TSTP Solution File: SEV386^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV386^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 0.13s 0.46s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEV386^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10 % Command : do_cvc5 %s %d
% 0.08/0.29 % Computer : n006.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Thu Aug 24 01:56:53 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.13/0.38 %----Proving TH0
% 0.13/0.46 %------------------------------------------------------------------------------
% 0.13/0.46 % File : SEV386^5 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.46 % Domain : Set Theory
% 0.13/0.46 % Problem : TPS problem TTTP5306A
% 0.13/0.46 % Version : Especial.
% 0.13/0.46 % English :
% 0.13/0.46
% 0.13/0.46 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.13/0.46 % Source : [Bro09]
% 0.13/0.46 % Names : tps_0467 [Bro09]
% 0.13/0.46 % : TTTP5306A [TPS]
% 0.13/0.46
% 0.13/0.46 % Status : Theorem
% 0.13/0.46 % Rating : 0.08 v8.1.0, 0.00 v7.4.0, 0.22 v7.2.0, 0.12 v7.0.0, 0.29 v6.4.0, 0.33 v6.3.0, 0.40 v6.2.0, 0.57 v6.1.0, 0.43 v6.0.0, 0.29 v5.5.0, 0.33 v5.4.0, 0.40 v5.1.0, 0.60 v5.0.0, 0.40 v4.1.0, 0.33 v4.0.1, 0.67 v4.0.0
% 0.13/0.46 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.13/0.46 % Number of atoms : 6 ( 3 equ; 0 cnn)
% 0.13/0.46 % Maximal formula atoms : 4 ( 6 avg)
% 0.13/0.46 % Number of connectives : 6 ( 0 ~; 0 |; 1 &; 3 @)
% 0.13/0.46 % ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% 0.13/0.46 % Maximal formula depth : 7 ( 7 avg)
% 0.13/0.46 % Number of types : 2 ( 1 usr)
% 0.13/0.46 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.13/0.46 % Number of symbols : 2 ( 1 usr; 0 con; 1-2 aty)
% 0.13/0.46 % Number of variables : 5 ( 2 ^; 1 !; 2 ?; 5 :)
% 0.13/0.46 % SPC : TH0_THM_EQU_NAR
% 0.13/0.46
% 0.13/0.46 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.13/0.46 % project in the Department of Mathematical Sciences at Carnegie
% 0.13/0.46 % Mellon University. Distributed under the Creative Commons copyleft
% 0.13/0.46 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.13/0.46 % : Polymorphic definitions expanded.
% 0.13/0.46 %------------------------------------------------------------------------------
% 0.13/0.46 thf(a_type,type,
% 0.13/0.46 a: $tType ).
% 0.13/0.46
% 0.13/0.46 thf(p,type,
% 0.13/0.46 p: a > $o ).
% 0.13/0.46
% 0.13/0.46 thf(cTTTP5306A_pme,conjecture,
% 0.13/0.46 ( ? [Xy: a] :
% 0.13/0.46 ( p
% 0.13/0.46 = ( ^ [Xx: a,Xy: a] : ( Xx = Xy )
% 0.13/0.46 @ Xy ) )
% 0.13/0.46 <=> ? [Xy: a] :
% 0.13/0.46 ( ( p @ Xy )
% 0.13/0.46 & ! [Xz: a] :
% 0.13/0.46 ( ( p @ Xz )
% 0.13/0.46 => ( Xy = Xz ) ) ) ) ).
% 0.13/0.46
% 0.13/0.46 %------------------------------------------------------------------------------
% 0.13/0.46 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.wJFLtgEv2n/cvc5---1.0.5_2551.p...
% 0.13/0.46 (declare-sort $$unsorted 0)
% 0.13/0.46 (declare-sort tptp.a 0)
% 0.13/0.46 (declare-fun tptp.p (tptp.a) Bool)
% 0.13/0.46 (assert (not (= (exists ((Xy tptp.a)) (= tptp.p (@ (lambda ((Xx tptp.a) (Xy tptp.a)) (= Xx Xy)) Xy))) (exists ((Xy tptp.a)) (and (@ tptp.p Xy) (forall ((Xz tptp.a)) (=> (@ tptp.p Xz) (= Xy Xz))))))))
% 0.13/0.46 (set-info :filename cvc5---1.0.5_2551)
% 0.13/0.46 (check-sat-assuming ( true ))
% 0.13/0.46 ------- get file name : TPTP file name is SEV386^5
% 0.13/0.46 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2551.smt2...
% 0.13/0.46 --- Run --ho-elim --full-saturate-quant at 10...
% 0.13/0.46 % SZS status Theorem for SEV386^5
% 0.13/0.46 % SZS output start Proof for SEV386^5
% 0.13/0.46 (
% 0.13/0.46 (let ((_let_1 (not (= (exists ((Xy tptp.a)) (= tptp.p (@ (lambda ((Xx tptp.a) (Xy tptp.a)) (= Xx Xy)) Xy))) (exists ((Xy tptp.a)) (and (@ tptp.p Xy) (forall ((Xz tptp.a)) (=> (@ tptp.p Xz) (= Xy Xz))))))))) (let ((_let_2 (ho_4 k_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_3 (= k_6 _let_2))) (let ((_let_4 (ho_5 k_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_5 (ho_5 _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_6 (forall ((Xy tptp.a)) (not (= (ho_4 k_3 Xy) k_6))))) (let ((_let_7 (forall ((Xy tptp.a)) (or (not (ho_5 k_6 Xy)) (not (forall ((Xz tptp.a)) (or (not (ho_5 k_6 Xz)) (= Xy Xz)))))))) (let ((_let_8 (not _let_6))) (let ((_let_9 (forall ((Xz tptp.a)) (or (not (ho_5 k_6 Xz)) (= Xz SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) (let ((_let_10 (not _let_9))) (let ((_let_11 (ho_5 k_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_10))) (let ((_let_14 (ho_4 k_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_15 (= k_6 _let_14))) (let ((_let_16 (forall ((z tptp.a)) (= (ho_5 k_6 z) (ho_5 (ho_4 k_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) z))))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15))) (let ((_let_19 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_20 (ho_5 k_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19))) (let ((_let_23 (ho_5 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_24 (= _let_20 _let_23))) (let ((_let_25 (= _let_23 _let_19))) (let ((_let_26 (or))) (let ((_let_27 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_6))))) (let ((_let_28 (not _let_7))) (let ((_let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_7))))) (let ((_let_30 (forall ((u |u_(-> tptp.a Bool)|) (e Bool) (i tptp.a)) (not (forall ((v |u_(-> tptp.a Bool)|)) (not (forall ((ii tptp.a)) (= (ho_5 v ii) (ite (= i ii) e (ho_5 u ii)))))))))) (let ((_let_31 (forall ((x |u_(-> tptp.a Bool)|) (y |u_(-> tptp.a Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_5 x z) (ho_5 y z)))) (= x y))))) (let ((_let_32 (forall ((u |u_(-> tptp.a tptp.a Bool)|) (e |u_(-> tptp.a Bool)|) (i tptp.a)) (not (forall ((v |u_(-> tptp.a tptp.a Bool)|)) (not (forall ((ii tptp.a)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii)))))))))) (let ((_let_33 (forall ((x |u_(-> tptp.a tptp.a Bool)|) (y |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_34 (forall ((BOUND_VARIABLE_642 tptp.a) (BOUND_VARIABLE_643 tptp.a)) (= (= BOUND_VARIABLE_642 BOUND_VARIABLE_643) (ho_5 (ho_4 k_3 BOUND_VARIABLE_642) BOUND_VARIABLE_643))))) (let ((_let_35 (not (= _let_28 _let_8)))) (let ((_let_36 (forall ((BOUND_VARIABLE_642 tptp.a) (BOUND_VARIABLE_643 tptp.a)) (= (= BOUND_VARIABLE_642 BOUND_VARIABLE_643) (ll_2 BOUND_VARIABLE_642 BOUND_VARIABLE_643))))) (let ((_let_37 (not (forall ((Xy tptp.a)) (or (not (@ tptp.p Xy)) (not (forall ((Xz tptp.a)) (or (not (@ tptp.p Xz)) (= Xy Xz))))))))) (let ((_let_38 (not (= _let_37 (not (forall ((Xy tptp.a)) (not (= tptp.p (@ ll_2 Xy))))))))) (let ((_let_39 (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (= (not (forall ((Xy tptp.a)) (not (= tptp.p (lambda ((Xy tptp.a)) (= Xy Xy)))))) _let_37)) _let_38))))) (PREPROCESS :args (_let_36))) (PREPROCESS :args ((= (and _let_38 _let_36) (and _let_35 _let_34))))) (PREPROCESS :args ((and _let_33 _let_32 _let_31 _let_30)))) :args ((and _let_35 _let_34 _let_33 _let_32 _let_31 _let_30))))) (let ((_let_40 (AND_ELIM _let_39 :args (0)))) (let ((_let_41 (not _let_13))) (let ((_let_42 (_let_28))) (let ((_let_43 (_let_6))) (let ((_let_44 (_let_13))) (let ((_let_45 (REFL :args _let_44))) (let ((_let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))))) (let ((_let_47 (_let_31))) (let ((_let_48 (_let_9))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (_let_17))) (let ((_let_51 (ho_5 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_52 (not _let_22))) (let ((_let_53 (_let_24))) (let ((_let_54 (AND_ELIM _let_39 :args (1)))) (let ((_let_55 (_let_34))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_ENUM)) :args _let_55))) _let_54 :args (_let_51 false _let_34)))) (let ((_let_58 (REFL :args ((not _let_19))))) (let ((_let_59 (not _let_23))) (let ((_let_60 (not _let_51))) (let ((_let_61 (ASSUME :args (_let_51)))) (let ((_let_62 (TRUE_INTRO _let_61))) (let ((_let_63 (APPLY_UF ho_5))) (let ((_let_64 (ASSUME :args (_let_19)))) (let ((_let_65 (SYMM _let_64))) (let ((_let_66 (ASSUME :args (_let_59)))) (let ((_let_67 (ASSUME :args (_let_11)))) (let ((_let_68 (ASSUME :args (_let_21)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_67 _let_64 _let_68) :args (_let_11 _let_21 _let_19)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_68)) (CONG (REFL :args (k_6)) _let_65 :args _let_63) (TRUE_INTRO _let_67))) :args (_let_11 _let_19 _let_21)) :args ((not (and _let_11 _let_21 _let_19)) SB_LITERAL))) (CONG (REFL :args (_let_12)) (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) _let_58 :args _let_26)) (REORDERING (CNF_EQUIV_POS1 :args (_let_25)) :args ((or _let_59 _let_19 (not _let_25)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_CBQI_PROP)) :args _let_55))) _let_54 :args (_let_25 false _let_34)) (REORDERING (CNF_EQUIV_NEG1 :args _let_53) :args ((or _let_20 _let_23 _let_24))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_61 _let_64 _let_66) :args (_let_51 _let_59 _let_19)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_66)) (CONG (REFL :args (_let_14)) _let_65 :args _let_63) _let_62)) :args (_let_51 _let_19 _let_59)) :args ((not (and _let_51 _let_59 _let_19)) SB_LITERAL))) (CONG (REFL :args (_let_60)) (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_23))) _let_58 :args _let_26)) _let_57 (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_19 _let_52))) (CNF_EQUIV_NEG2 :args _let_53) :args ((or _let_24 _let_21 _let_52) false _let_51 false _let_19 true _let_23)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_50)) :args _let_50)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) (REFL :args ((not _let_24))) :args _let_26)) (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_CBQI_PROP)) :args _let_48))) (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_15 _let_17 (not _let_18)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_47) :args (_let_14 k_6 QUANTIFIERS_INST_ENUM)) :args _let_47))) (AND_ELIM _let_39 :args (4)) :args (_let_18 false _let_31)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 1)) (CONG _let_45 _let_46 :args _let_26)) :args ((or _let_9 _let_13))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 0)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_26)) :args ((or _let_11 _let_13))) (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_43) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_ENUM)) :args _let_43))) (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_42)) :args _let_42) (REWRITE :args ((=> _let_28 (not (or _let_12 (not (forall ((Xz tptp.a)) (or (not (ho_5 k_6 Xz)) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Xz))))))))))) (CONG _let_29 (REFL :args (_let_41)) :args _let_26)) (EQ_RESOLVE (NOT_EQUIV_ELIM2 _let_40) (CONG _let_29 _let_27 :args _let_26)) :args (_let_7 false _let_19 false _let_25 false _let_23 true _let_20 true _let_24 false _let_22 true _let_16 false _let_18 false _let_9 false _let_11 true _let_15 true _let_13 false _let_6)))) (let ((_let_70 (_let_3))) (let ((_let_71 (_let_8))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_71)) :args _let_71) (REWRITE :args ((=> _let_8 (not (not (= _let_2 k_6)))))))) (CONG _let_27 (REFL :args _let_70) :args _let_26)) (MACRO_RESOLUTION_TRUST (NOT_EQUIV_ELIM1 _let_40) _let_69 :args (_let_8 false _let_7)) :args (_let_3 true _let_6)))) (let ((_let_73 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_74 (not _let_4))) (let ((_let_75 (or _let_74 _let_73))) (let ((_let_76 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_77 (ho_5 k_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_76))) (let ((_let_80 (ho_5 _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_81 (forall ((Xz tptp.a)) (or (not (ho_5 k_6 Xz)) (= Xz SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_78 _let_82))) (let ((_let_84 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_85 (= _let_84 _let_80))) (let ((_let_86 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_87 (ho_5 k_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_86))) (let ((_let_90 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_91 (ho_5 _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_92 (= _let_90 _let_91))) (let ((_let_93 (and _let_3 _let_77))) (let ((_let_94 (ASSUME :args (_let_77)))) (let ((_let_95 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32)))) (let ((_let_96 (ASSUME :args _let_70))) (let ((_let_97 (SYMM _let_96))) (let ((_let_98 (RESOLUTION (CNF_AND_NEG :args (_let_93)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_94 _let_96) (SCOPE (TRUE_ELIM (TRANS (CONG _let_97 _let_95 :args _let_63) (TRUE_INTRO _let_94))) :args (_let_77 _let_3))) :args (_let_3 _let_77))) :args (true _let_93)))) (let ((_let_99 (_let_7))) (let ((_let_100 ((not (= (ho_5 k_6 Xy) false))))) (let ((_let_101 (ASSUME :args _let_99))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_CBQI_PROP)) :args _let_55)) _let_54 :args (_let_85 false _let_34)))) (let ((_let_103 (REORDERING (CNF_EQUIV_POS2 :args (_let_85)) :args ((or _let_84 (not _let_80) (not _let_85)))))) (let ((_let_104 (_let_82))) (let ((_let_105 (not _let_86))) (let ((_let_106 (not _let_84))) (let ((_let_107 (REFL :args (_let_106)))) (let ((_let_108 (and _let_84 _let_105))) (let ((_let_109 (ASSUME :args (_let_105)))) (let ((_let_110 (=))) (let ((_let_111 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35)))) (let ((_let_112 (ASSUME :args (_let_84)))) (let ((_let_113 (and _let_3 _let_87))) (let ((_let_114 (ASSUME :args (_let_87)))) (let ((_let_115 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_79 0)) (CONG (REFL :args (_let_79)) (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_77))) :args _let_26)) :args ((or _let_77 _let_79))))) (let ((_let_116 (_let_10))) (let ((_let_117 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_116)) :args _let_116) (REWRITE :args ((=> _let_10 (not (or _let_78 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))))) (CONG _let_46 (REFL :args ((not _let_79))) :args _let_26)))) (let ((_let_118 (not _let_73))) (let ((_let_119 (not _let_3))) (let ((_let_120 (and _let_51 _let_3 _let_73))) (let ((_let_121 (ASSUME :args (_let_73)))) (let ((_let_122 (SYMM _let_121))) (let ((_let_123 (SYMM _let_97))) (let ((_let_124 (not _let_76))) (let ((_let_125 (and _let_124 _let_73))) (let ((_let_126 (_let_124 _let_73))) (let ((_let_127 (ASSUME :args (_let_124)))) (let ((_let_128 (ASSUME :args (_let_5)))) (let ((_let_129 (ASSUME :args (_let_74)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_128 _let_96 _let_129) :args (_let_3 _let_74 _let_5)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_129)) (CONG _let_123 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31)) :args _let_63) (TRUE_INTRO _let_128))) :args (_let_5 _let_3 _let_74)) :args ((not (and _let_3 _let_74 _let_5)) SB_LITERAL))) (CONG (REFL :args (_let_119)) (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_4))) (REFL :args ((not _let_5))) :args _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_55))) _let_54 :args (_let_5 false _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_73 _let_74 (not _let_75)))) (MACRO_RESOLUTION_TRUST _let_103 _let_102 _let_98 _let_72 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_125)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_127 _let_121) (SCOPE (FALSE_ELIM (TRANS (CONG _let_122 _let_95 :args _let_110) (FALSE_INTRO _let_127))) :args _let_126)) :args _let_126)) :args (true _let_125)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_124) _let_76))) (REFL :args (_let_118)) _let_107 :args _let_26)) :args ((or _let_76 _let_106 _let_118))) (CNF_OR_NEG :args (_let_79 1)) _let_115 _let_117 (REORDERING (CNF_OR_POS :args _let_44) :args ((or _let_12 _let_10 _let_41))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_101 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_99))) _let_69 :args (_let_13 false _let_7)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_120)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_61 _let_121 _let_96) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_123 (CONG (REFL :args (k_3)) _let_122 :args (APPLY_UF ho_4))) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) :args _let_63) _let_62)) :args (_let_51 _let_73 _let_3))) :args (_let_51 _let_3 _let_73))) :args (true _let_120)) :args ((or _let_11 _let_60 _let_119 _let_118))) _let_72 _let_57 :args (_let_118 false _let_85 false _let_80 false _let_3 true _let_84 true _let_76 false _let_77 true _let_79 true _let_9 false _let_13 false _let_11 false _let_3 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_ENUM)) :args _let_48))) (MACRO_RESOLUTION_TRUST _let_117 (MACRO_RESOLUTION_TRUST _let_115 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_92)) :args ((or _let_90 (not _let_91) (not _let_92)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_55)) _let_54 :args (_let_92 false _let_34)) (RESOLUTION (CNF_AND_NEG :args (_let_113)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_114 _let_96) (SCOPE (TRUE_ELIM (TRANS (CONG _let_97 _let_111 :args _let_63) (TRUE_INTRO _let_114))) :args (_let_87 _let_3))) :args (_let_3 _let_87))) :args (true _let_113)) _let_72 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_108)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_109 _let_112) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM (SYMM _let_112)) _let_111 :args _let_110) (FALSE_INTRO _let_109))) :args (_let_105 _let_84))) :args (_let_84 _let_105))) :args (true _let_108)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_105) _let_86))) (REFL :args ((not _let_90))) :args _let_26)) (CNF_OR_NEG :args (_let_89 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_89 0)) (CONG (REFL :args (_let_89)) (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_87))) :args _let_26)) :args ((or _let_87 _let_89))) (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_104)) :args _let_104) (REWRITE :args ((=> _let_82 (not (or _let_88 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_81))) (REFL :args ((not _let_89))) :args _let_26)) _let_103 _let_102 (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_78 _let_82 (not _let_83)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_101 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_99))) _let_69 :args (_let_83 false _let_7)) _let_98 _let_72 :args (_let_78 false _let_92 false _let_91 false _let_3 true _let_90 true _let_86 false _let_87 true _let_89 false _let_84 false _let_85 true _let_81 false _let_83 false _let_80 false _let_3)) :args (_let_79 true _let_77)) :args (_let_9 false _let_79)) :args (_let_75 false _let_9)) :args (_let_74 true _let_73 false _let_75)) _let_72 :args (false false _let_5 true _let_4 false _let_3)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.13/0.46 )
% 0.13/0.46 % SZS output end Proof for SEV386^5
% 0.13/0.46 % cvc5---1.0.5 exiting
% 0.13/0.46 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------