TSTP Solution File: SYN448-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN448-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n027.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 02:03:17 EDT 2023

% Result   : Unsatisfiable 0.64s 0.85s
% Output   : Proof 0.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem    : SYN448-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.16  % Command    : do_cvc5 %s %d
% 0.16/0.39  % Computer : n027.cluster.edu
% 0.16/0.39  % Model    : x86_64 x86_64
% 0.16/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39  % Memory   : 8042.1875MB
% 0.16/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39  % CPULimit   : 300
% 0.16/0.39  % WCLimit    : 300
% 0.16/0.39  % DateTime   : Sat Aug 26 19:28:05 EDT 2023
% 0.16/0.39  % CPUTime    : 
% 0.24/0.55  %----Proving TF0_NAR, FOF, or CNF
% 0.24/0.55  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.SEWQTZHgKf/cvc5---1.0.5_22659.p...
% 0.24/0.57  ------- get file name : TPTP file name is SYN448-1
% 0.24/0.58  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22659.smt2...
% 0.24/0.58  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.64/0.85  % SZS status Unsatisfiable for SYN448-1
% 0.64/0.85  % SZS output start Proof for SYN448-1
% 0.64/0.89  (
% 0.64/0.89  (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 W) (tptp.c2_1 W) (tptp.c3_1 W) (tptp.c0_1 V))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c2_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c1_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.c2_1 V)) (tptp.c1_1 V) tptp.hskp17)))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V) tptp.hskp14)))) (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.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V) tptp.hskp7)))) (let ((_let_8 (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)) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp3)))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c1_1 V) tptp.hskp9)))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp8)))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp26)))) (let ((_let_12 (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.hskp21)))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp9)))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp9)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp12)))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp2)))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp7)))) (let ((_let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp25)))) (let ((_let_19 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_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_20 (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.c2_1 V) (tptp.c3_1 V) tptp.hskp27)))) (let ((_let_21 (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.c3_1 V) tptp.hskp0)))) (let ((_let_22 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp3 tptp.hskp12)))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp11 tptp.hskp7)))) (let ((_let_24 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp12 tptp.hskp14)))) (let ((_let_25 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp18 tptp.hskp2)))) (let ((_let_26 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp27 tptp.hskp16)))) (let ((_let_27 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp0 tptp.hskp12)))) (let ((_let_28 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp6 tptp.hskp2)))) (let ((_let_29 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp3 tptp.hskp15)))) (let ((_let_30 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp0 tptp.hskp1)))) (let ((_let_31 (not tptp.hskp0))) (let ((_let_32 (tptp.c3_1 tptp.a460))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31))) (let ((_let_35 (tptp.c2_1 tptp.a460))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_31))) (let ((_let_38 (not tptp.hskp1))) (let ((_let_39 (tptp.c1_1 tptp.a463))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_38))) (let ((_let_42 (tptp.c0_1 tptp.a463))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_38))) (let ((_let_45 (not tptp.hskp2))) (let ((_let_46 (tptp.c3_1 tptp.a465))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_45))) (let ((_let_49 (tptp.c2_1 tptp.a465))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_45))) (let ((_let_52 (tptp.c0_1 tptp.a465))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_45))) (let ((_let_55 (not tptp.hskp3))) (let ((_let_56 (tptp.c0_1 tptp.a466))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_55))) (let ((_let_59 (not tptp.hskp4))) (let ((_let_60 (not tptp.hskp5))) (let ((_let_61 (not tptp.hskp6))) (let ((_let_62 (tptp.c3_1 tptp.a471))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_63 _let_61))) (let ((_let_65 (tptp.c1_1 tptp.a471))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_61))) (let ((_let_68 (not tptp.hskp7))) (let ((_let_69 (tptp.c2_1 tptp.a474))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_68))) (let ((_let_72 (tptp.c1_1 tptp.a474))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_68))) (let ((_let_75 (not tptp.hskp8))) (let ((_let_76 (tptp.c3_1 tptp.a475))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_75))) (let ((_let_79 (not tptp.hskp9))) (let ((_let_80 (tptp.c1_1 tptp.a476))) (let ((_let_81 (not _let_80))) (let ((_let_82 (or _let_81 _let_79))) (let ((_let_83 (not tptp.hskp10))) (let ((_let_84 (not tptp.hskp11))) (let ((_let_85 (tptp.c3_1 tptp.a478))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_86 _let_84))) (let ((_let_88 (tptp.c0_1 tptp.a478))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_89 _let_84))) (let ((_let_91 (not tptp.hskp12))) (let ((_let_92 (tptp.c2_1 tptp.a480))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_93 _let_91))) (let ((_let_95 (tptp.c1_1 tptp.a480))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_96 _let_91))) (let ((_let_98 (tptp.c0_1 tptp.a480))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_91))) (let ((_let_101 (not tptp.hskp13))) (let ((_let_102 (not tptp.hskp14))) (let ((_let_103 (tptp.c3_1 tptp.a488))) (let ((_let_104 (not _let_103))) (let ((_let_105 (or _let_104 _let_102))) (let ((_let_106 (tptp.c2_1 tptp.a488))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_107 _let_102))) (let ((_let_109 (tptp.c1_1 tptp.a488))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_110 _let_102))) (let ((_let_112 (not tptp.hskp15))) (let ((_let_113 (not tptp.hskp16))) (let ((_let_114 (tptp.c2_1 tptp.a493))) (let ((_let_115 (not _let_114))) (let ((_let_116 (or _let_115 _let_113))) (let ((_let_117 (tptp.c0_1 tptp.a493))) (let ((_let_118 (not _let_117))) (let ((_let_119 (or _let_118 _let_113))) (let ((_let_120 (not tptp.hskp17))) (let ((_let_121 (tptp.c3_1 tptp.a494))) (let ((_let_122 (not _let_121))) (let ((_let_123 (or _let_122 _let_120))) (let ((_let_124 (tptp.c1_1 tptp.a494))) (let ((_let_125 (not _let_124))) (let ((_let_126 (or _let_125 _let_120))) (let ((_let_127 (tptp.c0_1 tptp.a494))) (let ((_let_128 (not _let_127))) (let ((_let_129 (or _let_128 _let_120))) (let ((_let_130 (not tptp.hskp18))) (let ((_let_131 (tptp.c0_1 tptp.a500))) (let ((_let_132 (not _let_131))) (let ((_let_133 (or _let_132 _let_130))) (let ((_let_134 (not tptp.hskp19))) (let ((_let_135 (not tptp.hskp20))) (let ((_let_136 (tptp.c1_1 tptp.a503))) (let ((_let_137 (not _let_136))) (let ((_let_138 (or _let_137 _let_135))) (let ((_let_139 (not tptp.hskp21))) (let ((_let_140 (tptp.c1_1 tptp.a512))) (let ((_let_141 (not _let_140))) (let ((_let_142 (or _let_141 _let_139))) (let ((_let_143 (not tptp.hskp22))) (let ((_let_144 (not tptp.hskp23))) (let ((_let_145 (tptp.c3_1 tptp.a533))) (let ((_let_146 (not _let_145))) (let ((_let_147 (or _let_146 _let_144))) (let ((_let_148 (tptp.c1_1 tptp.a533))) (let ((_let_149 (not _let_148))) (let ((_let_150 (or _let_149 _let_144))) (let ((_let_151 (not tptp.hskp24))) (let ((_let_152 (tptp.c0_1 tptp.a460))) (let ((_let_153 (or _let_31 _let_152))) (let ((_let_154 (tptp.c2_1 tptp.a463))) (let ((_let_155 (or _let_38 _let_154))) (let ((_let_156 (tptp.c3_1 tptp.a466))) (let ((_let_157 (or _let_55 _let_156))) (let ((_let_158 (tptp.c1_1 tptp.a466))) (let ((_let_159 (or _let_55 _let_158))) (let ((_let_160 (tptp.c3_1 tptp.a474))) (let ((_let_161 (or _let_68 _let_160))) (let ((_let_162 (tptp.c1_1 tptp.a475))) (let ((_let_163 (or _let_75 _let_162))) (let ((_let_164 (tptp.c0_1 tptp.a475))) (let ((_let_165 (or _let_75 _let_164))) (let ((_let_166 (tptp.c2_1 tptp.a476))) (let ((_let_167 (or _let_79 _let_166))) (let ((_let_168 (tptp.c0_1 tptp.a476))) (let ((_let_169 (or _let_79 _let_168))) (let ((_let_170 (tptp.c2_1 tptp.a478))) (let ((_let_171 (or _let_84 _let_170))) (let ((_let_172 (tptp.c3_1 tptp.a492))) (let ((_let_173 (or _let_112 _let_172))) (let ((_let_174 (tptp.c1_1 tptp.a492))) (let ((_let_175 (or _let_112 _let_174))) (let ((_let_176 (tptp.c1_1 tptp.a493))) (let ((_let_177 (or _let_113 _let_176))) (let ((_let_178 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_let_397)) :args _let_396)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_639 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_638)) :args _let_637)) _let_636 _let_635 _let_634 _let_633 _let_632 _let_631 _let_468 _let_630 _let_629 _let_496 _let_628 _let_492 _let_627 _let_491 _let_624 _let_490 _let_597 :args ((or tptp.hskp9 _let_136 _let_284 _let_264 _let_282 _let_354 _let_358 _let_487 _let_539 _let_537 _let_531 _let_529 _let_527) true _let_623 false _let_248 false tptp.hskp6 false _let_246 true tptp.hskp2 false _let_227 false _let_226 false _let_622 false _let_535 true _let_239 false _let_228 true _let_236 false _let_565 true _let_549 false _let_621 false _let_619 false _let_618 false _let_545 false _let_281 false _let_269 false _let_546 false _let_283 false _let_268 false _let_330 true _let_263 true _let_262 true _let_259 true _let_365 true _let_359 true _let_544 true _let_355 false _let_543 false _let_357 false _let_573)) _let_613 _let_612 _let_611 _let_413 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(MACRO_SR_PRED_INTRO :args ((= (not _let_576) _let_575))) :args _let_360)) :args ((or _let_575 _let_586))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_604)) :args _let_604)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_603) _let_585))) (REFL :args ((not _let_586))) :args _let_360)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_602) :args (tptp.a474 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 U) false))))) :args _let_602)) (REORDERING (CNF_OR_POS :args (_let_584)) :args ((or _let_72 _let_69 _let_521 (not _let_584)))) _let_601 _let_600 _let_599 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp7 _let_284 _let_583 _let_526))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_582 (= U U)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_598) :args (tptp.a475 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_598)) (REORDERING (CNF_OR_POS :args 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SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_700 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_701 (or _let_700 _let_699 _let_698))) (let ((_let_702 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_703 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_424 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_423)) :args _let_422)))) (let ((_let_704 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_424 :args (tptp.a488 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_605)) :args _let_422)))) (let ((_let_705 (not _let_693))) (let ((_let_706 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_226 (= U V)))))) (let ((_let_707 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_708 (or _let_692 _let_707 _let_689))) (let ((_let_709 (not _let_690))) (let ((_let_710 (or _let_709 _let_707 _let_689))) (let ((_let_711 (not _let_235))) (let ((_let_712 (_let_711))) (let ((_let_713 (not _let_505))) (let ((_let_714 (not _let_523))) (let ((_let_715 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_505)) :args ((or _let_72 _let_69 _let_504 _let_713))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_523)) :args ((or _let_69 _let_521 _let_522 _let_714))) _let_601 _let_599 :args ((or _let_68 _let_522 _let_714) true _let_69 false _let_160)) _let_601 _let_600 :args ((or _let_68 _let_714 _let_713) true _let_504 true _let_69 true _let_72)))) (let ((_let_716 (_let_520))) (let ((_let_717 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_716) :args (tptp.a474 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 U) false))))) :args _let_716)))) (let ((_let_718 (_let_517))) (let ((_let_719 ((not (= (tptp.c1_1 U) false))))) (let ((_let_720 (ASSUME :args _let_718))) (let ((_let_721 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_520 (= U U)))))) (let ((_let_722 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_517 (= U V)))))) (let ((_let_723 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp21 _let_284 _let_519 _let_518))))) (let ((_let_724 (MACRO_RESOLUTION_TRUST _let_723 _let_722 _let_721 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_720 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_719)) :args _let_718)) _let_717 (REORDERING (CNF_OR_POS :args (_let_710)) :args ((or _let_707 _let_689 _let_709 (not _let_710)))) (REORDERING (CNF_OR_POS :args (_let_693)) :args ((or _let_692 _let_689 _let_690 _let_705))) _let_715 (CNF_OR_NEG :args (_let_708 2)) (CNF_OR_NEG :args (_let_708 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_708 0)) (CONG (REFL :args (_let_708)) (MACRO_SR_PRED_INTRO :args ((= (not _let_692) _let_691))) :args _let_360)) :args ((or _let_691 _let_708))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp7 _let_284 _let_235 _let_702))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_712)) :args _let_712)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_711) _let_235))) (REFL :args ((not _let_708))) :args _let_360)) _let_524 _let_497 :args ((or tptp.hskp21 _let_284 _let_235 _let_702 _let_705) true _let_518 true _let_519 true _let_517 true _let_520 true _let_710 false _let_690 true _let_523 true _let_689 true _let_707 false _let_691 false tptp.hskp7 true _let_708 false _let_505 false _let_219)))) (let ((_let_725 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp12 tptp.hskp0 _let_284 _let_247))))) (let ((_let_726 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp0 _let_284 _let_226 _let_248))))) (let ((_let_727 (_let_247))) (let ((_let_728 ((not (= (tptp.c2_1 U) false))))) (let ((_let_729 (ASSUME :args _let_727))) (let ((_let_730 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_729 :args (tptp.a478 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_728)) :args _let_727)))) (let ((_let_731 ((not (= (tptp.c0_1 V) true))))) (let ((_let_732 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_668 :args (tptp.a465 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_731)) :args _let_666)))) (let ((_let_733 (REORDERING (CNF_OR_POS :args (_let_514)) :args ((or _let_52 _let_46 _let_513 (not _let_514)))))) (let ((_let_734 (REORDERING (CNF_OR_POS :args (_let_516)) :args ((or _let_49 _let_46 _let_515 (not _let_516)))))) (let ((_let_735 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_720 :args (tptp.a465 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_719)) :args _let_718)))) (let ((_let_736 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp11 tptp.hskp7 _let_284 _let_517))))) (let ((_let_737 (ASSUME :args (_let_171)))) (let ((_let_738 (REORDERING (ASSUME :args (_let_90)) :args ((or _let_84 _let_89))))) (let ((_let_739 (REORDERING (ASSUME :args (_let_87)) :args ((or _let_84 _let_86))))) (let ((_let_740 (REORDERING (CNF_OR_POS :args (_let_512)) :args ((or _let_88 _let_85 _let_511 (not _let_512)))))) (let ((_let_741 (not _let_248))) (let ((_let_742 (_let_741))) (let ((_let_743 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_742)) :args _let_742)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_741) _let_248))) (REFL :args ((not _let_701))) :args _let_360)))) (let ((_let_744 (CNF_OR_NEG :args (_let_701 0)))) (let ((_let_745 (CNF_OR_NEG :args (_let_701 1)))) (let ((_let_746 (CNF_OR_NEG :args (_let_701 2)))) (let ((_let_747 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_748 (or _let_700 _let_747 _let_698))) (let ((_let_749 (or _let_694 _let_106 _let_103))) (let ((_let_750 (not _let_747))) (let ((_let_751 (or _let_750 _let_699 _let_698))) (let ((_let_752 (not _let_696))) (let ((_let_753 (_let_273))) (let ((_let_754 ((not (= (tptp.c2_1 U) false))))) (let ((_let_755 (ASSUME :args _let_753))) (let ((_let_756 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_273 (= U U)))))) (let ((_let_757 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp14 tptp.hskp12 _let_284 _let_274))))) (let ((_let_758 (REORDERING (ASSUME :args (_let_111)) :args ((or _let_102 _let_110))))) (let ((_let_759 (REORDERING (ASSUME :args (_let_108)) :args ((or _let_102 _let_107))))) (let ((_let_760 (REORDERING (ASSUME :args (_let_105)) :args ((or _let_102 _let_104))))) (let ((_let_761 (REORDERING (CNF_OR_POS :args (_let_696)) :args ((or _let_109 _let_103 _let_695 _let_752))))) (let ((_let_762 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_749)) :args ((or _let_106 _let_103 _let_694 (not _let_749)))) _let_761 _let_760 _let_759 _let_758 _let_757 _let_756 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_755 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_754)) :args _let_753)) (REORDERING (CNF_OR_POS :args (_let_751)) :args ((or _let_699 _let_698 _let_750 (not _let_751)))) (REORDERING (CNF_OR_POS :args (_let_748)) :args ((or _let_700 _let_698 _let_747 (not _let_748)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_653 :args (tptp.a488 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 U) true))))) :args _let_651)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_653 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_652)) :args _let_651)) _let_503 _let_501 _let_497 :args ((or _let_284 _let_649 _let_700 _let_699 _let_698 _let_752) true _let_694 true _let_103 true _let_106 true _let_109 false tptp.hskp14 true _let_274 true _let_273 true _let_751 false _let_747 false _let_749 false _let_748 true tptp.hskp12 false _let_220 false _let_219)))) (let ((_let_763 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_228 (= U U)))))) (let ((_let_764 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_644 :args (tptp.a500 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_643)) :args _let_642)))) (let ((_let_765 (not _let_234))) (let ((_let_766 (ASSUME :args (_let_179)))) (let ((_let_767 (REORDERING (ASSUME :args (_let_133)) :args ((or _let_130 _let_132))))) (let ((_let_768 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_234)) :args ((or _let_131 _let_233 _let_232 _let_765))) _let_767 _let_766 (ASSUME :args (_let_181)) :args ((or _let_130 _let_765) true _let_131 false _let_178 false _let_180)))) (let ((_let_769 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp18 tptp.hskp2 _let_284 _let_229))))) (let ((_let_770 (MACRO_RESOLUTION_TRUST _let_740 _let_739 _let_738 _let_737 _let_736 _let_715 _let_717 _let_721 _let_723 _let_722 _let_735 _let_734 _let_733 _let_732 _let_726 _let_654 _let_659 _let_658 _let_657 _let_656 _let_769 _let_768 _let_730 _let_725 _let_372 _let_764 _let_376 _let_679 _let_594 _let_678 _let_590 _let_677 _let_587 _let_763 (MACRO_RESOLUTION_TRUST _let_376 _let_372 _let_724 _let_726 _let_706 _let_762 _let_746 _let_745 _let_744 _let_743 _let_669 _let_665 _let_661 (MACRO_RESOLUTION_TRUST _let_740 _let_739 _let_738 _let_737 _let_736 _let_715 _let_717 _let_721 _let_723 _let_722 _let_735 _let_734 _let_733 _let_732 _let_730 _let_726 _let_725 _let_372 _let_376 _let_724 _let_706 _let_654 _let_659 _let_658 _let_657 _let_656 _let_503 _let_501 _let_524 _let_497 :args ((or tptp.hskp21 _let_45 _let_284 _let_705) true _let_85 true _let_88 false _let_170 false tptp.hskp11 true tptp.hskp7 false _let_523 false _let_520 false _let_519 true _let_518 true _let_517 true _let_516 false _let_513 false _let_514 false _let_512 false _let_248 false _let_247 true tptp.hskp0 false _let_238 false _let_235 true _let_702 true _let_226 true _let_227 true _let_46 true _let_49 true _let_52 true tptp.hskp12 false _let_220 false _let_505 false _let_219)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_370 :args (tptp.a503 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_369)) :args _let_368)) (REORDERING (CNF_OR_POS :args (_let_697)) :args ((or _let_136 _let_354 _let_355 (not _let_697)))) _let_674 _let_417 _let_416 _let_415 _let_429 _let_428 _let_425 _let_704 _let_606 _let_703 _let_672 _let_688 _let_686 _let_685 _let_503 _let_501 _let_497 _let_384 _let_380 _let_684 :args ((or tptp.hskp9 _let_284 _let_421) true _let_238 false _let_235 false tptp.hskp0 true _let_702 true _let_226 true _let_698 true _let_699 true _let_700 true _let_701 true _let_248 true _let_623 false tptp.hskp6 true tptp.hskp2 true _let_365 true _let_697 true _let_355 true _let_136 false _let_182 false _let_184 false tptp.hskp20 true tptp.hskp23 false _let_351 false _let_696 false _let_535 false _let_693 false _let_609 true tptp.hskp21 false _let_508 false _let_471 true tptp.hskp12 false _let_220 false _let_219 true tptp.hskp3 false _let_303 false _let_260)) _let_688 _let_686 _let_685 _let_384 _let_380 _let_684 _let_503 _let_501 _let_524 _let_497 :args ((or tptp.hskp9 _let_284) true _let_85 true _let_88 false _let_170 false tptp.hskp11 true tptp.hskp7 false _let_523 false _let_520 false _let_519 true _let_518 true _let_517 true _let_516 false _let_513 false _let_514 false _let_248 true _let_226 true _let_227 true _let_46 true _let_49 true _let_52 false tptp.hskp2 true tptp.hskp18 false _let_512 false _let_247 true tptp.hskp0 false _let_234 false _let_238 false _let_236 false _let_235 false _let_510 false _let_231 true _let_509 true _let_230 true _let_229 true _let_228 true tptp.hskp21 false _let_508 false _let_471 true tptp.hskp3 false _let_303 false _let_260 true tptp.hskp12 false _let_220 false _let_505 false _let_219)))) (let ((_let_771 (or _let_694 _let_109 _let_106))) (let ((_let_772 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_773 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V))))) (let ((_let_774 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_775 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_776 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_777 (not _let_776))) (let ((_let_778 (or _let_777 _let_775 _let_774))) (let ((_let_779 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_780 (or _let_776 _let_779 _let_774))) (let ((_let_781 (or _let_779 _let_775 _let_774))) (let ((_let_782 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_668 :args (tptp.a494 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_731)) :args _let_666)))) (let ((_let_783 (not _let_253))) (let ((_let_784 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_253)) :args ((or _let_127 _let_124 _let_121 _let_783))) _let_467 _let_466 _let_465 :args ((or _let_120 _let_783) true _let_121 true _let_124 true _let_127)))) (let ((_let_785 (REORDERING (CNF_OR_POS :args (_let_270)) :args ((or _let_80 _let_221 _let_265 (not _let_270)))))) (let ((_let_786 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_755 :args (tptp.a476 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_754)) :args _let_753)))) (let ((_let_787 (not _let_279))) (let ((_let_788 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_279)) :args ((or _let_109 _let_106 _let_103 _let_787))) _let_760 _let_759 _let_758 :args ((or _let_102 _let_787) true _let_103 true _let_106 true _let_109)))) (let ((_let_789 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_398 :args (tptp.a488 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_397)) :args _let_396)))) (let ((_let_790 (not _let_281))) (let ((_let_791 (_let_790))) (let ((_let_792 (MACRO_RESOLUTION_TRUST _let_457 _let_434 _let_432 _let_431 _let_430 :args ((or _let_79 _let_456 _let_433) false _let_265 true _let_80 false _let_166 false _let_168)))) (let ((_let_793 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_771)) :args ((or _let_109 _let_106 _let_694 (not _let_771)))) _let_761 _let_760 _let_759 _let_758 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp14 _let_284 _let_772 _let_773))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_260 (= U V)))) _let_380 _let_383 _let_382 _let_685 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_261 (= U U)))) _let_686 _let_462 _let_688 _let_792 _let_724 _let_426 _let_704 _let_703 _let_587 _let_590 _let_594 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_780)) :args ((or _let_779 _let_774 _let_776 (not _let_780)))) (REORDERING (CNF_OR_POS :args (_let_778)) :args ((or _let_775 _let_774 _let_777 (not _let_778)))) (CNF_OR_NEG :args (_let_781 2)) (CNF_OR_NEG :args (_let_781 1)) (CNF_OR_NEG :args (_let_781 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_791)) :args _let_791)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_790) _let_281))) (REFL :args ((not _let_781))) :args _let_360)) _let_789 _let_788 _let_757 _let_756 _let_786 _let_785 _let_457 _let_462 _let_463 _let_464 _let_784 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_668 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_667)) :args _let_666)) _let_782 _let_726 _let_372 _let_376 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_375 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_374)) :args _let_373)) _let_458 _let_455 _let_451 _let_430 _let_432 _let_431 _let_770 _let_503 _let_501 _let_497 :args ((or _let_284 _let_226 _let_711) true _let_776 true _let_774 true _let_775 true _let_779 true _let_781 true _let_281 true _let_279 false tptp.hskp14 true _let_274 true _let_273 true _let_270 true _let_265 false _let_267 false _let_261 false _let_258 true tptp.hskp17 false _let_780 false _let_253 false _let_248 true tptp.hskp0 false _let_238 false _let_778 true _let_225 true _let_224 true _let_223 false _let_168 true _let_80 false _let_166 false tptp.hskp9 true tptp.hskp12 false _let_220 false _let_219)) _let_706 _let_770 _let_503 _let_501 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_500 :args (tptp.a488 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_499)) :args _let_498)) _let_497 :args ((or _let_284 _let_226) true _let_694 true _let_103 true _let_106 true _let_109 false tptp.hskp14 true _let_773 true _let_260 true _let_303 false _let_158 false tptp.hskp3 true _let_772 true _let_471 true _let_261 true _let_508 true _let_267 false tptp.hskp21 false _let_419 false _let_696 false _let_693 false _let_228 false _let_230 true _let_231 true _let_235 true _let_702 false tptp.hskp9 true tptp.hskp12 false _let_220 false _let_771 false _let_219)))) (let ((_let_794 (not _let_236))) (let ((_let_795 (_let_794))) (let ((_let_796 (REFL :args (_let_245)))) (let ((_let_797 (not _let_272))) (let ((_let_798 (MACRO_RESOLUTION_TRUST _let_632 _let_635 _let_680 _let_789 _let_681 _let_788 _let_683 _let_757 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp27 tptp.hskp16 _let_284 _let_228))) _let_756 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_272)) :args ((or _let_117 _let_114 _let_271 _let_797))) (REORDERING (ASSUME :args (_let_116)) :args ((or _let_113 _let_115))) (REORDERING (ASSUME :args (_let_119)) :args ((or _let_113 _let_118))) (ASSUME :args (_let_177)) :args ((or _let_113 _let_797) true _let_114 true _let_117 false _let_176)) _let_786 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_639 :args (tptp.a493 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_638)) :args _let_637)) _let_785 _let_634 _let_457 _let_631 _let_462 _let_553 _let_630 _let_629 _let_463 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_379 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_378)) :args _let_377)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_495 :args (tptp.a500 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_494)) :args _let_493)) _let_464 (REORDERING (CNF_OR_POS :args (_let_257)) :args ((or _let_244 _let_240 _let_256 (not _let_257)))) (REORDERING (CNF_OR_POS :args (_let_255)) :args ((or _let_131 _let_232 _let_254 (not _let_255)))) _let_784 (REORDERING (CNF_OR_POS :args (_let_252)) :args ((or _let_242 _let_240 _let_251 (not _let_252)))) (REORDERING (CNF_OR_POS :args (_let_250)) :args ((or _let_131 _let_232 _let_249 (not _let_250)))) _let_782 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_729 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_728)) :args _let_727)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_729 :args (tptp.a500 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_728)) :args _let_727)) _let_662 _let_725 (CNF_OR_NEG :args (_let_245 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_245 1)) (CONG _let_796 (MACRO_SR_PRED_INTRO :args ((= (not _let_242) _let_241))) :args _let_360)) :args ((or _let_241 _let_245))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_245 0)) (CONG _let_796 (MACRO_SR_PRED_INTRO :args ((= (not _let_244) _let_243))) :args _let_360)) :args ((or _let_243 _let_245))) _let_660 _let_372 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_795)) :args _let_795)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_794) _let_236))) (REFL :args ((not _let_245))) :args _let_360)) _let_646 _let_376 _let_764 _let_594 _let_768 _let_767 _let_766 _let_590 _let_769 _let_587 _let_763 (MACRO_RESOLUTION_TRUST _let_762 _let_746 _let_745 _let_744 _let_743 _let_782 _let_784 _let_464 _let_463 _let_462 _let_792 _let_426 _let_704 _let_458 _let_455 _let_451 _let_770 _let_793 :args ((or _let_284 _let_421) true _let_698 true _let_699 true _let_700 true _let_701 true _let_248 true _let_253 false tptp.hskp17 true _let_258 true _let_261 true _let_267 false _let_419 false _let_696 true _let_225 true _let_224 true _let_223 false tptp.hskp9 false _let_226)) _let_659 _let_654 _let_793 _let_458 _let_455 _let_451 _let_432 _let_431 _let_430 _let_770 _let_503 _let_501 _let_497 :args (_let_284 true _let_283 true _let_282 true _let_281 true _let_280 true _let_279 true _let_278 false tptp.hskp14 false tptp.hskp27 true _let_274 true tptp.hskp16 true _let_273 false _let_272 true _let_270 false _let_269 true _let_265 false _let_268 false _let_267 true _let_264 true _let_263 true _let_262 false _let_261 true _let_260 true _let_259 false _let_258 true _let_257 true _let_255 true tptp.hskp17 false _let_251 false _let_249 false _let_253 false _let_252 false _let_250 false _let_248 false _let_247 true _let_240 false _let_241 false _let_243 false _let_246 true tptp.hskp0 true _let_245 true _let_239 false _let_238 true _let_236 false _let_235 true _let_234 true _let_131 false _let_178 false _let_231 false tptp.hskp18 true _let_230 true _let_229 true _let_228 true tptp.hskp2 false _let_227 false _let_226 true _let_225 true _let_224 true _let_223 true _let_80 false _let_166 false _let_168 false tptp.hskp9 true tptp.hskp12 false _let_220 false _let_219)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_215)) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_217)) :args ((or tptp.ndr1_0 _let_143))) _let_798 :args (_let_143 true tptp.ndr1_0)) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_218)) :args ((or tptp.ndr1_0 _let_207))) _let_798 :args (_let_207 true tptp.ndr1_0)) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_216)) :args ((or tptp.ndr1_0 _let_120))) _let_798 :args (_let_120 true tptp.ndr1_0)) :args (false true tptp.hskp22 true tptp.hskp27 true tptp.hskp17)) :args ((or tptp.hskp5 tptp.hskp11) (or _let_213 tptp.ndr1_0) _let_218 (or _let_200 tptp.ndr1_0) (or _let_193 tptp.ndr1_0) (or _let_151 tptp.ndr1_0) (or _let_144 tptp.ndr1_0) _let_217 (or _let_139 tptp.ndr1_0) (or _let_135 tptp.ndr1_0) (or _let_134 tptp.ndr1_0) (or _let_130 tptp.ndr1_0) _let_216 (or _let_113 tptp.ndr1_0) (or _let_112 tptp.ndr1_0) (or _let_102 tptp.ndr1_0) (or _let_101 tptp.ndr1_0) (or _let_91 tptp.ndr1_0) (or _let_84 tptp.ndr1_0) (or _let_83 tptp.ndr1_0) (or _let_79 tptp.ndr1_0) (or _let_75 tptp.ndr1_0) (or _let_68 tptp.ndr1_0) (or _let_61 tptp.ndr1_0) (or _let_60 tptp.ndr1_0) (or _let_59 tptp.ndr1_0) (or _let_55 tptp.ndr1_0) (or _let_45 tptp.ndr1_0) (or _let_38 tptp.ndr1_0) (or _let_31 tptp.ndr1_0) _let_215 (or tptp.hskp8 tptp.hskp15 tptp.hskp16) (or tptp.hskp25 tptp.hskp5 tptp.hskp14) _let_214 (or tptp.hskp21 tptp.hskp10 tptp.hskp6) (or tptp.hskp24 tptp.hskp15 tptp.hskp16) (or tptp.hskp20 tptp.hskp6 tptp.hskp12) (or _let_213 (tptp.c0_1 tptp.a490)) (or _let_213 (tptp.c1_1 tptp.a490)) (or _let_213 (tptp.c2_1 tptp.a490)) _let_212 _let_210 _let_208 _let_205 _let_203 _let_201 _let_198 _let_196 _let_194 (or _let_151 (tptp.c0_1 tptp.a540)) _let_191 (or _let_143 (tptp.c0_1 tptp.a524)) (or _let_143 (tptp.c1_1 tptp.a524)) _let_189 _let_187 _let_185 _let_183 (or _let_134 (tptp.c2_1 tptp.a502)) (or _let_134 (tptp.c3_1 tptp.a502)) _let_181 _let_179 _let_177 _let_175 _let_173 (or _let_101 (tptp.c0_1 tptp.a483)) (or _let_101 (tptp.c2_1 tptp.a483)) _let_171 (or _let_83 (tptp.c1_1 tptp.a477)) (or _let_83 (tptp.c2_1 tptp.a477)) _let_169 _let_167 _let_165 _let_163 _let_161 (or _let_61 (tptp.c2_1 tptp.a471)) (or _let_60 (tptp.c0_1 tptp.a468)) (or _let_60 (tptp.c3_1 tptp.a468)) (or _let_59 (tptp.c3_1 tptp.a467)) _let_159 _let_157 _let_155 _let_153 (or (not (tptp.c1_1 tptp.a540)) _let_151) (or (not (tptp.c2_1 tptp.a540)) _let_151) _let_150 _let_147 (or (not (tptp.c2_1 tptp.a524)) _let_143) _let_142 _let_138 (or (not (tptp.c0_1 tptp.a502)) _let_134) _let_133 _let_129 _let_126 _let_123 _let_119 _let_116 (or (not (tptp.c2_1 tptp.a492)) _let_112) _let_111 _let_108 _let_105 (or (not (tptp.c3_1 tptp.a483)) _let_101) _let_100 _let_97 _let_94 _let_90 _let_87 (or (not (tptp.c3_1 tptp.a477)) _let_83) _let_82 _let_78 _let_74 _let_71 _let_67 _let_64 (or (not (tptp.c2_1 tptp.a468)) _let_60) (or (not (tptp.c0_1 tptp.a467)) _let_59) (or (not (tptp.c1_1 tptp.a467)) _let_59) _let_58 _let_54 _let_51 _let_48 _let_44 _let_41 _let_37 _let_34 _let_30 _let_29 _let_28 _let_27 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp16 tptp.hskp17)) (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp7 tptp.hskp12)) _let_26 _let_25 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp19 tptp.hskp20)) _let_24 _let_23 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp27 tptp.hskp10)) _let_22 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp18 tptp.hskp20)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp15 tptp.hskp2)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp15 tptp.hskp12)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp26 tptp.hskp10)) _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp3)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp4)) (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.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp28)) _let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp5)) (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.c3_1 V) tptp.hskp4)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp8)) _let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) tptp.hskp9)) _let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp13)) _let_12 _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.c2_1 V) tptp.hskp10)) (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.c0_1 V) (tptp.c3_1 V) tptp.hskp11)) _let_10 _let_9 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp1)) _let_8 _let_7 _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.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V) tptp.hskp10)) _let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c3_1 W))) _let_4 _let_3 _let_2 _let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.64/0.89  )
% 0.64/0.90  % SZS output end Proof for SYN448-1
% 0.64/0.90  % cvc5---1.0.5 exiting
% 0.64/0.90  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------