TSTP Solution File: SEV163^5 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV163^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 19:21:44 EDT 2023
% Result : Theorem 0.22s 0.57s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV163^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 24 04:05:16 EDT 2023
% 0.22/0.36 % CPUTime :
% 0.22/0.50 %----Proving TH0
% 0.22/0.57 %------------------------------------------------------------------------------
% 0.22/0.57 % File : SEV163^5 : TPTP v8.1.2. Released v4.0.0.
% 0.22/0.57 % Domain : Set Theory
% 0.22/0.57 % Problem : TPS problem THM187
% 0.22/0.57 % Version : Especial.
% 0.22/0.57 % English : Basic theorem about pairing.
% 0.22/0.57
% 0.22/0.57 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.22/0.57 % Source : [Bro09]
% 0.22/0.57 % Names : tps_0155 [Bro09]
% 0.22/0.57 % : THM187 [TPS]
% 0.22/0.57
% 0.22/0.57 % Status : Theorem
% 0.22/0.57 % Rating : 0.08 v8.1.0, 0.09 v7.5.0, 0.00 v6.2.0, 0.14 v6.1.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v4.1.0, 0.00 v4.0.1, 0.33 v4.0.0
% 0.22/0.57 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.22/0.57 % Number of atoms : 2 ( 2 equ; 0 cnn)
% 0.22/0.57 % Maximal formula atoms : 2 ( 2 avg)
% 0.22/0.57 % Number of connectives : 9 ( 0 ~; 0 |; 0 &; 8 @)
% 0.22/0.57 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.22/0.57 % Maximal formula depth : 3 ( 3 avg)
% 0.22/0.57 % Number of types : 1 ( 1 usr)
% 0.22/0.57 % Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% 0.22/0.57 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.22/0.57 % Number of variables : 11 ( 10 ^; 1 !; 0 ?; 11 :)
% 0.22/0.57 % SPC : TH0_THM_EQU_NAR
% 0.22/0.57
% 0.22/0.57 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.22/0.57 % project in the Department of Mathematical Sciences at Carnegie
% 0.22/0.57 % Mellon University. Distributed under the Creative Commons copyleft
% 0.22/0.57 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.22/0.57 % : Polymorphic definitions expanded.
% 0.22/0.57 %------------------------------------------------------------------------------
% 0.22/0.57 thf(a_type,type,
% 0.22/0.57 a: $tType ).
% 0.22/0.57
% 0.22/0.57 thf(cTHM187_pme,conjecture,
% 0.22/0.57 ! [Xp: ( a > a > a ) > a] :
% 0.22/0.57 ( ( Xp
% 0.22/0.57 = ( ^ [Xg: a > a > a] :
% 0.22/0.57 ( Xg
% 0.22/0.57 @ ( Xp
% 0.22/0.57 @ ^ [Xx: a,Xy: a] : Xx )
% 0.22/0.57 @ ( Xp
% 0.22/0.57 @ ^ [Xx: a,Xy: a] : Xy ) ) ) )
% 0.22/0.57 => ( ( ^ [Xg: a > a > a] :
% 0.22/0.57 ( Xg
% 0.22/0.57 @ ( Xp
% 0.22/0.57 @ ^ [Xx: a,Xy: a] : Xx )
% 0.22/0.57 @ ( Xp
% 0.22/0.57 @ ^ [Xx: a,Xy: a] : Xy ) ) )
% 0.22/0.57 = Xp ) ) ).
% 0.22/0.57
% 0.22/0.57 %------------------------------------------------------------------------------
% 0.22/0.57 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.9PJubz6oGi/cvc5---1.0.5_659.p...
% 0.22/0.57 (declare-sort $$unsorted 0)
% 0.22/0.57 (declare-sort tptp.a 0)
% 0.22/0.57 (assert (not (forall ((Xp (-> (-> tptp.a tptp.a tptp.a) tptp.a))) (=> (= Xp (lambda ((Xg (-> tptp.a tptp.a tptp.a))) (@ (@ Xg (@ Xp (lambda ((Xx tptp.a) (Xy tptp.a)) Xx))) (@ Xp (lambda ((Xx tptp.a) (Xy tptp.a)) Xy))))) (= (lambda ((Xg (-> tptp.a tptp.a tptp.a))) (@ (@ Xg (@ Xp (lambda ((Xx tptp.a) (Xy tptp.a)) Xx))) (@ Xp (lambda ((Xx tptp.a) (Xy tptp.a)) Xy)))) Xp)))))
% 0.22/0.57 (set-info :filename cvc5---1.0.5_659)
% 0.22/0.57 (check-sat-assuming ( true ))
% 0.22/0.57 ------- get file name : TPTP file name is SEV163^5
% 0.22/0.57 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_659.smt2...
% 0.22/0.57 --- Run --ho-elim --full-saturate-quant at 10...
% 0.22/0.57 % SZS status Theorem for SEV163^5
% 0.22/0.57 % SZS output start Proof for SEV163^5
% 0.22/0.57 (
% 0.22/0.57 (let ((_let_1 (not (forall ((Xp (-> (-> tptp.a tptp.a tptp.a) tptp.a))) (=> (= Xp (lambda ((Xg (-> tptp.a tptp.a tptp.a))) (@ (@ Xg (@ Xp (lambda ((Xx tptp.a) (Xy tptp.a)) Xx))) (@ Xp (lambda ((Xx tptp.a) (Xy tptp.a)) Xy))))) (= (lambda ((Xg (-> tptp.a tptp.a tptp.a))) (@ (@ Xg (@ Xp (lambda ((Xx tptp.a) (Xy tptp.a)) Xx))) (@ Xp (lambda ((Xx tptp.a) (Xy tptp.a)) Xy)))) Xp)))))) (let ((_let_2 (ho_16 k_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_3 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 _let_2))) (let ((_let_4 (ho_16 k_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_5 (ho_14 _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48))) (let ((_let_6 (= (ho_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48) _let_5))) (let ((_let_7 (= _let_5 (ho_10 (ho_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 (ho_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 k_12)) (ho_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 k_13))))) (let ((_let_8 (ho_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 k_11))) (let ((_let_9 (ho_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 k_8))) (let ((_let_10 (ho_10 (ho_9 k_13 _let_9) _let_8))) (let ((_let_11 (= _let_10 (ho_14 _let_2 k_13)))) (let ((_let_12 (ho_10 (ho_9 k_12 _let_9) _let_8))) (let ((_let_13 (= _let_12 (ho_14 _let_2 k_12)))) (let ((_let_14 (= (ho_10 (ho_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 _let_9) _let_8) (ho_14 _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48)))) (let ((_let_15 (= _let_8 _let_10))) (let ((_let_16 (= _let_9 _let_12))) (let ((_let_17 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 _let_4))) (let ((_let_18 (not _let_3))) (let ((_let_19 (or _let_18 _let_17))) (let ((_let_20 (forall ((BOUND_VARIABLE_792 |u_(-> _u_(-> tptp.a tptp.a tptp.a)_ tptp.a)|)) (or (not (= BOUND_VARIABLE_792 (ho_16 k_15 BOUND_VARIABLE_792))) (= BOUND_VARIABLE_792 (ho_16 k_17 BOUND_VARIABLE_792)))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (forall ((u |u_(-> tptp.a tptp.a)|) (e tptp.a) (i tptp.a)) (not (forall ((v |u_(-> tptp.a tptp.a)|)) (not (forall ((ii tptp.a)) (= (ho_10 v ii) (ite (= i ii) e (ho_10 u ii)))))))))) (let ((_let_23 (forall ((x |u_(-> tptp.a tptp.a)|) (y |u_(-> tptp.a tptp.a)|)) (or (not (forall ((z tptp.a)) (= (ho_10 x z) (ho_10 y z)))) (= x y))))) (let ((_let_24 (forall ((u |u_(-> tptp.a tptp.a tptp.a)|) (e |u_(-> tptp.a tptp.a)|) (i tptp.a)) (not (forall ((v |u_(-> tptp.a tptp.a tptp.a)|)) (not (forall ((ii tptp.a)) (= (ho_9 v ii) (ite (= i ii) e (ho_9 u ii)))))))))) (let ((_let_25 (forall ((x |u_(-> tptp.a tptp.a tptp.a)|) (y |u_(-> tptp.a tptp.a tptp.a)|)) (or (not (forall ((z tptp.a)) (= (ho_9 x z) (ho_9 y z)))) (= x y))))) (let ((_let_26 (forall ((u |u_(-> _u_(-> tptp.a tptp.a tptp.a)_ tptp.a)|) (e tptp.a) (i |u_(-> tptp.a tptp.a tptp.a)|)) (not (forall ((v |u_(-> _u_(-> tptp.a tptp.a tptp.a)_ tptp.a)|)) (not (forall ((ii |u_(-> tptp.a tptp.a tptp.a)|)) (= (ho_14 v ii) (ite (= i ii) e (ho_14 u ii)))))))))) (let ((_let_27 (forall ((x |u_(-> _u_(-> tptp.a tptp.a tptp.a)_ tptp.a)|) (y |u_(-> _u_(-> tptp.a tptp.a tptp.a)_ tptp.a)|)) (or (not (forall ((z |u_(-> tptp.a tptp.a tptp.a)|)) (= (ho_14 x z) (ho_14 y z)))) (= x y))))) (let ((_let_28 (forall ((u |u_(-> _u_(-> _u_(-> tptp.a tptp.a tptp.a)_ tptp.a)_ _u_(-> tptp.a tptp.a tptp.a)_ tptp.a)|) (e |u_(-> _u_(-> tptp.a tptp.a tptp.a)_ tptp.a)|) (i |u_(-> _u_(-> tptp.a tptp.a tptp.a)_ tptp.a)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.a tptp.a tptp.a)_ tptp.a)_ _u_(-> tptp.a tptp.a tptp.a)_ tptp.a)|)) (not (forall ((ii |u_(-> _u_(-> tptp.a tptp.a tptp.a)_ tptp.a)|)) (= (ho_16 v ii) (ite (= i ii) e (ho_16 u ii)))))))))) (let ((_let_29 (forall ((x |u_(-> _u_(-> _u_(-> tptp.a tptp.a tptp.a)_ tptp.a)_ _u_(-> tptp.a tptp.a tptp.a)_ tptp.a)|) (y |u_(-> _u_(-> _u_(-> tptp.a tptp.a tptp.a)_ tptp.a)_ _u_(-> tptp.a tptp.a tptp.a)_ tptp.a)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.a tptp.a tptp.a)_ tptp.a)|)) (= (ho_16 x z) (ho_16 y z)))) (= x y))))) (let ((_let_30 (forall ((BOUND_VARIABLE_705 tptp.a) (BOUND_VARIABLE_706 tptp.a)) (= BOUND_VARIABLE_705 (ho_10 (ho_9 k_8 BOUND_VARIABLE_705) BOUND_VARIABLE_706))))) (let ((_let_31 (forall ((BOUND_VARIABLE_699 tptp.a) (BOUND_VARIABLE_700 tptp.a)) (= BOUND_VARIABLE_700 (ho_10 (ho_9 k_11 BOUND_VARIABLE_699) BOUND_VARIABLE_700))))) (let ((_let_32 (forall ((BOUND_VARIABLE_693 tptp.a) (BOUND_VARIABLE_694 tptp.a)) (= BOUND_VARIABLE_693 (ho_10 (ho_9 k_12 BOUND_VARIABLE_693) BOUND_VARIABLE_694))))) (let ((_let_33 (forall ((BOUND_VARIABLE_687 tptp.a) (BOUND_VARIABLE_688 tptp.a)) (= BOUND_VARIABLE_688 (ho_10 (ho_9 k_13 BOUND_VARIABLE_687) BOUND_VARIABLE_688))))) (let ((_let_34 (forall ((BOUND_VARIABLE_759 |u_(-> _u_(-> tptp.a tptp.a tptp.a)_ tptp.a)|) (BOUND_VARIABLE_764 |u_(-> tptp.a tptp.a tptp.a)|)) (= (ho_10 (ho_9 BOUND_VARIABLE_764 (ho_14 BOUND_VARIABLE_759 k_8)) (ho_14 BOUND_VARIABLE_759 k_11)) (ho_14 (ho_16 k_15 BOUND_VARIABLE_759) BOUND_VARIABLE_764))))) (let ((_let_35 (forall ((BOUND_VARIABLE_778 |u_(-> _u_(-> tptp.a tptp.a tptp.a)_ tptp.a)|) (BOUND_VARIABLE_781 |u_(-> tptp.a tptp.a tptp.a)|)) (= (ho_10 (ho_9 BOUND_VARIABLE_781 (ho_14 BOUND_VARIABLE_778 k_12)) (ho_14 BOUND_VARIABLE_778 k_13)) (ho_14 (ho_16 k_17 BOUND_VARIABLE_778) BOUND_VARIABLE_781))))) (let ((_let_36 (not _let_20))) (let ((_let_37 (forall ((BOUND_VARIABLE_705 tptp.a) (BOUND_VARIABLE_706 tptp.a)) (= BOUND_VARIABLE_705 (ll_7 BOUND_VARIABLE_705 BOUND_VARIABLE_706))))) (let ((_let_38 (forall ((BOUND_VARIABLE_699 tptp.a) (BOUND_VARIABLE_700 tptp.a)) (= BOUND_VARIABLE_700 (ll_6 BOUND_VARIABLE_699 BOUND_VARIABLE_700))))) (let ((_let_39 (forall ((BOUND_VARIABLE_693 tptp.a) (BOUND_VARIABLE_694 tptp.a)) (= BOUND_VARIABLE_693 (ll_5 BOUND_VARIABLE_693 BOUND_VARIABLE_694))))) (let ((_let_40 (forall ((BOUND_VARIABLE_687 tptp.a) (BOUND_VARIABLE_688 tptp.a)) (= BOUND_VARIABLE_688 (ll_4 BOUND_VARIABLE_687 BOUND_VARIABLE_688))))) (let ((_let_41 (forall ((BOUND_VARIABLE_669 (-> (-> tptp.a tptp.a tptp.a) tptp.a)) (BOUND_VARIABLE_670 (-> tptp.a tptp.a tptp.a))) (= (ll_3 BOUND_VARIABLE_669 BOUND_VARIABLE_670) (@ (@ BOUND_VARIABLE_670 (@ BOUND_VARIABLE_669 ll_7)) (@ BOUND_VARIABLE_669 ll_6)))))) (let ((_let_42 (forall ((BOUND_VARIABLE_651 (-> (-> tptp.a tptp.a tptp.a) tptp.a)) (BOUND_VARIABLE_652 (-> tptp.a tptp.a tptp.a))) (= (ll_2 BOUND_VARIABLE_651 BOUND_VARIABLE_652) (@ (@ BOUND_VARIABLE_652 (@ BOUND_VARIABLE_651 ll_5)) (@ BOUND_VARIABLE_651 ll_4)))))) (let ((_let_43 (not (forall ((Xp (-> (-> tptp.a tptp.a tptp.a) tptp.a))) (or (not (= Xp (@ ll_3 Xp))) (= Xp (@ ll_2 Xp))))))) (let ((_let_44 (and _let_43 _let_42 _let_41 _let_40 _let_39 _let_38 _let_37))) (let ((_let_45 (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((Xp (-> (-> tptp.a tptp.a tptp.a) tptp.a))) (or (not (= Xp (lambda ((Xg (-> tptp.a tptp.a tptp.a))) (@ (@ Xg (@ Xp (lambda ((Xx tptp.a) (Xy tptp.a)) Xx))) (@ Xp (lambda ((Xx tptp.a) (Xy tptp.a)) Xy)))))) (= Xp (lambda ((Xg (-> tptp.a tptp.a tptp.a))) (@ (@ Xg (@ Xp (lambda ((Xx tptp.a) (Xy tptp.a)) Xx))) (@ Xp (lambda ((Xx tptp.a) (Xy tptp.a)) Xy)))))))) _let_43))))) (PREPROCESS :args ((and _let_42 _let_41 _let_40 _let_39 _let_38 _let_37)))) :args (_let_44)) (PREPROCESS :args ((= _let_44 (and _let_36 _let_35 _let_34 _let_33 _let_32 _let_31 _let_30))))) (PREPROCESS :args ((and _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22)))) :args ((and _let_36 _let_35 _let_34 _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22))))) (let ((_let_46 (or))) (let ((_let_47 (_let_36))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_47)) :args _let_47)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_20))) (REFL :args (_let_21)) :args _let_46)) (AND_ELIM _let_45 :args (0)) :args (_let_21 true _let_20)))) (let ((_let_49 (forall ((z |u_(-> tptp.a tptp.a tptp.a)|)) (= (ho_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 z) (ho_14 (ho_16 k_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18) z))))) (let ((_let_50 (not _let_6))) (let ((_let_51 (not _let_49))) (let ((_let_52 (or _let_51 _let_17))) (let ((_let_53 (_let_27))) (let ((_let_54 (_let_51))) (let ((_let_55 (_let_35))) (let ((_let_56 (AND_ELIM _let_45 :args (2)))) (let ((_let_57 (_let_34))) (let ((_let_58 ((ho_14 (ho_16 k_15 BOUND_VARIABLE_759) BOUND_VARIABLE_764)))) (let ((_let_59 (ASSUME :args _let_57))) (let ((_let_60 (_let_33))) (let ((_let_61 (_let_32))) (let ((_let_62 (and _let_3 _let_7 _let_11 _let_13 _let_14 _let_15 _let_16))) (let ((_let_63 (ASSUME :args (_let_7)))) (let ((_let_64 (APPLY_UF ho_14))) (let ((_let_65 (ASSUME :args (_let_3)))) (let ((_let_66 (SYMM _let_65))) (let ((_let_67 (ASSUME :args (_let_11)))) (let ((_let_68 (ASSUME :args (_let_15)))) (let ((_let_69 (ASSUME :args (_let_13)))) (let ((_let_70 (ASSUME :args (_let_16)))) (let ((_let_71 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48)))) (let ((_let_72 (ASSUME :args (_let_14)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_62)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_63 _let_65 _let_69 _let_70 _let_67 _let_68 _let_72) (SCOPE (TRANS (CONG _let_65 _let_71 :args _let_64) (SYMM _let_72) (CONG (CONG _let_71 (TRANS (SYMM (SYMM _let_70)) (SYMM (SYMM _let_69)) (CONG _let_66 (REFL :args (k_12)) :args _let_64)) :args (APPLY_UF ho_9)) (TRANS (SYMM (SYMM _let_68)) (SYMM (SYMM _let_67)) (CONG _let_66 (REFL :args (k_13)) :args _let_64)) :args (APPLY_UF ho_10)) (SYMM _let_63)) :args (_let_7 _let_3 _let_13 _let_16 _let_11 _let_15 _let_14))) :args (_let_3 _let_7 _let_11 _let_13 _let_14 _let_15 _let_16))) :args (true _let_62)) :args ((or _let_18 _let_6 (not _let_7) (not _let_11) (not _let_13) (not _let_14) (not _let_15) (not _let_16)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_61) :args (_let_9 _let_8 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_61)) (AND_ELIM _let_45 :args (4)) :args (_let_16 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_60) :args (_let_9 _let_8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_60)) (AND_ELIM _let_45 :args (3)) :args (_let_15 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_57)) _let_56 :args (_let_14 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 k_12 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_57)) _let_56 :args (_let_13 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 k_13 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_57)) _let_56 :args (_let_11 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_55) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 QUANTIFIERS_INST_E_MATCHING ((ho_14 (ho_16 k_17 BOUND_VARIABLE_778) BOUND_VARIABLE_781)))) :args _let_55))) (AND_ELIM _let_45 :args (1)) :args (_let_7 false _let_35)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_54)) :args _let_54)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_49))) (REFL :args (_let_50)) :args _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_17 _let_51 (not _let_52)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_19 1)) _let_48 :args ((not _let_17) true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_53) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 _let_4 QUANTIFIERS_INST_ENUM)) :args _let_53)) (AND_ELIM _let_45 :args (9)) :args (_let_52 false _let_27)) :args (_let_51 true _let_17 false _let_52)) :args (_let_50 true _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 0)) (CONG (REFL :args (_let_19)) (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_3))) :args _let_46)) :args ((or _let_3 _let_19))) _let_48 :args (_let_3 true _let_19)) :args (false false _let_16 false _let_15 false _let_14 false _let_13 false _let_11 false _let_7 true _let_6 false _let_3)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.57 )
% 0.22/0.57 % SZS output end Proof for SEV163^5
% 0.22/0.57 % cvc5---1.0.5 exiting
% 0.22/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------