TSTP Solution File: SYN510-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN510-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 0.21s 0.63s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN510-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 17:28:12 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.3KATdg4TpM/cvc5---1.0.5_26927.p...
% 0.21/0.52 ------- get file name : TPTP file name is SYN510-1
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26927.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.63 % SZS status Unsatisfiable for SYN510-1
% 0.21/0.63 % SZS output start Proof for SYN510-1
% 0.21/0.65 (
% 0.21/0.65 (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (not (tptp.c0_1 W)) (not (tptp.c3_1 W)) (tptp.c3_1 U) (tptp.c2_1 V) (tptp.c1_1 W))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c2_1 W)) (not (tptp.c3_1 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c0_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_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.c1_1 V)) (not (tptp.c3_1 V)) tptp.hskp14)))) (let ((_let_6 (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.c2_1 V)) (tptp.c1_1 V) tptp.hskp23)))) (let ((_let_7 (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.c1_1 V) (tptp.c3_1 V) tptp.hskp13)))) (let ((_let_8 (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.hskp31)))) (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.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) tptp.hskp6)))) (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.c1_1 V)) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp11)))) (let ((_let_11 (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.hskp1)))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_13 (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.c2_1 V) tptp.hskp2)))) (let ((_let_14 (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.c2_1 V) (tptp.c3_1 V) tptp.hskp6)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp4)))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp3)))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp0)))) (let ((_let_18 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp10 tptp.hskp14)))) (let ((_let_19 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp26 tptp.hskp4)))) (let ((_let_20 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp5 tptp.hskp4)))) (let ((_let_21 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp3 tptp.hskp6)))) (let ((_let_22 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp3 tptp.hskp6)))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp21 tptp.hskp22)))) (let ((_let_24 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp29 tptp.hskp21)))) (let ((_let_25 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp19 tptp.hskp9)))) (let ((_let_26 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp29 tptp.hskp11)))) (let ((_let_27 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp3 tptp.hskp16)))) (let ((_let_28 (not tptp.hskp0))) (let ((_let_29 (tptp.c3_1 tptp.a536))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28))) (let ((_let_32 (not tptp.hskp1))) (let ((_let_33 (tptp.c3_1 tptp.a537))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32))) (let ((_let_36 (tptp.c1_1 tptp.a537))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_32))) (let ((_let_39 (not tptp.hskp2))) (let ((_let_40 (tptp.c3_1 tptp.a538))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_39))) (let ((_let_43 (tptp.c1_1 tptp.a538))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_39))) (let ((_let_46 (not tptp.hskp3))) (let ((_let_47 (tptp.c3_1 tptp.a539))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_46))) (let ((_let_50 (tptp.c2_1 tptp.a539))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_46))) (let ((_let_53 (not tptp.hskp4))) (let ((_let_54 (tptp.c2_1 tptp.a540))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_53))) (let ((_let_57 (tptp.c1_1 tptp.a540))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_53))) (let ((_let_60 (not tptp.hskp5))) (let ((_let_61 (tptp.c3_1 tptp.a544))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_60))) (let ((_let_64 (not tptp.hskp6))) (let ((_let_65 (tptp.c1_1 tptp.a546))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_64))) (let ((_let_68 (tptp.c0_1 tptp.a546))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_64))) (let ((_let_71 (not tptp.hskp7))) (let ((_let_72 (tptp.c3_1 tptp.a547))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_71))) (let ((_let_75 (tptp.c0_1 tptp.a547))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_71))) (let ((_let_78 (not tptp.hskp8))) (let ((_let_79 (not tptp.hskp9))) (let ((_let_80 (tptp.c2_1 tptp.a549))) (let ((_let_81 (not _let_80))) (let ((_let_82 (or _let_81 _let_79))) (let ((_let_83 (tptp.c1_1 tptp.a549))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_84 _let_79))) (let ((_let_86 (tptp.c0_1 tptp.a549))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_79))) (let ((_let_89 (not tptp.hskp10))) (let ((_let_90 (tptp.c0_1 tptp.a551))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_91 _let_89))) (let ((_let_93 (not tptp.hskp11))) (let ((_let_94 (tptp.c2_1 tptp.a553))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_95 _let_93))) (let ((_let_97 (not tptp.hskp12))) (let ((_let_98 (tptp.c1_1 tptp.a564))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_97))) (let ((_let_101 (not tptp.hskp13))) (let ((_let_102 (tptp.c2_1 tptp.a565))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_101))) (let ((_let_105 (not tptp.hskp14))) (let ((_let_106 (tptp.c0_1 tptp.a566))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_107 _let_105))) (let ((_let_109 (not tptp.hskp15))) (let ((_let_110 (tptp.c2_1 tptp.a567))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_111 _let_109))) (let ((_let_113 (not tptp.hskp16))) (let ((_let_114 (tptp.c3_1 tptp.a570))) (let ((_let_115 (not _let_114))) (let ((_let_116 (or _let_115 _let_113))) (let ((_let_117 (tptp.c2_1 tptp.a570))) (let ((_let_118 (not _let_117))) (let ((_let_119 (or _let_118 _let_113))) (let ((_let_120 (not tptp.hskp17))) (let ((_let_121 (not tptp.hskp18))) (let ((_let_122 (not tptp.hskp19))) (let ((_let_123 (tptp.c3_1 tptp.a576))) (let ((_let_124 (not _let_123))) (let ((_let_125 (or _let_124 _let_122))) (let ((_let_126 (tptp.c1_1 tptp.a576))) (let ((_let_127 (not _let_126))) (let ((_let_128 (or _let_127 _let_122))) (let ((_let_129 (not tptp.hskp20))) (let ((_let_130 (not tptp.hskp21))) (let ((_let_131 (tptp.c1_1 tptp.a582))) (let ((_let_132 (not _let_131))) (let ((_let_133 (or _let_132 _let_130))) (let ((_let_134 (not tptp.hskp22))) (let ((_let_135 (tptp.c2_1 tptp.a584))) (let ((_let_136 (not _let_135))) (let ((_let_137 (or _let_136 _let_134))) (let ((_let_138 (tptp.c0_1 tptp.a584))) (let ((_let_139 (not _let_138))) (let ((_let_140 (or _let_139 _let_134))) (let ((_let_141 (not tptp.hskp23))) (let ((_let_142 (tptp.c3_1 tptp.a587))) (let ((_let_143 (not _let_142))) (let ((_let_144 (or _let_143 _let_141))) (let ((_let_145 (tptp.c2_1 tptp.a587))) (let ((_let_146 (not _let_145))) (let ((_let_147 (or _let_146 _let_141))) (let ((_let_148 (tptp.c0_1 tptp.a587))) (let ((_let_149 (not _let_148))) (let ((_let_150 (or _let_149 _let_141))) (let ((_let_151 (not tptp.hskp24))) (let ((_let_152 (tptp.c2_1 tptp.a590))) (let ((_let_153 (not _let_152))) (let ((_let_154 (or _let_153 _let_151))) (let ((_let_155 (tptp.c0_1 tptp.a590))) (let ((_let_156 (not _let_155))) (let ((_let_157 (or _let_156 _let_151))) (let ((_let_158 (not tptp.hskp25))) (let ((_let_159 (not tptp.hskp26))) (let ((_let_160 (tptp.c3_1 tptp.a604))) (let ((_let_161 (not _let_160))) (let ((_let_162 (or _let_161 _let_159))) (let ((_let_163 (not tptp.hskp27))) (let ((_let_164 (tptp.c2_1 tptp.a536))) (let ((_let_165 (or _let_28 _let_164))) (let ((_let_166 (tptp.c0_1 tptp.a536))) (let ((_let_167 (or _let_28 _let_166))) (let ((_let_168 (tptp.c2_1 tptp.a537))) (let ((_let_169 (or _let_32 _let_168))) (let ((_let_170 (tptp.c0_1 tptp.a539))) (let ((_let_171 (or _let_46 _let_170))) (let ((_let_172 (tptp.c3_1 tptp.a540))) (let ((_let_173 (or _let_53 _let_172))) (let ((_let_174 (tptp.c1_1 tptp.a544))) (let ((_let_175 (or _let_60 _let_174))) (let ((_let_176 (tptp.c0_1 tptp.a544))) (let ((_let_177 (or _let_60 _let_176))) (let ((_let_178 (tptp.c3_1 tptp.a546))) (let ((_let_179 (or _let_64 _let_178))) (let ((_let_180 (tptp.c2_1 tptp.a547))) (let ((_let_181 (or _let_71 _let_180))) (let ((_let_182 (tptp.c3_1 tptp.a551))) (let ((_let_183 (or _let_89 _let_182))) (let ((_let_184 (tptp.c1_1 tptp.a551))) (let ((_let_185 (or _let_89 _let_184))) (let ((_let_186 (tptp.c3_1 tptp.a553))) (let ((_let_187 (or _let_93 _let_186))) (let ((_let_188 (tptp.c1_1 tptp.a553))) (let ((_let_189 (or _let_93 _let_188))) (let ((_let_190 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(_let_555 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_555 1)) (CONG _let_569 (MACRO_SR_PRED_INTRO :args ((= (not _let_553) _let_552))) :args _let_301)) :args ((or _let_552 _let_555))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_555 0)) (CONG _let_569 (MACRO_SR_PRED_INTRO :args ((= (not _let_358) _let_357))) :args _let_301)) :args ((or _let_357 _let_555))) :args ((or _let_555 _let_568 _let_547) false _let_355 true _let_354 false _let_552 false _let_357)) _let_567 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_564 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_563)) :args _let_562)) _let_565 :args ((or tptp.hskp14 _let_43 _let_40 _let_335 _let_457 _let_561 _let_548 _let_547) false tptp.ndr1_0 true tptp.hskp3 true _let_544 false _let_545 true _let_543 false _let_273 true _let_560 false _let_272 false tptp.ndr1_0 false _let_559 true _let_271 false _let_263 true _let_270 false _let_454 false tptp.ndr1_0 true _let_556 true tptp.hskp13 false _let_350 false _let_449 false _let_237 false _let_240 false _let_242 false _let_446 false tptp.hskp31 false _let_555 true tptp.hskp12 false _let_554 false _let_551)) (REORDERING (ASSUME :args (_let_42)) :args ((or _let_39 _let_41))) (REORDERING (ASSUME :args (_let_45)) :args ((or _let_39 _let_44))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp2 _let_415 _let_538 _let_334))) _let_402 _let_484 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_295 (= U U)))) _let_414 :args ((or tptp.hskp14 _let_308 _let_295 _let_335 _let_334 _let_548 _let_261 _let_547 _let_546 _let_340 _let_338 _let_337) false _let_273 true _let_545 false _let_272 false tptp.ndr1_0 false tptp.hskp3 false tptp.ndr1_0 true _let_271 true _let_544 true _let_270 true _let_543 true _let_383 true _let_542 false tptp.hskp29 false tptp.ndr1_0 true _let_444 true tptp.hskp11 false _let_541 false _let_379 false _let_540 false _let_376 false (forall ((U $$unsorted)) (or 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_let_281))))) (let ((_let_637 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_295 (= U U)))))) (let ((_let_638 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_299)) :args ((or _let_298 _let_297 _let_296 (not _let_299)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (tptp.a541 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_433)) :args _let_432)) (ASSUME :args (_let_224)) (ASSUME :args (_let_226)) (ASSUME :args (_let_228)) _let_637 _let_401 _let_636 _let_402 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_293)) :args ((or _let_110 _let_292 _let_291 _let_635))) (REORDERING (ASSUME :args (_let_112)) :args ((or _let_109 _let_111))) (ASSUME :args (_let_203)) (ASSUME :args (_let_205)) :args ((or _let_109 _let_635) true _let_110 false _let_202 false _let_204)) _let_634 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_536 :args (tptp.a567 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_535)) :args _let_534)) _let_632 _let_533 _let_630 _let_531 _let_629 _let_402 _let_628 _let_624 _let_620 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_470 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_469)) :args _let_468)) _let_622 (REORDERING (CNF_OR_POS :args (_let_277)) :args ((or _let_268 _let_266 _let_276 (not _let_277)))) _let_623 _let_621 _let_505 _let_504 _let_402 _let_503 (MACRO_RESOLUTION_TRUST _let_623 _let_622 _let_621 _let_620 _let_618 _let_402 _let_530 _let_402 _let_529 _let_516 _let_514 _let_513 :args ((or tptp.hskp22 (not _let_270) _let_268 _let_266 _let_265) true _let_274 false _let_275 false _let_278 false _let_273 false tptp.ndr1_0 false _let_280 false tptp.ndr1_0 true tptp.hskp21 true tptp.hskp29 false _let_494 false _let_383)) (MACRO_RESOLUTION_TRUST _let_591 _let_590 _let_402 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_594 :args (tptp.a584 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_593)) :args _let_592)) _let_414 (REORDERING (CNF_OR_POS :args (_let_310)) :args ((or _let_138 _let_135 _let_309 (not _let_310)))) _let_617 _let_616 _let_615 _let_318 _let_316 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(_let_648))) (let ((_let_675 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_674) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) true))))) :args _let_674)))) (let ((_let_676 (not _let_649))) (let ((_let_677 (or _let_676 _let_653 _let_651))) (let ((_let_678 (not _let_652))) (let ((_let_679 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_652)) :args ((or _let_651 _let_650 _let_649 _let_678))) (REORDERING (CNF_OR_POS :args (_let_677)) :args ((or _let_653 _let_651 _let_676 (not _let_677)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_528 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) true))))) :args _let_526)) _let_614 :args (_let_677 false _let_319)) (CNF_OR_NEG :args (_let_654 2)) (CNF_OR_NEG :args (_let_654 1)) (CNF_OR_NEG :args (_let_654 0)) :args ((or _let_654 _let_678) true _let_649 false _let_677 true _let_650 true _let_651 true _let_653)))) 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(not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (tptp.c2_1 U))))) (let ((_let_698 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)))))) (let ((_let_699 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (tptp.c0_1 V) (tptp.c3_1 V))))) (let ((_let_700 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c0_1 U) (tptp.c3_1 U))))) (let ((_let_701 (or _let_685 _let_155 _let_683))) (let ((_let_702 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (tptp.a540 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_412)) :args _let_411)))) (let ((_let_703 (not _let_689))) (let ((_let_704 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_689)) :args ((or _let_57 _let_54 _let_688 _let_703))) (REORDERING (ASSUME :args (_let_56)) :args ((or _let_53 _let_55))) (REORDERING (ASSUME :args (_let_59)) :args ((or _let_53 _let_58))) (ASSUME :args (_let_173)) :args ((or _let_53 _let_703) true _let_54 true _let_57 false _let_172)))) (let ((_let_705 (not _let_218))) (let ((_let_706 (not _let_220))) (let ((_let_707 (or _let_706 _let_705 _let_160))) (let ((_let_708 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_709 (or _let_695 _let_690 _let_708))) (let ((_let_710 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (tptp.c3_1 U))))) (let ((_let_711 (or _let_695 _let_693 _let_708))) (let ((_let_712 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (tptp.c3_1 U))))) (let ((_let_713 (not _let_174))) (let ((_let_714 (not _let_176))) (let ((_let_715 (or _let_714 _let_713 _let_61))) (let ((_let_716 (not _let_696))) (let ((_let_717 (_let_710))) (let ((_let_718 (not _let_709))) (let ((_let_719 (REFL :args (_let_711)))) (let ((_let_720 (not _let_712))) (let ((_let_721 (_let_720))) (let ((_let_722 (_let_712))) (let ((_let_723 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_715)) :args ((or _let_61 _let_714 _let_713 (not _let_715)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_722) :args (tptp.a544 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(REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_711 0)) (CONG _let_719 (MACRO_SR_PRED_INTRO :args ((= (not _let_695) _let_694))) :args _let_301)) :args ((or _let_694 _let_711))) :args ((or _let_711 _let_718 _let_716) false _let_690 true _let_708 false _let_692 false _let_694)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_717) :args (tptp.a604 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_717)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_508 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_507)) :args _let_506)) (REORDERING (CNF_OR_POS :args (_let_707)) :args ((or _let_160 _let_706 _let_705 (not _let_707)))) _let_505 (REORDERING (ASSUME :args (_let_162)) :args ((or _let_159 _let_161))) (ASSUME :args (_let_219)) (ASSUME :args (_let_221)) _let_504 _let_402 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp26 tptp.hskp4 _let_415 _let_270))) _let_402 _let_503 :args ((or tptp.hskp4 _let_270 _let_716) false _let_715 true _let_61 false _let_174 false _let_176 false _let_712 false tptp.hskp5 false tptp.ndr1_0 false _let_711 true _let_710 false _let_709 true _let_707 false _let_273 true _let_160 false _let_218 false _let_220 false _let_272 false tptp.ndr1_0 false tptp.hskp26 false tptp.ndr1_0 true _let_271)))) (let ((_let_724 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_433)) :args _let_432)))) (let ((_let_725 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_295 (= U U)))))) (let ((_let_726 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp11 _let_415 _let_698 _let_699))))) (let ((_let_727 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_700 (= U V)))))) (let ((_let_728 (_let_700))) (let ((_let_729 (ASSUME :args _let_728))) (let ((_let_730 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_686)) :args ((or _let_152 _let_685 _let_684 (not _let_686)))) (REORDERING (CNF_OR_POS :args (_let_701)) :args ((or _let_155 _let_685 _let_683 (not _let_701)))) (REORDERING (ASSUME :args (_let_154)) :args ((or _let_151 _let_153))) (REORDERING (ASSUME :args (_let_157)) :args ((or _let_151 _let_156))) (ASSUME :args (_let_217)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_729 :args (tptp.a590 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_728)) (REORDERING (ASSUME :args (_let_245)) :args ((or tptp.hskp24 tptp.hskp13 tptp.hskp6))) _let_628 _let_727 _let_467 _let_726 _let_402 _let_464 _let_725 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_446 (= U U)))) _let_724 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp4 _let_415 _let_697 _let_687))) _let_402 _let_723 _let_704 _let_702 _let_416 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_543 (= U V)))) (MACRO_RESOLUTION_TRUST _let_530 _let_402 _let_529 _let_516 _let_514 _let_513 _let_503 _let_504 _let_402 _let_505 _let_579 _let_585 _let_586 _let_402 _let_580 _let_613 _let_612 _let_610 _let_441 _let_440 _let_439 _let_438 :args ((or _let_280 _let_335 _let_608) false tptp.ndr1_0 true tptp.hskp21 true tptp.hskp29 false _let_494 false _let_383 false _let_270 false _let_271 false tptp.ndr1_0 true _let_272 true _let_273 true _let_545 false tptp.hskp3 false tptp.ndr1_0 true _let_544 true _let_543 true _let_542 true _let_444 true _let_337 true _let_338 false _let_339 true _let_341)) _let_613 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_541 0)) (CONG (REFL :args _let_609) (MACRO_SR_PRED_INTRO :args ((= (not _let_450) _let_444))) :args _let_301)) :args ((or _let_444 _let_541))) _let_612 _let_465 (MACRO_RESOLUTION_TRUST _let_474 _let_638 :args (_let_452 false _let_263)) _let_441 _let_440 _let_438 _let_607 _let_604 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_603 :args (tptp.a590 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_602)) :args _let_601)) _let_658 _let_628 _let_585 _let_579 _let_505 _let_504 _let_402 _let_503 :args ((or _let_280 _let_270) false _let_683 true _let_152 true _let_155 false _let_216 false _let_701 false tptp.hskp24 true tptp.hskp6 false _let_700 true tptp.hskp13 false _let_699 false tptp.ndr1_0 false _let_449 true _let_698 false _let_446 true _let_295 false _let_697 false tptp.ndr1_0 true _let_696 true tptp.hskp4 false _let_689 false _let_333 true _let_687 false _let_335 true _let_543 false _let_541 true _let_542 true _let_444 false _let_452 true _let_337 true _let_338 true _let_341 true tptp.hskp11 false _let_379 false _let_686 false _let_376 true tptp.hskp6 true tptp.hskp3 false _let_545 false _let_273 false _let_272 false tptp.ndr1_0 true _let_271)))) (let ((_let_731 (not _let_671))) (let ((_let_732 (not _let_668))) (let ((_let_733 (tptp.c1_1 tptp.a547))) (let ((_let_734 (not _let_180))) (let ((_let_735 (or _let_734 _let_733 _let_72))) (let ((_let_736 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_737 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_738 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_739 (not _let_738))) (let ((_let_740 (or _let_739 _let_737 _let_736))) (let ((_let_741 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_742 (not _let_741))) (let ((_let_743 (or _let_742 _let_737 _let_738))) (let ((_let_744 (or _let_742 _let_737 _let_736))) (let ((_let_745 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (tptp.c1_1 U) (tptp.c2_1 U))))) (let ((_let_746 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_747 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_748 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_749 (not _let_748))) (let ((_let_750 (or _let_749 _let_747 _let_746))) (let ((_let_751 (not _let_746))) (let ((_let_752 (or _let_749 _let_751 _let_747))) (let ((_let_753 (not _let_733))) (let ((_let_754 (or _let_753 _let_75 _let_72))) (let ((_let_755 (or _let_749 (not (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35)) _let_747))) (let ((_let_756 (not _let_740))) (let ((_let_757 (not _let_743))) (let ((_let_758 (not _let_745))) (let ((_let_759 (_let_758))) (let ((_let_760 (_let_745))) (let ((_let_761 (not _let_735))) (let ((_let_762 (not _let_754))) (let ((_let_763 (_let_561))) (let ((_let_764 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_669)) :args ((or _let_86 _let_83 _let_80 (not _let_669)))) (REORDERING (ASSUME :args (_let_82)) :args ((or _let_79 _let_81))) (REORDERING (ASSUME :args (_let_85)) :args ((or _let_79 _let_84))) (REORDERING (ASSUME :args (_let_88)) :args ((or _let_79 _let_87))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp19 tptp.hskp9 _let_415 _let_333))) _let_402 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_752)) :args ((or _let_749 _let_747 _let_751 (not _let_752)))) (REORDERING (CNF_OR_POS :args (_let_750)) :args ((or _let_749 _let_747 _let_746 (not _let_750)))) (CNF_OR_NEG :args (_let_755 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_755 0)) (CONG (REFL :args (_let_755)) (MACRO_SR_PRED_INTRO :args ((= (not _let_749) _let_748))) :args _let_301)) :args ((or _let_748 _let_755))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_763)) :args _let_763)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_561) _let_539))) (REFL :args ((not _let_755))) :args _let_301)) _let_565 _let_567 (ASSUME :args (_let_246)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_754)) :args ((or _let_75 _let_72 _let_753 _let_762))) (REORDERING (CNF_OR_POS :args (_let_735)) :args ((or _let_72 _let_734 _let_733 _let_761))) (REORDERING (ASSUME :args (_let_74)) :args ((or _let_71 _let_73))) (REORDERING (ASSUME :args (_let_77)) :args ((or _let_71 _let_76))) (ASSUME :args (_let_181)) :args ((or _let_71 _let_762 _let_761) false _let_733 true _let_72 true _let_75 false _let_180)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_729 :args (tptp.a547 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) true))))) :args _let_728)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_470 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_469)) :args _let_468)) _let_727 (MACRO_RESOLUTION_TRUST _let_632 _let_634 _let_630 _let_636 _let_402 _let_629 _let_402 _let_628 _let_624 :args ((or _let_279 _let_294) true _let_290 false _let_289 false tptp.hskp23 false tptp.ndr1_0 false _let_282 false tptp.ndr1_0 true tptp.hskp6 true _let_281)) _let_726 _let_402 _let_637 _let_725 _let_724 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_760) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_760)) _let_723 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_759)) :args _let_759)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_758) _let_745))) (REFL :args ((not _let_744))) :args _let_301)) _let_704 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_740)) :args ((or _let_737 _let_736 _let_739 _let_756))) (REORDERING (CNF_OR_POS :args (_let_743)) :args ((or _let_742 _let_737 _let_738 _let_757))) (CNF_OR_NEG :args (_let_744 2)) (CNF_OR_NEG :args (_let_744 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_744 0)) (CONG (REFL :args (_let_744)) (MACRO_SR_PRED_INTRO :args ((= (not _let_742) _let_741))) :args _let_301)) :args ((or _let_741 _let_744))) :args ((or _let_744 _let_757 _let_756) false _let_738 true _let_736 true _let_737 false _let_741)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_473 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_472)) :args _let_471)) _let_638 :args (_let_743 false _let_263)) _let_702 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_412)) :args _let_411)) _let_607 _let_604 _let_658 _let_628 _let_585 _let_579 _let_505 _let_504 _let_402 _let_503 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_427 :args (tptp.a547 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_426)) :args _let_425)) _let_730 :args ((or _let_270 (not _let_333)) false _let_746 true _let_747 false _let_748 true _let_755 true _let_539 true _let_551 false tptp.hskp12 true tptp.hskp7 false _let_754 false _let_752 false _let_700 false _let_279 false _let_699 false tptp.ndr1_0 true _let_294 true _let_698 true _let_295 false _let_750 true _let_696 false _let_745 true tptp.hskp4 false _let_744 false _let_743 false _let_689 false _let_740 true tptp.hskp11 false _let_379 false _let_376 true tptp.hskp6 true tptp.hskp3 false _let_545 false _let_273 false _let_272 false tptp.ndr1_0 true _let_271 false _let_735 false _let_280)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_671)) :args ((or _let_126 _let_123 _let_670 _let_731))) (REORDERING (CNF_OR_POS :args (_let_668)) :args ((or _let_123 _let_667 _let_666 _let_732))) (REORDERING (ASSUME :args (_let_125)) :args ((or _let_122 _let_124))) (REORDERING (ASSUME :args (_let_128)) :args ((or _let_122 _let_127))) (ASSUME :args (_let_209)) :args ((or _let_122 _let_732 _let_731) false _let_666 true _let_123 true _let_126 false _let_208)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_427 :args (tptp.a576 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_619)) :args _let_425)) _let_730 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_410 :args (tptp.a549 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_409)) :args _let_408)) _let_682 _let_679 _let_675 _let_673 _let_672 _let_402 _let_665 _let_663 _let_659 _let_402 _let_628 _let_585 _let_579 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_508 :args (tptp.a576 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_507)) :args _let_506)) _let_505 _let_504 _let_402 _let_503 :args (_let_270 true _let_80 true _let_83 true _let_86 false tptp.hskp9 false tptp.ndr1_0 true _let_333 true tptp.hskp19 false _let_671 false _let_280 false _let_669 false _let_332 false _let_654 false _let_652 false _let_648 false _let_647 false tptp.ndr1_0 true tptp.hskp16 false _let_641 false _let_639 false tptp.ndr1_0 true tptp.hskp6 true tptp.hskp3 false _let_545 false _let_668 false _let_273 false _let_272 false tptp.ndr1_0 true _let_271)))) (let ((_let_765 (MACRO_RESOLUTION_TRUST _let_529 (MACRO_RESOLUTION_TRUST _let_514 _let_764 :args (_let_494 false _let_270)) :args (_let_130 false _let_494)))) (let ((_let_766 (not _let_289))) (let ((_let_767 (_let_766))) (let ((_let_768 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_646)) :args ((or _let_643 _let_642 _let_645 (not _let_646)))) (REORDERING (CNF_OR_POS :args (_let_656)) :args ((or _let_655 _let_643 _let_644 (not _let_656)))) (CNF_OR_NEG :args (_let_657 2)) (CNF_OR_NEG :args (_let_657 1)) (CNF_OR_NEG :args (_let_657 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_767)) :args _let_767)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_766) _let_289))) (REFL :args ((not _let_657))) :args _let_301)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_410 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_409)) :args _let_408)) _let_632 _let_682 _let_634 _let_679 (REORDERING (ASSUME :args (_let_244)) :args ((or tptp.hskp23 tptp.hskp22 tptp.hskp21))) _let_765 _let_675 _let_318 _let_673 _let_617 _let_672 _let_402 _let_611 _let_402 (MACRO_RESOLUTION_TRUST _let_516 (MACRO_RESOLUTION_TRUST _let_513 _let_764 :args (_let_383 false _let_270)) :args (_let_230 false _let_383)) _let_665 _let_607 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_662 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_661)) :args _let_660)) _let_663 _let_604 _let_659 _let_402 _let_628 _let_658 _let_402 _let_628 :args (tptp.hskp3 false _let_644 true _let_642 true _let_643 true _let_655 true _let_657 false _let_656 true _let_289 false _let_332 true _let_290 false _let_654 false tptp.hskp23 true tptp.hskp21 false _let_652 true tptp.hskp22 false _let_648 false _let_305 false _let_647 false tptp.ndr1_0 false _let_308 false tptp.ndr1_0 true tptp.hskp29 true tptp.hskp16 true tptp.hskp11 false _let_646 false _let_641 false _let_379 false _let_639 false tptp.ndr1_0 true tptp.hskp6 false _let_376 false tptp.ndr1_0 true tptp.hskp6)))) (let ((_let_769 (MACRO_RESOLUTION_TRUST _let_582 _let_768 :args (_let_170 false tptp.hskp3)))) (let ((_let_770 (or _let_309 _let_304 _let_138))) (let ((_let_771 (not _let_770))) (let ((_let_772 (MACRO_RESOLUTION_TRUST _let_618 _let_765 _let_402 (MACRO_RESOLUTION_TRUST _let_579 (MACRO_RESOLUTION_TRUST _let_585 _let_768 :args (_let_581 false tptp.hskp3)) :args ((not _let_273) true _let_545)) :args (tptp.hskp22 true tptp.hskp21 false tptp.ndr1_0 true _let_273)))) (let ((_let_773 (MACRO_RESOLUTION_TRUST _let_314 _let_772 :args (_let_214 false tptp.hskp22)))) (let ((_let_774 (MACRO_RESOLUTION_TRUST _let_315 _let_772 :args (_let_139 false tptp.hskp22)))) (let ((_let_775 (_let_253))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_253 (= U V)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_775) :args (tptp.a584 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_775)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_770)) :args ((or _let_138 _let_304 _let_309 _let_771))) _let_774 _let_773 (MACRO_RESOLUTION_TRUST _let_616 _let_774 _let_773 _let_615 :args (_let_306 true _let_138 false _let_214 false _let_307)) :args (_let_771 true _let_138 false _let_214 false _let_306)) :args ((not _let_253) true _let_770)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp6 _let_415 _let_254 _let_252))) _let_628 _let_402 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_255 (= U U)))) (MACRO_RESOLUTION_TRUST _let_537 (MACRO_RESOLUTION_TRUST _let_588 (MACRO_RESOLUTION_TRUST _let_583 _let_768 :args (_let_51 false tptp.hskp3)) _let_769 (MACRO_RESOLUTION_TRUST _let_589 (MACRO_RESOLUTION_TRUST _let_584 _let_768 :args (_let_48 false tptp.hskp3)) _let_769 (MACRO_RESOLUTION_TRUST _let_587 _let_638 :args (_let_262 false _let_263)) :args (_let_256 true _let_47 false _let_170 false _let_262)) :args (_let_261 true _let_50 false _let_170 false _let_256)) :args (_let_260 true _let_259)) :args ((not _let_254) true _let_255)) :args (_let_252 true tptp.hskp6 false tptp.ndr1_0 true _let_254)) :args (false true _let_253 false _let_252)) :args ((or _let_238 tptp.ndr1_0) (or _let_236 tptp.ndr1_0) (or _let_230 tptp.ndr1_0) _let_251 (or _let_163 tptp.ndr1_0) (or _let_159 tptp.ndr1_0) (or _let_158 tptp.ndr1_0) (or _let_151 tptp.ndr1_0) _let_250 (or _let_134 tptp.ndr1_0) (or _let_130 tptp.ndr1_0) (or _let_129 tptp.ndr1_0) (or _let_122 tptp.ndr1_0) (or _let_121 tptp.ndr1_0) (or _let_120 tptp.ndr1_0) (or _let_113 tptp.ndr1_0) _let_249 (or _let_105 tptp.ndr1_0) (or _let_101 tptp.ndr1_0) (or _let_97 tptp.ndr1_0) (or _let_93 tptp.ndr1_0) (or _let_89 tptp.ndr1_0) (or _let_79 tptp.ndr1_0) (or _let_78 tptp.ndr1_0) (or _let_71 tptp.ndr1_0) (or _let_64 tptp.ndr1_0) (or _let_60 tptp.ndr1_0) (or _let_53 tptp.ndr1_0) (or _let_46 tptp.ndr1_0) (or _let_39 tptp.ndr1_0) (or _let_32 tptp.ndr1_0) (or _let_28 tptp.ndr1_0) _let_248 _let_247 (or tptp.hskp31 tptp.hskp10 tptp.hskp16) (or tptp.hskp31 tptp.hskp20 tptp.hskp22) (or tptp.hskp5 tptp.hskp27 tptp.hskp25) (or tptp.hskp5 tptp.hskp10 tptp.hskp14) _let_246 _let_245 (or tptp.hskp13 tptp.hskp14 tptp.hskp6) (or tptp.hskp13 tptp.hskp25 tptp.hskp22) (or tptp.hskp3 tptp.hskp24 tptp.hskp18) (or tptp.hskp26 tptp.hskp7 tptp.hskp22) (or tptp.hskp26 tptp.hskp6 tptp.hskp2) (or tptp.hskp24 tptp.hskp9 tptp.hskp2) _let_244 _let_243 _let_241 _let_239 (or _let_236 (tptp.c1_1 tptp.a562)) (or _let_236 (tptp.c2_1 tptp.a562)) (or _let_236 (tptp.c3_1 tptp.a562)) _let_235 _let_233 _let_231 _let_228 _let_226 _let_224 (or _let_163 (tptp.c0_1 tptp.a615)) (or _let_163 (tptp.c2_1 tptp.a615)) _let_221 _let_219 (or _let_158 (tptp.c2_1 tptp.a594)) _let_217 _let_215 _let_213 _let_211 (or _let_129 (tptp.c1_1 tptp.a580)) _let_209 (or _let_120 (tptp.c0_1 tptp.a571)) _let_207 _let_205 _let_203 _let_201 _let_199 _let_197 _let_195 _let_193 _let_191 _let_189 _let_187 _let_185 _let_183 (or _let_78 (tptp.c1_1 tptp.a548)) (or _let_78 (tptp.c2_1 tptp.a548)) _let_181 _let_179 _let_177 _let_175 _let_173 _let_171 _let_169 _let_167 _let_165 (or (not (tptp.c1_1 tptp.a615)) _let_163) _let_162 (or (not (tptp.c0_1 tptp.a594)) _let_158) (or (not (tptp.c1_1 tptp.a594)) _let_158) _let_157 _let_154 _let_150 _let_147 _let_144 _let_140 _let_137 _let_133 (or (not (tptp.c0_1 tptp.a580)) _let_129) (or (not (tptp.c3_1 tptp.a580)) _let_129) _let_128 _let_125 (or (not (tptp.c0_1 tptp.a573)) _let_121) (or (not (tptp.c1_1 tptp.a573)) _let_121) (or (not (tptp.c3_1 tptp.a573)) _let_121) (or (not (tptp.c1_1 tptp.a571)) _let_120) (or (not (tptp.c2_1 tptp.a571)) _let_120) _let_119 _let_116 _let_112 _let_108 _let_104 _let_100 _let_96 _let_92 _let_88 _let_85 _let_82 (or (not (tptp.c0_1 tptp.a548)) _let_78) _let_77 _let_74 _let_70 _let_67 _let_63 _let_59 _let_56 _let_52 _let_49 _let_45 (or (not (tptp.c2_1 tptp.a538)) _let_39) _let_42 _let_38 _let_35 _let_31 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp28 tptp.hskp2)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp8 tptp.hskp9)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp15 tptp.hskp2)) _let_27 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp5 tptp.hskp2)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp8 tptp.hskp10)) _let_26 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp11 tptp.hskp9)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp12 tptp.hskp11)) _let_25 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp13 tptp.hskp20)) _let_24 _let_23 _let_22 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp25 tptp.hskp4)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp10 tptp.hskp9)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp0 tptp.hskp30)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp13 tptp.hskp14)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp15 tptp.hskp0)) _let_21 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp12 tptp.hskp21)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp30 tptp.hskp7)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp26 tptp.hskp24)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp14 tptp.hskp21)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp25 tptp.hskp9)) _let_20 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) tptp.hskp26 tptp.hskp14)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp27 tptp.hskp26)) _let_19 _let_18 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp20 tptp.hskp14)) _let_17 _let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp1)) _let_15 _let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_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.hskp7)) _let_13 (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.c2_1 V) tptp.hskp17)) (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.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp12)) (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)) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp18)) (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.hskp22)) _let_12 _let_11 _let_10 (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.hskp0)) _let_9 _let_8 _let_7 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c1_1 V) tptp.hskp19)) (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.c2_1 U) (tptp.c1_1 V) tptp.hskp7)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c1_1 V) tptp.hskp3)) (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.c2_1 V) (tptp.c3_1 V) tptp.hskp24)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp14)) (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.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V) tptp.hskp12)) _let_6 _let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c3_1 W))) _let_4 _let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c2_1 W) (tptp.c3_1 W))) _let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c2_1 W))) _let_1 (forall ((U $$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.c1_1 V)) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (tptp.c0_1 W) (tptp.c3_1 W)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.65 )
% 0.21/0.65 % SZS output end Proof for SYN510-1
% 0.21/0.66 % cvc5---1.0.5 exiting
% 0.21/0.66 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------