TSTP Solution File: SYN461-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN461-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n031.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 02:03:23 EDT 2023

% Result   : Unsatisfiable 0.21s 0.70s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : SYN461-1 : TPTP v8.1.2. Released v2.1.0.
% 0.15/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n031.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 19:27:23 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.FxTKMZRvxT/cvc5---1.0.5_23654.p...
% 0.21/0.52  ------- get file name : TPTP file name is SYN461-1
% 0.21/0.52  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_23654.smt2...
% 0.21/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.70  % SZS status Unsatisfiable for SYN461-1
% 0.21/0.70  % SZS output start Proof for SYN461-1
% 0.21/0.72  (
% 0.21/0.72  (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (not (tptp.c1_1 W)) (not (tptp.c3_1 W)) (tptp.c3_1 U) (tptp.c3_1 V) (tptp.c0_1 W))))) (let ((_let_2 (forall ((U $$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.c3_1 V)) (not (tptp.c0_1 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c3_1 W))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c3_1 U) (tptp.c2_1 V) tptp.hskp25)))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_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.hskp12)))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) tptp.hskp17)))) (let ((_let_10 (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.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp11)))) (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)) (tptp.c1_1 V) (tptp.c2_1 V))))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp3)))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp3)))) (let ((_let_14 (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.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp10)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp6)))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp7)))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp4)))) (let ((_let_18 (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)))) (let ((_let_19 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp1)))) (let ((_let_20 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp0)))) (let ((_let_21 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp0)))) (let ((_let_22 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp13 tptp.hskp10)))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp22 tptp.hskp2)))) (let ((_let_24 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp22 tptp.hskp14)))) (let ((_let_25 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp26 tptp.hskp8)))) (let ((_let_26 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp19 tptp.hskp23)))) (let ((_let_27 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp9 tptp.hskp18)))) (let ((_let_28 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp22 tptp.hskp14)))) (let ((_let_29 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp22 tptp.hskp17)))) (let ((_let_30 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp0)))) (let ((_let_31 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp3 tptp.hskp6)))) (let ((_let_32 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp0 tptp.hskp3)))) (let ((_let_33 (not tptp.hskp0))) (let ((_let_34 (tptp.c2_1 tptp.a1168))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33))) (let ((_let_37 (not tptp.hskp1))) (let ((_let_38 (tptp.c3_1 tptp.a1169))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_37))) (let ((_let_41 (tptp.c2_1 tptp.a1169))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_37))) (let ((_let_44 (not tptp.hskp2))) (let ((_let_45 (tptp.c0_1 tptp.a1172))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_44))) (let ((_let_48 (not tptp.hskp3))) (let ((_let_49 (tptp.c3_1 tptp.a1174))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_48))) (let ((_let_52 (not tptp.hskp4))) (let ((_let_53 (tptp.c0_1 tptp.a1175))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_52))) (let ((_let_56 (not tptp.hskp5))) (let ((_let_57 (not tptp.hskp6))) (let ((_let_58 (tptp.c3_1 tptp.a1178))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_57))) (let ((_let_61 (not tptp.hskp7))) (let ((_let_62 (tptp.c3_1 tptp.a1179))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_63 _let_61))) (let ((_let_65 (tptp.c2_1 tptp.a1179))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_61))) (let ((_let_68 (tptp.c1_1 tptp.a1179))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_61))) (let ((_let_71 (not tptp.hskp8))) (let ((_let_72 (tptp.c3_1 tptp.a1180))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_71))) (let ((_let_75 (tptp.c0_1 tptp.a1180))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_71))) (let ((_let_78 (not tptp.hskp9))) (let ((_let_79 (tptp.c2_1 tptp.a1181))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_80 _let_78))) (let ((_let_82 (not tptp.hskp10))) (let ((_let_83 (tptp.c2_1 tptp.a1184))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_84 _let_82))) (let ((_let_86 (tptp.c1_1 tptp.a1184))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_82))) (let ((_let_89 (tptp.c0_1 tptp.a1184))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_90 _let_82))) (let ((_let_92 (not tptp.hskp11))) (let ((_let_93 (tptp.c3_1 tptp.a1186))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_94 _let_92))) (let ((_let_96 (tptp.c2_1 tptp.a1186))) (let ((_let_97 (not _let_96))) (let ((_let_98 (or _let_97 _let_92))) (let ((_let_99 (not tptp.hskp12))) (let ((_let_100 (tptp.c3_1 tptp.a1187))) (let ((_let_101 (not _let_100))) (let ((_let_102 (or _let_101 _let_99))) (let ((_let_103 (tptp.c2_1 tptp.a1187))) (let ((_let_104 (not _let_103))) (let ((_let_105 (or _let_104 _let_99))) (let ((_let_106 (tptp.c0_1 tptp.a1187))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_107 _let_99))) (let ((_let_109 (not tptp.hskp13))) (let ((_let_110 (tptp.c2_1 tptp.a1192))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_111 _let_109))) (let ((_let_113 (tptp.c0_1 tptp.a1192))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_114 _let_109))) (let ((_let_116 (not tptp.hskp14))) (let ((_let_117 (tptp.c1_1 tptp.a1194))) (let ((_let_118 (not _let_117))) (let ((_let_119 (or _let_118 _let_116))) (let ((_let_120 (tptp.c0_1 tptp.a1194))) (let ((_let_121 (not _let_120))) (let ((_let_122 (or _let_121 _let_116))) (let ((_let_123 (not tptp.hskp15))) (let ((_let_124 (not tptp.hskp16))) (let ((_let_125 (tptp.c3_1 tptp.a1199))) (let ((_let_126 (not _let_125))) (let ((_let_127 (or _let_126 _let_124))) (let ((_let_128 (tptp.c0_1 tptp.a1199))) (let ((_let_129 (not _let_128))) (let ((_let_130 (or _let_129 _let_124))) (let ((_let_131 (not tptp.hskp17))) (let ((_let_132 (tptp.c2_1 tptp.a1200))) (let ((_let_133 (not _let_132))) (let ((_let_134 (or _let_133 _let_131))) (let ((_let_135 (tptp.c1_1 tptp.a1200))) (let ((_let_136 (not _let_135))) (let ((_let_137 (or _let_136 _let_131))) (let ((_let_138 (not tptp.hskp18))) (let ((_let_139 (tptp.c0_1 tptp.a1202))) (let ((_let_140 (not _let_139))) (let ((_let_141 (or _let_140 _let_138))) (let ((_let_142 (not tptp.hskp19))) (let ((_let_143 (tptp.c2_1 tptp.a1204))) (let ((_let_144 (not _let_143))) (let ((_let_145 (or _let_144 _let_142))) (let ((_let_146 (tptp.c1_1 tptp.a1204))) (let ((_let_147 (not _let_146))) (let ((_let_148 (or _let_147 _let_142))) (let ((_let_149 (not tptp.hskp20))) (let ((_let_150 (not tptp.hskp21))) (let ((_let_151 (tptp.c1_1 tptp.a1207))) (let ((_let_152 (not _let_151))) (let ((_let_153 (or _let_152 _let_150))) (let ((_let_154 (not tptp.hskp22))) (let ((_let_155 (tptp.c1_1 tptp.a1211))) (let ((_let_156 (not _let_155))) (let ((_let_157 (or _let_156 _let_154))) (let ((_let_158 (not tptp.hskp23))) (let ((_let_159 (tptp.c3_1 tptp.a1218))) (let ((_let_160 (not _let_159))) (let ((_let_161 (or _let_160 _let_158))) (let ((_let_162 (tptp.c1_1 tptp.a1218))) (let ((_let_163 (not _let_162))) (let ((_let_164 (or _let_163 _let_158))) (let ((_let_165 (tptp.c0_1 tptp.a1218))) (let ((_let_166 (not _let_165))) (let ((_let_167 (or _let_166 _let_158))) (let ((_let_168 (not tptp.hskp24))) (let ((_let_169 (tptp.c1_1 tptp.a1168))) (let ((_let_170 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SBA_FIXPOINT))) :args ((or tptp.hskp22 tptp.hskp14 _let_296 _let_484))))) (let ((_let_782 (REORDERING (CNF_OR_NEG :args (_let_776 2)) :args ((or _let_679 _let_776))))) (let ((_let_783 (not _let_776))) (let ((_let_784 (_let_299))) (let ((_let_785 (MACRO_RESOLUTION_TRUST _let_732 _let_730 _let_731 _let_725 _let_729 _let_723 _let_724 (REORDERING (CNF_OR_POS :args (_let_776)) :args ((or _let_201 _let_120 _let_117 _let_783))) (REORDERING (CNF_OR_POS :args _let_784) :args ((or _let_121 _let_117 _let_298 _let_774))) :args ((or _let_117 _let_296 _let_675 _let_783 _let_298 _let_774) true _let_684 true _let_685 true _let_682 true _let_683 true _let_680 true _let_681 false _let_201 true _let_120)))) (let ((_let_786 (not _let_319))) (let ((_let_787 (REORDERING (CNF_OR_POS :args (_let_319)) :args ((or _let_305 _let_304 _let_313 _let_786))))) (let ((_let_788 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_367 :args (tptp.a1174 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_366)) :args _let_365)))) (let ((_let_789 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_289 (= U V)))))) (let ((_let_790 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp25 _let_296 _let_308 _let_322))))) (let ((_let_791 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_626 :args (tptp.a1182 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_625)) :args _let_624)))) (let ((_let_792 (ASSUME :args (_let_225)))) (let ((_let_793 (ASSUME :args (_let_223)))) (let ((_let_794 (REORDERING (CNF_OR_POS :args (_let_337)) :args ((or _let_336 _let_335 _let_334 (not _let_337)))))) (let ((_let_795 (REORDERING (CNF_OR_POS :args (_let_342)) :args ((or _let_336 _let_335 _let_341 (not _let_342)))))) (let ((_let_796 ((not (= (tptp.c2_1 U) false))))) (let ((_let_797 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_403 :args (tptp.a1182 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_796)) :args _let_401)))) (let ((_let_798 (MACRO_RESOLUTION_TRUST _let_623 _let_622 _let_621 _let_620 _let_619 _let_797 _let_795 _let_794 _let_793 _let_792 _let_627 _let_791 _let_790 _let_639 _let_789 _let_768 _let_788 _let_767 _let_787 _let_766 _let_779 _let_765 _let_780 :args ((or tptp.hskp22 _let_49 _let_296 _let_308 _let_331 _let_305 _let_304 (not _let_484) _let_464 _let_462) true _let_45 false _let_175 false _let_177 false tptp.hskp2 true _let_343 true _let_342 false _let_334 false _let_221 false _let_224 false _let_340 false _let_337 false tptp.hskp25 false _let_333 true _let_322 true _let_332 true _let_289 true _let_492 true _let_319 true _let_488 true _let_313 false _let_490 false _let_775)))) (let ((_let_799 (or _let_679 _let_120 _let_297))) (let ((_let_800 (MACRO_RESOLUTION_TRUST _let_623 _let_622 _let_621 _let_620 _let_619 _let_797 _let_795 _let_794 _let_793 _let_792 _let_790 _let_789 _let_627 _let_791 _let_368 _let_639 _let_734 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_644 :args (tptp.a1194 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_643)) :args _let_642)) _let_700 (REORDERING (CNF_OR_POS :args (_let_799)) :args ((or _let_120 _let_679 _let_297 (not _let_799)))) _let_725 _let_785 _let_723 _let_782 :args ((or tptp.hskp22 _let_120 _let_117 _let_296 _let_697 _let_308 _let_331 _let_675 _let_679 _let_774) true _let_45 false _let_175 false _let_177 false tptp.hskp2 true _let_343 true _let_342 false _let_334 false _let_221 false _let_224 false tptp.hskp25 true _let_322 false _let_340 false _let_337 true _let_289 false _let_333 true _let_288 true _let_332 false tptp.hskp0 true _let_799 true _let_682 true _let_297 true _let_680 false _let_776)))) (let ((_let_801 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_568 :args (tptp.a1174 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_567)) :args _let_566)))) (let ((_let_802 (not _let_315))) (let ((_let_803 (REORDERING (CNF_OR_POS :args (_let_315)) :args ((or _let_49 _let_304 _let_314 _let_802))))) (let ((_let_804 (MACRO_RESOLUTION_TRUST _let_803 _let_787 _let_558 _let_557 _let_556 :args ((or _let_48 _let_802 _let_786) false _let_313 true _let_49 false _let_179 false _let_181)))) (let ((_let_805 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp6 _let_296 _let_289 _let_321))))) (let ((_let_806 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_324 (= U V)))))) (let ((_let_807 (MACRO_RESOLUTION_TRUST _let_623 _let_622 _let_621 _let_620 _let_619 _let_797 _let_795 _let_794 _let_627 _let_791 _let_639 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_644 :args (tptp.a1218 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_643)) :args _let_642)) _let_634 (REORDERING (CNF_OR_POS :args (_let_330)) :args ((or _let_165 _let_159 _let_329 (not _let_330)))) _let_708 (REORDERING (CNF_OR_POS :args (_let_326)) :args ((or _let_162 _let_159 _let_325 (not _let_326)))) _let_713 _let_712 _let_711 _let_710 _let_793 _let_792 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_535 :args (tptp.a1218 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_534)) :args _let_533)) _let_714 _let_790 _let_806 _let_777 _let_789 _let_805 _let_778 _let_788 _let_565 _let_803 _let_804 _let_569 _let_801 (MACRO_RESOLUTION_TRUST _let_800 _let_721 _let_720 _let_719 _let_781 _let_798 _let_634 _let_699 (MACRO_RESOLUTION_TRUST _let_785 _let_722 _let_782 _let_721 _let_720 _let_719 _let_781 _let_780 _let_779 _let_778 _let_777 _let_714 _let_713 _let_708 _let_707 :args ((or tptp.hskp22 tptp.hskp19 _let_49 _let_296 _let_675 _let_305 _let_304 _let_636 _let_774) false _let_297 false _let_776 true _let_117 true _let_120 false _let_201 false tptp.hskp14 true _let_484 true _let_775 false _let_313 false _let_320 false _let_323 true tptp.hskp23 false _let_327 false _let_677)) _let_601 _let_671 _let_612 _let_687 :args ((or tptp.hskp22 tptp.hskp19 _let_49 _let_296 _let_308 _let_312 _let_305 _let_304 _let_774) true _let_117 true _let_120 false _let_201 false tptp.hskp14 true _let_484 true _let_331 true _let_697 true _let_328 true _let_462 false _let_463 true _let_467 true _let_675)) _let_773 (MACRO_RESOLUTION_TRUST _let_695 _let_770 _let_693 _let_692 _let_691 :args ((or _let_142 _let_694 _let_769) true _let_301 true _let_143 true _let_146 false _let_211)) _let_672 _let_543 _let_550 _let_771 _let_554 _let_560 _let_558 _let_557 _let_556 (MACRO_RESOLUTION_TRUST _let_695 _let_770 _let_693 _let_692 _let_691 _let_714 _let_713 _let_708 _let_634 _let_639 _let_768 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_717 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_716)) :args _let_715)) _let_767 (REORDERING (CNF_OR_POS :args (_let_491)) :args ((or _let_476 _let_474 _let_485 (not _let_491)))) _let_766 (REORDERING (CNF_OR_POS :args (_let_487)) :args ((or _let_478 _let_474 _let_486 (not _let_487)))) _let_765 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_764 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_763)) :args _let_762)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_484 (= U V)))) (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_626 :args (tptp.a1202 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 U) false))))) :args _let_624)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_381 (= U W)))) (REORDERING (CNF_OR_POS :args (_let_483)) :args ((or _let_139 _let_457 _let_482 (not _let_483)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_423 :args (tptp.a1202 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_422)) :args _let_421)) (REORDERING (CNF_OR_POS :args (_let_459)) :args ((or _let_458 _let_457 _let_456 (not _let_459)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_481)) :args ((or _let_139 _let_458 _let_457 _let_761))) _let_760 _let_759 _let_758 :args ((or _let_138 _let_761) true _let_139 false _let_207 false _let_209)) _let_760 _let_759 _let_758 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp18 tptp.hskp9 _let_296 _let_480))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_461)) :args ((or _let_79 _let_438 _let_460 _let_756))) (REORDERING (CNF_OR_POS :args (_let_440)) :args ((or _let_439 _let_438 _let_437 _let_757))) (REORDERING (ASSUME :args (_let_81)) :args ((or _let_78 _let_80))) (ASSUME :args (_let_194)) (ASSUME :args (_let_196)) :args ((or _let_78 _let_757 _let_756) false _let_437 true _let_79 false _let_193 false _let_195)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_269 (= U U)))) _let_755 (CNF_OR_NEG :args (_let_479 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_479 1)) (CONG _let_751 (MACRO_SR_PRED_INTRO :args ((= (not _let_476) _let_475))) :args _let_353)) :args ((or _let_475 _let_479))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_479 0)) (CONG _let_751 (MACRO_SR_PRED_INTRO :args ((= (not _let_478) _let_477))) :args _let_353)) :args ((or _let_477 _let_479))) _let_750 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_748)) :args _let_748)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_743) _let_307))) (REFL :args ((not _let_479))) :args _let_353)) _let_746 _let_747 _let_741 _let_740 _let_739 _let_737 _let_368 _let_734 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_629)) :args ((or _let_470 _let_628 _let_471 _let_635))) (REORDERING (CNF_OR_POS :args (_let_473)) :args ((or _let_470 _let_472 _let_469 _let_674))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_649 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_648)) :args _let_647)) (CNF_OR_NEG :args (_let_673 2)) (REORDERING (CNF_OR_NEG :args (_let_673 1)) :args ((or (not _let_628) _let_673))) (REORDERING (CNF_OR_NEG :args (_let_673 0)) :args ((or (not _let_470) _let_673))) _let_733 (MACRO_RESOLUTION_TRUST _let_732 _let_731 _let_730 _let_729 _let_725 _let_724 _let_723 _let_722 _let_721 _let_720 _let_719 (REORDERING (ASSUME :args (_let_243)) :args ((or tptp.hskp14 tptp.hskp1 tptp.hskp0))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_678)) :args ((or _let_41 _let_38 _let_515 _let_718))) _let_663 _let_662 _let_661 :args ((or _let_37 _let_718) true _let_38 true _let_41 false _let_173)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_717 :args (tptp.a1169 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_716)) :args _let_715)) _let_714 _let_713 _let_708 _let_707 (MACRO_RESOLUTION_TRUST _let_706 (REORDERING (CNF_OR_POS :args (_let_673)) :args ((or _let_470 _let_628 _let_469 _let_686))) _let_705 _let_701 _let_640 _let_700 _let_638 _let_699 :args ((or tptp.hskp0 _let_296 _let_328 _let_686) false _let_469 false _let_698 true _let_628 true _let_470 false _let_682 true _let_629 true _let_697)) _let_696 _let_688 _let_360 _let_687 :args ((or tptp.hskp0 _let_296 _let_312 _let_686) true _let_685 true _let_684 true _let_683 true _let_682 true _let_681 true _let_680 false _let_297 true _let_117 true _let_120 false _let_201 false tptp.hskp14 true tptp.hskp1 false _let_678 false _let_323 true tptp.hskp23 false _let_327 false _let_677 false _let_328 true tptp.hskp19 false _let_676 false _let_257 true _let_675)) :args ((or tptp.hskp3 tptp.hskp0 _let_296 _let_312 _let_674) true _let_471 false _let_629 true _let_469 true _let_628 true _let_470 false _let_328 true _let_673)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_541 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_540)) :args _let_539)) _let_672 _let_549 _let_601 _let_671 _let_600 _let_582 _let_612 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_312 (= U U)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_420 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_419)) :args _let_418)) _let_561 (REORDERING (CNF_OR_POS :args (_let_670)) :args ((or _let_443 _let_442 _let_667 (not _let_670)))) _let_565 (REORDERING (CNF_OR_POS :args (_let_669)) :args ((or _let_445 _let_442 _let_668 (not _let_669)))) _let_569 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_568 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_567)) :args _let_566)) :args ((or tptp.hskp3 _let_296 _let_610 _let_445 _let_443 _let_442) false _let_270 true _let_670 true tptp.hskp6 true _let_667 false _let_318 false _let_669)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_584 :args (tptp.a1181 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_605)) :args _let_583)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_584 :args (tptp.a1202 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_605)) :args _let_583)) _let_666 _let_585 _let_588 (CNF_OR_NEG :args (_let_446 2)) (CNF_OR_NEG :args (_let_446 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_446 0)) (CONG (REFL :args (_let_446)) (MACRO_SR_PRED_INTRO :args ((= (not _let_445) _let_444))) :args _let_353)) :args ((or _let_444 _let_446))) _let_586 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_665)) :args _let_665)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_522) _let_441))) (REFL :args ((not _let_446))) :args _let_353)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_516)) :args ((or _let_38 _let_515 _let_277 (not _let_516)))) _let_664 _let_663 _let_662 _let_661 _let_660 _let_659 _let_657 _let_656 _let_653 _let_650 _let_646 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_553 :args (tptp.a1169 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_552)) :args _let_551)) _let_627 _let_623 _let_622 _let_621 _let_620 _let_619 _let_618 _let_613 _let_612 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_559 _let_558 _let_557 _let_556 _let_586 _let_609 _let_608 _let_607 _let_554 _let_606 _let_550 _let_543 _let_588 _let_542 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_584 :args (tptp.a1192 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_605)) :args _let_583)) _let_536 (REORDERING (CNF_OR_POS :args (_let_602)) :args ((or _let_110 _let_377 _let_376 (not _let_602)))) :args ((or tptp.hskp10 _let_113 _let_110 _let_296 _let_377 _let_376 _let_466 _let_462) true _let_49 false _let_179 false _let_181 false tptp.hskp3 true _let_441 true _let_604 true _let_488 false _let_306 false _let_603 false _let_307 true _let_309 true _let_447 true _let_310 true _let_448 true _let_504 true _let_602)) _let_601 _let_600 :args ((or tptp.hskp10 _let_113 _let_110 _let_296 _let_377 _let_376 _let_467) true _let_462 false _let_465)) _let_598 _let_426 _let_597 _let_427 _let_592 _let_591 (MACRO_RESOLUTION_TRUST _let_432 _let_430 _let_429 _let_428 :args ((or _let_99 _let_431) true _let_100 true _let_103 true _let_106)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_257 (= U U)))) _let_590 _let_433 _let_589 _let_550 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp7 _let_296 _let_507 _let_506))) (MACRO_RESOLUTION_TRUST _let_588 _let_586 _let_585 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_525 :args (tptp.a1178 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_524)) :args _let_523)) _let_582 (REORDERING (CNF_OR_POS :args (_let_547)) :args ((or _let_58 _let_317 _let_544 (not _let_547)))) _let_569 (REORDERING (CNF_OR_POS :args (_let_546)) :args ((or _let_58 _let_317 _let_545 (not _let_546)))) _let_565 _let_563 _let_562 _let_561 _let_560 _let_554 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_553 :args (tptp.a1178 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_552)) :args _let_551)) _let_550 _let_549 _let_543 :args ((or tptp.hskp10 _let_296 _let_270 _let_310) false _let_447 true _let_448 true _let_441 true _let_454 true _let_547 true _let_312 true _let_544 true _let_318 true _let_58 false _let_189 false tptp.hskp6 true tptp.hskp3 false _let_306 false _let_546 false _let_307 true _let_468 true _let_309)) _let_543 _let_425 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_505 (= U V)))) _let_542 _let_424 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_503)) :args ((or _let_68 _let_65 _let_62 _let_538))) (REORDERING (ASSUME :args (_let_64)) :args ((or _let_61 _let_63))) (REORDERING (ASSUME :args (_let_67)) :args ((or _let_61 _let_66))) (REORDERING (ASSUME :args (_let_70)) :args ((or _let_61 _let_69))) :args ((or _let_61 _let_538) true _let_62 true _let_65 true _let_68)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_537) :args (tptp.a1192 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(INSTANTIATE _let_389 :args (tptp.a1181 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_388)) :args _let_387)) _let_436 _let_434 :args ((or tptp.hskp10 tptp.hskp3 _let_296) true _let_301 true _let_143 true _let_146 false _let_211 false tptp.hskp19 true tptp.hskp23 false _let_327 false _let_328 false _let_331 true _let_332 true _let_323 true _let_492 true _let_491 true _let_488 true _let_485 false _let_490 false _let_487 false _let_484 false (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c3_1 V))) true _let_333 true (forall ((W $$unsorted)) (or (not (tptp.c1_1 W)) (not (tptp.c3_1 W)) (tptp.c0_1 W))) true _let_483 true _let_381 false _let_456 true _let_481 true _let_139 false _let_207 false _let_209 false tptp.hskp18 true tptp.hskp9 true _let_480 true _let_269 true _let_474 false _let_475 false _let_477 true _let_275 true _let_479 true _let_271 true _let_307 true _let_272 false _let_290 false _let_273 true _let_292 true _let_289 true _let_288 false tptp.hskp0 false 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((_let_831 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_830)) :args _let_830)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_829) _let_248))) (REFL :args ((not _let_817))) :args _let_353)))) (let ((_let_832 (CNF_OR_NEG :args (_let_817 0)))) (let ((_let_833 (CNF_OR_NEG :args (_let_817 2)))) (let ((_let_834 (CNF_OR_NEG :args (_let_817 1)))) (let ((_let_835 (or _let_816 _let_814 _let_819))) (let ((_let_836 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_837 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_838 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_839 (or _let_838 _let_837 _let_836))) (let ((_let_840 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_841 (REORDERING (EQUIV_ELIM1 _let_633) :args ((or _let_331 _let_636))))) (let ((_let_842 (tptp.c3_1 tptp.a1175))) (let ((_let_843 (not _let_842))) (let ((_let_844 (not _let_183))) (let ((_let_845 (or _let_844 _let_843 _let_53))) (let ((_let_846 (or _let_628 _let_469 _let_471))) (let ((_let_847 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V))))) (let ((_let_848 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (tptp.c3_1 U))))) (let ((_let_849 (MACRO_RESOLUTION_TRUST _let_779 _let_780 _let_787 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_484 (= U U)))) _let_558 _let_557 _let_556 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp0 _let_296 _let_848 _let_847))) _let_733 _let_734 _let_368 _let_788 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_248 (= V V)))) _let_813 _let_812 _let_807 :args ((or _let_296 _let_328 _let_735) false _let_775 false _let_313 false _let_484 true _let_49 false _let_179 false _let_181 false _let_848 false tptp.hskp3 true tptp.hskp0 false _let_288 false _let_319 true _let_847 true _let_248 true _let_247 false tptp.hskp10)))) (let ((_let_850 (not _let_185))) (let ((_let_851 (or _let_850 _let_844 _let_842))) (let ((_let_852 (not _let_845))) (let ((_let_853 (not _let_851))) (let ((_let_854 (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (tptp.c0_1 V) (tptp.c1_1 V))))) (let ((_let_855 (or _let_821 _let_816 _let_815))) (let ((_let_856 (or _let_815 _let_814 _let_819))) (let ((_let_857 (REORDERING (CNF_OR_POS :args (_let_846)) :args ((or _let_628 _let_471 _let_469 (not _let_846)))))) (let ((_let_858 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_535 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_534)) :args _let_533)))) (let ((_let_859 (MACRO_RESOLUTION_TRUST _let_857 _let_858 (CNF_OR_NEG :args (_let_508 1)) _let_806 _let_646 _let_805 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_626 :args (tptp.a1175 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_625)) :args _let_624)) _let_565 (MACRO_RESOLUTION_TRUST _let_788 _let_804 _let_805 _let_561 _let_806 _let_590 _let_858 _let_645 _let_857 _let_706 _let_705 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE 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_let_816 true _let_814 true _let_815 true _let_817 true _let_248 true _let_247 false tptp.hskp10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_845)) :args ((or _let_53 _let_844 _let_843 _let_852))) (REORDERING (CNF_OR_POS :args (_let_851)) :args ((or _let_850 _let_844 _let_842 _let_853))) (REORDERING (ASSUME :args (_let_55)) :args ((or _let_52 _let_54))) (ASSUME :args (_let_184)) (ASSUME :args (_let_186)) :args ((or _let_52 _let_853 _let_852) false _let_842 true _let_53 false _let_183 false _let_185)) _let_565 _let_569 _let_801 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_568 :args (tptp.a1175 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_567)) :args _let_566)) :args ((or _let_296 _let_697 _let_610 _let_470 _let_628 _let_471 _let_852) true _let_319 false _let_289 false tptp.hskp3 true _let_321 true _let_270 true _let_324 true _let_508 true _let_846 true _let_469 false _let_698 false _let_682 true tptp.hskp4 true tptp.hskp6 false _let_318 false _let_315 false _let_851)) _let_569 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_let_419)) :args _let_418)))) (let ((_let_866 (not _let_270))) (let ((_let_867 (_let_866))) (let ((_let_868 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_867)) :args _let_867)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_866) _let_270))) (REFL :args ((not _let_839))) :args _let_353)))) (let ((_let_869 (CNF_OR_NEG :args (_let_839 1)))) (let ((_let_870 (CNF_OR_NEG :args (_let_839 2)))) (let ((_let_871 (CNF_OR_NEG :args (_let_839 0)))) (let ((_let_872 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_873 (not _let_872))) (let ((_let_874 (or _let_873 _let_838 _let_836))) (let ((_let_875 (or _let_872 _let_837 _let_836))) (let ((_let_876 (not _let_213))) (let ((_let_877 (not _let_215))) (let ((_let_878 (tptp.c0_1 tptp.a1207))) (let ((_let_879 (not _let_878))) (let ((_let_880 (or _let_879 _let_877 _let_876))) (let ((_let_881 (not _let_226))) (let ((_let_882 (not _let_229))) (let ((_let_883 (not _let_231))) (let ((_let_884 (or _let_883 _let_882 _let_881))) (let ((_let_885 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_886 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (tptp.c1_1 V) (tptp.c2_1 V))))) (let ((_let_887 (or _let_877 _let_878 _let_151))) (let ((_let_888 (or _let_876 _let_878 _let_151))) (let ((_let_889 (_let_885))) (let ((_let_890 ((not (= (tptp.c0_1 U) false))))) (let ((_let_891 (ASSUME :args _let_889))) (let ((_let_892 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_893 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_257 (= U V)))))) (let ((_let_894 (MACRO_RESOLUTION_TRUST _let_732 _let_731 _let_730 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_728 :args (tptp.a1207 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_727)) :args _let_726)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_704 :args (tptp.a1207 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_703)) :args _let_702)) (REORDERING (CNF_OR_POS :args (_let_888)) :args ((or _let_151 _let_876 _let_878 (not _let_888)))) (REORDERING (CNF_OR_POS :args (_let_887)) :args ((or _let_151 _let_877 _let_878 (not _let_887)))) (REORDERING (CNF_OR_POS :args (_let_880)) :args ((or _let_877 _let_876 _let_879 (not _let_880)))) (REORDERING (ASSUME :args (_let_153)) :args ((or _let_150 _let_152))) (ASSUME :args (_let_214)) (ASSUME :args (_let_216)) (ASSUME :args (_let_241)) _let_696 _let_688 _let_893 _let_892 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_891 :args (tptp.a1190 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_890)) :args _let_889)) (REORDERING (CNF_OR_POS :args (_let_884)) :args ((or _let_883 _let_882 _let_881 (not _let_884)))) (ASSUME :args (_let_228)) (ASSUME :args (_let_230)) (ASSUME :args (_let_232)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp8 tptp.hskp26 _let_296 _let_448))) _let_528 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_403 :args (tptp.a1207 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_796)) :args _let_401)) _let_530 _let_531 _let_532 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_535 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 U) true))))) :args _let_533)) (REORDERING (CNF_OR_POS :args (_let_875)) :args ((or _let_837 _let_836 _let_872 (not _let_875)))) (REORDERING (CNF_OR_POS :args (_let_874)) :args ((or _let_838 _let_836 _let_873 (not _let_874)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_525 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_524)) :args _let_523)) _let_526 _let_586 (REORDERING (EQUIV_ELIM1 _let_587) :args ((or _let_447 (not _let_448)))) _let_687 :args ((or tptp.hskp3 _let_296 _let_447 _let_312 _let_838 _let_837 _let_836) true _let_685 true _let_684 true _let_683 true _let_682 true _let_888 true _let_887 true _let_878 true _let_151 false _let_213 false _let_215 false tptp.hskp21 true tptp.hskp19 false _let_676 false _let_257 false _let_886 true _let_885 true _let_884 false _let_226 false _let_229 false _let_231 false tptp.hskp26 true tptp.hskp8 false _let_880 false _let_343 false _let_500 true _let_501 true _let_324 true _let_875 true _let_872 false _let_874 false _let_494 false _let_441 true _let_448 true _let_675)))) (let ((_let_895 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_299 0)) (CONG (REFL :args _let_784) (MACRO_SR_PRED_INTRO :args ((= (not _let_121) _let_120))) :args _let_353)) :args ((or _let_120 _let_299))))) (let ((_let_896 (or _let_305 _let_304 _let_50))) (let ((_let_897 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp22 tptp.hskp17 _let_296 _let_269))))) (let ((_let_898 (REORDERING (CNF_OR_POS :args (_let_283)) :args ((or _let_86 _let_83 _let_282 (not _let_283)))))) (let ((_let_899 (_let_284))) (let ((_let_900 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_899) :args (tptp.a1184 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 U) false))))) :args _let_899)))) (let ((_let_901 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_284 (= U U)))))) (let ((_let_902 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp0 _let_296 _let_285 _let_248))))) (let ((_let_903 (not _let_824))) (let ((_let_904 (or _let_260 _let_903 _let_135))) (let ((_let_905 (not _let_825))) (let ((_let_906 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_754 :args (tptp.a1169 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_753)) :args _let_752)))) (let ((_let_907 (REORDERING (CNF_OR_POS :args (_let_278)) :args ((or _let_41 _let_38 _let_277 (not _let_278)))))) (let ((_let_908 (not _let_294))) (let ((_let_909 (_let_295))) (let ((_let_910 (MACRO_RESOLUTION_TRUST _let_907 _let_664 _let_663 _let_662 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp1 _let_296 _let_295 _let_249))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_909) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_909)) (MACRO_RESOLUTION_TRUST _let_750 (REORDERING (CNF_OR_POS :args (_let_294)) :args ((or _let_274 _let_272 _let_293 _let_908))) _let_741 _let_739 :args ((or _let_292 _let_908 _let_749) true _let_271 true _let_272 false _let_273)) _let_737 _let_368 _let_734 _let_902 _let_901 _let_900 _let_898 (REORDERING (CNF_OR_POS :args (_let_281)) :args ((or _let_89 _let_83 _let_280 (not _let_281)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_420 :args (tptp.a1184 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_419)) :args _let_418)) _let_589 _let_906 _let_755 _let_417 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_269 (= U U)))) _let_415 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp17 _let_296 _let_267 _let_265))) _let_411 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_264 (= U V)))) _let_598 _let_597 _let_618 _let_592 _let_591 _let_374 _let_371 _let_352 _let_391 _let_435 _let_773 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_827)) :args ((or _let_96 _let_93 _let_826 (not _let_827)))) (REORDERING (ASSUME :args (_let_95)) :args ((or _let_92 _let_94))) (REORDERING (ASSUME :args (_let_98)) :args ((or _let_92 _let_97))) (ASSUME :args (_let_198)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp11 _let_296 _let_828 _let_823))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_307 (= U U)))) _let_554 _let_560 _let_561 _let_589 _let_664 _let_907 _let_663 _let_662 _let_906 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_754 :args (tptp.a1186 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_753)) :args _let_752)) _let_660 _let_897 (MACRO_RESOLUTION_TRUST _let_352 _let_359 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_389 :args (tptp.a1200 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_388)) :args _let_387)) _let_374 (REORDERING (CNF_OR_POS :args (_let_904)) :args ((or _let_135 _let_260 _let_903 (not _let_904)))) _let_592 (REORDERING (CNF_OR_POS :args (_let_825)) :args ((or _let_135 _let_132 _let_824 _let_905))) _let_597 _let_596 _let_595 _let_594 :args ((or _let_131 _let_296 _let_357 _let_905) false _let_255 true _let_253 true _let_256 true _let_904 true _let_257 false _let_824 true _let_261 true _let_132 true _let_135 false _let_205)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_535 :args (tptp.a1200 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_534)) :args _let_533)) _let_659 _let_806 _let_657 _let_805 _let_656 _let_361 _let_565 _let_653 _let_368 _let_569 _let_613 _let_734 _let_576 _let_902 _let_549 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_284 (= U V)))) _let_901 _let_860 _let_900 _let_863 _let_898 (REORDERING (CNF_OR_POS :args (_let_820)) :args ((or _let_816 _let_815 _let_819 (not _let_820)))) (REORDERING (CNF_OR_POS :args (_let_818)) :args ((or _let_89 _let_86 _let_280 (not _let_818)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_649 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_648)) :args _let_647)) _let_650 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_649 :args (tptp.a1184 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_648)) :args _let_647)) _let_634 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_897 _let_755 _let_597 _let_750 _let_592 _let_746 _let_893 _let_666 _let_892 _let_588 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_891 :args (tptp.a1174 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_890)) :args _let_889)) _let_894 (REORDERING (CNF_OR_POS :args (_let_896)) :args ((or _let_50 _let_305 _let_304 (not _let_896)))) _let_558 (MACRO_RESOLUTION_TRUST _let_771 _let_554 (MACRO_RESOLUTION_TRUST _let_800 _let_895 _let_721 _let_720 _let_719 _let_781 _let_798 _let_601 _let_671 _let_612 _let_687 _let_699 _let_841 :args ((or tptp.hskp22 _let_49 _let_296 _let_308 _let_312 _let_331 _let_305 _let_304) false _let_299 true _let_117 true _let_120 false _let_201 false tptp.hskp14 true _let_484 true _let_462 false _let_463 true _let_467 true _let_675 true _let_697 true _let_328)) _let_559 _let_859 _let_841 :args ((or tptp.hskp22 _let_49 _let_296 _let_331 _let_305 _let_304) true _let_307 false _let_308 true _let_306 true _let_312 true _let_328)) _let_871 _let_870 _let_869 _let_868 _let_865 _let_864 _let_832 _let_833 _let_831 _let_860 _let_549 _let_576 _let_578 _let_813 _let_812 _let_807 _let_859 _let_740 _let_741 _let_739 _let_737 _let_849 _let_841 :args ((or tptp.hskp22 _let_296 _let_331 _let_305 _let_304) true _let_269 true tptp.hskp17 true _let_275 false _let_261 true _let_271 false _let_257 false _let_455 false _let_886 false _let_448 true _let_885 false _let_447 true _let_896 true tptp.hskp3 false _let_49 true _let_838 true _let_836 true _let_837 true _let_839 true _let_270 true _let_835 true _let_816 true _let_814 true _let_817 false _let_822 false _let_310 false _let_468 true _let_570 true _let_248 true _let_247 false tptp.hskp10 true _let_312 false _let_290 true _let_272 false _let_273 true _let_292 true _let_289 true _let_328)) _let_557 _let_556 (MACRO_RESOLUTION_TRUST _let_800 _let_895 _let_721 _let_720 _let_719 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp22 tptp.hskp14 _let_296 _let_840))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_269 (= U U)))) _let_755 _let_750 _let_746 _let_666 _let_771 _let_588 _let_747 _let_894 _let_871 _let_870 _let_869 _let_868 _let_865 _let_864 _let_832 _let_833 _let_831 _let_860 _let_549 _let_576 _let_578 _let_813 _let_812 _let_807 _let_601 _let_600 _let_612 _let_740 _let_741 _let_739 _let_737 _let_849 _let_687 _let_859 _let_699 _let_841 :args ((or tptp.hskp22 tptp.hskp3 _let_296 _let_331) false _let_299 true _let_117 true _let_120 false _let_201 false tptp.hskp14 true _let_840 true _let_269 true _let_275 true _let_271 false _let_455 true _let_308 false _let_448 true _let_307 false _let_447 true _let_838 true _let_836 true _let_837 true _let_839 true _let_270 true _let_835 true _let_816 true _let_814 true _let_817 false _let_822 false _let_310 false _let_468 true _let_570 true _let_248 true _let_247 false tptp.hskp10 true _let_462 false _let_465 true _let_467 false _let_290 true _let_272 false _let_273 true _let_292 true _let_289 true _let_675 true _let_312 true _let_697 true _let_328)) :args ((or tptp.hskp22 _let_296 _let_331) false _let_179 false _let_181 false tptp.hskp3)) _let_808 _let_834 _let_809 _let_810 _let_833 _let_832 _let_831 _let_578 _let_813 _let_812 _let_807 :args ((or tptp.hskp22 _let_296) true _let_93 true _let_96 false _let_197 false tptp.hskp11 true _let_828 true _let_307 true _let_306 false tptp.hskp3 true _let_270 true _let_279 true _let_276 true _let_38 true _let_41 false _let_278 false _let_827 false tptp.hskp1 false _let_269 true tptp.hskp17 false _let_825 true tptp.hskp16 false _let_324 false _let_521 false _let_321 false _let_332 true _let_357 true tptp.hskp6 false _let_519 true _let_289 false _let_318 false _let_514 true _let_288 false _let_312 false tptp.hskp0 true _let_468 true _let_823 true _let_285 true _let_310 true _let_284 true _let_822 true _let_283 false _let_819 false _let_280 false _let_820 false _let_518 false _let_818 false _let_328 false _let_331 true _let_89 true _let_815 true _let_86 true _let_83 true _let_814 true _let_816 true _let_817 true _let_570 true _let_248 true _let_247 false tptp.hskp10)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_248 (= V V)))) _let_813 _let_812 _let_810 _let_809 _let_808 _let_807 :args (_let_296 false _let_276 true _let_38 true _let_41 false tptp.hskp1 true _let_295 true _let_294 true _let_292 true _let_289 true _let_288 false tptp.hskp0 true _let_285 true _let_284 true _let_283 false _let_280 false _let_281 false _let_279 false _let_278 false _let_275 false _let_270 false _let_269 false _let_268 false _let_267 true _let_266 true _let_265 true _let_264 true tptp.hskp17 true _let_263 false _let_261 false _let_259 false _let_257 false _let_256 true _let_255 true _let_254 true _let_253 true _let_252 false tptp.hskp22 true _let_249 true _let_248 true _let_247 true _let_83 true _let_86 true _let_89 false tptp.hskp10)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_529 (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_244)) :args ((or tptp.ndr1_0 _let_71))) _let_910 :args (_let_71 true tptp.ndr1_0)) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_245)) :args ((or tptp.ndr1_0 _let_235))) _let_910 :args (_let_235 true tptp.ndr1_0)) :args (false true tptp.hskp8 true tptp.hskp28)) :args (_let_246 _let_245 (or _let_233 tptp.ndr1_0) (or _let_227 tptp.ndr1_0) (or _let_222 tptp.ndr1_0) (or _let_168 tptp.ndr1_0) (or _let_158 tptp.ndr1_0) (or _let_154 tptp.ndr1_0) (or _let_150 tptp.ndr1_0) (or _let_149 tptp.ndr1_0) (or _let_142 tptp.ndr1_0) (or _let_138 tptp.ndr1_0) (or _let_131 tptp.ndr1_0) (or _let_124 tptp.ndr1_0) (or _let_123 tptp.ndr1_0) (or _let_116 tptp.ndr1_0) (or _let_109 tptp.ndr1_0) (or _let_99 tptp.ndr1_0) (or _let_92 tptp.ndr1_0) (or _let_82 tptp.ndr1_0) (or _let_78 tptp.ndr1_0) _let_244 (or _let_61 tptp.ndr1_0) (or _let_57 tptp.ndr1_0) (or _let_56 tptp.ndr1_0) (or _let_52 tptp.ndr1_0) (or _let_48 tptp.ndr1_0) (or _let_44 tptp.ndr1_0) (or _let_37 tptp.ndr1_0) (or _let_33 tptp.ndr1_0) (or tptp.hskp26 tptp.hskp17 tptp.hskp24) _let_243 (or tptp.hskp17 tptp.hskp13 tptp.hskp2) _let_242 (or tptp.hskp6 tptp.hskp21 tptp.hskp14) _let_241 _let_240 _let_238 _let_236 (or _let_233 (tptp.c0_1 tptp.a1201)) (or _let_233 (tptp.c1_1 tptp.a1201)) (or _let_233 (tptp.c2_1 tptp.a1201)) _let_232 _let_230 _let_228 (or _let_222 (tptp.c1_1 tptp.a1182)) _let_225 _let_223 (or _let_168 (tptp.c3_1 tptp.a1232)) _let_220 _let_218 _let_216 _let_214 (or _let_149 (tptp.c1_1 tptp.a1205)) (or _let_149 (tptp.c3_1 tptp.a1205)) _let_212 _let_210 _let_208 _let_206 _let_204 (or _let_123 (tptp.c2_1 tptp.a1195)) _let_202 _let_200 _let_198 _let_196 _let_194 _let_192 _let_190 _let_188 (or _let_56 (tptp.c0_1 tptp.a1176)) (or _let_56 (tptp.c2_1 tptp.a1176)) _let_186 _let_184 _let_182 _let_180 _let_178 _let_176 _let_174 _let_172 _let_170 (or (not (tptp.c0_1 tptp.a1232)) _let_168) (or (not (tptp.c1_1 tptp.a1232)) _let_168) _let_167 _let_164 _let_161 _let_157 _let_153 (or (not (tptp.c2_1 tptp.a1205)) _let_149) _let_148 _let_145 _let_141 _let_137 _let_134 _let_130 _let_127 (or (not (tptp.c1_1 tptp.a1195)) _let_123) (or (not (tptp.c3_1 tptp.a1195)) _let_123) _let_122 _let_119 _let_115 _let_112 _let_108 _let_105 _let_102 _let_98 _let_95 _let_91 _let_88 _let_85 _let_81 _let_77 _let_74 _let_70 _let_67 _let_64 _let_60 (or (not (tptp.c3_1 tptp.a1176)) _let_56) _let_55 _let_51 _let_47 _let_43 _let_40 _let_36 _let_32 _let_31 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp14 tptp.hskp15)) _let_30 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp9 tptp.hskp25)) (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp0 tptp.hskp16)) _let_29 _let_28 _let_27 _let_26 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp5 tptp.hskp4)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp27 tptp.hskp18)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp13 tptp.hskp19)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp20 tptp.hskp12)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp21 tptp.hskp12)) _let_25 _let_24 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp11 tptp.hskp15)) _let_23 _let_22 _let_21 _let_20 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp2)) (forall ((U $$unsorted) (V $$unsorted)) (or (not tptp.ndr1_0) (not (tptp.c2_1 U)) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp5)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp26)) _let_19 _let_18 _let_17 _let_16 _let_15 (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.hskp13)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp8)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp1)) _let_14 _let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) tptp.hskp11)) _let_12 _let_11 _let_10 _let_9 _let_8 (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.c2_1 V) (tptp.c3_1 V) tptp.hskp11)) (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.c2_1 V) (tptp.c3_1 V) tptp.hskp13)) _let_7 _let_6 _let_5 _let_4 _let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 W)) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c3_1 W))) _let_2 _let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c0_1 W)) (not (tptp.c3_1 W)) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c1_1 W))) (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.c0_1 V)) (not (tptp.c2_1 V)) (not (tptp.c1_1 W)) (not (tptp.c2_1 W)) (tptp.c3_1 V) (tptp.c0_1 W))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.72  )
% 0.21/0.73  % SZS output end Proof for SYN461-1
% 0.21/0.73  % cvc5---1.0.5 exiting
% 0.21/0.73  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------