TSTP Solution File: PUZ081^3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PUZ081^3 : TPTP v8.1.2. Released v3.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 13:13:18 EDT 2023
% Result : Theorem 0.16s 0.43s
% Output : Proof 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : PUZ081^3 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.11 % Command : do_cvc5 %s %d
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Sat Aug 26 22:40:14 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.40 %----Proving TH0
% 0.16/0.43 %------------------------------------------------------------------------------
% 0.16/0.43 % File : PUZ081^3 : TPTP v8.1.2. Released v3.6.0.
% 0.16/0.43 % Domain : Puzzles
% 0.16/0.43 % Problem : 1 of http://philosophy.hku.hk/think/logic/knight.php
% 0.16/0.43 % Version : Especial.
% 0.16/0.43 % English : A very special island is inhabited only by knights and knaves.
% 0.16/0.43 % Knights always tell the truth, and knaves always lie. You meet two
% 0.16/0.43 % inhabitants: Zoey and Mel. Zoey tells you that Mel is a knave. Mel
% 0.16/0.43 % says, `Neither Zoey nor I are knaves'. Who is a knight and who is
% 0.16/0.43 % a knave?
% 0.16/0.43
% 0.16/0.43 % Refs :
% 0.16/0.43 % Source : [TPTP]
% 0.16/0.43 % Names :
% 0.16/0.43
% 0.16/0.43 % Status : Theorem
% 0.16/0.43 % Rating : 0.18 v8.1.0, 0.17 v7.4.0, 0.22 v7.3.0, 0.20 v7.2.0, 0.25 v7.1.0, 0.29 v7.0.0, 0.25 v6.4.0, 0.29 v6.3.0, 0.33 v6.2.0, 0.17 v6.1.0, 0.33 v5.5.0, 0.00 v5.3.0, 0.50 v5.2.0, 0.25 v5.1.0, 0.00 v3.7.0
% 0.16/0.43 % Syntax : Number of formulae : 11 ( 0 unt; 5 typ; 0 def)
% 0.16/0.43 % Number of atoms : 13 ( 0 equ; 0 cnn)
% 0.16/0.43 % Maximal formula atoms : 3 ( 2 avg)
% 0.16/0.43 % Number of connectives : 27 ( 3 ~; 0 |; 4 &; 17 @)
% 0.16/0.43 % ( 0 <=>; 2 =>; 0 <=; 1 <~>)
% 0.16/0.43 % Maximal formula depth : 7 ( 5 avg)
% 0.16/0.43 % Number of types : 2 ( 0 usr)
% 0.16/0.43 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 0.16/0.43 % Number of symbols : 5 ( 5 usr; 2 con; 0-2 aty)
% 0.16/0.43 % Number of variables : 7 ( 0 ^; 5 !; 2 ?; 7 :)
% 0.16/0.43 % SPC : TH0_THM_NEQ_NAR
% 0.16/0.43
% 0.16/0.43 % Comments : See http://philosophy.hku.hk/think/logic/knight.php
% 0.16/0.43 % : This version finds a knight and a knave
% 0.16/0.43 %------------------------------------------------------------------------------
% 0.16/0.43 %----Type declarations
% 0.16/0.43 thf(mel_type,type,
% 0.16/0.43 mel: $i ).
% 0.16/0.43
% 0.16/0.43 thf(zoey_type,type,
% 0.16/0.43 zoey: $i ).
% 0.16/0.43
% 0.16/0.43 thf(knight_type,type,
% 0.16/0.43 knight: $i > $o ).
% 0.16/0.43
% 0.16/0.43 thf(knave_type,type,
% 0.16/0.43 knave: $i > $o ).
% 0.16/0.43
% 0.16/0.43 thf(says_type,type,
% 0.16/0.43 says: $i > $o > $o ).
% 0.16/0.43
% 0.16/0.43 %----A very special island is inhabited only by knights and knaves.
% 0.16/0.43 thf(knights_xor_knaves,axiom,
% 0.16/0.43 ! [P: $i] :
% 0.16/0.43 ( ( knight @ P )
% 0.16/0.43 <~> ( knave @ P ) ) ).
% 0.16/0.43
% 0.16/0.43 %----Knights always tell the truth
% 0.16/0.43 thf(knights_tell_truth,axiom,
% 0.16/0.43 ! [P: $i,S: $o] :
% 0.16/0.43 ( ( ( knight @ P )
% 0.16/0.43 & ( says @ P @ S ) )
% 0.16/0.43 => S ) ).
% 0.16/0.43
% 0.16/0.43 %----Knaves always lie
% 0.16/0.43 thf(knaves_lie,axiom,
% 0.16/0.43 ! [P: $i,S: $o] :
% 0.16/0.43 ( ( ( knave @ P )
% 0.16/0.43 & ( says @ P @ S ) )
% 0.16/0.43 => ~ S ) ).
% 0.16/0.43
% 0.16/0.43 %----Zoey says 'Mel is a knave'
% 0.16/0.43 thf(zoey_speaks,axiom,
% 0.16/0.43 says @ zoey @ ( knave @ mel ) ).
% 0.16/0.43
% 0.16/0.43 %----Mel says `Neither Zoey nor I are knaves.'
% 0.16/0.43 thf(mel_speaks,axiom,
% 0.16/0.43 ( says @ mel
% 0.16/0.43 @ ( ~ ( knave @ zoey )
% 0.16/0.43 & ~ ( knave @ mel ) ) ) ).
% 0.16/0.43
% 0.16/0.43 %----What are Zoey and Mel
% 0.16/0.43 thf(who_is_knight_and_knave,conjecture,
% 0.16/0.43 ? [Knight: $i,Knave: $i] :
% 0.16/0.43 ( ( knight @ Knight )
% 0.16/0.43 & ( knave @ Knave ) ) ).
% 0.16/0.43
% 0.16/0.43 %------------------------------------------------------------------------------
% 0.16/0.43 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.mclKdC0pw1/cvc5---1.0.5_2940.p...
% 0.16/0.43 (declare-sort $$unsorted 0)
% 0.16/0.43 (declare-fun tptp.mel () $$unsorted)
% 0.16/0.43 (declare-fun tptp.zoey () $$unsorted)
% 0.16/0.43 (declare-fun tptp.knight ($$unsorted) Bool)
% 0.16/0.43 (declare-fun tptp.knave ($$unsorted) Bool)
% 0.16/0.43 (declare-fun tptp.says ($$unsorted Bool) Bool)
% 0.16/0.43 (assert (forall ((P $$unsorted)) (xor (@ tptp.knight P) (@ tptp.knave P))))
% 0.16/0.43 (assert (forall ((P $$unsorted) (S Bool)) (=> (and (@ tptp.knight P) (@ (@ tptp.says P) S)) S)))
% 0.16/0.43 (assert (forall ((P $$unsorted) (S Bool)) (=> (and (@ tptp.knave P) (@ (@ tptp.says P) S)) (not S))))
% 0.16/0.43 (assert (@ (@ tptp.says tptp.zoey) (@ tptp.knave tptp.mel)))
% 0.16/0.43 (assert (@ (@ tptp.says tptp.mel) (and (not (@ tptp.knave tptp.zoey)) (not (@ tptp.knave tptp.mel)))))
% 0.16/0.43 (assert (not (exists ((Knight $$unsorted) (Knave $$unsorted)) (and (@ tptp.knight Knight) (@ tptp.knave Knave)))))
% 0.16/0.43 (set-info :filename cvc5---1.0.5_2940)
% 0.16/0.43 (check-sat-assuming ( true ))
% 0.16/0.43 ------- get file name : TPTP file name is PUZ081^3
% 0.16/0.43 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2940.smt2...
% 0.16/0.43 --- Run --ho-elim --full-saturate-quant at 10...
% 0.16/0.43 % SZS status Theorem for PUZ081^3
% 0.16/0.43 % SZS output start Proof for PUZ081^3
% 0.16/0.43 (
% 0.16/0.43 (let ((_let_1 (not (exists ((Knight $$unsorted) (Knave $$unsorted)) (and (@ tptp.knight Knight) (@ tptp.knave Knave)))))) (let ((_let_2 (@ tptp.knave tptp.mel))) (let ((_let_3 (@ (@ tptp.says tptp.mel) (and (not (@ tptp.knave tptp.zoey)) (not _let_2))))) (let ((_let_4 (@ (@ tptp.says tptp.zoey) _let_2))) (let ((_let_5 (forall ((P $$unsorted) (S Bool)) (=> (and (@ tptp.knave P) (@ (@ tptp.says P) S)) (not S))))) (let ((_let_6 (forall ((P $$unsorted) (S Bool)) (=> (and (@ tptp.knight P) (@ (@ tptp.says P) S)) S)))) (let ((_let_7 (forall ((P $$unsorted)) (xor (@ tptp.knight P) (@ tptp.knave P))))) (let ((_let_8 (ho_6 k_5 tptp.mel))) (let ((_let_9 (ho_7 _let_8 BOOLEAN_TERM_VARIABLE_863))) (let ((_let_10 (ho_7 _let_8 BOOLEAN_TERM_VARIABLE_1181))) (let ((_let_11 (APPLY_UF ho_7))) (let ((_let_12 (ho_3 k_4 tptp.mel))) (let ((_let_13 (not _let_12))) (let ((_let_14 (ho_3 k_4 tptp.zoey))) (let ((_let_15 (not _let_14))) (let ((_let_16 (and _let_15 _let_13))) (let ((_let_17 (MACRO_SR_PRED_INTRO :args ((= _let_16 BOOLEAN_TERM_VARIABLE_863))))) (let ((_let_18 (REFL :args (_let_8)))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (PREPROCESS :args ((= _let_3 (ho_7 _let_8 _let_16)))) (CONG _let_18 _let_17 :args _let_11))))) (let ((_let_20 ((= BOOLEAN_TERM_VARIABLE_1181 false)))) (let ((_let_21 (MACRO_SR_PRED_INTRO :args _let_20))) (let ((_let_22 (EQ_RESOLVE _let_21 (REWRITE :args _let_20)))) (let ((_let_23 (not _let_10))) (let ((_let_24 (ho_3 k_2 tptp.mel))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23))) (let ((_let_27 (forall ((P $$unsorted)) (or (not (ho_3 k_2 P)) (not (ho_7 (ho_6 k_5 P) false)))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_6)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((P $$unsorted)) (or (not (@ tptp.knight P)) (not (@ (@ tptp.says P) false)))) _let_27))))))) (let ((_let_29 (=>))) (let ((_let_30 (or))) (let ((_let_31 (not))) (let ((_let_32 (MACRO_SR_PRED_INTRO :args ((= false BOOLEAN_TERM_VARIABLE_1181))))) (let ((_let_33 (_let_27))) (let ((_let_34 (REFL :args _let_33))) (let ((_let_35 ((ho_6 k_5 P)))) (let ((_let_36 (= _let_12 _let_25))) (let ((_let_37 (forall ((P $$unsorted)) (= (not (ho_3 k_2 P)) (ho_3 k_4 P))))) (let ((_let_38 (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_39 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_40 (forall ((u |u_(-> Bool Bool)|) (e Bool) (i Bool)) (not (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_7 v ii) (ite (= i ii) e (ho_7 u ii)))))))))) (let ((_let_41 (forall ((x |u_(-> Bool Bool)|) (y |u_(-> Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_7 x z) (ho_7 y z)))) (= x y))))) (let ((_let_42 (forall ((u |u_(-> $$unsorted Bool Bool)|) (e |u_(-> Bool Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii)))))))))) (let ((_let_43 (forall ((x |u_(-> $$unsorted Bool Bool)|) (y |u_(-> $$unsorted Bool Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_6 x z) (ho_6 y z)))) (= x y))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_7)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((P $$unsorted)) (= (@ tptp.knave P) (not (@ tptp.knight P)))) _let_37))))))) (let ((_let_45 (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO _let_44 (PREPROCESS :args ((and _let_43 _let_42 _let_41 _let_40 _let_39 _let_38)))) :args ((and _let_37 _let_43 _let_42 _let_41 _let_40 _let_39 _let_38))) :args (0)))) (let ((_let_46 (_let_37))) (let ((_let_47 ((ho_3 k_4 P)))) (let ((_let_48 (ho_6 k_5 tptp.zoey))) (let ((_let_49 (ho_7 _let_48 BOOLEAN_TERM_VARIABLE_854))) (let ((_let_50 (ho_7 _let_48 BOOLEAN_TERM_VARIABLE_1236))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_15 _let_51))) (let ((_let_53 (ho_3 k_2 tptp.zoey))) (let ((_let_54 (not _let_53))) (let ((_let_55 (= _let_14 _let_54))) (let ((_let_56 (forall ((Knight $$unsorted)) (not (ho_3 k_2 Knight))))) (let ((_let_57 (forall ((Knave $$unsorted)) (not (ho_3 k_4 Knave))))) (let ((_let_58 (SYMM (MACRO_SR_PRED_INTRO :args ((= BOOLEAN_TERM_VARIABLE_854 _let_12)))))) (let ((_let_59 (REFL :args (_let_48)))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_4)) (TRANS (PREPROCESS :args ((= _let_4 (ho_7 _let_48 _let_12)))) (CONG _let_59 _let_58 :args _let_11))))) (let ((_let_61 ((= BOOLEAN_TERM_VARIABLE_1236 true)))) (let ((_let_62 (MACRO_SR_PRED_INTRO :args _let_61))) (let ((_let_63 (EQ_RESOLVE _let_62 (REWRITE :args _let_61)))) (let ((_let_64 (not BOOLEAN_TERM_VARIABLE_854))) (let ((_let_65 (not _let_49))) (let ((_let_66 (and BOOLEAN_TERM_VARIABLE_854 _let_49 BOOLEAN_TERM_VARIABLE_1236))) (let ((_let_67 (TRUE_INTRO _let_60))) (let ((_let_68 (ASSUME :args (BOOLEAN_TERM_VARIABLE_854)))) (let ((_let_69 (forall ((P $$unsorted)) (or (not (ho_3 k_4 P)) (not (ho_7 (ho_6 k_5 P) true)))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_5)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((P $$unsorted)) (or (not (@ tptp.knave P)) (not (@ (@ tptp.says P) true)))) _let_69))))))) (let ((_let_71 (_let_69))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.zoey QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_46))) _let_45 :args (_let_55 false _let_37)))) (let ((_let_73 (not _let_55))) (let ((_let_74 (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_55)) (CONG (REFL :args (_let_73)) (REFL :args (_let_14)) (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_30)) :args ((or _let_14 _let_53 _let_73))))) (let ((_let_75 (_let_56))) (let ((_let_76 (_let_57))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_76) :args (tptp.mel QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_76)) :args ((or _let_13 (not _let_57)))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (or (forall ((Knight $$unsorted)) (not (@ tptp.knight Knight))) (forall ((Knave $$unsorted)) (not (@ tptp.knave Knave)))) (or _let_56 _let_57)))))) :args ((or _let_57 _let_56))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_75) :args (tptp.zoey QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_75)) _let_74 _let_72 (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_15 _let_51 (not _let_52)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_70 :args (tptp.zoey QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_3 k_4 P) false))))) :args _let_71) (CONG (REFL :args _let_71) (CONG (REFL :args (_let_15)) (CONG (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= true BOOLEAN_TERM_VARIABLE_1236))) :args _let_11) :args _let_31) :args _let_30) :args _let_29))) _let_70 :args (_let_52 false _let_69)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_66)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_60 _let_68 _let_63) (SCOPE (TRUE_ELIM (TRANS (CONG _let_59 (TRANS _let_62 (SYMM (TRUE_INTRO _let_68))) :args _let_11) _let_67)) :args (_let_49 BOOLEAN_TERM_VARIABLE_854 BOOLEAN_TERM_VARIABLE_1236))) :args (BOOLEAN_TERM_VARIABLE_854 _let_49 BOOLEAN_TERM_VARIABLE_1236))) :args (true _let_66)) :args ((or _let_65 _let_64 (not BOOLEAN_TERM_VARIABLE_1236) _let_50))) _let_63 _let_60 (EQUIV_ELIM1 _let_58) :args (_let_13 false _let_57 true _let_56 false _let_53 false _let_55 true _let_14 false _let_52 false _let_50 false BOOLEAN_TERM_VARIABLE_1236 false _let_49 false BOOLEAN_TERM_VARIABLE_854)))) (let ((_let_78 (not _let_36))) (let ((_let_79 (not BOOLEAN_TERM_VARIABLE_863))) (let ((_let_80 (not _let_16))) (let ((_let_81 (ho_7 _let_48 BOOLEAN_TERM_VARIABLE_1181))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_54 _let_82))) (let ((_let_84 (not BOOLEAN_TERM_VARIABLE_1181))) (let ((_let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_84) BOOLEAN_TERM_VARIABLE_1181))))) (let ((_let_86 (and _let_49 _let_64 _let_84))) (let ((_let_87 (_let_49 _let_64 _let_84))) (let ((_let_88 (ASSUME :args (_let_64)))) (let ((_let_89 (not _let_9))) (let ((_let_90 (ASSUME :args (_let_23)))) (let ((_let_91 (ASSUME :args (_let_79)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_90 _let_22 _let_91 _let_19) :args (_let_9 _let_79 _let_23 _let_84)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_19)) (CONG _let_18 (TRANS (FALSE_INTRO _let_91) _let_32) :args _let_11) (FALSE_INTRO _let_90))) :args (_let_23 _let_84 _let_79 _let_9)) :args ((not (and _let_9 _let_79 _let_23 _let_84)) SB_LITERAL))) (CONG (REFL :args (_let_89)) (MACRO_SR_PRED_INTRO :args ((= (not _let_79) BOOLEAN_TERM_VARIABLE_863))) (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_10))) _let_85 :args _let_30)) :args ((or BOOLEAN_TERM_VARIABLE_863 _let_89 BOOLEAN_TERM_VARIABLE_1181 _let_10))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 _let_17) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_16 0)) :args ((or _let_15 _let_80))) (MACRO_RESOLUTION_TRUST _let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_54 _let_82 (not _let_83)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_86)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_60 _let_88 _let_22) (SCOPE (TRUE_ELIM (TRANS (CONG _let_59 (TRANS _let_21 (SYMM (FALSE_INTRO _let_88))) :args _let_11) _let_67)) :args _let_87)) :args _let_87)) :args (true _let_86)) (CONG (REFL :args (_let_65)) (MACRO_SR_PRED_INTRO :args ((= (not _let_64) BOOLEAN_TERM_VARIABLE_854))) _let_85 (REFL :args (_let_81)) :args _let_30)) :args ((or BOOLEAN_TERM_VARIABLE_854 _let_65 BOOLEAN_TERM_VARIABLE_1181 _let_81))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 _let_58) _let_77 :args (_let_64 true _let_12)) _let_60 _let_22 :args (_let_81 true BOOLEAN_TERM_VARIABLE_854 false _let_49 true BOOLEAN_TERM_VARIABLE_1181)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_28 :args (tptp.zoey QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_33) (CONG _let_34 (CONG (REFL :args (_let_54)) (CONG (CONG _let_59 _let_32 :args _let_11) :args _let_31) :args _let_30) :args _let_29))) _let_28 :args (_let_83 false _let_27)) :args (_let_54 false _let_81 false _let_83)) _let_72 :args (_let_14 true _let_53 false _let_55)) :args (_let_80 false _let_14)) :args (_let_79 true _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_23 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_36)) (CONG (REFL :args (_let_78)) (REFL :args (_let_12)) (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_30)) :args ((or _let_12 _let_24 _let_78))) _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.mel QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_46))) _let_45 :args (_let_36 false _let_37)) :args (_let_24 true _let_12 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_28 :args (tptp.mel QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_33) (CONG _let_34 (CONG (REFL :args (_let_25)) (CONG (CONG _let_18 _let_32 :args _let_11) :args _let_31) :args _let_30) :args _let_29))) _let_28 :args (_let_26 false _let_27)) :args (_let_23 false _let_24 false _let_26)) _let_22 _let_19 :args (false true BOOLEAN_TERM_VARIABLE_863 true _let_10 true BOOLEAN_TERM_VARIABLE_1181 false _let_9)) :args (_let_7 _let_6 _let_5 _let_4 _let_3 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.16/0.44 )
% 0.16/0.44 % SZS output end Proof for PUZ081^3
% 0.16/0.44 % cvc5---1.0.5 exiting
% 0.16/0.44 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------