TSTP Solution File: SYN511-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN511-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n006.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 02:03:48 EDT 2023

% Result   : Unsatisfiable 0.22s 0.72s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SYN511-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n006.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat Aug 26 21:44:07 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.VLLeQyWasn/cvc5---1.0.5_24394.p...
% 0.22/0.54  ------- get file name : TPTP file name is SYN511-1
% 0.22/0.55  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24394.smt2...
% 0.22/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.72  % SZS status Unsatisfiable for SYN511-1
% 0.22/0.72  % SZS output start Proof for SYN511-1
% 0.22/0.75  (
% 0.22/0.75  (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (not (tptp.c2_1 W)) (tptp.c0_1 V) (tptp.c0_1 W))))) (let ((_let_2 (forall ((U $$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.c2_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c3_1 W)) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_4 (forall ((U $$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.c2_1 W)) (tptp.c3_1 U) (tptp.c2_1 V) (tptp.c1_1 W) (tptp.c3_1 W))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c0_1 W)) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c1_1 W) (tptp.c3_1 W))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c1_1 W)) (tptp.c2_1 U) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (not (tptp.c3_1 W)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_9 (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.c0_1 V)) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)))))) (let ((_let_10 (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.c0_1 V)) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp19)))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp10)))) (let ((_let_12 (forall ((U $$unsorted) (V $$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.c1_1 V) (tptp.c2_1 V) tptp.hskp10)))) (let ((_let_13 (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))))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) tptp.hskp27)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_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.c3_1 V) tptp.hskp4)))) (let ((_let_16 (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.c1_1 V) tptp.hskp11)))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp27)))) (let ((_let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp6)))) (let ((_let_19 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_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.hskp5)))) (let ((_let_20 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) tptp.hskp9 tptp.hskp5)))) (let ((_let_21 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp14 tptp.hskp17)))) (let ((_let_22 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp15 tptp.hskp4)))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp6 tptp.hskp4)))) (let ((_let_24 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp27 tptp.hskp1)))) (let ((_let_25 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp29 tptp.hskp15)))) (let ((_let_26 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp20 tptp.hskp0)))) (let ((_let_27 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp9 tptp.hskp2)))) (let ((_let_28 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp10 tptp.hskp2)))) (let ((_let_29 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp8 tptp.hskp9)))) (let ((_let_30 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp28 tptp.hskp7)))) (let ((_let_31 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp6 tptp.hskp7)))) (let ((_let_32 (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 ((_let_33 (not tptp.hskp0))) (let ((_let_34 (tptp.c2_1 tptp.a668))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33))) (let ((_let_37 (not tptp.hskp1))) (let ((_let_38 (tptp.c2_1 tptp.a669))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_37))) (let ((_let_41 (tptp.c1_1 tptp.a669))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_37))) (let ((_let_44 (not tptp.hskp2))) (let ((_let_45 (tptp.c1_1 tptp.a670))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_44))) (let ((_let_48 (tptp.c0_1 tptp.a670))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_44))) (let ((_let_51 (not tptp.hskp3))) (let ((_let_52 (not tptp.hskp4))) (let ((_let_53 (tptp.c2_1 tptp.a672))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_52))) (let ((_let_56 (tptp.c1_1 tptp.a672))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_52))) (let ((_let_59 (tptp.c0_1 tptp.a672))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_52))) (let ((_let_62 (not tptp.hskp5))) (let ((_let_63 (tptp.c3_1 tptp.a673))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_62))) (let ((_let_66 (tptp.c2_1 tptp.a673))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_67 _let_62))) (let ((_let_69 (tptp.c0_1 tptp.a673))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_62))) (let ((_let_72 (not tptp.hskp6))) (let ((_let_73 (tptp.c1_1 tptp.a674))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_74 _let_72))) (let ((_let_76 (not tptp.hskp7))) (let ((_let_77 (tptp.c2_1 tptp.a675))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_76))) (let ((_let_80 (not tptp.hskp8))) (let ((_let_81 (tptp.c0_1 tptp.a679))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_82 _let_80))) (let ((_let_84 (not tptp.hskp9))) (let ((_let_85 (tptp.c3_1 tptp.a680))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_86 _let_84))) (let ((_let_88 (tptp.c1_1 tptp.a680))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_89 _let_84))) (let ((_let_91 (not tptp.hskp10))) (let ((_let_92 (tptp.c0_1 tptp.a681))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_93 _let_91))) (let ((_let_95 (not tptp.hskp11))) (let ((_let_96 (tptp.c2_1 tptp.a683))) (let ((_let_97 (not _let_96))) (let ((_let_98 (or _let_97 _let_95))) (let ((_let_99 (not tptp.hskp12))) (let ((_let_100 (not tptp.hskp13))) (let ((_let_101 (not tptp.hskp14))) (let ((_let_102 (tptp.c3_1 tptp.a696))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_101))) (let ((_let_105 (not tptp.hskp15))) (let ((_let_106 (tptp.c0_1 tptp.a700))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_107 _let_105))) (let ((_let_109 (not tptp.hskp16))) (let ((_let_110 (not tptp.hskp17))) (let ((_let_111 (tptp.c2_1 tptp.a703))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_112 _let_110))) (let ((_let_114 (tptp.c0_1 tptp.a703))) (let ((_let_115 (not _let_114))) (let ((_let_116 (or _let_115 _let_110))) (let ((_let_117 (not tptp.hskp18))) (let ((_let_118 (not tptp.hskp19))) (let ((_let_119 (tptp.c0_1 tptp.a710))) (let ((_let_120 (not _let_119))) (let ((_let_121 (or _let_120 _let_118))) (let ((_let_122 (not tptp.hskp20))) (let ((_let_123 (tptp.c2_1 tptp.a711))) (let ((_let_124 (not _let_123))) (let ((_let_125 (or _let_124 _let_122))) (let ((_let_126 (not tptp.hskp21))) (let ((_let_127 (not tptp.hskp22))) (let ((_let_128 (not tptp.hskp23))) (let ((_let_129 (not tptp.hskp24))) (let ((_let_130 (not tptp.hskp25))) (let ((_let_131 (tptp.c3_1 tptp.a760))) (let ((_let_132 (not _let_131))) (let ((_let_133 (or _let_132 _let_130))) (let ((_let_134 (tptp.c1_1 tptp.a760))) (let ((_let_135 (not _let_134))) (let ((_let_136 (or _let_135 _let_130))) (let ((_let_137 (tptp.c0_1 tptp.a760))) (let ((_let_138 (not _let_137))) (let ((_let_139 (or _let_138 _let_130))) (let ((_let_140 (not tptp.hskp26))) (let ((_let_141 (tptp.c1_1 tptp.a668))) (let ((_let_142 (or _let_33 _let_141))) (let ((_let_143 (tptp.c0_1 tptp.a669))) (let ((_let_144 (or _let_37 _let_143))) (let ((_let_145 (tptp.c3_1 tptp.a670))) (let ((_let_146 (or _let_44 _let_145))) (let ((_let_147 (tptp.c3_1 tptp.a674))) (let ((_let_148 (or _let_72 _let_147))) (let ((_let_149 (tptp.c0_1 tptp.a674))) (let ((_let_150 (or _let_72 _let_149))) (let ((_let_151 (tptp.c3_1 tptp.a675))) (let ((_let_152 (or _let_76 _let_151))) (let ((_let_153 (tptp.c1_1 tptp.a675))) (let ((_let_154 (or _let_76 _let_153))) (let ((_let_155 (tptp.c3_1 tptp.a679))) (let ((_let_156 (or _let_80 _let_155))) (let ((_let_157 (tptp.c1_1 tptp.a679))) (let ((_let_158 (or _let_80 _let_157))) (let ((_let_159 (tptp.c2_1 tptp.a680))) (let ((_let_160 (or _let_84 _let_159))) (let ((_let_161 (tptp.c3_1 tptp.a681))) (let ((_let_162 (or _let_91 _let_161))) (let ((_let_163 (tptp.c2_1 tptp.a681))) (let ((_let_164 (or _let_91 _let_163))) (let ((_let_165 (tptp.c3_1 tptp.a683))) (let ((_let_166 (or _let_95 _let_165))) (let ((_let_167 (tptp.c0_1 tptp.a683))) (let ((_let_168 (or _let_95 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(let ((_let_738 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_572 :args (tptp.a676 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_571)) :args _let_570)))) (let ((_let_739 (or _let_691 _let_690 _let_688))) (let ((_let_740 (or _let_693 _let_690 _let_688))) (let ((_let_741 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (tptp.c3_1 U))))) (let ((_let_742 (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c1_1 V) (tptp.c2_1 V))))) (let ((_let_743 (REORDERING (CNF_OR_POS :args (_let_740)) :args ((or _let_693 _let_690 _let_688 (not _let_740)))))) (let ((_let_744 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_492 :args (tptp.a676 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_491)) :args _let_490)))) (let ((_let_745 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_380 (= U U)))))) (let ((_let_746 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_268 (= U V)))))) (let ((_let_747 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp10 _let_341 _let_741 _let_742))))) (let ((_let_748 (MACRO_RESOLUTION_TRUST _let_339 (MACRO_RESOLUTION_TRUST _let_565 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_707 _let_586 _let_584 _let_583 _let_747 _let_340 _let_746 _let_608 _let_625 _let_626 _let_630 _let_709 _let_631 _let_340 _let_704 _let_701 _let_500 _let_499 _let_340 _let_495 _let_745 _let_744 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_646 :args (tptp.a676 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_645)) :args _let_644)) _let_743 (REORDERING (CNF_OR_POS :args (_let_739)) :args ((or _let_691 _let_690 _let_688 (not _let_739)))) _let_624 _let_623 _let_279 :args ((or _let_213 _let_305 _let_693 _let_691 _let_690 _let_688 _let_564) true _let_231 false _let_161 false _let_163 false tptp.hskp10 false tptp.ndr1_0 true _let_742 true _let_268 true _let_266 true _let_263 false _let_620 false _let_698 false _let_221 false tptp.ndr1_0 true tptp.hskp11 false _let_298 false _let_295 false _let_476 false tptp.ndr1_0 true _let_475 true _let_741 true _let_472 true _let_380 true _let_740 true _let_739 true _let_257 false _let_259 true _let_261)) _let_588 (MACRO_RESOLUTION_TRUST _let_668 _let_340 _let_671 _let_667 _let_699 _let_738 _let_702 _let_737 :args ((or _let_693 _let_691 _let_690 _let_689) false tptp.ndr1_0 true _let_663 true _let_662 true _let_322 true _let_214 true _let_692 true _let_736)) :args ((or _let_234 _let_305 _let_693 _let_691 _let_690 _let_564) true _let_213 true _let_688)) _let_735 (MACRO_RESOLUTION_TRUST _let_631 _let_340 _let_579 _let_709 _let_587 _let_708 _let_586 _let_585 _let_584 _let_583 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp10 _let_341 _let_696 _let_697))) _let_340 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_330 (= V V)))) _let_424 _let_454 (MACRO_RESOLUTION_TRUST _let_683 _let_681 _let_680 _let_679 :args ((or _let_200 _let_682) false _let_199 false _let_202 false _let_204)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_695 (= U U)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_705) :args (tptp.a676 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_705)) (REORDERING (CNF_OR_POS :args (_let_694)) :args ((or _let_693 _let_691 _let_688 (not _let_694)))) _let_704 _let_702 _let_701 _let_699 _let_432 _let_684 _let_500 _let_617 _let_499 _let_340 _let_616 _let_340 _let_495 _let_615 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_492 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 U) false))))) :args _let_490)) _let_448 (REORDERING (CNF_OR_POS :args (_let_687)) :args ((or _let_310 _let_307 _let_435 (not _let_687)))) _let_445 _let_444 _let_443 :args ((or _let_306 _let_305 _let_693 _let_691 _let_690 _let_300 _let_310 _let_308 _let_307) false tptp.ndr1_0 true _let_213 true _let_221 true _let_575 true _let_698 true _let_231 true _let_92 false _let_161 false _let_163 false tptp.hskp10 false tptp.ndr1_0 true _let_697 true _let_330 true _let_369 true tptp.hskp29 true _let_696 true _let_695 true _let_694 true tptp.hskp11 true _let_688 false _let_298 false _let_692 false _let_233 false _let_321 false _let_295 false _let_322 false _let_476 false tptp.ndr1_0 false _let_324 false tptp.ndr1_0 true _let_475 true _let_325 true _let_472 true _let_329 true _let_687 true _let_436 false _let_433 false _let_434)) _let_686 (ASSUME :args (_let_189)) _let_685 _let_336 _let_337 _let_338 (MACRO_RESOLUTION_TRUST _let_610 _let_418 _let_613 _let_419 _let_340 _let_614 _let_423 _let_615 _let_426 _let_616 _let_340 _let_427 _let_340 _let_617 _let_428 _let_684 _let_683 _let_681 _let_680 _let_679 (MACRO_RESOLUTION_TRUST _let_505 _let_501 _let_464 _let_508 _let_507 _let_462 _let_461 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp7 tptp.hskp6 _let_341 _let_386))) _let_340 _let_678 _let_340 _let_677 _let_674 _let_673 _let_656 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_516 :args (tptp.a672 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_515)) :args _let_514)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_537 :args (tptp.a672 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_536)) :args _let_535)) (REORDERING (CNF_OR_POS :args (_let_385)) :args ((or _let_59 _let_53 _let_357 (not _let_385)))) (REORDERING (CNF_OR_POS :args (_let_384)) :args ((or _let_59 _let_56 _let_357 (not _let_384)))) (REORDERING (CNF_OR_POS :args (_let_359)) :args ((or _let_56 _let_53 _let_358 (not _let_359)))) _let_655 _let_654 _let_653 _let_652 _let_340 _let_651 _let_650 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_649 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_648)) :args _let_647)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_646 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_645)) :args _let_644)) _let_643 (REORDERING (CNF_OR_POS :args (_let_376)) :args ((or _let_366 _let_371 _let_361 (not _let_376)))) (REORDERING (CNF_OR_POS :args (_let_375)) :args ((or _let_366 _let_364 _let_361 (not _let_375)))) (REORDERING (CNF_OR_POS :args (_let_367)) :args ((or _let_366 _let_364 _let_362 (not _let_367)))) _let_639 (CNF_OR_NEG :args (_let_372 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_372 1)) (CONG _let_638 (MACRO_SR_PRED_INTRO :args ((= (not _let_364) _let_363))) :args _let_269)) :args ((or _let_363 _let_372))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_372 0)) (CONG _let_638 (MACRO_SR_PRED_INTRO :args ((= (not _let_366) _let_365))) :args _let_269)) :args ((or _let_365 _let_372))) _let_637 _let_340 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_636)) :args _let_636)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_635) _let_330))) (REFL :args ((not _let_372))) :args _let_269)) _let_634 _let_424 _let_454 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_353)) :args ((or _let_96 _let_296 _let_352 _let_622))) (REORDERING (CNF_OR_POS :args (_let_619)) :args ((or _let_96 _let_296 _let_618 (not _let_619)))) _let_633 _let_632 _let_631 _let_340 _let_630 _let_626 _let_625 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_504 :args (tptp.a683 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 U) false))))) :args _let_502)) _let_624 _let_623 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_403 (= U U)))) _let_279 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) _let_340 _let_588 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_235 (= U W)))) _let_565 :args ((or _let_235 _let_360 _let_622 _let_621 _let_564) true _let_352 true _let_96 false _let_165 false tptp.hskp11 false tptp.ndr1_0 true _let_221 true _let_620 false _let_263 false _let_619 true _let_257 false _let_259 false _let_403 true _let_261 false (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (tptp.c2_1 U))) false tptp.ndr1_0 true _let_213 true (forall ((W $$unsorted)) (or (not (tptp.c2_1 W)) (tptp.c0_1 W) (tptp.c1_1 W))) true _let_234)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_431 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_430)) :args _let_429)) _let_432 _let_617 _let_616 _let_340 _let_615 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_329 (= U V)))) _let_614 _let_613 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_606 :args (tptp.a672 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_609)) :args _let_604)) _let_610 _let_608 _let_607 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_606 :args (tptp.a683 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_605)) :args _let_604)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_603 _let_602 _let_601 _let_600 _let_599 _let_340 _let_598 _let_595 _let_594 _let_590 _let_589 _let_340 _let_276 _let_588 _let_574 _let_573 _let_569 _let_568 _let_567 _let_501 _let_464 _let_566 _let_462 _let_461 _let_457 _let_456 _let_340 _let_455 _let_565 :args ((or tptp.hskp27 _let_235 _let_268 _let_305 _let_416 _let_414 _let_412 _let_564) true _let_123 false _let_181 false _let_183 false tptp.hskp20 false tptp.ndr1_0 true tptp.hskp0 false _let_563 false _let_561 false _let_558 false _let_557 false tptp.ndr1_0 true _let_256 true _let_213 true _let_556 true _let_214 true _let_555 false _let_552 false _let_553 false _let_403 true tptp.hskp17 false _let_551 false _let_399 false _let_394 false _let_392 false _let_405 false tptp.ndr1_0 true _let_404 true _let_234)) _let_548 _let_547 _let_546 _let_544 _let_541 _let_539 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_386 (= U V)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_537 :args (tptp.a760 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_536)) :args _let_535)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp5 _let_341 _let_510 _let_512))) _let_340 (REORDERING (CNF_OR_POS :args (_let_511)) :args ((or _let_137 _let_134 _let_131 (not _let_511)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_304 (= U U)))) (REORDERING (ASSUME :args (_let_133)) :args ((or _let_130 _let_132))) _let_534 _let_533 _let_532 _let_528 _let_527 _let_525 _let_520 _let_519 _let_518 _let_517 _let_513 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp28 tptp.hskp7 _let_341 _let_387))) _let_340 :args ((or tptp.hskp28 tptp.hskp19 tptp.hskp7) true _let_386 false _let_512 false tptp.ndr1_0 true _let_511 true _let_510 true _let_131 true _let_134 true _let_137 true _let_304 false tptp.hskp25 true _let_303 true tptp.hskp5 true _let_85 true _let_88 false _let_159 false _let_509 false tptp.hskp9 false _let_387 false tptp.ndr1_0)) (MACRO_RESOLUTION_TRUST _let_508 _let_507 :args ((or _let_76 _let_506) false _let_153)) _let_505 _let_501 _let_464 _let_462 _let_461 _let_457 _let_456 _let_340 _let_455 _let_454 _let_432 _let_428 _let_427 _let_340 _let_426 _let_424 _let_423 _let_419 _let_340 _let_418 :args ((or tptp.hskp29 tptp.hskp27 _let_268 _let_317 _let_305 _let_310 _let_308 _let_307) false _let_411 false _let_413 false _let_415 true _let_417 true _let_410 true _let_409 false tptp.hskp28 true tptp.hskp7 false _let_402 false _let_403 true tptp.hskp17 false _let_399 false _let_394 false _let_392 false _let_405 false tptp.ndr1_0 true _let_404 true _let_235 false _let_233 false _let_322 false _let_323 false tptp.ndr1_0 true tptp.hskp19 false _let_369 false _let_328 false _let_330 false tptp.ndr1_0 true _let_333)) _let_351 _let_350 _let_346 _let_342 _let_343 _let_344 :args ((or tptp.hskp29 tptp.hskp27 _let_37 _let_306 _let_305 _let_310 _let_308 _let_307) false _let_403 true tptp.hskp17 true _let_402 false _let_153 false _let_399 false _let_394 false tptp.hskp7 false tptp.ndr1_0 false _let_392 false tptp.ndr1_0 true tptp.hskp6 false _let_391 false _let_214 true _let_388 true _let_387 true _let_386 true _let_385 true _let_384 true _let_357 true _let_53 true _let_56 true _let_59 false tptp.hskp4 false tptp.ndr1_0 true _let_383 true _let_382 true _let_381 true _let_380 false _let_379 true _let_376 true _let_375 true _let_361 false _let_374 true _let_371 false _let_363 false _let_365 false _let_373 false tptp.ndr1_0 true _let_372 true _let_370 true _let_330 true _let_369 false _let_235 false _let_367 false _let_233 false _let_322 false _let_324 false tptp.ndr1_0 true _let_325 true _let_360 true _let_329 true _let_332 false _let_359 false _let_335 false _let_266 false _let_356 false _let_353 false _let_268 true _let_317 true _let_243 true _let_245 false _let_143 true _let_41 true _let_38)) _let_351 _let_350 _let_346 _let_344 _let_343 _let_342 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp27 tptp.hskp1 _let_341 _let_304))) _let_340 _let_339 _let_338 _let_337 _let_336 _let_316 _let_314 :args ((or tptp.hskp27 _let_304) false _let_268 true _let_335 false _let_333 false tptp.ndr1_0 false _let_332 true _let_330 false _let_329 true _let_328 false _let_325 false tptp.ndr1_0 false tptp.hskp19 false tptp.ndr1_0 true _let_324 true _let_323 true _let_322 true _let_321 false _let_199 false _let_202 false _let_204 false tptp.hskp29 true _let_317 true _let_243 true _let_245 true _let_38 true _let_41 false _let_143 false tptp.hskp1 false tptp.ndr1_0 true _let_305 false _let_309 true _let_308 true _let_307 true _let_311 true _let_306)) _let_316 _let_314 (REORDERING (EQUIV_ELIM1 _let_313) :args ((or _let_305 _let_312))) :args (_let_305 false _let_234 false _let_233 true _let_235 false _let_185 false _let_188 false _let_190 true _let_307 true _let_308 false _let_309 false tptp.hskp27 true _let_311 true _let_306 true _let_304)) :args (_let_304 false _let_305)))) (let ((_let_749 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_527 _let_520 _let_519 _let_518 :args ((or _let_84 _let_526) true _let_85 true _let_88 false _let_159)) (MACRO_RESOLUTION_TRUST _let_532 _let_748 :args (_let_303 false _let_304)) :args (_let_84 false _let_303)))) (let ((_let_750 (not _let_287))) (let ((_let_751 (_let_290))) (let ((_let_752 ((not (= (tptp.c1_1 U) false))))) (let ((_let_753 (ASSUME :args _let_751))) (let ((_let_754 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_290 (= U V)))))) (let ((_let_755 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_756 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_295 (= U U)))))) (let ((_let_757 (MACRO_RESOLUTION_TRUST _let_701 _let_704 _let_756 _let_631 _let_340 _let_755 _let_340 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_629 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_628)) :args _let_627)) _let_754 (REORDERING (CNF_OR_POS :args (_let_292)) :args ((or _let_283 _let_281 _let_291 (not _let_292)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_753 :args (tptp.a679 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_752)) :args _let_751)) (REORDERING (CNF_OR_POS :args (_let_289)) :args ((or _let_283 _let_281 _let_288 (not _let_289)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_531 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_530)) :args _let_529)) _let_748 :args (_let_289 false _let_304)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_287)) :args ((or _let_81 _let_286 _let_285 _let_750))) (ASSUME :args (_let_156)) (ASSUME :args (_let_158)) :args ((or _let_80 _let_81 _let_750) false _let_155 false _let_157)) (REORDERING (ASSUME :args (_let_83)) :args ((or _let_80 _let_82))) (CNF_OR_NEG :args (_let_284 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_284 0)) (CONG (REFL :args (_let_284)) (MACRO_SR_PRED_INTRO :args ((= (not _let_283) _let_282))) :args _let_269)) :args ((or _let_282 _let_284))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp9 tptp.hskp8 _let_341 _let_235))) _let_340 _let_749 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_301)) :args _let_301)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_300) _let_235))) (REFL :args ((not _let_284))) :args _let_269)) _let_299 :args ((or _let_235 _let_213) true _let_298 false _let_295 false tptp.hskp11 false tptp.ndr1_0 false _let_294 false tptp.ndr1_0 true _let_221 true _let_293 true _let_292 true _let_290 false _let_288 false _let_289 true _let_287 true _let_81 true _let_281 false _let_282 false tptp.hskp8 false tptp.ndr1_0 true tptp.hskp9 true _let_284 true _let_280)))) (let ((_let_758 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_441 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_440)) :args _let_439)))) (let ((_let_759 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_441 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_440)) :args _let_439)))) (let ((_let_760 (REORDERING (CNF_OR_POS :args (_let_262)) :args ((or _let_254 _let_224 _let_225 (not _let_262)))))) (let ((_let_761 (not _let_265))) (let ((_let_762 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_265)) :args ((or _let_258 _let_257 _let_264 _let_761))) _let_625 _let_624 (CNF_OR_NEG :args (_let_261 1)) _let_623 :args ((or _let_261 _let_621 _let_761) false _let_263 true _let_257 true _let_258 false _let_259)))) (let ((_let_763 (not _let_225))) (let ((_let_764 (REORDERING (CNF_OR_NEG :args (_let_267 2)) :args ((or _let_763 _let_267))))) (let ((_let_765 (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 V))))) (let ((_let_766 (or _let_763 _let_254 _let_227))) (let ((_let_767 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_768 (forall ((W $$unsorted)) (or (not (tptp.c1_1 W)) (tptp.c0_1 W) (tptp.c2_1 W))))) (let ((_let_769 (not _let_267))) (let ((_let_770 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_221 (= U V)))))) (let ((_let_771 (not _let_766))) (let ((_let_772 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_255 1)) (CONG _let_274 (MACRO_SR_PRED_INTRO :args ((= (not _let_227) _let_226))) :args _let_269)) :args ((or 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(SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_789)) :args _let_784)) _let_788 _let_787 _let_783 _let_340 _let_782 _let_350 _let_781 _let_780 _let_442 _let_779 _let_340 _let_749 _let_565 _let_582 _let_588 _let_735 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_578 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_577)) :args _let_576)) _let_580 (MACRO_RESOLUTION_TRUST _let_778 _let_608 _let_764 _let_762 _let_760 _let_759 _let_758 _let_757 _let_279 _let_276 _let_275 _let_273 _let_272 :args ((or _let_221 _let_213) true _let_268 false _let_267 true _let_266 false _let_225 false _let_265 false _let_262 false _let_235 true _let_261 true _let_256 false _let_253 true _let_224 true _let_255)) :args (_let_221 true tptp.hskp4 true tptp.hskp25 false _let_252 false _let_248 false _let_247 false _let_246 false tptp.ndr1_0 true tptp.hskp1 false _let_245 false _let_243 false _let_242 false _let_239 false _let_236 false tptp.ndr1_0 true tptp.hskp9 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(let ((_let_863 (REORDERING (CNF_OR_POS :args (_let_841)) :args ((or _let_69 _let_66 _let_840 _let_853))))) (let ((_let_864 (not _let_472))) (let ((_let_865 (_let_864))) (let ((_let_866 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_865)) :args _let_865)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_864) _let_472))) (REFL :args ((not _let_820))) :args _let_269)))) (let ((_let_867 (not _let_839))) (let ((_let_868 (REFL :args (_let_842)))) (let ((_let_869 (not _let_374))) (let ((_let_870 (_let_869))) (let ((_let_871 (not _let_837))) (let ((_let_872 (not _let_844))) (let ((_let_873 (not _let_268))) (let ((_let_874 (_let_873))) (let ((_let_875 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_753 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_752)) :args _let_751)))) (let ((_let_876 (or _let_851 _let_69 _let_66))) (let ((_let_877 (not _let_392))) (let ((_let_878 (_let_877))) (let ((_let_879 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args 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_let_823 true _let_830 true _let_824 false _let_825)) _let_678 _let_340 _let_879 _let_461 _let_464 _let_482 _let_340 _let_478 _let_505 _let_508 _let_507 _let_528 (MACRO_RESOLUTION_TRUST _let_678 _let_340 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_460 :args (tptp.a673 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_459)) :args _let_458)) _let_656 (REORDERING (CNF_OR_POS :args (_let_876)) :args ((or _let_69 _let_66 _let_851 (not _let_876)))) _let_517 _let_863 _let_525 _let_523 _let_522 :args ((or tptp.hskp6 _let_62 _let_853) false tptp.ndr1_0 true _let_392 true _let_388 true _let_876 true _let_387 false _let_840 true _let_509 true _let_66 true _let_69)) _let_875 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp6 tptp.hskp4 _let_341 _let_290))) _let_340 _let_677 _let_607 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_874)) :args _let_874)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_873) _let_268))) (REFL :args ((not _let_845))) :args _let_269)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_837)) :args ((or _let_836 _let_833 _let_834 _let_871))) (REORDERING (CNF_OR_POS :args (_let_844)) :args ((or _let_836 _let_833 _let_843 _let_872))) (CNF_OR_NEG :args (_let_845 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_845 0)) (CONG (REFL :args (_let_845)) (MACRO_SR_PRED_INTRO :args ((= (not _let_836) _let_835))) :args _let_269)) :args ((or _let_835 _let_845))) :args ((or _let_845 _let_872 _let_871) true _let_834 true _let_833 false _let_835)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_642 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_641)) :args _let_640)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_870)) :args _let_870)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_869) _let_374))) (REFL :args ((not _let_842))) :args _let_269)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_839)) :args ((or _let_810 _let_838 _let_807 _let_867))) (REORDERING (CNF_OR_POS :args (_let_811)) :args ((or _let_810 _let_806 _let_808 _let_847))) (CNF_OR_NEG :args (_let_842 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_842 1)) (CONG _let_868 (MACRO_SR_PRED_INTRO :args ((= (not _let_806) _let_805))) :args _let_269)) :args ((or _let_805 _let_842))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_842 0)) (CONG _let_868 (MACRO_SR_PRED_INTRO :args ((= (not _let_810) _let_809))) :args _let_269)) :args ((or _let_809 _let_842))) :args ((or _let_842 _let_847 _let_867) true _let_807 true _let_838 false _let_805 false _let_809)) _let_488 _let_493 _let_866 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_852)) :args ((or _let_69 _let_63 _let_851 (not _let_852)))) _let_863 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_649 :args (tptp.a673 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_648)) :args _let_647)) _let_524 _let_523 _let_522 _let_651 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp9 tptp.hskp5 _let_341 _let_850))) _let_340 _let_749 _let_652 _let_340 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_862) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_862)) _let_650 (REORDERING (CNF_OR_POS :args (_let_849)) :args ((or _let_819 _let_814 _let_816 (not _let_849)))) _let_861 _let_859 _let_858 _let_860 _let_856 _let_855 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_820 0)) (CONG _let_854 (MACRO_SR_PRED_INTRO :args ((= (not _let_819) _let_818))) :args _let_269)) :args ((or _let_818 _let_820))) :args ((or tptp.hskp4 _let_853 _let_820) false _let_840 false _let_852 true _let_63 true _let_66 true _let_69 false _let_381 false tptp.hskp5 false tptp.ndr1_0 true tptp.hskp9 false _let_383 false tptp.ndr1_0 true _let_850 true _let_382 true _let_849 true _let_380 false _let_815 false _let_848 true _let_817 true _let_812 false _let_813 false _let_818)) _let_794 _let_792 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_786 :args (tptp.a673 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_789)) :args _let_784)) _let_788 _let_787 _let_783 _let_340 _let_782 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_349 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_348)) :args _let_347)) _let_350 _let_781 _let_780 _let_779 _let_340 _let_749 _let_565 _let_582 _let_588 _let_735 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_578 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_577)) :args _let_576)) _let_580 :args ((or _let_277 _let_676 _let_847) false _let_387 true _let_846 false _let_388 false tptp.ndr1_0 true _let_831 true _let_392 true _let_394 false tptp.hskp17 false tptp.ndr1_0 true _let_465 true _let_403 true _let_402 false _let_153 false tptp.hskp7 true tptp.hskp5 false _let_829 false _let_290 false tptp.ndr1_0 true tptp.hskp6 false _let_356 false _let_268 false _let_845 false _let_844 false _let_374 false _let_842 true tptp.hskp14 false _let_471 false _let_472 false _let_820 true tptp.hskp4 true tptp.hskp25 false _let_841 false _let_248 false _let_247 false _let_246 false tptp.ndr1_0 true tptp.hskp1 false _let_839 false _let_245 false _let_243 false _let_242 false _let_236 false tptp.ndr1_0 true tptp.hskp9 false _let_235 true tptp.hskp2 false _let_234 false _let_233 false _let_837 false _let_223)))) (let ((_let_886 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_887 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_888 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_889 (not _let_888))) (let ((_let_890 (or _let_889 _let_887 _let_886))) (let ((_let_891 (or _let_230 _let_229 _let_92))) (let ((_let_892 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_893 (not _let_892))) (let ((_let_894 (or _let_889 _let_893 _let_887))) (let ((_let_895 (not _let_886))) (let ((_let_896 (or _let_895 _let_893 _let_887))) (let ((_let_897 (not _let_722))) (let ((_let_898 (_let_897))) (let ((_let_899 (not _let_890))) (let ((_let_900 (not _let_896))) (let ((_let_901 (REFL :args (_let_894)))) (let ((_let_902 (MACRO_RESOLUTION_TRUST _let_755 _let_340 _let_754 _let_756 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_753 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 U) false))))) :args _let_751)) _let_701 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_890)) :args ((or _let_889 _let_887 _let_886 _let_899))) (REORDERING (CNF_OR_POS :args (_let_896)) :args ((or _let_893 _let_887 _let_895 _let_900))) (CNF_OR_NEG :args (_let_894 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_894 1)) (CONG _let_901 (MACRO_SR_PRED_INTRO :args ((= (not _let_893) _let_892))) :args _let_269)) :args ((or _let_892 _let_894))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_894 0)) (CONG _let_901 (MACRO_SR_PRED_INTRO :args ((= (not _let_889) _let_888))) :args _let_269)) :args ((or _let_888 _let_894))) :args ((or _let_894 _let_900 _let_899) true _let_886 true _let_887 false _let_892 false _let_888)) _let_704 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_898)) :args _let_898)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_897) _let_722))) (REFL :args ((not _let_894))) :args _let_269)) _let_631 _let_340 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_734 :args (tptp.a681 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_733)) :args _let_732)) _let_709 (REORDERING (CNF_OR_POS :args (_let_891)) :args ((or _let_92 _let_230 _let_229 (not _let_891)))) _let_708 _let_735 _let_585 _let_584 _let_583 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_441 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_440)) :args _let_439)) _let_757 _let_299 :args ((or _let_91 _let_213) false tptp.ndr1_0 true _let_293 true _let_294 true _let_290 true _let_295 true _let_896 true _let_298 true _let_894 false tptp.hskp11 false tptp.ndr1_0 true _let_722 true _let_221 true _let_891 true _let_698 false _let_233 true _let_92 false _let_161 false _let_163 false _let_890 false _let_235 true _let_280)))) (let ((_let_903 (not _let_827))) (let ((_let_904 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_827)) :args ((or _let_826 _let_824 _let_823 _let_903))) _let_884 :args ((or _let_826 _let_824 _let_881 _let_903) true _let_823)) _let_883 _let_882 _let_879 _let_875 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_649 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_648)) :args _let_647)) _let_461 _let_754 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_381 (= V W)))) _let_464 _let_755 _let_340 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) _let_340 _let_482 _let_340 _let_756 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_558 (= U V)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_403 (= U U)))) _let_478 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_497 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_700)) :args _let_496)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_593 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_592)) :args _let_591)) _let_567 (REORDERING (CNF_OR_POS :args (_let_822)) :args ((or _let_416 _let_412 _let_552 (not _let_822)))) (REORDERING (CNF_OR_POS :args (_let_821)) :args ((or _let_416 _let_414 _let_552 (not _let_821)))) _let_568 _let_569 _let_548 _let_547 _let_546 _let_488 _let_544 _let_493 _let_541 _let_866 _let_539 _let_860 _let_513 _let_749 _let_861 _let_426 _let_745 _let_423 _let_747 _let_340 _let_419 _let_340 _let_746 _let_418 _let_608 _let_762 _let_759 _let_902 _let_757 _let_279 _let_299 _let_885 _let_832 _let_573 _let_674 :args ((or tptp.hskp27 _let_659) true _let_824 false _let_825 true _let_831 false _let_829 false _let_827 true _let_392 false _let_290 false _let_381 true _let_394 false _let_293 false tptp.ndr1_0 false (forall ((W $$unsorted)) (or (not (tptp.c1_1 W)) (tptp.c0_1 W) (tptp.c3_1 W))) false tptp.ndr1_0 false tptp.hskp17 false tptp.ndr1_0 true _let_294 true (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c2_1 V))) true (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (tptp.c2_1 U))) true _let_465 true _let_295 true _let_558 true _let_403 true _let_822 true _let_821 true _let_553 true _let_552 false _let_411 false _let_413 false _let_415 true tptp.hskp14 true _let_417 false _let_471 true _let_410 false _let_472 true _let_409 false _let_820 false tptp.hskp28 true tptp.hskp9 false _let_817 true tptp.hskp19 false _let_380 false _let_328 false _let_741 false tptp.ndr1_0 false _let_330 false tptp.ndr1_0 true _let_742 true _let_333 true _let_268 true _let_266 false _let_265 true tptp.hskp10 false _let_235 true _let_261 true _let_280 true _let_213 false _let_811 false _let_555 false _let_391)) _let_804 :args (tptp.hskp27 false _let_214)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_760 _let_764 _let_273 _let_275 _let_778 _let_272 _let_803 _let_672 _let_738 _let_737 _let_743 _let_744 _let_866 _let_860 _let_861 _let_745 _let_747 _let_340 _let_902 _let_746 _let_608 _let_762 _let_759 _let_758 _let_757 _let_279 _let_276 :args ((or _let_213 _let_693 _let_690) true _let_225 true _let_224 false _let_253 true _let_267 true _let_255 true _let_221 true _let_220 true _let_214 true _let_736 false _let_688 false _let_740 false _let_472 false _let_820 false _let_817 false _let_380 false _let_741 false tptp.ndr1_0 true tptp.hskp10 true _let_742 true _let_268 true _let_266 false _let_265 false _let_262 false _let_235 true _let_261 true _let_256)) (MACRO_RESOLUTION_TRUST _let_686 _let_904 :args (_let_185 false tptp.hskp27)) (MACRO_RESOLUTION_TRUST _let_885 (MACRO_RESOLUTION_TRUST _let_674 _let_804 :args (_let_391 false _let_214)) (MACRO_RESOLUTION_TRUST _let_832 _let_804 :args (_let_811 false _let_214)) :args (_let_277 false _let_391 false _let_811)) (MACRO_RESOLUTION_TRUST _let_685 _let_904 :args (_let_190 false tptp.hskp27)) :args (false false _let_185 true _let_213 false _let_190)) :args ((or _let_206 tptp.ndr1_0) _let_212 (or _let_193 tptp.ndr1_0) (or _let_186 tptp.ndr1_0) (or _let_140 tptp.ndr1_0) (or _let_130 tptp.ndr1_0) (or _let_129 tptp.ndr1_0) (or _let_128 tptp.ndr1_0) (or _let_127 tptp.ndr1_0) (or _let_126 tptp.ndr1_0) (or _let_122 tptp.ndr1_0) (or _let_118 tptp.ndr1_0) (or _let_117 tptp.ndr1_0) (or _let_110 tptp.ndr1_0) _let_211 (or _let_105 tptp.ndr1_0) (or _let_101 tptp.ndr1_0) (or _let_100 tptp.ndr1_0) (or _let_99 tptp.ndr1_0) (or _let_95 tptp.ndr1_0) (or _let_91 tptp.ndr1_0) (or _let_84 tptp.ndr1_0) (or _let_80 tptp.ndr1_0) (or _let_76 tptp.ndr1_0) (or _let_72 tptp.ndr1_0) (or _let_62 tptp.ndr1_0) (or _let_52 tptp.ndr1_0) (or _let_51 tptp.ndr1_0) (or _let_44 tptp.ndr1_0) (or _let_37 tptp.ndr1_0) _let_210 (or tptp.hskp27 tptp.hskp24 tptp.hskp18) (or tptp.hskp28 tptp.hskp30 tptp.hskp11) _let_209 (or tptp.hskp13 tptp.hskp12 tptp.hskp25) (or tptp.hskp30 tptp.hskp26 tptp.hskp12) (or tptp.hskp11 tptp.hskp21 tptp.hskp2) (or tptp.hskp24 tptp.hskp18 tptp.hskp4) _let_208 (or tptp.hskp22 tptp.hskp8 tptp.hskp0) _let_207 (or _let_206 (tptp.c0_1 tptp.a753)) (or _let_206 (tptp.c2_1 tptp.a753)) (or _let_206 (tptp.c3_1 tptp.a753)) _let_205 _let_203 _let_201 _let_198 _let_196 _let_194 _let_191 _let_189 _let_187 (or _let_140 (tptp.c1_1 tptp.a762)) (or _let_129 (tptp.c0_1 tptp.a731)) (or _let_128 (tptp.c0_1 tptp.a730)) (or _let_128 (tptp.c2_1 tptp.a730)) (or _let_127 (tptp.c1_1 tptp.a716)) (or _let_127 (tptp.c2_1 tptp.a716)) (or _let_126 (tptp.c0_1 tptp.a715)) _let_184 _let_182 _let_180 _let_178 (or _let_117 (tptp.c3_1 tptp.a708)) _let_176 (or _let_109 (tptp.c2_1 tptp.a702)) (or _let_109 (tptp.c3_1 tptp.a702)) _let_174 _let_172 _let_170 (or _let_100 (tptp.c0_1 tptp.a688)) (or _let_100 (tptp.c1_1 tptp.a688)) (or _let_99 (tptp.c3_1 tptp.a684)) _let_168 _let_166 _let_164 _let_162 _let_160 _let_158 _let_156 _let_154 _let_152 _let_150 _let_148 (or _let_51 (tptp.c2_1 tptp.a671)) _let_146 _let_144 _let_142 (or (not (tptp.c0_1 tptp.a762)) _let_140) (or (not (tptp.c3_1 tptp.a762)) _let_140) _let_139 _let_136 _let_133 (or (not (tptp.c1_1 tptp.a731)) _let_129) (or (not (tptp.c3_1 tptp.a731)) _let_129) (or (not (tptp.c1_1 tptp.a730)) _let_128) (or (not (tptp.c3_1 tptp.a716)) _let_127) (or (not (tptp.c2_1 tptp.a715)) _let_126) (or (not (tptp.c3_1 tptp.a715)) _let_126) _let_125 _let_121 (or (not (tptp.c1_1 tptp.a708)) _let_117) (or (not (tptp.c2_1 tptp.a708)) _let_117) _let_116 _let_113 (or (not (tptp.c1_1 tptp.a702)) _let_109) _let_108 (or (not (tptp.c3_1 tptp.a700)) _let_105) _let_104 (or (not (tptp.c3_1 tptp.a688)) _let_100) (or (not (tptp.c0_1 tptp.a684)) _let_99) (or (not (tptp.c2_1 tptp.a684)) _let_99) _let_98 _let_94 _let_90 _let_87 _let_83 _let_79 _let_75 _let_71 _let_68 _let_65 _let_61 _let_58 _let_55 (or (not (tptp.c0_1 tptp.a671)) _let_51) (or (not (tptp.c1_1 tptp.a671)) _let_51) _let_50 _let_47 _let_43 _let_40 _let_36 (or (not (tptp.c3_1 tptp.a668)) _let_33) _let_32 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp3 tptp.hskp4)) _let_31 _let_30 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp13 tptp.hskp9)) _let_29 _let_28 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp14 tptp.hskp1)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp20 tptp.hskp13)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp1 tptp.hskp15)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp21 tptp.hskp22)) _let_27 _let_26 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp20 tptp.hskp19)) _let_25 _let_24 _let_23 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp11 tptp.hskp16)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp24 tptp.hskp19)) _let_22 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp28 tptp.hskp10)) _let_21 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp14 tptp.hskp24)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp1 tptp.hskp21)) _let_20 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp23 tptp.hskp16)) _let_19 _let_18 (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.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp0)) _let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp5)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp10)) _let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_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.c2_1 V) tptp.hskp7)) (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.c0_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp0)) (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)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp8)) (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)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp12)) _let_15 _let_14 _let_13 (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) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp18)) (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)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp6)) _let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c1_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.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp28)) (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.hskp12)) _let_11 (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.hskp3)) (forall ((U $$unsorted) (V $$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.hskp16)) (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.c3_1 U) (tptp.c0_1 V) tptp.hskp17)) _let_10 (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.c3_1 V)) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp16)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_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.hskp23)) (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) (not (tptp.c1_1 V)) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp5)) (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)) (not (tptp.c2_1 V)) (tptp.c0_1 V) tptp.hskp15)) (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) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c3_1 V) tptp.hskp21)) _let_9 _let_8 _let_7 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c2_1 W))) _let_6 (forall ((U $$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.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_5 _let_4 _let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c2_1 W))) _let_2 (forall ((U $$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.c1_1 V)) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c3_1 W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c0_1 W)) (tptp.c3_1 V) (tptp.c1_1 W) (tptp.c3_1 W))) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.75  )
% 0.22/0.75  % SZS output end Proof for SYN511-1
% 0.22/0.75  % cvc5---1.0.5 exiting
% 0.22/0.75  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------