TSTP Solution File: SEV065^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV065^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 19:21:28 EDT 2023
% Result : Theorem 0.50s 0.78s
% Output : Proof 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEV065^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 03:19:10 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TH0
% 0.50/0.78 %------------------------------------------------------------------------------
% 0.50/0.78 % File : SEV065^5 : TPTP v8.1.2. Released v4.0.0.
% 0.50/0.78 % Domain : Set Theory (Relations)
% 0.50/0.78 % Problem : TPS problem THM177
% 0.50/0.78 % Version : Especial.
% 0.50/0.78 % English :
% 0.50/0.78
% 0.50/0.78 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.50/0.78 % Source : [Bro09]
% 0.50/0.78 % Names : tps_0417 [Bro09]
% 0.50/0.78 % : THM177 [TPS]
% 0.50/0.78
% 0.50/0.78 % Status : Theorem
% 0.50/0.78 % 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, 0.29 v5.5.0, 0.17 v5.4.0, 0.40 v5.1.0, 0.60 v5.0.0, 0.40 v4.1.0, 0.33 v4.0.0
% 0.50/0.78 % Syntax : Number of formulae : 3 ( 1 unt; 2 typ; 0 def)
% 0.50/0.78 % Number of atoms : 5 ( 5 equ; 0 cnn)
% 0.50/0.78 % Maximal formula atoms : 1 ( 5 avg)
% 0.50/0.78 % Number of connectives : 10 ( 1 ~; 1 |; 3 &; 4 @)
% 0.50/0.78 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.50/0.78 % Maximal formula depth : 7 ( 7 avg)
% 0.50/0.78 % Number of types : 3 ( 2 usr)
% 0.50/0.78 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.50/0.78 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.50/0.78 % Number of variables : 5 ( 2 ^; 3 !; 0 ?; 5 :)
% 0.50/0.78 % SPC : TH0_THM_EQU_NAR
% 0.50/0.78
% 0.50/0.78 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.50/0.78 % project in the Department of Mathematical Sciences at Carnegie
% 0.50/0.78 % Mellon University. Distributed under the Creative Commons copyleft
% 0.50/0.78 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.50/0.78 % : Polymorphic definitions expanded.
% 0.50/0.78 %------------------------------------------------------------------------------
% 0.50/0.78 thf(b_type,type,
% 0.50/0.78 b: $tType ).
% 0.50/0.78
% 0.50/0.78 thf(a_type,type,
% 0.50/0.78 a: $tType ).
% 0.50/0.78
% 0.50/0.78 thf(cTHM177_pme,conjecture,
% 0.50/0.78 ! [Xx: b,Xy: a,Xk: b > a > $o] :
% 0.50/0.78 ( ( Xk @ Xx @ Xy )
% 0.50/0.78 => ( ( ^ [Xu: b,Xv: a] :
% 0.50/0.78 ( ( ( Xk @ Xu @ Xv )
% 0.50/0.78 & ~ ( ( Xu = Xx )
% 0.50/0.78 & ( Xv = Xy ) ) )
% 0.50/0.78 | ( ( Xu = Xx )
% 0.50/0.78 & ( Xv = Xy ) ) ) )
% 0.50/0.78 = Xk ) ) ).
% 0.50/0.78
% 0.50/0.78 %------------------------------------------------------------------------------
% 0.50/0.78 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.FNm282NR8U/cvc5---1.0.5_26402.p...
% 0.50/0.78 (declare-sort $$unsorted 0)
% 0.50/0.78 (declare-sort tptp.b 0)
% 0.50/0.78 (declare-sort tptp.a 0)
% 0.50/0.78 (assert (not (forall ((Xx tptp.b) (Xy tptp.a) (Xk (-> tptp.b tptp.a Bool))) (=> (@ (@ Xk Xx) Xy) (= (lambda ((Xu tptp.b) (Xv tptp.a)) (let ((_let_1 (and (= Xu Xx) (= Xv Xy)))) (or (and (@ (@ Xk Xu) Xv) (not _let_1)) _let_1))) Xk)))))
% 0.50/0.78 (set-info :filename cvc5---1.0.5_26402)
% 0.50/0.78 (check-sat-assuming ( true ))
% 0.50/0.78 ------- get file name : TPTP file name is SEV065^5
% 0.50/0.78 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26402.smt2...
% 0.50/0.78 --- Run --ho-elim --full-saturate-quant at 10...
% 0.50/0.78 % SZS status Theorem for SEV065^5
% 0.50/0.78 % SZS output start Proof for SEV065^5
% 0.50/0.78 (
% 0.50/0.78 (let ((_let_1 (not (forall ((Xx tptp.b) (Xy tptp.a) (Xk (-> tptp.b tptp.a Bool))) (=> (@ (@ Xk Xx) Xy) (= (lambda ((Xu tptp.b) (Xv tptp.a)) (let ((_let_1 (and (= Xu Xx) (= Xv Xy)))) (or (and (@ (@ Xk Xu) Xv) (not _let_1)) _let_1))) Xk)))))) (let ((_let_2 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_292))) (let ((_let_3 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40))) (let ((_let_4 (and _let_3 _let_2))) (let ((_let_5 (not _let_3))) (let ((_let_6 (or _let_5 (not _let_2)))) (let ((_let_7 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40))) (let ((_let_8 (ho_4 _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_292))) (let ((_let_9 (and _let_8 _let_6))) (let ((_let_10 (or _let_9 _let_4))) (let ((_let_11 (ho_8 (ho_7 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_12 (ho_3 _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40))) (let ((_let_13 (ho_4 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_292))) (let ((_let_14 (= _let_13 _let_10))) (let ((_let_15 (not _let_10))) (let ((_let_16 (forall ((BOUND_VARIABLE_670 |u_(-> tptp.b tptp.a Bool)|) (BOUND_VARIABLE_641 tptp.b) (BOUND_VARIABLE_642 tptp.a) (BOUND_VARIABLE_643 tptp.b) (BOUND_VARIABLE_644 tptp.a)) (let ((_let_1 (= BOUND_VARIABLE_642 BOUND_VARIABLE_644))) (let ((_let_2 (= BOUND_VARIABLE_641 BOUND_VARIABLE_643))) (= (or (and (ho_4 (ho_3 BOUND_VARIABLE_670 BOUND_VARIABLE_643) BOUND_VARIABLE_644) (or (not _let_2) (not _let_1))) (and _let_2 _let_1)) (ho_4 (ho_3 (ho_8 (ho_7 (ho_6 k_5 BOUND_VARIABLE_670) BOUND_VARIABLE_641) BOUND_VARIABLE_642) BOUND_VARIABLE_643) BOUND_VARIABLE_644))))))) (let ((_let_17 (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_18 (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_19 (forall ((u |u_(-> _u_(-> tptp.b tptp.a Bool)_ tptp.b tptp.a tptp.b tptp.a Bool)|) (e |u_(-> tptp.b tptp.a tptp.b tptp.a Bool)|) (i |u_(-> tptp.b tptp.a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.b tptp.a Bool)_ tptp.b tptp.a tptp.b tptp.a Bool)|)) (not (forall ((ii |u_(-> tptp.b tptp.a Bool)|)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii)))))))))) (let ((_let_20 (forall ((x |u_(-> _u_(-> tptp.b tptp.a Bool)_ tptp.b tptp.a tptp.b tptp.a Bool)|) (y |u_(-> _u_(-> tptp.b tptp.a Bool)_ tptp.b tptp.a tptp.b tptp.a Bool)|)) (or (not (forall ((z |u_(-> tptp.b tptp.a Bool)|)) (= (ho_6 x z) (ho_6 y z)))) (= x y))))) (let ((_let_21 (forall ((u |u_(-> tptp.b tptp.a Bool)|) (e |u_(-> tptp.a Bool)|) (i tptp.b)) (not (forall ((v |u_(-> tptp.b tptp.a Bool)|)) (not (forall ((ii tptp.b)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_22 (forall ((x |u_(-> tptp.b tptp.a Bool)|) (y |u_(-> tptp.b tptp.a Bool)|)) (or (not (forall ((z tptp.b)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_23 (forall ((u |u_(-> tptp.a tptp.b tptp.a Bool)|) (e |u_(-> tptp.b tptp.a Bool)|) (i tptp.a)) (not (forall ((v |u_(-> tptp.a tptp.b tptp.a Bool)|)) (not (forall ((ii tptp.a)) (= (ho_8 v ii) (ite (= i ii) e (ho_8 u ii)))))))))) (let ((_let_24 (forall ((x |u_(-> tptp.a tptp.b tptp.a Bool)|) (y |u_(-> tptp.a tptp.b tptp.a Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_8 x z) (ho_8 y z)))) (= x y))))) (let ((_let_25 (forall ((u |u_(-> tptp.b tptp.a tptp.b tptp.a Bool)|) (e |u_(-> tptp.a tptp.b tptp.a Bool)|) (i tptp.b)) (not (forall ((v |u_(-> tptp.b tptp.a tptp.b tptp.a Bool)|)) (not (forall ((ii tptp.b)) (= (ho_7 v ii) (ite (= i ii) e (ho_7 u ii)))))))))) (let ((_let_26 (forall ((x |u_(-> tptp.b tptp.a tptp.b tptp.a Bool)|) (y |u_(-> tptp.b tptp.a tptp.b tptp.a Bool)|)) (or (not (forall ((z tptp.b)) (= (ho_7 x z) (ho_7 y z)))) (= x y))))) (let ((_let_27 (forall ((Xx tptp.b) (Xy tptp.a) (BOUND_VARIABLE_704 |u_(-> tptp.b tptp.a Bool)|)) (or (not (ho_4 (ho_3 BOUND_VARIABLE_704 Xx) Xy)) (= BOUND_VARIABLE_704 (ho_8 (ho_7 (ho_6 k_5 BOUND_VARIABLE_704) Xx) Xy)))))) (let ((_let_28 (not _let_27))) (let ((_let_29 (forall ((BOUND_VARIABLE_640 (-> tptp.b tptp.a Bool)) (BOUND_VARIABLE_641 tptp.b) (BOUND_VARIABLE_642 tptp.a) (BOUND_VARIABLE_643 tptp.b) (BOUND_VARIABLE_644 tptp.a)) (let ((_let_1 (= BOUND_VARIABLE_642 BOUND_VARIABLE_644))) (let ((_let_2 (= BOUND_VARIABLE_641 BOUND_VARIABLE_643))) (= (ll_2 BOUND_VARIABLE_640 BOUND_VARIABLE_641 BOUND_VARIABLE_642 BOUND_VARIABLE_643 BOUND_VARIABLE_644) (or (and (@ (@ BOUND_VARIABLE_640 BOUND_VARIABLE_643) BOUND_VARIABLE_644) (or (not _let_2) (not _let_1))) (and _let_2 _let_1)))))))) (let ((_let_30 (not (forall ((Xx tptp.b) (Xy tptp.a) (Xk (-> tptp.b tptp.a Bool))) (or (not (@ (@ Xk Xx) Xy)) (= Xk (@ (@ (@ ll_2 Xk) Xx) Xy))))))) (let ((_let_31 (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 (forall ((Xx tptp.b) (Xy tptp.a) (Xk (-> tptp.b tptp.a Bool))) (or (not (@ (@ Xk Xx) Xy)) (= Xk (lambda ((Xu tptp.b) (Xv tptp.a)) (let ((_let_1 (and (= Xx Xu) (= Xy Xv)))) (or (and (@ (@ Xk Xu) Xv) (not _let_1)) _let_1))))))) _let_30))))) (PREPROCESS :args (_let_29))) (PREPROCESS :args ((= (and _let_30 _let_29) (and _let_28 _let_16))))) (PREPROCESS :args ((and _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17)))) :args ((and _let_28 _let_16 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17))))) (let ((_let_32 (AND_ELIM _let_31 :args (1)))) (let ((_let_33 (_let_16))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_292 QUANTIFIERS_INST_E_MATCHING ((ho_4 (ho_3 (ho_8 (ho_7 (ho_6 k_5 BOUND_VARIABLE_670) BOUND_VARIABLE_641) BOUND_VARIABLE_642) BOUND_VARIABLE_643) BOUND_VARIABLE_644)))) :args _let_33))) _let_32 :args (_let_14 false _let_16)))) (let ((_let_36 (= _let_13 _let_8))) (let ((_let_37 (not _let_13))) (let ((_let_38 (forall ((z tptp.a)) (= (ho_4 (ho_3 (ho_8 (ho_7 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40) z) (ho_4 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40) z))))) (let ((_let_39 (not _let_36))) (let ((_let_40 (= _let_7 _let_12))) (let ((_let_41 (not _let_38))) (let ((_let_42 (or _let_41 _let_40))) (let ((_let_43 (AND_ELIM _let_31 :args (10)))) (let ((_let_44 (_let_18))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (forall ((z tptp.b)) (= (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 z) (ho_3 (ho_8 (ho_7 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) z))))) (let ((_let_47 (not _let_40))) (let ((_let_48 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_11))) (let ((_let_49 (not _let_46))) (let ((_let_50 (or _let_49 _let_48))) (let ((_let_51 (_let_22))) (let ((_let_52 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_53 (ho_4 _let_52 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_48))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or))) (let ((_let_58 (_let_28))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_58)) :args _let_58)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) (REFL :args (_let_56)) :args _let_57)) (AND_ELIM _let_31 :args (0)) :args (_let_56 true _let_27)))) (let ((_let_60 (_let_47))) (let ((_let_61 (_let_49))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_61)) :args _let_61)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_46))) (REFL :args _let_60) :args _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_48 _let_49 (not _let_50)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_55 1)) _let_59 :args ((not _let_48) true _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_51) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_11 QUANTIFIERS_INST_ENUM)) :args _let_51)) (AND_ELIM _let_31 :args (6)) :args (_let_50 false _let_22)) :args (_let_49 true _let_48 false _let_50)) :args (_let_47 true _let_46)))) (let ((_let_63 (_let_41))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_63)) :args _let_63)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_38))) (REFL :args (_let_39)) :args _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_40 _let_41 (not _let_42)))) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_12 _let_7 QUANTIFIERS_INST_ENUM)) :args _let_44))) _let_43 :args (_let_42 false _let_18)) :args (_let_41 true _let_40 false _let_42)) :args (_let_39 true _let_38)))) (let ((_let_65 (_let_36))) (let ((_let_66 (not _let_14))) (let ((_let_67 (_let_14))) (let ((_let_68 (not _let_4))) (let ((_let_69 (ho_3 _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_70 (= _let_52 _let_69))) (let ((_let_71 (forall ((z tptp.a)) (= (ho_4 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) z) (ho_4 (ho_3 (ho_8 (ho_7 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) z))))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_70))) (let ((_let_74 (ho_4 _let_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62))) (let ((_let_75 (ho_4 _let_52 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62))) (let ((_let_76 (= _let_75 _let_74))) (let ((_let_77 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62))) (let ((_let_78 (not _let_77))) (let ((_let_79 (and _let_75 _let_78))) (let ((_let_80 (or _let_79 _let_77))) (let ((_let_81 (= _let_74 _let_80))) (let ((_let_82 (not _let_75))) (let ((_let_83 (_let_76))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 QUANTIFIERS_INST_CBQI_PROP)) :args _let_33))) _let_32 :args (_let_81 false _let_16)))) (let ((_let_85 (not _let_81))) (let ((_let_86 (not _let_80))) (let ((_let_87 (_let_81))) (let ((_let_88 (_let_82))) (let ((_let_89 (_let_79))) (let ((_let_90 (ASSUME :args (_let_53)))) (let ((_let_91 (ASSUME :args (_let_77)))) (let ((_let_92 (ASSUME :args _let_88))) (let ((_let_93 (_let_72))) (let ((_let_94 (and _let_47 _let_3))) (let ((_let_95 (_let_47 _let_3))) (let ((_let_96 (ASSUME :args _let_60))) (let ((_let_97 (APPLY_UF ho_3))) (let ((_let_98 (ASSUME :args (_let_3)))) (let ((_let_99 (SYMM (SYMM _let_98)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_94)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_96 _let_98) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) _let_99 :args _let_97) (CONG (REFL :args (_let_11)) _let_99 :args _let_97) :args (=)) (FALSE_INTRO _let_96))) :args _let_95)) :args _let_95)) :args (true _let_94)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_40))) (REFL :args (_let_5)) (REFL :args ((not _let_70))) :args _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_72 _let_70 (not _let_73)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_93)) :args _let_93)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_71))) (REFL :args ((not _let_76))) :args _let_57)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_90 _let_91 _let_92) :args (_let_53 _let_82 _let_77)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_92)) (CONG (REFL :args (_let_52)) (SYMM _let_91) :args (APPLY_UF ho_4)) (TRUE_INTRO _let_90))) :args (_let_53 _let_77 _let_82)) :args ((not (and _let_53 _let_82 _let_77)) SB_LITERAL))) (CONG (REFL :args (_let_54)) (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_75))) (REFL :args (_let_78)) :args _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 0)) (CONG (REFL :args (_let_55)) (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_57)) :args ((or _let_53 _let_55))) _let_59 :args (_let_53 true _let_55)) (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_77 _let_79 _let_86))) (REORDERING (CNF_EQUIV_POS1 :args _let_87) :args ((or (not _let_74) _let_80 _let_85))) _let_84 (REORDERING (CNF_AND_POS :args (_let_79 0)) :args ((or _let_75 (not _let_79)))) (REORDERING (CNF_EQUIV_NEG1 :args _let_83) :args ((or _let_75 _let_74 _let_76))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_89) (CONG (REFL :args _let_89) (REFL :args _let_88) (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_77))) :args _let_57)) :args ((or _let_82 _let_77 _let_79))) (REORDERING (CNF_OR_NEG :args (_let_80 1)) :args ((or _let_78 _let_80))) (CNF_OR_NEG :args (_let_80 0)) (REORDERING (CNF_EQUIV_POS2 :args _let_87) :args ((or _let_74 _let_86 _let_85))) _let_84 (CNF_EQUIV_NEG2 :args _let_83) :args ((or _let_76 _let_82) true _let_77 true _let_79 true _let_80 false _let_81 true _let_74)) :args (_let_76 false _let_53 false _let_77 false _let_80 false _let_81 true _let_79 false _let_74 true _let_75)) :args (_let_71 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_52 _let_69 QUANTIFIERS_INST_ENUM)) :args _let_44)) _let_43 :args (_let_73 false _let_18)) :args (_let_70 false _let_71 false _let_73)) _let_62 :args (_let_5 false _let_70 true _let_40)))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_9 _let_4 _let_15))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_4 0)) :args ((or _let_3 _let_68))) _let_100 :args (_let_68 true _let_3)) (REORDERING (CNF_AND_POS :args (_let_9 0)) :args ((or _let_8 (not _let_9)))) (REORDERING (CNF_EQUIV_POS1 :args _let_67) :args ((or _let_37 _let_10 _let_66))) _let_35 (CNF_EQUIV_NEG2 :args _let_65) _let_64 :args (_let_37 true _let_4 true _let_9 false _let_10 false _let_14 true _let_8 true _let_36)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_10 0)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_9)) :args ((or (not _let_8) _let_9 (not _let_6)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_65) :args ((or _let_13 _let_8 _let_36))) _let_101 _let_64 :args (_let_8 true _let_13 true _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_6 0)) (CONG (REFL :args (_let_6)) (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_3))) :args _let_57)) :args ((or _let_3 _let_6))) _let_100 :args (_let_6 true _let_3)) :args (_let_9 false _let_8 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_67) :args ((or _let_13 _let_15 _let_66))) _let_101 _let_35 :args (_let_15 true _let_13 false _let_14)) :args (false false _let_9 true _let_10)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.50/0.79 )
% 0.50/0.79 % SZS output end Proof for SEV065^5
% 0.50/0.79 % cvc5---1.0.5 exiting
% 0.50/0.79 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------