TSTP Solution File: SET144^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET144^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 14:37:55 EDT 2023
% Result : Theorem 2.98s 3.16s
% Output : Proof 2.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET144^5 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15 % Command : do_cvc5 %s %d
% 0.16/0.36 % Computer : n011.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sat Aug 26 12:47:54 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.22/0.50 %----Proving TH0
% 2.98/3.16 %------------------------------------------------------------------------------
% 2.98/3.16 % File : SET144^5 : TPTP v8.1.2. Released v4.0.0.
% 2.98/3.16 % Domain : Set Theory
% 2.98/3.16 % Problem : TPS problem BOOL-PROP-44
% 2.98/3.16 % Version : Especial.
% 2.98/3.16 % English : Trybulec's 44th Boolean property of sets
% 2.98/3.16
% 2.98/3.16 % Refs : [TS89] Trybulec & Swieczkowska (1989), Boolean Properties of
% 2.98/3.16 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 2.98/3.16 % Source : [Bro09]
% 2.98/3.16 % Names : tps_0253 [Bro09]
% 2.98/3.16 % : BOOL-PROP-44 [TPS]
% 2.98/3.16
% 2.98/3.16 % Status : Theorem
% 2.98/3.16 % Rating : 0.15 v8.1.0, 0.09 v7.5.0, 0.00 v7.4.0, 0.11 v7.2.0, 0.00 v7.1.0, 0.12 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.00 v6.1.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0, 0.40 v5.2.0, 0.20 v4.1.0, 0.00 v4.0.1, 0.33 v4.0.0
% 2.98/3.16 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 2.98/3.16 % Number of atoms : 1 ( 1 equ; 0 cnn)
% 2.98/3.16 % Maximal formula atoms : 1 ( 1 avg)
% 2.98/3.16 % Number of connectives : 14 ( 0 ~; 2 |; 2 &; 8 @)
% 2.98/3.16 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 2.98/3.16 % Maximal formula depth : 8 ( 8 avg)
% 2.98/3.16 % Number of types : 2 ( 1 usr)
% 2.98/3.16 % Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% 2.98/3.16 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 2.98/3.16 % Number of variables : 6 ( 2 ^; 4 !; 0 ?; 6 :)
% 2.98/3.16 % SPC : TH0_THM_EQU_NAR
% 2.98/3.16
% 2.98/3.16 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 2.98/3.16 % project in the Department of Mathematical Sciences at Carnegie
% 2.98/3.16 % Mellon University. Distributed under the Creative Commons copyleft
% 2.98/3.16 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 2.98/3.16 % : Polymorphic definitions expanded.
% 2.98/3.16 % :
% 2.98/3.16 %------------------------------------------------------------------------------
% 2.98/3.16 thf(a_type,type,
% 2.98/3.16 a: $tType ).
% 2.98/3.16
% 2.98/3.16 thf(cBOOL_PROP_44_pme,conjecture,
% 2.98/3.16 ! [X: a > $o,Y: a > $o,Z: a > $o] :
% 2.98/3.16 ( ! [Xx: a] :
% 2.98/3.16 ( ( X @ Xx )
% 2.98/3.16 => ( Z @ Xx ) )
% 2.98/3.16 => ( ( ^ [Xz: a] :
% 2.98/3.16 ( ( X @ Xz )
% 2.98/3.16 | ( ( Y @ Xz )
% 2.98/3.16 & ( Z @ Xz ) ) ) )
% 2.98/3.16 = ( ^ [Xx: a] :
% 2.98/3.16 ( ( ( X @ Xx )
% 2.98/3.16 | ( Y @ Xx ) )
% 2.98/3.16 & ( Z @ Xx ) ) ) ) ) ).
% 2.98/3.16
% 2.98/3.16 %------------------------------------------------------------------------------
% 2.98/3.16 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.02RaUn6lva/cvc5---1.0.5_3880.p...
% 2.98/3.16 (declare-sort $$unsorted 0)
% 2.98/3.16 (declare-sort tptp.a 0)
% 2.98/3.16 (assert (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool))) (=> (forall ((Xx tptp.a)) (=> (@ X Xx) (@ Z Xx))) (= (lambda ((Xz tptp.a)) (or (@ X Xz) (and (@ Y Xz) (@ Z Xz)))) (lambda ((Xx tptp.a)) (and (or (@ X Xx) (@ Y Xx)) (@ Z Xx))))))))
% 2.98/3.16 (set-info :filename cvc5---1.0.5_3880)
% 2.98/3.16 (check-sat-assuming ( true ))
% 2.98/3.16 ------- get file name : TPTP file name is SET144^5
% 2.98/3.16 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3880.smt2...
% 2.98/3.16 --- Run --ho-elim --full-saturate-quant at 10...
% 2.98/3.16 % SZS status Theorem for SET144^5
% 2.98/3.16 % SZS output start Proof for SET144^5
% 2.98/3.16 (
% 2.98/3.16 (let ((_let_1 (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool))) (=> (forall ((Xx tptp.a)) (=> (@ X Xx) (@ Z Xx))) (= (lambda ((Xz tptp.a)) (or (@ X Xz) (and (@ Y Xz) (@ Z Xz)))) (lambda ((Xx tptp.a)) (and (or (@ X Xx) (@ Y Xx)) (@ Z Xx))))))))) (let ((_let_2 (forall ((Xx tptp.a)) (or (not (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 Xx)) (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 Xx))))) (let ((_let_3 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3296))) (let ((_let_4 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3296))) (let ((_let_5 (not _let_4))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (ho_8 (ho_7 (ho_6 k_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_8 (ho_8 (ho_7 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_9 (= _let_8 _let_7))) (let ((_let_10 (not _let_2))) (let ((_let_11 (or _let_10 _let_9))) (let ((_let_12 (forall ((BOUND_VARIABLE_744 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_743 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_742 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xx tptp.a)) (or (not (ho_4 BOUND_VARIABLE_744 Xx)) (ho_4 BOUND_VARIABLE_742 Xx)))) (= (ho_8 (ho_7 (ho_6 k_5 BOUND_VARIABLE_744) BOUND_VARIABLE_743) BOUND_VARIABLE_742) (ho_8 (ho_7 (ho_6 k_9 BOUND_VARIABLE_744) BOUND_VARIABLE_743) BOUND_VARIABLE_742)))))) (let ((_let_13 (not _let_11))) (let ((_let_14 (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_15 (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_16 (forall ((u |u_(-> _u_(-> tptp.a Bool)_ tptp.a Bool)|) (e |u_(-> tptp.a Bool)|) (i |u_(-> tptp.a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.a Bool)_ tptp.a Bool)|)) (not (forall ((ii |u_(-> tptp.a Bool)|)) (= (ho_8 v ii) (ite (= i ii) e (ho_8 u ii)))))))))) (let ((_let_17 (forall ((x |u_(-> _u_(-> tptp.a Bool)_ tptp.a Bool)|) (y |u_(-> _u_(-> tptp.a Bool)_ tptp.a Bool)|)) (or (not (forall ((z |u_(-> tptp.a Bool)|)) (= (ho_8 x z) (ho_8 y z)))) (= x y))))) (let ((_let_18 (forall ((u |u_(-> _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|) (e |u_(-> _u_(-> tptp.a Bool)_ tptp.a Bool)|) (i |u_(-> tptp.a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|)) (not (forall ((ii |u_(-> tptp.a Bool)|)) (= (ho_7 v ii) (ite (= i ii) e (ho_7 u ii)))))))))) (let ((_let_19 (forall ((x |u_(-> _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|) (y |u_(-> _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|)) (or (not (forall ((z |u_(-> tptp.a Bool)|)) (= (ho_7 x z) (ho_7 y z)))) (= x y))))) (let ((_let_20 (forall ((u |u_(-> _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|) (e |u_(-> _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|) (i |u_(-> tptp.a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|)) (not (forall ((ii |u_(-> tptp.a Bool)|)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii)))))))))) (let ((_let_21 (forall ((x |u_(-> _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|) (y |u_(-> _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|)) (or (not (forall ((z |u_(-> tptp.a Bool)|)) (= (ho_6 x z) (ho_6 y z)))) (= x y))))) (let ((_let_22 (forall ((BOUND_VARIABLE_697 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_696 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_693 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_670 tptp.a)) (= (ho_4 (ho_8 (ho_7 (ho_6 k_5 BOUND_VARIABLE_697) BOUND_VARIABLE_696) BOUND_VARIABLE_693) BOUND_VARIABLE_670) (or (ho_4 BOUND_VARIABLE_697 BOUND_VARIABLE_670) (and (ho_4 BOUND_VARIABLE_696 BOUND_VARIABLE_670) (ho_4 BOUND_VARIABLE_693 BOUND_VARIABLE_670))))))) (let ((_let_23 (forall ((BOUND_VARIABLE_728 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_727 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_726 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_657 tptp.a)) (= (ho_4 (ho_8 (ho_7 (ho_6 k_9 BOUND_VARIABLE_728) BOUND_VARIABLE_727) BOUND_VARIABLE_726) BOUND_VARIABLE_657) (and (or (ho_4 BOUND_VARIABLE_728 BOUND_VARIABLE_657) (ho_4 BOUND_VARIABLE_727 BOUND_VARIABLE_657)) (ho_4 BOUND_VARIABLE_726 BOUND_VARIABLE_657)))))) (let ((_let_24 (not _let_12))) (let ((_let_25 (forall ((BOUND_VARIABLE_667 (-> tptp.a Bool)) (BOUND_VARIABLE_668 (-> tptp.a Bool)) (BOUND_VARIABLE_669 (-> tptp.a Bool)) (BOUND_VARIABLE_670 tptp.a)) (= (or (@ BOUND_VARIABLE_667 BOUND_VARIABLE_670) (and (@ BOUND_VARIABLE_668 BOUND_VARIABLE_670) (@ BOUND_VARIABLE_669 BOUND_VARIABLE_670))) (ll_3 BOUND_VARIABLE_667 BOUND_VARIABLE_668 BOUND_VARIABLE_669 BOUND_VARIABLE_670))))) (let ((_let_26 (forall ((BOUND_VARIABLE_654 (-> tptp.a Bool)) (BOUND_VARIABLE_655 (-> tptp.a Bool)) (BOUND_VARIABLE_656 (-> tptp.a Bool)) (BOUND_VARIABLE_657 tptp.a)) (= (and (or (@ BOUND_VARIABLE_654 BOUND_VARIABLE_657) (@ BOUND_VARIABLE_655 BOUND_VARIABLE_657)) (@ BOUND_VARIABLE_656 BOUND_VARIABLE_657)) (ll_2 BOUND_VARIABLE_654 BOUND_VARIABLE_655 BOUND_VARIABLE_656 BOUND_VARIABLE_657))))) (let ((_let_27 (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool))) (or (not (forall ((Xx tptp.a)) (or (not (@ X Xx)) (@ Z Xx)))) (= (@ (@ (@ ll_2 X) Y) Z) (@ (@ (@ ll_3 X) Y) Z))))))) (let ((_let_28 (and _let_27 _let_26 _let_25))) (let ((_let_29 (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 ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool))) (or (not (forall ((Xx tptp.a)) (or (not (@ X Xx)) (@ Z Xx)))) (= (lambda ((Xz tptp.a)) (or (@ X Xz) (and (@ Y Xz) (@ Z Xz)))) (lambda ((Xx tptp.a)) (and (or (@ X Xx) (@ Y Xx)) (@ Z Xx))))))) _let_27))))) (PREPROCESS :args ((and _let_26 _let_25)))) :args (_let_28)) (PREPROCESS :args ((= _let_28 (and _let_24 _let_23 _let_22))))) (PREPROCESS :args ((and _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14)))) :args ((and _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14))))) (let ((_let_30 (or))) (let ((_let_31 (_let_24))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_31)) :args _let_31)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_12))) (REFL :args (_let_13)) :args _let_30)) (AND_ELIM _let_29 :args (0)) :args (_let_13 true _let_12)))) (let ((_let_33 (not _let_6))) (let ((_let_34 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3296))) (let ((_let_35 (and _let_34 _let_3))) (let ((_let_36 (or _let_4 _let_35))) (let ((_let_37 (ho_4 _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3296))) (let ((_let_38 (= _let_37 _let_36))) (let ((_let_39 (_let_22))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_39) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3296 QUANTIFIERS_INST_E_MATCHING ((ho_4 (ho_8 (ho_7 (ho_6 k_5 BOUND_VARIABLE_697) BOUND_VARIABLE_696) BOUND_VARIABLE_693) BOUND_VARIABLE_670)))) :args _let_39)) (AND_ELIM _let_29 :args (2)) :args (_let_38 false _let_22)))) (let ((_let_41 (ho_4 _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3296))) (let ((_let_42 (= _let_41 _let_37))) (let ((_let_43 (forall ((z tptp.a)) (= (ho_4 (ho_8 (ho_7 (ho_6 k_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) z) (ho_4 (ho_8 (ho_7 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) z))))) (let ((_let_44 (not _let_42))) (let ((_let_45 (not _let_43))) (let ((_let_46 (or _let_45 _let_9))) (let ((_let_47 (_let_15))) (let ((_let_48 (_let_45))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_48)) :args _let_48)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_43))) (REFL :args (_let_44)) :args _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_9 _let_45 (not _let_46)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_11 1)) _let_32 :args ((not _let_9) true _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_47) :args (_let_7 _let_8 QUANTIFIERS_INST_ENUM)) :args _let_47))) (AND_ELIM _let_29 :args (9)) :args (_let_46 false _let_15)) :args (_let_45 true _let_9 false _let_46)) :args (_let_44 true _let_43)))) (let ((_let_50 (or _let_4 _let_34))) (let ((_let_51 (and _let_50 _let_3))) (let ((_let_52 (= _let_41 _let_51))) (let ((_let_53 (not _let_41))) (let ((_let_54 (_let_42))) (let ((_let_55 (_let_23))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_55) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3296 QUANTIFIERS_INST_E_MATCHING ((ho_4 (ho_8 (ho_7 (ho_6 k_9 BOUND_VARIABLE_728) BOUND_VARIABLE_727) BOUND_VARIABLE_726) BOUND_VARIABLE_657)))) :args _let_55)) (AND_ELIM _let_29 :args (1)) :args (_let_52 false _let_23)))) (let ((_let_57 (not _let_52))) (let ((_let_58 (_let_52))) (let ((_let_59 (not _let_38))) (let ((_let_60 (not _let_36))) (let ((_let_61 (_let_38))) (let ((_let_62 (not _let_51))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_4 _let_34 (not _let_50)))) (CNF_AND_NEG :args (_let_35)) (CNF_OR_NEG :args (_let_36 1)) (CNF_OR_NEG :args (_let_36 0)) (REORDERING (CNF_AND_POS :args (_let_51 1)) :args ((or _let_3 _let_62))) (REORDERING (CNF_AND_POS :args (_let_51 0)) :args ((or _let_50 _let_62))) (REORDERING (CNF_EQUIV_POS2 :args _let_61) :args ((or _let_37 _let_60 _let_59))) _let_40 (REORDERING (CNF_EQUIV_POS1 :args _let_58) :args ((or _let_53 _let_51 _let_57))) _let_56 (CNF_EQUIV_NEG2 :args _let_54) _let_49 :args (_let_53 true _let_34 true _let_35 true _let_4 false _let_3 false _let_50 true _let_36 false _let_38 false _let_51 false _let_52 true _let_37 true _let_42)))) (let ((_let_64 (not _let_35))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_58) :args ((or _let_41 _let_62 _let_57))) _let_63 _let_56 :args (_let_62 true _let_41 false _let_52)))) (let ((_let_66 (CNF_AND_NEG :args (_let_51)))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_4 _let_35 _let_60))) (MACRO_RESOLUTION_TRUST _let_66 _let_65 (CNF_OR_NEG :args (_let_50 1)) (REORDERING (CNF_AND_POS :args (_let_35 1)) :args ((or _let_3 _let_64))) (REORDERING (CNF_AND_POS :args (_let_35 0)) :args ((or _let_34 _let_64))) :args (_let_64 true _let_51 false _let_50 false _let_3 false _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_61) :args ((or (not _let_37) _let_36 _let_59))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_54) :args ((or _let_41 _let_37 _let_42))) _let_63 _let_49 :args (_let_37 true _let_41 true _let_42)) _let_40 :args (_let_36 false _let_37 false _let_38)) :args (_let_4 true _let_35 false _let_36)))) (let ((_let_68 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_68) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3296 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_6)) :args ((or _let_3 _let_5 _let_33))) (MACRO_RESOLUTION_TRUST _let_66 _let_65 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_50 0)) _let_67 :args (_let_50 false _let_4)) :args ((not _let_3) true _let_51 false _let_50)) _let_67 :args (_let_33 true _let_3 false _let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_11 0)) (CONG (REFL :args (_let_11)) (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_2))) :args _let_30)) :args ((or _let_2 _let_11))) _let_32 :args (_let_2 true _let_11)) :args (false true _let_6 false _let_2)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.98/3.17 )
% 2.98/3.17 % SZS output end Proof for SET144^5
% 2.98/3.17 % cvc5---1.0.5 exiting
% 2.98/3.17 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------