TSTP Solution File: SYN509-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN509-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 02:03:47 EDT 2023
% Result : Unsatisfiable 0.20s 0.71s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN509-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.17/0.35 % Computer : n019.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Sat Aug 26 21:11:13 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.UqpzajcInm/cvc5---1.0.5_29287.p...
% 0.20/0.52 ------- get file name : TPTP file name is SYN509-1
% 0.20/0.53 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29287.smt2...
% 0.20/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.71 % SZS status Unsatisfiable for SYN509-1
% 0.20/0.71 % SZS output start Proof for SYN509-1
% 0.20/0.73 (
% 0.20/0.73 (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c2_1 W)) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c1_1 W)) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (not (tptp.c0_1 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$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)) (not (tptp.c1_1 W)) (tptp.c3_1 U) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (not (tptp.c1_1 W)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_8 (forall ((U $$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) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_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.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 V) tptp.hskp25)))) (let ((_let_10 (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)) (not (tptp.c2_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) tptp.hskp8)))) (let ((_let_11 (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.c3_1 V) tptp.hskp16)))) (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.c0_1 V)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp3)))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp14)))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp28)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp9)))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp11)))) (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.c3_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V))))) (let ((_let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp3)))) (let ((_let_19 (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.c1_1 V) (tptp.c2_1 V) tptp.hskp0)))) (let ((_let_20 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp24 tptp.hskp8)))) (let ((_let_21 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp28 tptp.hskp19)))) (let ((_let_22 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp14 tptp.hskp12)))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp29 tptp.hskp16)))) (let ((_let_24 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp23 tptp.hskp7)))) (let ((_let_25 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp2 tptp.hskp1)))) (let ((_let_26 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp14 tptp.hskp2)))) (let ((_let_27 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp8 tptp.hskp9)))) (let ((_let_28 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp29 tptp.hskp10)))) (let ((_let_29 (not tptp.hskp0))) (let ((_let_30 (tptp.c2_1 tptp.a432))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_29))) (let ((_let_33 (tptp.c0_1 tptp.a432))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_29))) (let ((_let_36 (not tptp.hskp1))) (let ((_let_37 (tptp.c2_1 tptp.a433))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36))) (let ((_let_40 (tptp.c1_1 tptp.a433))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_36))) (let ((_let_43 (tptp.c0_1 tptp.a433))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_36))) (let ((_let_46 (not tptp.hskp2))) (let ((_let_47 (tptp.c3_1 tptp.a434))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_46))) (let ((_let_50 (tptp.c1_1 tptp.a434))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_46))) (let ((_let_53 (not tptp.hskp3))) (let ((_let_54 (tptp.c3_1 tptp.a435))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_53))) (let ((_let_57 (tptp.c0_1 tptp.a435))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_53))) (let ((_let_60 (not tptp.hskp4))) (let ((_let_61 (not tptp.hskp5))) (let ((_let_62 (not tptp.hskp6))) (let ((_let_63 (not tptp.hskp7))) (let ((_let_64 (tptp.c2_1 tptp.a443))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63))) (let ((_let_67 (tptp.c1_1 tptp.a443))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_63))) (let ((_let_70 (not tptp.hskp8))) (let ((_let_71 (tptp.c3_1 tptp.a444))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_70))) (let ((_let_74 (tptp.c0_1 tptp.a444))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_75 _let_70))) (let ((_let_77 (not tptp.hskp9))) (let ((_let_78 (tptp.c3_1 tptp.a445))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_79 _let_77))) (let ((_let_81 (tptp.c1_1 tptp.a445))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_82 _let_77))) (let ((_let_84 (tptp.c0_1 tptp.a445))) (let ((_let_85 (not _let_84))) (let ((_let_86 (or _let_85 _let_77))) (let ((_let_87 (not tptp.hskp10))) (let ((_let_88 (tptp.c2_1 tptp.a448))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_89 _let_87))) (let ((_let_91 (tptp.c0_1 tptp.a448))) (let ((_let_92 (not _let_91))) (let ((_let_93 (or _let_92 _let_87))) (let ((_let_94 (not tptp.hskp11))) (let ((_let_95 (tptp.c3_1 tptp.a449))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_96 _let_94))) (let ((_let_98 (tptp.c1_1 tptp.a449))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_94))) (let ((_let_101 (not tptp.hskp12))) (let ((_let_102 (tptp.c0_1 tptp.a450))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_101))) (let ((_let_105 (not tptp.hskp13))) (let ((_let_106 (not tptp.hskp14))) (let ((_let_107 (tptp.c2_1 tptp.a452))) (let ((_let_108 (not _let_107))) (let ((_let_109 (or _let_108 _let_106))) (let ((_let_110 (not tptp.hskp15))) (let ((_let_111 (not tptp.hskp16))) (let ((_let_112 (tptp.c2_1 tptp.a457))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_113 _let_111))) (let ((_let_115 (not tptp.hskp17))) (let ((_let_116 (not tptp.hskp18))) (let ((_let_117 (not tptp.hskp19))) (let ((_let_118 (tptp.c2_1 tptp.a467))) (let ((_let_119 (not _let_118))) (let ((_let_120 (or _let_119 _let_117))) (let ((_let_121 (tptp.c1_1 tptp.a467))) (let ((_let_122 (not _let_121))) (let ((_let_123 (or _let_122 _let_117))) (let ((_let_124 (not tptp.hskp20))) (let ((_let_125 (not tptp.hskp21))) (let ((_let_126 (not tptp.hskp22))) (let ((_let_127 (not tptp.hskp23))) (let ((_let_128 (tptp.c3_1 tptp.a484))) (let ((_let_129 (not _let_128))) (let ((_let_130 (or _let_129 _let_127))) (let ((_let_131 (tptp.c2_1 tptp.a484))) (let ((_let_132 (not _let_131))) (let ((_let_133 (or _let_132 _let_127))) (let ((_let_134 (not tptp.hskp24))) (let ((_let_135 (tptp.c0_1 tptp.a486))) (let ((_let_136 (not _let_135))) (let ((_let_137 (or _let_136 _let_134))) (let ((_let_138 (not tptp.hskp25))) (let ((_let_139 (tptp.c0_1 tptp.a489))) (let ((_let_140 (not _let_139))) (let ((_let_141 (or _let_140 _let_138))) (let ((_let_142 (not tptp.hskp26))) (let ((_let_143 (not tptp.hskp27))) (let ((_let_144 (tptp.c3_1 tptp.a432))) (let ((_let_145 (or _let_29 _let_144))) (let ((_let_146 (tptp.c0_1 tptp.a434))) (let ((_let_147 (or _let_46 _let_146))) (let ((_let_148 (tptp.c1_1 tptp.a435))) (let ((_let_149 (or _let_53 _let_148))) (let ((_let_150 (tptp.c3_1 tptp.a443))) (let ((_let_151 (or _let_63 _let_150))) (let ((_let_152 (tptp.c2_1 tptp.a444))) (let ((_let_153 (or _let_70 _let_152))) (let ((_let_154 (tptp.c1_1 tptp.a448))) (let ((_let_155 (or _let_87 _let_154))) (let ((_let_156 (tptp.c2_1 tptp.a449))) (let ((_let_157 (or _let_94 _let_156))) (let ((_let_158 (tptp.c3_1 tptp.a450))) (let ((_let_159 (or _let_101 _let_158))) (let ((_let_160 (tptp.c1_1 tptp.a450))) (let ((_let_161 (or _let_101 _let_160))) (let ((_let_162 (tptp.c1_1 tptp.a452))) (let ((_let_163 (or _let_106 _let_162))) (let ((_let_164 (tptp.c0_1 tptp.a452))) (let ((_let_165 (or _let_106 _let_164))) (let ((_let_166 (tptp.c3_1 tptp.a457))) (let ((_let_167 (or _let_111 _let_166))) (let ((_let_168 (tptp.c1_1 tptp.a457))) (let ((_let_169 (or _let_111 _let_168))) (let ((_let_170 (tptp.c0_1 tptp.a467))) (let ((_let_171 (or _let_117 _let_170))) (let ((_let_172 (tptp.c1_1 tptp.a484))) (let ((_let_173 (or _let_127 _let_172))) (let ((_let_174 (tptp.c2_1 tptp.a486))) (let ((_let_175 (or _let_134 _let_174))) (let ((_let_176 (tptp.c1_1 tptp.a486))) (let ((_let_177 (or _let_134 _let_176))) (let ((_let_178 (tptp.c3_1 tptp.a489))) (let 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((_let_506 (_let_232))) (let ((_let_507 ((not (= (tptp.c0_1 U) false))))) (let ((_let_508 (ASSUME :args _let_506))) (let ((_let_509 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_508 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_507)) :args _let_506)))) (let ((_let_510 (REFL :args (_let_462)))) (let ((_let_511 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_232 (= U U)))))) (let ((_let_512 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_513 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_262 (= V W)))))) (let ((_let_514 (_let_256))) (let ((_let_515 ((not (= (tptp.c1_1 V) false))))) (let ((_let_516 (ASSUME :args _let_514))) (let ((_let_517 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_367 :args (tptp.a435 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_366)) :args _let_365)))) (let ((_let_518 (not _let_256))) (let ((_let_519 (_let_518))) (let ((_let_520 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_519)) :args 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(_let_161)))) (let ((_let_594 (ASSUME :args (_let_159)))) (let ((_let_595 (REORDERING (ASSUME :args (_let_104)) :args ((or _let_101 _let_103))))) (let ((_let_596 (REORDERING (CNF_OR_POS :args (_let_243)) :args ((or _let_242 _let_239 _let_241 (not _let_243)))))) (let ((_let_597 (REORDERING (CNF_OR_POS :args (_let_254)) :args ((or _let_102 _let_242 _let_239 (not _let_254)))))) (let ((_let_598 (REORDERING (CNF_OR_POS :args (_let_255)) :args ((or _let_242 _let_239 _let_240 (not _let_255)))))) (let ((_let_599 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_516 :args (tptp.a450 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_515)) :args _let_514)))) (let ((_let_600 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_500 :args (tptp.a450 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_499)) :args _let_498)))) (let ((_let_601 (_let_297))) (let ((_let_602 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_367 :args (tptp.a484 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_366)) :args _let_365)))) (let ((_let_603 (not _let_265))) (let ((_let_604 (_let_603))) (let ((_let_605 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_604)) :args _let_604)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_603) _let_265))) (REFL :args ((not _let_270))) :args _let_431)))) (let ((_let_606 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_270 0)) (CONG (REFL :args (_let_270)) (MACRO_SR_PRED_INTRO :args ((= (not _let_269) _let_268))) :args _let_431)) :args ((or _let_268 _let_270))))) (let ((_let_607 (CNF_OR_NEG :args (_let_270 1)))) (let ((_let_608 (CNF_OR_NEG :args (_let_270 2)))) (let ((_let_609 (not _let_264))) (let ((_let_610 (not _let_222))) (let ((_let_611 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_264)) :args ((or _let_128 _let_219 _let_220 _let_609))) (REORDERING (CNF_OR_POS :args (_let_222)) :args ((or _let_131 _let_219 _let_221 _let_610))) (REORDERING (ASSUME :args (_let_130)) :args ((or _let_127 _let_129))) (REORDERING (ASSUME :args (_let_133)) :args ((or _let_127 _let_132))) (ASSUME :args (_let_173)) :args ((or _let_127 _let_610 _let_609) true _let_220 true _let_128 true _let_131 false _let_172)))) (let ((_let_612 (not _let_150))) (let ((_let_613 (or _let_612 _let_67 _let_64))) (let ((_let_614 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_615 (or _let_269 _let_614 _let_266))) (let ((_let_616 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (tptp.c1_1 U) (tptp.c3_1 U))))) (let ((_let_617 (not _let_614))) (let ((_let_618 (or _let_617 _let_267 _let_266))) (let ((_let_619 (tptp.c2_1 tptp.a434))) (let ((_let_620 (not _let_619))) (let ((_let_621 (or _let_620 _let_50 _let_47))) (let ((_let_622 (or _let_472 _let_50 _let_619))) (let ((_let_623 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_409 :args (tptp.a443 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_408)) :args _let_407)))) (let ((_let_624 (not _let_613))) (let ((_let_625 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_613)) :args ((or _let_67 _let_64 _let_612 _let_624))) (REORDERING (ASSUME :args (_let_66)) :args ((or _let_63 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((or _let_87 _let_92))) (ASSUME :args (_let_155)) _let_384 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp29 tptp.hskp10 _let_271 _let_630))) _let_383 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_634) :args (tptp.a445 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) true))))) :args _let_634)) _let_380 _let_381 (REORDERING (CNF_OR_POS :args (_let_629)) :args ((or _let_84 _let_78 _let_298 (not _let_629)))) _let_379 (REORDERING (CNF_OR_POS :args (_let_300)) :args ((or _let_84 _let_81 _let_299 _let_633))) _let_371 :args ((or tptp.hskp29 tptp.hskp23 _let_84 _let_81 _let_78 _let_271 _let_296 _let_633) true _let_616 true tptp.hskp7 true _let_328 false _let_613 true _let_331 false _let_211 false tptp.hskp11 true _let_347 true _let_346 true _let_345 false tptp.hskp19 true tptp.hskp28 true _let_348 false _let_343 true _let_349 false _let_339 true _let_632 false _let_338 true _let_88 true _let_91 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(REORDERING (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp3 _let_271 _let_455 _let_468))) _let_531 _let_530 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_265 (= U U)))) _let_528 _let_526 _let_525 _let_524 _let_523 _let_522 _let_520 _let_517 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_516 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_515)) :args _let_514)) _let_513 (REORDERING (CNF_OR_POS :args (_let_463)) :args ((or _let_443 _let_441 _let_444 (not _let_463)))) _let_512 (REORDERING (CNF_OR_POS :args (_let_446)) :args ((or _let_443 _let_441 _let_445 (not _let_446)))) _let_511 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_462 1)) (CONG _let_510 (MACRO_SR_PRED_INTRO :args ((= (not _let_441) _let_440))) :args _let_431)) :args ((or _let_440 _let_462))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_462 0)) (CONG _let_510 (MACRO_SR_PRED_INTRO :args ((= (not _let_443) _let_442))) :args _let_431)) :args ((or _let_442 _let_462))) _let_509 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_505)) :args _let_505)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_504) _let_257))) (REFL :args ((not _let_462))) :args _let_431)) _let_503 _let_502 _let_501 _let_497 _let_496 _let_494 _let_493 _let_491 _let_490 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_212 (= U U)))) _let_487 _let_486 _let_484 _let_483 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_430 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_429)) :args _let_428)) _let_427 _let_421 _let_482 _let_478 _let_439 :args ((or tptp.hskp8 _let_271 _let_212) true _let_78 true _let_81 true _let_84 false tptp.hskp9 true _let_309 true _let_308 true _let_307 true _let_305 true _let_211 true _let_475 false _let_470 true _let_37 true _let_40 true _let_43 false tptp.hskp1 true tptp.hskp2 false _let_473 false _let_471 false _let_329 false _let_469 false _let_333 false _let_468 false _let_467 true tptp.hskp3 true _let_466 true _let_265 true _let_263 true _let_246 true _let_258 false _let_244 false _let_248 true _let_259 false _let_465 true _let_256 false _let_262 true _let_463 false _let_261 true _let_444 true _let_233 false _let_440 false _let_442 true _let_232 true _let_462 true _let_260 true _let_461 true _let_257 true _let_447 true _let_460 false _let_449 false _let_451 false tptp.hskp16 true _let_457 true _let_455 true _let_454 true tptp.hskp29 false _let_285 false _let_453 false _let_446 false _let_279 true tptp.hskp24 false _let_250 false _let_238 false _let_278)) _let_439 _let_421 :args ((or tptp.hskp8 _let_271) true _let_78 true _let_81 true _let_84 false tptp.hskp9 true _let_309 true _let_308 true _let_307 true _let_305 true _let_211 true tptp.hskp23 true _let_266 true _let_267 false _let_268 true _let_270 true _let_265 false _let_264 true _let_263 false _let_300 false _let_262 true _let_246 false _let_297 false _let_261 true _let_258 false _let_244 false _let_248 false (forall ((W $$unsorted)) (or (not (tptp.c2_1 W)) (tptp.c0_1 W) (tptp.c1_1 W))) true _let_260 true _let_259 true (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V))) true _let_257 true _let_256 true _let_255 true _let_254 true _let_240 true _let_102 false _let_158 false _let_160 true (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (tptp.c3_1 U))) false tptp.hskp12 true _let_296 true _let_233 true _let_253 true _let_295 true _let_232 true _let_294 true _let_226 true _let_231 false _let_291 false _let_227 false _let_229 true _let_293 true _let_290 true _let_289 false _let_196 false _let_199 false _let_201 false tptp.hskp30 true tptp.hskp29 true tptp.hskp14 false _let_250 false _let_243 false _let_285 false _let_281 false _let_225 false _let_222 false _let_238 false _let_279 false _let_212 false _let_278 true tptp.hskp24)))) (let ((_let_636 (not _let_208))) (let ((_let_637 (REORDERING (ASSUME :args (_let_76)) :args ((or _let_70 _let_75))))) (let ((_let_638 (REORDERING (ASSUME :args (_let_73)) :args ((or _let_70 _let_72))))) (let ((_let_639 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_208)) :args ((or _let_74 _let_71 _let_207 _let_636))) _let_638 _let_637 (ASSUME :args (_let_153)) :args ((or _let_70 _let_636) true _let_71 true _let_74 false _let_152)))) (let ((_let_640 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_364 :args (tptp.a444 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_363)) :args _let_362)))) (let ((_let_641 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_209 (= U W)))))) (let ((_let_642 (or _let_452 _let_448 _let_456))) (let ((_let_643 (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (tptp.c0_1 V) (tptp.c3_1 V))))) (let ((_let_644 (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (tptp.c0_1 V) (tptp.c3_1 V))))) (let ((_let_645 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (tptp.c0_1 U))))) (let ((_let_646 (not _let_178))) (let ((_let_647 (not _let_180))) (let ((_let_648 (or _let_647 _let_646 _let_139))) (let ((_let_649 (or _let_228 _let_292 _let_280))) (let ((_let_650 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_651 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 V))))) (let ((_let_652 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_653 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_209 (= U V)))))) (let ((_let_654 (MACRO_RESOLUTION_TRUST _let_569 (REORDERING (ASSUME :args (_let_204)) :args ((or tptp.ndr1_0 _let_106))) (REORDERING (ASSUME :args (_let_205)) :args ((or tptp.ndr1_0 _let_134))) :args ((or tptp.hskp30 tptp.ndr1_0) true tptp.hskp14 true tptp.hskp24)))) (let ((_let_655 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_317 (= U U)))))) (let ((_let_656 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp14 _let_271 _let_645 _let_644))))) (let ((_let_657 (not _let_648))) (let ((_let_658 (MACRO_RESOLUTION_TRUST _let_496 _let_501 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp16 _let_271 _let_652 _let_643))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_257 (= U V)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_238 (= U U)))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp25 _let_271 _let_650 _let_651))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_481 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_480)) :args _let_479)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_279 (= U U)))) (REORDERING (CNF_OR_POS :args (_let_649)) :args ((or _let_228 _let_292 _let_280 (not _let_649)))) _let_565 _let_586 _let_587 _let_582 _let_581 _let_580 _let_578 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_648)) :args ((or _let_139 _let_647 _let_646 _let_657))) (REORDERING (ASSUME :args (_let_141)) :args ((or _let_138 _let_140))) (ASSUME :args (_let_179)) (ASSUME :args (_let_181)) :args ((or _let_138 _let_657) true _let_139 false _let_178 false _let_180)) _let_575 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_417 :args (tptp.a489 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_416)) :args _let_415)) _let_573 _let_655 _let_572 _let_571 _let_570 _let_656 (MACRO_RESOLUTION_TRUST _let_640 _let_639 _let_653 _let_419 _let_656 _let_420 _let_655 _let_418 _let_414 _let_413 _let_358 _let_322 _let_321 _let_320 _let_319 _let_569 _let_654 :args ((or tptp.hskp30 tptp.hskp14) true _let_208 false _let_209 false tptp.hskp8 false _let_644 true _let_318 true _let_645 true _let_317 true _let_315 false _let_313 true _let_316 true _let_312 true _let_135 false _let_174 false _let_176 false tptp.hskp24 false tptp.ndr1_0)) _let_653 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_209 (= U V)))) _let_640 _let_639 _let_635 :args ((or tptp.hskp14 _let_271 _let_584) false _let_460 false tptp.hskp16 false _let_257 true _let_652 false _let_651 true _let_238 true _let_650 true _let_649 true _let_279 false _let_226 true _let_281 false _let_291 false _let_227 false _let_229 true _let_293 true tptp.hskp25 true _let_290 false _let_648 true _let_289 false _let_317 false _let_196 false _let_199 false _let_201 false _let_645 false tptp.hskp30 true _let_644 true _let_643 true _let_209 true _let_208 false tptp.hskp8)))) (let ((_let_659 (tptp.c1_1 tptp.a444))) (let ((_let_660 (not _let_659))) (let ((_let_661 (or _let_660 _let_74 _let_71))) (let ((_let_662 (or _let_74 _let_659 _let_71))) (let ((_let_663 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_232 (= U V)))))) (let ((_let_664 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_665 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_238 (= U U)))))) (let ((_let_666 (not _let_232))) (let ((_let_667 (_let_666))) (let ((_let_668 (REFL :args (_let_236)))) (let ((_let_669 (MACRO_RESOLUTION_TRUST _let_628 _let_608 _let_607 _let_606 _let_605 _let_611 _let_528 _let_602 _let_526 _let_513 _let_525 _let_512 _let_524 _let_523 _let_522 _let_503 _let_520 _let_600 _let_599 _let_598 _let_597 _let_596 _let_595 _let_594 _let_593 _let_592 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_591 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_590)) :args _let_589)) (REORDERING (CNF_OR_POS :args (_let_252)) :args ((or _let_217 _let_235 _let_251 (not _let_252)))) _let_482 _let_566 (REORDERING (CNF_OR_POS :args (_let_218)) :args ((or _let_217 _let_215 _let_213 (not _let_218)))) _let_665 (CNF_OR_NEG :args (_let_236 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_236 1)) (CONG _let_668 (MACRO_SR_PRED_INTRO :args ((= (not _let_215) _let_214))) :args _let_431)) :args ((or _let_214 _let_236))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_236 0)) (CONG _let_668 (MACRO_SR_PRED_INTRO :args ((= (not _let_217) _let_216))) :args _let_431)) :args ((or _let_216 _let_236))) _let_664 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_667)) :args _let_667)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_666) _let_232))) (REFL :args ((not _let_236))) :args _let_431)) _let_663 _let_511 _let_588 _let_658 _let_568 _let_564 _let_562 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_561 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_563)) :args _let_560)) (MACRO_RESOLUTION_TRUST _let_491 _let_486 _let_496 _let_484 _let_501 _let_665 _let_503 _let_664 _let_512 _let_663 _let_511 _let_509 _let_502 _let_497 _let_483 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_279 (= U U)))) (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_262 (= V W)))) _let_513 (MACRO_RESOLUTION_TRUST _let_532 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_378 :args (tptp.a444 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_377)) :args _let_376)) _let_531 (REORDERING (CNF_OR_POS :args (_let_662)) :args ((or _let_74 _let_71 _let_659 (not _let_662)))) _let_530 (REORDERING (CNF_OR_POS :args (_let_661)) :args ((or _let_74 _let_71 _let_660 (not _let_661)))) _let_517 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_367 :args (tptp.a444 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_366)) :args _let_365)) _let_637 _let_638 _let_635 :args ((or _let_271 _let_454 (not _let_262)) true _let_333 false _let_467 true _let_662 true tptp.hskp3 true _let_659 false _let_465 false _let_661 true _let_74 true _let_71 false tptp.hskp8)) _let_494 _let_493 _let_490 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_212 (= U V)))) _let_487 _let_641 _let_640 _let_639 _let_635 :args ((or _let_271 _let_212) true tptp.hskp29 true tptp.hskp16 false _let_285 false _let_460 false _let_238 false _let_257 false _let_237 false _let_260 true _let_234 true _let_233 true _let_232 true _let_461 true _let_447 false _let_453 false _let_279 false (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)))) true (forall ((W $$unsorted)) (or (not (tptp.c1_1 W)) (tptp.c0_1 W) (tptp.c3_1 W))) true _let_261 true _let_262 false _let_449 false _let_451 true _let_457 true (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c2_1 V))) true _let_454 true _let_210 true _let_209 true _let_208 false tptp.hskp8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_642)) :args ((or _let_452 _let_456 _let_448 (not _let_642)))) _let_502 (CNF_OR_NEG :args (_let_457 2)) _let_494 _let_493 _let_490 _let_564 _let_568 _let_658 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_554 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_553)) (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_308 (= U V)))) _let_509 _let_588 _let_557 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_232 (= U U)))) _let_555 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) _let_540 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_211 (= U V)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_209 (= U W)))) _let_640 _let_639 _let_635 :args ((or _let_271 _let_211) false _let_447 true _let_456 false _let_449 false _let_451 true _let_457 true _let_212 true _let_225 false tptp.hskp14 false _let_642 false _let_546 true (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c1_1 V))) false _let_461 false _let_231 true _let_308 false _let_232 true _let_307 false (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (tptp.c3_1 U))) true _let_305 true (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c1_1 V) (tptp.c2_1 V))) true (forall ((W $$unsorted)) (or (not (tptp.c2_1 W)) (tptp.c0_1 W) (tptp.c3_1 W))) true _let_209 true _let_208 false tptp.hskp8)) _let_641 _let_640 _let_639 _let_635 :args (_let_271 true _let_266 true _let_267 false _let_268 true _let_270 true tptp.hskp23 true _let_265 false _let_264 true _let_263 false _let_262 true _let_246 false _let_261 true _let_258 false _let_244 false _let_248 true _let_260 true _let_259 true _let_257 true _let_256 true _let_255 true _let_254 true _let_240 true _let_102 false _let_158 false _let_160 false tptp.hskp12 true _let_253 true _let_252 false _let_250 false _let_243 false _let_213 false _let_238 true _let_235 false _let_214 false _let_216 false _let_237 true _let_236 true _let_234 true _let_233 true _let_232 true _let_231 true tptp.hskp14 false _let_225 false _let_222 false _let_218 false _let_212 false _let_211 true _let_210 true _let_209 true _let_208 false tptp.hskp8)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_654 (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_206)) :args ((or tptp.ndr1_0 _let_197))) _let_669 :args (_let_197 true tptp.ndr1_0)) _let_669 :args (false true tptp.hskp30 true tptp.ndr1_0)) :args (_let_206 (or _let_190 tptp.ndr1_0) (or _let_183 tptp.ndr1_0) (or _let_143 tptp.ndr1_0) (or _let_142 tptp.ndr1_0) (or _let_138 tptp.ndr1_0) _let_205 (or _let_127 tptp.ndr1_0) (or _let_126 tptp.ndr1_0) (or _let_125 tptp.ndr1_0) (or _let_124 tptp.ndr1_0) (or _let_117 tptp.ndr1_0) (or _let_116 tptp.ndr1_0) (or _let_115 tptp.ndr1_0) (or _let_111 tptp.ndr1_0) (or _let_110 tptp.ndr1_0) _let_204 (or _let_105 tptp.ndr1_0) (or _let_101 tptp.ndr1_0) (or _let_94 tptp.ndr1_0) (or _let_87 tptp.ndr1_0) (or _let_77 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_60 tptp.ndr1_0) (or _let_53 tptp.ndr1_0) (or _let_46 tptp.ndr1_0) (or _let_36 tptp.ndr1_0) (or _let_29 tptp.ndr1_0) _let_203 (or tptp.hskp14 tptp.hskp19 tptp.hskp13) (or tptp.hskp17 tptp.hskp10 tptp.hskp23) (or tptp.hskp6 tptp.hskp20 tptp.hskp13) (or tptp.hskp24 tptp.hskp12 tptp.hskp3) (or tptp.hskp10 tptp.hskp8 tptp.hskp1) _let_202 _let_200 _let_198 _let_195 _let_193 _let_191 _let_188 _let_186 _let_184 (or _let_142 (tptp.c1_1 tptp.a492)) (or _let_142 (tptp.c2_1 tptp.a492)) _let_181 _let_179 _let_177 _let_175 _let_173 (or _let_126 (tptp.c2_1 tptp.a475)) (or _let_125 (tptp.c0_1 tptp.a474)) (or _let_125 (tptp.c1_1 tptp.a474)) (or _let_124 (tptp.c0_1 tptp.a472)) (or _let_124 (tptp.c3_1 tptp.a472)) _let_171 (or _let_115 (tptp.c0_1 tptp.a463)) (or _let_115 (tptp.c2_1 tptp.a463)) _let_169 _let_167 (or _let_110 (tptp.c3_1 tptp.a454)) _let_165 _let_163 (or _let_105 (tptp.c2_1 tptp.a451)) (or _let_105 (tptp.c3_1 tptp.a451)) _let_161 _let_159 _let_157 _let_155 _let_153 _let_151 (or _let_62 (tptp.c0_1 tptp.a442)) (or _let_62 (tptp.c2_1 tptp.a442)) (or _let_61 (tptp.c0_1 tptp.a441)) (or _let_60 (tptp.c0_1 tptp.a439)) (or _let_60 (tptp.c3_1 tptp.a439)) _let_149 _let_147 _let_145 (or (not (tptp.c0_1 tptp.a509)) _let_143) (or (not (tptp.c2_1 tptp.a509)) _let_143) (or (not (tptp.c3_1 tptp.a509)) _let_143) (or (not (tptp.c3_1 tptp.a492)) _let_142) _let_141 _let_137 _let_133 _let_130 (or (not (tptp.c0_1 tptp.a475)) _let_126) (or (not (tptp.c1_1 tptp.a475)) _let_126) (or (not (tptp.c3_1 tptp.a474)) _let_125) (or (not (tptp.c2_1 tptp.a472)) _let_124) _let_123 _let_120 (or (not (tptp.c1_1 tptp.a466)) _let_116) (or (not (tptp.c2_1 tptp.a466)) _let_116) (or (not (tptp.c3_1 tptp.a466)) _let_116) (or (not (tptp.c1_1 tptp.a463)) _let_115) _let_114 (or (not (tptp.c0_1 tptp.a454)) _let_110) (or (not (tptp.c1_1 tptp.a454)) _let_110) _let_109 (or (not (tptp.c1_1 tptp.a451)) _let_105) _let_104 _let_100 _let_97 _let_93 _let_90 _let_86 _let_83 _let_80 _let_76 _let_73 _let_69 _let_66 (or (not (tptp.c3_1 tptp.a442)) _let_62) (or (not (tptp.c2_1 tptp.a441)) _let_61) (or (not (tptp.c3_1 tptp.a441)) _let_61) (or (not (tptp.c1_1 tptp.a439)) _let_60) _let_59 _let_56 _let_52 _let_49 _let_45 _let_42 _let_39 _let_35 _let_32 _let_28 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp28 tptp.hskp0)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp4 tptp.hskp1)) (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp6 tptp.hskp7)) _let_27 _let_26 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp15 tptp.hskp9)) (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp30 tptp.hskp16)) _let_25 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp6 tptp.hskp18)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp19 tptp.hskp1)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp30 tptp.hskp11)) _let_24 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp21 tptp.hskp22)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp8 tptp.hskp0)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp4 tptp.hskp13)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp26 tptp.hskp8)) _let_23 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp30 tptp.hskp26)) _let_22 _let_21 _let_20 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp26 tptp.hskp27)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp12 tptp.hskp3)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp29 tptp.hskp0)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp11 tptp.hskp15)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp6 tptp.hskp0)) _let_19 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp1)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp2)) _let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp5)) _let_17 _let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp12)) _let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp19)) _let_14 (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.hskp1)) (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.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp1)) (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) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp28)) _let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp13)) (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)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp17)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp20)) _let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) tptp.hskp24)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) tptp.hskp10)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp13)) _let_11 _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.c2_1 U) (tptp.c0_1 V) tptp.hskp6)) (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.hskp5)) (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.c1_1 U) (tptp.c0_1 V) tptp.hskp1)) (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.c2_1 U) (tptp.c1_1 V) tptp.hskp23)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c1_1 V) tptp.hskp25)) (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.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.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 V) tptp.hskp30)) (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.c3_1 V)) (tptp.c2_1 V) tptp.hskp19)) _let_9 _let_8 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 W)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c2_1 W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (not (tptp.c3_1 W)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c2_1 W))) _let_7 _let_6 _let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (not (tptp.c3_1 W)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c2_1 W))) _let_4 _let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c2_1 W)) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c1_1 W))) _let_2 _let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c3_1 W)) (tptp.c3_1 V) (tptp.c1_1 W) (tptp.c2_1 W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (not (tptp.c0_1 W)) (tptp.c1_1 W) (tptp.c3_1 W)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.73 )
% 0.20/0.73 % SZS output end Proof for SYN509-1
% 0.20/0.73 % cvc5---1.0.5 exiting
% 0.20/0.74 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------