TSTP Solution File: SET622^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET622^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 14:39:33 EDT 2023
% Result : Theorem 0.81s 0.99s
% Output : Proof 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET622^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.17/0.35 % Computer : n001.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Sat Aug 26 10:19:31 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.21/0.48 %----Proving TH0
% 0.81/0.99 %------------------------------------------------------------------------------
% 0.81/0.99 % File : SET622^5 : TPTP v8.1.2. Released v4.0.0.
% 0.81/0.99 % Domain : Set Theory
% 0.81/0.99 % Problem : TPS problem BOOL-PROP-98
% 0.81/0.99 % Version : Especial.
% 0.81/0.99 % English : Trybulec's 98th Boolean property of sets
% 0.81/0.99
% 0.81/0.99 % Refs : [TS89] Trybulec & Swieczkowska (1989), Boolean Properties of
% 0.81/0.99 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.81/0.99 % Source : [Bro09]
% 0.81/0.99 % Names : tps_0434 [Bro09]
% 0.81/0.99 % : BOOL-PROP-98 [TPS]
% 0.81/0.99
% 0.81/0.99 % Status : Theorem
% 0.81/0.99 % Rating : 0.15 v8.1.0, 0.09 v7.5.0, 0.14 v7.4.0, 0.22 v7.2.0, 0.12 v7.1.0, 0.25 v7.0.0, 0.29 v6.4.0, 0.33 v6.3.0, 0.40 v6.2.0, 0.14 v6.1.0, 0.29 v5.5.0, 0.17 v5.4.0, 0.20 v5.1.0, 0.40 v5.0.0, 0.20 v4.1.0, 0.00 v4.0.1, 0.33 v4.0.0
% 0.81/0.99 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 0.81/0.99 % Number of atoms : 1 ( 1 equ; 0 cnn)
% 0.81/0.99 % Maximal formula atoms : 1 ( 1 avg)
% 0.81/0.99 % Number of connectives : 24 ( 4 ~; 3 |; 6 &; 11 @)
% 0.81/0.99 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.81/0.99 % Maximal formula depth : 4 ( 4 avg)
% 0.81/0.99 % Number of types : 2 ( 1 usr)
% 0.81/0.99 % Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% 0.81/0.99 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.81/0.99 % Number of variables : 5 ( 2 ^; 3 !; 0 ?; 5 :)
% 0.81/0.99 % SPC : TH0_THM_EQU_NAR
% 0.81/0.99
% 0.81/0.99 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.81/0.99 % project in the Department of Mathematical Sciences at Carnegie
% 0.81/0.99 % Mellon University. Distributed under the Creative Commons copyleft
% 0.81/0.99 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.81/0.99 % : Polymorphic definitions expanded.
% 0.81/0.99 %------------------------------------------------------------------------------
% 0.81/0.99 thf(a_type,type,
% 0.81/0.99 a: $tType ).
% 0.81/0.99
% 0.81/0.99 thf(cBOOL_PROP_98_pme,conjecture,
% 0.81/0.99 ! [X: a > $o,Y: a > $o,Z: a > $o] :
% 0.81/0.99 ( ( ^ [Xx: a] :
% 0.81/0.99 ( ( X @ Xx )
% 0.81/0.99 & ~ ( ( ( Y @ Xx )
% 0.81/0.99 & ~ ( Z @ Xx ) )
% 0.81/0.99 | ( ( Z @ Xx )
% 0.81/0.99 & ~ ( Y @ Xx ) ) ) ) )
% 0.81/0.99 = ( ^ [Xz: a] :
% 0.81/0.99 ( ( ( X @ Xz )
% 0.81/0.99 & ~ ( ( Y @ Xz )
% 0.81/0.99 | ( Z @ Xz ) ) )
% 0.81/0.99 | ( ( X @ Xz )
% 0.81/0.99 & ( Y @ Xz )
% 0.81/0.99 & ( Z @ Xz ) ) ) ) ) ).
% 0.81/0.99
% 0.81/0.99 %------------------------------------------------------------------------------
% 0.81/0.99 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Lda9N2zTBV/cvc5---1.0.5_29451.p...
% 0.81/0.99 (declare-sort $$unsorted 0)
% 0.81/0.99 (declare-sort tptp.a 0)
% 0.81/0.99 (assert (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool))) (= (lambda ((Xx tptp.a)) (let ((_let_1 (@ Y Xx))) (let ((_let_2 (@ Z Xx))) (and (@ X Xx) (not (or (and _let_1 (not _let_2)) (and _let_2 (not _let_1)))))))) (lambda ((Xz tptp.a)) (let ((_let_1 (@ Z Xz))) (let ((_let_2 (@ Y Xz))) (let ((_let_3 (@ X Xz))) (or (and _let_3 (not (or _let_2 _let_1))) (and _let_3 _let_2 _let_1))))))))))
% 0.81/0.99 (set-info :filename cvc5---1.0.5_29451)
% 0.81/0.99 (check-sat-assuming ( true ))
% 0.81/0.99 ------- get file name : TPTP file name is SET622^5
% 0.81/0.99 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29451.smt2...
% 0.81/0.99 --- Run --ho-elim --full-saturate-quant at 10...
% 0.81/0.99 % SZS status Theorem for SET622^5
% 0.81/0.99 % SZS output start Proof for SET622^5
% 0.81/0.99 (
% 0.81/0.99 (let ((_let_1 (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool))) (= (lambda ((Xx tptp.a)) (let ((_let_1 (@ Y Xx))) (let ((_let_2 (@ Z Xx))) (and (@ X Xx) (not (or (and _let_1 (not _let_2)) (and _let_2 (not _let_1)))))))) (lambda ((Xz tptp.a)) (let ((_let_1 (@ Z Xz))) (let ((_let_2 (@ Y Xz))) (let ((_let_3 (@ X Xz))) (or (and _let_3 (not (or _let_2 _let_1))) (and _let_3 _let_2 _let_1))))))))))) (let ((_let_2 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_641))) (let ((_let_3 (not _let_2))) (let ((_let_4 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_641))) (let ((_let_5 (not _let_4))) (let ((_let_6 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_641))) (let ((_let_7 (and _let_6 _let_5 _let_3))) (let ((_let_8 (and _let_6 _let_4 _let_2))) (let ((_let_9 (or _let_7 _let_8))) (let ((_let_10 (ho_8 (ho_7 (ho_6 k_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_11 (ho_4 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_641))) (let ((_let_12 (= _let_11 _let_9))) (let ((_let_13 (forall ((BOUND_VARIABLE_753 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_751 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_749 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_654 tptp.a)) (let ((_let_1 (ho_4 BOUND_VARIABLE_749 BOUND_VARIABLE_654))) (let ((_let_2 (ho_4 BOUND_VARIABLE_751 BOUND_VARIABLE_654))) (let ((_let_3 (ho_4 BOUND_VARIABLE_753 BOUND_VARIABLE_654))) (= (or (and _let_3 (not _let_2) (not _let_1)) (and _let_3 _let_2 _let_1)) (ho_4 (ho_8 (ho_7 (ho_6 k_9 BOUND_VARIABLE_753) BOUND_VARIABLE_751) BOUND_VARIABLE_749) BOUND_VARIABLE_654)))))))) (let ((_let_14 (forall ((u |u_(-> tptp.a Bool)|) (e Bool) (i tptp.a)) (not (forall ((v |u_(-> tptp.a Bool)|)) (not (forall ((ii tptp.a)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii)))))))))) (let ((_let_15 (forall ((x |u_(-> tptp.a Bool)|) (y |u_(-> tptp.a Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_16 (forall ((u |u_(-> _u_(-> tptp.a Bool)_ tptp.a Bool)|) (e |u_(-> tptp.a Bool)|) (i |u_(-> tptp.a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.a Bool)_ tptp.a Bool)|)) (not (forall ((ii |u_(-> tptp.a Bool)|)) (= (ho_8 v ii) (ite (= i ii) e (ho_8 u ii)))))))))) (let ((_let_17 (forall ((x |u_(-> _u_(-> tptp.a Bool)_ tptp.a Bool)|) (y |u_(-> _u_(-> tptp.a Bool)_ tptp.a Bool)|)) (or (not (forall ((z |u_(-> tptp.a Bool)|)) (= (ho_8 x z) (ho_8 y z)))) (= x y))))) (let ((_let_18 (forall ((u |u_(-> _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|) (e |u_(-> _u_(-> tptp.a Bool)_ tptp.a Bool)|) (i |u_(-> tptp.a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|)) (not (forall ((ii |u_(-> tptp.a Bool)|)) (= (ho_7 v ii) (ite (= i ii) e (ho_7 u ii)))))))))) (let ((_let_19 (forall ((x |u_(-> _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|) (y |u_(-> _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|)) (or (not (forall ((z |u_(-> tptp.a Bool)|)) (= (ho_7 x z) (ho_7 y z)))) (= x y))))) (let ((_let_20 (forall ((u |u_(-> _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|) (e |u_(-> _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|) (i |u_(-> tptp.a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|)) (not (forall ((ii |u_(-> tptp.a Bool)|)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii)))))))))) (let ((_let_21 (forall ((x |u_(-> _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|) (y |u_(-> _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|)) (or (not (forall ((z |u_(-> tptp.a Bool)|)) (= (ho_6 x z) (ho_6 y z)))) (= x y))))) (let ((_let_22 (forall ((BOUND_VARIABLE_723 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_717 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_713 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_670 tptp.a)) (let ((_let_1 (ho_4 BOUND_VARIABLE_713 BOUND_VARIABLE_670))) (let ((_let_2 (ho_4 BOUND_VARIABLE_717 BOUND_VARIABLE_670))) (= (and (ho_4 BOUND_VARIABLE_723 BOUND_VARIABLE_670) (or (not _let_1) _let_2) (or (not _let_2) _let_1)) (ho_4 (ho_8 (ho_7 (ho_6 k_5 BOUND_VARIABLE_723) BOUND_VARIABLE_717) BOUND_VARIABLE_713) BOUND_VARIABLE_670))))))) (let ((_let_23 (forall ((BOUND_VARIABLE_774 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_772 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_773 |u_(-> tptp.a Bool)|)) (= (ho_8 (ho_7 (ho_6 k_5 BOUND_VARIABLE_774) BOUND_VARIABLE_773) BOUND_VARIABLE_772) (ho_8 (ho_7 (ho_6 k_9 BOUND_VARIABLE_774) BOUND_VARIABLE_772) BOUND_VARIABLE_773))))) (let ((_let_24 (not _let_23))) (let ((_let_25 (forall ((BOUND_VARIABLE_667 (-> tptp.a Bool)) (BOUND_VARIABLE_668 (-> tptp.a Bool)) (BOUND_VARIABLE_669 (-> tptp.a Bool)) (BOUND_VARIABLE_670 tptp.a)) (let ((_let_1 (@ BOUND_VARIABLE_669 BOUND_VARIABLE_670))) (let ((_let_2 (@ BOUND_VARIABLE_668 BOUND_VARIABLE_670))) (= (ll_3 BOUND_VARIABLE_667 BOUND_VARIABLE_668 BOUND_VARIABLE_669 BOUND_VARIABLE_670) (and (@ BOUND_VARIABLE_667 BOUND_VARIABLE_670) (or (not _let_1) _let_2) (or (not _let_2) _let_1)))))))) (let ((_let_26 (forall ((BOUND_VARIABLE_651 (-> tptp.a Bool)) (BOUND_VARIABLE_652 (-> tptp.a Bool)) (BOUND_VARIABLE_653 (-> tptp.a Bool)) (BOUND_VARIABLE_654 tptp.a)) (let ((_let_1 (@ BOUND_VARIABLE_653 BOUND_VARIABLE_654))) (let ((_let_2 (@ BOUND_VARIABLE_652 BOUND_VARIABLE_654))) (let ((_let_3 (@ BOUND_VARIABLE_651 BOUND_VARIABLE_654))) (= (ll_2 BOUND_VARIABLE_651 BOUND_VARIABLE_652 BOUND_VARIABLE_653 BOUND_VARIABLE_654) (or (and _let_3 (not _let_2) (not _let_1)) (and _let_3 _let_2 _let_1))))))))) (let ((_let_27 (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool))) (= (@ (@ (@ ll_2 X) Y) Z) (@ (@ (@ ll_3 X) Z) Y)))))) (let ((_let_28 (and _let_27 _let_26 _let_25))) (let ((_let_29 (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_1)) (PREPROCESS :args ((= _let_1 _let_27)))) (PREPROCESS :args ((and _let_26 _let_25)))) :args (_let_28)) (PREPROCESS :args ((= _let_28 (and _let_24 _let_13 _let_22))))) (PREPROCESS :args ((and _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14)))) :args ((and _let_24 _let_13 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14))))) (let ((_let_30 (_let_13))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_30) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_641 QUANTIFIERS_INST_E_MATCHING ((ho_4 (ho_8 (ho_7 (ho_6 k_9 BOUND_VARIABLE_753) BOUND_VARIABLE_751) BOUND_VARIABLE_749) BOUND_VARIABLE_654)))) :args _let_30))) (AND_ELIM _let_29 :args (1)) :args (_let_12 false _let_13)))) (let ((_let_32 (ho_8 (ho_7 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_33 (ho_4 _let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_641))) (let ((_let_34 (= _let_11 _let_33))) (let ((_let_35 (or _let_3 _let_4))) (let ((_let_36 (or _let_5 _let_2))) (let ((_let_37 (and _let_6 _let_36 _let_35))) (let ((_let_38 (= _let_33 _let_37))) (let ((_let_39 (forall ((z tptp.a)) (= (ho_4 (ho_8 (ho_7 (ho_6 k_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) z) (ho_4 (ho_8 (ho_7 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) z))))) (let ((_let_40 (not _let_34))) (let ((_let_41 (= _let_32 _let_10))) (let ((_let_42 (not _let_39))) (let ((_let_43 (or _let_42 _let_41))) (let ((_let_44 (_let_15))) (let ((_let_45 (not _let_41))) (let ((_let_46 (or))) (let ((_let_47 (_let_24))) (let ((_let_48 (_let_42))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_48)) :args _let_48)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_39))) (REFL :args (_let_40)) :args _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_41 _let_42 (not _let_43)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_47)) :args _let_47)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) (REFL :args (_let_45)) :args _let_46)) (AND_ELIM _let_29 :args (0)) :args (_let_45 true _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_44) :args (_let_10 _let_32 QUANTIFIERS_INST_ENUM)) :args _let_44))) (AND_ELIM _let_29 :args (9)) :args (_let_43 false _let_15)) :args (_let_42 true _let_41 false _let_43)) :args (_let_40 true _let_39)))) (let ((_let_50 (_let_34))) (let ((_let_51 (not _let_12))) (let ((_let_52 (not _let_9))) (let ((_let_53 (_let_12))) (let ((_let_54 (_let_22))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_54) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_641 QUANTIFIERS_INST_E_MATCHING ((ho_4 (ho_8 (ho_7 (ho_6 k_5 BOUND_VARIABLE_723) BOUND_VARIABLE_717) BOUND_VARIABLE_713) BOUND_VARIABLE_670)))) :args _let_54))) (AND_ELIM _let_29 :args (2)) :args (_let_38 false _let_22)))) (let ((_let_56 (not _let_38))) (let ((_let_57 (not _let_33))) (let ((_let_58 (_let_38))) (let ((_let_59 (not _let_37))) (let ((_let_60 (not _let_35))) (let ((_let_61 (not _let_6))) (let ((_let_62 (_let_35))) (let ((_let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_3) _let_2))))) (let ((_let_64 (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))))) (let ((_let_65 (_let_7))) (let ((_let_66 (_let_36))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_8)) :args ((or _let_5 _let_3 _let_8 _let_61))) (REORDERING (CNF_OR_POS :args _let_66) :args ((or _let_5 _let_2 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_65) (CONG (REFL :args _let_65) (REFL :args (_let_61)) _let_64 _let_63 :args _let_46)) :args ((or _let_4 _let_2 _let_7 _let_61))) (REORDERING (CNF_OR_POS :args _let_62) :args ((or _let_4 _let_3 _let_60))) :args ((or _let_4 _let_7 _let_61 _let_60) true _let_2)) (REORDERING (CNF_AND_POS :args (_let_37 2)) :args ((or _let_35 _let_59))) (REORDERING (CNF_AND_POS :args (_let_37 1)) :args ((or _let_36 _let_59))) (REORDERING (CNF_AND_POS :args (_let_37 0)) :args ((or _let_6 _let_59))) (CNF_OR_NEG :args (_let_9 1)) (CNF_OR_NEG :args (_let_9 0)) (REORDERING (CNF_EQUIV_POS1 :args _let_58) :args ((or _let_57 _let_37 _let_56))) _let_55 (REORDERING (CNF_EQUIV_POS2 :args _let_53) :args ((or _let_11 _let_52 _let_51))) _let_31 (REORDERING (CNF_EQUIV_NEG1 :args _let_50) :args ((or _let_11 _let_33 _let_34))) _let_49 :args (_let_11 false _let_2 false _let_4 false _let_35 false _let_36 false _let_6 true _let_8 true _let_7 false _let_37 false _let_38 true _let_9 false _let_12 false _let_33 true _let_34)))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_53) :args ((or (not _let_11) _let_9 _let_51))) _let_67 _let_31 :args (_let_9 false _let_11 false _let_12)))) (let ((_let_69 (not _let_8))) (let ((_let_70 (not _let_7))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_58) :args ((or _let_33 _let_59 _let_56))) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_50) _let_49 _let_67 :args (_let_57 true _let_34 false _let_11)) _let_55 :args (_let_59 true _let_33 false _let_38)))) (let ((_let_72 (REORDERING (CNF_OR_POS :args (_let_9)) :args ((or _let_7 _let_8 _let_52))))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_72 (REORDERING (CNF_AND_POS :args (_let_8 0)) :args ((or _let_6 _let_69))) (REORDERING (CNF_AND_POS :args (_let_7 0)) :args ((or _let_6 _let_70))) :args ((or _let_6 _let_52) true _let_8 true _let_7)) _let_68 :args (_let_6 false _let_9)))) (let ((_let_74 (CNF_AND_NEG :args (_let_37)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_8 2)) :args ((or _let_2 _let_69))) (CNF_OR_NEG :args (_let_36 1)) _let_72 _let_68 _let_74 _let_73 _let_71 (REORDERING (CNF_AND_POS :args (_let_7 1)) :args ((or _let_5 _let_70))) (REORDERING (CNF_OR_NEG :args (_let_35 1)) :args ((or _let_5 _let_35))) :args (_let_5 true _let_2 false _let_8 false _let_9 true _let_36 false _let_6 true _let_37 true _let_7 false _let_35)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_7 2)) :args ((or _let_3 _let_70))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 0)) (CONG (REFL :args _let_62) _let_63 :args _let_46)) :args ((or _let_2 _let_35))) (MACRO_RESOLUTION_TRUST _let_74 _let_71 _let_73 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG (REFL :args _let_66) _let_64 :args _let_46)) :args ((or _let_4 _let_36))) _let_75 :args (_let_36 true _let_4)) :args (_let_60 true _let_37 false _let_6 false _let_36)) :args (_let_2 true _let_35)) (MACRO_RESOLUTION_TRUST _let_72 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_8 1)) :args ((or _let_4 _let_69))) _let_75 :args (_let_69 true _let_4)) _let_68 :args (_let_7 true _let_8 false _let_9)) :args (false false _let_2 false _let_7)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.81/0.99 )
% 0.81/0.99 % SZS output end Proof for SET622^5
% 0.81/1.00 % cvc5---1.0.5 exiting
% 0.81/1.00 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------