%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU304+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 16:30:46 EDT 2023

% Result   : Theorem 0.18s 0.57s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU304+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.33  % Computer : n018.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Wed Aug 23 18:07:12 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.18/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.57  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.OWUJUomtOs/cvc5---1.0.5_28580.p...
% 0.18/0.57  ------- get file name : TPTP file name is SEU304+1
% 0.18/0.57  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_28580.smt2...
% 0.18/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.57  % SZS status Theorem for SEU304+1
% 0.18/0.57  % SZS output start Proof for SEU304+1
% 0.18/0.57  (
% 0.18/0.57  (let ((_let_1 (not (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.meet_commutative A) (tptp.meet_absorbing A) (tptp.latt_str A)) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.the_carrier A)) (forall ((C $$unsorted)) (=> (tptp.element C (tptp.the_carrier A)) (tptp.below A (tptp.meet_commut A B C) B)))))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (=> (and (not (tptp.empty_carrier A)) (tptp.meet_commutative A) (tptp.meet_semilatt_str A) (tptp.element B _let_1) (tptp.element C _let_1)) (= (tptp.meet_commut A B C) (tptp.meet A B C))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (tptp.latt_str A) (and (tptp.meet_semilatt_str A) (tptp.join_semilatt_str A)))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (=> (and (not (tptp.empty_carrier A)) (tptp.meet_commutative A) (tptp.meet_semilatt_str A) (tptp.element B _let_1) (tptp.element C _let_1)) (tptp.element (tptp.meet_commut A B C) _let_1)))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.latt_str A)) (= (tptp.meet_absorbing A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.the_carrier A)) (forall ((C $$unsorted)) (=> (tptp.element C (tptp.the_carrier A)) (= (tptp.join A (tptp.meet A B C) C) C)))))))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.join_semilatt_str A)) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.the_carrier A)) (forall ((C $$unsorted)) (=> (tptp.element C (tptp.the_carrier A)) (= (tptp.below A B C) (= (tptp.join A B C) C)))))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (=> (and (not (tptp.empty_carrier A)) (tptp.meet_commutative A) (tptp.meet_semilatt_str A) (tptp.element B _let_1) (tptp.element C _let_1)) (= (tptp.meet_commut A B C) (tptp.meet_commut A C B))))))) (let ((_let_8 (tptp.meet_commut SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_9 (tptp.meet_commut SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_10 (= _let_9 _let_8))) (let ((_let_11 (= _let_9 (tptp.meet SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_12 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 (tptp.join SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))) (let ((_let_13 (tptp.meet SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_14 (= _let_8 _let_13))) (let ((_let_15 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 (tptp.join SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))) (let ((_let_16 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_17 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_16))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_16))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.meet_semilatt_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.meet_commutative SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.empty_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_26 (or _let_25 _let_24 _let_22 _let_20 _let_18 _let_10))) (let ((_let_27 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (tptp.empty_carrier A) (not (tptp.meet_commutative A)) (not (tptp.meet_semilatt_str A)) (not (tptp.element B _let_1)) (not (tptp.element C _let_1)) (= (tptp.meet_commut A B C) (tptp.meet_commut A C B))))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (tptp.join_semilatt_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_30 (and _let_21 _let_29))) (let ((_let_31 (tptp.latt_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30))) (let ((_let_34 (forall ((A $$unsorted)) (or (not (tptp.latt_str A)) (and (tptp.meet_semilatt_str A) (tptp.join_semilatt_str A)))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (tptp.below SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_37 (tptp.meet_absorbing SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_25 _let_24 _let_38 _let_32 _let_20 _let_18 _let_36))) (let ((_let_40 (forall ((A $$unsorted) (BOUND_VARIABLE_1502 $$unsorted) (BOUND_VARIABLE_1500 $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (tptp.empty_carrier A) (not (tptp.meet_commutative A)) (not (tptp.meet_absorbing A)) (not (tptp.latt_str A)) (not (tptp.element BOUND_VARIABLE_1500 _let_1)) (not (tptp.element BOUND_VARIABLE_1502 _let_1)) (tptp.below A (tptp.meet_commut A BOUND_VARIABLE_1500 BOUND_VARIABLE_1502) BOUND_VARIABLE_1500)))))) (let ((_let_41 (not _let_39))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (or))) (let ((_let_44 (not _let_40))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_42) :args (_let_44))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_40))) (REFL :args (_let_41)) :args _let_43)) _let_42 :args (_let_41 true _let_40)))) (let ((_let_46 (REFL :args (_let_39)))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 3)) (CONG _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_43)) :args ((or _let_31 _let_39))) _let_45 :args (_let_31 true _let_39)))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_30 (not _let_33)))) _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.latt_str A) false))))) :args (_let_34))) _let_35 :args (_let_33 false _let_34)) :args (_let_30 false _let_31 false _let_33)))) (let ((_let_49 (not _let_30))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_30 0)) :args ((or _let_21 _let_49))) _let_48 :args (_let_21 false _let_30)))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 5)) (CONG _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_43)) :args ((or _let_17 _let_39))) _let_45 :args (_let_17 true _let_39)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 4)) (CONG _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_43)) :args ((or _let_19 _let_39))) _let_45 :args (_let_19 true _let_39)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 1)) (CONG _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_43)) :args ((or _let_23 _let_39))) _let_45 :args (_let_23 true _let_39)))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_39 0)) _let_45 :args ((not _let_25) true _let_39)))) (let ((_let_55 (or _let_25 _let_24 _let_22 _let_20 _let_18 _let_11))) (let ((_let_56 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (tptp.empty_carrier A) (not (tptp.meet_commutative A)) (not (tptp.meet_semilatt_str A)) (not (tptp.element B _let_1)) (not (tptp.element C _let_1)) (= (tptp.meet_commut A B C) (tptp.meet A B C))))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (_let_56))) (let ((_let_59 ((tptp.meet_commut A B C)))) (let ((_let_60 (= _let_36 _let_12))) (let ((_let_61 (not _let_12))) (let ((_let_62 (tptp.element _let_9 _let_16))) (let ((_let_63 (not _let_62))) (let ((_let_64 (not _let_29))) (let ((_let_65 (or _let_25 _let_64 _let_63 _let_20 _let_60))) (let ((_let_66 (forall ((A $$unsorted) (BOUND_VARIABLE_1248 $$unsorted) (BOUND_VARIABLE_1246 $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (tptp.empty_carrier A) (not (tptp.join_semilatt_str A)) (not (tptp.element BOUND_VARIABLE_1246 _let_1)) (not (tptp.element BOUND_VARIABLE_1248 _let_1)) (= (tptp.below A BOUND_VARIABLE_1246 BOUND_VARIABLE_1248) (= BOUND_VARIABLE_1248 (tptp.join A BOUND_VARIABLE_1246 BOUND_VARIABLE_1248)))))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (or _let_25 _let_24 _let_22 _let_20 _let_18 _let_62))) (let ((_let_69 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (tptp.empty_carrier A) (not (tptp.meet_commutative A)) (not (tptp.meet_semilatt_str A)) (not (tptp.element B _let_1)) (not (tptp.element C _let_1)) (tptp.element (tptp.meet_commut A B C) _let_1)))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (or _let_25 _let_24 _let_22 _let_18 _let_20 _let_14))) (let ((_let_72 (or _let_18 _let_20 _let_15))) (let ((_let_73 (forall ((B $$unsorted) (BOUND_VARIABLE_1276 $$unsorted)) (let ((_let_1 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (or (not (tptp.element B _let_1)) (not (tptp.element BOUND_VARIABLE_1276 _let_1)) (= BOUND_VARIABLE_1276 (tptp.join SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 (tptp.meet SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 B BOUND_VARIABLE_1276) BOUND_VARIABLE_1276))))))) (let ((_let_74 (= _let_37 _let_73))) (let ((_let_75 (or _let_25 _let_32 _let_74))) (let ((_let_76 (forall ((A $$unsorted)) (or (tptp.empty_carrier A) (not (tptp.latt_str A)) (= (tptp.meet_absorbing A) (forall ((B $$unsorted) (BOUND_VARIABLE_1276 $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.element B _let_1)) (not (tptp.element BOUND_VARIABLE_1276 _let_1)) (= BOUND_VARIABLE_1276 (tptp.join A (tptp.meet A B BOUND_VARIABLE_1276) BOUND_VARIABLE_1276)))))))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_73))) (let ((_let_79 (not _let_15))) (let ((_let_80 (not _let_14))) (let ((_let_81 (not _let_11))) (let ((_let_82 (not _let_10))) (let ((_let_83 (_let_79))) (let ((_let_84 (ASSUME :args (_let_15)))) (let ((_let_85 (ASSUME :args (_let_61)))) (let ((_let_86 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))) (let ((_let_87 (ASSUME :args (_let_11)))) (let ((_let_88 (ASSUME :args (_let_10)))) (let ((_let_89 (ASSUME :args (_let_14)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_84 (MODUS_PONENS (AND_INTRO _let_85 _let_87 _let_88 _let_89) (SCOPE (FALSE_ELIM (TRANS (CONG _let_86 (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (TRANS (TRANS (SYMM _let_89) (SYMM _let_88) _let_87) (SYMM _let_87)) _let_86 :args (APPLY_UF tptp.join)) :args (=)) (FALSE_INTRO _let_85))) :args (_let_61 _let_11 _let_10 _let_14)))) :args (_let_10 _let_11 _let_61 _let_14 _let_15)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_83))) (TRUE_INTRO (SYMM (SYMM _let_84))))) :args (_let_15 _let_79)) :args ((not (and _let_10 _let_11 _let_61 _let_14 _let_15)) SB_LITERAL))) (CONG (REFL :args (_let_82)) (REFL :args (_let_81)) (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_12))) (REFL :args (_let_80)) (REFL :args _let_83) :args _let_43)) :args ((or _let_12 _let_82 _let_81 _let_80 _let_79))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_20 _let_18 _let_15 (not _let_72)))) _let_52 _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_78) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.meet SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 B BOUND_VARIABLE_1276)))) :args _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_74)) :args ((or _let_38 _let_73 (not _let_74)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 2)) (CONG _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_43)) :args ((or _let_37 _let_39))) _let_45 :args (_let_37 true _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_25 _let_32 _let_74 (not _let_75)))) _let_54 _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.empty_carrier A) true))))) :args (_let_76))) _let_77 :args (_let_75 false _let_76)) :args (_let_74 true _let_25 false _let_31 false _let_75)) :args (_let_73 false _let_37 false _let_74)) :args (_let_72 false _let_73)) :args (_let_15 false _let_19 false _let_17 false _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_25 _let_24 _let_20 _let_18 _let_22 _let_14 (not _let_71)))) _let_54 _let_53 _let_52 _let_51 _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)) _let_57 :args (_let_71 false _let_56)) :args (_let_14 true _let_25 false _let_23 false _let_19 false _let_17 false _let_21 false _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_60)) :args ((or _let_36 _let_61 (not _let_60)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_39 6)) _let_45 :args ((not _let_36) true _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_25 _let_20 _let_64 _let_63 _let_60 (not _let_65)))) _let_54 _let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_30 1)) :args ((or _let_29 _let_49))) _let_48 :args (_let_29 false _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_25 _let_24 _let_20 _let_18 _let_22 _let_62 (not _let_68)))) _let_54 _let_53 _let_52 _let_51 _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.meet_commut A B C)))) :args (_let_69))) _let_70 :args (_let_68 false _let_69)) :args (_let_62 true _let_25 false _let_23 false _let_19 false _let_17 false _let_21 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.below A BOUND_VARIABLE_1246 BOUND_VARIABLE_1248)))) :args (_let_66))) _let_67 :args (_let_65 false _let_66)) :args (_let_60 true _let_25 false _let_19 false _let_29 false _let_62 false _let_65)) :args (_let_61 true _let_36 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_25 _let_24 _let_20 _let_18 _let_22 _let_11 (not _let_55)))) _let_54 _let_53 _let_52 _let_51 _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)) _let_57 :args (_let_55 false _let_56)) :args (_let_11 true _let_25 false _let_23 false _let_19 false _let_17 false _let_21 false _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_24 _let_20 _let_18 _let_22 _let_10 (not _let_26)))) _let_54 _let_53 _let_52 _let_51 _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.meet_commut A B C)))) :args (_let_27))) _let_28 :args (_let_26 false _let_27)) :args (_let_10 true _let_25 false _let_23 false _let_19 false _let_17 false _let_21 false _let_26)) :args (false false _let_15 false _let_14 true _let_12 false _let_11 false _let_10)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.preboolean A) (and (tptp.cup_closed A) (tptp.diff_closed A)))) (forall ((A $$unsorted)) (=> (and (tptp.cup_closed A) (tptp.diff_closed A)) (tptp.preboolean A))) _let_7 (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.join_semilatt_str A)) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.the_carrier A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (=> (tptp.element C _let_1) (= (tptp.join A B C) (tptp.apply_binary_as_element _let_1 _let_1 _let_1 (tptp.the_L_join A) B C))))))))) (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.meet_semilatt_str A)) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.the_carrier A)) (forall ((C $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (=> (tptp.element C _let_1) (= (tptp.meet A B C) (tptp.apply_binary_as_element _let_1 _let_1 _let_1 (tptp.the_L_meet A) B C))))))))) _let_6 _let_5 true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (=> (and (not (tptp.empty_carrier A)) (tptp.join_semilatt_str A) (tptp.element B _let_1) (tptp.element C _let_1)) (tptp.element (tptp.join A B C) _let_1)))) true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.cartesian_product2 A B))) (=> (and (not (tptp.empty A)) (not (tptp.empty B)) (tptp.function D) (tptp.quasi_total D _let_1 C) (tptp.relation_of2 D _let_1 C) (tptp.element E A) (tptp.element F B)) (tptp.element (tptp.apply_binary_as_element A B C D E F) C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (=> (and (not (tptp.empty_carrier A)) (tptp.meet_semilatt_str A) (tptp.element B _let_1) (tptp.element C _let_1)) (tptp.element (tptp.meet A B C) _let_1)))) true _let_4 (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))) _let_3 true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.relation_of2_as_subset C A B) (tptp.element C (tptp.powerset (tptp.cartesian_product2 A B))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (let ((_let_2 (tptp.cartesian_product2 _let_1 _let_1))) (let ((_let_3 (tptp.the_L_meet A))) (=> (tptp.meet_semilatt_str 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))))))) true (forall ((A $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (let ((_let_2 (tptp.cartesian_product2 _let_1 _let_1))) (let ((_let_3 (tptp.the_L_join A))) (=> (tptp.join_semilatt_str A) (and (tptp.function _let_3) (tptp.quasi_total _let_3 _let_2 _let_1) (tptp.relation_of2_as_subset _let_3 _let_2 _let_1))))))) (exists ((A $$unsorted)) (tptp.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) (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)) (let ((_let_1 (tptp.powerset A))) (and (not (tptp.empty _let_1)) (tptp.cup_closed _let_1) (tptp.diff_closed _let_1) (tptp.preboolean _let_1)))) (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A)) (not (tptp.empty (tptp.the_carrier A))))) (exists ((A $$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) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.cartesian_product2 A B))) (=> (and (not (tptp.empty A)) (not (tptp.empty B)) (tptp.function D) (tptp.quasi_total D _let_1 C) (tptp.relation_of2 D _let_1 C) (tptp.element E A) (tptp.element F B)) (= (tptp.apply_binary_as_element A B C D E F) (tptp.apply_binary D E F))))) _let_2 (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 $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) _let_1 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))) (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.18/0.58  )
% 0.18/0.58  % SZS output end Proof for SEU304+1
% 0.18/0.58  % cvc5---1.0.5 exiting
% 0.18/0.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------