TSTP Solution File: SET621^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET621^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 14:39:32 EDT 2023
% Result : Theorem 0.21s 0.74s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET621^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.16/0.35 % Computer : n019.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Sat Aug 26 15:44:43 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.21/0.49 %----Proving TH0
% 0.21/0.74 %------------------------------------------------------------------------------
% 0.21/0.74 % File : SET621^5 : TPTP v8.1.2. Released v4.0.0.
% 0.21/0.74 % Domain : Set Theory
% 0.21/0.74 % Problem : TPS problem BOOL-PROP-97
% 0.21/0.74 % Version : Especial.
% 0.21/0.74 % English : Trybulec's 97th Boolean property of sets
% 0.21/0.74
% 0.21/0.74 % Refs : [TS89] Trybulec & Swieczkowska (1989), Boolean Properties of
% 0.21/0.74 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.21/0.74 % Source : [Bro09]
% 0.21/0.74 % Names : tps_0421 [Bro09]
% 0.21/0.74 % : BOOL-PROP-97 [TPS]
% 0.21/0.74
% 0.21/0.74 % Status : Theorem
% 0.21/0.74 % Rating : 0.08 v8.1.0, 0.09 v7.5.0, 0.00 v7.4.0, 0.22 v7.2.0, 0.12 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.00 v6.1.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0, 0.40 v5.2.0, 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
% 0.21/0.74 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 0.21/0.74 % Number of atoms : 1 ( 1 equ; 0 cnn)
% 0.21/0.74 % Maximal formula atoms : 1 ( 1 avg)
% 0.21/0.74 % Number of connectives : 25 ( 5 ~; 4 |; 5 &; 11 @)
% 0.21/0.74 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.21/0.74 % Maximal formula depth : 4 ( 4 avg)
% 0.21/0.74 % Number of types : 2 ( 1 usr)
% 0.21/0.74 % Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% 0.21/0.74 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.21/0.74 % Number of variables : 5 ( 2 ^; 3 !; 0 ?; 5 :)
% 0.21/0.74 % SPC : TH0_THM_EQU_NAR
% 0.21/0.74
% 0.21/0.74 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.21/0.74 % project in the Department of Mathematical Sciences at Carnegie
% 0.21/0.74 % Mellon University. Distributed under the Creative Commons copyleft
% 0.21/0.74 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.21/0.74 % : Polymorphic definitions expanded.
% 0.21/0.74 %------------------------------------------------------------------------------
% 0.21/0.74 thf(a_type,type,
% 0.21/0.74 a: $tType ).
% 0.21/0.74
% 0.21/0.74 thf(cBOOL_PROP_97_pme,conjecture,
% 0.21/0.74 ! [X: a > $o,Y: a > $o,Z: a > $o] :
% 0.21/0.74 ( ( ^ [Xx: a] :
% 0.21/0.74 ( ( ( ( X @ Xx )
% 0.21/0.74 & ~ ( Y @ Xx ) )
% 0.21/0.74 | ( ( Y @ Xx )
% 0.21/0.74 & ~ ( X @ Xx ) ) )
% 0.21/0.74 & ~ ( Z @ Xx ) ) )
% 0.21/0.74 = ( ^ [Xz: a] :
% 0.21/0.74 ( ( ( X @ Xz )
% 0.21/0.74 & ~ ( ( Y @ Xz )
% 0.21/0.74 | ( Z @ Xz ) ) )
% 0.21/0.74 | ( ( Y @ Xz )
% 0.21/0.74 & ~ ( ( X @ Xz )
% 0.21/0.74 | ( Z @ Xz ) ) ) ) ) ) ).
% 0.21/0.74
% 0.21/0.74 %------------------------------------------------------------------------------
% 0.21/0.74 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Bheqb1Y4Jk/cvc5---1.0.5_18802.p...
% 0.21/0.74 (declare-sort $$unsorted 0)
% 0.21/0.74 (declare-sort tptp.a 0)
% 0.21/0.74 (assert (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool))) (= (lambda ((Xx tptp.a)) (let ((_let_1 (@ X Xx))) (let ((_let_2 (@ Y Xx))) (and (or (and _let_1 (not _let_2)) (and _let_2 (not _let_1))) (not (@ Z Xx)))))) (lambda ((Xz tptp.a)) (let ((_let_1 (@ Z Xz))) (let ((_let_2 (@ X Xz))) (let ((_let_3 (@ Y Xz))) (or (and _let_2 (not (or _let_3 _let_1))) (and _let_3 (not (or _let_2 _let_1))))))))))))
% 0.21/0.74 (set-info :filename cvc5---1.0.5_18802)
% 0.21/0.74 (check-sat-assuming ( true ))
% 0.21/0.74 ------- get file name : TPTP file name is SET621^5
% 0.21/0.74 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18802.smt2...
% 0.21/0.74 --- Run --ho-elim --full-saturate-quant at 10...
% 0.21/0.74 % SZS status Theorem for SET621^5
% 0.21/0.74 % SZS output start Proof for SET621^5
% 0.21/0.74 (
% 0.21/0.74 (let ((_let_1 (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool))) (= (lambda ((Xx tptp.a)) (let ((_let_1 (@ X Xx))) (let ((_let_2 (@ Y Xx))) (and (or (and _let_1 (not _let_2)) (and _let_2 (not _let_1))) (not (@ Z Xx)))))) (lambda ((Xz tptp.a)) (let ((_let_1 (@ Z Xz))) (let ((_let_2 (@ X Xz))) (let ((_let_3 (@ Y Xz))) (or (and _let_2 (not (or _let_3 _let_1))) (and _let_3 (not (or _let_2 _let_1))))))))))))) (let ((_let_2 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_305))) (let ((_let_3 (not _let_2))) (let ((_let_4 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_305))) (let ((_let_5 (and _let_4 _let_3))) (let ((_let_6 (not _let_4))) (let ((_let_7 (and _let_2 _let_6))) (let ((_let_8 (or _let_7 _let_5))) (let ((_let_9 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_305))) (let ((_let_10 (not _let_9))) (let ((_let_11 (and _let_4 _let_3 _let_10))) (let ((_let_12 (and _let_2 _let_6 _let_10))) (let ((_let_13 (or _let_12 _let_11))) (let ((_let_14 (ho_8 (ho_7 (ho_6 k_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_15 (ho_4 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_305))) (let ((_let_16 (= _let_15 _let_13))) (let ((_let_17 (forall ((BOUND_VARIABLE_756 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_753 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_750 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_658 tptp.a)) (let ((_let_1 (not (ho_4 BOUND_VARIABLE_750 BOUND_VARIABLE_658)))) (let ((_let_2 (ho_4 BOUND_VARIABLE_753 BOUND_VARIABLE_658))) (let ((_let_3 (ho_4 BOUND_VARIABLE_756 BOUND_VARIABLE_658))) (= (or (and _let_2 (not _let_3) _let_1) (and _let_3 (not _let_2) _let_1)) (ho_4 (ho_8 (ho_7 (ho_6 k_9 BOUND_VARIABLE_756) BOUND_VARIABLE_753) BOUND_VARIABLE_750) BOUND_VARIABLE_658)))))))) (let ((_let_18 (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_19 (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_20 (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_21 (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_22 (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_23 (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_24 (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_25 (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_26 (forall ((BOUND_VARIABLE_720 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_719 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_716 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_676 tptp.a)) (let ((_let_1 (ho_4 BOUND_VARIABLE_719 BOUND_VARIABLE_676))) (let ((_let_2 (ho_4 BOUND_VARIABLE_720 BOUND_VARIABLE_676))) (= (ho_4 (ho_8 (ho_7 (ho_6 k_5 BOUND_VARIABLE_720) BOUND_VARIABLE_719) BOUND_VARIABLE_716) BOUND_VARIABLE_676) (and (or (and _let_1 (not _let_2)) (and _let_2 (not _let_1))) (not (ho_4 BOUND_VARIABLE_716 BOUND_VARIABLE_676))))))))) (let ((_let_27 (forall ((BOUND_VARIABLE_775 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_776 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_774 |u_(-> tptp.a Bool)|)) (= (ho_8 (ho_7 (ho_6 k_5 BOUND_VARIABLE_776) BOUND_VARIABLE_775) BOUND_VARIABLE_774) (ho_8 (ho_7 (ho_6 k_9 BOUND_VARIABLE_776) BOUND_VARIABLE_775) BOUND_VARIABLE_774))))) (let ((_let_28 (not _let_27))) (let ((_let_29 (forall ((BOUND_VARIABLE_673 (-> tptp.a Bool)) (BOUND_VARIABLE_674 (-> tptp.a Bool)) (BOUND_VARIABLE_675 (-> tptp.a Bool)) (BOUND_VARIABLE_676 tptp.a)) (let ((_let_1 (@ BOUND_VARIABLE_674 BOUND_VARIABLE_676))) (let ((_let_2 (@ BOUND_VARIABLE_673 BOUND_VARIABLE_676))) (= (and (or (and _let_1 (not _let_2)) (and _let_2 (not _let_1))) (not (@ BOUND_VARIABLE_675 BOUND_VARIABLE_676))) (ll_3 BOUND_VARIABLE_673 BOUND_VARIABLE_674 BOUND_VARIABLE_675 BOUND_VARIABLE_676))))))) (let ((_let_30 (forall ((BOUND_VARIABLE_655 (-> tptp.a Bool)) (BOUND_VARIABLE_656 (-> tptp.a Bool)) (BOUND_VARIABLE_657 (-> tptp.a Bool)) (BOUND_VARIABLE_658 tptp.a)) (let ((_let_1 (not (@ BOUND_VARIABLE_657 BOUND_VARIABLE_658)))) (let ((_let_2 (@ BOUND_VARIABLE_656 BOUND_VARIABLE_658))) (let ((_let_3 (@ BOUND_VARIABLE_655 BOUND_VARIABLE_658))) (= (ll_2 BOUND_VARIABLE_655 BOUND_VARIABLE_656 BOUND_VARIABLE_657 BOUND_VARIABLE_658) (or (and _let_2 (not _let_3) _let_1) (and _let_3 (not _let_2) _let_1))))))))) (let ((_let_31 (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool))) (= (@ (@ (@ ll_2 Y) X) Z) (@ (@ (@ ll_3 Y) X) Z)))))) (let ((_let_32 (and _let_31 _let_30 _let_29))) (let ((_let_33 (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_31)))) (PREPROCESS :args ((and _let_30 _let_29)))) :args (_let_32)) (PREPROCESS :args ((= _let_32 (and _let_28 _let_17 _let_26))))) (PREPROCESS :args ((and _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18)))) :args ((and _let_28 _let_17 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18))))) (let ((_let_34 (_let_17))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_34) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_305 QUANTIFIERS_INST_E_MATCHING ((ho_4 (ho_8 (ho_7 (ho_6 k_9 BOUND_VARIABLE_756) BOUND_VARIABLE_753) BOUND_VARIABLE_750) BOUND_VARIABLE_658)))) :args _let_34))) (AND_ELIM _let_33 :args (1)) :args (_let_16 false _let_17)))) (let ((_let_36 (ho_8 (ho_7 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_37 (ho_4 _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_305))) (let ((_let_38 (= _let_15 _let_37))) (let ((_let_39 (and _let_8 _let_10))) (let ((_let_40 (= _let_37 _let_39))) (let ((_let_41 (forall ((z tptp.a)) (= (ho_4 (ho_8 (ho_7 (ho_6 k_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) z) (ho_4 (ho_8 (ho_7 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) z))))) (let ((_let_42 (not _let_38))) (let ((_let_43 (= _let_36 _let_14))) (let ((_let_44 (not _let_41))) (let ((_let_45 (or _let_44 _let_43))) (let ((_let_46 (_let_19))) (let ((_let_47 (not _let_43))) (let ((_let_48 (or))) (let ((_let_49 (_let_28))) (let ((_let_50 (_let_44))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_50)) :args _let_50)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_41))) (REFL :args (_let_42)) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_43 _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_49)) :args _let_49)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) (REFL :args (_let_47)) :args _let_48)) (AND_ELIM _let_33 :args (0)) :args (_let_47 true _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_46) :args (_let_14 _let_36 QUANTIFIERS_INST_ENUM)) :args _let_46))) (AND_ELIM _let_33 :args (9)) :args (_let_45 false _let_19)) :args (_let_44 true _let_43 false _let_45)) :args (_let_42 true _let_41)))) (let ((_let_52 (_let_38))) (let ((_let_53 (not _let_16))) (let ((_let_54 (not _let_13))) (let ((_let_55 (_let_16))) (let ((_let_56 (_let_26))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_56) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_305 QUANTIFIERS_INST_E_MATCHING ((ho_4 (ho_8 (ho_7 (ho_6 k_5 BOUND_VARIABLE_720) BOUND_VARIABLE_719) BOUND_VARIABLE_716) BOUND_VARIABLE_676)))) :args _let_56)) (AND_ELIM _let_33 :args (2)) :args (_let_40 false _let_26)))) (let ((_let_58 (not _let_40))) (let ((_let_59 (not _let_37))) (let ((_let_60 (_let_40))) (let ((_let_61 (not _let_39))) (let ((_let_62 (not _let_8))) (let ((_let_63 (not _let_7))) (let ((_let_64 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))))) (let ((_let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_3) _let_2))))) (let ((_let_66 (REFL :args (_let_6)))) (let ((_let_67 (_let_11))) (let ((_let_68 (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_7 _let_5 _let_62))))) (let ((_let_69 (not _let_5))) (let ((_let_70 (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_4))))) (let ((_let_71 (REFL :args (_let_3)))) (let ((_let_72 (_let_12))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_7 1)) :args ((or _let_6 _let_63))) _let_68 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_72) (CONG (REFL :args _let_72) _let_71 _let_70 _let_64 :args _let_48)) :args ((or _let_4 _let_9 _let_12 _let_3))) (REORDERING (CNF_AND_POS :args (_let_5 1)) :args ((or _let_3 _let_69))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_5 0)) :args ((or _let_4 _let_69))) _let_68 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_67) (CONG (REFL :args _let_67) _let_66 _let_65 _let_64 :args _let_48)) :args ((or _let_2 _let_6 _let_9 _let_11))) (REORDERING (CNF_AND_POS :args (_let_7 0)) :args ((or _let_2 _let_63))) :args ((or _let_2 _let_9 _let_11 _let_62) false _let_5 true _let_4 true _let_7)) (REORDERING (CNF_AND_POS :args (_let_39 1)) :args ((or _let_10 _let_61))) (REORDERING (CNF_AND_POS :args (_let_39 0)) :args ((or _let_8 _let_61))) (CNF_OR_NEG :args (_let_13 1)) (CNF_OR_NEG :args (_let_13 0)) (REORDERING (CNF_EQUIV_POS1 :args _let_60) :args ((or _let_59 _let_39 _let_58))) _let_57 (REORDERING (CNF_EQUIV_POS2 :args _let_55) :args ((or _let_15 _let_54 _let_53))) _let_35 (REORDERING (CNF_EQUIV_NEG1 :args _let_52) :args ((or _let_15 _let_37 _let_38))) _let_51 :args (_let_15 false _let_7 false _let_4 true _let_5 false _let_2 true _let_9 false _let_8 true _let_11 true _let_12 false _let_39 false _let_40 true _let_13 false _let_16 false _let_37 true _let_38)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_55) :args ((or (not _let_15) _let_13 _let_53))) _let_73 _let_35 :args (_let_13 false _let_15 false _let_16)))) (let ((_let_75 (not _let_12))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_60) :args ((or _let_37 _let_61 _let_58))) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_52) _let_51 _let_73 :args (_let_59 true _let_38 false _let_15)) _let_57 :args (_let_61 true _let_37 false _let_40)))) (let ((_let_77 (not _let_11))) (let ((_let_78 (REORDERING (CNF_OR_POS :args (_let_13)) :args ((or _let_12 _let_11 _let_54))))) (let ((_let_79 (_let_7))) (let ((_let_80 (_let_39))) (let ((_let_81 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_80) (CONG (REFL :args _let_80) (REFL :args (_let_62)) _let_64 :args _let_48)) :args ((or _let_9 _let_39 _let_62))))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_8 0)) _let_81 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_79) (CONG (REFL :args _let_79) _let_71 _let_70 :args _let_48)) :args ((or _let_4 _let_3 _let_7))) (REORDERING (CNF_AND_POS :args (_let_12 2)) :args ((or _let_10 _let_75))) (REORDERING (CNF_AND_POS :args (_let_12 1)) :args ((or _let_6 _let_75))) _let_78 (REORDERING (CNF_AND_POS :args (_let_11 1)) :args ((or _let_3 _let_77))) :args ((or _let_3 _let_39 _let_54) true _let_8 false _let_7 true _let_9 true _let_4 false _let_12 true _let_11)) _let_76 _let_74 :args (_let_3 true _let_39 false _let_13)))) (let ((_let_83 (MACRO_RESOLUTION_TRUST _let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_12 0)) :args ((or _let_2 _let_75))) _let_82 :args (_let_75 true _let_2)) _let_74 :args (_let_11 true _let_12 false _let_13)))) (let ((_let_84 (_let_5))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_8 1)) (MACRO_RESOLUTION_TRUST _let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_11 2)) :args ((or _let_10 _let_77))) _let_83 :args (_let_10 false _let_11)) _let_76 :args (_let_62 true _let_9 true _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_84) (CONG (REFL :args _let_84) _let_66 _let_65 :args _let_48)) :args ((or _let_2 _let_6 _let_5))) _let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_11 0)) :args ((or _let_4 _let_77))) _let_83 :args (_let_4 false _let_11)) :args (_let_5 true _let_2 false _let_4)) :args (false true _let_8 false _let_5)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.74 )
% 0.21/0.74 % SZS output end Proof for SET621^5
% 0.21/0.75 % cvc5---1.0.5 exiting
% 0.21/0.75 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------