TSTP Solution File: SEV138^5 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV138^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 19:21:40 EDT 2023
% Result : Theorem 0.22s 0.54s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV138^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 02:12:42 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.49 %----Proving TH0
% 0.22/0.54 %------------------------------------------------------------------------------
% 0.22/0.54 % File : SEV138^5 : TPTP v8.1.2. Released v4.0.0.
% 0.22/0.54 % Domain : Set Theory (Relations)
% 0.22/0.54 % Problem : TPS problem THM150
% 0.22/0.54 % Version : Especial.
% 0.22/0.54 % English : The transitive closure TC2 of a relation is transitive.
% 0.22/0.54
% 0.22/0.54 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.22/0.54 % Source : [Bro09]
% 0.22/0.54 % Names : tps_0495 [Bro09]
% 0.22/0.54 % : tps_1086 [Bro09]
% 0.22/0.54 % : THM150 [TPS]
% 0.22/0.54
% 0.22/0.54 % Status : Theorem
% 0.22/0.54 % Rating : 0.00 v8.1.0, 0.08 v7.4.0, 0.00 v7.3.0, 0.10 v7.2.0, 0.00 v6.2.0, 0.17 v6.0.0, 0.00 v5.1.0, 0.25 v5.0.0, 0.00 v4.0.1, 0.33 v4.0.0
% 0.22/0.54 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.22/0.54 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.22/0.54 % Maximal formula atoms : 0 ( 0 avg)
% 0.22/0.54 % Number of connectives : 41 ( 0 ~; 0 |; 7 &; 24 @)
% 0.22/0.54 % ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% 0.22/0.54 % Maximal formula depth : 16 ( 16 avg)
% 0.22/0.54 % Number of types : 2 ( 1 usr)
% 0.22/0.54 % Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% 0.22/0.54 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.22/0.54 % Number of variables : 16 ( 0 ^; 16 !; 0 ?; 16 :)
% 0.22/0.54 % SPC : TH0_THM_NEQ_NAR
% 0.22/0.54
% 0.22/0.54 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.22/0.54 % project in the Department of Mathematical Sciences at Carnegie
% 0.22/0.54 % Mellon University. Distributed under the Creative Commons copyleft
% 0.22/0.54 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.22/0.54 % : Polymorphic definitions expanded.
% 0.22/0.54 %------------------------------------------------------------------------------
% 0.22/0.54 thf(a_type,type,
% 0.22/0.54 a: $tType ).
% 0.22/0.54
% 0.22/0.54 thf(cTHM150_pme,conjecture,
% 0.22/0.54 ! [Xr: a > a > $o,Xx: a,Xy: a,Xz: a] :
% 0.22/0.54 ( ( ! [Xq: a > $o] :
% 0.22/0.54 ( ( ! [Xw: a] :
% 0.22/0.54 ( ( Xr @ Xx @ Xw )
% 0.22/0.54 => ( Xq @ Xw ) )
% 0.22/0.54 & ! [Xu: a,Xv: a] :
% 0.22/0.54 ( ( ( Xq @ Xu )
% 0.22/0.54 & ( Xr @ Xu @ Xv ) )
% 0.22/0.54 => ( Xq @ Xv ) ) )
% 0.22/0.54 => ( Xq @ Xy ) )
% 0.22/0.54 & ! [Xq: a > $o] :
% 0.22/0.54 ( ( ! [Xw: a] :
% 0.22/0.54 ( ( Xr @ Xy @ Xw )
% 0.22/0.54 => ( Xq @ Xw ) )
% 0.22/0.54 & ! [Xu: a,Xv: a] :
% 0.22/0.54 ( ( ( Xq @ Xu )
% 0.22/0.54 & ( Xr @ Xu @ Xv ) )
% 0.22/0.54 => ( Xq @ Xv ) ) )
% 0.22/0.54 => ( Xq @ Xz ) ) )
% 0.22/0.54 => ! [Xq: a > $o] :
% 0.22/0.54 ( ( ! [Xw: a] :
% 0.22/0.54 ( ( Xr @ Xx @ Xw )
% 0.22/0.54 => ( Xq @ Xw ) )
% 0.22/0.54 & ! [Xu: a,Xv: a] :
% 0.22/0.54 ( ( ( Xq @ Xu )
% 0.22/0.54 & ( Xr @ Xu @ Xv ) )
% 0.22/0.54 => ( Xq @ Xv ) ) )
% 0.22/0.54 => ( Xq @ Xz ) ) ) ).
% 0.22/0.54
% 0.22/0.54 %------------------------------------------------------------------------------
% 0.22/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.SpExV9C4Y8/cvc5---1.0.5_22419.p...
% 0.22/0.54 (declare-sort $$unsorted 0)
% 0.22/0.54 (declare-sort tptp.a 0)
% 0.22/0.54 (assert (not (forall ((Xr (-> tptp.a tptp.a Bool)) (Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (=> (and (forall ((Xq (-> tptp.a Bool))) (=> (and (forall ((Xw tptp.a)) (=> (@ (@ Xr Xx) Xw) (@ Xq Xw))) (forall ((Xu tptp.a) (Xv tptp.a)) (=> (and (@ Xq Xu) (@ (@ Xr Xu) Xv)) (@ Xq Xv)))) (@ Xq Xy))) (forall ((Xq (-> tptp.a Bool))) (=> (and (forall ((Xw tptp.a)) (=> (@ (@ Xr Xy) Xw) (@ Xq Xw))) (forall ((Xu tptp.a) (Xv tptp.a)) (=> (and (@ Xq Xu) (@ (@ Xr Xu) Xv)) (@ Xq Xv)))) (@ Xq Xz)))) (forall ((Xq (-> tptp.a Bool))) (=> (and (forall ((Xw tptp.a)) (=> (@ (@ Xr Xx) Xw) (@ Xq Xw))) (forall ((Xu tptp.a) (Xv tptp.a)) (=> (and (@ Xq Xu) (@ (@ Xr Xu) Xv)) (@ Xq Xv)))) (@ Xq Xz)))))))
% 0.22/0.54 (set-info :filename cvc5---1.0.5_22419)
% 0.22/0.54 (check-sat-assuming ( true ))
% 0.22/0.54 ------- get file name : TPTP file name is SEV138^5
% 0.22/0.54 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22419.smt2...
% 0.22/0.54 --- Run --ho-elim --full-saturate-quant at 10...
% 0.22/0.54 % SZS status Theorem for SEV138^5
% 0.22/0.54 % SZS output start Proof for SEV138^5
% 0.22/0.54 (
% 0.22/0.54 (let ((_let_1 (not (forall ((Xr (-> tptp.a tptp.a Bool)) (Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (=> (and (forall ((Xq (-> tptp.a Bool))) (=> (and (forall ((Xw tptp.a)) (=> (@ (@ Xr Xx) Xw) (@ Xq Xw))) (forall ((Xu tptp.a) (Xv tptp.a)) (=> (and (@ Xq Xu) (@ (@ Xr Xu) Xv)) (@ Xq Xv)))) (@ Xq Xy))) (forall ((Xq (-> tptp.a Bool))) (=> (and (forall ((Xw tptp.a)) (=> (@ (@ Xr Xy) Xw) (@ Xq Xw))) (forall ((Xu tptp.a) (Xv tptp.a)) (=> (and (@ Xq Xu) (@ (@ Xr Xu) Xv)) (@ Xq Xv)))) (@ Xq Xz)))) (forall ((Xq (-> tptp.a Bool))) (=> (and (forall ((Xw tptp.a)) (=> (@ (@ Xr Xx) Xw) (@ Xq Xw))) (forall ((Xu tptp.a) (Xv tptp.a)) (=> (and (@ Xq Xu) (@ (@ Xr Xu) Xv)) (@ Xq Xv)))) (@ Xq Xz)))))))) (let ((_let_2 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_3 (forall ((Xu tptp.a) (Xv tptp.a)) (or (not (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xu)) (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xu) Xv)) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xv))))) (let ((_let_4 (not _let_3))) (let ((_let_5 (forall ((Xw tptp.a)) (or (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) Xw)) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xw))))) (let ((_let_6 (not _let_5))) (let ((_let_7 (or _let_6 _let_4 _let_2))) (let ((_let_8 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_9 (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_10 (not _let_9))) (let ((_let_11 (not _let_2))) (let ((_let_12 (or _let_11 _let_10 _let_8))) (let ((_let_13 (forall ((Xu tptp.a) (Xv tptp.a)) (or (not (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xu)) (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xu) Xv)) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xv))))) (let ((_let_14 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_15 (not _let_13))) (let ((_let_16 (forall ((Xw tptp.a)) (or (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) Xw)) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xw))))) (let ((_let_17 (not _let_16))) (let ((_let_18 (forall ((BOUND_VARIABLE_761 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xw tptp.a)) (or (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) Xw)) (ho_2 BOUND_VARIABLE_761 Xw)))) (not (forall ((Xu tptp.a) (Xv tptp.a)) (or (not (ho_2 BOUND_VARIABLE_761 Xu)) (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xu) Xv)) (ho_2 BOUND_VARIABLE_761 Xv)))) (ho_2 BOUND_VARIABLE_761 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) (let ((_let_19 (not _let_18))) (let ((_let_20 (forall ((BOUND_VARIABLE_783 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xw tptp.a)) (or (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) Xw)) (ho_2 BOUND_VARIABLE_783 Xw)))) (not (forall ((Xu tptp.a) (Xv tptp.a)) (or (not (ho_2 BOUND_VARIABLE_783 Xu)) (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xu) Xv)) (ho_2 BOUND_VARIABLE_783 Xv)))) (ho_2 BOUND_VARIABLE_783 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_17 _let_15 _let_14))) (let ((_let_23 (forall ((BOUND_VARIABLE_743 |u_(-> tptp.a tptp.a Bool)|) (Xx tptp.a) (Xy tptp.a) (Xz tptp.a) (BOUND_VARIABLE_737 |u_(-> tptp.a Bool)|)) (or (not (forall ((BOUND_VARIABLE_783 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xw tptp.a)) (or (not (ho_2 (ho_3 BOUND_VARIABLE_743 Xx) Xw)) (ho_2 BOUND_VARIABLE_783 Xw)))) (not (forall ((Xu tptp.a) (Xv tptp.a)) (or (not (ho_2 BOUND_VARIABLE_783 Xu)) (not (ho_2 (ho_3 BOUND_VARIABLE_743 Xu) Xv)) (ho_2 BOUND_VARIABLE_783 Xv)))) (ho_2 BOUND_VARIABLE_783 Xy)))) (not (forall ((BOUND_VARIABLE_761 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xw tptp.a)) (or (not (ho_2 (ho_3 BOUND_VARIABLE_743 Xy) Xw)) (ho_2 BOUND_VARIABLE_761 Xw)))) (not (forall ((Xu tptp.a) (Xv tptp.a)) (or (not (ho_2 BOUND_VARIABLE_761 Xu)) (not (ho_2 (ho_3 BOUND_VARIABLE_743 Xu) Xv)) (ho_2 BOUND_VARIABLE_761 Xv)))) (ho_2 BOUND_VARIABLE_761 Xz)))) (not (forall ((Xw tptp.a)) (or (not (ho_2 (ho_3 BOUND_VARIABLE_743 Xx) Xw)) (ho_2 BOUND_VARIABLE_737 Xw)))) (not (forall ((Xu tptp.a) (Xv tptp.a)) (or (not (ho_2 BOUND_VARIABLE_737 Xu)) (not (ho_2 (ho_3 BOUND_VARIABLE_743 Xu) Xv)) (ho_2 BOUND_VARIABLE_737 Xv)))) (ho_2 BOUND_VARIABLE_737 Xz))))) (let ((_let_24 (not _let_22))) (let ((_let_25 (forall ((u |u_(-> tptp.a Bool)|) (e Bool) (i tptp.a)) (not (forall ((v |u_(-> tptp.a Bool)|)) (not (forall ((ii tptp.a)) (= (ho_2 v ii) (ite (= i ii) e (ho_2 u ii)))))))))) (let ((_let_26 (forall ((x |u_(-> tptp.a Bool)|) (y |u_(-> tptp.a Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_2 x z) (ho_2 y z)))) (= x y))))) (let ((_let_27 (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_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_28 (forall ((x |u_(-> tptp.a tptp.a Bool)|) (y |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_29 (not _let_23))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((Xr (-> tptp.a tptp.a Bool)) (Xx tptp.a) (Xy tptp.a) (Xz tptp.a) (BOUND_VARIABLE_716 (-> tptp.a Bool))) (or (not (forall ((Xq (-> tptp.a Bool))) (or (not (forall ((Xw tptp.a)) (or (not (@ (@ Xr Xx) Xw)) (@ Xq Xw)))) (not (forall ((Xu tptp.a) (Xv tptp.a)) (or (not (@ Xq Xu)) (not (@ (@ Xr Xu) Xv)) (@ Xq Xv)))) (@ Xq Xy)))) (not (forall ((Xq (-> tptp.a Bool))) (or (not (forall ((Xw tptp.a)) (or (not (@ (@ Xr Xy) Xw)) (@ Xq Xw)))) (not (forall ((Xu tptp.a) (Xv tptp.a)) (or (not (@ Xq Xu)) (not (@ (@ Xr Xu) Xv)) (@ Xq Xv)))) (@ Xq Xz)))) (not (forall ((Xw tptp.a)) (or (not (@ (@ Xr Xx) Xw)) (@ BOUND_VARIABLE_716 Xw)))) (not (forall ((Xu tptp.a) (Xv tptp.a)) (or (not (@ BOUND_VARIABLE_716 Xu)) (not (@ (@ Xr Xu) Xv)) (@ BOUND_VARIABLE_716 Xv)))) (@ BOUND_VARIABLE_716 Xz)))) _let_29))))))) (let ((_let_31 (or))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_30) :args (_let_29))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_23))) (REFL :args (_let_24)) :args _let_31)) (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO _let_30 (PREPROCESS :args ((and _let_28 _let_27 _let_26 _let_25)))) :args ((and _let_29 _let_28 _let_27 _let_26 _let_25))) :args (0)) :args (_let_24 true _let_23)))) (let ((_let_33 (REFL :args (_let_22)))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 3)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_13))) :args _let_31)) :args ((or _let_13 _let_22))) _let_32 :args (_let_13 true _let_22)))) (let ((_let_35 (_let_13))) (let ((_let_36 (or _let_10 _let_8))) (let ((_let_37 (forall ((Xw tptp.a)) (or (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) Xw)) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xw))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (forall ((Xu tptp.a) (Xv tptp.a)) (or (not (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xu)) (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xu) Xv)) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xv))))) (let ((_let_40 (not _let_39))) (let ((_let_41 (not _let_37))) (let ((_let_42 (or _let_41 _let_40 _let_14))) (let ((_let_43 (_let_18))) (let ((_let_44 (_let_41))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_44)) :args _let_44)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_37))) (REFL :args (_let_38)) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_14 _let_41 _let_40 (not _let_42)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_22 4)) _let_32 :args ((not _let_14) true _let_22)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_13 (= Xv Xv) (= Xu Xu)))) _let_34 :args (_let_39 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_43) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_2 BOUND_VARIABLE_761 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) true))))) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 1)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_31)) :args ((or _let_18 _let_22))) _let_32 :args (_let_18 true _let_22)) :args (_let_42 false _let_18)) :args (_let_41 true _let_14 false _let_39 false _let_42)) :args (_let_38 true _let_37)))) (let ((_let_46 (_let_20))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_7)) :args ((or _let_2 _let_6 _let_4 (not _let_7)))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_13 (= Xv Xv) (= Xu Xu)))) _let_34 :args (_let_3 false _let_13)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_16 (= Xw Xw)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 2)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_31)) :args ((or _let_16 _let_22))) _let_32 :args (_let_16 true _let_22)) :args (_let_5 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_46) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_2 BOUND_VARIABLE_783 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) true))))) :args _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 0)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_31)) :args ((or _let_20 _let_22))) _let_32 :args (_let_20 true _let_22)) :args (_let_7 false _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_10 _let_8 _let_11 (not _let_12)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG (REFL :args (_let_36)) (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_31)) :args ((or _let_9 _let_36))) _let_45 :args (_let_9 true _let_36)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_36 1)) _let_45 :args ((not _let_8) true _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_35) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING ((not (= (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xu) Xv) false))))) :args _let_35)) _let_34 :args (_let_12 false _let_13)) :args (_let_11 false _let_9 true _let_8 false _let_12)) :args (false false _let_3 false _let_5 false _let_7 true _let_2)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.54 )
% 0.22/0.54 % SZS output end Proof for SEV138^5
% 0.22/0.54 % cvc5---1.0.5 exiting
% 0.22/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------