TSTP Solution File: SYN473-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN473-1 : TPTP v8.1.2. Released v2.1.0.
% 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 02:03:29 EDT 2023
% Result : Unsatisfiable 0.21s 0.72s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYN473-1 : TPTP v8.1.2. Released v2.1.0.
% 0.08/0.15 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n022.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 : Sat Aug 26 17:17:40 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.r3a7qjfheC/cvc5---1.0.5_1598.p...
% 0.21/0.53 ------- get file name : TPTP file name is SYN473-1
% 0.21/0.53 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1598.smt2...
% 0.21/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.72 % SZS status Unsatisfiable for SYN473-1
% 0.21/0.72 % SZS output start Proof for SYN473-1
% 0.21/0.75 (
% 0.21/0.75 (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (not (tptp.c2_1 W)) (not (tptp.c3_1 W)) (tptp.c0_1 W))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (tptp.c3_1 U) (tptp.c2_1 V) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c1_1 W)) (not (tptp.c2_1 W)) (tptp.c2_1 U) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 W))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (not (tptp.c3_1 W)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c2_1 W))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (not (tptp.c3_1 W)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c2_1 W))))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (not (tptp.c3_1 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c3_1 V) tptp.hskp5)))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c2_1 U) (tptp.c2_1 V) tptp.hskp28)))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp12)))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp22)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) tptp.hskp8)))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) tptp.hskp13)))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) tptp.hskp14)))) (let ((_let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp15)))) (let ((_let_19 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp7)))) (let ((_let_20 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp9)))) (let ((_let_21 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp6)))) (let ((_let_22 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp29)))) (let ((_let_23 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp19)))) (let ((_let_24 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp3)))) (let ((_let_25 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c0_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp12)))) (let ((_let_26 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c0_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp11)))) (let ((_let_27 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp29)))) (let ((_let_28 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp21 tptp.hskp11)))) (let ((_let_29 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp15 tptp.hskp16)))) (let ((_let_30 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp14 tptp.hskp22)))) (let ((_let_31 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp23 tptp.hskp13)))) (let ((_let_32 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp29 tptp.hskp9)))) (let ((_let_33 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp14 tptp.hskp18)))) (let ((_let_34 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp13 tptp.hskp1)))) (let ((_let_35 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp28 tptp.hskp19)))) (let ((_let_36 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp20 tptp.hskp1)))) (let ((_let_37 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp13 tptp.hskp6)))) (let ((_let_38 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp4 tptp.hskp8)))) (let ((_let_39 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp27 tptp.hskp28)))) (let ((_let_40 (not tptp.hskp0))) (let ((_let_41 (not tptp.hskp1))) (let ((_let_42 (tptp.c2_1 tptp.a794))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_41))) (let ((_let_45 (tptp.c0_1 tptp.a794))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_41))) (let ((_let_48 (not tptp.hskp2))) (let ((_let_49 (not tptp.hskp3))) (let ((_let_50 (tptp.c3_1 tptp.a798))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_49))) (let ((_let_53 (not tptp.hskp4))) (let ((_let_54 (tptp.c1_1 tptp.a799))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_53))) (let ((_let_57 (not tptp.hskp5))) (let ((_let_58 (tptp.c1_1 tptp.a800))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_57))) (let ((_let_61 (tptp.c0_1 tptp.a800))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_57))) (let ((_let_64 (not tptp.hskp6))) (let ((_let_65 (tptp.c0_1 tptp.a802))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_64))) (let ((_let_68 (not tptp.hskp7))) (let ((_let_69 (tptp.c2_1 tptp.a803))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_68))) (let ((_let_72 (not tptp.hskp8))) (let ((_let_73 (tptp.c3_1 tptp.a805))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_74 _let_72))) (let ((_let_76 (tptp.c2_1 tptp.a805))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_72))) (let ((_let_79 (not tptp.hskp9))) (let ((_let_80 (tptp.c3_1 tptp.a806))) (let ((_let_81 (not _let_80))) (let ((_let_82 (or _let_81 _let_79))) (let ((_let_83 (not tptp.hskp10))) (let ((_let_84 (tptp.c3_1 tptp.a807))) (let ((_let_85 (not _let_84))) (let ((_let_86 (or _let_85 _let_83))) (let ((_let_87 (tptp.c2_1 tptp.a807))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_83))) (let ((_let_90 (tptp.c0_1 tptp.a807))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_91 _let_83))) (let ((_let_93 (not tptp.hskp11))) (let ((_let_94 (tptp.c2_1 tptp.a808))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_95 _let_93))) (let ((_let_97 (tptp.c1_1 tptp.a808))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_98 _let_93))) (let ((_let_100 (not tptp.hskp12))) (let ((_let_101 (tptp.c0_1 tptp.a809))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_102 _let_100))) (let ((_let_104 (not tptp.hskp13))) (let ((_let_105 (tptp.c3_1 tptp.a814))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_106 _let_104))) (let ((_let_108 (tptp.c0_1 tptp.a814))) (let ((_let_109 (not _let_108))) (let ((_let_110 (or _let_109 _let_104))) (let ((_let_111 (not tptp.hskp14))) (let ((_let_112 (tptp.c2_1 tptp.a816))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_113 _let_111))) (let ((_let_115 (tptp.c1_1 tptp.a816))) (let ((_let_116 (not _let_115))) (let ((_let_117 (or _let_116 _let_111))) (let ((_let_118 (not tptp.hskp15))) (let ((_let_119 (tptp.c1_1 tptp.a817))) (let ((_let_120 (not _let_119))) (let ((_let_121 (or _let_120 _let_118))) (let ((_let_122 (not tptp.hskp16))) (let ((_let_123 (tptp.c2_1 tptp.a821))) (let ((_let_124 (not _let_123))) (let ((_let_125 (or _let_124 _let_122))) (let ((_let_126 (tptp.c1_1 tptp.a821))) (let ((_let_127 (not _let_126))) (let ((_let_128 (or _let_127 _let_122))) (let ((_let_129 (tptp.c0_1 tptp.a821))) (let ((_let_130 (not _let_129))) (let ((_let_131 (or _let_130 _let_122))) (let ((_let_132 (not tptp.hskp17))) (let ((_let_133 (not tptp.hskp18))) (let ((_let_134 (tptp.c3_1 tptp.a828))) (let ((_let_135 (not _let_134))) (let ((_let_136 (or _let_135 _let_133))) (let ((_let_137 (tptp.c2_1 tptp.a828))) (let ((_let_138 (not _let_137))) (let ((_let_139 (or _let_138 _let_133))) (let ((_let_140 (tptp.c1_1 tptp.a828))) (let ((_let_141 (not _let_140))) (let ((_let_142 (or _let_141 _let_133))) (let ((_let_143 (not tptp.hskp19))) (let ((_let_144 (tptp.c3_1 tptp.a832))) (let ((_let_145 (not _let_144))) (let ((_let_146 (or _let_145 _let_143))) (let ((_let_147 (tptp.c1_1 tptp.a832))) (let ((_let_148 (not _let_147))) (let ((_let_149 (or _let_148 _let_143))) (let ((_let_150 (not tptp.hskp20))) (let ((_let_151 (tptp.c2_1 tptp.a833))) (let ((_let_152 (not _let_151))) (let ((_let_153 (or _let_152 _let_150))) (let ((_let_154 (tptp.c0_1 tptp.a833))) (let ((_let_155 (not _let_154))) (let ((_let_156 (or _let_155 _let_150))) (let ((_let_157 (not tptp.hskp21))) (let ((_let_158 (tptp.c2_1 tptp.a838))) (let ((_let_159 (not _let_158))) (let ((_let_160 (or _let_159 _let_157))) (let 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V)))))) (let ((_let_803 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp7 _let_288 _let_344 _let_727))))) (let ((_let_804 (ASSUME :args (_let_192)))) (let ((_let_805 (ASSUME :args (_let_190)))) (let ((_let_806 (REORDERING (ASSUME :args (_let_71)) :args ((or _let_68 _let_70))))) (let ((_let_807 (REORDERING (CNF_OR_POS :args (_let_730)) :args ((or _let_69 _let_729 _let_728 (not _let_730)))))) (let ((_let_808 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp12 _let_288 _let_334 _let_327))))) (let ((_let_809 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_265 (= U U)))))) (let ((_let_810 ((not (= (tptp.c2_1 U) false))))) (let ((_let_811 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_664 :args (tptp.a832 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_810)) :args _let_663)))) (let ((_let_812 (not _let_514))) (let ((_let_813 (_let_812))) (let ((_let_814 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(CNF_OR_NEG :args (_let_1045 2)) (CNF_OR_NEG :args (_let_1045 1)) (CNF_OR_NEG :args (_let_1045 0)) :args ((or _let_1045 _let_1053 _let_1052) true _let_1040 true _let_1038 true _let_1039 true _let_1042)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_750 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_749)) :args _let_748)) _let_751 _let_912 _let_914 _let_563 _let_567 _let_593 _let_969 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_544 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_543)) :args _let_542)) _let_984 _let_546 _let_983 _let_547 _let_980 _let_506 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_282 (= U U)))) _let_735 _let_789 _let_1051 _let_788 _let_787 _let_793 _let_798 _let_799 _let_800 _let_801 _let_1050 _let_1049 _let_1048 _let_548 _let_539 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_551 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_549)) _let_540 (REORDERING (CNF_OR_POS :args (_let_1034)) :args ((or _let_398 _let_395 _let_510 (not _let_1034)))) :args ((or _let_288 _let_394 _let_349 _let_412 _let_328 _let_398 _let_396 _let_395 _let_332 _let_330 _let_329 _let_510 _let_422 _let_1047) false _let_207 false tptp.hskp14 true tptp.hskp18 false _let_1046 false _let_458 false _let_1045 false _let_1044 false _let_720 false _let_311 false _let_886 true tptp.hskp29 false _let_479 false _let_477 false _let_525 false _let_1041 false _let_324 false _let_416 false _let_325 false _let_512 true _let_335 true _let_487 true _let_1037 true _let_282 true _let_341 true _let_336 false _let_337 false _let_339 true _let_770 true _let_446 true _let_773 false _let_771 false _let_774 false _let_450 false _let_1036 true _let_1035 true _let_513 true _let_306 true _let_514 true _let_511 true _let_1034)) _let_1033 _let_1031 _let_860 _let_858 _let_1030 _let_857 _let_856 _let_894 _let_853 _let_1029 _let_742 _let_851 _let_490 _let_819 _let_818 _let_817 _let_816 _let_534 _let_533 _let_532 _let_489 _let_891 _let_530 _let_595 _let_889 _let_888 (MACRO_RESOLUTION_TRUST _let_1010 _let_603 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_942)) :args ((or _let_941 _let_940 _let_939 (not _let_942)))) (REORDERING (CNF_OR_POS :args (_let_945)) :args ((or _let_941 _let_944 _let_938 (not _let_945)))) (ASSUME :args (_let_248)) (ASSUME :args (_let_250)) (ASSUME :args (_let_252)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_908 :args (tptp.a867 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_907)) :args _let_906)) _let_1028 _let_1027 _let_819 _let_1024 _let_742 _let_1021 _let_894 _let_1013 _let_895 _let_1012 _let_882 _let_563 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_638 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_637)) :args _let_636)) _let_567 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_566 :args (tptp.a867 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_565)) :args _let_564)) (REORDERING (CNF_OR_POS :args (_let_937)) :args ((or _let_332 _let_329 _let_771 (not _let_937)))) _let_570 _let_799 _let_580 _let_798 _let_581 _let_793 _let_991 _let_790 _let_989 _let_784 _let_1020 _let_986 _let_783 _let_735 _let_779 (MACRO_RESOLUTION_TRUST _let_639 _let_882 _let_644 _let_895 _let_879 _let_896 _let_878 _let_545 _let_1019 _let_894 _let_541 _let_1018 _let_742 _let_540 _let_819 _let_534 _let_533 _let_532 _let_891 _let_530 _let_888 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1005)) :args ((or _let_1004 _let_993 _let_996 (not _let_1005)))) (REORDERING (CNF_OR_POS :args (_let_998)) :args ((or _let_995 _let_993 _let_997 (not _let_998)))) (CNF_OR_NEG :args (_let_1006 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1006 1)) (CONG _let_1016 (MACRO_SR_PRED_INTRO :args ((= (not _let_995) _let_994))) :args _let_464)) :args ((or _let_994 _let_1006))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1006 0)) (CONG _let_1016 (MACRO_SR_PRED_INTRO :args ((= (not _let_1004) _let_1003))) :args _let_464)) :args ((or _let_1003 _let_1006))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1015)) :args _let_1015)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1014) _let_622))) (REFL :args ((not _let_1006))) :args _let_464)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_686 :args (tptp.a796 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_685)) :args _let_684)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_750 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_749)) :args _let_748)) (REORDERING (CNF_OR_POS :args (_let_1002)) :args ((or _let_978 _let_1001 _let_976 (not _let_1002)))) _let_1013 (REORDERING (CNF_OR_POS :args (_let_979)) :args ((or _let_978 _let_975 _let_977 _let_1007))) _let_1012 (ASSUME :args (_let_227)) (ASSUME :args (_let_229)) (ASSUME :args (_let_231)) _let_959 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp28 tptp.hskp27 _let_288 _let_1000))) _let_957 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_1011) :args (tptp.a807 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) true))))) :args _let_1011)) _let_956 (REORDERING (CNF_OR_POS :args (_let_999)) :args ((or _let_90 _let_84 _let_924 (not _let_999)))) _let_955 _let_952 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_657 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_656)) :args _let_655)) _let_948 _let_947 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp13 tptp.hskp6 _let_288 _let_266))) _let_654 _let_1010 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_992)) :args ((or _let_105 _let_619 _let_972 _let_1009))) (REORDERING (CNF_OR_POS :args (_let_974)) :args ((or _let_105 _let_619 _let_973 _let_1008))) _let_680 _let_679 :args ((or _let_104 _let_1008 _let_1009) true _let_972 true _let_105 false _let_205)) _let_603 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_598 :args (tptp.a814 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_597)) :args _let_596)) _let_600 :args ((or tptp.hskp29 tptp.hskp28 tptp.hskp6 _let_288 _let_281 _let_526 _let_1008 _let_1007) true _let_996 true _let_993 false _let_994 false _let_1003 true _let_1006 true _let_622 false _let_1005 true _let_1002 false _let_311 true _let_976 false _let_943 false _let_225 false _let_228 false _let_230 true _let_929 false tptp.hskp27 true _let_458 true _let_1000 true _let_927 true _let_999 true _let_924 false _let_926 false _let_998 true _let_84 true _let_90 false _let_266 false _let_280 false tptp.hskp10 true tptp.hskp13 true tptp.hskp8 false _let_992 false _let_270)) _let_847 _let_707 _let_558 _let_563 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_566 :args (tptp.a796 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_565)) :args _let_564)) _let_567 _let_570 _let_580 _let_581 _let_991 _let_989 _let_969 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_968 :args (tptp.a814 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_967)) :args _let_966)) _let_539 _let_986 _let_844 _let_811 _let_984 _let_783 _let_809 _let_983 _let_779 _let_808 _let_919 _let_776 _let_765 _let_881 _let_982 _let_981 (REORDERING (CNF_OR_POS :args (_let_384)) :args ((or _let_383 _let_379 _let_381 _let_920))) _let_841 _let_840 _let_839 _let_837 _let_980 _let_652 :args ((or tptp.hskp28 tptp.hskp12 tptp.hskp9 _let_288 _let_282 _let_921 _let_920) false _let_421 true _let_420 false _let_419 false tptp.hskp11 true _let_418 true _let_417 true _let_416 true _let_266 true _let_407 true _let_415 true _let_414 true _let_403 true _let_413 true _let_401 true _let_395 true _let_396 false _let_397 false tptp.hskp19 true _let_399 true _let_393 true _let_268 true tptp.hskp6 false _let_435 false _let_431 true tptp.hskp29 false _let_979 false _let_479 false _let_477 false _let_524 false _let_572 false _let_343 false _let_936 false _let_525 false _let_974 false _let_511 false _let_935 false _let_448 false _let_387 false _let_324 false _let_306 false _let_265 false _let_325 false _let_767 false _let_334 true _let_328 true _let_766 true _let_327 true _let_326 true _let_289 true _let_971 true _let_380 true _let_438 false _let_378 false _let_382 true _let_444 true _let_335 true _let_281)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_932)) :args ((or _let_80 _let_474 _let_480 _let_970))) _let_706 _let_556 _let_555 :args ((or _let_79 _let_705 _let_970) false _let_473 true _let_80 false _let_195)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_968 :args (tptp.a806 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_967)) :args _let_966)) _let_969 _let_965 _let_964 _let_963 _let_959 _let_958 _let_957 _let_955 _let_956 _let_952 _let_673 _let_670 _let_665 _let_811 _let_809 _let_782 _let_780 _let_808 _let_778 _let_776 _let_765 _let_951 _let_896 _let_950 _let_949 _let_948 _let_947 _let_946 :args ((or tptp.hskp28 tptp.hskp12 _let_83 _let_288 _let_289 _let_705 _let_630 _let_921 _let_920) false _let_938 false _let_246 false _let_249 false _let_251 false _let_945 false tptp.hskp30 false _let_298 true tptp.hskp19 false _let_304 false _let_401 false _let_310 false _let_403 false _let_311 false _let_407 false _let_943 true _let_419 true tptp.hskp29 true _let_421 false _let_479 false _let_942 true _let_937 false _let_477 true _let_771 false _let_524 false _let_773 false _let_572 false _let_446 false _let_343 false _let_770 false _let_936 false _let_769 false _let_309 false _let_935 false _let_306 false _let_341 false _let_767 false _let_282 true tptp.hskp9 false _let_932 false _let_525 false _let_324 true _let_931 true _let_930 true _let_929 true _let_928 true _let_458 true _let_924 true _let_927 false _let_926 false _let_266 false _let_618 false _let_617 false _let_387 false _let_265 true _let_329 false _let_331 false _let_334 true _let_333 true _let_766 true _let_327 true _let_923 true _let_418 true _let_416 true _let_922 true _let_84 true _let_90 true _let_87)) _let_601 _let_600 _let_599 :args ((or tptp.hskp28 tptp.hskp12 _let_288 _let_289 _let_526 _let_921 _let_920) true tptp.hskp8 true tptp.hskp10 false _let_362 false _let_270 false _let_475)) _let_843 _let_811 _let_809 _let_782 _let_781 _let_780 _let_808 _let_778 _let_919 _let_765 _let_881 (MACRO_RESOLUTION_TRUST _let_681 _let_677 (MACRO_RESOLUTION_TRUST _let_905 _let_902 _let_910 _let_883 _let_694 _let_693 _let_764 _let_651 _let_717 _let_639 _let_918 _let_644 _let_917 _let_880 _let_760 _let_899 _let_758 :args ((or tptp.hskp22 tptp.hskp13 _let_288 _let_754) false _let_626 false _let_877 true _let_609 true _let_610 false _let_611 false _let_311 true _let_613 false _let_314 true _let_421 false _let_268 true _let_420 false _let_916 false tptp.hskp11 true tptp.hskp1 false _let_876 false _let_294)) (MACRO_RESOLUTION_TRUST _let_905 _let_910 _let_902 _let_764 _let_899 _let_765 _let_808 _let_809 _let_665 _let_670 _let_601 _let_717 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_887)) :args ((or _let_478 _let_365 _let_363 (not _let_887)))) (REORDERING (CNF_OR_POS :args (_let_367)) :args ((or _let_366 _let_365 _let_364 _let_872))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_823 :args (tptp.a829 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_822)) :args _let_821)) _let_562 _let_561 _let_560 _let_915 _let_914 _let_913 _let_912 _let_911 _let_910 _let_909 _let_905 _let_904 _let_902 _let_901 _let_899 _let_898 _let_765 _let_808 _let_809 _let_897 _let_891 _let_890 _let_889 _let_888 :args ((or tptp.hskp28 tptp.hskp12 _let_94 _let_288 _let_268 _let_419 _let_291 _let_612 _let_610 _let_609 _let_615 _let_358 _let_872) true _let_363 false _let_887 false _let_239 false _let_242 false _let_244 false _let_319 false tptp.hskp29 false _let_318 true _let_886 true _let_300 true _let_311 true _let_298 true _let_877 true _let_885 false _let_626 false _let_290 false _let_876 false _let_292 false _let_289 false _let_327 true _let_334 true _let_265 false tptp.hskp19 true _let_316 true _let_394 true _let_393)) _let_883 _let_694 _let_693 _let_651 _let_882 _let_639 _let_644 _let_643 _let_641 _let_668 _let_667 (MACRO_RESOLUTION_TRUST _let_758 _let_760 _let_881 _let_880 _let_879 :args ((or tptp.hskp22 tptp.hskp11 _let_288 _let_417) true _let_294 false _let_289 false tptp.hskp1 false _let_326)) _let_673 _let_878 :args ((or tptp.hskp28 tptp.hskp22 tptp.hskp12 _let_288 _let_266 _let_872) false _let_877 false _let_626 false _let_311 false _let_876 false _let_289 false _let_327 true _let_334 true _let_265 true _let_617 false _let_362 false _let_314 false _let_268 true _let_609 true _let_610 false _let_611 true _let_613 true _let_419 true _let_421 true _let_420 true _let_94 false _let_199 true _let_358 true _let_615 false tptp.hskp11 true _let_618 true _let_417)) _let_875 _let_873 :args ((or tptp.hskp28 tptp.hskp12 _let_288 _let_754 _let_872 _let_871) false _let_620 false tptp.hskp13 false _let_266 true tptp.hskp22 false _let_297)) _let_870 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_863 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_862)) :args _let_861)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_863 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_862)) :args _let_861)) _let_865 _let_864 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_863 :args (tptp.a829 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_862)) :args _let_861)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_460)) :args ((or _let_391 _let_388 _let_410 (not _let_460)))) _let_860 _let_858 _let_857 _let_856 _let_853 _let_851 _let_818 _let_817 _let_816 _let_834 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_823 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 U) false))))) :args _let_821)) _let_832 _let_824 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_829 :args (tptp.a821 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_850)) :args _let_827)) _let_826 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_456)) :args ((or _let_126 _let_123 _let_453 _let_849))) (REORDERING (CNF_OR_POS :args (_let_455)) :args ((or _let_129 _let_126 _let_454 _let_848))) (REORDERING (ASSUME :args (_let_125)) :args ((or _let_122 _let_124))) (REORDERING (ASSUME :args (_let_128)) :args ((or _let_122 _let_127))) (REORDERING (ASSUME :args (_let_131)) :args ((or _let_122 _let_130))) :args ((or _let_122 _let_849 _let_848) true _let_453 true _let_123 true _let_126 true _let_129)) _let_831 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_700 :args (tptp.a821 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_699)) :args _let_698)) _let_833 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_450 (= U V)))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp6 _let_288 _let_447 _let_449))) _let_847 _let_844 _let_843 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_446 (= U U)))) _let_662 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_796 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_795)) :args _let_794)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp16 tptp.hskp15 _let_288 _let_443))) _let_661 (REORDERING (CNF_OR_POS :args (_let_445)) :args ((or _let_383 _let_379 _let_380 (not _let_445)))) _let_660 _let_842 _let_658 _let_841 _let_840 _let_839 _let_654 _let_837 _let_652 _let_835 _let_603 _let_601 _let_717 _let_716 _let_600 _let_715 _let_595 _let_489 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_283 (= U U)))) _let_714 _let_490 _let_713 _let_712 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_711 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_710)) :args _let_709)) _let_494 (REORDERING (CNF_OR_POS :args (_let_442)) :args ((or _let_427 _let_425 _let_440 (not _let_442)))) _let_495 (REORDERING (CNF_OR_POS :args (_let_437)) :args ((or _let_427 _let_425 _let_436 (not _let_437)))) _let_708 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_591 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_590)) :args _let_589)) _let_707 (MACRO_RESOLUTION_TRUST _let_706 _let_704 _let_556 _let_555 _let_554 _let_558 _let_563 _let_703 _let_567 _let_583 _let_582 _let_702 _let_603 _let_601 _let_600 _let_599 _let_595 (MACRO_RESOLUTION_TRUST _let_594 _let_507 _let_506 _let_505 _let_501 _let_497 _let_496 _let_495 _let_494 _let_490 _let_489 :args ((or tptp.hskp12 _let_288 _let_431 _let_349 _let_429 _let_427 _let_425 _let_422) true _let_488 true _let_487 true _let_486 true _let_282 true _let_485 true _let_484 true _let_436 false _let_441 false _let_343 false _let_347)) _let_483 :args ((or tptp.hskp12 _let_288 _let_431 _let_423 _let_276 _let_429 _let_427 _let_425 _let_422) true _let_473 true _let_80 false _let_195 false _let_197 false tptp.hskp9 true tptp.hskp29 false _let_482 false _let_479 false _let_477 true _let_476 true _let_343 true tptp.hskp8 false _let_362 false _let_270 false _let_475 false _let_268 false _let_349 true _let_472)) _let_471 _let_470 _let_469 _let_467 _let_463 _let_462 _let_461 :args ((or tptp.hskp12 _let_288 _let_275 _let_422) false _let_389 true _let_388 false _let_390 true _let_409 true _let_406 true _let_402 true _let_144 true _let_147 false _let_213 false tptp.hskp19 false _let_460 true _let_459 false _let_319 true _let_458 false _let_457 true _let_456 true tptp.hskp5 false _let_455 false _let_452 false _let_450 false _let_449 true tptp.hskp6 false _let_448 false _let_392 true _let_447 false _let_265 true _let_446 false tptp.hskp16 false _let_267 true _let_445 true tptp.hskp15 true _let_380 false _let_279 true _let_438 false _let_378 false _let_382 false _let_280 true _let_444 true _let_281 true _let_282 true tptp.hskp8 false _let_362 false _let_314 false _let_357 false _let_270 false _let_352 false _let_268 false _let_349 true _let_443 true _let_348 true _let_347 true _let_346 true _let_345 true _let_283 true _let_343 true _let_442 true _let_441 false _let_436 false _let_439 false _let_437 false _let_435 false _let_431 false _let_424 false _let_426 false _let_428 true _let_430 true _let_276 true _let_344 true _let_423)) :args ((or tptp.hskp12 _let_288 _let_422) false _let_421 true _let_420 false _let_419 false tptp.hskp11 true _let_418 true _let_417 true _let_416 true _let_266 true _let_415 true _let_414 true _let_413 true _let_412 true _let_411 false _let_389 true _let_388 true _let_408 false _let_390 true _let_409 true _let_407 true _let_406 false _let_405 true _let_403 true _let_402 false _let_343 true _let_401 true _let_144 true _let_147 false _let_213 true _let_395 true _let_396 false _let_397 false _let_347 false tptp.hskp19 true _let_399 true _let_349 true _let_394 true _let_393 true _let_268 false _let_392 false _let_387 false _let_265 true _let_329 true _let_330 false _let_331 false _let_334 true _let_333 true _let_328 true _let_327 true _let_326 true _let_289 true tptp.hskp28 false _let_384 false _let_377 false _let_370 false _let_274 false _let_367 false _let_275)))) (let ((_let_1058 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_968 :args (tptp.a809 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_967)) :args _let_966)))) (let ((_let_1059 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_500 :args (tptp.a797 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_499)) :args _let_498)))) (let ((_let_1060 (not _let_342))) (let ((_let_1061 (not _let_285))) (let ((_let_1062 (REORDERING (CNF_OR_POS :args (_let_285)) :args ((or _let_273 _let_271 _let_284 _let_1061))))) (let ((_let_1063 (REORDERING (CNF_OR_POS :args (_let_342)) :args ((or _let_273 _let_271 _let_286 _let_1060))))) (let ((_let_1064 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_493 :args (tptp.a797 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_492)) :args _let_491)))) (let ((_let_1065 (MACRO_RESOLUTION_TRUST _let_835 _let_601 _let_717 _let_716 _let_715 _let_595 _let_489 _let_714 _let_490 _let_713 _let_712 _let_462 _let_1064 _let_864 (MACRO_RESOLUTION_TRUST _let_1063 _let_1062 :args ((or _let_273 _let_271 _let_1061 _let_1060) false _let_284)) _let_870 _let_869 _let_867 (MACRO_RESOLUTION_TRUST _let_965 _let_964 _let_951 _let_963 _let_950 _let_958 _let_949 _let_955 _let_948 _let_946 _let_947 _let_1010 _let_603 _let_600 (MACRO_RESOLUTION_TRUST _let_789 _let_1051 _let_788 _let_787 _let_793 _let_798 _let_799 _let_800 _let_801 _let_1050 _let_1049 _let_1033 _let_1031 _let_860 _let_858 _let_1030 _let_857 _let_1048 _let_856 _let_539 _let_853 _let_540 _let_1029 _let_851 _let_1018 _let_490 _let_818 _let_817 _let_816 _let_534 _let_533 _let_532 _let_489 _let_891 _let_530 _let_595 _let_888 :args ((or tptp.hskp28 tptp.hskp12 _let_288 _let_268 _let_332 _let_330 _let_329 _let_1017 _let_859 _let_775) true _let_336 false _let_337 false _let_339 true _let_770 true _let_446 true _let_773 false _let_771 false _let_774 false _let_450 false _let_1036 true _let_412 true _let_411 false _let_389 true _let_388 true _let_408 false _let_390 true _let_1035 true _let_409 true _let_306 true _let_406 true _let_511 false _let_405 true _let_402 false _let_413 false _let_343 true _let_144 true _let_147 false _let_213 true _let_395 true _let_396 false _let_397 false _let_347 false tptp.hskp19 true _let_399 true _let_349 true _let_393)) _let_952 _let_1019 (MACRO_RESOLUTION_TRUST _let_897 _let_891 _let_882 _let_888 _let_639 _let_601 _let_644 _let_670 _let_668 _let_667 _let_879 _let_673 _let_878 _let_665 :args ((or tptp.hskp28 _let_288 _let_266 _let_326 _let_893) false tptp.hskp19 true _let_419 true _let_393 true _let_421 true _let_268 true _let_420 true _let_362 true _let_358 true _let_615 false tptp.hskp11 true _let_618 true _let_417 false _let_617)) _let_843 _let_1058 _let_1057 :args ((or tptp.hskp28 tptp.hskp12 _let_288 _let_326 _let_893 _let_332 _let_330 _let_329 _let_775) true _let_931 true _let_923 true _let_930 true _let_416 true _let_928 true _let_922 true _let_924 true _let_84 true _let_87 true _let_90 false tptp.hskp10 true tptp.hskp8 false _let_270 false _let_268 false _let_926 false _let_414 false _let_266 false _let_392 true _let_324 true _let_262)) _let_735 _let_1059 _let_980 _let_809 _let_782 _let_781 _let_780 _let_983 _let_808 _let_778 _let_919 _let_765 _let_881 _let_984 _let_1058 _let_1057 :args ((or tptp.hskp12 _let_288 _let_289) false _let_362 false _let_314 false _let_357 false _let_352 false _let_268 false _let_349 true _let_348 true _let_347 true _let_346 true _let_345 true _let_344 true _let_343 true _let_275 true _let_342 true _let_274 false _let_232 false _let_237 false tptp.hskp28 false _let_341 false _let_285 false _let_282 false _let_265 true _let_329 true _let_330 false _let_331 false _let_335 false _let_334 true _let_333 true _let_328 true _let_327 true _let_326 true _let_325 true _let_324 true _let_262)))) (let ((_let_1066 (or _let_273 _let_272 _let_284))) (let ((_let_1067 (tptp.c3_1 tptp.a816))) (let ((_let_1068 (not _let_1067))) (let ((_let_1069 (or _let_719 _let_1068 _let_112))) (let ((_let_1070 (or _let_719 _let_115 _let_1067))) (let ((_let_1071 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_1072 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_1073 (not _let_1072))) (let ((_let_1074 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_1075 (not _let_1074))) (let ((_let_1076 (or _let_1075 _let_1073 _let_1071))) (let ((_let_1077 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_1078 (or _let_1073 _let_1077 _let_1071))) (let ((_let_1079 (not _let_1077))) (let ((_let_1080 (or _let_1079 _let_1075 _let_1073))) (let ((_let_1081 (not _let_324))) (let ((_let_1082 (_let_1081))) (let ((_let_1083 (REFL :args (_let_1076)))) (let ((_let_1084 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_268 (= U U)))))) (let ((_let_1085 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_266 (= U V)))))) (let ((_let_1086 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp3 _let_288 _let_315 _let_320))))) (let ((_let_1087 (ASSUME :args (_let_180)))) (let ((_let_1088 (ASSUME :args (_let_178)))) (let ((_let_1089 (REORDERING (ASSUME :args (_let_52)) :args ((or _let_49 _let_51))))) (let ((_let_1090 (REORDERING (CNF_OR_POS :args (_let_323)) :args ((or _let_50 _let_322 _let_321 (not _let_323)))))) (let ((_let_1091 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_823 :args (tptp.a798 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_822)) :args _let_821)))) (let ((_let_1092 (or _let_607 _let_604 _let_158))) (let ((_let_1093 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1092)) :args ((or _let_158 _let_607 _let_604 (not _let_1092)))) _let_648 _let_647 _let_646 _let_645 _let_461 _let_865 _let_875 _let_880 (MACRO_RESOLUTION_TRUST _let_904 _let_901 _let_643 _let_641 :args ((or _let_93 _let_900 _let_903) false _let_290 true _let_94 false _let_199)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_908 :args (tptp.a838 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_907)) :args _let_906)) _let_909 :args ((or tptp.hskp1 _let_288 _let_1025 _let_900 _let_874) true _let_158 false _let_217 false _let_219 false tptp.hskp21 true _let_423 true _let_275 true _let_370 false tptp.hskp22 true tptp.hskp11 false _let_1092 false _let_885)))) (let ((_let_1094 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_298 (= U U)))))) (let ((_let_1095 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp28 _let_288 _let_299 _let_305))))) (let ((_let_1096 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_306 (= U V)))))) (let ((_let_1097 (MACRO_RESOLUTION_TRUST _let_1090 _let_1089 _let_1088 _let_1087 _let_1086 _let_1091 _let_1085 _let_915 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_676 :args (tptp.a833 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_675)) :args _let_674)) _let_913 (REORDERING (CNF_OR_POS :args (_let_317)) :args ((or _let_154 _let_313 _let_312 (not _let_317)))) _let_890 _let_1084 _let_762 _let_717 (REORDERING (CNF_OR_NEG :args (_let_314 2)) :args ((or _let_752 _let_314))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_314 0)) (CONG (REFL :args _let_763) (MACRO_SR_PRED_INTRO :args ((= (not _let_313) _let_215))) :args _let_464)) :args ((or _let_215 _let_314))) _let_761 _let_764 _let_1021 _let_1024 _let_1020 _let_1096 _let_1095 _let_1027 _let_911 _let_1094 _let_1093 (MACRO_RESOLUTION_TRUST _let_894 _let_895 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_741 :args (tptp.a816 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 V) false))))) :args _let_740)) _let_896 (REORDERING (CNF_OR_POS :args (_let_1070)) :args ((or _let_115 _let_719 _let_1067 (not _let_1070)))) _let_545 (REORDERING (CNF_OR_POS :args (_let_1069)) :args ((or _let_112 _let_719 _let_1068 (not _let_1069)))) _let_541 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_908 :args (tptp.a816 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_907)) :args _let_906)) _let_540 _let_745 _let_744 _let_743 _let_911 _let_539 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp14 _let_288 _let_622 _let_486))) _let_913 _let_535 _let_688 _let_915 _let_531 _let_695 _let_1091 _let_507 _let_902 _let_1090 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_504 :args (tptp.a797 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_503)) :args _let_502)) _let_883 _let_694 _let_693 _let_1089 _let_1088 _let_1087 (REORDERING (CNF_OR_POS :args (_let_1066)) :args ((or _let_273 _let_272 _let_284 (not _let_1066)))) _let_651 _let_882 _let_1086 _let_1063 _let_649 _let_1085 _let_1064 _let_632 _let_677 _let_490 _let_681 _let_534 _let_533 _let_532 _let_489 _let_917 _let_530 _let_890 _let_528 _let_595 _let_1084 _let_918 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1080)) :args ((or _let_1075 _let_1073 _let_1079 (not _let_1080)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_566 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 V) false))))) :args _let_564)) (REORDERING (CNF_OR_POS :args (_let_1078)) :args ((or _let_1073 _let_1071 _let_1077 (not _let_1078)))) _let_583 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_664 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_810)) :args _let_663)) _let_483 _let_662 _let_708 _let_661 _let_842 _let_660 _let_981 _let_658 _let_841 _let_840 _let_654 _let_837 _let_652 _let_835 _let_582 _let_714 _let_713 _let_712 _let_702 _let_603 _let_601 _let_717 _let_716 _let_600 _let_715 _let_982 _let_1065 (CNF_OR_NEG :args (_let_1076 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1076 1)) (CONG _let_1083 (MACRO_SR_PRED_INTRO :args ((= (not _let_1073) _let_1072))) :args _let_464)) :args ((or _let_1072 _let_1076))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1076 0)) (CONG _let_1083 (MACRO_SR_PRED_INTRO :args ((= (not _let_1075) _let_1074))) :args _let_464)) :args ((or _let_1074 _let_1076))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1082)) :args _let_1082)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1081) _let_324))) (REFL :args ((not _let_1076))) :args _let_464)) _let_1058 _let_1057 :args ((or tptp.hskp12 _let_288 _let_423 _let_344 _let_276 _let_526 _let_429 _let_427 _let_425) false _let_1080 false _let_1077 false _let_477 false _let_1078 true _let_472 false _let_265 true _let_431 false _let_267 true _let_439 true tptp.hskp15 false _let_380 false _let_279 true _let_438 false _let_378 false _let_280 true _let_444 true _let_281 true _let_282 true _let_476 true _let_348 true _let_346 true _let_345 true _let_343 true tptp.hskp8 false _let_362 false _let_314 false _let_357 false _let_270 false _let_352 false _let_971 false _let_289 true _let_1071 false _let_1072 false _let_1074 true _let_1076 true _let_324 true _let_262)) _let_471 _let_470 _let_469 _let_467 _let_463 _let_462 _let_461 _let_864 _let_870 _let_869 _let_868 _let_867 _let_760 _let_758 _let_899 _let_1065 :args ((or _let_233 tptp.hskp12 _let_288) false _let_407 true _let_403 true _let_418 true _let_1070 true _let_416 true _let_1067 true _let_415 false _let_1069 true _let_413 true _let_112 true _let_115 false _let_207 false _let_298 false _let_511 false tptp.hskp14 false _let_300 false _let_306 true _let_622 true _let_318 false _let_509 true _let_628 true _let_319 true _let_488 false _let_626 true _let_323 true _let_486 true _let_609 true _let_610 false _let_611 true _let_50 false _let_177 false _let_179 true _let_1066 true _let_613 true _let_419 false tptp.hskp3 true _let_284 true _let_421 true _let_320 false _let_342 false _let_608 true _let_266 false _let_343 true _let_620 true _let_395 true _let_396 false _let_397 false _let_347 false tptp.hskp13 true _let_399 true _let_316 true _let_508 true _let_349 true _let_315 true _let_916 true _let_268 false _let_424 false _let_426 false _let_428 true _let_430 true _let_276 true _let_344 true _let_423 true _let_275 true _let_274 false _let_232 false _let_235 false _let_237 true tptp.hskp1 false _let_294 false _let_876 false _let_289)) _let_760 _let_873 _let_758 _let_898 _let_1065 :args ((or tptp.hskp12 _let_288) true _let_50 false _let_177 false _let_179 false tptp.hskp3 false _let_323 true _let_320 false _let_319 true _let_266 false _let_318 true _let_317 true _let_316 true _let_315 true _let_154 true _let_268 true _let_312 false _let_215 false tptp.hskp20 true _let_314 true _let_311 true _let_310 false _let_309 false _let_306 false _let_305 true _let_304 true _let_300 true _let_299 true _let_298 true tptp.hskp28 true tptp.hskp1 false _let_297 false _let_294 false _let_292 false _let_289)))) (let ((_let_1098 (or _let_261 _let_260 _let_573))) (let ((_let_1099 (or _let_261 _let_260 _let_101))) (let ((_let_1100 (or _let_261 _let_573 _let_101))) (let ((_let_1101 (REORDERING (CNF_OR_POS :args (_let_1099)) :args ((or _let_101 _let_261 _let_260 (not _let_1099)))))) (let ((_let_1102 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_504 :args (tptp.a809 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_503)) :args _let_502)))) (let ((_let_1103 (MACRO_RESOLUTION_TRUST _let_706 _let_704 _let_556 _let_555 _let_554 _let_558 _let_563 _let_703 _let_567 _let_583 _let_582 _let_632 _let_649 _let_651 _let_696 _let_701 _let_697 _let_690 _let_688 _let_687 _let_683 _let_682 _let_681 _let_677 _let_673 _let_670 _let_665 _let_662 _let_661 _let_660 _let_658 _let_654 _let_603 _let_601 _let_600 _let_599 _let_595 _let_594 _let_483 _let_506 _let_652 _let_507 _let_653 _let_592 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_500 :args (tptp.a809 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_499)) :args _let_498)) _let_1102 _let_588 (REORDERING (CNF_OR_POS :args (_let_1100)) :args ((or _let_101 _let_261 _let_573 (not _let_1100)))) _let_1101 _let_463 _let_461 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_863 :args (tptp.a809 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_862)) :args _let_861)) (REORDERING (CNF_OR_POS :args (_let_1098)) :args ((or _let_261 _let_260 _let_573 (not _let_1098)))) _let_587 :args ((or _let_101 _let_288 _let_261 _let_260 _let_422) true _let_473 true _let_80 false _let_195 false _let_197 false tptp.hskp9 true tptp.hskp29 false _let_482 false _let_479 false _let_477 true _let_476 true _let_343 true _let_608 false _let_421 false _let_613 false _let_629 false _let_450 true tptp.hskp4 false _let_628 false _let_625 false _let_622 false _let_621 true tptp.hskp13 false _let_620 false _let_266 false _let_618 false _let_617 false _let_265 false _let_267 true tptp.hskp15 false _let_279 false _let_280 true tptp.hskp8 false _let_362 false _let_270 false _let_475 false _let_268 false _let_349 true _let_472 true _let_487 true _let_281 true _let_488 true _let_614 true _let_431 true _let_282 true _let_486 true _let_574 true _let_1100 true _let_1099 true _let_276 true _let_423 true _let_275 true _let_1098 false _let_259)))) (let ((_let_1104 (REORDERING (CNF_OR_NEG :args (_let_262 2)) :args ((or _let_573 _let_262))))) (let ((_let_1105 (REORDERING (CNF_OR_POS :args (_let_264)) :args ((or _let_101 _let_261 _let_259 (not _let_264)))))) (let ((_let_1106 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_676 :args (tptp.a809 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_675)) :args _let_674)))) (let ((_let_1107 (MACRO_RESOLUTION_TRUST _let_1093 _let_760 _let_873 _let_758 _let_898 _let_911 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_289 (= U W)))) _let_913 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) _let_915 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_319 (= U U)))) _let_1091 _let_1090 _let_1089 _let_1088 _let_1087 _let_1086 _let_890 _let_1084 _let_1085 _let_1106 _let_1105 _let_1104 _let_1103 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_486 (= V V)))) _let_1102 _let_1101 _let_585 _let_584 _let_586 _let_1097 :args ((or _let_288 _let_268) true tptp.hskp1 false _let_297 false _let_294 false _let_292 false _let_298 false _let_289 false _let_300 false (forall ((W $$unsorted)) (or (not (tptp.c3_1 W)) (tptp.c0_1 W) (tptp.c2_1 W))) true _let_318 true (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (tptp.c3_1 U))) true _let_319 true _let_323 true _let_50 false _let_177 false _let_179 false tptp.hskp3 true _let_316 true _let_315 true _let_320 true _let_266 true _let_264 true _let_259 true _let_262 true (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c0_1 V))) true _let_486 true _let_1099 false _let_201 false _let_203 true _let_101 false tptp.hskp12)))) (let ((_let_1108 (or _let_290 _let_97 _let_94))) (let ((_let_1109 (or _let_330 _let_771 _let_329))) (let ((_let_1110 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_287)) :args ((or _let_272 _let_271 _let_286 (not _let_287)))) _let_1062 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_711 :args (tptp.a797 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_710)) :args _let_709)) _let_1059 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_283 (= U U)))) _let_652 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) _let_654 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_280 (= U V)))) _let_658 _let_660 _let_661 _let_463 _let_864 _let_870 _let_869 _let_868 _let_867 (MACRO_RESOLUTION_TRUST _let_1096 _let_784 _let_1095 _let_790 _let_1094 _let_793 _let_909 _let_798 _let_904 _let_799 _let_735 (REORDERING (CNF_OR_POS :args (_let_1108)) :args ((or _let_97 _let_94 _let_290 (not _let_1108)))) (REORDERING (CNF_OR_POS :args (_let_1109)) :args ((or _let_330 _let_329 _let_771 (not _let_1109)))) _let_980 _let_643 _let_642 _let_641 _let_782 _let_781 _let_780 _let_983 _let_879 _let_778 _let_919 _let_881 (MACRO_RESOLUTION_TRUST _let_1020 _let_1096 _let_1024 _let_1095 _let_1027 _let_1094 _let_1093 _let_1021 _let_760 _let_764 _let_873 _let_758 _let_898 _let_717 _let_1107 :args ((or tptp.hskp28 _let_288 _let_754) false _let_306 true _let_309 false _let_305 true _let_304 true _let_299 true _let_298 false _let_310 true tptp.hskp1 false _let_311 false _let_297 false _let_294 false _let_292 false _let_314 false _let_268)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_962 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_961)) :args _let_960)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_962 :args (tptp.a808 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_961)) :args _let_960)) _let_964 _let_965 _let_951 _let_950 _let_949 _let_948 _let_946 _let_947 _let_1010 _let_603 _let_600 _let_1107 _let_878 _let_1106 _let_1105 _let_1104 _let_984 _let_1058 _let_1103 _let_585 _let_584 _let_586 _let_1097 :args ((or tptp.hskp28 _let_288) true _let_306 false _let_305 true _let_769 true _let_299 true _let_770 true _let_298 true _let_446 true _let_885 true _let_773 false _let_341 false _let_290 false _let_771 false _let_282 true _let_94 true _let_97 false _let_199 true _let_329 true _let_330 false _let_331 false _let_335 false tptp.hskp11 true _let_333 true _let_328 true _let_326 true _let_289 false _let_1109 false _let_1108 false _let_930 false _let_931 true _let_923 true _let_416 true _let_922 true _let_84 true _let_87 true _let_90 false tptp.hskp10 true tptp.hskp8 false _let_270 false _let_268 true _let_417 true _let_266 true _let_264 true _let_259 true _let_325 true _let_324 true _let_262 false _let_201 false _let_203 true _let_101 false tptp.hskp12)) _let_603 _let_600 _let_1107 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_266 (= U W)))) _let_662 _let_1106 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_664 :args (tptp.a809 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_810)) :args _let_663)) _let_1105 (REORDERING (CNF_OR_POS :args (_let_263)) :args ((or _let_101 _let_260 _let_259 (not _let_263)))) _let_1104 _let_1103 _let_586 _let_585 _let_584 _let_1097 :args (_let_288 false _let_284 false _let_287 false _let_285 false _let_283 false _let_282 false (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)))) false _let_281 true (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 V))) true _let_280 true _let_279 false tptp.hskp15 true _let_276 true _let_275 true _let_274 false _let_232 false _let_235 false _let_237 false tptp.hskp28 true tptp.hskp8 false _let_270 false _let_268 true (forall ((W $$unsorted)) (or (not (tptp.c1_1 W)) (tptp.c0_1 W) (tptp.c3_1 W))) true _let_267 true _let_266 true _let_265 true _let_264 true _let_263 true _let_259 true _let_262 true _let_101 false _let_201 false _let_203 false tptp.hskp12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_1028 (REORDERING (ASSUME :args (_let_256)) :args ((or tptp.ndr1_0 _let_143))) (REORDERING (ASSUME :args (_let_257)) :args ((or tptp.ndr1_0 _let_233))) :args ((or tptp.hskp30 tptp.ndr1_0) true tptp.hskp19 true tptp.hskp28)) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_258)) :args ((or tptp.ndr1_0 _let_247))) _let_1110 :args (_let_247 true tptp.ndr1_0)) _let_1110 :args (false true tptp.hskp30 true tptp.ndr1_0)) :args (_let_258 (or _let_240 tptp.ndr1_0) _let_257 (or _let_226 tptp.ndr1_0) (or _let_174 tptp.ndr1_0) (or _let_173 tptp.ndr1_0) (or _let_172 tptp.ndr1_0) (or _let_165 tptp.ndr1_0) (or _let_161 tptp.ndr1_0) (or _let_157 tptp.ndr1_0) (or _let_150 tptp.ndr1_0) _let_256 (or _let_133 tptp.ndr1_0) (or _let_132 tptp.ndr1_0) (or _let_122 tptp.ndr1_0) (or _let_118 tptp.ndr1_0) (or _let_111 tptp.ndr1_0) (or _let_104 tptp.ndr1_0) (or _let_100 tptp.ndr1_0) (or _let_93 tptp.ndr1_0) (or _let_83 tptp.ndr1_0) (or _let_79 tptp.ndr1_0) (or _let_72 tptp.ndr1_0) (or _let_68 tptp.ndr1_0) (or _let_64 tptp.ndr1_0) (or _let_57 tptp.ndr1_0) (or _let_53 tptp.ndr1_0) (or _let_49 tptp.ndr1_0) (or _let_48 tptp.ndr1_0) (or _let_41 tptp.ndr1_0) (or _let_40 tptp.ndr1_0) _let_255 (or tptp.hskp9 tptp.hskp3 tptp.hskp26) (or tptp.hskp27 tptp.hskp21 tptp.hskp28) (or tptp.hskp4 tptp.hskp24 tptp.hskp5) (or tptp.hskp4 tptp.hskp26 tptp.hskp5) _let_254 _let_253 _let_252 _let_250 _let_248 _let_245 _let_243 _let_241 _let_238 _let_236 _let_234 _let_231 _let_229 _let_227 (or _let_174 (tptp.c2_1 tptp.a869)) (or _let_174 (tptp.c3_1 tptp.a869)) (or _let_173 (tptp.c1_1 tptp.a865)) (or _let_173 (tptp.c2_1 tptp.a865)) (or _let_172 (tptp.c0_1 tptp.a862)) (or _let_165 (tptp.c0_1 tptp.a856)) _let_224 _let_222 _let_220 _let_218 _let_216 _let_214 (or _let_132 (tptp.c0_1 tptp.a825)) (or _let_132 (tptp.c1_1 tptp.a825)) _let_212 _let_210 _let_208 _let_206 _let_204 _let_202 _let_200 _let_198 _let_196 _let_194 _let_192 _let_190 _let_188 _let_186 _let_184 _let_182 _let_180 _let_178 _let_176 (or _let_40 (tptp.c0_1 tptp.a793)) (or _let_40 (tptp.c2_1 tptp.a793)) (or (not (tptp.c0_1 tptp.a869)) _let_174) (or (not (tptp.c3_1 tptp.a865)) _let_173) (or (not (tptp.c1_1 tptp.a862)) _let_172) (or (not (tptp.c3_1 tptp.a862)) _let_172) _let_171 _let_168 _let_164 _let_160 _let_156 _let_153 _let_149 _let_146 _let_142 _let_139 _let_136 (or (not (tptp.c2_1 tptp.a825)) _let_132) _let_131 _let_128 _let_125 _let_121 _let_117 _let_114 _let_110 _let_107 _let_103 _let_99 _let_96 _let_92 _let_89 _let_86 _let_82 _let_78 _let_75 _let_71 _let_67 (or (not (tptp.c1_1 tptp.a802)) _let_64) _let_63 _let_60 _let_56 _let_52 (or (not (tptp.c0_1 tptp.a795)) _let_48) (or (not (tptp.c1_1 tptp.a795)) _let_48) (or (not (tptp.c3_1 tptp.a795)) _let_48) _let_47 _let_44 (or (not (tptp.c1_1 tptp.a793)) _let_40) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp1 tptp.hskp2)) _let_39 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp3 tptp.hskp4)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp9 tptp.hskp10)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp20 tptp.hskp2)) _let_38 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp1 tptp.hskp10)) _let_37 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp0 tptp.hskp5)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp13 tptp.hskp16)) _let_36 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp21 tptp.hskp18)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp0 tptp.hskp21)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp17 tptp.hskp8)) _let_35 _let_34 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp17 tptp.hskp0)) _let_33 _let_32 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp4 tptp.hskp28)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp9 tptp.hskp20)) _let_31 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp27 tptp.hskp3)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp14 tptp.hskp24)) _let_30 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp25 tptp.hskp1)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp30 tptp.hskp20)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp26 tptp.hskp11)) _let_29 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp27 tptp.hskp19)) _let_28 _let_27 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp0)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c0_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp5)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp4)) _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp14)) _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 V) tptp.hskp28)) _let_11 _let_10 _let_9 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c3_1 W))) _let_8 _let_7 _let_6 _let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (tptp.c3_1 U) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c3_1 W))) _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.75 )
% 0.21/0.76 % SZS output end Proof for SYN473-1
% 0.21/0.76 % cvc5---1.0.5 exiting
% 0.21/0.76 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------