TSTP Solution File: ALG284^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ALG284^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 : Wed Aug 30 16:09:11 EDT 2023
% Result : Theorem 60.94s 61.40s
% Output : Proof 60.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG284^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 04:44:40 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.47 %----Proving TH0
% 60.94/61.40 %------------------------------------------------------------------------------
% 60.94/61.40 % File : ALG284^5 : TPTP v8.1.2. Released v4.0.0.
% 60.94/61.40 % Domain : General Algebra
% 60.94/61.40 % Problem : TPS problem from GRP-THMS
% 60.94/61.40 % Version : Especial.
% 60.94/61.40 % English :
% 60.94/61.40
% 60.94/61.40 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 60.94/61.40 % Source : [Bro09]
% 60.94/61.40 % Names : tps_0930 [Bro09]
% 60.94/61.40
% 60.94/61.40 % Status : Theorem
% 60.94/61.40 % Rating : 0.23 v8.1.0, 0.18 v7.5.0, 0.14 v7.4.0, 0.22 v7.2.0, 0.12 v7.1.0, 0.38 v7.0.0, 0.43 v6.4.0, 0.50 v6.3.0, 0.60 v6.2.0, 0.43 v5.5.0, 0.50 v5.4.0, 0.60 v5.1.0, 0.80 v5.0.0, 0.60 v4.1.0, 0.33 v4.0.0
% 60.94/61.40 % Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% 60.94/61.40 % Number of atoms : 4 ( 4 equ; 0 cnn)
% 60.94/61.40 % Maximal formula atoms : 4 ( 4 avg)
% 60.94/61.40 % Number of connectives : 23 ( 0 ~; 0 |; 2 &; 20 @)
% 60.94/61.40 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 60.94/61.40 % Maximal formula depth : 6 ( 6 avg)
% 60.94/61.40 % Number of types : 1 ( 0 usr)
% 60.94/61.40 % Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% 60.94/61.40 % Number of symbols : 4 ( 3 usr; 1 con; 0-2 aty)
% 60.94/61.40 % Number of variables : 7 ( 0 ^; 7 !; 0 ?; 7 :)
% 60.94/61.40 % SPC : TH0_THM_EQU_NAR
% 60.94/61.40
% 60.94/61.40 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 60.94/61.40 % project in the Department of Mathematical Sciences at Carnegie
% 60.94/61.40 % Mellon University. Distributed under the Creative Commons copyleft
% 60.94/61.40 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 60.94/61.40 %------------------------------------------------------------------------------
% 60.94/61.40 thf(cJ,type,
% 60.94/61.40 cJ: $i > $i ).
% 60.94/61.40
% 60.94/61.40 thf(cP,type,
% 60.94/61.40 cP: $i > $i > $i ).
% 60.94/61.40
% 60.94/61.40 thf(cE,type,
% 60.94/61.40 cE: $i ).
% 60.94/61.40
% 60.94/61.40 thf(cTHM18_pme,conjecture,
% 60.94/61.40 ( ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 60.94/61.40 ( ( cP @ ( cP @ Xx @ Xy ) @ Xz )
% 60.94/61.40 = ( cP @ Xx @ ( cP @ Xy @ Xz ) ) )
% 60.94/61.40 & ! [Xx: $i] :
% 60.94/61.40 ( ( cP @ cE @ Xx )
% 60.94/61.40 = Xx )
% 60.94/61.40 & ! [Xy: $i] :
% 60.94/61.40 ( ( cP @ ( cJ @ Xy ) @ Xy )
% 60.94/61.40 = cE ) )
% 60.94/61.40 => ! [X: $i,Y: $i] :
% 60.94/61.40 ( ( cJ @ ( cP @ X @ Y ) )
% 60.94/61.40 = ( cP @ ( cJ @ Y ) @ ( cJ @ X ) ) ) ) ).
% 60.94/61.40
% 60.94/61.40 %------------------------------------------------------------------------------
% 60.94/61.40 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ZK3USxNnoZ/cvc5---1.0.5_8077.p...
% 60.94/61.40 (declare-sort $$unsorted 0)
% 60.94/61.40 (declare-fun tptp.cJ ($$unsorted) $$unsorted)
% 60.94/61.40 (declare-fun tptp.cP ($$unsorted $$unsorted) $$unsorted)
% 60.94/61.40 (declare-fun tptp.cE () $$unsorted)
% 60.94/61.40 (assert (not (=> (and (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted)) (let ((_let_1 (@ tptp.cP Xx))) (= (@ (@ tptp.cP (@ _let_1 Xy)) Xz) (@ _let_1 (@ (@ tptp.cP Xy) Xz))))) (forall ((Xx $$unsorted)) (= (@ (@ tptp.cP tptp.cE) Xx) Xx)) (forall ((Xy $$unsorted)) (= (@ (@ tptp.cP (@ tptp.cJ Xy)) Xy) tptp.cE))) (forall ((X $$unsorted) (Y $$unsorted)) (= (@ tptp.cJ (@ (@ tptp.cP X) Y)) (@ (@ tptp.cP (@ tptp.cJ Y)) (@ tptp.cJ X)))))))
% 60.94/61.40 (set-info :filename cvc5---1.0.5_8077)
% 60.94/61.40 (check-sat-assuming ( true ))
% 60.94/61.40 ------- get file name : TPTP file name is ALG284^5
% 60.94/61.40 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8077.smt2...
% 60.94/61.40 --- Run --ho-elim --full-saturate-quant at 10...
% 60.94/61.40 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 60.94/61.40 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 60.94/61.40 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 60.94/61.40 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 60.94/61.40 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 60.94/61.40 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 10...
% 60.94/61.40 --- Run --ho-elim --full-saturate-quant --enum-inst-interleave at 10...
% 60.94/61.40 % SZS status Theorem for ALG284^5
% 60.94/61.40 % SZS output start Proof for ALG284^5
% 60.94/61.40 (
% 60.94/61.40 (let ((_let_1 (forall ((X $$unsorted) (Y $$unsorted)) (= (@ tptp.cJ (@ (@ tptp.cP X) Y)) (@ (@ tptp.cP (@ tptp.cJ Y)) (@ tptp.cJ X)))))) (let ((_let_2 (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted)) (let ((_let_1 (@ tptp.cP Xx))) (= (@ (@ tptp.cP (@ _let_1 Xy)) Xz) (@ _let_1 (@ (@ tptp.cP Xy) Xz))))))) (let ((_let_3 (not (=> (and _let_2 (forall ((Xx $$unsorted)) (= (@ (@ tptp.cP tptp.cE) Xx) Xx)) (forall ((Xy $$unsorted)) (= (@ (@ tptp.cP (@ tptp.cJ Xy)) Xy) tptp.cE))) _let_1)))) (let ((_let_4 (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted)) (let ((_let_1 (ho_5 k_4 Xx))) (= (ho_3 _let_1 (ho_3 (ho_5 k_4 Xy) Xz)) (ho_3 (ho_5 k_4 (ho_3 _let_1 Xy)) Xz)))))) (let ((_let_5 (ho_5 k_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_6 (ho_3 _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_7 (ho_3 k_2 _let_6))) (let ((_let_8 (ho_3 k_2 _let_7))) (let ((_let_9 (ho_5 k_4 _let_7))) (let ((_let_10 (ho_3 _let_9 _let_8))) (let ((_let_11 (ho_5 k_4 _let_10))) (let ((_let_12 (ho_5 k_4 tptp.cE))) (let ((_let_13 (ho_3 _let_12 _let_7))) (let ((_let_14 (= (ho_3 _let_11 _let_13) (ho_3 (ho_5 k_4 (ho_3 _let_11 tptp.cE)) _let_7)))) (let ((_let_15 (0))) (let ((_let_16 (forall ((u |u_(-> $$unsorted $$unsorted)|) (e $$unsorted) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_17 (forall ((x |u_(-> $$unsorted $$unsorted)|) (y |u_(-> $$unsorted $$unsorted)|)) (or (not (forall ((z $$unsorted)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_18 (forall ((u |u_(-> $$unsorted $$unsorted $$unsorted)|) (e |u_(-> $$unsorted $$unsorted)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_5 v ii) (ite (= i ii) e (ho_5 u ii)))))))))) (let ((_let_19 (forall ((x |u_(-> $$unsorted $$unsorted $$unsorted)|) (y |u_(-> $$unsorted $$unsorted $$unsorted)|)) (or (not (forall ((z $$unsorted)) (= (ho_5 x z) (ho_5 y z)))) (= x y))))) (let ((_let_20 (forall ((X $$unsorted) (Y $$unsorted)) (= (ho_3 (ho_5 k_4 (ho_3 k_2 Y)) (ho_3 k_2 X)) (ho_3 k_2 (ho_3 (ho_5 k_4 X) Y)))))) (let ((_let_21 (forall ((Xy $$unsorted)) (= tptp.cE (ho_3 (ho_5 k_4 (ho_3 k_2 Xy)) Xy))))) (let ((_let_22 (forall ((Xx $$unsorted)) (= Xx (ho_3 (ho_5 k_4 tptp.cE) Xx))))) (let ((_let_23 (not (=> (and _let_4 _let_22 _let_21) _let_20)))) (let ((_let_24 (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (=> (and _let_2 (forall ((Xx $$unsorted)) (= Xx (@ (@ tptp.cP tptp.cE) Xx))) (forall ((Xy $$unsorted)) (= tptp.cE (@ (@ tptp.cP (@ tptp.cJ Xy)) Xy)))) _let_1)) _let_23))))) (PREPROCESS :args ((and _let_19 _let_18 _let_17 _let_16)))) :args ((and _let_23 _let_19 _let_18 _let_17 _let_16))) :args _let_15))) (let ((_let_25 (NOT_IMPLIES_ELIM1 _let_24))) (let ((_let_26 (AND_ELIM _let_25 :args _let_15))) (let ((_let_27 (= _let_7 _let_13))) (let ((_let_28 (ho_3 _let_12 tptp.cE))) (let ((_let_29 (ho_5 k_4 _let_28))) (let ((_let_30 (= (ho_3 _let_12 _let_13) (ho_3 _let_29 _let_7)))) (let ((_let_31 (ho_3 _let_9 _let_6))) (let ((_let_32 (ho_5 k_4 _let_8))) (let ((_let_33 (= (ho_3 _let_9 (ho_3 _let_32 _let_31)) (ho_3 _let_11 _let_31)))) (let ((_let_34 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_35 (ho_3 _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_36 (ho_5 k_4 _let_35))) (let ((_let_37 (ho_3 _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_38 (= (ho_3 _let_36 (ho_3 (ho_5 k_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) _let_34)) (ho_3 (ho_5 k_4 _let_37) _let_34)))) (let ((_let_39 (ho_3 k_2 _let_34))) (let ((_let_40 (ho_5 k_4 _let_39))) (let ((_let_41 (ho_3 _let_40 _let_34))) (let ((_let_42 (ho_5 k_4 _let_34))) (let ((_let_43 (ho_3 _let_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_44 (= (ho_3 _let_40 _let_43) (ho_3 (ho_5 k_4 _let_41) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_45 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_46 (ho_3 k_2 _let_45))) (let ((_let_47 (ho_3 _let_9 _let_46))) (let ((_let_48 (ho_5 k_4 _let_47))) (let ((_let_49 (ho_3 _let_12 _let_45))) (let ((_let_50 (= (ho_3 _let_48 _let_49) (ho_3 (ho_5 k_4 (ho_3 _let_48 tptp.cE)) _let_45)))) (let ((_let_51 (= _let_45 _let_49))) (let ((_let_52 (ho_3 (ho_5 k_4 _let_6) tptp.cE))) (let ((_let_53 (ho_3 _let_32 _let_7))) (let ((_let_54 (ho_3 _let_9 _let_52))) (let ((_let_55 (= (ho_3 _let_32 _let_54) (ho_3 (ho_5 k_4 _let_53) _let_52)))) (let ((_let_56 (ho_3 _let_48 _let_45))) (let ((_let_57 (ho_3 (ho_5 k_4 _let_45) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_58 (= (ho_3 _let_48 _let_57) (ho_3 (ho_5 k_4 _let_56) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_59 (= (ho_3 _let_9 _let_53) (ho_3 _let_11 _let_7)))) (let ((_let_60 (ho_3 _let_12 _let_34))) (let ((_let_61 (= (ho_3 _let_40 _let_60) (ho_3 (ho_5 k_4 (ho_3 _let_40 tptp.cE)) _let_34)))) (let ((_let_62 (= (ho_3 _let_36 tptp.cE) (ho_3 _let_9 (ho_3 _let_5 tptp.cE))))) (let ((_let_63 (ho_5 k_4 _let_46))) (let ((_let_64 (= (ho_3 _let_63 _let_28) (ho_3 (ho_5 k_4 (ho_3 _let_63 tptp.cE)) tptp.cE)))) (let ((_let_65 (= tptp.cE _let_53))) (let ((_let_66 (= _let_34 _let_60))) (let ((_let_67 (= (ho_3 _let_12 _let_60) (ho_3 _let_29 _let_34)))) (let ((_let_68 (ho_3 _let_63 _let_45))) (let ((_let_69 (= (ho_3 _let_63 _let_57) (ho_3 (ho_5 k_4 _let_68) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_70 (ho_3 _let_12 _let_6))) (let ((_let_71 (= (ho_3 _let_12 _let_52) (ho_3 (ho_5 k_4 _let_70) tptp.cE)))) (let ((_let_72 (= (ho_3 _let_9 _let_68) _let_56))) (let ((_let_73 (ho_3 k_2 tptp.cE))) (let ((_let_74 (ho_5 k_4 _let_73))) (let ((_let_75 (ho_3 _let_74 tptp.cE))) (let ((_let_76 (ho_3 _let_12 _let_39))) (let ((_let_77 (= (ho_3 _let_74 _let_76) (ho_3 (ho_5 k_4 _let_75) _let_39)))) (let ((_let_78 (= _let_39 _let_76))) (let ((_let_79 (= tptp.cE _let_68))) (let ((_let_80 (ho_3 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_81 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_80))) (let ((_let_82 (= (ho_3 _let_12 _let_80) (ho_3 _let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_83 (ho_3 _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_84 (= _let_70 (ho_3 (ho_5 k_4 _let_83) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_85 (= (ho_3 _let_9 _let_83) (ho_3 (ho_5 k_4 (ho_3 _let_9 tptp.cE)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_86 (= (ho_3 _let_74 _let_41) (ho_3 (ho_5 k_4 (ho_3 _let_74 _let_39)) _let_34)))) (let ((_let_87 (= tptp.cE _let_41))) (let ((_let_88 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_83))) (let ((_let_89 (= (ho_3 _let_12 _let_83) (ho_3 _let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_90 (= _let_54 (ho_3 (ho_5 k_4 _let_31) tptp.cE)))) (let ((_let_91 (= _let_31 _let_37))) (let ((_let_92 (= tptp.cE _let_75))) (let ((_let_93 (= tptp.cE _let_28))) (let ((_let_94 (= tptp.cE _let_31))) (let ((_let_95 (= tptp.cE _let_43))) (let ((_let_96 (= tptp.cE _let_57))) (let ((_let_97 (= (ho_3 _let_42 _let_45) _let_7))) (let ((_let_98 (not _let_14))) (let ((_let_99 (AND_ELIM _let_25 :args (1)))) (let ((_let_100 (_let_22))) (let ((_let_101 (_let_7 QUANTIFIERS_INST_ENUM))) (let ((_let_102 (ASSUME :args _let_100))) (let ((_let_103 (_let_4))) (let ((_let_104 (ASSUME :args _let_103))) (let ((_let_105 (ho_5 k_4 Xx))) (let ((_let_106 ((ho_3 _let_105 (ho_3 (ho_5 k_4 Xy) Xz))))) (let ((_let_107 (_let_45 QUANTIFIERS_INST_ENUM))) (let ((_let_108 ((ho_3 (ho_5 k_4 (ho_3 _let_105 Xy)) Xz)))) (let ((_let_109 (AND_ELIM _let_25 :args (2)))) (let ((_let_110 (_let_21))) (let ((_let_111 (ASSUME :args _let_110))) (let ((_let_112 (_let_34 QUANTIFIERS_INST_ENUM))) (let ((_let_113 (tptp.cE QUANTIFIERS_INST_ENUM))) (let ((_let_114 ((ho_3 k_2 Xy)))) (let ((_let_115 (not _let_97))) (let ((_let_116 (or))) (let ((_let_117 (_let_115))) (let ((_let_118 (not _let_20))) (let ((_let_119 (_let_118))) (let ((_let_120 (and _let_115 _let_96 _let_95 _let_94 _let_93 _let_92 _let_91 _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_82 _let_81 _let_79 _let_78 _let_77 _let_72 _let_71 _let_69 _let_67 _let_66 _let_65 _let_64 _let_62 _let_61 _let_59 _let_58 _let_55 _let_51 _let_50 _let_44 _let_38 _let_33 _let_30 _let_27))) (let ((_let_121 (ASSUME :args _let_117))) (let ((_let_122 (ASSUME :args (_let_27)))) (let ((_let_123 (SYMM _let_122))) (let ((_let_124 (APPLY_UF ho_3))) (let ((_let_125 (APPLY_UF ho_5))) (let ((_let_126 (ASSUME :args (_let_93)))) (let ((_let_127 (SYMM _let_126))) (let ((_let_128 (REFL :args (k_4)))) (let ((_let_129 (CONG _let_128 _let_127 :args _let_125))) (let ((_let_130 (ASSUME :args (_let_30)))) (let ((_let_131 (REFL :args (tptp.cE)))) (let ((_let_132 (ASSUME :args (_let_94)))) (let ((_let_133 (SYMM _let_132))) (let ((_let_134 (CONG (CONG _let_128 _let_133 :args _let_125) _let_131 :args _let_124))) (let ((_let_135 (ASSUME :args (_let_90)))) (let ((_let_136 (SYMM _let_135))) (let ((_let_137 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_138 (ASSUME :args (_let_88)))) (let ((_let_139 (SYMM _let_138))) (let ((_let_140 (ASSUME :args (_let_84)))) (let ((_let_141 (ASSUME :args (_let_71)))) (let ((_let_142 (ASSUME :args (_let_65)))) (let ((_let_143 (SYMM _let_142))) (let ((_let_144 (ASSUME :args (_let_55)))) (let ((_let_145 (REFL :args (_let_9)))) (let ((_let_146 (ASSUME :args (_let_33)))) (let ((_let_147 (REFL :args (_let_11)))) (let ((_let_148 (REFL :args (_let_45)))) (let ((_let_149 (ASSUME :args (_let_66)))) (let ((_let_150 (REFL :args (_let_34)))) (let ((_let_151 (ASSUME :args (_let_67)))) (let ((_let_152 (ASSUME :args (_let_91)))) (let ((_let_153 (ASSUME :args (_let_38)))) (let ((_let_154 (ASSUME :args (_let_81)))) (let ((_let_155 (ASSUME :args (_let_82)))) (let ((_let_156 (ASSUME :args (_let_87)))) (let ((_let_157 (ASSUME :args (_let_44)))) (let ((_let_158 (ASSUME :args (_let_95)))) (let ((_let_159 (ASSUME :args (_let_61)))) (let ((_let_160 (ASSUME :args (_let_78)))) (let ((_let_161 (ASSUME :args (_let_92)))) (let ((_let_162 (ASSUME :args (_let_77)))) (let ((_let_163 (REFL :args (_let_74)))) (let ((_let_164 (ASSUME :args (_let_86)))) (let ((_let_165 (ASSUME :args (_let_62)))) (let ((_let_166 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_167 (CONG _let_129 _let_166 :args _let_124))) (let ((_let_168 (ASSUME :args (_let_89)))) (let ((_let_169 (SYMM _let_168))) (let ((_let_170 (ASSUME :args (_let_79)))) (let ((_let_171 (SYMM _let_170))) (let ((_let_172 (CONG (CONG _let_128 _let_171 :args _let_125) _let_138 :args _let_124))) (let ((_let_173 (ASSUME :args (_let_69)))) (let ((_let_174 (SYMM _let_173))) (let ((_let_175 (ASSUME :args (_let_96)))) (let ((_let_176 (SYMM _let_175))) (let ((_let_177 (SYMM _let_176))) (let ((_let_178 (REFL :args (_let_63)))) (let ((_let_179 (ASSUME :args (_let_64)))) (let ((_let_180 (ASSUME :args (_let_85)))) (let ((_let_181 (CONG _let_145 _let_171 :args _let_124))) (let ((_let_182 (ASSUME :args 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_let_65 _let_64 _let_62 _let_61 _let_59 _let_58 _let_55 _let_51 _let_50 _let_44 _let_38 _let_33 _let_30 _let_27))) :args (true _let_120)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_115) _let_97))) (REFL :args ((not _let_96))) (REFL :args ((not _let_95))) (REFL :args ((not _let_94))) (REFL :args ((not _let_93))) (REFL :args ((not _let_92))) (REFL :args ((not _let_91))) (REFL :args ((not _let_90))) (REFL :args ((not _let_89))) (REFL :args ((not _let_88))) (REFL :args ((not _let_87))) (REFL :args ((not _let_86))) (REFL :args ((not _let_85))) (REFL :args ((not _let_84))) (REFL :args ((not _let_82))) (REFL :args ((not _let_81))) (REFL :args ((not _let_79))) (REFL :args ((not _let_78))) (REFL :args ((not _let_77))) (REFL :args ((not _let_72))) (REFL :args ((not _let_71))) (REFL :args ((not _let_69))) (REFL :args ((not _let_67))) (REFL :args ((not _let_66))) (REFL :args ((not _let_65))) (REFL :args ((not _let_64))) (REFL :args ((not _let_62))) (REFL :args ((not _let_61))) (REFL :args ((not _let_59))) (REFL :args ((not _let_58))) (REFL :args ((not _let_55))) (REFL :args ((not _let_51))) (REFL :args ((not _let_50))) (REFL :args ((not _let_44))) (REFL :args ((not _let_38))) (REFL :args ((not _let_33))) (REFL :args ((not _let_30))) (REFL :args ((not _let_27))) (REFL :args (_let_98)) :args _let_116)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_119)) :args _let_119)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_118) _let_20))) (REFL :args _let_117) :args _let_116)) (NOT_IMPLIES_ELIM2 _let_24) :args (_let_115 true _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_114)) :args _let_110)) _let_109 :args (_let_96 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_114)) :args _let_110)) _let_109 :args (_let_95 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false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_7 _let_46 _let_45 QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_103)) _let_26 :args (_let_72 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.cE _let_6 tptp.cE QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_103)) _let_26 :args (_let_71 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_46 _let_45 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_103)) _let_26 :args (_let_69 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.cE tptp.cE _let_34 QUANTIFIERS_INST_ENUM)) :args _let_103)) _let_26 :args (_let_67 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args _let_112) :args _let_100)) _let_99 :args (_let_66 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args _let_101) :args _let_110)) _let_109 :args (_let_65 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_46 tptp.cE tptp.cE QUANTIFIERS_INST_CBQI_PROP)) :args _let_103)) _let_26 :args (_let_64 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.cE QUANTIFIERS_INST_CBQI_PROP)) :args _let_103))) _let_26 :args (_let_62 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_39 tptp.cE _let_34 QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_103)) _let_26 :args (_let_61 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_7 _let_8 _let_7 QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_103)) _let_26 :args (_let_59 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_47 _let_45 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_103)) _let_26 :args (_let_58 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_8 _let_7 _let_52 QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_103)) _let_26 :args (_let_55 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args _let_107) :args _let_100)) _let_99 :args (_let_51 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_47 tptp.cE _let_45 QUANTIFIERS_INST_CBQI_PROP)) :args _let_103)) _let_26 :args (_let_50 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_39 _let_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_CBQI_PROP)) :args _let_103)) _let_26 :args (_let_44 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_34 QUANTIFIERS_INST_CBQI_PROP)) :args _let_103)) _let_26 :args (_let_38 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_7 _let_8 _let_31 QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_103)) _let_26 :args (_let_33 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.cE tptp.cE _let_7 QUANTIFIERS_INST_ENUM)) :args _let_103)) _let_26 :args (_let_30 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args _let_101) :args _let_100)) _let_99 :args (_let_27 false _let_22)) :args (_let_98 true _let_97 false _let_96 false _let_95 false _let_94 false _let_93 false _let_92 false _let_91 false _let_90 false _let_89 false _let_88 false _let_87 false _let_86 false _let_85 false _let_84 false _let_82 false _let_81 false _let_79 false _let_78 false _let_77 false _let_72 false _let_71 false _let_69 false _let_67 false _let_66 false _let_65 false _let_64 false _let_62 false _let_61 false _let_59 false _let_58 false _let_55 false _let_51 false _let_50 false _let_44 false _let_38 false _let_33 false _let_30 false _let_27)) _let_26 :args (false true _let_14 false _let_4)) :args (_let_3 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 60.94/61.40 )
% 60.94/61.40 % SZS output end Proof for ALG284^5
% 60.94/61.40 % cvc5---1.0.5 exiting
% 61.28/61.41 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------