TSTP Solution File: SYN506-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN506-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 02:03:45 EDT 2023

% Result   : Unsatisfiable 0.55s 0.78s
% Output   : Proof 0.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.15/0.16  % Problem    : SYN506-1 : TPTP v8.1.2. Released v2.1.0.
% 0.15/0.16  % Command    : do_cvc5 %s %d
% 0.16/0.37  % Computer : n022.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Sat Aug 26 21:38:40 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.22/0.53  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.53  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.aJw99TiCcT/cvc5---1.0.5_21876.p...
% 0.22/0.56  ------- get file name : TPTP file name is SYN506-1
% 0.22/0.56  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_21876.smt2...
% 0.22/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.55/0.78  % SZS status Unsatisfiable for SYN506-1
% 0.55/0.78  % SZS output start Proof for SYN506-1
% 0.55/0.81  (
% 0.55/0.81  (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (not (tptp.c0_1 W)) (tptp.c2_1 V) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (not (tptp.c3_1 W)) (tptp.c2_1 V) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (not (tptp.c1_1 W)) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c2_1 W))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 W)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c2_1 W))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) tptp.hskp10)))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c2_1 V) tptp.hskp20)))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 V) tptp.hskp22)))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c3_1 U) (tptp.c2_1 V) tptp.hskp8)))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp10)))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c3_1 U) (tptp.c1_1 V) tptp.hskp19)))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp4)))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) tptp.hskp12)))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp5)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp2)))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) tptp.hskp15)))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp26)))) (let ((_let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp7)))) (let ((_let_19 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp22)))) (let ((_let_20 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp21)))) (let ((_let_21 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c0_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp7)))) (let ((_let_22 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c0_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp27)))) (let ((_let_23 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp11)))) (let ((_let_24 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp26)))) (let ((_let_25 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp12)))) (let ((_let_26 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp3 tptp.hskp10)))) (let ((_let_27 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) tptp.hskp17 tptp.hskp24)))) (let ((_let_28 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp3 tptp.hskp10)))) (let ((_let_29 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp13 tptp.hskp12)))) (let ((_let_30 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp28)))) (let ((_let_31 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp15)))) (let ((_let_32 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp7 tptp.hskp22)))) (let ((_let_33 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp13 tptp.hskp14)))) (let ((_let_34 (not tptp.hskp0))) (let ((_let_35 (not tptp.hskp1))) (let ((_let_36 (tptp.c2_1 tptp.a323))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_35))) (let ((_let_39 (tptp.c1_1 tptp.a323))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_35))) (let ((_let_42 (not tptp.hskp2))) (let ((_let_43 (tptp.c3_1 tptp.a324))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_42))) (let ((_let_46 (tptp.c1_1 tptp.a324))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_42))) (let ((_let_49 (tptp.c0_1 tptp.a324))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_42))) (let ((_let_52 (not tptp.hskp3))) (let ((_let_53 (tptp.c2_1 tptp.a325))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_52))) (let ((_let_56 (not tptp.hskp4))) (let ((_let_57 (tptp.c1_1 tptp.a326))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56))) (let ((_let_60 (not tptp.hskp5))) (let ((_let_61 (tptp.c3_1 tptp.a327))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_60))) (let ((_let_64 (not tptp.hskp6))) (let ((_let_65 (not tptp.hskp7))) (let ((_let_66 (tptp.c1_1 tptp.a330))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_67 _let_65))) (let ((_let_69 (tptp.c0_1 tptp.a330))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_65))) (let ((_let_72 (not tptp.hskp8))) (let ((_let_73 (tptp.c2_1 tptp.a332))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_74 _let_72))) (let ((_let_76 (tptp.c0_1 tptp.a332))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_72))) (let ((_let_79 (not tptp.hskp9))) (let ((_let_80 (not tptp.hskp10))) (let ((_let_81 (tptp.c3_1 tptp.a337))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_82 _let_80))) (let ((_let_84 (tptp.c2_1 tptp.a337))) (let ((_let_85 (not _let_84))) (let ((_let_86 (or _let_85 _let_80))) (let ((_let_87 (not tptp.hskp11))) (let ((_let_88 (tptp.c2_1 tptp.a338))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_89 _let_87))) (let ((_let_91 (tptp.c1_1 tptp.a338))) (let ((_let_92 (not _let_91))) (let ((_let_93 (or _let_92 _let_87))) (let ((_let_94 (tptp.c0_1 tptp.a338))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_95 _let_87))) (let ((_let_97 (not tptp.hskp12))) (let ((_let_98 (tptp.c2_1 tptp.a345))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_97))) (let ((_let_101 (not tptp.hskp13))) (let ((_let_102 (tptp.c3_1 tptp.a346))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_101))) (let ((_let_105 (not tptp.hskp14))) (let ((_let_106 (tptp.c1_1 tptp.a347))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_107 _let_105))) (let ((_let_109 (not tptp.hskp15))) (let ((_let_110 (tptp.c3_1 tptp.a348))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_111 _let_109))) (let ((_let_113 (tptp.c1_1 tptp.a348))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_114 _let_109))) (let ((_let_116 (not tptp.hskp16))) (let ((_let_117 (tptp.c2_1 tptp.a349))) (let ((_let_118 (not _let_117))) (let ((_let_119 (or _let_118 _let_116))) (let ((_let_120 (not tptp.hskp17))) (let ((_let_121 (tptp.c0_1 tptp.a353))) (let ((_let_122 (not _let_121))) (let ((_let_123 (or _let_122 _let_120))) (let ((_let_124 (not tptp.hskp18))) (let ((_let_125 (not tptp.hskp19))) (let ((_let_126 (tptp.c3_1 tptp.a355))) (let ((_let_127 (not _let_126))) (let ((_let_128 (or _let_127 _let_125))) (let ((_let_129 (not tptp.hskp20))) (let ((_let_130 (tptp.c3_1 tptp.a358))) (let ((_let_131 (not _let_130))) (let ((_let_132 (or _let_131 _let_129))) (let ((_let_133 (tptp.c0_1 tptp.a358))) (let ((_let_134 (not _let_133))) (let ((_let_135 (or _let_134 _let_129))) (let ((_let_136 (not tptp.hskp21))) (let ((_let_137 (tptp.c2_1 tptp.a359))) (let ((_let_138 (not _let_137))) (let ((_let_139 (or _let_138 _let_136))) (let ((_let_140 (tptp.c0_1 tptp.a359))) (let ((_let_141 (not _let_140))) (let ((_let_142 (or _let_141 _let_136))) (let ((_let_143 (not tptp.hskp22))) (let ((_let_144 (tptp.c2_1 tptp.a367))) (let ((_let_145 (not _let_144))) (let ((_let_146 (or _let_145 _let_143))) (let ((_let_147 (tptp.c1_1 tptp.a367))) (let ((_let_148 (not _let_147))) (let ((_let_149 (or _let_148 _let_143))) (let ((_let_150 (not tptp.hskp23))) (let ((_let_151 (not tptp.hskp24))) (let ((_let_152 (tptp.c2_1 tptp.a401))) (let ((_let_153 (not _let_152))) (let ((_let_154 (or _let_153 _let_151))) (let ((_let_155 (tptp.c0_1 tptp.a401))) (let ((_let_156 (not _let_155))) (let ((_let_157 (or _let_156 _let_151))) (let ((_let_158 (not tptp.hskp25))) (let ((_let_159 (tptp.c2_1 tptp.a419))) (let ((_let_160 (not _let_159))) (let 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_let_328 false _let_679 true _let_300 true _let_675 true _let_327 true _let_319 false _let_506 true _let_299 false _let_290 false _let_292 false _let_294 false _let_507 false tptp.hskp3 true _let_296 true _let_508 true _let_674)) _let_673 _let_655 _let_654 _let_649 _let_592 _let_590 _let_578 _let_648 _let_647 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_571 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_570)) :args _let_569)) _let_646 (MACRO_RESOLUTION_TRUST _let_644 (REORDERING (CNF_OR_POS :args (_let_634)) :args ((or _let_389 _let_387 _let_399 _let_642))) _let_420 (CNF_OR_NEG :args (_let_390 1)) _let_419 :args ((or _let_390 _let_643 _let_642) false _let_399 true _let_386 true _let_387 false _let_388)) _let_641 _let_594 _let_639 _let_638 _let_420 _let_419 :args ((or tptp.hskp10 _let_347 (not _let_395) _let_390 _let_637 _let_636) false _let_494 false _let_496 false _let_500 true _let_502 true _let_371 true _let_635 true _let_261 false tptp.hskp17 true tptp.hskp12 false _let_334 false _let_360 false _let_361 true _let_362 true _let_286 true _let_266 true _let_287 true _let_402 true _let_634 true tptp.hskp14 false _let_498 false _let_401 false _let_398 true _let_386 false _let_388)) _let_633 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_631 :args (tptp.a348 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_630)) :args _let_629)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_631 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_630)) :args _let_629)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_631 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_630)) :args _let_629)) _let_632 (MACRO_RESOLUTION_TRUST _let_628 _let_627 _let_626 _let_625 _let_621 _let_617 _let_616 _let_615 _let_613 _let_612 _let_611 _let_609 _let_606 _let_602 _let_600 _let_598 _let_594 _let_592 _let_591 _let_590 _let_579 _let_578 _let_577 _let_576 _let_572 _let_568 _let_566 (MACRO_RESOLUTION_TRUST _let_565 _let_561 _let_560 _let_553 _let_552 _let_548 _let_546 _let_545 _let_543 _let_542 _let_541 _let_540 _let_539 _let_538 _let_537 _let_536 _let_534 _let_530 _let_529 :args ((or tptp.hskp22 _let_69 _let_66 _let_347 _let_338 _let_519 _let_487) false _let_257 true _let_528 false _let_391 false _let_527 true _let_392 false _let_526 true _let_394 false _let_525 true _let_110 true _let_113 false _let_193 true _let_524 false tptp.hskp15 true _let_523 true _let_522 true _let_395 true _let_521 true _let_520)) _let_518 _let_517 _let_516 _let_515 _let_514 _let_510 _let_509 _let_415 _let_413 :args ((or tptp.hskp22 tptp.hskp10 _let_69 _let_66 _let_347 _let_367 _let_338) true _let_508 true _let_507 true _let_261 true _let_506 true _let_505 true _let_504 false _let_493 false _let_494 false _let_496 false _let_500 true _let_502 true _let_371 true _let_499 false _let_314 false _let_336 false _let_498 false _let_360 false _let_395 false _let_361 false _let_492 true _let_362 true _let_491 true _let_266 true _let_287 true _let_490 true _let_489 true _let_488 false _let_217 false _let_220 false _let_222 false tptp.hskp26 true _let_487 true _let_485 true _let_484 true _let_337 true _let_339)) _let_418 _let_415 _let_413 :args ((or tptp.hskp22 tptp.hskp10 _let_69 _let_66 _let_347 _let_338) true _let_137 true _let_140 false _let_209 false tptp.hskp21 true _let_483 true _let_268 true _let_482 true _let_464 true _let_462 true _let_463 true _let_481 true _let_479 true _let_478 false tptp.hskp8 true _let_477 false _let_476 true _let_300 false _let_287 true _let_299 false _let_286 false tptp.hskp3 false tptp.hskp17 true _let_474 true tptp.hskp24 true _let_473 false _let_472 false _let_272 true _let_436 false _let_273 false _let_438 false _let_440 false _let_467 false _let_370 true _let_469 true _let_383 true _let_313 false _let_466 true _let_381 false _let_266 false _let_231 false _let_234 false _let_236 false _let_362 false tptp.hskp28 true _let_361 true _let_360 true _let_379 true _let_117 false _let_195 false _let_197 false tptp.hskp16 true tptp.hskp25 true _let_385 true _let_384 true _let_461 true _let_126 false _let_203 false _let_205 false tptp.hskp19 true _let_458 true _let_457 true _let_456 true _let_455 true _let_61 false _let_173 false _let_175 false tptp.hskp5 true _let_452 true _let_451 true _let_450 true _let_449 true _let_447 true _let_446 true _let_445 true _let_392 true _let_444 false _let_442 true _let_394 false _let_432 false _let_261 true _let_110 true _let_113 false _let_193 false _let_435 false tptp.hskp15 true _let_434 true _let_395 false _let_369 false _let_433 false _let_431 false _let_426 false _let_421 false _let_367 true _let_390 true _let_337 true _let_339)) _let_420 _let_419 _let_418 _let_415 _let_413 _let_411 _let_410 _let_409 :args ((or tptp.hskp22 _let_65 _let_347) true _let_117 false _let_195 false _let_197 false tptp.hskp16 true tptp.hskp25 false _let_369 false _let_367 false _let_408 true _let_407 true _let_406 true _let_405 true _let_121 false _let_199 false _let_201 false tptp.hskp17 true tptp.hskp12 false _let_334 false _let_379 false _let_336 false _let_360 false _let_361 true _let_362 true _let_266 true _let_402 true tptp.hskp14 false _let_401 false _let_398 false _let_395 true tptp.hskp15 false _let_394 false _let_392 true _let_255 true _let_391 true _let_257 true _let_259 false tptp.hskp10 true _let_386 false _let_388 true _let_390 true _let_337 true _let_339 true _let_66 true _let_69 false _let_177)) :args ((or tptp.hskp22 _let_347) false _let_385 true _let_384 true _let_383 true _let_382 true _let_313 true _let_372 true _let_381 false _let_231 false _let_234 false _let_236 false tptp.hskp28 true _let_360 true _let_379 false _let_376 true _let_117 false _let_195 false _let_197 false _let_371 false tptp.hskp16 true tptp.hskp25 true _let_370 false _let_369 true _let_273 false _let_367 true _let_272 false _let_366 false tptp.hskp24 true tptp.hskp7)) _let_346 :args (tptp.hskp22 false tptp.ndr1_0)) :args (_let_365 false tptp.hskp22)))) (let ((_let_808 (MACRO_RESOLUTION_TRUST _let_792 _let_807 :args ((not _let_266) true _let_364)))) (let ((_let_809 (MACRO_RESOLUTION_TRUST _let_592 (MACRO_RESOLUTION_TRUST _let_590 (MACRO_RESOLUTION_TRUST _let_578 _let_808 :args ((not _let_362) true _let_266)) _let_346 :args (_let_361 true _let_362 false tptp.ndr1_0)) :args (_let_360 false _let_361)))) (let ((_let_810 ((not (= (tptp.c2_1 U) true))))) (let ((_let_811 (or _let_325 _let_322 _let_323))) (let ((_let_812 (not _let_326))) (let ((_let_813 (MACRO_RESOLUTION_TRUST _let_649 _let_809 :args (_let_334 false _let_360)))) (let ((_let_814 (MACRO_RESOLUTION_TRUST _let_598 _let_809 :args (_let_336 false _let_360)))) (let ((_let_815 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_247 (= U U)))))) (let ((_let_816 (MACRO_RESOLUTION_TRUST _let_413 _let_411 _let_410 _let_409 :args ((or _let_65 _let_412) true _let_66 true _let_69 false _let_177)))) (let ((_let_817 (not _let_273))) (let ((_let_818 (_let_817))) (let ((_let_819 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_818)) :args _let_818)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_817) _let_273))) (REFL :args ((not _let_279))) :args _let_342)))) (let ((_let_820 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_279 0)) (CONG (REFL :args (_let_279)) (MACRO_SR_PRED_INTRO :args ((= (not _let_278) _let_277))) :args _let_342)) :args ((or _let_277 _let_279))))) (let ((_let_821 (CNF_OR_NEG :args (_let_279 1)))) (let ((_let_822 (CNF_OR_NEG :args (_let_279 2)))) (let ((_let_823 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_597 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_810)) :args _let_595)) _let_809 :args (_let_282 false _let_360)))) (let ((_let_824 (REORDERING (CNF_OR_POS :args (_let_282)) :args ((or _let_278 _let_275 _let_281 (not _let_282)))))) (let ((_let_825 (REORDERING (CNF_OR_POS :args (_let_283)) :args ((or _let_278 _let_276 _let_280 (not _let_283)))))) (let ((_let_826 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_671 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_670)) :args _let_669)))) (let ((_let_827 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_284 (= U V)))))) (let ((_let_828 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp26 _let_347 _let_340 _let_341))))) (let ((_let_829 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (tptp.c2_1 U))))) (let ((_let_830 (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c1_1 V) (tptp.c2_1 V))))) (let ((_let_831 (or _let_49 _let_46 _let_43))) (let ((_let_832 (MACRO_RESOLUTION_TRUST _let_602 _let_600 _let_814 _let_518 _let_517 _let_516 _let_828 _let_346 _let_827 _let_826 _let_825 _let_824 _let_823 _let_822 _let_821 _let_820 _let_819 _let_606 _let_754 _let_794 _let_756 _let_796 _let_346 _let_780 :args ((or tptp.hskp7 _let_784 _let_340) false _let_314 false _let_336 false _let_217 false _let_220 false _let_222 false tptp.hskp26 false tptp.ndr1_0 true _let_341 true _let_284 true _let_283 true _let_280 false _let_282 true _let_275 true _let_276 false _let_277 true _let_279 false _let_499 true _let_273 false _let_371 true _let_272 false _let_783 false tptp.ndr1_0 false tptp.hskp24)))) (let ((_let_833 (MACRO_RESOLUTION_TRUST _let_742 (MACRO_RESOLUTION_TRUST _let_743 _let_809 :args (_let_379 false _let_360)) _let_741 _let_740 _let_739 :args (_let_116 false _let_379 true _let_117 false _let_195 false _let_197)))) (let ((_let_834 (MACRO_RESOLUTION_TRUST _let_633 (MACRO_RESOLUTION_TRUST _let_737 (MACRO_RESOLUTION_TRUST _let_738 _let_833 :args (tptp.hskp25 true tptp.hskp16)) :args (_let_736 false tptp.hskp25)) :args (_let_512 true _let_369)))) (let ((_let_835 (MACRO_RESOLUTION_TRUST _let_509 _let_834 :args ((not _let_484) true _let_367)))) (let ((_let_836 (MACRO_RESOLUTION_TRUST _let_514 _let_834 :args (_let_511 true _let_367)))) (let ((_let_837 (MACRO_RESOLUTION_TRUST _let_510 _let_834 :args ((not _let_485) true _let_367)))) (let ((_let_838 (MACRO_RESOLUTION_TRUST _let_530 _let_566 _let_536 _let_572 _let_539 _let_577 _let_543 _let_346 _let_579 _let_346 _let_837 _let_537 _let_591 _let_594 _let_722 _let_346 _let_613 _let_612 _let_611 _let_609 _let_546 _let_606 _let_552 _let_602 _let_560 _let_836 _let_600 _let_814 _let_565 _let_518 _let_517 _let_516 _let_774 _let_515 _let_346 _let_835 _let_778 _let_346 _let_814 _let_813 _let_415 _let_816 _let_411 _let_410 _let_409 _let_832 _let_797 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_800 :args (tptp.a324 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_799)) :args _let_798)) (REORDERING (CNF_OR_POS :args (_let_831)) :args ((or _let_49 _let_46 _let_43 (not _let_831)))) (REORDERING (ASSUME :args (_let_45)) :args ((or _let_42 _let_44))) (REORDERING (ASSUME :args (_let_48)) :args ((or _let_42 _let_47))) (REORDERING (ASSUME :args (_let_51)) :args ((or _let_42 _let_50))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp2 _let_347 _let_829 _let_830))) _let_346 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_266 (= U V)))) _let_808 :args ((not _let_830) true _let_266)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_247 (= U U)))) _let_815 _let_706 _let_709 :args ((or _let_97 tptp.hskp10) false _let_488 false _let_521 false _let_489 false _let_522 false _let_287 false _let_524 false tptp.ndr1_0 false _let_491 false tptp.ndr1_0 true _let_485 true _let_523 true _let_492 true _let_395 true _let_498 false tptp.ndr1_0 false _let_494 false _let_496 false _let_500 true _let_502 true _let_525 true _let_371 true _let_526 true _let_499 true _let_527 true _let_487 false _let_314 false _let_336 false _let_528 false _let_217 false _let_220 false _let_222 false _let_257 false tptp.hskp26 false tptp.ndr1_0 true _let_484 false _let_255 false tptp.ndr1_0 false _let_336 false _let_334 true _let_337 true _let_339 true _let_66 true _let_69 false _let_177 false tptp.hskp7 true _let_784 true _let_785 true _let_831 true _let_43 true _let_46 true _let_49 false tptp.hskp2 false tptp.ndr1_0 true _let_830 true _let_829 true _let_340 true _let_247 true _let_331)))) (let ((_let_839 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp12 _let_347 _let_266 _let_267))))) (let ((_let_840 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_268 (= U V)))))) (let ((_let_841 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_771 :args (tptp.a338 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_770)) :args _let_769)))) (let ((_let_842 (or _let_486 _let_248 _let_249))) (let ((_let_843 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_771 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_770)) :args _let_769)))) (let ((_let_844 (REORDERING (CNF_OR_POS :args (_let_842)) :args ((or _let_486 _let_248 _let_249 (not _let_842)))))) (let ((_let_845 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_273 (= U V)))))) (let ((_let_846 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp11 _let_347 _let_284 _let_274))))) (let ((_let_847 (REORDERING (CNF_OR_POS :args (_let_270)) :args ((or _let_91 _let_88 _let_269 (not _let_270)))))) (let ((_let_848 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_571 :args (tptp.a338 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_570)) :args _let_569)))) (let ((_let_849 (REORDERING (CNF_OR_POS :args (_let_289)) :args ((or _let_94 _let_88 _let_288 (not _let_289)))))) (let ((_let_850 (MACRO_RESOLUTION_TRUST _let_774 (MACRO_RESOLUTION_TRUST _let_773 (MACRO_RESOLUTION_TRUST _let_772 (MACRO_RESOLUTION_TRUST _let_849 _let_848 _let_847 _let_648 _let_806 _let_805 _let_804 _let_668 _let_346 _let_846 _let_346 _let_672 _let_826 _let_825 _let_824 _let_823 _let_822 _let_821 _let_820 _let_819 _let_845 _let_754 _let_756 _let_780 (MACRO_RESOLUTION_TRUST _let_530 _let_566 _let_536 _let_572 _let_539 _let_577 _let_543 _let_346 _let_579 _let_346 _let_837 _let_537 _let_591 _let_594 _let_722 _let_346 _let_613 _let_612 _let_611 _let_609 _let_606 _let_602 _let_600 _let_814 _let_518 _let_517 _let_516 _let_515 _let_346 _let_835 _let_415 _let_816 _let_411 _let_410 _let_409 _let_546 _let_552 _let_559 _let_556 _let_844 _let_558 _let_557 _let_514 _let_633 _let_737 _let_738 _let_833 _let_843 _let_840 _let_839 _let_792 _let_807 _let_346 _let_838 :args ((or tptp.hskp10 _let_65) false _let_488 false _let_521 false _let_489 false _let_522 false _let_287 false _let_524 false tptp.ndr1_0 false _let_491 false tptp.ndr1_0 true _let_485 true _let_523 true _let_492 true _let_395 true _let_498 false tptp.ndr1_0 false _let_494 false _let_496 false _let_500 true _let_502 true _let_371 true _let_499 false _let_314 false _let_336 false _let_217 false _let_220 false _let_222 false tptp.hskp26 false tptp.ndr1_0 true _let_484 true _let_337 true _let_339 true _let_66 true _let_69 false _let_177 true _let_525 true _let_526 true _let_527 false _let_251 false _let_249 true _let_248 true _let_486 true _let_487 true _let_367 true _let_369 false tptp.hskp25 true tptp.hskp16 false _let_842 false _let_268 false _let_267 true _let_266 true _let_364 false tptp.ndr1_0 true tptp.hskp12)) _let_841 _let_840 _let_839 _let_346 _let_808 _let_838 _let_662 _let_660 (MACRO_RESOLUTION_TRUST _let_600 _let_814 (REORDERING (CNF_OR_POS :args (_let_318)) :args ((or _let_317 _let_316 _let_315 (not _let_318)))) _let_518 _let_517 _let_516 _let_828 _let_346 _let_827 _let_826 _let_825 _let_824 _let_823 _let_822 _let_821 _let_820 _let_819 _let_754 _let_756 _let_780 _let_816 _let_815 _let_415 _let_706 _let_778 _let_346 _let_814 _let_813 _let_709 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_811)) :args ((or _let_325 _let_322 _let_323 (not _let_811)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_720 :args (tptp.a346 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_719)) :args _let_718)) (REORDERING (CNF_OR_POS :args (_let_326)) :args ((or _let_325 _let_322 _let_324 _let_812))) _let_714 _let_713 _let_711 _let_710 _let_346 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp13 tptp.hskp12 _let_347 _let_300))) _let_346 :args ((or tptp.hskp12 _let_300 _let_328 _let_812) false _let_811 true _let_323 false _let_450 false _let_185 false _let_187 false _let_687 false tptp.ndr1_0 false tptp.hskp13 false tptp.ndr1_0)) _let_696 _let_694 (REORDERING (CNF_OR_POS :args (_let_321)) :args ((or _let_295 _let_293 _let_320 (not _let_321)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_587 :args (tptp.a346 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_586)) :args _let_585)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_587 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_585)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_587 :args (tptp.a333 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_586)) :args _let_585)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_313 (= U U)))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp10 _let_347 _let_312 _let_311))) _let_346 _let_774 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_257 (= U V)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_564 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_563)) :args _let_562)) (REORDERING (CNF_OR_POS :args (_let_310)) :args ((or _let_305 _let_301 _let_307 (not _let_310)))) (REORDERING (CNF_OR_POS :args (_let_309)) :args ((or _let_303 _let_301 _let_308 (not _let_309)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_597 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_810)) :args _let_595)) _let_809 :args (_let_309 false _let_360)) (CNF_OR_NEG :args (_let_306 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_306 1)) (CONG _let_359 (MACRO_SR_PRED_INTRO :args ((= (not _let_303) _let_302))) :args _let_342)) :args ((or _let_302 _let_306))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_306 0)) (CONG _let_359 (MACRO_SR_PRED_INTRO :args ((= (not _let_305) _let_304))) :args _let_342)) :args ((or _let_304 _let_306))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_358)) :args _let_358)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_357) _let_300))) (REFL :args ((not _let_306))) :args _let_342)) _let_356 _let_354 _let_352 _let_351 _let_350 _let_348 _let_346 _let_345 :args ((or tptp.hskp10 _let_261) false _let_336 true _let_314 false _let_217 false _let_220 false _let_222 false tptp.hskp26 false tptp.ndr1_0 true _let_341 true _let_284 true _let_283 true _let_280 false _let_282 true _let_275 true _let_276 false _let_277 true _let_279 true _let_273 true _let_272 false tptp.hskp24 true tptp.hskp7 true _let_340 false _let_339 true _let_247 false _let_337 false tptp.ndr1_0 false _let_336 false _let_334 true _let_331 false tptp.hskp12 true _let_328 true _let_327 true _let_319 false _let_326 false _let_321 false _let_318 false _let_313 false _let_312 false tptp.ndr1_0 true _let_255 true _let_311 true _let_257 true _let_310 true _let_307 false _let_309 true _let_301 false _let_302 false _let_304 true _let_306 true _let_300 true _let_299 false _let_290 false _let_292 false _let_294 false tptp.hskp3 false tptp.ndr1_0 true _let_296)) :args (tptp.hskp10 false _let_289 false _let_269 false _let_287 true _let_88 true _let_91 true _let_94 false _let_286 false tptp.ndr1_0 false tptp.hskp11 false tptp.ndr1_0 true _let_285 true _let_284 true _let_283 true _let_280 false _let_282 true _let_275 true _let_276 false _let_277 true _let_279 true _let_274 true _let_273 true _let_272 false tptp.hskp24 true tptp.hskp7 false _let_270 false _let_268 false _let_267 false tptp.ndr1_0 true _let_266 true tptp.hskp12 true tptp.hskp27 false _let_265 false _let_261)) :args (_let_260 false tptp.hskp10)) :args ((not _let_257) true _let_259)) :args ((not _let_255) true _let_257)))) (let ((_let_851 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c0_1 U) (tptp.c3_1 U))))) (let ((_let_852 (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c2_1 V))))) (let ((_let_853 (or _let_94 _let_91 _let_269))) (let ((_let_854 (MACRO_RESOLUTION_TRUST _let_415 (MACRO_RESOLUTION_TRUST _let_816 (MACRO_RESOLUTION_TRUST _let_706 _let_815 _let_709 _let_832 _let_839 _let_346 _let_808 _let_797 _let_840 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_800 :args (tptp.a338 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_799)) :args _let_798)) _let_841 (REORDERING (CNF_OR_POS :args (_let_853)) :args ((or _let_94 _let_91 _let_269 (not _let_853)))) _let_847 _let_849 _let_848 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_287 (= U V)))) _let_806 _let_805 _let_804 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp7 _let_347 _let_851 _let_852))) _let_346 _let_846 _let_346 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_284 (= U U)))) _let_826 _let_825 _let_824 _let_823 _let_822 _let_821 _let_820 _let_819 _let_845 _let_754 _let_756 _let_780 :args (tptp.hskp7 false _let_247 true _let_331 false _let_340 false tptp.hskp12 false tptp.ndr1_0 true _let_266 true _let_784 true _let_267 true _let_785 true _let_268 true _let_853 true _let_270 true _let_269 false _let_289 false _let_287 true _let_88 true _let_91 true _let_94 false _let_852 false tptp.ndr1_0 false tptp.hskp11 false tptp.ndr1_0 true _let_851 true _let_284 true _let_283 true _let_280 false _let_282 true _let_275 true _let_276 false _let_277 true _let_279 true _let_274 true _let_273 true _let_272 false tptp.hskp24)) :args (_let_412 false tptp.hskp7)) :args (_let_416 true _let_339)))) (let ((_let_855 (MACRO_RESOLUTION_TRUST _let_515 _let_346 _let_835 _let_854 :args (tptp.hskp26 false tptp.ndr1_0 true _let_484 true _let_337)))) (let ((_let_856 (MACRO_RESOLUTION_TRUST _let_518 _let_855 :args (_let_217 false tptp.hskp26)))) (let ((_let_857 (not _let_253))) (let ((_let_858 (MACRO_RESOLUTION_TRUST _let_558 _let_836 :args ((not _let_248) true _let_487)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_705 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_704)) :args _let_703)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_253)) :args ((or _let_252 _let_248 _let_250 _let_857))) (MACRO_RESOLUTION_TRUST _let_556 _let_836 :args (_let_251 true _let_487)) _let_858 (MACRO_RESOLUTION_TRUST _let_844 (MACRO_RESOLUTION_TRUST _let_557 _let_836 :args ((not _let_486) true _let_487)) _let_858 (MACRO_RESOLUTION_TRUST _let_843 (MACRO_RESOLUTION_TRUST _let_840 (MACRO_RESOLUTION_TRUST _let_839 (MACRO_RESOLUTION_TRUST _let_778 _let_346 _let_854 _let_850 _let_814 _let_813 :args (_let_97 false tptp.ndr1_0 true _let_337 true _let_255 false _let_336 false _let_334)) _let_346 _let_808 :args (_let_267 true tptp.hskp12 false tptp.ndr1_0 true _let_266)) :args (_let_268 false _let_267)) :args (_let_842 false _let_268)) :args (_let_249 true _let_486 true _let_248 false _let_842)) :args (_let_857 false _let_251 true _let_248 false _let_249)) (MACRO_RESOLUTION_TRUST _let_775 (MACRO_RESOLUTION_TRUST _let_776 _let_346 (MACRO_RESOLUTION_TRUST _let_777 (MACRO_RESOLUTION_TRUST _let_606 (MACRO_RESOLUTION_TRUST _let_602 (MACRO_RESOLUTION_TRUST _let_516 _let_855 :args (_let_222 false tptp.hskp26)) _let_856 (MACRO_RESOLUTION_TRUST _let_600 (MACRO_RESOLUTION_TRUST _let_517 _let_855 :args (_let_220 false tptp.hskp26)) _let_856 _let_814 :args (_let_314 false _let_220 false _let_217 false _let_336)) :args (_let_601 false _let_222 false _let_217 false _let_314)) :args (_let_607 true _let_499)) :args ((not _let_256) true _let_371)) _let_850 :args (_let_254 false tptp.ndr1_0 true _let_256 true _let_255)) :args (_let_247 false _let_254)) :args (false true _let_253 false _let_247)) :args (_let_246 _let_245 (or _let_232 tptp.ndr1_0) (or _let_225 tptp.ndr1_0) _let_244 (or _let_158 tptp.ndr1_0) _let_243 (or _let_150 tptp.ndr1_0) (or _let_143 tptp.ndr1_0) (or _let_136 tptp.ndr1_0) (or _let_129 tptp.ndr1_0) (or _let_125 tptp.ndr1_0) (or _let_124 tptp.ndr1_0) (or _let_120 tptp.ndr1_0) _let_242 (or _let_109 tptp.ndr1_0) (or _let_105 tptp.ndr1_0) (or _let_101 tptp.ndr1_0) (or _let_97 tptp.ndr1_0) (or _let_87 tptp.ndr1_0) (or _let_80 tptp.ndr1_0) (or _let_79 tptp.ndr1_0) (or _let_72 tptp.ndr1_0) (or _let_65 tptp.ndr1_0) (or _let_64 tptp.ndr1_0) (or _let_60 tptp.ndr1_0) (or _let_56 tptp.ndr1_0) (or _let_52 tptp.ndr1_0) _let_241 (or _let_35 tptp.ndr1_0) (or _let_34 tptp.ndr1_0) _let_240 (or tptp.hskp3 tptp.hskp5 tptp.hskp4) (or tptp.hskp4 tptp.hskp13 tptp.hskp8) _let_239 _let_238 (or tptp.hskp17 tptp.hskp24 tptp.hskp8) (or tptp.hskp17 tptp.hskp18 tptp.hskp11) _let_237 _let_235 _let_233 _let_230 _let_228 _let_226 _let_223 _let_221 _let_219 _let_216 _let_214 (or _let_150 (tptp.c1_1 tptp.a377)) (or _let_150 (tptp.c3_1 tptp.a377)) _let_212 _let_210 _let_208 _let_206 _let_204 (or _let_124 (tptp.c1_1 tptp.a354)) _let_202 _let_200 _let_198 _let_196 _let_194 _let_192 _let_190 _let_188 _let_186 _let_184 _let_182 _let_180 (or _let_79 (tptp.c2_1 tptp.a334)) _let_178 (or _let_64 (tptp.c2_1 tptp.a329)) _let_176 _let_174 _let_172 _let_170 _let_168 _let_166 (or _let_34 (tptp.c2_1 tptp.a322)) (or _let_34 (tptp.c3_1 tptp.a322)) _let_164 _let_161 _let_157 _let_154 (or (not (tptp.c0_1 tptp.a377)) _let_150) _let_149 _let_146 _let_142 _let_139 _let_135 _let_132 _let_128 (or (not (tptp.c2_1 tptp.a354)) _let_124) (or (not (tptp.c3_1 tptp.a354)) _let_124) _let_123 _let_119 _let_115 _let_112 _let_108 _let_104 _let_100 _let_96 _let_93 _let_90 _let_86 _let_83 (or (not (tptp.c0_1 tptp.a334)) _let_79) (or (not (tptp.c1_1 tptp.a334)) _let_79) _let_78 _let_75 (or (not (tptp.c3_1 tptp.a332)) _let_72) _let_71 _let_68 (or (not (tptp.c1_1 tptp.a329)) _let_64) (or (not (tptp.c3_1 tptp.a329)) _let_64) _let_63 _let_59 _let_55 _let_51 _let_48 _let_45 _let_41 _let_38 (or (not (tptp.c3_1 tptp.a323)) _let_35) (or (not (tptp.c0_1 tptp.a322)) _let_34) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp3 tptp.hskp4)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp5 tptp.hskp1)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp5 tptp.hskp10)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp5 tptp.hskp14)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp15 tptp.hskp16)) _let_33 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp19 tptp.hskp0)) _let_32 _let_31 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp28 tptp.hskp27)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp3 tptp.hskp8)) _let_30 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp16 tptp.hskp9)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp17 tptp.hskp18)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp19 tptp.hskp11)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp26 tptp.hskp27)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp23 tptp.hskp22)) _let_29 _let_28 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp4 tptp.hskp16)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp2 tptp.hskp1)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp28 tptp.hskp7)) _let_27 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp5 tptp.hskp16)) _let_26 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp0)) (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.c2_1 V) tptp.hskp1)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp2)) _let_25 _let_24 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp9)) _let_23 _let_22 _let_21 (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.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp20)) _let_20 _let_19 (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) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp6)) _let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp5)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp5)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp4)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp28)) _let_17 (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.c0_1 V) (tptp.c3_1 V) tptp.hskp12)) _let_16 _let_15 _let_14 (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.hskp19)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp8)) (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.c3_1 V)) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp7)) _let_13 _let_12 _let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c1_1 V) tptp.hskp14)) (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.c2_1 U) (tptp.c1_1 V) tptp.hskp17)) _let_10 _let_9 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 V) tptp.hskp6)) _let_8 _let_7 _let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (not (tptp.c1_1 W)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c2_1 W))) _let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (not (tptp.c1_1 W)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c3_1 W))) _let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 W)) (not (tptp.c3_1 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c0_1 W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c2_1 W))) _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.55/0.81  )
% 0.55/0.81  % SZS output end Proof for SYN506-1
% 0.65/0.81  % cvc5---1.0.5 exiting
% 0.65/0.81  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------