TSTP Solution File: SEV293^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV293^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 19:22:07 EDT 2023
% Result : Theorem 1.03s 1.20s
% Output : Proof 1.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEV293^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n008.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 02:29:47 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.51 %----Proving TH0
% 1.03/1.20 %------------------------------------------------------------------------------
% 1.03/1.20 % File : SEV293^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% 1.03/1.20 % Domain : Set Theory
% 1.03/1.20 % Problem : TPS problem X6101
% 1.03/1.20 % Version : Especial.
% 1.03/1.20 % English :
% 1.03/1.20
% 1.03/1.20 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 1.03/1.20 % Source : [Bro09]
% 1.03/1.20 % Names : tps_0455 [Bro09]
% 1.03/1.20 % : X6101 [TPS]
% 1.03/1.20
% 1.03/1.20 % Status : Theorem
% 1.03/1.20 % Rating : 0.46 v8.1.0, 0.27 v7.5.0, 0.14 v7.4.0, 0.22 v7.2.0, 0.12 v7.1.0, 0.25 v7.0.0, 0.43 v6.4.0, 0.33 v6.3.0, 0.60 v6.2.0
% 1.03/1.20 % Syntax : Number of formulae : 7 ( 4 unt; 3 typ; 3 def)
% 1.03/1.20 % Number of atoms : 13 ( 7 equ; 0 cnn)
% 1.03/1.20 % Maximal formula atoms : 1 ( 3 avg)
% 1.03/1.20 % Number of connectives : 10 ( 2 ~; 0 |; 2 &; 6 @)
% 1.03/1.20 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 1.03/1.20 % Maximal formula depth : 1 ( 1 avg)
% 1.03/1.20 % Number of types : 2 ( 0 usr)
% 1.03/1.20 % Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% 1.03/1.20 % Number of symbols : 4 ( 3 usr; 0 con; 1-2 aty)
% 1.03/1.20 % Number of variables : 10 ( 7 ^; 0 !; 3 ?; 10 :)
% 1.03/1.20 % SPC : TH0_THM_EQU_NAR
% 1.03/1.20
% 1.03/1.20 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 1.03/1.20 % project in the Department of Mathematical Sciences at Carnegie
% 1.03/1.20 % Mellon University. Distributed under the Creative Commons copyleft
% 1.03/1.20 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 1.03/1.20 % : Polymorphic definitions expanded.
% 1.03/1.20 % Bugfixes : v5.2.0 - Added missing type declarations.
% 1.03/1.20 % : v6.2.0 - Reordered definitions.
% 1.03/1.20 %------------------------------------------------------------------------------
% 1.03/1.20 thf(cONE_type,type,
% 1.03/1.20 cONE: ( $i > $o ) > $o ).
% 1.03/1.20
% 1.03/1.20 thf(cSUCC_type,type,
% 1.03/1.20 cSUCC: ( ( $i > $o ) > $o ) > ( $i > $o ) > $o ).
% 1.03/1.20
% 1.03/1.20 thf(cZERO_type,type,
% 1.03/1.20 cZERO: ( $i > $o ) > $o ).
% 1.03/1.20
% 1.03/1.20 thf(cZERO_def,definition,
% 1.03/1.20 ( cZERO
% 1.03/1.20 = ( ^ [Xp: $i > $o] :
% 1.03/1.20 ~ ? [Xx: $i] : ( Xp @ Xx ) ) ) ).
% 1.03/1.20
% 1.03/1.20 thf(cONE_def,definition,
% 1.03/1.20 ( cONE
% 1.03/1.20 = ( cSUCC @ cZERO ) ) ).
% 1.03/1.20
% 1.03/1.20 thf(cSUCC_def,definition,
% 1.03/1.20 ( cSUCC
% 1.03/1.20 = ( ^ [Xn: ( $i > $o ) > $o,Xp: $i > $o] :
% 1.03/1.20 ? [Xx: $i] :
% 1.03/1.20 ( ( Xp @ Xx )
% 1.03/1.20 & ( Xn
% 1.03/1.20 @ ^ [Xt: $i] :
% 1.03/1.20 ( ( Xt != Xx )
% 1.03/1.20 & ( Xp @ Xt ) ) ) ) ) ) ).
% 1.03/1.20
% 1.03/1.20 thf(cX6101_pme,conjecture,
% 1.03/1.20 ( cONE
% 1.03/1.20 = ( ^ [P: $i > $o] :
% 1.03/1.20 ? [Xy: $i] :
% 1.03/1.20 ( P
% 1.03/1.20 = ( ^ [Xx: $i,Xy: $i] : ( Xx = Xy )
% 1.03/1.20 @ Xy ) ) ) ) ).
% 1.03/1.20
% 1.03/1.20 %------------------------------------------------------------------------------
% 1.03/1.20 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.qhbpgv7YJT/cvc5---1.0.5_5208.p...
% 1.03/1.20 (declare-sort $$unsorted 0)
% 1.03/1.20 (declare-fun tptp.cONE ((-> $$unsorted Bool)) Bool)
% 1.03/1.20 (declare-fun tptp.cSUCC ((-> (-> $$unsorted Bool) Bool) (-> $$unsorted Bool)) Bool)
% 1.03/1.20 (declare-fun tptp.cZERO ((-> $$unsorted Bool)) Bool)
% 1.03/1.20 (assert (= tptp.cZERO (lambda ((Xp (-> $$unsorted Bool))) (not (exists ((Xx $$unsorted)) (@ Xp Xx))))))
% 1.03/1.20 (assert (= tptp.cONE (@ tptp.cSUCC tptp.cZERO)))
% 1.03/1.20 (assert (= tptp.cSUCC (lambda ((Xn (-> (-> $$unsorted Bool) Bool)) (Xp (-> $$unsorted Bool))) (exists ((Xx $$unsorted)) (and (@ Xp Xx) (@ Xn (lambda ((Xt $$unsorted)) (and (not (= Xt Xx)) (@ Xp Xt)))))))))
% 1.03/1.20 (assert (not (= tptp.cONE (lambda ((P (-> $$unsorted Bool))) (exists ((Xy $$unsorted)) (= P (@ (lambda ((Xx $$unsorted) (Xy $$unsorted)) (= Xx Xy)) Xy)))))))
% 1.03/1.20 (set-info :filename cvc5---1.0.5_5208)
% 1.03/1.20 (check-sat-assuming ( true ))
% 1.03/1.20 ------- get file name : TPTP file name is SEV293^5
% 1.03/1.20 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_5208.smt2...
% 1.03/1.20 --- Run --ho-elim --full-saturate-quant at 10...
% 1.03/1.20 % SZS status Theorem for SEV293^5
% 1.03/1.20 % SZS output start Proof for SEV293^5
% 1.03/1.20 (
% 1.03/1.20 (let ((_let_1 (not (= tptp.cONE (lambda ((P (-> $$unsorted Bool))) (exists ((Xy $$unsorted)) (= P (@ (lambda ((Xx $$unsorted) (Xy $$unsorted)) (= Xx Xy)) Xy)))))))) (let ((_let_2 (= tptp.cSUCC (lambda ((Xn (-> (-> $$unsorted Bool) Bool)) (Xp (-> $$unsorted Bool))) (exists ((Xx $$unsorted)) (and (@ Xp Xx) (@ Xn (lambda ((Xt $$unsorted)) (and (not (= Xt Xx)) (@ Xp Xt)))))))))) (let ((_let_3 (= tptp.cONE (@ tptp.cSUCC tptp.cZERO)))) (let ((_let_4 (= tptp.cZERO (lambda ((Xp (-> $$unsorted Bool))) (not (exists ((Xx $$unsorted)) (@ Xp Xx))))))) (let ((_let_5 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_6 (ho_7 _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_623))) (let ((_let_7 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_623))) (let ((_let_8 (= _let_7 _let_6))) (let ((_let_9 (forall ((BOUND_VARIABLE_751 $$unsorted) (BOUND_VARIABLE_752 $$unsorted)) (= (= BOUND_VARIABLE_751 BOUND_VARIABLE_752) (ho_7 (ho_6 k_5 BOUND_VARIABLE_751) BOUND_VARIABLE_752))))) (let ((_let_10 (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= i ii) e (ho_7 u ii)))))))))) (let ((_let_11 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_7 x z) (ho_7 y z)))) (= x y))))) (let ((_let_12 (forall ((u |u_(-> $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii)))))))))) (let ((_let_13 (forall ((x |u_(-> $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_6 x z) (ho_6 y z)))) (= x y))))) (let ((_let_14 (forall ((u |u_(-> _u_(-> $$unsorted Bool)_ Bool)|) (e Bool) (i |u_(-> $$unsorted Bool)|)) (not (forall ((v |u_(-> _u_(-> $$unsorted Bool)_ Bool)|)) (not (forall ((ii |u_(-> $$unsorted Bool)|)) (= (ho_9 v ii) (ite (= i ii) e (ho_9 u ii)))))))))) (let ((_let_15 (forall ((x |u_(-> _u_(-> $$unsorted Bool)_ Bool)|) (y |u_(-> _u_(-> $$unsorted Bool)_ Bool)|)) (or (not (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_9 x z) (ho_9 y z)))) (= x y))))) (let ((_let_16 (forall ((BOUND_VARIABLE_779 |u_(-> $$unsorted Bool)|)) (= (ho_9 k_8 BOUND_VARIABLE_779) (not (forall ((Xy $$unsorted)) (not (= (ho_6 k_5 Xy) BOUND_VARIABLE_779)))))))) (let ((_let_17 (forall ((BOUND_VARIABLE_795 |u_(-> $$unsorted Bool)|)) (= (ho_9 k_10 BOUND_VARIABLE_795) (not (forall ((Xx $$unsorted)) (or (not (ho_7 BOUND_VARIABLE_795 Xx)) (not (forall ((Xx $$unsorted)) (or (= Xx Xx) (not (ho_7 BOUND_VARIABLE_795 Xx)))))))))))) (let ((_let_18 (and (forall ((BOUND_VARIABLE_715 (-> $$unsorted Bool))) (= (not (forall ((Xx $$unsorted)) (or (not (@ BOUND_VARIABLE_715 Xx)) (not (forall ((Xx $$unsorted)) (or (= Xx Xx) (not (@ BOUND_VARIABLE_715 Xx)))))))) (ll_2 BOUND_VARIABLE_715))) (forall ((BOUND_VARIABLE_730 (-> $$unsorted Bool))) (= (ll_3 BOUND_VARIABLE_730) (not (forall ((Xy $$unsorted)) (not (= BOUND_VARIABLE_730 (@ ll_4 Xy))))))) (forall ((BOUND_VARIABLE_751 $$unsorted) (BOUND_VARIABLE_752 $$unsorted)) (= (= BOUND_VARIABLE_751 BOUND_VARIABLE_752) (ll_4 BOUND_VARIABLE_751 BOUND_VARIABLE_752)))))) (let ((_let_19 (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (PREPROCESS_LEMMA :args (_let_18)) (PREPROCESS :args ((= _let_18 (and _let_17 _let_16 _let_9))))) (PREPROCESS :args ((and _let_15 _let_14 _let_13 _let_12 _let_11 _let_10)))) :args ((and _let_17 _let_16 _let_9 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10))))) (let ((_let_20 (AND_ELIM _let_19 :args (2)))) (let ((_let_21 (_let_9))) (let ((_let_22 (ho_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_623))) (let ((_let_23 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94))) (let ((_let_24 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94))) (let ((_let_25 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 _let_24))) (let ((_let_26 (not _let_22))) (let ((_let_27 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_623))) (let ((_let_28 (or _let_27 _let_26))) (let ((_let_29 (forall ((Xx $$unsorted)) (or (= Xx SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94) (not (ho_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 Xx)))))) (let ((_let_30 (not _let_28))) (let ((_let_31 (not _let_29))) (let ((_let_32 (ho_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31))) (let ((_let_35 (forall ((Xx $$unsorted)) (or (not (ho_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 Xx)) (not (forall ((Xx $$unsorted)) (or (= Xx Xx) (not (ho_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 Xx))))))))) (let ((_let_36 (not _let_35))) (let ((_let_37 (ho_9 k_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_38 (= _let_37 _let_36))) (let ((_let_39 (AND_ELIM _let_19 :args (0)))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_9 k_10 BOUND_VARIABLE_795)))) :args (_let_17))) _let_39 :args (_let_38 false _let_17)))) (let ((_let_41 (ho_9 k_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_42 (= _let_37 _let_41))) (let ((_let_43 (forall ((Xy $$unsorted)) (not (= (ho_6 k_5 Xy) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))))) (let ((_let_44 (not _let_43))) (let ((_let_45 (= _let_41 _let_44))) (let ((_let_46 (forall ((Xx $$unsorted)) (or (= Xx SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35) (not (ho_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 Xx)))))) (let ((_let_47 (not _let_46))) (let ((_let_48 (ho_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_47))) (let ((_let_51 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 _let_5))) (let ((_let_52 (forall ((z $$unsorted)) (= (ho_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 z) (ho_7 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35) z))))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_51))) (let ((_let_55 (ho_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_617))) (let ((_let_56 (not _let_55))) (let ((_let_57 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_617))) (let ((_let_58 (or _let_57 _let_56))) (let ((_let_59 (ho_7 _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_617))) (let ((_let_60 (= _let_55 _let_59))) (let ((_let_61 (= _let_59 _let_57))) (let ((_let_62 (not _let_37))) (let ((_let_63 (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_9 k_10 z) (ho_9 k_8 z))))) (let ((_let_64 (not _let_42))) (let ((_let_65 (= k_8 k_10))) (let ((_let_66 (not _let_63))) (let ((_let_67 (or _let_66 _let_65))) (let ((_let_68 (AND_ELIM _let_19 :args (3)))) (let ((_let_69 (not (= ll_2 ll_3)))) (let ((_let_70 (lambda ((P (-> $$unsorted Bool))) (not (forall ((Xy $$unsorted)) (not (= P (lambda ((Xy $$unsorted)) (= Xy Xy))))))))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (or))) (let ((_let_73 (_let_66))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_73)) :args _let_73)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_63))) (REFL :args (_let_64)) :args _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_65 _let_66 (not _let_67)))) (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO _let_71 :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) _let_71) :args ((not (= tptp.cONE _let_70)) SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (= _let_70 (lambda ((Xp (-> $$unsorted Bool))) (not (forall ((Xx $$unsorted)) (or (not (@ Xp Xx)) (not (forall ((Xx $$unsorted)) (or (= Xx Xx) (not (@ Xp Xx))))))))))) _let_69))) (PREPROCESS :args ((= _let_69 (not _let_65)))))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_68 :args (k_10 k_8 QUANTIFIERS_INST_ENUM)) :args (_let_15)))) _let_68 :args (_let_67 false _let_15)) :args (_let_66 true _let_65 false _let_67)) :args (_let_64 true _let_63)))) (let ((_let_75 (_let_42))) (let ((_let_76 (not _let_38))) (let ((_let_77 (_let_38))) (let ((_let_78 (AND_ELIM _let_19 :args (1)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_9 k_8 BOUND_VARIABLE_779)))) :args (_let_16))) _let_78 :args (_let_45 false _let_16)))) (let ((_let_80 (not _let_45))) (let ((_let_81 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))))) (let ((_let_82 (_let_45))) (let ((_let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))))) (let ((_let_84 (_let_36))) (let ((_let_85 (_let_43))) (let ((_let_86 (REFL :args (_let_50)))) (let ((_let_87 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))))) (let ((_let_88 (AND_ELIM _let_19 :args (7)))) (let ((_let_89 (_let_46))) (let ((_let_90 (ASSUME :args _let_89))) (let ((_let_91 (_let_53))) (let ((_let_92 (not _let_58))) (let ((_let_93 (_let_60))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_617 QUANTIFIERS_INST_CBQI_PROP)) :args _let_21))) _let_20 :args (_let_61 false _let_9)))) (let ((_let_95 (not _let_61))) (let ((_let_96 (not _let_57))) (let ((_let_97 (_let_61))) (let ((_let_98 (ASSUME :args (_let_48)))) (let ((_let_99 (APPLY_UF ho_7))) (let ((_let_100 (ASSUME :args (_let_57)))) (let ((_let_101 (ASSUME :args (_let_56)))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_98 _let_100 _let_101) :args (_let_48 _let_56 _let_57)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_101)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32)) (SYMM _let_100) :args _let_99) (TRUE_INTRO _let_98))) :args (_let_48 _let_57 _let_56)) :args ((not (and _let_48 _let_56 _let_57)) SB_LITERAL))) (CONG (REFL :args (_let_49)) (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_55))) (REFL :args (_let_96)) :args _let_72)) (REORDERING (CNF_EQUIV_POS1 :args _let_97) :args ((or (not _let_59) _let_57 _let_95))) _let_94 (REORDERING (CNF_EQUIV_NEG1 :args _let_93) :args ((or _let_55 _let_59 _let_60))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_97) :args ((or _let_59 _let_96 _let_95))) _let_94 (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_56 _let_57 _let_92))) (CNF_EQUIV_NEG2 :args _let_93) :args ((or _let_60 _let_56 _let_92) false _let_61 false _let_57 true _let_59)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_91)) :args _let_91)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_52))) (REFL :args ((not _let_60))) :args _let_72)) (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_90 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_617 QUANTIFIERS_INST_CBQI_PROP)) :args _let_89))) (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_51 _let_53 (not _let_54)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 _let_5 QUANTIFIERS_INST_ENUM)) :args (_let_11))) _let_88 :args (_let_54 false _let_11)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 1)) (CONG _let_86 _let_87 :args _let_72)) :args ((or _let_46 _let_50))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 0)) (CONG _let_86 (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) :args _let_72)) :args ((or _let_48 _let_50))) (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_85) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_ENUM)) :args _let_85))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_84)) :args _let_84)) (CONG _let_83 (REFL :args ((not _let_50))) :args _let_72)) (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_82) (CONG (REFL :args (_let_80)) (REFL :args (_let_41)) _let_81 :args _let_72)) :args ((or _let_41 _let_43 _let_80))) _let_79 (REORDERING (CNF_EQUIV_POS1 :args _let_77) :args ((or _let_62 _let_36 _let_76))) _let_40 (CNF_EQUIV_NEG2 :args _let_75) _let_74 :args (_let_62 false _let_57 false _let_61 false _let_59 true _let_55 true _let_60 false _let_58 true _let_52 false _let_54 false _let_46 false _let_48 true _let_51 true _let_50 false _let_43 false _let_45 true _let_35 false _let_38 true _let_41 true _let_42)))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_77) (CONG (REFL :args (_let_76)) (REFL :args (_let_37)) _let_83 :args _let_72)) :args ((or _let_37 _let_35 _let_76))) _let_102 _let_40 :args (_let_35 true _let_37 false _let_38)))) (let ((_let_104 (_let_35))) (let ((_let_105 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94 QUANTIFIERS_INST_ENUM))) (let ((_let_106 (ASSUME :args _let_104))) (let ((_let_107 (ho_7 _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_21))) _let_20 :args (_let_107 false _let_9)))) (let ((_let_109 (_let_25))) (let ((_let_110 (_let_44))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_110)) :args _let_110) (REWRITE :args ((=> _let_44 (not (not (= _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32)))))))) (CONG _let_81 (REFL :args _let_109) :args _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_82) :args ((or (not _let_41) _let_44 _let_80))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_75) :args ((or _let_37 _let_41 _let_42))) _let_102 _let_74 :args (_let_41 true _let_37 true _let_42)) _let_79 :args (_let_44 false _let_41 false _let_45)) :args (_let_25 true _let_43)))) (let ((_let_112 (not _let_25))) (let ((_let_113 (and _let_25 _let_107))) (let ((_let_114 (ASSUME :args _let_109))) (let ((_let_115 (SYMM _let_114))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_113)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_108 _let_114) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_115) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94)) :args _let_99) (TRUE_INTRO _let_108))) :args (_let_107 _let_25))) :args (_let_25 _let_107))) :args (true _let_113)) :args ((or _let_112 _let_32 (not _let_107)))) _let_111 _let_108 :args (_let_32 false _let_25 false _let_107)))) (let ((_let_117 (_let_31))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_117)) :args _let_117) (REWRITE :args ((=> _let_31 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((_let_125 (or _let_121 _let_124))) (let ((_let_126 (ho_7 _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95))) (let ((_let_127 (ho_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_160))) (let ((_let_128 (not _let_127))) (let ((_let_129 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_160))) (let ((_let_130 (or _let_129 _let_128))) (let ((_let_131 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95))) (let ((_let_132 (= _let_131 _let_126))) (let ((_let_133 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_160))) (let ((_let_134 (ho_7 _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_160))) (let ((_let_135 (= _let_133 _let_134))) (let ((_let_136 (not _let_125))) (let ((_let_137 (and _let_25 _let_120))) (let ((_let_138 (ASSUME :args (_let_120)))) (let ((_let_139 (_let_124))) (let ((_let_140 (not _let_129))) (let ((_let_141 (and _let_131 _let_140))) (let ((_let_142 (ASSUME :args (_let_140)))) (let ((_let_143 (=))) (let ((_let_144 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_160)))) (let ((_let_145 (ASSUME :args (_let_131)))) (let ((_let_146 (and _let_25 _let_127))) (let ((_let_147 (ASSUME :args (_let_127)))) (let ((_let_148 (_let_47))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_23 _let_33 (not _let_119)))) _let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_90 :args _let_105) :args _let_89))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_148)) :args _let_148) (REWRITE :args ((=> _let_47 (not (or (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35) _let_121))))))) (CONG _let_87 (REFL :args ((not _let_122))) :args _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_122 1)) (CONG (REFL :args (_let_122)) (MACRO_SR_PRED_INTRO :args ((= (not _let_121) _let_120))) :args _let_72)) :args ((or _let_120 _let_122))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_135)) :args ((or _let_133 (not _let_134) (not _let_135)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_94 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_160 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_21)) _let_20 :args (_let_135 false _let_9)) (RESOLUTION (CNF_AND_NEG :args (_let_146)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_147 _let_114) (SCOPE (TRUE_ELIM (TRANS (CONG _let_115 _let_144 :args _let_99) (TRUE_INTRO _let_147))) :args (_let_127 _let_25))) :args (_let_25 _let_127))) :args (true _let_146)) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_141)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_142 _let_145) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM (SYMM _let_145)) _let_144 :args _let_143) (FALSE_INTRO _let_142))) :args (_let_140 _let_131))) :args (_let_131 _let_140))) :args (true _let_141)) (CONG (REFL :args ((not 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_let_72)) (RESOLUTION (CNF_AND_NEG :args (_let_137)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_138 _let_114) (SCOPE (TRUE_ELIM (TRANS (CONG _let_115 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95)) :args _let_99) (TRUE_INTRO _let_138))) :args (_let_120 _let_25))) :args (_let_25 _let_120))) :args (true _let_137)) (REORDERING (CNF_OR_POS :args (_let_125)) :args ((or _let_121 _let_124 _let_136))) :args ((or _let_112 _let_121 _let_136) false _let_135 false _let_134 true _let_133 false _let_127 true _let_129 false _let_131 false _let_132 true _let_130 false _let_126 true _let_123)) _let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 Xx) false))))) :args _let_104)) _let_103 :args (_let_125 false _let_35)) :args (_let_121 false _let_25 false _let_125)) :args (_let_122 true _let_120)) :args (_let_46 false _let_122)) :args (_let_119 false _let_46)) :args (_let_23 false _let_32 false _let_119)))) (let ((_let_150 (and _let_25 _let_23 _let_22))) (let ((_let_151 (ASSUME :args (_let_22)))) (let ((_let_152 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_623)))) (let ((_let_153 (ASSUME :args (_let_23)))) (let ((_let_154 (SYMM (SYMM _let_153)))) (let ((_let_155 (not _let_7))) (let ((_let_156 (not _let_27))) (let ((_let_157 (and _let_23 _let_156))) (let ((_let_158 (_let_23 _let_156))) (let ((_let_159 (ASSUME :args (_let_156)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_8)) :args ((or _let_7 (not _let_6) (not _let_8)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_157)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_153 _let_159) (SCOPE (FALSE_ELIM (TRANS (CONG _let_154 _let_152 :args _let_143) (FALSE_INTRO _let_159))) :args _let_158)) :args _let_158)) :args (true _let_157)) (CONG (REFL :args ((not _let_23))) (MACRO_SR_PRED_INTRO :args ((= (not _let_156) _let_27))) (REFL :args (_let_155)) :args _let_72)) _let_149 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_28 0)) _let_118 :args (_let_156 true _let_28)) :args (_let_155 false _let_23 true _let_27)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_150)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_151 _let_114 _let_153) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (CONG (REFL :args (k_5)) _let_154 :args (APPLY_UF ho_6)) _let_115) _let_152 :args _let_99) (TRUE_INTRO _let_151))) :args (_let_22 _let_25 _let_23))) :args (_let_25 _let_23 _let_22))) :args (true _let_150)) _let_111 _let_149 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 1)) (CONG (REFL :args (_let_28)) (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_22))) :args _let_72)) :args ((or _let_22 _let_28))) _let_118 :args (_let_22 true _let_28)) :args (_let_6 false _let_25 false _let_23 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_623 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_21)) _let_20 :args (_let_8 false _let_9)) :args (false true _let_7 false _let_6 false _let_8)) :args (_let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.03/1.20 )
% 1.03/1.20 % SZS output end Proof for SEV293^5
% 1.03/1.20 % cvc5---1.0.5 exiting
% 1.03/1.21 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------