TSTP Solution File: SYN468-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN468-1 : 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 02:03:26 EDT 2023

% Result   : Unsatisfiable 0.21s 0.72s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SYN468-1 : 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 17:41:37 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.21/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.RKmTvHJl6N/cvc5---1.0.5_24320.p...
% 0.21/0.53  ------- get file name : TPTP file name is SYN468-1
% 0.21/0.53  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_24320.smt2...
% 0.21/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.72  % SZS status Unsatisfiable for SYN468-1
% 0.21/0.72  % SZS output start Proof for SYN468-1
% 0.21/0.74  (
% 0.21/0.74  (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (not (tptp.c3_1 W)) (tptp.c3_1 V) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 W)) (tptp.c2_1 U) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 W)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c2_1 W))))) (let ((_let_5 (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.c3_1 V)) (tptp.c2_1 V) tptp.hskp21)))) (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.c2_1 V) tptp.hskp4)))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c3_1 U) (tptp.c1_1 V) tptp.hskp9)))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c3_1 U) (tptp.c1_1 V) tptp.hskp7)))) (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.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c1_1 V) tptp.hskp16)))) (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.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) tptp.hskp7)))) (let ((_let_11 (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.c3_1 V) tptp.hskp5)))) (let ((_let_12 (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.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp22)))) (let ((_let_13 (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.c0_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp29)))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp8)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp3)))) (let ((_let_16 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) tptp.hskp3 tptp.hskp26)))) (let ((_let_17 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp15 tptp.hskp29)))) (let ((_let_18 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp24 tptp.hskp16)))) (let ((_let_19 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp13 tptp.hskp16)))) (let ((_let_20 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp20)))) (let ((_let_21 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp8 tptp.hskp23)))) (let ((_let_22 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp15 tptp.hskp8)))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp9 tptp.hskp10)))) (let ((_let_24 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp4 tptp.hskp28)))) (let ((_let_25 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp3)))) (let ((_let_26 (not tptp.hskp0))) (let ((_let_27 (not tptp.hskp1))) (let ((_let_28 (not tptp.hskp2))) (let ((_let_29 (not tptp.hskp3))) (let ((_let_30 (tptp.c1_1 tptp.a294))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_29))) (let ((_let_33 (not tptp.hskp4))) (let ((_let_34 (tptp.c3_1 tptp.a295))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33))) (let ((_let_37 (tptp.c2_1 tptp.a295))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_33))) (let ((_let_40 (not tptp.hskp5))) (let ((_let_41 (tptp.c0_1 tptp.a297))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_40))) (let ((_let_44 (not tptp.hskp6))) (let ((_let_45 (not tptp.hskp7))) (let ((_let_46 (tptp.c2_1 tptp.a299))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_45))) (let ((_let_49 (not tptp.hskp8))) (let ((_let_50 (tptp.c1_1 tptp.a300))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_49))) (let ((_let_53 (not tptp.hskp9))) (let ((_let_54 (tptp.c2_1 tptp.a304))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_53))) (let ((_let_57 (not tptp.hskp10))) (let ((_let_58 (tptp.c3_1 tptp.a305))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_57))) (let ((_let_61 (not tptp.hskp11))) (let ((_let_62 (not tptp.hskp12))) (let ((_let_63 (not tptp.hskp13))) (let ((_let_64 (tptp.c2_1 tptp.a308))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63))) (let ((_let_67 (tptp.c1_1 tptp.a308))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_63))) (let ((_let_70 (not tptp.hskp14))) (let ((_let_71 (not tptp.hskp15))) (let ((_let_72 (tptp.c3_1 tptp.a311))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_71))) (let ((_let_75 (not tptp.hskp16))) (let ((_let_76 (tptp.c3_1 tptp.a315))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_75))) (let ((_let_79 (tptp.c0_1 tptp.a315))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_80 _let_75))) (let ((_let_82 (not tptp.hskp17))) (let ((_let_83 (not tptp.hskp18))) (let ((_let_84 (tptp.c3_1 tptp.a325))) (let ((_let_85 (not _let_84))) (let ((_let_86 (or _let_85 _let_83))) (let ((_let_87 (tptp.c1_1 tptp.a325))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_83))) (let ((_let_90 (not tptp.hskp19))) (let ((_let_91 (not tptp.hskp20))) (let ((_let_92 (tptp.c2_1 tptp.a329))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_93 _let_91))) (let ((_let_95 (tptp.c1_1 tptp.a329))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_96 _let_91))) (let ((_let_98 (tptp.c0_1 tptp.a329))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_91))) (let ((_let_101 (not tptp.hskp21))) (let ((_let_102 (tptp.c2_1 tptp.a330))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_101))) (let ((_let_105 (tptp.c0_1 tptp.a330))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_106 _let_101))) (let ((_let_108 (not tptp.hskp22))) (let ((_let_109 (tptp.c3_1 tptp.a331))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_110 _let_108))) (let ((_let_112 (tptp.c2_1 tptp.a331))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_113 _let_108))) (let ((_let_115 (tptp.c1_1 tptp.a331))) (let ((_let_116 (not _let_115))) (let ((_let_117 (or _let_116 _let_108))) (let ((_let_118 (not tptp.hskp23))) (let ((_let_119 (tptp.c2_1 tptp.a337))) (let ((_let_120 (not _let_119))) (let ((_let_121 (or _let_120 _let_118))) (let ((_let_122 (not tptp.hskp24))) (let ((_let_123 (tptp.c3_1 tptp.a341))) (let ((_let_124 (not _let_123))) (let ((_let_125 (or _let_124 _let_122))) (let ((_let_126 (tptp.c0_1 tptp.a341))) (let ((_let_127 (not _let_126))) (let ((_let_128 (or _let_127 _let_122))) (let ((_let_129 (not tptp.hskp25))) (let ((_let_130 (not tptp.hskp26))) (let ((_let_131 (tptp.c3_1 tptp.a359))) (let ((_let_132 (not _let_131))) (let ((_let_133 (or _let_132 _let_130))) (let ((_let_134 (tptp.c1_1 tptp.a359))) (let ((_let_135 (not _let_134))) (let ((_let_136 (or _let_135 _let_130))) (let ((_let_137 (tptp.c0_1 tptp.a359))) (let ((_let_138 (not _let_137))) (let ((_let_139 (or _let_138 _let_130))) (let ((_let_140 (not tptp.hskp27))) (let ((_let_141 (tptp.c2_1 tptp.a368))) (let ((_let_142 (not _let_141))) (let ((_let_143 (or _let_142 _let_140))) (let ((_let_144 (tptp.c0_1 tptp.a368))) (let ((_let_145 (not _let_144))) (let ((_let_146 (or _let_145 _let_140))) (let ((_let_147 (tptp.c2_1 tptp.a294))) (let ((_let_148 (or _let_29 _let_147))) (let ((_let_149 (tptp.c0_1 tptp.a294))) (let ((_let_150 (or _let_29 _let_149))) (let ((_let_151 (tptp.c0_1 tptp.a295))) (let ((_let_152 (or _let_33 _let_151))) (let ((_let_153 (tptp.c2_1 tptp.a297))) (let ((_let_154 (or _let_40 _let_153))) (let ((_let_155 (tptp.c1_1 tptp.a297))) (let ((_let_156 (or _let_40 _let_155))) (let ((_let_157 (tptp.c3_1 tptp.a299))) (let ((_let_158 (or _let_45 _let_157))) (let ((_let_159 (tptp.c0_1 tptp.a299))) (let ((_let_160 (or _let_45 _let_159))) (let ((_let_161 (tptp.c3_1 tptp.a300))) (let ((_let_162 (or _let_49 _let_161))) (let ((_let_163 (tptp.c0_1 tptp.a300))) (let ((_let_164 (or _let_49 _let_163))) (let ((_let_165 (tptp.c1_1 tptp.a304))) (let ((_let_166 (or _let_53 _let_165))) (let ((_let_167 (tptp.c0_1 tptp.a304))) (let ((_let_168 (or _let_53 _let_167))) (let ((_let_169 (tptp.c2_1 tptp.a305))) (let ((_let_170 (or _let_57 _let_169))) (let ((_let_171 (tptp.c1_1 tptp.a305))) (let ((_let_172 (or _let_57 _let_171))) (let ((_let_173 (tptp.c0_1 tptp.a308))) (let ((_let_174 (or _let_63 _let_173))) (let ((_let_175 (tptp.c1_1 tptp.a311))) (let ((_let_176 (or _let_71 _let_175))) (let ((_let_177 (tptp.c0_1 tptp.a311))) (let ((_let_178 (or _let_71 _let_177))) (let ((_let_179 (tptp.c2_1 tptp.a315))) (let ((_let_180 (or _let_75 _let_179))) (let ((_let_181 (tptp.c0_1 tptp.a325))) (let ((_let_182 (or _let_83 _let_181))) (let ((_let_183 (tptp.c3_1 tptp.a330))) (let ((_let_184 (or _let_101 _let_183))) (let ((_let_185 (tptp.c3_1 tptp.a337))) (let ((_let_186 (or _let_118 _let_185))) (let ((_let_187 (tptp.c1_1 tptp.a337))) (let ((_let_188 (or _let_118 _let_187))) (let ((_let_189 (tptp.c1_1 tptp.a341))) (let ((_let_190 (or _let_122 _let_189))) (let ((_let_191 (tptp.c1_1 tptp.a368))) (let ((_let_192 (or _let_140 _let_191))) (let ((_let_193 (tptp.c3_1 tptp.a296))) (let ((_let_194 (not tptp.hskp28))) (let ((_let_195 (or _let_194 _let_193))) (let ((_let_196 (tptp.c2_1 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QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_525)) :args _let_524)) (MACRO_RESOLUTION_TRUST _let_643 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_564 (= U W)))) _let_641 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) _let_309 _let_639 _let_309 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_538 (= U V)))) _let_638 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_637 :args (tptp.a315 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_636)) :args _let_635)) _let_597 (REORDERING (CNF_OR_POS :args (_let_627)) :args ((or _let_76 _let_232 _let_252 (not _let_627)))) _let_596 _let_448 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_631 (= U U)))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp7 _let_310 _let_632 _let_630))) _let_309 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_634) :args (tptp.a297 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_634)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_364 (= U V)))) (REORDERING (CNF_OR_POS :args (_let_629)) :args ((or _let_41 _let_362 _let_628 (not _let_629)))) _let_399 (REORDERING (CNF_OR_POS :args (_let_626)) :args ((or _let_41 _let_362 _let_625 _let_633))) _let_397 _let_396 _let_395 _let_394 :args ((or tptp.hskp7 _let_40 _let_633) false _let_632 false tptp.ndr1_0 true _let_631 true _let_630 true _let_629 true _let_364 false _let_625 true _let_363 true _let_41 false _let_153 false _let_155)) _let_449 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_443 :args (tptp.a297 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_442)) :args _let_441)) _let_450 _let_521 _let_309 _let_523 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_306 (= V U)))) :args ((or _let_40 _let_79 _let_76 _let_306 _let_549 _let_301 _let_232) false _let_564 true _let_562 false (forall ((W $$unsorted)) (or (not (tptp.c3_1 W)) (tptp.c0_1 W) (tptp.c2_1 W))) false tptp.ndr1_0 false tptp.hskp21 false tptp.ndr1_0 true (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (tptp.c1_1 V) (tptp.c3_1 V))) true _let_558 true _let_538 true _let_224 true _let_627 true _let_223 true _let_252 false tptp.hskp7 false _let_284 false _let_626 false _let_285 false _let_286 false tptp.ndr1_0 true _let_305 true (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (tptp.c1_1 U))))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp5 _let_310 _let_547 _let_544))) _let_309 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_300 (= U U)))) _let_612 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_300 (= U U)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_517 :args (tptp.a301 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_516)) :args _let_515)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_546)) :args ((or _let_263 _let_260 _let_545 _let_624))) _let_623 _let_421 _let_420 :args ((or _let_201 _let_624) false _let_200 false _let_203 false _let_205)) _let_623 _let_421 _let_493 _let_492 _let_491 _let_423 _let_309 _let_622 _let_309 (MACRO_RESOLUTION_TRUST _let_337 _let_326 _let_621 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_250 (= U U)))) _let_335 _let_619 _let_334 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp28 tptp.hskp4 _let_310 _let_588))) _let_309 _let_332 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_587)) :args ((or _let_586 _let_585 _let_584 _let_618))) (ASSUME :args (_let_195)) (ASSUME :args (_let_197)) (ASSUME :args (_let_199)) :args ((or _let_194 _let_618) false _let_193 false _let_196 false _let_198)) _let_346 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_617 :args (tptp.a296 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_616)) _let_348 _let_615 _let_309 _let_505 _let_309 _let_614 _let_508 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_510 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_613)) :args _let_509)) (REORDERING (CNF_OR_POS :args (_let_583)) :args ((or _let_478 _let_451 _let_452 (not _let_583)))) (REORDERING (CNF_OR_POS :args (_let_582)) :args ((or _let_455 _let_478 _let_453 (not _let_582)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_517 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_516)) :args _let_515)) _let_612 _let_611 _let_309 _let_610 _let_608 _let_607 _let_605 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp9 _let_310 _let_563 _let_581))) _let_309 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_234 (= U V)))) _let_531 :args ((not _let_581) true _let_234)) _let_603 _let_503 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (tptp.a311 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_601)) :args _let_600)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_514 :args (tptp.a311 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_513)) :args _let_512)) (REORDERING (CNF_OR_POS :args (_let_580)) :args ((or _let_72 _let_280 _let_279 (not _let_580)))) (REORDERING (CNF_OR_POS :args (_let_579)) :args ((or _let_72 _let_281 _let_279 (not _let_579)))) _let_432 _let_599 _let_598 _let_436 _let_439 _let_440 _let_309 _let_410 _let_597 _let_596 _let_594 _let_593 _let_309 _let_592 _let_590 _let_426 _let_425 _let_424 :args ((or _let_71 _let_226 _let_455 _let_478 _let_451) false _let_315 true _let_314 false _let_250 true _let_312 true _let_317 true _let_313 false _let_588 false tptp.ndr1_0 true _let_318 true tptp.hskp28 true _let_251 false _let_587 true _let_257 false _let_557 false tptp.ndr1_0 false tptp.hskp22 false tptp.ndr1_0 true _let_559 true _let_498 true _let_499 true _let_583 true _let_452 false _let_582 false _let_300 false _let_548 false tptp.ndr1_0 true tptp.hskp4 true _let_570 true _let_571 true _let_574 false tptp.hskp9 false tptp.ndr1_0 true _let_581 true _let_560 true _let_497 true _let_563 true _let_293 true _let_580 true _let_579 false _let_278 false _let_578 false _let_566 false _let_383 false _let_384 false _let_227 false tptp.ndr1_0 true _let_225 true _let_224 true _let_223 false tptp.hskp7 true _let_577 false tptp.ndr1_0 true _let_576 true _let_575 true _let_72 false _let_175 false _let_177)) _let_444 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_228 (= U V)))) _let_239 _let_244 _let_243 _let_242 _let_241 _let_488 _let_487 _let_486 _let_413 _let_309 (MACRO_RESOLUTION_TRUST _let_414 _let_531 :args ((not _let_372) true _let_234)) _let_484 _let_518 _let_412 _let_411 :args (_let_299 true _let_58 false _let_169 false _let_171 false tptp.hskp10 false tptp.ndr1_0 true tptp.hskp9 false _let_574 false _let_571 false _let_570 false tptp.ndr1_0 true tptp.hskp4 false _let_569 false _let_566 true _let_564 false _let_563 false _let_384 true _let_562 false _let_560 false tptp.ndr1_0 false _let_227 false tptp.ndr1_0 false tptp.hskp21 false tptp.ndr1_0 true _let_559 true _let_225 true _let_558 true _let_499 true _let_224 true _let_557 true _let_556 true _let_555 true _let_554 true _let_551 false _let_261 false _let_553 false _let_550 false _let_306 false tptp.hskp5 false tptp.ndr1_0 true _let_549 true _let_548 true _let_547 true _let_300 true _let_546 false _let_200 false _let_203 true _let_50 false _let_161 false _let_163 false tptp.hskp29 false tptp.ndr1_0 false tptp.hskp8 false tptp.ndr1_0 true tptp.hskp15 true _let_226 true _let_544 true _let_228 true _let_233 true _let_76 true _let_79 false _let_179 true _let_451 false _let_477 false _let_454 false tptp.hskp16 false tptp.ndr1_0 true _let_372 true _let_479 true _let_301 true _let_371 true _let_370)))) (let ((_let_645 (MACRO_RESOLUTION_TRUST _let_528 _let_527 :args (_let_149 false tptp.hskp3)))) (let ((_let_646 (MACRO_RESOLUTION_TRUST _let_530 _let_527 :args (_let_31 false tptp.hskp3)))) (let ((_let_647 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_543)) :args ((or _let_30 _let_246 _let_542 (not _let_543)))) _let_646 _let_645 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_408 :args (tptp.a294 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_407)) :args _let_406)) _let_644 :args (_let_543 false _let_299)) :args (_let_542 true _let_30 false _let_149 false _let_543)))) (let ((_let_648 (MACRO_RESOLUTION_TRUST _let_529 _let_527 :args (_let_147 false tptp.hskp3)))) (let ((_let_649 (MACRO_RESOLUTION_TRUST _let_494 (MACRO_RESOLUTION_TRUST _let_489 _let_644 :args (_let_468 false _let_299)) :args (_let_49 false _let_468)))) (let ((_let_650 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp23 tptp.hskp8 _let_310 _let_538))) _let_649 _let_309 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_637 :args (tptp.a294 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_636)) :args _let_635)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_540)) :args ((or _let_30 _let_245 _let_539 _let_541))) _let_646 _let_648 _let_647 :args (_let_541 true _let_30 false _let_147 true _let_539)) :args ((not _let_538) true _let_540)) :args (tptp.hskp23 true tptp.hskp8 false tptp.ndr1_0 true _let_538)))) (let ((_let_651 (_let_533))) (let ((_let_652 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp8 _let_310 _let_533 _let_532))) _let_649 _let_309 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_651) :args (tptp.a337 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_651)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_536)) :args ((or _let_119 _let_535 _let_534 _let_537))) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_121)) :args ((or _let_118 _let_120))) _let_650 :args (_let_120 false tptp.hskp23)) (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_188)) _let_650 :args (_let_187 false tptp.hskp23)) (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_186)) _let_650 :args (_let_185 false tptp.hskp23)) :args (_let_537 true _let_119 false _let_187 false _let_185)) :args ((not _let_533) true _let_536)) :args (_let_532 true tptp.hskp8 false tptp.ndr1_0 true _let_533)))) (let ((_let_653 (_let_532))) (let ((_let_654 ((not (= (tptp.c0_1 V) true))))) (let ((_let_655 (ASSUME :args _let_653))) (let ((_let_656 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_231)) :args ((or _let_126 _let_123 _let_230 (not _let_231)))) (REORDERING (CNF_OR_POS :args (_let_235)) :args ((or _let_126 _let_123 _let_229 (not _let_235)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_655 :args (tptp.a341 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_654)) :args _let_653)) _let_652 :args (_let_235 false _let_532)) _let_438 _let_437 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp24 tptp.hskp16 _let_310 _let_234))) _let_309 _let_531 _let_244 _let_239 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_238 :args (tptp.a341 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_237)) :args _let_236)) :args ((not _let_228) false _let_229 false _let_235 true _let_123 true _let_126 false tptp.hskp24 false tptp.ndr1_0 true _let_234 true tptp.hskp16 false _let_233 false _let_231)))) (let ((_let_657 (or _let_314 _let_317 _let_312))) (let ((_let_658 (or _let_98 _let_92 _let_272))) (let ((_let_659 (or _let_246 _let_245 _let_539))) (let ((_let_660 (not _let_659))) (let ((_let_661 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_514 :args (tptp.a294 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_513)) :args _let_512)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_659)) :args ((or _let_246 _let_245 _let_539 _let_660))) _let_645 _let_648 _let_647 :args (_let_660 false _let_149 false _let_147 true _let_539)) :args ((not _let_293) true _let_659)))) (let ((_let_662 (MACRO_RESOLUTION_TRUST _let_504 _let_309 _let_661 :args (tptp.hskp20 false tptp.ndr1_0 true _let_293)))) (let ((_let_663 (MACRO_RESOLUTION_TRUST _let_332 (MACRO_RESOLUTION_TRUST _let_346 (MACRO_RESOLUTION_TRUST _let_348 (MACRO_RESOLUTION_TRUST _let_511 _let_661 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_273 2)) :args ((or _let_500 _let_273))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_658)) :args ((or _let_98 _let_92 _let_272 (not _let_658)))) (MACRO_RESOLUTION_TRUST _let_506 _let_662 :args (_let_99 false tptp.hskp20)) (MACRO_RESOLUTION_TRUST _let_507 _let_662 :args (_let_93 false tptp.hskp20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_655 :args (tptp.a329 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_654)) :args _let_653)) _let_652 :args (_let_658 false _let_532)) :args (_let_272 true _let_98 true _let_92 false _let_658)) :args (_let_273 false _let_272)) :args (tptp.hskp22 true _let_293 false _let_273)) :args (_let_347 false tptp.hskp22)) :args (_let_330 true _let_257)) :args (_let_329 true _let_251)))) (let ((_let_664 (MACRO_RESOLUTION_TRUST _let_335 _let_663 :args ((not _let_312) true _let_318)))) (let ((_let_665 (MACRO_RESOLUTION_TRUST _let_619 _let_663 :args ((not _let_317) true _let_318)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_596 (MACRO_RESOLUTION_TRUST _let_594 _let_309 (MACRO_RESOLUTION_TRUST _let_592 (MACRO_RESOLUTION_TRUST _let_590 (MACRO_RESOLUTION_TRUST _let_622 _let_649 _let_309 _let_656 :args (tptp.hskp15 true tptp.hskp8 false tptp.ndr1_0 true _let_228)) :args (_let_589 false tptp.hskp15)) :args ((not _let_576) true _let_575)) _let_593 :args (tptp.hskp7 false tptp.ndr1_0 true _let_576 true _let_577)) (MACRO_RESOLUTION_TRUST _let_597 (MACRO_RESOLUTION_TRUST _let_410 (MACRO_RESOLUTION_TRUST _let_440 _let_309 (MACRO_RESOLUTION_TRUST _let_439 (MACRO_RESOLUTION_TRUST _let_599 (MACRO_RESOLUTION_TRUST _let_621 _let_665 _let_664 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_657)) :args ((or _let_317 _let_312 _let_314 (not _let_657)))) _let_665 _let_664 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_655 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_654)) :args _let_653)) _let_652 :args (_let_657 false _let_532)) :args (_let_314 true _let_317 true _let_312 false _let_657)) :args (_let_620 true _let_317 true _let_312 false _let_314)) :args ((not _let_384) true _let_578)) :args ((not _let_227) true _let_384)) (MACRO_RESOLUTION_TRUST _let_444 _let_656 :args ((not _let_226) true _let_228)) :args (_let_225 false tptp.ndr1_0 true _let_227 true _let_226)) :args (_let_224 false _let_225)) :args (_let_223 false _let_224)) :args (false false tptp.hskp7 false _let_223)) :args (_let_220 (or _let_207 tptp.ndr1_0) (or _let_201 tptp.ndr1_0) (or _let_194 tptp.ndr1_0) _let_219 (or _let_130 tptp.ndr1_0) (or _let_129 tptp.ndr1_0) _let_218 (or _let_118 tptp.ndr1_0) (or _let_108 tptp.ndr1_0) (or _let_101 tptp.ndr1_0) (or _let_91 tptp.ndr1_0) (or _let_90 tptp.ndr1_0) (or _let_83 tptp.ndr1_0) (or _let_82 tptp.ndr1_0) (or _let_75 tptp.ndr1_0) (or _let_71 tptp.ndr1_0) (or _let_70 tptp.ndr1_0) (or _let_63 tptp.ndr1_0) (or _let_62 tptp.ndr1_0) (or _let_61 tptp.ndr1_0) (or _let_57 tptp.ndr1_0) (or _let_53 tptp.ndr1_0) (or _let_49 tptp.ndr1_0) (or _let_45 tptp.ndr1_0) (or _let_44 tptp.ndr1_0) (or _let_40 tptp.ndr1_0) (or _let_33 tptp.ndr1_0) (or _let_29 tptp.ndr1_0) (or _let_28 tptp.ndr1_0) (or _let_27 tptp.ndr1_0) (or _let_26 tptp.ndr1_0) _let_217 (or tptp.hskp9 tptp.hskp16 tptp.hskp22) (or tptp.hskp3 tptp.hskp23 tptp.hskp0) _let_216 (or tptp.hskp7 tptp.hskp19 tptp.hskp12) (or tptp.hskp7 tptp.hskp1 tptp.hskp16) (or tptp.hskp13 tptp.hskp2 tptp.hskp20) _let_215 (or tptp.hskp23 tptp.hskp12 tptp.hskp2) (or tptp.hskp24 tptp.hskp19 tptp.hskp20) (or tptp.hskp21 tptp.hskp26 tptp.hskp17) _let_214 _let_212 _let_210 (or _let_207 (tptp.c0_1 tptp.a332)) (or _let_207 (tptp.c1_1 tptp.a332)) (or _let_207 (tptp.c3_1 tptp.a332)) _let_206 _let_204 _let_202 _let_199 _let_197 _let_195 _let_192 (or _let_129 (tptp.c3_1 tptp.a353)) _let_190 _let_188 _let_186 _let_184 (or _let_90 (tptp.c2_1 tptp.a326)) (or _let_90 (tptp.c3_1 tptp.a326)) _let_182 _let_180 _let_178 _let_176 (or _let_70 (tptp.c0_1 tptp.a309)) (or _let_70 (tptp.c2_1 tptp.a309)) _let_174 (or _let_62 (tptp.c2_1 tptp.a307)) (or _let_61 (tptp.c1_1 tptp.a306)) (or _let_61 (tptp.c3_1 tptp.a306)) _let_172 _let_170 _let_168 _let_166 _let_164 _let_162 _let_160 _let_158 (or _let_44 (tptp.c2_1 tptp.a298)) _let_156 _let_154 _let_152 _let_150 _let_148 (or _let_28 (tptp.c3_1 tptp.a293)) (or _let_27 (tptp.c2_1 tptp.a292)) (or _let_27 (tptp.c3_1 tptp.a292)) (or _let_26 (tptp.c1_1 tptp.a291)) _let_146 _let_143 _let_139 _let_136 _let_133 (or (not (tptp.c0_1 tptp.a353)) _let_129) (or (not (tptp.c1_1 tptp.a353)) _let_129) _let_128 _let_125 _let_121 _let_117 _let_114 _let_111 _let_107 _let_104 _let_100 _let_97 _let_94 (or (not (tptp.c0_1 tptp.a326)) _let_90) _let_89 _let_86 (or (not (tptp.c0_1 tptp.a323)) _let_82) (or (not (tptp.c2_1 tptp.a323)) _let_82) (or (not (tptp.c3_1 tptp.a323)) _let_82) _let_81 _let_78 _let_74 (or (not (tptp.c3_1 tptp.a309)) _let_70) _let_69 _let_66 (or (not (tptp.c1_1 tptp.a307)) _let_62) (or (not (tptp.c3_1 tptp.a307)) _let_62) (or (not (tptp.c0_1 tptp.a306)) _let_61) _let_60 _let_56 _let_52 _let_48 (or (not (tptp.c0_1 tptp.a298)) _let_44) (or (not (tptp.c1_1 tptp.a298)) _let_44) _let_43 _let_39 _let_36 _let_32 (or (not (tptp.c1_1 tptp.a293)) _let_28) (or (not (tptp.c2_1 tptp.a293)) _let_28) (or (not (tptp.c1_1 tptp.a292)) _let_27) (or (not (tptp.c2_1 tptp.a291)) _let_26) (or (not (tptp.c3_1 tptp.a291)) _let_26) _let_25 (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_24 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp18 tptp.hskp19)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp5 tptp.hskp6)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp4 tptp.hskp6)) _let_23 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp11 tptp.hskp12)) _let_22 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp0 tptp.hskp17)) (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp30 tptp.hskp2)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp15 tptp.hskp28)) _let_21 _let_20 _let_19 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp4 tptp.hskp11)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp3 tptp.hskp2)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp11 tptp.hskp17)) _let_18 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp16 tptp.hskp21)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp9 tptp.hskp12)) _let_17 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp7 tptp.hskp25)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp25 tptp.hskp21)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) tptp.hskp23)) _let_16 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp8 tptp.hskp28)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp18 tptp.hskp28)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp11 tptp.hskp25)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp0)) _let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c0_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp7)) _let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp13)) (forall ((U $$unsorted) (V $$unsorted)) (or (not tptp.ndr1_0) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 U) tptp.hskp4)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp20)) _let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp14)) (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.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp21)) _let_12 _let_11 _let_10 (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.c2_1 U) (tptp.c0_1 V) tptp.hskp15)) _let_9 _let_8 _let_7 (forall ((U $$unsorted) (V $$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 V)) (tptp.c3_1 U) (tptp.c1_1 V) tptp.hskp1)) _let_6 _let_5 (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.hskp13)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c2_1 W) (tptp.c3_1 W))) _let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c1_1 W)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c3_1 W))) _let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (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_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.75  )
% 0.21/0.75  % SZS output end Proof for SYN468-1
% 0.21/0.75  % cvc5---1.0.5 exiting
% 0.21/0.75  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------