TSTP Solution File: SEV387^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV387^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 19:22:22 EDT 2023
% Result : Theorem 0.36s 0.91s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SEV387^5 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 03:04:57 EDT 2023
% 0.22/0.36 % CPUTime :
% 0.22/0.52 %----Proving TH0
% 0.36/0.91 %------------------------------------------------------------------------------
% 0.36/0.91 % File : SEV387^5 : TPTP v8.1.2. Released v4.0.0.
% 0.36/0.91 % Domain : Set Theory
% 0.36/0.91 % Problem : TPS problem GAZING-THM44
% 0.36/0.91 % Version : Especial.
% 0.36/0.91 % English :
% 0.36/0.91
% 0.36/0.91 % Refs : [Bar92] Barker-Plummer D (1992), Gazing: An Approach to the Pr
% 0.36/0.91 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.36/0.91 % Source : [Bro09]
% 0.36/0.91 % Names : tps_0489 [Bro09]
% 0.36/0.91 % : 44 [Bar92]
% 0.36/0.91 % : GAZING-THM44 [TPS]
% 0.36/0.91
% 0.36/0.91 % Status : Theorem
% 0.36/0.91 % Rating : 0.08 v8.1.0, 0.00 v7.4.0, 0.11 v7.2.0, 0.00 v7.1.0, 0.12 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.14 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
% 0.36/0.91 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 0.36/0.91 % Number of atoms : 1 ( 1 equ; 0 cnn)
% 0.36/0.91 % Maximal formula atoms : 1 ( 1 avg)
% 0.36/0.91 % Number of connectives : 28 ( 4 ~; 2 |; 9 &; 13 @)
% 0.36/0.91 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.36/0.91 % Maximal formula depth : 4 ( 4 avg)
% 0.36/0.91 % Number of types : 2 ( 1 usr)
% 0.36/0.91 % Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% 0.36/0.91 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.36/0.91 % Number of variables : 5 ( 2 ^; 3 !; 0 ?; 5 :)
% 0.36/0.91 % SPC : TH0_THM_EQU_NAR
% 0.36/0.91
% 0.36/0.91 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.36/0.91 % project in the Department of Mathematical Sciences at Carnegie
% 0.36/0.91 % Mellon University. Distributed under the Creative Commons copyleft
% 0.36/0.91 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.36/0.91 % : Polymorphic definitions expanded.
% 0.36/0.91 %------------------------------------------------------------------------------
% 0.36/0.91 thf(a_type,type,
% 0.36/0.91 a: $tType ).
% 0.36/0.91
% 0.36/0.91 thf(cGAZING_THM44_pme,conjecture,
% 0.36/0.91 ! [S: a > $o,T: a > $o,U: a > $o] :
% 0.36/0.91 ( ( ^ [Xx: a] :
% 0.36/0.91 ( ( S @ Xx )
% 0.36/0.91 & ( ( ( T @ Xx )
% 0.36/0.91 & ~ ( U @ Xx ) )
% 0.36/0.91 | ( ( U @ Xx )
% 0.36/0.91 & ~ ( T @ Xx ) ) ) ) )
% 0.36/0.91 = ( ^ [Xz: a] :
% 0.36/0.91 ( ( ( S @ Xz )
% 0.36/0.91 & ( T @ Xz )
% 0.36/0.91 & ~ ( ( S @ Xz )
% 0.36/0.91 & ( U @ Xz ) ) )
% 0.36/0.91 | ( ( S @ Xz )
% 0.36/0.91 & ( U @ Xz )
% 0.36/0.91 & ~ ( ( S @ Xz )
% 0.36/0.91 & ( T @ Xz ) ) ) ) ) ) ).
% 0.36/0.91
% 0.36/0.91 %------------------------------------------------------------------------------
% 0.36/0.91 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.w1ZrBsebMJ/cvc5---1.0.5_13928.p...
% 0.36/0.91 (declare-sort $$unsorted 0)
% 0.36/0.91 (declare-sort tptp.a 0)
% 0.36/0.91 (assert (not (forall ((S (-> tptp.a Bool)) (T (-> tptp.a Bool)) (U (-> tptp.a Bool))) (= (lambda ((Xx tptp.a)) (let ((_let_1 (@ T Xx))) (let ((_let_2 (@ U Xx))) (and (@ S Xx) (or (and _let_1 (not _let_2)) (and _let_2 (not _let_1))))))) (lambda ((Xz tptp.a)) (let ((_let_1 (@ T Xz))) (let ((_let_2 (@ S Xz))) (let ((_let_3 (@ U Xz))) (or (and _let_2 _let_1 (not (and _let_2 _let_3))) (and _let_2 _let_3 (not (and _let_2 _let_1))))))))))))
% 0.36/0.91 (set-info :filename cvc5---1.0.5_13928)
% 0.36/0.91 (check-sat-assuming ( true ))
% 0.36/0.91 ------- get file name : TPTP file name is SEV387^5
% 0.36/0.91 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_13928.smt2...
% 0.36/0.91 --- Run --ho-elim --full-saturate-quant at 10...
% 0.36/0.91 % SZS status Theorem for SEV387^5
% 0.36/0.91 % SZS output start Proof for SEV387^5
% 0.36/0.91 (
% 0.36/0.91 (let ((_let_1 (not (forall ((S (-> tptp.a Bool)) (T (-> tptp.a Bool)) (U (-> tptp.a Bool))) (= (lambda ((Xx tptp.a)) (let ((_let_1 (@ T Xx))) (let ((_let_2 (@ U Xx))) (and (@ S Xx) (or (and _let_1 (not _let_2)) (and _let_2 (not _let_1))))))) (lambda ((Xz tptp.a)) (let ((_let_1 (@ T Xz))) (let ((_let_2 (@ S Xz))) (let ((_let_3 (@ U Xz))) (or (and _let_2 _let_1 (not (and _let_2 _let_3))) (and _let_2 _let_3 (not (and _let_2 _let_1))))))))))))) (let ((_let_2 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_408))) (let ((_let_3 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_408))) (let ((_let_4 (not _let_3))) (let ((_let_5 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_408))) (let ((_let_6 (not _let_5))) (let ((_let_7 (or _let_6 _let_4))) (let ((_let_8 (and _let_5 _let_2 _let_7))) (let ((_let_9 (and _let_2 _let_4))) (let ((_let_10 (not _let_2))) (let ((_let_11 (and _let_3 _let_10))) (let ((_let_12 (or _let_11 _let_9))) (let ((_let_13 (not _let_9))) (let ((_let_14 (and _let_5 _let_12))) (let ((_let_15 (not _let_12))) (let ((_let_16 (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_17 (ho_4 _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_408))) (let ((_let_18 (= _let_17 _let_14))) (let ((_let_19 (not _let_14))) (let ((_let_20 (forall ((BOUND_VARIABLE_717 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_716 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_713 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_674 tptp.a)) (let ((_let_1 (ho_4 BOUND_VARIABLE_713 BOUND_VARIABLE_674))) (let ((_let_2 (ho_4 BOUND_VARIABLE_716 BOUND_VARIABLE_674))) (= (ho_4 (ho_8 (ho_7 (ho_6 k_5 BOUND_VARIABLE_717) BOUND_VARIABLE_716) BOUND_VARIABLE_713) BOUND_VARIABLE_674) (and (ho_4 BOUND_VARIABLE_717 BOUND_VARIABLE_674) (or (and _let_1 (not _let_2)) (and _let_2 (not _let_1)))))))))) (let ((_let_21 (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_22 (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_23 (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_24 (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_25 (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_26 (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_27 (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_28 (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_29 (forall ((BOUND_VARIABLE_753 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_749 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_746 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_656 tptp.a)) (let ((_let_1 (ho_4 BOUND_VARIABLE_746 BOUND_VARIABLE_656))) (let ((_let_2 (ho_4 BOUND_VARIABLE_749 BOUND_VARIABLE_656))) (let ((_let_3 (not _let_2))) (let ((_let_4 (ho_4 BOUND_VARIABLE_753 BOUND_VARIABLE_656))) (= (or (and _let_2 _let_1 (or _let_3 (not _let_4))) (and _let_2 _let_4 (or _let_3 (not _let_1)))) (ho_4 (ho_8 (ho_7 (ho_6 k_9 BOUND_VARIABLE_753) BOUND_VARIABLE_749) BOUND_VARIABLE_746) BOUND_VARIABLE_656))))))))) (let ((_let_30 (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_773) BOUND_VARIABLE_774) BOUND_VARIABLE_772))))) (let ((_let_31 (not _let_30))) (let ((_let_32 (forall ((BOUND_VARIABLE_671 (-> tptp.a Bool)) (BOUND_VARIABLE_672 (-> tptp.a Bool)) (BOUND_VARIABLE_673 (-> tptp.a Bool)) (BOUND_VARIABLE_674 tptp.a)) (let ((_let_1 (@ BOUND_VARIABLE_673 BOUND_VARIABLE_674))) (let ((_let_2 (@ BOUND_VARIABLE_672 BOUND_VARIABLE_674))) (= (and (@ BOUND_VARIABLE_671 BOUND_VARIABLE_674) (or (and _let_1 (not _let_2)) (and _let_2 (not _let_1)))) (ll_3 BOUND_VARIABLE_671 BOUND_VARIABLE_672 BOUND_VARIABLE_673 BOUND_VARIABLE_674))))))) (let ((_let_33 (forall ((BOUND_VARIABLE_653 (-> tptp.a Bool)) (BOUND_VARIABLE_654 (-> tptp.a Bool)) (BOUND_VARIABLE_655 (-> tptp.a Bool)) (BOUND_VARIABLE_656 tptp.a)) (let ((_let_1 (@ BOUND_VARIABLE_655 BOUND_VARIABLE_656))) (let ((_let_2 (@ BOUND_VARIABLE_654 BOUND_VARIABLE_656))) (let ((_let_3 (not _let_2))) (let ((_let_4 (@ BOUND_VARIABLE_653 BOUND_VARIABLE_656))) (= (ll_2 BOUND_VARIABLE_653 BOUND_VARIABLE_654 BOUND_VARIABLE_655 BOUND_VARIABLE_656) (or (and _let_2 _let_1 (or _let_3 (not _let_4))) (and _let_2 _let_4 (or _let_3 (not _let_1)))))))))))) (let ((_let_34 (not (forall ((S (-> tptp.a Bool)) (T (-> tptp.a Bool)) (U (-> tptp.a Bool))) (= (@ (@ (@ ll_2 U) S) T) (@ (@ (@ ll_3 S) U) T)))))) (let ((_let_35 (and _let_34 _let_33 _let_32))) (let ((_let_36 (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_34)))) (PREPROCESS :args ((and _let_33 _let_32)))) :args (_let_35)) (PREPROCESS :args ((= _let_35 (and _let_31 _let_29 _let_20))))) (PREPROCESS :args ((and _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21)))) :args ((and _let_31 _let_29 _let_20 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21))))) (let ((_let_37 (_let_20))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_37) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_408 QUANTIFIERS_INST_E_MATCHING ((ho_4 (ho_8 (ho_7 (ho_6 k_5 BOUND_VARIABLE_717) BOUND_VARIABLE_716) BOUND_VARIABLE_713) BOUND_VARIABLE_674)))) :args _let_37)) (AND_ELIM _let_36 :args (2)) :args (_let_18 false _let_20)))) (let ((_let_39 (ho_8 (ho_7 (ho_6 k_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_40 (ho_4 _let_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_408))) (let ((_let_41 (= _let_17 _let_40))) (let ((_let_42 (or _let_6 _let_10))) (let ((_let_43 (and _let_5 _let_3 _let_42))) (let ((_let_44 (or _let_43 _let_8))) (let ((_let_45 (= _let_40 _let_44))) (let ((_let_46 (not _let_17))) (let ((_let_47 (forall ((z tptp.a)) (= (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) (ho_4 (ho_8 (ho_7 (ho_6 k_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) z))))) (let ((_let_48 (not _let_41))) (let ((_let_49 (= _let_16 _let_39))) (let ((_let_50 (not _let_47))) (let ((_let_51 (or _let_50 _let_49))) (let ((_let_52 (_let_22))) (let ((_let_53 (not _let_49))) (let ((_let_54 (or))) (let ((_let_55 (_let_31))) (let ((_let_56 (_let_50))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_56)) :args _let_56)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_47))) (REFL :args (_let_48)) :args _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_49 _let_50 (not _let_51)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_55)) :args _let_55)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) (REFL :args (_let_53)) :args _let_54)) (AND_ELIM _let_36 :args (0)) :args (_let_53 true _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_52) :args (_let_39 _let_16 QUANTIFIERS_INST_ENUM)) :args _let_52))) (AND_ELIM _let_36 :args (9)) :args (_let_51 false _let_22)) :args (_let_50 true _let_49 false _let_51)) :args (_let_48 true _let_47)))) (let ((_let_58 (_let_41))) (let ((_let_59 (not _let_18))) (let ((_let_60 (_let_18))) (let ((_let_61 (_let_29))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_61) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_408 QUANTIFIERS_INST_E_MATCHING ((ho_4 (ho_8 (ho_7 (ho_6 k_9 BOUND_VARIABLE_753) BOUND_VARIABLE_749) BOUND_VARIABLE_746) BOUND_VARIABLE_656)))) :args _let_61))) (AND_ELIM _let_36 :args (1)) :args (_let_45 false _let_29)))) (let ((_let_63 (not _let_45))) (let ((_let_64 (not _let_44))) (let ((_let_65 (_let_45))) (let ((_let_66 (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))))) (let ((_let_67 (_let_7))) (let ((_let_68 (not _let_11))) (let ((_let_69 (not _let_7))) (let ((_let_70 (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_11 _let_9 _let_15))))) (let ((_let_71 (not _let_42))) (let ((_let_72 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_2))))) (let ((_let_73 (_let_42))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_11 1)) :args ((or _let_10 _let_68))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 1)) (CONG (REFL :args _let_73) _let_72 :args _let_54)) :args ((or _let_2 _let_42))) _let_70 (REORDERING (CNF_AND_NEG :args (_let_43)) :args ((or _let_6 _let_43 _let_4 _let_71))) (REORDERING (CNF_AND_POS :args (_let_9 1)) :args ((or _let_4 _let_13))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_9 0)) :args ((or _let_2 _let_13))) _let_70 (REORDERING (CNF_AND_NEG :args (_let_8)) :args ((or _let_6 _let_10 _let_8 _let_69))) (REORDERING (CNF_AND_POS :args (_let_11 0)) :args ((or _let_3 _let_68))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_7 1)) (CONG (REFL :args _let_67) _let_66 :args _let_54)) :args ((or _let_3 _let_7))) :args ((or _let_3 _let_6 _let_8 _let_15) false _let_9 true _let_2 true _let_11 false _let_7)) (CNF_OR_NEG :args (_let_44 1)) (CNF_OR_NEG :args (_let_44 0)) (REORDERING (CNF_AND_POS :args (_let_14 1)) :args ((or _let_12 _let_19))) (REORDERING (CNF_AND_POS :args (_let_14 0)) :args ((or _let_5 _let_19))) (REORDERING (CNF_EQUIV_POS2 :args _let_65) :args ((or _let_40 _let_64 _let_63))) _let_62 (REORDERING (CNF_EQUIV_POS1 :args _let_60) :args ((or _let_46 _let_14 _let_59))) _let_38 (CNF_EQUIV_NEG2 :args _let_58) _let_57 :args (_let_46 false _let_2 false _let_11 true _let_42 true _let_9 false _let_3 true _let_8 true _let_43 false _let_12 false _let_5 true _let_44 false _let_45 false _let_14 false _let_18 true _let_40 true _let_41)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_65) :args ((or (not _let_40) _let_44 _let_63))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_58) :args ((or _let_17 _let_40 _let_41))) _let_74 _let_57 :args (_let_40 true _let_17 true _let_41)) _let_62 :args (_let_44 false _let_40 false _let_45)))) (let ((_let_76 (not _let_43))) (let ((_let_77 (not _let_8))) (let ((_let_78 (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_8 _let_64))))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_78 (REORDERING (CNF_AND_POS :args (_let_8 0)) :args ((or _let_5 _let_77))) (REORDERING (CNF_AND_POS :args (_let_43 0)) :args ((or _let_5 _let_76))) :args ((or _let_5 _let_64) true _let_8 true _let_43)) _let_75 :args (_let_5 false _let_44)))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_14)) :args ((or _let_6 _let_14 _let_15))) _let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_60) :args ((or _let_17 _let_19 _let_59))) _let_74 _let_38 :args (_let_19 true _let_17 false _let_18)) :args (_let_15 false _let_5 true _let_14)))) (let ((_let_81 (_let_11))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_43 2)) :args ((or _let_42 _let_76))) _let_78 _let_75 (REORDERING (CNF_OR_POS :args _let_73) :args ((or _let_6 _let_10 _let_71))) _let_79 (REORDERING (CNF_AND_POS :args (_let_8 2)) :args ((or _let_7 _let_77))) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_81) (CONG (REFL :args _let_81) (REFL :args (_let_4)) _let_72 :args _let_54)) :args ((or _let_2 _let_4 _let_11))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_12 0)) _let_80 :args (_let_68 true _let_12)) (REORDERING (CNF_OR_POS :args _let_67) :args ((or _let_6 _let_4 _let_69))) _let_79 :args (_let_4 false _let_43 false _let_44 true _let_42 false _let_5 true _let_8 false _let_2 true _let_11 true _let_7 false _let_5)))) (let ((_let_83 (_let_9))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_8 1)) :args ((or _let_2 _let_77))) (MACRO_RESOLUTION_TRUST _let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_43 1)) :args ((or _let_3 _let_76))) _let_82 :args (_let_76 true _let_3)) _let_75 :args (_let_8 true _let_43 false _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_83) (CONG (REFL :args _let_83) (REFL :args (_let_10)) _let_66 :args _let_54)) :args ((or _let_3 _let_10 _let_9))) _let_82 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_12 1)) _let_80 :args (_let_13 true _let_12)) :args (_let_10 true _let_3 true _let_9)) :args (false false _let_8 true _let_2)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.36/0.92 )
% 0.36/0.92 % SZS output end Proof for SEV387^5
% 0.36/0.92 % cvc5---1.0.5 exiting
% 0.36/0.92 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------