let_74))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_70))) (REFL :args (_let_71)) :args _let_73)) _let_72 :args (_let_71 true _let_70)))) (let ((_let_76 (REFL :args (_let_69)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_69 3)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_73)) :args ((or _let_22 _let_69))) _let_75 :args (_let_22 true _let_69)))) (let ((_let_78 (not _let_24))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_69 0)) _let_75 :args (_let_78 true _let_69)))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_24 _let_23 _let_52 (not _let_55)))) _let_79 _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.meet_of_latt_set A B)))) :args (_let_56))) _let_57 :args (_let_55 false _let_56)) :args (_let_52 true _let_24 false _let_22 false _let_55)))) (let ((_let_81 (not _let_49))) (let ((_let_82 (and _let_63 _let_59))) (let ((_let_83 (tptp.below_refl SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_84 (tptp.latt_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_85 (not _let_84))) (let ((_let_86 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 _let_14))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_85 _let_83))) (let ((_let_89 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_30))) (let ((_let_90 (= _let_89 _let_82))) (let ((_let_91 (tptp.join_of_latt_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_30))) (let ((_let_92 (= _let_44 _let_91))) (let ((_let_93 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_91))) (let ((_let_94 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (not (tptp.latt_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 D (tptp.a_2_2_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (tptp.below SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 D))))) (let ((_let_95 (tptp.latt_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_30))) (let ((_let_96 (and _let_95 _let_94))) (let ((_let_97 (= _let_93 _let_96))) (let ((_let_98 (tptp.below SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_99 (tptp.latt_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_30))) (let ((_let_100 (not _let_99))) (let ((_let_101 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_14))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_102 _let_100 _let_98))) (let ((_let_104 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (not (tptp.in D (tptp.a_2_2_lattice3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (tptp.below SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))))) (let ((_let_105 (= _let_95 _let_104))) (let ((_let_106 (tptp.below SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_107 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 _let_30))) (let ((_let_108 (not _let_107))) (let ((_let_109 (or _let_87 _let_108 _let_106))) (let ((_let_110 (tptp.meet_commutative SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_111 (tptp.meet_absorbing SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_112 (tptp.join_absorbing SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_113 (= _let_106 _let_83))) (let ((_let_114 (not _let_112))) (let ((_let_115 (not _let_111))) (let ((_let_116 (not _let_110))) (let ((_let_117 (or _let_24 _let_116 _let_115 _let_114 _let_23 _let_87 _let_64 _let_113))) (let ((_let_118 (and _let_86 _let_84))) (let ((_let_119 (= _let_107 _let_118))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_69 5)) _let_75 :args ((not _let_62) true _let_69)))) (let ((_let_121 (_let_62))) (let ((_let_122 (not _let_60))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_69 4)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_63))) :args _let_73)) :args ((or _let_63 _let_69))) _let_75 :args (_let_63 true _let_69)))) (let ((_let_124 (not _let_59))) (let ((_let_125 (_let_58))) (let ((_let_126 (or _let_24 _let_23 _let_90))) (let ((_let_127 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (tptp.empty_carrier B) (not (tptp.latt_str B)) (= (tptp.in A (tptp.a_2_2_lattice3 B C)) (and (tptp.element A (tptp.the_carrier B)) (tptp.latt_set_smaller B A C))))))) (let ((_let_128 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_129 (_let_127))) (let ((_let_130 ((tptp.latt_set_smaller B A C)))) (let ((_let_131 (or _let_24 _let_23 _let_92))) (let ((_let_132 (forall ((A $$unsorted) (BOUND_VARIABLE_1185 $$unsorted)) (or (tptp.empty_carrier A) (not (tptp.latt_str A)) (= 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(EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_177 (_let_175))) (let ((_let_178 (or _let_24 _let_23 _let_119))) (let ((_let_179 ((tptp.in A (tptp.a_2_2_lattice3 B C))))) (let ((_let_180 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_87 _let_83 _let_85 (not _let_88)))) (REORDERING (CNF_AND_POS :args (_let_118 1)) :args ((or _let_84 (not _let_118)))) (REORDERING (CNF_EQUIV_POS2 :args (_let_113)) :args ((or _let_106 (not _let_83) (not _let_113)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_119)) :args ((or _let_108 _let_118 (not _let_119)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_178)) :args ((or _let_24 _let_23 _let_119 (not _let_178)))) _let_79 _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING _let_179)) :args 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(not _let_82) (not _let_90)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_24 _let_23 _let_90 (not _let_126)))) _let_79 _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_129)) _let_128 :args (_let_126 false _let_127)) :args (_let_90 true _let_24 false _let_22 false _let_126)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_125) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element D _let_14) false))))) :args _let_125)) (REORDERING (CNF_AND_NEG :args (_let_82)) :args ((or _let_64 _let_124 _let_82))) _let_123 (REORDERING (CNF_AND_POS :args (_let_60 1)) :args ((or _let_58 _let_122))) (REORDERING (CNF_AND_POS :args (_let_60 0)) :args ((or _let_59 _let_122))) (REORDERING (CNF_EQUIV_NEG1 :args _let_121) :args ((or _let_61 _let_60 _let_62))) _let_120 :args (_let_61 false _let_84 true _let_83 false _let_118 false _let_119 false _let_113 false _let_117 false _let_112 false _let_111 false _let_110 false _let_63 false _let_22 true _let_24 true _let_106 false _let_107 false _let_86 true _let_109 true _let_104 false _let_105 true _let_95 false _let_94 false _let_103 true _let_96 false _let_97 true _let_93 false _let_92 false _let_89 false _let_90 false _let_88 false _let_82 false _let_63 false _let_58 false _let_59 false _let_60 true _let_62)))) (let ((_let_181 (tptp.below_refl SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_182 (tptp.latt_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_183 (not _let_182))) (let ((_let_184 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 _let_14))) (let ((_let_185 (not _let_184))) (let ((_let_186 (or 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_let_206) (SCOPE (FALSE_ELIM (TRANS (CONG _let_208 _let_207 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) :args (APPLY_UF tptp.latt_set_smaller)) (FALSE_INTRO _let_213))) :args (_let_124 _let_61))) :args (_let_61 _let_124))) :args (true _let_212)) (CONG (REFL :args _let_139) (MACRO_SR_PRED_INTRO :args ((= (not _let_124) _let_59))) (REFL :args (_let_81)) :args _let_73)) :args ((or _let_59 _let_136 _let_81))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_60)) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_121) _let_120 _let_180 :args (_let_122 true _let_62 false _let_61)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_211)) :args _let_211)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_210) _let_58))) (REFL :args ((not _let_186))) :args _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_194)) :args ((or _let_185 _let_187 _let_193 (not _let_194)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME 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_let_191 (not _let_190) (not _let_192)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_196)) :args ((or _let_24 _let_23 _let_192 (not _let_196)))) _let_79 _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_129)) _let_128 :args (_let_196 false _let_127)) :args (_let_192 true _let_24 false _let_22 false _let_196)) (REORDERING (CNF_EQUIV_POS2 :args (_let_188)) :args ((or _let_181 (not _let_187) (not _let_188)))) (REORDERING (CNF_AND_NEG :args (_let_190)) :args ((or _let_185 _let_183 _let_190))) (REORDERING (CNF_OR_POS :args (_let_189)) :args ((or _let_24 _let_23 _let_64 _let_116 _let_115 _let_114 _let_185 _let_188 (not _let_189)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_176 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 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(MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_24 _let_23 _let_53 _let_50 (not _let_54)))) _let_79 _let_77 _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_44 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_28)) _let_27 :args (_let_54 false _let_26)) :args (_let_50 true _let_24 false _let_22 false _let_52 false _let_54)) :args (_let_51 true _let_49 false _let_50)) :args (_let_48 true _let_47)))) (let ((_let_216 (REFL :args (_let_46)))) (let ((_let_217 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 0)) (CONG _let_216 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_73)) :args ((or _let_15 _let_46))) _let_215 :args (_let_15 true _let_46)))) (let ((_let_218 (not _let_36))) (let ((_let_219 (or _let_16 _let_218 _let_45))) (let ((_let_220 (_let_198))) (let ((_let_221 (_let_38))) (let ((_let_222 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_221)) :args _let_221)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_34))) (REFL :args (_let_35)) :args _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_37)) :args ((or _let_36 _let_38 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_219)) :args ((or _let_16 _let_45 _let_218 (not _let_219)))) _let_217 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_46 2)) _let_215 :args ((not _let_45) true _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_220) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element D _let_14) false))))) :args _let_220)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_199 1)) :args ((or _let_198 _let_203))) _let_202 :args (_let_198 false _let_199)) :args (_let_219 false _let_198)) :args (_let_218 false _let_15 true _let_45 false _let_219)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_24 _let_23 _let_16 _let_37 (not _let_39)))) _let_79 _let_77 _let_217 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_42)) _let_41 :args (_let_39 false _let_40)) :args (_let_37 true _let_24 false _let_22 false _let_15 false _let_39)) :args (_let_38 true _let_36 false _let_37)) :args (_let_35 true _let_34)))) (let ((_let_223 (REFL :args (_let_33)))) (let ((_let_224 (and _let_20 _let_18))) (let ((_let_225 (= _let_31 _let_224))) (let ((_let_226 (or _let_24 _let_23 _let_225))) (let ((_let_227 (not _let_17))) (let ((_let_228 (_let_10))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_228) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element D _let_14) false))))) :args _let_228)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_16 _let_13 _let_11 _let_227))) _let_217 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 1)) (CONG _let_216 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_73)) :args ((or _let_12 _let_46))) _let_215 :args (_let_12 true _let_46)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_33 2)) _let_222 :args ((not _let_11) true _let_33)) :args (_let_227 false _let_15 false _let_12 true _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_19)) :args ((or (not _let_18) _let_10 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_224 1)) :args ((or _let_18 (not _let_224)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_225)) :args ((or _let_32 _let_224 (not _let_225)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 1)) (CONG _let_223 (MACRO_SR_PRED_INTRO 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_let_33))) _let_222 :args (_let_20 true _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_28)) _let_27 :args (_let_25 false _let_26)) :args (_let_19 true _let_24 false _let_22 false _let_20 false _let_25)) :args (_let_10 false _let_18 false _let_19)) :args (false true _let_17 false _let_10)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_9 (forall ((A $$unsorted)) (let ((_let_1 (not (tptp.empty_carrier A)))) (=> (tptp.latt_str A) (=> (and _let_1 (tptp.join_commutative A) (tptp.join_associative A) (tptp.meet_commutative A) (tptp.meet_associative A) (tptp.meet_absorbing A) (tptp.join_absorbing A)) (and _let_1 (tptp.lattice A)))))) _let_8 _let_7 _let_6 _let_5 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.latt_str A)) (tptp.element (tptp.join_of_latt_set A B) (tptp.the_carrier A)))) _let_4 true (forall ((A $$unsorted)) (=> (tptp.meet_semilatt_str A) (tptp.one_sorted_str A))) true (forall ((A $$unsorted)) (=> (tptp.join_semilatt_str A) (tptp.one_sorted_str A))) (forall ((A $$unsorted)) (=> (tptp.latt_str A) (and (tptp.meet_semilatt_str A) (tptp.join_semilatt_str A)))) true true (exists ((A $$unsorted)) (tptp.meet_semilatt_str A)) (exists ((A $$unsorted)) (tptp.one_sorted_str A)) (exists ((A $$unsorted)) (tptp.join_semilatt_str A)) (exists ((A $$unsorted)) (tptp.latt_str A)) (forall ((A $$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))))) (tptp.empty tptp.empty_set) _let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.empty_carrier B)) (tptp.lattice B) (tptp.complete_latt_str B) (tptp.latt_str B)) (= (tptp.in A (tptp.a_2_3_lattice3 B C)) (exists ((D $$unsorted)) (and (tptp.element D (tptp.the_carrier B)) (= A D) (tptp.latt_set_smaller B D C)))))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.one_sorted_str A) (not (tptp.empty_carrier A)))) _let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (=> (and (not (tptp.empty_carrier A)) (tptp.meet_commutative A) (tptp.meet_absorbing A) (tptp.join_absorbing A) (tptp.latt_str A) (tptp.element B _let_1) (tptp.element C _let_1)) (tptp.below_refl A B B)))) (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)) (=> (forall ((C $$unsorted)) (= (tptp.in C A) (tptp.in C B))) (= A B))) _let_1 (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.82/1.05  )
% 0.82/1.05  % SZS output end Proof for SEU351+1
% 0.82/1.05  % cvc5---1.0.5 exiting
% 0.82/1.05  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------