TSTP Solution File: SYN502-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN502-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 02:03:43 EDT 2023
% Result : Unsatisfiable 0.21s 0.72s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN502-1 : TPTP v8.1.2. Released v2.1.0.
% 0.14/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 18:30:32 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.fShsQBs1s3/cvc5---1.0.5_22174.p...
% 0.21/0.54 ------- get file name : TPTP file name is SYN502-1
% 0.21/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22174.smt2...
% 0.21/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.72 % SZS status Unsatisfiable for SYN502-1
% 0.21/0.72 % SZS output start Proof for SYN502-1
% 0.21/0.74 (
% 0.21/0.74 (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (not (tptp.c0_1 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c1_1 W) (tptp.c3_1 W))))) (let ((_let_2 (forall ((U $$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.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 W)) (tptp.c3_1 U) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c1_1 W) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp25)))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp11)))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp16)))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp15)))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp3)))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp18)))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp2)))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp20)))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp11)))) (let ((_let_15 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp24 tptp.hskp27)))) (let ((_let_16 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp4)))) (let ((_let_17 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp12 tptp.hskp3)))) (let ((_let_18 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp10 tptp.hskp5)))) (let ((_let_19 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp23 tptp.hskp24)))) (let ((_let_20 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp31 tptp.hskp4)))) (let ((_let_21 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp19 tptp.hskp16)))) (let ((_let_22 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp31 tptp.hskp14)))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp12 tptp.hskp13)))) (let ((_let_24 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp30 tptp.hskp9)))) (let ((_let_25 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp10)))) (let ((_let_26 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp31)))) (let ((_let_27 (not tptp.hskp0))) (let ((_let_28 (not tptp.hskp1))) (let ((_let_29 (not tptp.hskp2))) (let ((_let_30 (tptp.c0_1 tptp.a236))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_29))) (let ((_let_33 (not tptp.hskp3))) (let ((_let_34 (tptp.c3_1 tptp.a238))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33))) (let ((_let_37 (tptp.c2_1 tptp.a238))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_33))) (let ((_let_40 (not tptp.hskp4))) (let ((_let_41 (tptp.c2_1 tptp.a239))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_40))) (let ((_let_44 (tptp.c1_1 tptp.a239))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_40))) (let ((_let_47 (not tptp.hskp5))) (let ((_let_48 (tptp.c0_1 tptp.a241))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_47))) (let ((_let_51 (not tptp.hskp6))) (let ((_let_52 (not tptp.hskp7))) (let ((_let_53 (not tptp.hskp8))) (let ((_let_54 (not tptp.hskp9))) (let ((_let_55 (tptp.c1_1 tptp.a248))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_54))) (let ((_let_58 (tptp.c0_1 tptp.a248))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_54))) (let ((_let_61 (not tptp.hskp10))) (let ((_let_62 (tptp.c2_1 tptp.a249))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_63 _let_61))) (let ((_let_65 (not tptp.hskp11))) (let ((_let_66 (tptp.c3_1 tptp.a251))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_67 _let_65))) (let ((_let_69 (tptp.c1_1 tptp.a251))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_65))) (let ((_let_72 (not tptp.hskp12))) (let ((_let_73 (tptp.c3_1 tptp.a252))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_74 _let_72))) (let ((_let_76 (tptp.c1_1 tptp.a252))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_72))) (let ((_let_79 (not tptp.hskp13))) (let ((_let_80 (tptp.c3_1 tptp.a253))) (let ((_let_81 (not _let_80))) (let ((_let_82 (or _let_81 _let_79))) (let ((_let_83 (tptp.c0_1 tptp.a253))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_84 _let_79))) (let ((_let_86 (not tptp.hskp14))) (let ((_let_87 (tptp.c1_1 tptp.a257))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_86))) (let ((_let_90 (not tptp.hskp15))) (let ((_let_91 (tptp.c3_1 tptp.a258))) (let ((_let_92 (not _let_91))) (let ((_let_93 (or _let_92 _let_90))) (let ((_let_94 (tptp.c2_1 tptp.a258))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_95 _let_90))) (let ((_let_97 (tptp.c0_1 tptp.a258))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_98 _let_90))) (let ((_let_100 (not tptp.hskp16))) (let ((_let_101 (tptp.c3_1 tptp.a259))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_102 _let_100))) (let ((_let_104 (tptp.c2_1 tptp.a259))) (let ((_let_105 (not _let_104))) (let ((_let_106 (or _let_105 _let_100))) (let ((_let_107 (not tptp.hskp17))) (let ((_let_108 (not tptp.hskp18))) (let ((_let_109 (tptp.c0_1 tptp.a265))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_110 _let_108))) (let ((_let_112 (not tptp.hskp19))) (let ((_let_113 (tptp.c1_1 tptp.a269))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_114 _let_112))) (let ((_let_116 (not tptp.hskp20))) (let ((_let_117 (tptp.c2_1 tptp.a271))) (let ((_let_118 (not _let_117))) (let ((_let_119 (or _let_118 _let_116))) (let ((_let_120 (not tptp.hskp21))) (let ((_let_121 (not tptp.hskp22))) (let ((_let_122 (not tptp.hskp23))) (let ((_let_123 (tptp.c2_1 tptp.a281))) (let ((_let_124 (not _let_123))) (let ((_let_125 (or _let_124 _let_122))) (let ((_let_126 (not tptp.hskp24))) (let ((_let_127 (tptp.c2_1 tptp.a282))) (let ((_let_128 (not _let_127))) (let ((_let_129 (or _let_128 _let_126))) (let ((_let_130 (tptp.c0_1 tptp.a282))) (let ((_let_131 (not _let_130))) (let ((_let_132 (or _let_131 _let_126))) (let ((_let_133 (not tptp.hskp25))) (let ((_let_134 (tptp.c3_1 tptp.a294))) (let ((_let_135 (not _let_134))) (let ((_let_136 (or _let_135 _let_133))) (let ((_let_137 (not tptp.hskp26))) (let ((_let_138 (not tptp.hskp27))) (let ((_let_139 (tptp.c3_1 tptp.a322))) (let ((_let_140 (not _let_139))) (let ((_let_141 (or _let_140 _let_138))) (let ((_let_142 (tptp.c2_1 tptp.a322))) (let ((_let_143 (not _let_142))) (let ((_let_144 (or _let_143 _let_138))) (let ((_let_145 (tptp.c1_1 tptp.a322))) (let ((_let_146 (not _let_145))) (let ((_let_147 (or _let_146 _let_138))) (let ((_let_148 (tptp.c3_1 tptp.a236))) (let ((_let_149 (or _let_29 _let_148))) (let ((_let_150 (tptp.c1_1 tptp.a236))) (let ((_let_151 (or _let_29 _let_150))) (let ((_let_152 (tptp.c0_1 tptp.a238))) (let ((_let_153 (or _let_33 _let_152))) (let ((_let_154 (tptp.c3_1 tptp.a239))) (let ((_let_155 (or _let_40 _let_154))) (let ((_let_156 (tptp.c3_1 tptp.a241))) (let ((_let_157 (or _let_47 _let_156))) (let ((_let_158 (tptp.c2_1 tptp.a241))) (let ((_let_159 (or _let_47 _let_158))) (let ((_let_160 (tptp.c3_1 tptp.a248))) (let ((_let_161 (or _let_54 _let_160))) (let ((_let_162 (tptp.c3_1 tptp.a249))) (let ((_let_163 (or _let_61 _let_162))) (let ((_let_164 (tptp.c0_1 tptp.a249))) (let ((_let_165 (or _let_61 _let_164))) (let ((_let_166 (tptp.c2_1 tptp.a251))) (let ((_let_167 (or _let_65 _let_166))) (let ((_let_168 (tptp.c0_1 tptp.a252))) (let ((_let_169 (or _let_72 _let_168))) (let ((_let_170 (tptp.c1_1 tptp.a253))) (let ((_let_171 (or _let_79 _let_170))) (let ((_let_172 (tptp.c3_1 tptp.a257))) (let ((_let_173 (or _let_86 _let_172))) (let ((_let_174 (tptp.c2_1 tptp.a257))) (let ((_let_175 (or _let_86 _let_174))) (let ((_let_176 (tptp.c1_1 tptp.a259))) (let ((_let_177 (or _let_100 _let_176))) (let ((_let_178 (tptp.c2_1 tptp.a265))) (let ((_let_179 (or _let_108 _let_178))) (let ((_let_180 (tptp.c1_1 tptp.a265))) (let ((_let_181 (or _let_108 _let_180))) (let ((_let_182 (tptp.c3_1 tptp.a269))) (let ((_let_183 (or _let_112 _let_182))) (let ((_let_184 (tptp.c0_1 tptp.a269))) (let ((_let_185 (or _let_112 _let_184))) (let ((_let_186 (tptp.c1_1 tptp.a271))) (let ((_let_187 (or _let_116 _let_186))) (let ((_let_188 (tptp.c0_1 tptp.a271))) (let ((_let_189 (or _let_116 _let_188))) (let ((_let_190 (tptp.c3_1 tptp.a281))) (let ((_let_191 (or _let_122 _let_190))) (let ((_let_192 (tptp.c1_1 tptp.a281))) (let ((_let_193 (or _let_122 _let_192))) (let ((_let_194 (tptp.c3_1 tptp.a282))) (let ((_let_195 (or _let_126 _let_194))) (let ((_let_196 (tptp.c2_1 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(REORDERING (ASSUME :args (_let_119)) :args ((or _let_116 _let_118))) (ASSUME :args (_let_187)) (ASSUME :args (_let_189)) :args ((or _let_116 _let_535) true _let_117 false _let_186 false _let_188)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_534 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_533)) :args _let_532)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_534 :args (tptp.a238 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_533)) :args _let_532)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_534 :args (tptp.a271 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_533)) :args _let_532)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_531)) :args _let_531)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_530) _let_512))) (REFL :args ((not _let_516))) :args _let_361)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_529) :args (tptp.a238 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_529)) (REORDERING (CNF_OR_POS :args (_let_511)) :args 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_let_62))) (let ((_let_550 (or _let_546 _let_543 _let_62))) (let ((_let_551 (or _let_307 _let_272 _let_109))) (let ((_let_552 (not _let_156))) (let ((_let_553 (not _let_158))) (let ((_let_554 (or _let_553 _let_552 _let_48))) (let ((_let_555 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (tptp.c0_1 U))))) (let ((_let_556 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (tptp.c0_1 U))))) (let ((_let_557 (not _let_190))) (let ((_let_558 (not _let_192))) (let ((_let_559 (or _let_558 _let_557 _let_123))) (let ((_let_560 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (tptp.c2_1 U))))) (let ((_let_561 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_562 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_563 (not _let_562))) (let ((_let_564 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_565 (not _let_564))) (let ((_let_566 (or _let_565 _let_563 _let_561))) (let ((_let_567 (tptp.c0_1 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((_let_581 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_281 :args (tptp.a248 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_280)) :args _let_279)))) (let ((_let_582 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_583 (or _let_582 _let_574 _let_576))) (let ((_let_584 (or _let_324 _let_350 _let_323))) (let ((_let_585 (or _let_582 _let_575 _let_574))) (let ((_let_586 (not _let_578))) (let ((_let_587 (not _let_258))) (let ((_let_588 (_let_587))) (let ((_let_589 (not _let_202))) (let ((_let_590 (not _let_205))) (let ((_let_591 (not _let_207))) (let ((_let_592 (or _let_591 _let_590 _let_589))) (let ((_let_593 (not _let_592))) (let ((_let_594 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_592)) :args ((or _let_591 _let_590 _let_589 _let_593))) (ASSUME :args (_let_204)) (ASSUME :args (_let_206)) (ASSUME :args (_let_208)) :args ((or _let_203 _let_593) false _let_202 false _let_205 false _let_207)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE 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(tptp.a248 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_485)) :args _let_484)))) (let ((_let_603 (ASSUME :args (_let_165)))) (let ((_let_604 (ASSUME :args (_let_163)))) (let ((_let_605 (REORDERING (ASSUME :args (_let_64)) :args ((or _let_61 _let_63))))) (let ((_let_606 (REORDERING (CNF_OR_POS :args (_let_549)) :args ((or _let_62 _let_544 _let_546 (not _let_549)))))) (let ((_let_607 (MACRO_RESOLUTION_TRUST _let_606 _let_605 _let_604 _let_603 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp10 _let_369 _let_579))) _let_231 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_473 (= U U)))) _let_602 _let_601 _let_600 _let_599 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_293 (= U U)))) _let_598 _let_597 _let_596 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) _let_231 _let_595 _let_231 _let_594 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_222 (= U W)))) (MACRO_RESOLUTION_TRUST (REORDERING 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tptp.ndr1_0 false tptp.hskp9 false tptp.ndr1_0 true tptp.hskp30 true (forall ((W $$unsorted)) (or (tptp.c0_1 W) (tptp.c2_1 W) (tptp.c3_1 W))) true _let_222 false _let_578 false _let_573 false _let_241 false _let_282 true _let_286 true _let_285 true _let_284 true _let_242 true _let_323 true _let_324 true _let_327 true (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c2_1 V))))))) (let ((_let_608 (not _let_569))) (let ((_let_609 (not _let_570))) (let ((_let_610 (REFL :args (_let_566)))) (let ((_let_611 (not _let_560))) (let ((_let_612 (_let_611))) (let ((_let_613 (_let_560))) (let ((_let_614 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_559)) :args ((or _let_123 _let_558 _let_557 (not _let_559)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_613) :args (tptp.a281 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_613)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_612)) :args _let_612)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_611) _let_560))) (REFL :args ((not _let_566))) :args _let_361)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_570)) :args ((or _let_563 _let_561 _let_567 _let_609))) (REORDERING (CNF_OR_POS :args (_let_569)) :args ((or _let_565 _let_563 _let_568 _let_608))) (CNF_OR_NEG :args (_let_566 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_566 1)) (CONG _let_610 (MACRO_SR_PRED_INTRO :args ((= (not _let_563) _let_562))) :args _let_361)) :args ((or _let_562 _let_566))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_566 0)) (CONG _let_610 (MACRO_SR_PRED_INTRO :args ((= (not _let_565) _let_564))) :args _let_361)) :args ((or _let_564 _let_566))) :args ((or _let_566 _let_609 _let_608) true _let_567 true _let_561 false _let_562 false _let_564)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_427)) :args _let_426)) _let_607 :args (_let_570 false _let_259)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_497 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_496)) :args _let_495)) _let_571 :args (_let_569 false _let_266)) :args (_let_566 false _let_570 false _let_569)) :args (_let_560 false _let_566)) :args (_let_559 false _let_560)) (REORDERING (ASSUME :args (_let_125)) :args ((or _let_122 _let_124))) (ASSUME :args (_let_191)) (ASSUME :args (_let_193)) :args (_let_122 false _let_559 true _let_123 false _let_190 false _let_192)))) (let ((_let_615 (MACRO_RESOLUTION_TRUST _let_432 (MACRO_RESOLUTION_TRUST _let_429 _let_607 :args (_let_289 false _let_259)) :args (_let_126 false _let_289)))) (let ((_let_616 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_555 (= U U)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp24 tptp.hskp23 _let_369 _let_556))) _let_615 _let_614 _let_231 :args (_let_556 true tptp.hskp24 true tptp.hskp23 false tptp.ndr1_0)) :args (_let_555 false _let_556)))) (let ((_let_617 (_let_555))) (let ((_let_618 ((not (= (tptp.c2_1 U) false))))) (let ((_let_619 (ASSUME :args _let_617))) (let ((_let_620 (not _let_545))) (let ((_let_621 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_497 :args (tptp.a249 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_496)) :args _let_495)) _let_571 :args (_let_548 false _let_266)))) (let ((_let_622 (REORDERING (CNF_OR_POS :args (_let_548)) :args ((or _let_544 _let_546 _let_547 (not _let_548)))))) (let ((_let_623 (MACRO_RESOLUTION_TRUST _let_454 _let_452 _let_373 _let_450 _let_372 _let_231 _let_449 _let_448 _let_371 _let_446 _let_231 _let_453 _let_406 _let_451 _let_408 (REORDERING (CNF_OR_POS :args (_let_551)) :args ((or _let_109 _let_307 _let_272 (not _let_551)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_619 :args (tptp.a265 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_618)) :args _let_617)) _let_616 :args (_let_551 false _let_555)) _let_444 _let_443 _let_539 _let_442 _let_441 _let_417 _let_440 _let_231 _let_439 _let_231 _let_315 _let_420 _let_231 _let_438 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_281 :args (tptp.a249 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_280)) :args _let_279)) _let_421 _let_437 _let_600 (REORDERING (CNF_OR_POS :args (_let_550)) :args ((or _let_62 _let_546 _let_543 (not _let_550)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_424 :args (tptp.a249 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_538)) :args _let_422)) _let_606 _let_622 _let_621 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_545)) :args ((or _let_62 _let_544 _let_543 _let_620))) _let_622 _let_621 _let_605 _let_604 _let_603 :args ((or _let_61 _let_620) true _let_543 false _let_548 true _let_62 false _let_162 false _let_164)) _let_605 _let_604 _let_603 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp10 tptp.hskp5 _let_369 _let_242))) _let_231 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_554)) :args ((or _let_48 _let_553 _let_552 (not _let_554)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_619 :args (tptp.a241 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_618)) :args _let_617)) _let_616 :args (_let_554 false _let_555)) (REORDERING (ASSUME :args (_let_50)) :args ((or _let_47 _let_49))) (ASSUME :args (_let_157)) (ASSUME :args (_let_159)) :args (_let_47 false _let_554 true _let_48 false _let_156 false _let_158)) _let_320 _let_319 _let_316 :args (_let_242 true _let_311 false _let_237 false _let_302 false _let_314 false tptp.ndr1_0 true _let_34 true _let_37 true _let_313 false tptp.hskp3 false tptp.ndr1_0 true _let_312 true tptp.hskp12 true _let_309 false _let_305 true _let_271 false _let_551 false _let_303 false _let_300 true _let_109 false _let_178 false _let_180 false _let_299 false _let_298 false tptp.ndr1_0 false tptp.hskp18 false tptp.ndr1_0 true _let_282 false _let_297 false tptp.ndr1_0 true _let_296 true _let_241 true _let_295 true _let_294 true _let_293 true _let_550 true _let_292 true _let_549 true _let_543 false _let_548 true _let_545 true _let_62 false _let_162 false _let_164 false tptp.hskp10 false tptp.ndr1_0 true tptp.hskp5 true _let_287 true _let_286 true _let_283)))) (let ((_let_624 (MACRO_RESOLUTION_TRUST _let_494 _let_580 (MACRO_RESOLUTION_TRUST _let_458 _let_623 :args (_let_246 false _let_242)) :args (_let_210 false _let_265 false _let_246)))) (let ((_let_625 (not _let_182))) (let ((_let_626 (not _let_184))) (let ((_let_627 (or _let_626 _let_625 _let_113))) (let ((_let_628 (not _let_627))) (let ((_let_629 (_let_229))) (let ((_let_630 (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_214)) :args ((or tptp.hskp24 tptp.hskp23 tptp.hskp13))) _let_615 _let_614 :args (tptp.hskp13 true tptp.hskp24 true tptp.hskp23)))) (let ((_let_631 (MACRO_RESOLUTION_TRUST _let_395 _let_630 :args (_let_81 false tptp.hskp13)))) (let ((_let_632 (MACRO_RESOLUTION_TRUST _let_394 _let_630 :args (_let_84 false tptp.hskp13)))) (let ((_let_633 (MACRO_RESOLUTION_TRUST _let_595 _let_594 _let_231 (MACRO_RESOLUTION_TRUST _let_391 (MACRO_RESOLUTION_TRUST _let_396 _let_632 _let_631 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_228)) :args ((or _let_83 _let_80 _let_227 (not _let_228)))) _let_632 _let_631 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_629) :args (tptp.a253 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 U) false))))) :args _let_629)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_229 (= U U)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp19 tptp.hskp16 _let_369 _let_230))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_627)) :args ((or _let_113 _let_626 _let_625 _let_628))) (REORDERING (ASSUME :args (_let_115)) :args ((or _let_112 _let_114))) (ASSUME :args (_let_183)) (ASSUME :args (_let_185)) :args ((or _let_112 _let_628) true _let_113 false _let_182 false _let_184)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_457 :args (tptp.a269 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_456)) :args _let_455)) _let_623 :args (_let_627 false _let_242)) :args (_let_112 false _let_627)) (MACRO_RESOLUTION_TRUST _let_374 (MACRO_RESOLUTION_TRUST _let_378 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_237 (= U U)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp31 tptp.hskp4 _let_369 _let_238))) _let_624 _let_542 _let_231 :args (_let_238 true tptp.hskp31 true tptp.hskp4 false tptp.ndr1_0)) :args (_let_237 false _let_238)) :args (_let_233 false _let_237)) _let_236 _let_235 _let_234 :args (_let_100 false _let_233 true _let_101 true _let_104 false _let_176)) _let_231 :args (_let_230 true tptp.hskp19 true tptp.hskp16 false tptp.ndr1_0)) :args (_let_229 false _let_230)) :args (_let_228 false _let_229)) :args (_let_227 true _let_83 true _let_80 false _let_228)) :args (_let_226 true _let_83 true _let_80 true _let_223)) :args (_let_225 true _let_224)) :args (tptp.hskp9 true tptp.hskp30 false tptp.ndr1_0 true _let_222)))) (let ((_let_634 (MACRO_RESOLUTION_TRUST _let_598 _let_633 :args (_let_56 false tptp.hskp9)))) (let ((_let_635 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_636 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_637 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_638 (not _let_637))) (let ((_let_639 (or _let_638 _let_636 _let_635))) (let ((_let_640 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_641 (not _let_640))) (let ((_let_642 (or _let_641 _let_638 _let_636))) (let ((_let_643 (or _let_638 _let_640 _let_635))) (let ((_let_644 (not _let_241))) (let ((_let_645 (_let_644))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_601 (MACRO_RESOLUTION_TRUST _let_599 _let_634 (MACRO_RESOLUTION_TRUST _let_596 _let_633 :args (_let_160 false tptp.hskp9)) (MACRO_RESOLUTION_TRUST _let_581 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_645)) :args _let_645)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_644) _let_241))) (REFL :args ((not _let_639))) :args _let_361)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_643)) :args ((or _let_638 _let_635 _let_640 (not _let_643)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_427)) :args _let_426)) _let_607 :args (_let_643 false _let_259)) (REORDERING (CNF_OR_POS :args (_let_642)) :args ((or _let_638 _let_636 _let_641 (not _let_642)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_457 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_456)) :args _let_455)) _let_623 :args (_let_642 false _let_242)) (CNF_OR_NEG :args (_let_639 2)) (CNF_OR_NEG :args (_let_639 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_639 0)) (CONG (REFL :args (_let_639)) (MACRO_SR_PRED_INTRO :args ((= (not _let_638) _let_637))) :args _let_361)) :args ((or _let_637 _let_639))) :args (_let_639 false _let_643 true _let_640 false _let_642 true _let_635 true _let_636 false _let_637)) :args (_let_241 false _let_639)) :args (_let_573 false _let_241)) :args (_let_219 true _let_55 false _let_160 false _let_573)) _let_634 (MACRO_RESOLUTION_TRUST _let_602 (MACRO_RESOLUTION_TRUST _let_483 _let_624 _let_231 :args (_let_473 true tptp.hskp31 false tptp.ndr1_0)) :args (_let_221 false _let_473)) (MACRO_RESOLUTION_TRUST _let_597 _let_633 :args (_let_59 false tptp.hskp9)) :args (false false _let_219 true _let_55 false _let_221 true _let_58)) :args ((or _let_210 tptp.ndr1_0) (or _let_203 tptp.ndr1_0) (or _let_201 tptp.ndr1_0) _let_218 (or _let_138 tptp.ndr1_0) (or _let_137 tptp.ndr1_0) (or _let_133 tptp.ndr1_0) (or _let_126 tptp.ndr1_0) (or _let_122 tptp.ndr1_0) _let_217 (or _let_120 tptp.ndr1_0) (or _let_116 tptp.ndr1_0) (or _let_112 tptp.ndr1_0) (or _let_108 tptp.ndr1_0) (or _let_107 tptp.ndr1_0) (or _let_100 tptp.ndr1_0) (or _let_90 tptp.ndr1_0) (or _let_86 tptp.ndr1_0) (or _let_79 tptp.ndr1_0) (or _let_72 tptp.ndr1_0) (or _let_65 tptp.ndr1_0) (or _let_61 tptp.ndr1_0) (or _let_54 tptp.ndr1_0) (or _let_53 tptp.ndr1_0) (or _let_52 tptp.ndr1_0) (or _let_51 tptp.ndr1_0) (or _let_47 tptp.ndr1_0) (or _let_40 tptp.ndr1_0) (or _let_33 tptp.ndr1_0) _let_216 (or _let_28 tptp.ndr1_0) (or _let_27 tptp.ndr1_0) _let_215 (or tptp.hskp22 tptp.hskp18 tptp.hskp5) (or tptp.hskp8 tptp.hskp19 tptp.hskp9) (or tptp.hskp8 tptp.hskp7 tptp.hskp15) (or tptp.hskp8 tptp.hskp13 tptp.hskp11) (or tptp.hskp8 tptp.hskp13 tptp.hskp24) (or tptp.hskp19 tptp.hskp18 tptp.hskp11) (or tptp.hskp2 tptp.hskp13 tptp.hskp14) _let_214 (or tptp.hskp5 tptp.hskp11 tptp.hskp9) _let_213 (or _let_210 (tptp.c2_1 tptp.a246)) _let_211 _let_208 _let_206 _let_204 (or _let_201 (tptp.c1_1 tptp.a240)) (or _let_201 (tptp.c2_1 tptp.a240)) (or _let_201 (tptp.c3_1 tptp.a240)) (or _let_200 (tptp.c0_1 tptp.a237)) (or _let_200 (tptp.c1_1 tptp.a237)) (or _let_200 (tptp.c2_1 tptp.a237)) (or _let_137 (tptp.c2_1 tptp.a314)) _let_199 _let_197 _let_195 _let_193 _let_191 (or _let_121 (tptp.c0_1 tptp.a276)) (or _let_121 (tptp.c1_1 tptp.a276)) (or _let_120 (tptp.c0_1 tptp.a274)) (or _let_120 (tptp.c2_1 tptp.a274)) _let_189 _let_187 _let_185 _let_183 _let_181 _let_179 _let_177 _let_175 _let_173 _let_171 _let_169 _let_167 _let_165 _let_163 _let_161 (or _let_53 (tptp.c0_1 tptp.a245)) (or _let_53 (tptp.c2_1 tptp.a245)) (or _let_52 (tptp.c0_1 tptp.a244)) (or _let_51 (tptp.c2_1 tptp.a242)) _let_159 _let_157 _let_155 _let_153 _let_151 _let_149 (or _let_27 (tptp.c1_1 tptp.a234)) _let_147 _let_144 _let_141 (or (not (tptp.c0_1 tptp.a314)) _let_137) (or (not (tptp.c3_1 tptp.a314)) _let_137) _let_136 _let_132 _let_129 _let_125 (or (not (tptp.c3_1 tptp.a276)) _let_121) (or (not (tptp.c3_1 tptp.a274)) _let_120) _let_119 _let_115 _let_111 (or (not (tptp.c0_1 tptp.a263)) _let_107) (or (not (tptp.c1_1 tptp.a263)) _let_107) (or (not (tptp.c3_1 tptp.a263)) _let_107) _let_106 _let_103 _let_99 _let_96 _let_93 _let_89 _let_85 _let_82 _let_78 _let_75 _let_71 _let_68 _let_64 _let_60 _let_57 (or (not (tptp.c1_1 tptp.a245)) _let_53) (or (not (tptp.c1_1 tptp.a244)) _let_52) (or (not (tptp.c2_1 tptp.a244)) _let_52) (or (not (tptp.c0_1 tptp.a242)) _let_51) (or (not (tptp.c1_1 tptp.a242)) _let_51) _let_50 _let_46 _let_43 _let_39 _let_36 _let_32 (or (not (tptp.c0_1 tptp.a235)) _let_28) (or (not (tptp.c1_1 tptp.a235)) _let_28) (or (not (tptp.c2_1 tptp.a235)) _let_28) (or (not (tptp.c0_1 tptp.a234)) _let_27) (or (not (tptp.c2_1 tptp.a234)) _let_27) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp29 tptp.hskp5)) _let_26 _let_25 _let_24 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp29)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp7 tptp.hskp11)) _let_23 _let_22 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp29 tptp.hskp17)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp18 tptp.hskp9)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp28 tptp.hskp4)) _let_21 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp16 tptp.hskp11)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp9 tptp.hskp17)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp22 tptp.hskp7)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp20 tptp.hskp2)) _let_20 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp19 tptp.hskp15)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp8 tptp.hskp13)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp22 tptp.hskp18)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp19 tptp.hskp17)) _let_19 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp11 tptp.hskp24)) _let_18 _let_17 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp25 tptp.hskp5)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp19 tptp.hskp29)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp31 tptp.hskp21)) _let_16 _let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp0)) (forall ((U $$unsorted) (V $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp6)) (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.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp30)) _let_14 _let_13 _let_12 (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.hskp7)) (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.hskp14)) (forall ((U $$unsorted) (V $$unsorted)) (or (not tptp.ndr1_0) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 U) tptp.hskp21)) _let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_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.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) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp28)) _let_10 (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) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp4)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp8)) _let_9 _let_8 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp10)) (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.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp4)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp29)) _let_7 _let_6 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp5)) (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.c2_1 V) (tptp.c3_1 V) tptp.hskp20)) (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.c2_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp20)) (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.c0_1 V) tptp.hskp31)) (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.hskp7)) (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.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V) tptp.hskp11)) (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.hskp26)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W))) _let_5 _let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c1_1 W)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c2_1 W))) _let_3 _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.c1_1 V)) (not (tptp.c3_1 V)) (not (tptp.c0_1 W)) (tptp.c2_1 V) (tptp.c2_1 W) (tptp.c3_1 W)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.75 )
% 0.21/0.75 % SZS output end Proof for SYN502-1
% 0.21/0.75 % cvc5---1.0.5 exiting
% 0.21/0.75 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------