TSTP Solution File: SYN451-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN451-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 02:03:18 EDT 2023

% Result   : Unsatisfiable 0.54s 0.75s
% Output   : Proof 0.60s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYN451-1 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 21:29:05 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.dwELLugP0S/cvc5---1.0.5_30596.p...
% 0.21/0.53  ------- get file name : TPTP file name is SYN451-1
% 0.21/0.54  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30596.smt2...
% 0.21/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.54/0.75  % SZS status Unsatisfiable for SYN451-1
% 0.54/0.75  % SZS output start Proof for SYN451-1
% 0.60/0.77  (
% 0.60/0.77  (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (not (tptp.c3_1 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c0_1 W))))) (let ((_let_2 (forall ((U $$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.c3_1 W)) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c2_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 W)) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c1_1 W) (tptp.c3_1 W))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (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.c3_1 W)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c2_1 W))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c3_1 W))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c3_1 V) tptp.hskp1)))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp26)))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp15)))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp5)))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp11)))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) tptp.hskp2)))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp13)))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp11)))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp10)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp5)))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp25)))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp3)))) (let ((_let_18 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp21)))) (let ((_let_19 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp18 tptp.hskp11)))) (let ((_let_20 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp5 tptp.hskp20)))) (let ((_let_21 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp16 tptp.hskp3)))) (let ((_let_22 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp25 tptp.hskp9)))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp6 tptp.hskp4)))) (let ((_let_24 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp25 tptp.hskp6)))) (let ((_let_25 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp1 tptp.hskp2)))) (let ((_let_26 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp0 tptp.hskp1)))) (let ((_let_27 (not tptp.hskp0))) (let ((_let_28 (tptp.c1_1 tptp.a730))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_27))) (let ((_let_31 (not tptp.hskp1))) (let ((_let_32 (tptp.c2_1 tptp.a731))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31))) (let ((_let_35 (not tptp.hskp2))) (let ((_let_36 (tptp.c2_1 tptp.a732))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_35))) (let ((_let_39 (tptp.c0_1 tptp.a732))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_35))) (let ((_let_42 (not tptp.hskp3))) (let ((_let_43 (tptp.c1_1 tptp.a733))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_42))) (let ((_let_46 (tptp.c0_1 tptp.a733))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_42))) (let ((_let_49 (not tptp.hskp4))) (let ((_let_50 (tptp.c3_1 tptp.a734))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_49))) (let ((_let_53 (tptp.c0_1 tptp.a734))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_49))) (let ((_let_56 (not tptp.hskp5))) (let ((_let_57 (tptp.c0_1 tptp.a735))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56))) (let ((_let_60 (not tptp.hskp6))) (let ((_let_61 (tptp.c2_1 tptp.a738))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_60))) (let ((_let_64 (tptp.c0_1 tptp.a738))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_60))) (let ((_let_67 (not tptp.hskp7))) (let ((_let_68 (tptp.c0_1 tptp.a741))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_67))) (let ((_let_71 (not tptp.hskp8))) (let ((_let_72 (tptp.c1_1 tptp.a744))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_71))) (let ((_let_75 (tptp.c0_1 tptp.a744))) (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.a746))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_80 _let_78))) (let ((_let_82 (tptp.c0_1 tptp.a746))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_83 _let_78))) (let ((_let_85 (not tptp.hskp10))) (let ((_let_86 (tptp.c2_1 tptp.a748))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_85))) (let ((_let_89 (tptp.c1_1 tptp.a748))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_90 _let_85))) (let ((_let_92 (tptp.c0_1 tptp.a748))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_93 _let_85))) (let ((_let_95 (not tptp.hskp11))) (let ((_let_96 (tptp.c3_1 tptp.a749))) (let ((_let_97 (not _let_96))) (let ((_let_98 (or _let_97 _let_95))) (let ((_let_99 (tptp.c1_1 tptp.a749))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_100 _let_95))) (let ((_let_102 (tptp.c0_1 tptp.a749))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_95))) (let ((_let_105 (not tptp.hskp12))) (let ((_let_106 (not tptp.hskp13))) (let ((_let_107 (tptp.c1_1 tptp.a759))) (let ((_let_108 (not _let_107))) (let ((_let_109 (or _let_108 _let_106))) (let ((_let_110 (not tptp.hskp14))) (let ((_let_111 (not tptp.hskp15))) (let ((_let_112 (tptp.c2_1 tptp.a763))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_113 _let_111))) (let ((_let_115 (not tptp.hskp16))) (let ((_let_116 (tptp.c3_1 tptp.a764))) (let ((_let_117 (not _let_116))) (let ((_let_118 (or _let_117 _let_115))) (let ((_let_119 (not tptp.hskp17))) (let ((_let_120 (not tptp.hskp18))) (let ((_let_121 (tptp.c2_1 tptp.a775))) (let ((_let_122 (not _let_121))) (let ((_let_123 (or _let_122 _let_120))) (let ((_let_124 (not tptp.hskp19))) (let ((_let_125 (not tptp.hskp20))) (let ((_let_126 (tptp.c3_1 tptp.a779))) (let ((_let_127 (not _let_126))) (let ((_let_128 (or _let_127 _let_125))) (let ((_let_129 (tptp.c1_1 tptp.a779))) (let ((_let_130 (not _let_129))) (let ((_let_131 (or _let_130 _let_125))) (let ((_let_132 (not tptp.hskp21))) (let ((_let_133 (tptp.c2_1 tptp.a793))) (let ((_let_134 (not _let_133))) (let ((_let_135 (or _let_134 _let_132))) (let ((_let_136 (not tptp.hskp22))) (let ((_let_137 (not tptp.hskp23))) (let ((_let_138 (tptp.c3_1 tptp.a798))) (let ((_let_139 (not _let_138))) (let ((_let_140 (or _let_139 _let_137))) (let ((_let_141 (not tptp.hskp24))) (let ((_let_142 (tptp.c3_1 tptp.a802))) (let ((_let_143 (not _let_142))) (let ((_let_144 (or _let_143 _let_141))) (let ((_let_145 (tptp.c2_1 tptp.a802))) (let ((_let_146 (not _let_145))) (let ((_let_147 (or _let_146 _let_141))) (let ((_let_148 (tptp.c3_1 tptp.a730))) (let ((_let_149 (or _let_27 _let_148))) (let ((_let_150 (tptp.c0_1 tptp.a730))) (let ((_let_151 (or _let_27 _let_150))) (let ((_let_152 (tptp.c3_1 tptp.a731))) (let ((_let_153 (or _let_31 _let_152))) (let ((_let_154 (tptp.c1_1 tptp.a731))) (let ((_let_155 (or _let_31 _let_154))) (let ((_let_156 (tptp.c2_1 tptp.a733))) (let ((_let_157 (or _let_42 _let_156))) (let ((_let_158 (tptp.c1_1 tptp.a734))) (let ((_let_159 (or _let_49 _let_158))) (let ((_let_160 (tptp.c3_1 tptp.a735))) (let ((_let_161 (or _let_56 _let_160))) (let ((_let_162 (tptp.c2_1 tptp.a735))) (let ((_let_163 (or _let_56 _let_162))) (let ((_let_164 (tptp.c1_1 tptp.a738))) (let ((_let_165 (or _let_60 _let_164))) (let ((_let_166 (tptp.c3_1 tptp.a741))) (let ((_let_167 (or _let_67 _let_166))) (let ((_let_168 (tptp.c1_1 tptp.a741))) (let ((_let_169 (or _let_67 _let_168))) (let ((_let_170 (tptp.c3_1 tptp.a744))) (let ((_let_171 (or _let_71 _let_170))) (let ((_let_172 (tptp.c3_1 tptp.a746))) (let ((_let_173 (or _let_78 _let_172))) (let ((_let_174 (tptp.c3_1 tptp.a759))) (let ((_let_175 (or _let_106 _let_174))) (let ((_let_176 (tptp.c2_1 tptp.a759))) (let ((_let_177 (or _let_106 _let_176))) (let ((_let_178 (tptp.c1_1 tptp.a763))) (let ((_let_179 (or _let_111 _let_178))) (let ((_let_180 (tptp.c0_1 tptp.a763))) (let ((_let_181 (or _let_111 _let_180))) (let ((_let_182 (tptp.c2_1 tptp.a764))) (let ((_let_183 (or _let_115 _let_182))) (let ((_let_184 (tptp.c0_1 tptp.a764))) (let ((_let_185 (or _let_115 _let_184))) (let ((_let_186 (tptp.c1_1 tptp.a775))) (let ((_let_187 (or _let_120 _let_186))) (let ((_let_188 (tptp.c2_1 tptp.a779))) (let ((_let_189 (or _let_125 _let_188))) (let ((_let_190 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QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_625)) :args _let_549)))) (let ((_let_627 (not _let_425))) (let ((_let_628 (not _let_392))) (let ((_let_629 (REORDERING (ASSUME :args (_let_41)) :args ((or _let_35 _let_40))))) (let ((_let_630 (REORDERING (ASSUME :args (_let_38)) :args ((or _let_35 _let_37))))) (let ((_let_631 (REORDERING (CNF_OR_POS :args (_let_392)) :args ((or _let_39 _let_36 _let_391 _let_628))))) (let ((_let_632 (REORDERING (CNF_OR_POS :args (_let_425)) :args ((or _let_39 _let_36 _let_390 _let_627))))) (let ((_let_633 (MACRO_RESOLUTION_TRUST _let_632 _let_631 _let_630 _let_629 :args ((or _let_35 _let_628 _let_627) true _let_390 true _let_36 true _let_39)))) (let ((_let_634 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp2 tptp.hskp1 _let_487 _let_426))))) (let ((_let_635 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_359 (= U U)))))) (let ((_let_636 (_let_359))) (let ((_let_637 ((not (= (tptp.c2_1 U) false))))) (let ((_let_638 (ASSUME :args _let_636))) (let ((_let_639 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_638 :args (tptp.a759 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_637)) :args _let_636)))) (let ((_let_640 (not _let_423))) (let ((_let_641 (not _let_422))) (let ((_let_642 (ASSUME :args (_let_177)))) (let ((_let_643 (ASSUME :args (_let_175)))) (let ((_let_644 (REORDERING (ASSUME :args (_let_109)) :args ((or _let_106 _let_108))))) (let ((_let_645 (REORDERING (CNF_OR_POS :args (_let_422)) :args ((or _let_414 _let_413 _let_421 _let_641))))) (let ((_let_646 (MACRO_RESOLUTION_TRUST _let_645 (REORDERING (CNF_OR_POS :args (_let_423)) :args ((or _let_107 _let_414 _let_420 _let_640))) _let_644 _let_643 _let_642 :args ((or _let_106 _let_641 _let_640) false _let_420 true _let_107 false _let_174 false _let_176)))) (let ((_let_647 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp13 _let_487 _let_327 _let_456))))) 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(_let_70)) :args ((or _let_67 _let_69))))) (let ((_let_660 (_let_460))) (let ((_let_661 ((not (= (tptp.c0_1 U) false))))) (let ((_let_662 (ASSUME :args _let_660))) (let ((_let_663 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_662 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_661)) :args _let_660)))) (let ((_let_664 (not _let_462))) (let ((_let_665 (not _let_454))) (let ((_let_666 (REFL :args (_let_463)))) (let ((_let_667 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_462)) :args ((or _let_453 _let_461 _let_450 _let_664))) (REORDERING (CNF_OR_POS :args (_let_454)) :args ((or _let_453 _let_449 _let_451 _let_665))) (CNF_OR_NEG :args (_let_463 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_463 1)) (CONG _let_666 (MACRO_SR_PRED_INTRO :args ((= (not _let_449) _let_448))) :args _let_430)) :args ((or _let_448 _let_463))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_463 0)) (CONG _let_666 (MACRO_SR_PRED_INTRO :args ((= (not _let_453) 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2)))) (let ((_let_677 (REORDERING (CNF_OR_POS :args (_let_447)) :args ((or _let_237 _let_230 _let_232 _let_671))))) (let ((_let_678 (not _let_470))) (let ((_let_679 (not _let_244))) (let ((_let_680 (_let_679))) (let ((_let_681 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_680)) :args _let_680)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_679) _let_244))) (REFL :args (_let_678)) :args _let_430)))) (let ((_let_682 (MACRO_RESOLUTION_TRUST _let_595 _let_592 _let_590 _let_589 _let_588 :args ((or _let_71 _let_591 _let_594) false _let_246 true _let_72 true _let_75 false _let_170)))) (let ((_let_683 (_let_234))) (let ((_let_684 (REFL :args (_let_476)))) (let ((_let_685 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_476 1)) (CONG _let_684 (MACRO_SR_PRED_INTRO :args ((= (not _let_466) _let_465))) :args _let_430)) :args ((or _let_465 _let_476))))) (let ((_let_686 (not _let_469))) (let ((_let_687 ((not (= (tptp.c0_1 U) false))))) (let ((_let_688 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (tptp.a763 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_687)) :args _let_556)))) (let ((_let_689 (not _let_330))) (let ((_let_690 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_330)) :args ((or _let_112 _let_329 _let_328 _let_689))) (REORDERING (ASSUME :args (_let_114)) :args ((or _let_111 _let_113))) (ASSUME :args (_let_179)) (ASSUME :args (_let_181)) :args ((or _let_111 _let_689) true _let_112 false _let_178 false _let_180)))) (let ((_let_691 (not _let_401))) (let ((_let_692 (not _let_384))) (let ((_let_693 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_694 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_695 (or _let_694 _let_693 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_696 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_697 (or _let_694 _let_693 _let_696))) (let ((_let_698 (not _let_696))) (let ((_let_699 (or _let_698 _let_694 _let_693))) (let ((_let_700 (MACRO_RESOLUTION_TRUST _let_535 _let_532 _let_530 :args ((or _let_95 _let_99 _let_534) true _let_96 true _let_102)))) (let ((_let_701 (not _let_360))) (let ((_let_702 (_let_701))) (let ((_let_703 (not _let_405))) (let ((_let_704 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_705 (or _let_397 _let_393 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_706 (or _let_397 _let_394 _let_393))) (let ((_let_707 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (tptp.c1_1 V) (tptp.c2_1 V))))) (let ((_let_708 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_709 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_710 (not _let_709))) (let ((_let_711 (or _let_710 _let_257 _let_255))) (let ((_let_712 (not _let_207))) (let ((_let_713 (not _let_210))) (let ((_let_714 (not _let_212))) (let ((_let_715 (or _let_714 _let_713 _let_712))) (let ((_let_716 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_717 (not _let_716))) (let ((_let_718 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_719 (not _let_718))) (let ((_let_720 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_721 (not _let_720))) (let ((_let_722 (or _let_721 _let_719 _let_717))) (let ((_let_723 (or _let_311 _let_295 _let_313))) (let ((_let_724 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)))))) (let ((_let_725 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_726 (not _let_385))) (let ((_let_727 (or _let_726 _let_386 _let_725))) (let ((_let_728 (or _let_388 _let_386 _let_725))) (let ((_let_729 (not _let_182))) (let ((_let_730 (or _let_729 _let_406 _let_116))) (let ((_let_731 (not _let_374))) (let ((_let_732 (or _let_731 _let_375 _let_68))) (let ((_let_733 (not _let_409))) (let ((_let_734 (not _let_389))) (let ((_let_735 (not _let_377))) (let ((_let_736 (not _let_399))) (let ((_let_737 (not _let_398))) (let ((_let_738 (not _let_410))) (let ((_let_739 (_let_738))) (let ((_let_740 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_460 (= U V)))))) (let ((_let_741 (not _let_172))) (let ((_let_742 (or _let_741 _let_82 _let_79))) (let ((_let_743 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp25 tptp.hskp9 _let_487 _let_410))))) (let ((_let_744 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_579 :args (tptp.a746 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_578)) :args _let_577)))) (let ((_let_745 (not _let_742))) (let ((_let_746 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_742)) :args ((or _let_82 _let_79 _let_741 _let_745))) (REORDERING (ASSUME :args (_let_81)) :args ((or _let_78 _let_80))) (REORDERING (ASSUME :args (_let_84)) :args ((or _let_78 _let_83))) (ASSUME :args (_let_173)) :args ((or _let_78 _let_745) true _let_79 true _let_82 false _let_172)))) (let ((_let_747 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_315 (= U U)))))) (let ((_let_748 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp21 _let_487 _let_315))))) (let ((_let_749 (not _let_711))) (let ((_let_750 (not _let_315))) (let ((_let_751 (_let_750))) (let ((_let_752 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_751)) :args _let_751)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_750) _let_315))) (REFL :args (_let_749)) :args _let_430)))) (let ((_let_753 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp26 _let_487 _let_708 _let_707))))) (let ((_let_754 (not _let_326))) (let ((_let_755 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_326)) :args ((or _let_133 _let_325 _let_324 _let_754))) (REORDERING (ASSUME :args (_let_135)) :args ((or _let_132 _let_134))) (ASSUME :args (_let_191)) (ASSUME :args (_let_193)) :args ((or _let_132 _let_754) true _let_133 false _let_190 false _let_192)))) (let ((_let_756 (REFL :args (_let_711)))) (let ((_let_757 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_711 0)) (CONG _let_756 (MACRO_SR_PRED_INTRO :args ((= (not _let_710) _let_709))) :args _let_430)) :args ((or _let_709 _let_711))))) (let ((_let_758 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_711 1)) (CONG _let_756 (MACRO_SR_PRED_INTRO :args ((= (not _let_257) _let_256))) :args _let_430)) :args ((or _let_256 _let_711))))) (let ((_let_759 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_711 2)) (CONG _let_756 (MACRO_SR_PRED_INTRO :args ((= (not _let_255) _let_254))) :args _let_430)) :args ((or _let_254 _let_711))))) (let ((_let_760 (not _let_715))) (let ((_let_761 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_715)) :args ((or _let_714 _let_713 _let_712 _let_760))) (ASSUME :args (_let_209)) (ASSUME :args (_let_211)) (ASSUME :args (_let_213)) :args ((or _let_208 _let_760) false _let_207 false _let_210 false _let_212)))) (let ((_let_762 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_607 :args (tptp.a793 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_670)) :args _let_605)))) (let ((_let_763 (_let_261))) (let ((_let_764 ((not (= (tptp.c1_1 U) false))))) (let ((_let_765 (ASSUME :args _let_763))) (let ((_let_766 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_765 :args (tptp.a737 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_764)) :args _let_763)))) (let ((_let_767 (not _let_261))) (let ((_let_768 (_let_767))) (let ((_let_769 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_768)) :args _let_768)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_767) _let_261))) (REFL :args ((not _let_722))) :args _let_430)))) (let ((_let_770 (REFL :args (_let_722)))) (let ((_let_771 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_722 0)) (CONG _let_770 (MACRO_SR_PRED_INTRO :args ((= (not _let_721) _let_720))) :args _let_430)) :args ((or _let_720 _let_722))))) (let ((_let_772 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_722 1)) (CONG _let_770 (MACRO_SR_PRED_INTRO :args ((= (not _let_719) _let_718))) :args _let_430)) :args ((or _let_718 _let_722))))) (let ((_let_773 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_722 2)) (CONG _let_770 (MACRO_SR_PRED_INTRO :args ((= (not _let_717) _let_716))) :args _let_430)) :args ((or _let_716 _let_722))))) (let ((_let_774 (or _let_710 _let_259 _let_255))) (let ((_let_775 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_776 (not _let_775))) (let ((_let_777 (or _let_776 _let_721 _let_717))) (let ((_let_778 (or _let_719 _let_717 _let_775))) (let ((_let_779 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_551 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_625)) :args _let_549)))) (let ((_let_780 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_551 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_550)) :args _let_549)))) (let ((_let_781 (REORDERING (CNF_OR_POS :args (_let_774)) :args ((or _let_710 _let_255 _let_259 (not _let_774)))))) (let ((_let_782 (not _let_777))) (let ((_let_783 (REORDERING (CNF_OR_POS :args (_let_777)) :args ((or _let_721 _let_717 _let_776 _let_782))))) (let ((_let_784 (REORDERING (CNF_OR_POS :args (_let_258)) :args ((or _let_257 _let_255 _let_253 (not _let_258)))))) (let ((_let_785 (not _let_778))) (let ((_let_786 (REORDERING (CNF_OR_POS :args (_let_778)) :args ((or _let_719 _let_717 _let_775 _let_785))))) (let ((_let_787 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_601)) :args _let_600)))) (let ((_let_788 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_598 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_597)) :args _let_596)))) (let ((_let_789 (MACRO_RESOLUTION_TRUST _let_608 _let_486 _let_268 _let_604 _let_788 _let_787 _let_786 _let_784 _let_783 _let_781 _let_780 _let_779 :args ((or _let_242 _let_622 _let_710 _let_257 _let_255 _let_721 _let_719 _let_717) false tptp.ndr1_0 true _let_241 true _let_243 true _let_239 true _let_244 true _let_778 true _let_258 true _let_775 true _let_253 false _let_777 false _let_774)))) (let ((_let_790 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp15 _let_487 _let_309 _let_335))))) (let ((_let_791 (not _let_723))) (let ((_let_792 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_338 (= U V)))))) (let ((_let_793 (_let_724))) (let ((_let_794 (_let_338))) (let ((_let_795 ((not (= (tptp.c2_1 U) false))))) (let ((_let_796 (ASSUME :args _let_794))) (let ((_let_797 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_796 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_795)) :args _let_794)))) (let ((_let_798 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_796 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_795)) :args _let_794)))) (let ((_let_799 (not _let_727))) (let ((_let_800 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_727)) :args ((or _let_386 _let_725 _let_726 _let_799))) (REORDERING (CNF_OR_POS :args (_let_389)) :args ((or _let_388 _let_386 _let_385 _let_734))) (CNF_OR_NEG :args (_let_728 2)) (CNF_OR_NEG :args (_let_728 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_728 0)) (CONG (REFL :args (_let_728)) (MACRO_SR_PRED_INTRO :args ((= (not _let_388) _let_387))) :args _let_430)) :args ((or _let_387 _let_728))) :args ((or _let_728 _let_734 _let_799) false _let_385 true _let_725 true _let_386 false _let_387)))) (let ((_let_801 (not _let_341))) (let ((_let_802 (_let_801))) (let ((_let_803 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_802)) :args _let_802)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_801) _let_341))) (REFL :args ((not _let_728))) :args _let_430)))) (let ((_let_804 (_let_223))) (let ((_let_805 ((not (= (tptp.c2_1 V) false))))) (let ((_let_806 (ASSUME :args _let_804))) (let ((_let_807 (REORDERING (CNF_OR_POS :args (_let_377)) :args ((or _let_376 _let_375 _let_374 _let_735))))) (let ((_let_808 (REORDERING (CNF_OR_POS :args (_let_732)) :args ((or _let_68 _let_375 _let_731 (not _let_732)))))) (let ((_let_809 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_598 :args (tptp.a741 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_597)) :args _let_596)))) (let ((_let_810 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_601)) :args _let_600)))) (let ((_let_811 (not _let_356))) (let ((_let_812 (not _let_346))) (let ((_let_813 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_356)) :args ((or _let_345 _let_354 _let_355 _let_811))) (REORDERING (CNF_OR_POS :args (_let_346)) :args ((or _let_345 _let_343 _let_342 _let_812))) (CNF_OR_NEG :args (_let_357 2)) (CNF_OR_NEG :args (_let_357 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_357 0)) (CONG (REFL :args (_let_357)) (MACRO_SR_PRED_INTRO :args ((= (not _let_345) _let_344))) :args _let_430)) :args ((or _let_344 _let_357))) :args ((or _let_357 _let_812 _let_811) false _let_342 true _let_354 true _let_343 false _let_344)))) (let ((_let_814 (not _let_359))) (let ((_let_815 (_let_814))) (let ((_let_816 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_815)) :args _let_815)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_814) _let_359))) (REFL :args ((not _let_357))) :args _let_430)))) (let ((_let_817 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_638 :args (tptp.a733 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_637)) :args _let_636)))) (let ((_let_818 (not _let_362))) (let ((_let_819 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_362)) :args ((or _let_46 _let_43 _let_361 _let_818))) (REORDERING (ASSUME :args (_let_45)) :args ((or _let_42 _let_44))) (REORDERING (ASSUME :args (_let_48)) :args ((or _let_42 _let_47))) (ASSUME :args (_let_157)) :args ((or _let_42 _let_818) true _let_43 true _let_46 false _let_156)))) (let ((_let_820 (_let_410))) (let ((_let_821 ((not (= (tptp.c0_1 U) false))))) (let ((_let_822 (ASSUME :args _let_820))) (let ((_let_823 (not _let_412))) (let ((_let_824 (not _let_415))) (let ((_let_825 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_415)) :args ((or _let_107 _let_414 _let_413 _let_824))) _let_644 _let_643 _let_642 :args ((or _let_106 _let_824) true _let_107 false _let_174 false _let_176)))) (let ((_let_826 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (tptp.a759 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_601)) :args _let_600)))) (let ((_let_827 (or _let_414 _let_413 _let_420))) (let ((_let_828 (_let_302))) (let ((_let_829 (not _let_302))) (let ((_let_830 (_let_829))) (let ((_let_831 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_308 0)) (CONG (REFL :args (_let_308)) (MACRO_SR_PRED_INTRO :args ((= (not _let_307) _let_306))) :args _let_430)) :args ((or _let_306 _let_308))))) (let ((_let_832 (CNF_OR_NEG :args (_let_308 1)))) (let ((_let_833 (or _let_300 _let_380 _let_297))) (let ((_let_834 (or _let_92 _let_89 _let_86))) (let ((_let_835 (tptp.c1_1 tptp.a735))) (let ((_let_836 (not _let_835))) (let ((_let_837 (or _let_836 _let_349 _let_348))) (let ((_let_838 (or _let_349 _let_348 _let_835))) (let ((_let_839 (not _let_380))) (let ((_let_840 (or _let_839 _let_298 _let_297))) (let ((_let_841 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_336 (= U V)))))) (let ((_let_842 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_336 (= U V)))))) (let ((_let_843 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_341 (= U U)))))) (let ((_let_844 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp5 _let_487 _let_347 _let_339))))) (let ((_let_845 (ASSUME :args (_let_163)))) (let ((_let_846 (ASSUME :args (_let_161)))) (let ((_let_847 (not _let_834))) (let ((_let_848 (REORDERING (ASSUME :args (_let_91)) :args ((or _let_85 _let_90))))) (let ((_let_849 (REORDERING (ASSUME :args (_let_94)) :args ((or _let_85 _let_93))))) (let ((_let_850 (REORDERING (ASSUME :args (_let_88)) :args ((or _let_85 _let_87))))) (let ((_let_851 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp10 _let_487 _let_239 _let_340))))) (let ((_let_852 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_598 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_597)) :args _let_596)))) (let ((_let_853 (MACRO_RESOLUTION_TRUST _let_786 _let_783 _let_773 _let_772 _let_771 :args ((or _let_722 _let_782 _let_785) true _let_775 false _let_716 false _let_718 false _let_720)))) (let ((_let_854 ((not (= (tptp.c2_1 U) false))))) (let ((_let_855 (REORDERING (CNF_OR_POS :args (_let_238)) :args ((or _let_237 _let_230 _let_231 (not _let_238)))))) (let ((_let_856 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_261 (= U U)))))) (let ((_let_857 (not _let_334))) (let ((_let_858 (not _let_333))) (let ((_let_859 (REORDERING (CNF_OR_POS :args (_let_333)) :args ((or _let_307 _let_305 _let_332 _let_858))))) (let ((_let_860 (REORDERING (ASSUME :args (_let_59)) :args ((or _let_56 _let_58))))) (let ((_let_861 (REORDERING (CNF_OR_POS :args (_let_350)) :args ((or _let_57 _let_349 _let_348 (not _let_350)))))) (let ((_let_862 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_598 :args (tptp.a735 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_597)) :args _let_596)))) (let ((_let_863 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_864 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_264 (= U W)))))) (let ((_let_865 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp3 _let_487 _let_303 _let_363))) _let_486 _let_819 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_360 (= U V)))) _let_817 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_542 :args (tptp.a748 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_541)) :args _let_540)) _let_816 (REORDERING (CNF_OR_POS :args (_let_358)) :args ((or _let_92 _let_89 _let_351 (not _let_358)))) _let_813 (REORDERING (CNF_OR_POS :args (_let_353)) :args ((or _let_92 _let_86 _let_352 (not _let_353)))) _let_810 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_579 :args (tptp.a748 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_578)) :args _let_577)) _let_604 _let_864 _let_850 _let_848 _let_849 _let_608 _let_486 _let_863 _let_486 _let_851 _let_486 _let_268 _let_267 _let_862 _let_861 _let_860 _let_846 _let_845 _let_844 _let_486 _let_843 _let_797 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_651 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_650)) :args _let_649)) _let_842 _let_841 _let_792 (REORDERING (CNF_OR_POS :args (_let_337)) :args ((or _let_307 _let_304 _let_331 (not _let_337)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_445 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_444)) :args _let_443)) _let_790 _let_486 _let_859 (MACRO_RESOLUTION_TRUST _let_859 (REORDERING (CNF_OR_POS :args (_let_334)) :args ((or _let_307 _let_305 _let_331 _let_857))) _let_832 _let_831 :args ((or _let_308 _let_858 _let_857) false _let_331 true _let_305 false _let_306)) _let_690 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_557)) :args _let_556)) _let_688 _let_762 _let_479 _let_856 _let_755 _let_493 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_765 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_764)) :args _let_763)) _let_748 _let_486 _let_494 (REORDERING (CNF_OR_POS :args (_let_316)) :args ((or _let_295 _let_293 _let_313 (not _let_316)))) _let_501 _let_620 _let_621 _let_619 _let_618 _let_624 (MACRO_RESOLUTION_TRUST _let_769 _let_853 _let_766 _let_788 _let_761 _let_268 _let_753 _let_486 _let_608 _let_486 _let_740 _let_604 _let_663 _let_787 _let_667 _let_784 _let_669 _let_781 _let_762 _let_759 _let_758 _let_757 _let_755 _let_752 _let_748 _let_486 _let_747 (MACRO_RESOLUTION_TRUST _let_855 _let_677 _let_675 _let_674 _let_681 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (tptp.a735 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_601)) :args _let_600)) (REORDERING (CNF_OR_POS :args (_let_838)) :args ((or _let_349 _let_348 _let_835 (not _let_838)))) (REORDERING (CNF_OR_POS :args (_let_837)) :args ((or _let_349 _let_348 _let_836 (not _let_837)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_765 :args (tptp.a735 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_854)) :args _let_763)) _let_769 _let_853 _let_788 _let_852 _let_851 _let_486 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_834)) :args ((or _let_92 _let_89 _let_86 _let_847))) _let_850 _let_849 :args ((or _let_85 _let_89 _let_847) true _let_86 true _let_92)) _let_848 :args ((or _let_85 _let_847) true _let_89)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_612 :args (tptp.a748 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_611)) :args _let_610)) (MACRO_RESOLUTION_TRUST _let_576 _let_572 _let_585 _let_571 _let_486 _let_587 _let_486 _let_570 :args ((or tptp.hskp25 tptp.hskp1 _let_424) false _let_227 true _let_475 false _let_564 false tptp.ndr1_0 false tptp.hskp0 false tptp.ndr1_0 true _let_563)) _let_846 _let_845 _let_844 _let_486 _let_843 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_651 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_650)) :args _let_649)) (REORDERING (CNF_OR_POS :args (_let_833)) :args ((or _let_300 _let_380 _let_297 (not _let_833)))) (CNF_OR_NEG :args (_let_381 1)) _let_442 _let_842 _let_841 (MACRO_RESOLUTION_TRUST _let_746 _let_743 _let_486 _let_744 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_822 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_821)) :args _let_820)) _let_514 (REORDERING (CNF_OR_POS :args (_let_840)) :args ((or _let_298 _let_839 _let_297 (not _let_840)))) _let_516 _let_486 (REORDERING (CNF_OR_POS :args _let_432) :args ((or _let_300 _let_380 _let_298 _let_439))) _let_518 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_445 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_444)) :args _let_443)) _let_519 :args ((or tptp.hskp25 _let_440 _let_300 _let_298 _let_297) false tptp.hskp9 false tptp.ndr1_0 false _let_742 true _let_410 false _let_264 true _let_840 false _let_504 false tptp.ndr1_0 false _let_380 true tptp.hskp6 false _let_381 false _let_506)) _let_503 _let_500 _let_498 :args ((or tptp.hskp1 _let_750 _let_300 _let_298 _let_297 _let_782) true _let_231 false _let_229 false _let_236 true _let_470 true _let_244 true _let_838 true _let_835 false _let_837 false _let_261 false _let_722 false _let_778 false _let_238 false _let_239 false tptp.ndr1_0 true tptp.hskp10 false _let_834 false _let_424 false _let_160 false _let_162 false tptp.hskp5 false tptp.ndr1_0 true _let_347 true _let_341 true _let_833 true _let_380 true _let_381 true _let_340 true _let_339 true _let_336 true tptp.hskp25 false _let_447 false _let_419)) _let_626 _let_780 _let_779 :args ((or tptp.hskp1 _let_622 _let_300 _let_298 _let_297) false _let_722 true _let_261 false _let_778 true _let_715 false _let_239 false tptp.hskp26 false tptp.ndr1_0 false _let_241 false tptp.ndr1_0 true _let_707 true _let_243 true _let_460 true _let_244 true _let_462 true _let_258 true _let_463 true _let_253 true _let_242 false _let_254 false _let_256 false _let_709 true _let_326 true _let_711 false tptp.hskp21 false tptp.ndr1_0 true _let_708 true _let_315 false _let_454 false _let_777 false _let_774)) (CNF_OR_NEG :args (_let_308 2)) _let_832 _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_302))) (REFL :args ((not _let_308))) :args _let_430)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_302 (= U U)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_828) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_828)) (REORDERING (CNF_OR_NEG :args (_let_301 2)) :args ((or _let_378 _let_301))) (REORDERING (CNF_OR_NEG :args (_let_301 1)) :args ((or (not _let_298) _let_301))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_301 0)) (CONG (REFL :args _let_435) _let_431 :args _let_430)) :args ((or _let_299 _let_301))) (MACRO_RESOLUTION_TRUST _let_634 _let_486 _let_633 _let_635 _let_613 _let_639 _let_609 _let_646 _let_503 _let_499 _let_498 _let_748 _let_486 _let_755 _let_762 (MACRO_RESOLUTION_TRUST _let_789 _let_773 _let_772 _let_771 _let_769 _let_766 _let_761 _let_759 _let_758 _let_757 _let_753 _let_486 _let_752 _let_747 _let_499 _let_645 (REORDERING (CNF_OR_POS :args (_let_827)) :args ((or _let_414 _let_413 _let_420 (not _let_827)))) _let_740 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_598 :args (tptp.a759 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_597)) :args _let_596)) _let_663 _let_268 _let_667 _let_608 _let_486 _let_669 _let_626 :args ((or _let_242 _let_243 _let_414 _let_413 _let_622) false _let_716 false _let_718 false _let_720 true _let_722 true _let_261 true _let_715 false _let_254 false _let_256 false _let_709 false tptp.hskp26 false tptp.ndr1_0 true _let_711 true _let_708 true _let_315 true _let_422 false _let_420 true _let_707 false _let_827 true _let_460 false _let_239 true _let_462 false _let_241 false tptp.ndr1_0 true _let_463 false _let_454)) (MACRO_RESOLUTION_TRUST _let_807 _let_808 _let_659 _let_658 _let_657 _let_809 _let_655 _let_268 _let_654 _let_608 _let_486 _let_652 _let_762 _let_803 _let_755 _let_800 _let_748 _let_486 _let_798 _let_501 _let_792 _let_621 _let_790 _let_486 _let_624 :args ((or tptp.hskp15 tptp.hskp1 _let_309 _let_243 _let_735 _let_615 _let_734) true _let_374 true _let_68 false _let_166 false _let_168 false _let_732 false tptp.hskp7 false _let_239 true tptp.hskp4 false _let_241 false tptp.ndr1_0 false _let_458 true _let_242 false _let_341 true _let_326 false _let_728 false tptp.hskp21 false tptp.ndr1_0 false _let_727 true _let_315 false _let_338 true _let_314 false _let_335 false tptp.ndr1_0 true _let_312)) _let_604 _let_826 _let_825 _let_643 _let_642 (REORDERING (ASSUME :args (_let_217)) :args ((or tptp.hskp24 tptp.hskp23 tptp.hskp13))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_412)) :args ((or _let_145 _let_142 _let_411 _let_823))) (REORDERING (ASSUME :args (_let_144)) :args ((or _let_141 _let_143))) (REORDERING (ASSUME :args (_let_147)) :args ((or _let_141 _let_146))) (ASSUME :args (_let_199)) :args ((or _let_141 _let_823) true _let_142 true _let_145 false _let_198)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_822 :args (tptp.a802 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_821)) :args _let_820)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_730)) :args ((or _let_116 _let_729 _let_406 (not _let_730)))) (REORDERING (CNF_OR_POS :args (_let_409)) :args ((or _let_116 _let_408 _let_407 _let_733))) (REORDERING (ASSUME :args (_let_118)) :args ((or _let_115 _let_117))) (ASSUME :args (_let_183)) (ASSUME :args (_let_185)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp16 tptp.hskp3 _let_487 _let_704))) _let_486 _let_819 _let_817 _let_816 _let_813 _let_810 _let_604 _let_608 _let_486 _let_268 _let_809 _let_808 _let_807 _let_659 _let_658 _let_657 _let_655 _let_654 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_806 :args (tptp.a764 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_805)) :args _let_804)) _let_652 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_223 (= V W)))) _let_803 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) _let_486 _let_800 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_724 (= U U)))) _let_798 _let_797 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_793) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_793)) _let_792 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_723)) :args ((or _let_311 _let_295 _let_313 _let_791))) (REORDERING (CNF_OR_POS :args (_let_399)) :args ((or _let_311 _let_295 _let_291 _let_736))) _let_618 _let_617 :args ((or _let_312 _let_736 _let_791) false _let_291 false _let_294 false _let_310)) _let_790 _let_486 _let_624 _let_789 _let_773 _let_772 _let_771 _let_769 _let_766 _let_762 _let_761 _let_759 _let_758 _let_757 _let_755 _let_753 _let_486 _let_752 _let_748 _let_486 _let_747 _let_498 _let_503 (MACRO_RESOLUTION_TRUST _let_746 _let_744 _let_743 _let_486 _let_562 :args ((or tptp.hskp25 _let_410 _let_427) false _let_742 false tptp.hskp9 false tptp.ndr1_0 false _let_264)) _let_740 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_662 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_661)) :args _let_660)) (REORDERING (CNF_OR_POS :args (_let_706)) :args ((or _let_397 _let_393 _let_394 (not _let_706)))) (REORDERING (CNF_OR_POS :args (_let_398)) :args ((or _let_397 _let_393 _let_395 _let_737))) (CNF_OR_NEG :args (_let_705 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_705 0)) (CONG (REFL :args (_let_705)) (MACRO_SR_PRED_INTRO :args ((= (not _let_397) _let_396))) :args _let_430)) :args ((or _let_396 _let_705))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_739)) :args _let_739)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_738) _let_410))) (REFL :args ((not _let_705))) :args _let_430)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_410 (= U V)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_410 (= U U)))) :args ((or tptp.hskp15 tptp.hskp1 _let_410 _let_737 _let_736 _let_735 _let_734 _let_427 _let_733) true _let_406 true _let_116 false _let_182 false _let_184 false tptp.hskp16 false tptp.ndr1_0 true tptp.hskp3 false _let_362 false _let_359 false _let_357 false _let_356 false _let_244 false _let_243 false tptp.ndr1_0 true _let_241 true _let_239 true _let_732 false _let_374 true _let_68 false _let_166 false _let_168 false tptp.hskp7 true tptp.hskp4 false _let_730 false _let_458 false _let_223 false _let_341 false (forall ((W $$unsorted)) (or (not (tptp.c2_1 W)) (tptp.c1_1 W) (tptp.c3_1 W))) false tptp.ndr1_0 false _let_728 true (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)))) false _let_727 false _let_346 true _let_724 false _let_338 true _let_723 false _let_335 false tptp.ndr1_0 true _let_312 true _let_309 false _let_716 false _let_718 false _let_720 true _let_722 true _let_261 true _let_242 true _let_715 false _let_254 false _let_256 false _let_709 true _let_326 false tptp.hskp26 false tptp.ndr1_0 true _let_711 false tptp.hskp21 false tptp.ndr1_0 true _let_708 true _let_315 true _let_419 false tptp.hskp25 true _let_707 true _let_460 true _let_706 true _let_394 true _let_393 false _let_396 true _let_705 true (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (tptp.c2_1 V) (tptp.c3_1 V))) true _let_704)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_405)) :args ((or _let_138 _let_404 _let_403 _let_703))) (REORDERING (ASSUME :args (_let_140)) :args ((or _let_137 _let_139))) (ASSUME :args (_let_195)) (ASSUME :args (_let_197)) :args ((or _let_137 _let_703) true _let_138 false _let_194 false _let_196)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_492 :args (tptp.a764 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_491)) :args _let_490)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_492 :args (tptp.a798 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_491)) :args _let_490)) (MACRO_RESOLUTION_TRUST _let_632 _let_631 _let_630 _let_629 _let_634 _let_486 _let_635 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_638 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) true))))) :args _let_636)) (REORDERING (CNF_OR_POS :args (_let_699)) :args ((or _let_694 _let_693 _let_698 (not _let_699)))) (REORDERING (CNF_OR_POS :args (_let_697)) :args ((or _let_694 _let_693 _let_696 (not _let_697)))) _let_613 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_612 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_611)) :args _let_610)) _let_609 (CNF_OR_NEG :args (_let_695 1)) (CNF_OR_NEG :args (_let_695 0)) _let_503 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_702)) :args _let_702)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_701) _let_360))) (REFL :args ((not _let_695))) :args _let_430)) _let_498 _let_543 _let_494 _let_700 _let_531 _let_488 _let_486 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp18 tptp.hskp11 _let_487 _let_402))) _let_486 _let_489 :args ((or tptp.hskp18 tptp.hskp1 _let_402 _let_628 _let_427) true _let_390 true _let_36 true _let_39 false tptp.hskp2 false tptp.ndr1_0 true _let_426 true _let_359 true _let_699 false _let_696 false _let_425 false _let_697 false _let_424 true _let_693 true _let_694 true tptp.hskp25 true _let_695 false _let_419 true _let_360 false _let_315 true _let_508 true _let_99 false _let_317 false tptp.ndr1_0 false tptp.hskp11 false tptp.ndr1_0 true _let_484)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_401)) :args ((or _let_121 _let_383 _let_400 _let_691))) (REORDERING (CNF_OR_POS :args (_let_384)) :args ((or _let_121 _let_383 _let_382 _let_692))) :args ((or _let_121 _let_383 _let_692 _let_691) false _let_382)) (REORDERING (ASSUME :args (_let_123)) :args ((or _let_120 _let_122))) (ASSUME :args (_let_187)) :args ((or _let_120 _let_692 _let_691) true _let_121 false _let_186)) _let_690 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (tptp.a775 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_557)) :args _let_556)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_687)) :args _let_556)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_687)) :args _let_556)) _let_688 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_473)) :args ((or _let_466 _let_471 _let_472 (not _let_473)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_469)) :args ((or _let_468 _let_466 _let_464 _let_686))) _let_685 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_476 0)) (CONG _let_684 (MACRO_SR_PRED_INTRO :args ((= (not _let_468) _let_467))) :args _let_430)) :args ((or _let_467 _let_476))) :args ((or _let_476 _let_464 _let_686) false _let_465 false _let_467)) (CNF_OR_NEG :args (_let_476 2)) _let_685 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_683)) :args _let_683)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_234) _let_227))) (REFL :args ((not _let_476))) :args _let_430)) _let_576 _let_585 _let_586 _let_682 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_601)) :args _let_600)) _let_603 _let_681 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_455)) :args ((or _let_237 _let_228 _let_231 _let_672))) _let_677 _let_676 _let_675 _let_674 :args ((or _let_470 _let_672 _let_671) true _let_231 true _let_228 false _let_229 false _let_236)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_607 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_670)) :args _let_605)) _let_669 _let_667 _let_663 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp2 _let_487 _let_460 _let_281))) _let_486 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_538 :args (tptp.a741 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_537)) :args _let_536)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_459)) :args ((or _let_68 _let_376 _let_375 _let_656))) _let_659 _let_658 _let_657 :args ((or _let_67 _let_656) true _let_68 false _let_166 false _let_168)) _let_655 _let_654 _let_652 _let_648 _let_647 _let_486 _let_646 _let_639 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_638 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_637)) :args _let_636)) _let_635 _let_634 _let_486 _let_633 _let_626 _let_624 _let_621 _let_613 _let_580 _let_609 _let_562 _let_503 _let_501 _let_500 _let_499 _let_498 _let_494 _let_493 _let_479 _let_369 _let_446 _let_442 _let_438 _let_428 _let_373 _let_368 :args ((or _let_327 _let_364 _let_427) false _let_464 true _let_471 false _let_465 true _let_476 true _let_227 true _let_475 false tptp.hskp0 true tptp.hskp8 false _let_473 false _let_248 false _let_244 false _let_470 false _let_469 false _let_242 false _let_463 false _let_462 false _let_460 false tptp.ndr1_0 true _let_281 true _let_459 false tptp.hskp7 true tptp.hskp4 false _let_458 false _let_341 false _let_456 false tptp.ndr1_0 true tptp.hskp13 false _let_423 false _let_455 false _let_359 false _let_426 false tptp.ndr1_0 true tptp.hskp2 false _let_454 false _let_309 false _let_312 false _let_425 false _let_265 false _let_424 false _let_264 true tptp.hskp25 false _let_314 false _let_447 false _let_422 false _let_419 false _let_315 false _let_317 true _let_323 false _let_296 false _let_392 false _let_336 false _let_381 false _let_379 true tptp.hskp1 false _let_290)) _let_446 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_445 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_444)) :args _let_443)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_445 :args (tptp.a775 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_444)) :args _let_443)) _let_442 _let_438 _let_428 _let_369 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_367 :args (tptp.a741 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_366)) :args _let_365)) _let_373 _let_368 :args ((or _let_364 _let_427) false tptp.ndr1_0 true tptp.hskp2 true _let_426 false _let_425 true _let_359 false _let_424 true _let_423 true tptp.hskp25 false _let_422 false _let_419 false _let_315 false tptp.ndr1_0 true tptp.hskp21 false _let_326 false _let_242 false _let_309 true _let_243 true _let_244 true _let_415 false _let_174 false _let_176 false tptp.hskp13 true tptp.hskp24 false _let_412 false _let_410 true tptp.hskp23 false _let_409 false _let_405 false _let_402 true tptp.hskp18 true tptp.hskp15 false _let_401 false _let_399 false _let_398 false _let_330 false _let_327 false _let_392 false _let_389 false _let_384 false _let_336 false _let_381 false _let_379 false _let_296 false _let_377 true tptp.hskp1 false _let_290)) _let_373 _let_369 _let_368 :args (_let_364 false tptp.ndr1_0 true tptp.hskp3 true _let_363 false _let_362 true _let_360 false _let_359 true _let_358 false _let_357 true _let_351 false _let_356 false _let_353 false _let_244 false _let_264 true _let_86 true _let_89 true _let_92 false _let_243 false tptp.ndr1_0 false _let_263 false tptp.ndr1_0 false tptp.hskp10 false tptp.ndr1_0 true _let_241 true _let_240 true _let_239 true _let_350 true _let_57 false _let_160 false _let_162 false tptp.hskp5 false tptp.ndr1_0 true _let_347 false _let_346 true _let_341 true _let_340 true _let_339 false _let_338 true _let_337 true _let_336 false _let_335 false tptp.ndr1_0 true _let_331 true _let_334 true tptp.hskp15 false _let_333 false _let_330 true _let_242 false _let_327 true _let_262 true _let_326 false _let_323 true _let_261 false tptp.hskp21 false tptp.ndr1_0 true _let_317 true _let_316 true _let_315 false _let_291 true _let_314 false _let_292 false _let_294 true _let_312 true _let_309 true _let_304 true _let_305 false _let_306 true _let_308 true _let_303 true _let_302 true _let_297 true _let_298 false _let_299 true _let_301 true tptp.hskp1 false _let_296 false _let_290)))) (let ((_let_866 (MACRO_RESOLUTION_TRUST _let_523 _let_865 :args (_let_287 true _let_286)))) (let ((_let_867 (MACRO_RESOLUTION_TRUST _let_528 _let_866 :args (_let_270 true _let_285)))) (let ((_let_868 (MACRO_RESOLUTION_TRUST _let_529 _let_866 :args ((not _let_269) true _let_285)))) (let ((_let_869 (MACRO_RESOLUTION_TRUST _let_527 _let_866 :args (_let_278 true _let_285)))) (let ((_let_870 (MACRO_RESOLUTION_TRUST _let_525 _let_486 (MACRO_RESOLUTION_TRUST _let_521 _let_865 :args ((not _let_284) true _let_286)) _let_533 _let_515 _let_539 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_579 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_578)) :args _let_577)) _let_546 _let_867 _let_869 (REORDERING (CNF_OR_POS :args (_let_277)) :args ((or _let_271 _let_269 _let_272 (not _let_277)))) _let_868 _let_867 :args (_let_272 false tptp.ndr1_0 true _let_284 true _let_283 true _let_282 true _let_281 true _let_264 true _let_280 false _let_270 false _let_278 true _let_277 true _let_269 false _let_270)))) (let ((_let_871 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_607 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_606)) :args _let_605)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_274)) :args ((or _let_271 _let_269 _let_273 _let_276))) _let_867 _let_868 _let_870 :args (_let_276 false _let_270 true _let_269 false _let_272)) :args (_let_275 true _let_274)))) (let ((_let_872 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (tptp.a730 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_601)) :args _let_600)))) (let ((_let_873 (or _let_474 _let_251 _let_249))) (let ((_let_874 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_700 _let_531 :args ((or _let_95 _let_534) true _let_99)) (MACRO_RESOLUTION_TRUST _let_543 (MACRO_RESOLUTION_TRUST _let_548 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_560 _let_486 _let_561 _let_555 _let_559 _let_552 _let_554 _let_547 _let_529 _let_527 (REORDERING (CNF_OR_NEG :args (_let_280 2)) :args ((or _let_273 _let_280))) :args ((or _let_510 _let_285 _let_273) false tptp.ndr1_0 true _let_513 true _let_512 true _let_327 true _let_309 true _let_511 true _let_509 true _let_269 false _let_278 false _let_280)) _let_866 _let_870 :args (_let_510 true _let_285 false _let_272)) :args (_let_360 false _let_510)) :args (_let_508 false _let_360)) :args (_let_95 false _let_508)))) (let ((_let_875 (MACRO_RESOLUTION_TRUST _let_518 (MACRO_RESOLUTION_TRUST _let_519 (MACRO_RESOLUTION_TRUST _let_520 (MACRO_RESOLUTION_TRUST _let_524 _let_874 _let_486 _let_865 :args (_let_507 true tptp.hskp11 false tptp.ndr1_0 true _let_286)) :args (_let_336 false _let_507)) :args (_let_506 false _let_336)) :args (_let_60 false _let_506)))) (let ((_let_876 (not _let_873))) (let ((_let_877 (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c1_1 V) (tptp.c2_1 V))))) (let ((_let_878 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (tptp.c2_1 U))))) (let ((_let_879 (_let_877))) (let ((_let_880 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_879) :args (tptp.a730 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 V) false))))) :args _let_879)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp11 _let_487 _let_878 _let_877))) _let_874 _let_486 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_286 (= U U)))) _let_865 :args ((not _let_878) true _let_286)) :args (_let_877 true tptp.hskp11 false tptp.ndr1_0 true _let_878)) :args (_let_266 false _let_877)))) (let ((_let_881 (REORDERING (CNF_OR_POS :args (_let_266)) :args ((or _let_28 _let_249 _let_250 (not _let_266)))))) (let ((_let_882 (MACRO_RESOLUTION_TRUST _let_752 (MACRO_RESOLUTION_TRUST _let_608 _let_486 _let_871 _let_268 _let_604 _let_599 _let_603 _let_593 _let_592 _let_682 _let_589 _let_588 _let_586 (MACRO_RESOLUTION_TRUST _let_881 _let_880 (REORDERING (CNF_OR_POS :args (_let_873)) :args ((or _let_474 _let_249 _let_251 _let_876))) _let_584 _let_583 _let_582 :args ((or _let_27 _let_876) false _let_266 true _let_250 true _let_28 false _let_148 false _let_150)) _let_580 _let_514 _let_516 _let_486 _let_875 _let_503 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_497 :args (tptp.a730 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_496)) :args _let_495)) _let_498 :args (_let_750 false tptp.ndr1_0 true _let_242 true _let_241 true _let_243 true _let_239 true _let_244 true _let_567 false _let_246 true _let_248 true _let_75 false _let_170 false tptp.hskp8 true tptp.hskp0 false _let_265 false _let_264 false _let_504 false tptp.ndr1_0 true tptp.hskp6 true tptp.hskp25 false _let_873 false _let_419)) :args (_let_749 true _let_315)))) (let ((_let_883 (MACRO_RESOLUTION_TRUST _let_759 _let_882 :args (_let_254 true _let_711)))) (let ((_let_884 (MACRO_RESOLUTION_TRUST _let_758 _let_882 :args (_let_256 true _let_711)))) (let ((_let_885 (REORDERING (CNF_OR_POS :args (_let_252)) :args ((or _let_28 _let_249 _let_251 (not _let_252)))))) (let ((_let_886 (MACRO_RESOLUTION_TRUST _let_881 _let_880 _let_885 _let_584 _let_583 _let_586 _let_682 _let_580 _let_864 _let_863 _let_486 _let_856 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_765 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_854)) :args _let_763)) (REORDERING (CNF_OR_POS :args (_let_260)) :args ((or _let_257 _let_255 _let_259 (not _let_260)))) _let_884 _let_883 _let_784 _let_884 _let_883 _let_787 _let_872 _let_603 _let_604 _let_608 _let_486 _let_871 _let_268 _let_267 :args (_let_239 false _let_266 true _let_250 true _let_28 false _let_148 false tptp.hskp0 true tptp.hskp8 false _let_265 false _let_264 false _let_263 false tptp.ndr1_0 true _let_262 true _let_261 true _let_260 false _let_256 false _let_254 false _let_253 false _let_256 false _let_254 false _let_258 false _let_252 false _let_248 false _let_244 false _let_243 false tptp.ndr1_0 true _let_242 true _let_241 true _let_240)))) (let ((_let_887 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (tptp.c0_1 U) (tptp.c2_1 U))))) (let ((_let_888 (MACRO_RESOLUTION_TRUST _let_881 _let_880 _let_885 _let_584 _let_583 _let_586 _let_682 _let_580 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_264 (= U U)))) (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_487 _let_887))) _let_486 _let_875 _let_654 _let_652 _let_648 _let_647 _let_486 (MACRO_RESOLUTION_TRUST _let_559 (MACRO_RESOLUTION_TRUST _let_554 _let_869 _let_868 _let_870 :args (_let_553 false _let_278 true _let_269 false _let_272)) :args (_let_477 true _let_511)) _let_825 _let_872 _let_603 _let_826 :args (_let_679 false _let_266 true _let_250 true _let_28 false _let_148 false tptp.hskp0 true tptp.hskp8 false _let_265 false _let_264 false _let_887 false tptp.ndr1_0 true tptp.hskp6 true tptp.hskp4 false _let_458 false _let_341 false _let_456 false tptp.ndr1_0 true _let_327 true tptp.hskp13 false _let_252 false _let_248 false _let_415)))) (let ((_let_889 (MACRO_RESOLUTION_TRUST _let_681 _let_888 :args (_let_678 true _let_244)))) (let ((_let_890 (MACRO_RESOLUTION_TRUST _let_675 _let_889 :args (_let_229 true _let_470)))) (let ((_let_891 (MACRO_RESOLUTION_TRUST _let_861 (MACRO_RESOLUTION_TRUST _let_862 _let_886 :args (_let_350 false _let_239)) _let_860 _let_846 _let_845 :args (_let_56 false _let_350 true _let_57 false _let_160 false _let_162)))) (let ((_let_892 (not _let_225))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_806 :args (tptp.a779 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_805)) :args _let_804)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_225)) :args ((or _let_129 _let_126 _let_224 _let_892))) (REORDERING (ASSUME :args (_let_128)) :args ((or _let_125 _let_127))) (REORDERING (ASSUME :args (_let_131)) :args ((or _let_125 _let_130))) (ASSUME :args (_let_189)) :args ((or _let_125 _let_892) true _let_126 true _let_129 false _let_188)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp20 tptp.hskp5 _let_487 _let_244))) _let_891 _let_486 _let_888 :args (tptp.hskp20 true tptp.hskp5 false tptp.ndr1_0 true _let_244)) :args (_let_892 false tptp.hskp20)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp5 _let_487 _let_226 _let_223))) _let_891 _let_486 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_227 (= U U)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_575 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_574)) :args _let_573)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_233)) :args ((or _let_230 _let_228 _let_232 _let_235))) _let_890 (MACRO_RESOLUTION_TRUST _let_676 _let_889 :args ((not _let_228) true _let_470)) (MACRO_RESOLUTION_TRUST _let_855 (MACRO_RESOLUTION_TRUST _let_674 _let_889 :args (_let_236 true _let_470)) _let_890 (MACRO_RESOLUTION_TRUST _let_852 _let_886 :args (_let_238 false _let_239)) :args (_let_231 false _let_236 false _let_229 false _let_238)) :args (_let_235 false _let_229 true _let_228 false _let_231)) :args (_let_234 true _let_233)) :args ((not _let_226) true _let_227)) :args (_let_223 true tptp.hskp5 false tptp.ndr1_0 true _let_226)) :args (false true _let_225 false _let_223)) :args (_let_222 (or _let_215 tptp.ndr1_0) (or _let_214 tptp.ndr1_0) (or _let_208 tptp.ndr1_0) (or _let_201 tptp.ndr1_0) (or _let_141 tptp.ndr1_0) _let_221 (or _let_136 tptp.ndr1_0) _let_220 (or _let_125 tptp.ndr1_0) (or _let_124 tptp.ndr1_0) (or _let_120 tptp.ndr1_0) _let_219 (or _let_115 tptp.ndr1_0) (or _let_111 tptp.ndr1_0) (or _let_110 tptp.ndr1_0) (or _let_106 tptp.ndr1_0) (or _let_105 tptp.ndr1_0) (or _let_95 tptp.ndr1_0) (or _let_85 tptp.ndr1_0) (or _let_78 tptp.ndr1_0) (or _let_71 tptp.ndr1_0) (or _let_67 tptp.ndr1_0) (or _let_60 tptp.ndr1_0) (or _let_56 tptp.ndr1_0) (or _let_49 tptp.ndr1_0) (or _let_42 tptp.ndr1_0) (or _let_35 tptp.ndr1_0) (or _let_31 tptp.ndr1_0) (or _let_27 tptp.ndr1_0) _let_218 _let_217 (or tptp.hskp16 tptp.hskp18 tptp.hskp19) (or tptp.hskp0 tptp.hskp5 tptp.hskp19) _let_216 (or _let_215 (tptp.c0_1 tptp.a784)) (or _let_215 (tptp.c1_1 tptp.a784)) (or _let_215 (tptp.c3_1 tptp.a784)) (or _let_214 (tptp.c0_1 tptp.a750)) (or _let_214 (tptp.c1_1 tptp.a750)) (or _let_214 (tptp.c2_1 tptp.a750)) _let_213 _let_211 _let_209 _let_206 _let_204 _let_202 _let_199 _let_197 _let_195 (or _let_136 (tptp.c3_1 tptp.a797)) _let_193 _let_191 _let_189 (or _let_124 (tptp.c2_1 tptp.a777)) _let_187 (or _let_119 (tptp.c1_1 tptp.a766)) (or _let_119 (tptp.c2_1 tptp.a766)) _let_185 _let_183 _let_181 _let_179 (or _let_110 (tptp.c0_1 tptp.a762)) _let_177 _let_175 (or _let_105 (tptp.c1_1 tptp.a755)) (or _let_105 (tptp.c2_1 tptp.a755)) _let_173 _let_171 _let_169 _let_167 _let_165 _let_163 _let_161 _let_159 _let_157 _let_155 _let_153 _let_151 _let_149 _let_147 _let_144 _let_140 (or (not (tptp.c1_1 tptp.a797)) _let_136) (or (not (tptp.c2_1 tptp.a797)) _let_136) _let_135 _let_131 _let_128 (or (not (tptp.c0_1 tptp.a777)) _let_124) (or (not (tptp.c3_1 tptp.a777)) _let_124) _let_123 (or (not (tptp.c3_1 tptp.a775)) _let_120) (or (not (tptp.c0_1 tptp.a766)) _let_119) _let_118 _let_114 (or (not (tptp.c1_1 tptp.a762)) _let_110) (or (not (tptp.c2_1 tptp.a762)) _let_110) _let_109 (or (not (tptp.c3_1 tptp.a755)) _let_105) _let_104 _let_101 _let_98 _let_94 _let_91 _let_88 _let_84 _let_81 _let_77 _let_74 _let_70 _let_66 _let_63 _let_59 _let_55 _let_52 _let_48 _let_45 _let_41 _let_38 (or (not (tptp.c3_1 tptp.a732)) _let_35) _let_34 _let_30 _let_26 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp4 tptp.hskp5)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp5 tptp.hskp9)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp27 tptp.hskp0)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp26 tptp.hskp6)) _let_25 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp27 tptp.hskp11)) _let_24 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp12 tptp.hskp7)) _let_23 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp0 tptp.hskp9)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp27 tptp.hskp5)) _let_22 _let_21 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp28 tptp.hskp16)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp27 tptp.hskp17)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp27 tptp.hskp19)) _let_20 _let_19 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp27 tptp.hskp11)) _let_18 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp28 tptp.hskp11)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp16 tptp.hskp22)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp2)) _let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp8)) _let_16 (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.hskp0)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c0_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp7)) _let_15 (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.hskp14)) (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.c0_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp5)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp4)) _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp18)) (forall ((U $$unsorted) (V $$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)) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp27)) _let_8 _let_7 (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.c0_1 V) tptp.hskp16)) _let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c0_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W))) (forall ((U $$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 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c1_1 W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c2_1 W))) _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.60/0.78  )
% 0.60/0.78  % SZS output end Proof for SYN451-1
% 0.60/0.78  % cvc5---1.0.5 exiting
% 0.60/0.78  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------