TSTP Solution File: SYN036^5 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN036^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 : Fri Sep 1 02:00:56 EDT 2023
% Result : Theorem 0.22s 0.59s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN036^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n022.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 20:35:55 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TH0
% 0.22/0.59 %------------------------------------------------------------------------------
% 0.22/0.59 % File : SYN036^5 : TPTP v8.1.2. Released v4.0.0.
% 0.22/0.59 % Domain : Syntactic
% 0.22/0.59 % Problem : TPS problem X2129
% 0.22/0.59 % Version : Especial.
% 0.22/0.59 % English :
% 0.22/0.59
% 0.22/0.59 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.22/0.59 % Source : [Bro09]
% 0.22/0.59 % Names : tps_0554 [Bro09]
% 0.22/0.59 % : THM57 [TPS]
% 0.22/0.59 % : X2129 [TPS]
% 0.22/0.59
% 0.22/0.59 % Status : Theorem
% 0.22/0.59 % Rating : 0.27 v8.1.0, 0.25 v7.4.0, 0.33 v7.3.0, 0.30 v7.2.0, 0.38 v7.1.0, 0.43 v7.0.0, 0.38 v6.4.0, 0.43 v6.3.0, 0.50 v6.2.0, 0.67 v6.1.0, 0.50 v6.0.0, 0.33 v5.5.0, 0.20 v5.4.0, 0.25 v5.2.0, 0.00 v5.1.0, 0.25 v5.0.0, 0.00 v4.0.1, 0.33 v4.0.0
% 0.22/0.59 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.22/0.59 % Number of atoms : 8 ( 0 equ; 0 cnn)
% 0.22/0.59 % Maximal formula atoms : 8 ( 8 avg)
% 0.22/0.59 % Number of connectives : 15 ( 0 ~; 0 |; 0 &; 8 @)
% 0.22/0.59 % ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% 0.22/0.59 % Maximal formula depth : 7 ( 7 avg)
% 0.22/0.59 % Number of types : 2 ( 0 usr)
% 0.22/0.59 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.22/0.59 % Number of symbols : 2 ( 2 usr; 0 con; 1-1 aty)
% 0.22/0.59 % Number of variables : 8 ( 0 ^; 4 !; 4 ?; 8 :)
% 0.22/0.59 % SPC : TH0_THM_NEQ_NAR
% 0.22/0.59
% 0.22/0.59 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.22/0.59 % project in the Department of Mathematical Sciences at Carnegie
% 0.22/0.59 % Mellon University. Distributed under the Creative Commons copyleft
% 0.22/0.59 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.22/0.59 % : This was an early Challenge Problem given by Peter Andrews in
% 0.22/0.59 % 1979 or 1980.
% 0.22/0.59 % :
% 0.22/0.59 %------------------------------------------------------------------------------
% 0.22/0.59 thf(cQ,type,
% 0.22/0.59 cQ: $i > $o ).
% 0.22/0.59
% 0.22/0.59 thf(cP,type,
% 0.22/0.59 cP: $i > $o ).
% 0.22/0.59
% 0.22/0.59 thf(cX2129,conjecture,
% 0.22/0.59 ( ( ? [Xx: $i] :
% 0.22/0.59 ! [Xy: $i] :
% 0.22/0.59 ( ( cP @ Xx )
% 0.22/0.59 <=> ( cP @ Xy ) )
% 0.22/0.59 <=> ( ? [Xx: $i] : ( cQ @ Xx )
% 0.22/0.59 <=> ! [Xy: $i] : ( cP @ Xy ) ) )
% 0.22/0.59 <=> ( ? [Xx: $i] :
% 0.22/0.59 ! [Xy: $i] :
% 0.22/0.59 ( ( cQ @ Xx )
% 0.22/0.59 <=> ( cQ @ Xy ) )
% 0.22/0.59 <=> ( ? [Xx: $i] : ( cP @ Xx )
% 0.22/0.59 <=> ! [Xy: $i] : ( cQ @ Xy ) ) ) ) ).
% 0.22/0.59
% 0.22/0.59 %------------------------------------------------------------------------------
% 0.22/0.59 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.fPNXOTmh44/cvc5---1.0.5_28380.p...
% 0.22/0.59 (declare-sort $$unsorted 0)
% 0.22/0.59 (declare-fun tptp.cQ ($$unsorted) Bool)
% 0.22/0.59 (declare-fun tptp.cP ($$unsorted) Bool)
% 0.22/0.59 (assert (not (= (= (exists ((Xx $$unsorted)) (forall ((Xy $$unsorted)) (= (@ tptp.cP Xx) (@ tptp.cP Xy)))) (= (exists ((Xx $$unsorted)) (@ tptp.cQ Xx)) (forall ((Xy $$unsorted)) (@ tptp.cP Xy)))) (= (exists ((Xx $$unsorted)) (forall ((Xy $$unsorted)) (= (@ tptp.cQ Xx) (@ tptp.cQ Xy)))) (= (exists ((Xx $$unsorted)) (@ tptp.cP Xx)) (forall ((Xy $$unsorted)) (@ tptp.cQ Xy)))))))
% 0.22/0.59 (set-info :filename cvc5---1.0.5_28380)
% 0.22/0.59 (check-sat-assuming ( true ))
% 0.22/0.59 ------- get file name : TPTP file name is SYN036^5
% 0.22/0.59 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_28380.smt2...
% 0.22/0.59 --- Run --ho-elim --full-saturate-quant at 10...
% 0.22/0.59 % SZS status Theorem for SYN036^5
% 0.22/0.59 % SZS output start Proof for SYN036^5
% 0.22/0.59 (
% 0.22/0.59 (let ((_let_1 (forall ((Xy $$unsorted)) (@ tptp.cQ Xy)))) (let ((_let_2 (forall ((Xy $$unsorted)) (@ tptp.cP Xy)))) (let ((_let_3 (not (= (= (exists ((Xx $$unsorted)) (forall ((Xy $$unsorted)) (= (@ tptp.cP Xx) (@ tptp.cP Xy)))) (= (exists ((Xx $$unsorted)) (@ tptp.cQ Xx)) _let_2)) (= (exists ((Xx $$unsorted)) (forall ((Xy $$unsorted)) (= (@ tptp.cQ Xx) (@ tptp.cQ Xy)))) (= (exists ((Xx $$unsorted)) (@ tptp.cP Xx)) _let_1)))))) (let ((_let_4 (forall ((Xy $$unsorted)) (ho_3 k_4 Xy)))) (let ((_let_5 (forall ((Xx $$unsorted)) (not (ho_3 k_2 Xx))))) (let ((_let_6 (not _let_5))) (let ((_let_7 (= _let_6 _let_4))) (let ((_let_8 (forall ((Xx $$unsorted)) (not (forall ((Xy $$unsorted)) (= (ho_3 k_4 Xy) (ho_3 k_4 Xx))))))) (let ((_let_9 (not _let_8))) (let ((_let_10 (= _let_7 _let_9))) (let ((_let_11 (not _let_7))) (let ((_let_12 (ho_3 k_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_13 (forall ((Xy $$unsorted)) (= (ho_3 k_4 Xy) (ho_3 k_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_14 (ho_3 k_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_15 (ho_3 k_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_16 (= _let_15 _let_14))) (let ((_let_17 (forall ((Xx $$unsorted)) (not (forall ((Xy $$unsorted)) (= (ho_3 k_2 Xy) (ho_3 k_2 Xx))))))) (let ((_let_18 (not _let_17))) (let ((_let_19 (forall ((Xy $$unsorted)) (ho_3 k_2 Xy)))) (let ((_let_20 (forall ((Xx $$unsorted)) (not (ho_3 k_4 Xx))))) (let ((_let_21 (not _let_20))) (let ((_let_22 (= _let_21 _let_19))) (let ((_let_23 (= _let_22 _let_18))) (let ((_let_24 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_25 (ho_3 k_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_26 (= _let_15 _let_25))) (let ((_let_27 (= _let_15 _let_12))) (let ((_let_28 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_29 (= _let_24 _let_28))) (let ((_let_30 (forall ((Xy $$unsorted)) (= (ho_3 k_2 Xy) (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_31 (or))) (let ((_let_32 (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))))) (let ((_let_33 (not _let_24))) (let ((_let_34 (_let_6))) (let ((_let_35 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_34)) :args _let_34) (REWRITE :args ((=> _let_6 (not _let_33)))))) (CONG _let_32 (REFL :args (_let_24)) :args _let_31)))) (let ((_let_36 (ho_3 k_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_37 (not _let_4))) (let ((_let_38 (_let_37))) (let ((_let_39 (_let_7))) (let ((_let_40 (REFL :args _let_39))) (let ((_let_41 (_let_4))) (let ((_let_42 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM))) (let ((_let_43 (ASSUME :args _let_41))) (let ((_let_44 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args _let_42) :args _let_41)))) (let ((_let_45 (_let_20))) (let ((_let_46 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_47 (ASSUME :args _let_45))) (let ((_let_48 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_46) :args _let_45)))) (let ((_let_49 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_50 (forall ((Xy $$unsorted)) (= (ho_3 k_2 Xy) (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))))) (let ((_let_51 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_52 (= _let_24 _let_51))) (let ((_let_53 (= _let_49 _let_51))) (let ((_let_54 (not _let_19))) (let ((_let_55 (_let_54))) (let ((_let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))))) (let ((_let_57 (_let_22))) (let ((_let_58 (REFL :args _let_57))) (let ((_let_59 (not _let_22))) (let ((_let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))))) (let ((_let_61 (REFL :args (_let_59)))) (let ((_let_62 (_let_23))) (let ((_let_63 (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_62) (CONG (REFL :args _let_62) _let_61 _let_60 :args _let_31)) :args ((or _let_17 _let_23 _let_59))))) (let ((_let_64 (_let_17))) (let ((_let_65 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_64) :args _let_42) :args _let_64)))) (let ((_let_66 (not _let_30))) (let ((_let_67 (_let_66))) (let ((_let_68 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_67)) :args _let_67) (REWRITE :args ((=> _let_66 (not (= _let_28 _let_24))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_30))) (REFL :args ((not _let_29))) :args _let_31)))) (let ((_let_69 (not _let_28))) (let ((_let_70 (_let_29))) (let ((_let_71 (REORDERING (CNF_EQUIV_NEG2 :args _let_70) :args ((or _let_33 _let_29 _let_69))))) (let ((_let_72 (_let_19))) (let ((_let_73 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_74 (ASSUME :args _let_72))) (let ((_let_75 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args _let_73) :args _let_72)))) (let ((_let_76 (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS1 :args _let_57) (CONG _let_61 _let_56 (REFL :args _let_72) :args _let_31)) :args ((or _let_20 _let_19 _let_59))))) (let ((_let_77 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_55)) :args _let_55)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_19))) (REFL :args ((not _let_49))) :args _let_31)))) (let ((_let_78 (_let_50))) (let ((_let_79 (_let_18))) (let ((_let_80 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_79)) :args _let_79) (REWRITE :args ((=> _let_18 (not (not _let_50))))))) (CONG _let_60 (REFL :args _let_78) :args _let_31)))) (let ((_let_81 ((not (= (ho_3 k_2 Xy) _let_51))))) (let ((_let_82 (ASSUME :args _let_78))) (let ((_let_83 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_78)))) (let ((_let_84 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_78)))) (let ((_let_85 (REORDERING (CNF_EQUIV_POS1 :args (_let_52)) :args ((or _let_33 _let_51 (not _let_52)))))) (let ((_let_86 (REORDERING (CNF_EQUIV_POS2 :args (_let_53)) :args ((or _let_49 (not _let_51) (not _let_53)))))) (let ((_let_87 (MACRO_RESOLUTION_TRUST _let_86 _let_85 _let_84 _let_83 _let_80 (REORDERING (CNF_EQUIV_NEG1 :args _let_62) :args ((or _let_22 _let_18 _let_23))) _let_77 _let_76 (MACRO_RESOLUTION_TRUST _let_75 _let_71 _let_68 _let_65 _let_63 (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_57) (CONG _let_58 _let_56 (REFL :args _let_55) :args _let_31)) :args ((or _let_20 _let_22 _let_54))) :args ((or _let_20 _let_23 _let_54 _let_33) true _let_28 true _let_29 true _let_30 false _let_17 false _let_22)) :args ((or _let_20 _let_23 _let_33) false _let_51 false _let_53 false _let_52 false _let_50 true _let_17 true _let_49 true _let_22 true _let_19)))) (let ((_let_88 (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_89 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_90 (not (= _let_10 _let_23)))) (let ((_let_91 (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (= (= (not (forall ((Xx $$unsorted)) (not (forall ((Xy $$unsorted)) (= (@ tptp.cP Xx) (@ tptp.cP Xy)))))) (= _let_2 (not (forall ((Xx $$unsorted)) (not (@ tptp.cQ Xx)))))) (= (not (forall ((Xx $$unsorted)) (not (forall ((Xy $$unsorted)) (= (@ tptp.cQ Xx) (@ tptp.cQ Xy)))))) (= _let_1 (not (forall ((Xx $$unsorted)) (not (@ tptp.cP Xx)))))))) _let_90))))) (PREPROCESS :args ((and _let_89 _let_88)))) :args ((and _let_90 _let_89 _let_88))) :args (0)))) (let ((_let_92 (NOT_EQUIV_ELIM2 _let_91))) (let ((_let_93 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))))) (let ((_let_94 (REFL :args (_let_11)))) (let ((_let_95 (_let_10))) (let ((_let_96 (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_95) (CONG (REFL :args _let_95) _let_94 _let_93 :args _let_31)) :args ((or _let_8 _let_10 _let_11))))) (let ((_let_97 (_let_8))) (let ((_let_98 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_ENUM))) (let ((_let_99 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_97) :args _let_98) :args _let_97)))) (let ((_let_100 (not _let_13))) (let ((_let_101 (not _let_100))) (let ((_let_102 (_let_100))) (let ((_let_103 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_102)) :args _let_102) (REWRITE :args ((=> _let_100 (not (= _let_14 _let_15))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= _let_101 _let_13))) (REFL :args ((not _let_16))) :args _let_31)))) (let ((_let_104 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_105 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args _let_104) :args _let_41)))) (let ((_let_106 (not _let_15))) (let ((_let_107 (_let_16))) (let ((_let_108 (REORDERING (CNF_EQUIV_NEG2 :args _let_107) :args ((or _let_106 _let_16 (not _let_14)))))) (let ((_let_109 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_110 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args _let_109) :args _let_41)))) (let ((_let_111 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_38)) :args _let_38)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_4))) (REFL :args ((not _let_12))) :args _let_31)))) (let ((_let_112 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_109) :args _let_45)))) (let ((_let_113 (REORDERING (CNF_EQUIV_NEG1 :args _let_107) :args ((or _let_15 _let_14 _let_16))))) (let ((_let_114 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_104) :args _let_45)))) (let ((_let_115 (not _let_10))) (let ((_let_116 (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_95) (CONG (REFL :args (_let_115)) _let_40 _let_93 :args _let_31)) :args ((or _let_7 _let_8 _let_115))))) (let ((_let_117 (_let_13))) (let ((_let_118 (_let_9))) (let ((_let_119 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_118)) :args _let_118) (REWRITE :args ((=> _let_9 _let_101))))) (CONG _let_93 (REFL :args _let_117) :args _let_31)))) (let ((_let_120 (NOT_EQUIV_ELIM1 _let_91))) (let ((_let_121 (ASSUME :args _let_117))) (let ((_let_122 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_121 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_3 k_4 Xy) _let_15))))) :args _let_117))))) (let ((_let_123 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_121 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_117))))) (let ((_let_124 (REORDERING (CNF_EQUIV_POS1 :args (_let_27)) :args ((or _let_106 _let_12 (not _let_27)))))) (let ((_let_125 (not _let_25))) (let ((_let_126 (REORDERING (CNF_EQUIV_POS2 :args (_let_26)) :args ((or _let_15 _let_125 (not _let_26)))))) (let ((_let_127 (_let_21))) (let ((_let_128 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_127)) :args _let_127) (REWRITE :args ((=> _let_21 (not _let_125)))))) (CONG _let_56 (REFL :args (_let_25)) :args _let_31)))) (let ((_let_129 (not _let_23))) (let ((_let_130 (REORDERING (CNF_EQUIV_NEG1 :args _let_57) :args ((or _let_21 _let_19 _let_22))))) (let ((_let_131 (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_62) (CONG (REFL :args (_let_129)) _let_58 _let_60 :args _let_31)) :args ((or _let_22 _let_17 _let_129))))) (let ((_let_132 (MACRO_RESOLUTION_TRUST _let_68 _let_65 _let_71 _let_131 _let_75 (REORDERING (CNF_EQUIV_POS2 :args _let_57) :args ((or _let_21 _let_54 _let_59))) (MACRO_RESOLUTION_TRUST _let_86 _let_85 _let_84 _let_83 _let_80 (REORDERING (CNF_EQUIV_POS1 :args _let_62) :args ((or _let_18 _let_59 _let_129))) _let_130 _let_77 :args ((or _let_21 _let_19 _let_129 _let_33) false _let_51 false _let_53 false _let_52 false _let_50 true _let_17 false _let_22 true _let_49)) _let_128 _let_126 _let_124 _let_123 _let_122 _let_120 _let_119 _let_116 (MACRO_RESOLUTION_TRUST _let_114 _let_113 _let_112 _let_87 _let_103 _let_92 _let_99 (REORDERING (CNF_EQUIV_NEG1 :args _let_95) :args ((or _let_7 _let_9 _let_10))) :args ((or _let_7 _let_9 _let_33) false _let_14 true _let_15 false _let_20 true _let_16 true _let_23 true _let_13 false _let_10)) _let_111 (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS1 :args _let_39) (CONG _let_94 _let_32 (REFL :args _let_41) :args _let_31)) :args ((or _let_5 _let_4 _let_11))) (MACRO_RESOLUTION_TRUST _let_110 _let_108 _let_105 _let_103 _let_99 _let_96 _let_92 _let_87 _let_48 _let_44 (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_39) (CONG _let_40 _let_32 (REFL :args _let_38) :args _let_31)) :args ((or _let_5 _let_7 _let_37))) _let_35 :args ((or _let_5 _let_37) true _let_15 false _let_14 true _let_16 true _let_13 false _let_8 true _let_10 false _let_23 true _let_20 false _let_36 false _let_7 false _let_24)) _let_35 :args (_let_5 true _let_30 false _let_29 false _let_17 false _let_28 true _let_22 false _let_19 false _let_20 true _let_25 true _let_15 false _let_27 false _let_26 false _let_23 false _let_13 true _let_10 true _let_8 true _let_12 true _let_7 true _let_4 false _let_24)))) (let ((_let_133 (_let_5))) (let ((_let_134 (ASSUME :args _let_133))) (let ((_let_135 (MACRO_RESOLUTION_TRUST _let_65 (MACRO_RESOLUTION_TRUST _let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_70) :args ((or _let_24 _let_28 _let_29))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args _let_46) :args _let_133)) _let_132 :args (_let_33 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args _let_73) :args _let_133)) _let_132 :args (_let_69 false _let_5)) :args (_let_29 true _let_24 true _let_28)) :args (_let_30 false _let_29)) :args (_let_18 false _let_30)))) (let ((_let_136 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args _let_98) :args _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args _let_109) :args _let_133)) _let_132 :args ((not _let_136) false _let_5)) :args (_let_54 true _let_136)))) (let ((_let_138 (MACRO_RESOLUTION_TRUST _let_113 _let_114 _let_112 _let_76 _let_137 _let_131 _let_135 _let_120 _let_103 (REORDERING (CNF_EQUIV_POS1 :args _let_95) :args ((or _let_9 _let_11 _let_115))) _let_99 (MACRO_RESOLUTION_TRUST _let_128 _let_130 _let_137 _let_126 _let_63 _let_135 _let_124 _let_92 _let_123 _let_122 _let_96 _let_119 :args ((or _let_8 _let_11 _let_12) true _let_20 true _let_19 true _let_25 true _let_22 true _let_17 true _let_15 true _let_23 false _let_27 false _let_26 false _let_10 false _let_13)) _let_111 (REORDERING (CNF_EQUIV_NEG1 :args _let_39) :args ((or _let_6 _let_4 _let_7))) _let_132 :args (_let_4 true _let_14 true _let_15 false _let_20 true _let_19 false _let_22 true _let_17 false _let_23 true _let_16 true _let_10 true _let_13 false _let_8 true _let_12 false _let_7 false _let_5)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_116 (MACRO_RESOLUTION_TRUST _let_120 (MACRO_RESOLUTION_TRUST _let_131 (MACRO_RESOLUTION_TRUST _let_76 (MACRO_RESOLUTION_TRUST _let_48 (MACRO_RESOLUTION_TRUST _let_44 _let_138 :args (_let_36 false _let_4)) :args (_let_21 false _let_36)) _let_137 :args (_let_59 true _let_20 true _let_19)) _let_135 :args (_let_129 true _let_22 true _let_17)) :args (_let_10 true _let_23)) (MACRO_RESOLUTION_TRUST _let_99 (MACRO_RESOLUTION_TRUST _let_103 (MACRO_RESOLUTION_TRUST _let_108 (MACRO_RESOLUTION_TRUST _let_110 _let_138 :args (_let_15 false _let_4)) (MACRO_RESOLUTION_TRUST _let_105 _let_138 :args (_let_14 false _let_4)) :args (_let_16 false _let_15 false _let_14)) :args (_let_13 false _let_16)) :args (_let_9 false _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_39) :args ((or _let_6 _let_37 _let_11))) _let_132 _let_138 :args (_let_11 false _let_5 false _let_4)) :args (false false _let_10 true _let_8 true _let_7)) :args (_let_3 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.59 )
% 0.22/0.59 % SZS output end Proof for SYN036^5
% 0.22/0.59 % cvc5---1.0.5 exiting
% 0.22/0.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------