TSTP Solution File: SYN503-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN503-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 0.53s 0.73s
% Output : Proof 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN503-1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 18:34:20 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.wysAb6BKU3/cvc5---1.0.5_3801.p...
% 0.19/0.51 ------- get file name : TPTP file name is SYN503-1
% 0.19/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3801.smt2...
% 0.19/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.53/0.73 % SZS status Unsatisfiable for SYN503-1
% 0.53/0.73 % SZS output start Proof for SYN503-1
% 0.53/0.76 (
% 0.53/0.76 (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (not (tptp.c0_1 W)) (not (tptp.c1_1 W)) (not (tptp.c2_1 W)))))) (let ((_let_2 (forall ((U $$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.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c0_1 W)) (not (tptp.c1_1 W)) (tptp.c3_1 V) (tptp.c2_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c1_1 W)) (tptp.c3_1 V) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_4 (forall ((U $$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.c1_1 V)) (not (tptp.c2_1 V)) (not (tptp.c0_1 W)) (tptp.c3_1 V) (tptp.c1_1 W) (tptp.c3_1 W))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c0_1 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c1_1 W) (tptp.c3_1 W))))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c0_1 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 W) (tptp.c2_1 W) (tptp.c3_1 W) (tptp.c0_1 V) (tptp.c1_1 V))))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp28)))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c1_1 V) tptp.hskp22)))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) tptp.hskp18)))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) tptp.hskp9)))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp5)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c2_1 U) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp5)))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp19)))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) tptp.hskp15)))) (let ((_let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp14)))) (let ((_let_19 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp10)))) (let ((_let_20 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp26)))) (let ((_let_21 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp8)))) (let ((_let_22 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp9)))) (let ((_let_23 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp8)))) (let ((_let_24 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp1)))) (let ((_let_25 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp7 tptp.hskp6)))) (let ((_let_26 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp3 tptp.hskp27)))) (let ((_let_27 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp15 tptp.hskp24)))) (let ((_let_28 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp3 tptp.hskp6)))) (let ((_let_29 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp26 tptp.hskp9)))) (let ((_let_30 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp12 tptp.hskp21)))) (let ((_let_31 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp18 tptp.hskp19)))) (let ((_let_32 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp3 tptp.hskp13)))) (let ((_let_33 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp3 tptp.hskp6)))) (let ((_let_34 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp27 tptp.hskp2)))) (let ((_let_35 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp21 tptp.hskp19)))) (let ((_let_36 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp0 tptp.hskp4)))) (let ((_let_37 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp3 tptp.hskp4)))) (let ((_let_38 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp0)))) (let ((_let_39 (not tptp.hskp0))) (let ((_let_40 (tptp.c3_1 tptp.a213))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_39))) (let ((_let_43 (tptp.c1_1 tptp.a213))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_39))) (let ((_let_46 (not tptp.hskp1))) (let ((_let_47 (tptp.c3_1 tptp.a214))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_46))) (let ((_let_50 (tptp.c0_1 tptp.a214))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_46))) (let ((_let_53 (not tptp.hskp2))) (let ((_let_54 (tptp.c1_1 tptp.a215))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_53))) (let ((_let_57 (tptp.c0_1 tptp.a215))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_53))) (let ((_let_60 (not tptp.hskp3))) (let ((_let_61 (tptp.c2_1 tptp.a216))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_60))) (let ((_let_64 (not tptp.hskp4))) (let ((_let_65 (tptp.c3_1 tptp.a217))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_64))) (let ((_let_68 (tptp.c2_1 tptp.a217))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_64))) (let ((_let_71 (tptp.c1_1 tptp.a217))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_64))) (let ((_let_74 (not tptp.hskp5))) (let ((_let_75 (tptp.c2_1 tptp.a218))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_74))) (let ((_let_78 (tptp.c1_1 tptp.a218))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_79 _let_74))) (let ((_let_81 (not tptp.hskp6))) (let ((_let_82 (tptp.c3_1 tptp.a220))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_83 _let_81))) (let ((_let_85 (not tptp.hskp7))) (let ((_let_86 (tptp.c0_1 tptp.a223))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_85))) (let ((_let_89 (not tptp.hskp8))) (let ((_let_90 (tptp.c2_1 tptp.a225))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_91 _let_89))) (let ((_let_93 (tptp.c0_1 tptp.a225))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_94 _let_89))) (let ((_let_96 (not tptp.hskp9))) (let ((_let_97 (tptp.c2_1 tptp.a226))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_98 _let_96))) (let ((_let_100 (tptp.c1_1 tptp.a226))) (let ((_let_101 (not _let_100))) (let ((_let_102 (or _let_101 _let_96))) (let ((_let_103 (not tptp.hskp10))) (let ((_let_104 (tptp.c0_1 tptp.a231))) (let ((_let_105 (not _let_104))) (let ((_let_106 (or _let_105 _let_103))) (let ((_let_107 (not tptp.hskp11))) (let ((_let_108 (not tptp.hskp12))) (let ((_let_109 (tptp.c3_1 tptp.a237))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_110 _let_108))) (let ((_let_112 (not tptp.hskp13))) (let ((_let_113 (tptp.c1_1 tptp.a239))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_114 _let_112))) (let ((_let_116 (not tptp.hskp14))) (let ((_let_117 (tptp.c1_1 tptp.a241))) (let ((_let_118 (not _let_117))) (let ((_let_119 (or _let_118 _let_116))) (let ((_let_120 (tptp.c0_1 tptp.a241))) (let ((_let_121 (not _let_120))) (let ((_let_122 (or _let_121 _let_116))) (let ((_let_123 (not tptp.hskp15))) (let ((_let_124 (tptp.c2_1 tptp.a242))) (let ((_let_125 (not _let_124))) (let ((_let_126 (or _let_125 _let_123))) (let ((_let_127 (tptp.c0_1 tptp.a242))) (let ((_let_128 (not _let_127))) (let ((_let_129 (or _let_128 _let_123))) (let ((_let_130 (not tptp.hskp16))) (let ((_let_131 (tptp.c3_1 tptp.a245))) (let ((_let_132 (not _let_131))) (let ((_let_133 (or _let_132 _let_130))) (let ((_let_134 (tptp.c1_1 tptp.a245))) (let ((_let_135 (not _let_134))) (let ((_let_136 (or _let_135 _let_130))) (let ((_let_137 (not tptp.hskp17))) (let ((_let_138 (not tptp.hskp18))) (let ((_let_139 (tptp.c1_1 tptp.a252))) (let ((_let_140 (not _let_139))) (let ((_let_141 (or _let_140 _let_138))) (let ((_let_142 (not tptp.hskp19))) (let ((_let_143 (tptp.c3_1 tptp.a255))) (let ((_let_144 (not _let_143))) (let 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(let ((_let_750 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_682 0)) (CONG (REFL :args (_let_682)) (MACRO_SR_PRED_INTRO :args ((= (not _let_514) _let_513))) :args _let_422)) :args ((or _let_513 _let_682))))) (let ((_let_751 (CNF_OR_NEG :args (_let_682 1)))) (let ((_let_752 (CNF_OR_NEG :args (_let_682 2)))) (let ((_let_753 (REORDERING (CNF_OR_POS :args (_let_517)) :args ((or _let_514 _let_512 _let_516 _let_683))))) (let ((_let_754 (REORDERING (CNF_OR_POS :args (_let_746)) :args ((or _let_671 _let_512 _let_515 (not _let_746)))))) (let ((_let_755 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_361 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_360)) :args _let_359)))) (let ((_let_756 (not _let_696))) (let ((_let_757 (REORDERING (ASSUME :args (_let_70)) :args ((or _let_64 _let_69))))) (let ((_let_758 (REORDERING (ASSUME :args (_let_67)) :args ((or _let_64 _let_66))))) (let ((_let_759 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_696)) :args ((or _let_71 _let_68 _let_65 _let_756))) _let_758 _let_757 (REORDERING (ASSUME :args (_let_73)) :args ((or _let_64 _let_72))) :args ((or _let_64 _let_756) true _let_65 true _let_68 true _let_71)))) (let ((_let_760 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_397 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_396)) :args _let_395)))) (let ((_let_761 (REORDERING (CNF_OR_POS :args (_let_653)) :args ((or _let_645 _let_643 _let_652 (not _let_653)))))) (let ((_let_762 (REORDERING (CNF_OR_POS :args (_let_664)) :args ((or _let_645 _let_643 _let_663 (not _let_664)))))) (let ((_let_763 (_let_666))) (let ((_let_764 ((not (= (tptp.c1_1 U) false))))) (let ((_let_765 (ASSUME :args _let_763))) (let ((_let_766 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_765 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_764)) :args _let_763)))) (let ((_let_767 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp26 _let_307 _let_666 _let_668))))) (let ((_let_768 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_670 (= V V)))))) (let ((_let_769 (_let_670))) (let ((_let_770 ((not (= (tptp.c3_1 V) false))))) (let ((_let_771 (ASSUME :args _let_769))) (let ((_let_772 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_771 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_770)) :args _let_769)))) (let ((_let_773 (not _let_306))) (let ((_let_774 (_let_773))) (let ((_let_775 (REORDERING (CNF_OR_POS :args (_let_672)) :args ((or _let_514 _let_671 _let_515 (not _let_672)))))) (let ((_let_776 (MACRO_RESOLUTION_TRUST _let_775 _let_753 _let_752 _let_751 _let_750 _let_749 _let_725 _let_727 _let_728 _let_729 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_732 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_731)) :args _let_730)) (REORDERING (CNF_OR_POS :args (_let_676)) :args ((or _let_661 _let_657 _let_658 (not _let_676)))) (REORDERING (CNF_OR_POS :args (_let_662)) :args ((or _let_661 _let_657 _let_659 (not _let_662)))) (CNF_OR_NEG :args (_let_675 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_675 0)) (CONG (REFL :args (_let_675)) (MACRO_SR_PRED_INTRO :args ((= (not _let_661) _let_660))) :args _let_422)) :args ((or _let_660 _let_675))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_774)) :args _let_774)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_773) _let_306))) (REFL :args ((not _let_675))) :args _let_422)) _let_742 _let_744 _let_772 _let_717 _let_768 _let_715 _let_767 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_712 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_711)) :args _let_710)) _let_766 (REORDERING (CNF_OR_POS :args (_let_665)) :args ((or _let_650 _let_649 _let_654 (not _let_665)))) _let_762 (REORDERING (CNF_OR_POS :args (_let_656)) :args ((or _let_650 _let_649 _let_655 (not _let_656)))) _let_761 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_385 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_384)) :args _let_383)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_397 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 U) true))))) :args _let_395)) _let_760 _let_591 _let_551 (MACRO_RESOLUTION_TRUST _let_429 _let_426 _let_456 _let_420 _let_625 _let_351 (REORDERING (CNF_OR_POS :args (_let_697)) :args ((or _let_40 _let_328 _let_435 (not _let_697)))) _let_357 _let_356 _let_355 _let_354 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp4 tptp.hskp0 _let_307 _let_647))) _let_759 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_732 :args (tptp.a213 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_731)) :args _let_730)) _let_729 _let_728 _let_727 _let_725 (MACRO_RESOLUTION_TRUST _let_625 _let_628 _let_356 _let_355 _let_354 _let_358 _let_755 _let_754 _let_456 _let_753 _let_714 _let_752 _let_751 _let_750 _let_716 _let_749 _let_718 :args ((or _let_307 _let_681 _let_648 _let_627 _let_683) false _let_435 true _let_40 true _let_43 false _let_179 false tptp.hskp0 true _let_333 true _let_746 false _let_437 true _let_515 false _let_298 true _let_512 true _let_671 false _let_513 false _let_703 true _let_682 true _let_704)) _let_745 _let_715 _let_717 _let_744 _let_636 _let_742 _let_641 _let_741 _let_421 _let_740 _let_739 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_615 :args (tptp.a226 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_614)) :args _let_613)) _let_735 (REORDERING (CNF_OR_POS :args (_let_694)) :args ((or _let_100 _let_97 _let_693 (not _let_694)))) _let_733 _let_700 _let_699 _let_698 _let_642 :args ((or tptp.hskp27 _let_96 _let_307 _let_647 _let_289 _let_648 _let_683) false _let_296 true _let_298 true _let_269 true _let_437 true _let_267 false _let_435 true _let_329 true _let_40 true _let_43 false _let_179 false tptp.hskp0 true tptp.hskp4 false _let_697 false _let_677 false _let_678 true tptp.hskp14 false _let_680 false _let_681 false _let_696 false _let_667 false _let_669 true tptp.hskp2 false _let_446 false _let_674 false _let_306 false _let_304 true _let_292 true _let_303 true _let_291 true _let_299 true _let_695 true _let_694 false _let_692 true _let_97 true _let_100 false _let_201 true _let_290)) (CNF_OR_NEG :args (_let_651 2)) (CNF_OR_NEG :args (_let_651 1)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_691)) :args _let_691)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_690) _let_518))) (REFL :args ((not _let_651))) :args _let_422)) _let_689 _let_594 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_518 (= U U)))) _let_688 _let_687 _let_686 :args ((or tptp.hskp27 tptp.hskp26 _let_307 _let_518 _let_289 _let_683) true _let_515 true _let_512 true _let_671 false _let_513 true _let_682 true _let_681 true _let_680 false tptp.hskp14 true _let_678 true _let_677 true _let_676 true _let_658 true _let_657 false _let_660 true _let_675 true _let_306 true _let_674 false _let_672 false tptp.hskp2 false _let_670 true _let_669 false _let_668 true _let_667 true _let_666 true _let_665 true _let_664 true _let_654 false _let_652 false _let_662 false _let_656 false _let_653 false _let_341 false _let_344 true tptp.hskp9 true _let_649 true _let_650 true _let_651 true _let_648 true _let_580 true _let_647 true _let_643 false _let_644 true _let_646)))) (let ((_let_777 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_267 (= U V)))))) (let ((_let_778 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_306 (= U V)))))) (let ((_let_779 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_306 (= U W)))))) (let ((_let_780 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_781 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_447 (= U U)))))) (let ((_let_782 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_547 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_546)) :args _let_545)))) (let ((_let_783 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_276 (= U U)))))) (let ((_let_784 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_785 (tptp.c3_1 tptp.a282))) (let ((_let_786 (not _let_785))) (let ((_let_787 (not _let_249))) (let ((_let_788 (not _let_254))) (let ((_let_789 (or _let_788 _let_787 _let_786))) (let ((_let_790 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_791 (not _let_252))) (let ((_let_792 (or _let_788 _let_791 _let_785))) (let ((_let_793 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_265 (= U W)))))) (let ((_let_794 (_let_265))) (let ((_let_795 ((not (= (tptp.c0_1 U) false))))) (let ((_let_796 (ASSUME :args _let_794))) (let ((_let_797 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_796 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_795)) :args _let_794)))) (let ((_let_798 (not _let_494))) (let ((_let_799 (not _let_489))) (let ((_let_800 (REFL :args (_let_495)))) (let ((_let_801 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_494)) :args ((or _let_488 _let_493 _let_485 _let_798))) (REORDERING (CNF_OR_POS :args (_let_489)) :args ((or _let_488 _let_484 _let_486 _let_799))) (CNF_OR_NEG :args (_let_495 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_495 1)) (CONG _let_800 (MACRO_SR_PRED_INTRO :args ((= (not _let_484) _let_483))) :args _let_422)) :args ((or _let_483 _let_495))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_495 0)) (CONG _let_800 (MACRO_SR_PRED_INTRO :args ((= (not _let_488) _let_487))) :args _let_422)) :args ((or _let_487 _let_495))) :args ((or _let_495 _let_799 _let_798) true _let_485 true _let_493 false _let_483 false _let_487)))) (let ((_let_802 (not _let_499))) (let ((_let_803 (_let_802))) (let ((_let_804 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_803)) :args _let_803)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_802) _let_499))) (REFL :args ((not _let_495))) :args _let_422)))) (let ((_let_805 (_let_499))) (let ((_let_806 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_805) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_805)))) (let ((_let_807 (REORDERING (CNF_OR_POS :args (_let_500)) :args ((or _let_294 _let_279 _let_280 (not _let_500)))))) (let ((_let_808 (REORDERING (CNF_OR_POS :args (_let_503)) :args ((or _let_294 _let_279 _let_281 (not _let_503)))))) (let ((_let_809 (_let_504))) (let ((_let_810 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_809) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_809)))) (let ((_let_811 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_504 (= U U)))))) (let ((_let_812 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp5 _let_307 _let_505 _let_482))))) (let ((_let_813 (not _let_507))) (let ((_let_814 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_507)) :args ((or _let_78 _let_75 _let_506 _let_813))) (REORDERING (ASSUME :args (_let_77)) :args ((or _let_74 _let_76))) (REORDERING (ASSUME :args (_let_80)) :args ((or _let_74 _let_79))) (ASSUME :args (_let_190)) :args ((or _let_74 _let_813) true _let_75 true _let_78 false _let_189)))) (let ((_let_815 ((not (= (tptp.c3_1 V) false))))) (let ((_let_816 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_615 :args (tptp.a218 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_815)) :args _let_613)))) (let ((_let_817 (MACRO_RESOLUTION_TRUST _let_576 _let_542 _let_378 _let_377 _let_474 :args ((or _let_138 _let_541 _let_575) true _let_325 true _let_139 false _let_221 false _let_223)))) (let ((_let_818 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_780 _let_779 _let_781 _let_636 _let_548 _let_628 _let_817 _let_625 _let_617 _let_356 _let_355 _let_354 _let_618 _let_358 _let_620 _let_362 (MACRO_RESOLUTION_TRUST _let_816 _let_814 _let_740 _let_812 _let_741 _let_811 _let_642 _let_810 _let_640 _let_808 _let_632 _let_807 _let_626 _let_806 _let_624 _let_804 _let_622 _let_801 _let_418 _let_797 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_344 (= U V)))) _let_793 (MACRO_RESOLUTION_TRUST _let_642 _let_741 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_639 :args (tptp.a282 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_638)) :args _let_637)) _let_740 (REORDERING (CNF_OR_POS :args (_let_792)) :args ((or _let_788 _let_791 _let_785 (not _let_792)))) (REORDERING (CNF_OR_POS :args (_let_789)) :args ((or _let_788 _let_787 _let_786 (not _let_789)))) _let_816 (ASSUME :args (_let_251)) (ASSUME :args (_let_253)) (ASSUME :args (_let_255)) _let_814 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp28 _let_307 _let_790 _let_492))) _let_812 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_504 (= U U)))) _let_811 _let_810 _let_808 _let_807 _let_806 _let_804 _let_801 _let_782 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_547 :args (tptp.a282 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_546)) :args _let_545)) _let_781 _let_780 _let_779 _let_641 _let_778 _let_636 _let_628 _let_625 _let_456 _let_797 _let_429 _let_793 _let_426 _let_784 _let_420 _let_777 _let_351 _let_357 _let_356 _let_355 _let_354 :args ((or _let_39 _let_307 _let_492 _let_275 _let_292 _let_324 _let_294 _let_279) false _let_290 true _let_289 true _let_303 true _let_792 true _let_785 true _let_299 false _let_249 false _let_252 false _let_254 true _let_507 false tptp.hskp28 false tptp.hskp5 true _let_790 true _let_505 true _let_504 true _let_503 false _let_280 false _let_500 false _let_499 false _let_495 false _let_489 false _let_789 false _let_447 false _let_448 true _let_449 true _let_304 true _let_482 true _let_306 true _let_446 true _let_435 false _let_437 false _let_494 false _let_298 false _let_265 false _let_296 false _let_266 true _let_269 true _let_268 true _let_267 true _let_329 true _let_40 true _let_43 false _let_179)) _let_784 _let_783 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_603 :args (tptp.a234 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_602)) :args _let_601)) (REORDERING (CNF_OR_POS :args (_let_491)) :args ((or _let_490 _let_479 _let_478 (not _let_491)))) _let_553 (MACRO_RESOLUTION_TRUST _let_611 _let_616 _let_609 _let_740 _let_600 _let_741 _let_776 _let_642 _let_640 _let_632 _let_626 _let_624 _let_622 _let_621 _let_418 _let_551 _let_367 _let_366 :args ((or tptp.hskp16 tptp.hskp27 tptp.hskp26 _let_157 tptp.hskp9 _let_307 _let_304 _let_509) false _let_522 false _let_519 false _let_299 false _let_520 false _let_303 false _let_518 true _let_290 true _let_289 true _let_502 false tptp.hskp12 true tptp.hskp13 false _let_498 false _let_517 false _let_342 false _let_344 true _let_158 true _let_161)) _let_782 _let_781 _let_780 _let_779 _let_641 _let_778 _let_636 _let_777 _let_628 _let_351 _let_625 _let_357 _let_356 _let_355 _let_354 _let_358 _let_362 _let_368 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_481 1)) (CONG (REFL :args _let_554) (MACRO_SR_PRED_INTRO :args ((= (not _let_479) _let_235))) :args _let_422)) :args ((or _let_235 _let_481))) (REORDERING (CNF_OR_NEG :args (_let_481 2)) :args ((or _let_510 _let_481))) (MACRO_RESOLUTION_TRUST _let_611 _let_616 _let_609 _let_740 _let_600 _let_741 _let_776 _let_642 _let_641 _let_640 _let_636 _let_632 _let_628 _let_626 _let_625 _let_459 _let_456 _let_455 _let_454 _let_429 _let_426 _let_624 _let_420 _let_622 _let_621 _let_351 _let_418 _let_357 _let_356 _let_355 _let_354 _let_551 _let_358 _let_620 _let_555 _let_362 _let_618 _let_559 _let_368 _let_367 _let_366 _let_617 _let_375 (MACRO_RESOLUTION_TRUST _let_426 _let_420 _let_429 _let_350 _let_457 _let_381 _let_576 (REORDERING (CNF_OR_NEG :args (_let_524 2)) :args ((or _let_339 _let_524))) _let_574 _let_378 _let_377 _let_474 :args ((or _let_138 tptp.hskp9 _let_307 _let_292 _let_523) true _let_269 true _let_296 true _let_267 true _let_298 true _let_327 true _let_439 true _let_325 true _let_524 true _let_139 false _let_221 false _let_223)) :args ((or tptp.hskp9 _let_307 _let_292 _let_523) false _let_522 false _let_519 false _let_299 false _let_520 false _let_303 false _let_518 true _let_290 true _let_304 true _let_289 true _let_306 true _let_502 true _let_446 false tptp.hskp12 true _let_435 true tptp.hskp16 false _let_437 false _let_434 false _let_431 false _let_298 false _let_296 true tptp.hskp13 true _let_269 false _let_498 false _let_517 true _let_267 false _let_342 true _let_329 true _let_40 true _let_43 false _let_179 false _let_344 false tptp.hskp0 true tptp.hskp27 true tptp.hskp26 true _let_333 false _let_444 false _let_511 true _let_334 true _let_158 true _let_161 false _let_314 false tptp.hskp22 true tptp.hskp18)) :args ((or tptp.hskp16 tptp.hskp27 _let_157 tptp.hskp9 _let_307 _let_292 _let_324 _let_294 _let_279 _let_509 _let_508) true _let_507 false _let_299 false tptp.hskp5 false _let_303 true _let_505 true _let_290 true _let_504 true _let_289 true _let_503 true _let_502 false _let_280 false tptp.hskp12 false _let_500 true tptp.hskp13 false _let_499 false _let_498 false _let_495 false _let_342 false _let_494 false _let_344 false _let_265 false _let_492 false _let_266 true _let_275 true _let_276 true _let_491 false _let_238 false tptp.hskp26 false _let_489 false _let_447 false _let_448 true _let_449 true _let_304 true _let_482 true _let_306 true _let_268 true _let_446 true _let_267 true _let_435 true _let_329 true _let_40 true _let_43 false _let_179 false tptp.hskp0 true _let_333 true _let_334 false _let_235 true _let_478 true _let_481)) _let_368 (MACRO_RESOLUTION_TRUST _let_477 _let_476 _let_378 _let_377 _let_474 _let_473 _let_375 _let_472 :args ((or tptp.hskp22 tptp.hskp9 _let_307 _let_440) false _let_471 true _let_139 false _let_221 false _let_223 false _let_470 false tptp.hskp18 false _let_469)) _let_468 _let_467 _let_465 _let_460 _let_459 _let_457 _let_456 _let_455 _let_454 :args ((or tptp.hskp9 _let_307 _let_292 _let_324 _let_450 _let_294 _let_279) true _let_449 true _let_448 true _let_306 true _let_447 true _let_446 true _let_445 true _let_435 false tptp.hskp18 true _let_40 true _let_43 false _let_179 true _let_314 false tptp.hskp0 true _let_444 true _let_333 false tptp.hskp27 true _let_334 false tptp.hskp22 true _let_440 true _let_317 true _let_316 false tptp.hskp3 true tptp.hskp16 false _let_439 false _let_437 false _let_434 false _let_431)) _let_429 _let_428 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_295 0)) (CONG _let_427 (MACRO_SR_PRED_INTRO :args ((= (not _let_294) _let_293))) :args _let_422)) :args ((or _let_293 _let_295))) _let_426 _let_425 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_291 (= U V)))) _let_421 _let_420 _let_419 :args ((or tptp.hskp9 _let_307 _let_291) false _let_298 false _let_278 false _let_293 false _let_296 true _let_295 true _let_324 true _let_292 true _let_269 true _let_267)))) (let ((_let_819 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_738 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_737)) :args _let_736)))) (let ((_let_820 (forall ((W $$unsorted)) (or (not (tptp.c0_1 W)) (tptp.c1_1 W) (tptp.c3_1 W))))) (let ((_let_821 (not _let_225))) (let ((_let_822 (not _let_227))) (let ((_let_823 (or _let_822 _let_821 _let_154))) (let ((_let_824 (not _let_207))) (let ((_let_825 (or _let_433 _let_824 _let_109))) (let ((_let_826 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (tptp.c3_1 U))))) (let ((_let_827 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_828 (not _let_827))) (let ((_let_829 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_830 (not _let_829))) (let ((_let_831 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_832 (not _let_831))) (let ((_let_833 (or _let_832 _let_830 _let_828))) (let ((_let_834 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c0_1 U) (tptp.c3_1 U))))) (let ((_let_835 (tptp.c0_1 tptp.a220))) (let ((_let_836 (not _let_193))) (let ((_let_837 (or _let_836 _let_835 _let_82))) (let ((_let_838 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_839 (or _let_832 _let_838 _let_827))) (let ((_let_840 (or _let_832 _let_830 _let_838))) (let ((_let_841 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_842 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_843 (or _let_842 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26) _let_841))) (let ((_let_844 (not _let_195))) (let ((_let_845 (not _let_197))) (let ((_let_846 (or _let_845 _let_844 _let_86))) (let ((_let_847 (not _let_191))) (let ((_let_848 (or _let_836 _let_847 _let_82))) (let ((_let_849 (not _let_835))) (let ((_let_850 (or _let_849 _let_836 _let_82))) (let ((_let_851 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_852 (not _let_851))) (let ((_let_853 (or _let_852 _let_842 _let_841))) (let ((_let_854 (or _let_842 _let_841 _let_851))) (let ((_let_855 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_738 :args (tptp.a259 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_737)) :args _let_736)))) (let ((_let_856 (not _let_823))) (let ((_let_857 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_823)) :args ((or _let_154 _let_822 _let_821 _let_856))) (REORDERING (ASSUME :args (_let_156)) :args ((or _let_153 _let_155))) (ASSUME :args (_let_226)) (ASSUME :args (_let_228)) :args ((or _let_153 _let_856) true _let_154 false _let_225 false _let_227)))) (let ((_let_858 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp21 tptp.hskp12 _let_307 _let_267))))) (let ((_let_859 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_289 (= U V)))))) (let ((_let_860 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_317 (= U W)))))) (let ((_let_861 (not _let_317))) (let ((_let_862 (_let_861))) (let ((_let_863 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_862)) :args _let_862)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_861) _let_317))) (REFL :args ((not _let_321))) :args _let_422)))) (let ((_let_864 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_865 (or _let_320 _let_308 _let_309))) (let ((_let_866 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_738 :args (tptp.a234 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_737)) :args _let_736)))) (let ((_let_867 (not _let_313))) (let ((_let_868 (not _let_865))) (let ((_let_869 (REFL :args (_let_321)))) (let ((_let_870 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_321 0)) (CONG _let_869 (MACRO_SR_PRED_INTRO :args ((= (not _let_312) _let_311))) :args _let_422)) :args ((or _let_311 _let_321))))) (let ((_let_871 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_321 1)) (CONG _let_869 (MACRO_SR_PRED_INTRO :args ((= (not _let_320) _let_319))) :args _let_422)) :args ((or _let_319 _let_321))))) (let ((_let_872 (CNF_OR_NEG :args (_let_321 2)))) (let ((_let_873 (REORDERING (CNF_OR_POS :args (_let_313)) :args ((or _let_312 _let_308 _let_310 _let_867))))) (let ((_let_874 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_397 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_396)) :args _let_395)) _let_551 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_865)) :args ((or _let_320 _let_308 _let_309 _let_868))) _let_873 _let_872 _let_871 _let_870 :args ((or _let_321 _let_868 _let_867) true _let_309 true _let_308 false _let_319 false _let_311)) _let_555 _let_819 _let_866 :args ((or tptp.hskp9 _let_307 _let_423 _let_321 _let_552) false _let_344 true _let_865 true tptp.hskp26 false _let_313 false _let_481)))) (let ((_let_875 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_314 (= U U)))))) (let ((_let_876 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_298 (= U W)))))) (let ((_let_877 (_let_826))) (let ((_let_878 ((not (= (tptp.c0_1 U) false))))) (let ((_let_879 (ASSUME :args _let_877))) (let ((_let_880 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_557)) :args _let_556)))) (let ((_let_881 (tptp.c1_1 tptp.a320))) (let ((_let_882 (not _let_881))) (let ((_let_883 (or _let_882 _let_337 _let_336))) (let ((_let_884 (or _let_337 _let_336 _let_881))) (let ((_let_885 (or _let_149 _let_146 _let_143))) (let ((_let_886 (forall ((U $$unsorted)) (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c3_1 U))))) (let ((_let_887 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V))))) (let ((_let_888 (not _let_199))) (let ((_let_889 (or _let_888 _let_93 _let_90))) (let ((_let_890 (tptp.c0_1 tptp.a217))) (let ((_let_891 (or _let_890 _let_68 _let_65))) (let ((_let_892 (not _let_890))) (let ((_let_893 (or _let_892 _let_68 _let_65))) (let ((_let_894 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_895 (not _let_181))) (let ((_let_896 (or _let_895 _let_50 _let_47))) (let ((_let_897 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_879 :args (tptp.a252 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_878)) :args _let_877)))) (let ((_let_898 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)))))) (let ((_let_899 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c3_1 V))))) (let ((_let_900 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_314 (= U U)))))) (let ((_let_901 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_902 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_666 (= U V)))))) (let ((_let_903 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_765 :args (tptp.a220 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_764)) :args _let_763)))) (let ((_let_904 (not _let_848))) (let ((_let_905 (ASSUME :args (_let_194)))) (let ((_let_906 (REORDERING (ASSUME :args (_let_84)) :args ((or _let_81 _let_83))))) (let ((_let_907 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_848)) :args ((or _let_82 _let_836 _let_847 _let_904))) _let_906 (ASSUME :args (_let_192)) _let_905 :args ((or _let_81 _let_904) true _let_82 false _let_191 false _let_193)))) (let ((_let_908 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp3 tptp.hskp6 _let_307 _let_405))) _let_550 _let_907 _let_570 _let_903 _let_587 _let_902 _let_568 _let_567 _let_566 _let_901 _let_563 _let_560 _let_900 _let_876 _let_454 _let_459 _let_460 :args ((or tptp.hskp3 _let_307 _let_314) true _let_405 true tptp.hskp6 true _let_531 false _let_848 true _let_526 false _let_666 false _let_527 false _let_533 false _let_529 false _let_899 true _let_535 true _let_532 true _let_898 true _let_820 true _let_298 true _let_431 false tptp.hskp16)))) (let ((_let_909 (not _let_883))) (let ((_let_910 (not _let_884))) (let ((_let_911 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp3 tptp.hskp13 _let_307 _let_834))))) (let ((_let_912 (_let_834))) (let ((_let_913 ((not (= (tptp.c1_1 U) false))))) (let ((_let_914 (ASSUME :args _let_912))) (let ((_let_915 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_914 :args (tptp.a220 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_913)) :args _let_912)))) (let ((_let_916 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_914 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_913)) :args _let_912)))) (let ((_let_917 (REORDERING (CNF_OR_POS :args (_let_885)) :args ((or _let_149 _let_146 _let_143 (not _let_885)))))) (let ((_let_918 (not _let_839))) (let ((_let_919 (not _let_833))) (let ((_let_920 (REFL :args (_let_840)))) (let ((_let_921 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_839)) :args ((or _let_832 _let_838 _let_827 _let_918))) (REORDERING (CNF_OR_POS :args (_let_833)) :args ((or _let_832 _let_830 _let_828 _let_919))) (CNF_OR_NEG :args (_let_840 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_840 1)) (CONG _let_920 (MACRO_SR_PRED_INTRO 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_let_849 (not _let_850)))))) (let ((_let_935 (MACRO_RESOLUTION_TRUST _let_559 _let_900 _let_555 _let_901 _let_767 _let_902 :args ((or _let_307 _let_666 _let_668 _let_820 _let_523) false _let_314 true _let_511 false _let_898 false tptp.hskp26 true _let_899)))) (let ((_let_936 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_639 :args (tptp.a220 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_638)) :args _let_637)))) (let ((_let_937 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_771 :args (tptp.a225 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_770)) :args _let_769)))) (let ((_let_938 (not _let_889))) (let ((_let_939 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_889)) :args ((or _let_93 _let_90 _let_888 _let_938))) (REORDERING (ASSUME :args (_let_92)) :args ((or _let_89 _let_91))) (REORDERING (ASSUME :args (_let_95)) :args ((or _let_89 _let_94))) (ASSUME :args (_let_200)) :args ((or _let_89 _let_938) true _let_90 true _let_93 false _let_199)))) (let ((_let_940 (not _let_891))) (let ((_let_941 (not _let_893))) (let ((_let_942 (or _let_514 _let_512 _let_515))) (let ((_let_943 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_944 (forall ((V $$unsorted)) (or (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_945 (MACRO_RESOLUTION_TRUST _let_713 _let_709 _let_735 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_667 (= U V)))) _let_700 _let_699 _let_698 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp8 _let_307 _let_943 _let_944))) _let_551 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_344 (= U U)))) :args ((or tptp.hskp26 tptp.hskp8 _let_307 _let_344 _let_734) true _let_702 true _let_692 false _let_667 true _let_97 true _let_100 false _let_201 false _let_944 false tptp.hskp9 true _let_943)))) (let ((_let_946 (MACRO_RESOLUTION_TRUST _let_426 _let_421 _let_429 _let_739 _let_456 _let_945 _let_625 _let_760 _let_628 _let_761 _let_636 _let_420 _let_762 _let_641 _let_351 _let_766 _let_741 _let_357 _let_356 _let_355 _let_354 _let_767 _let_740 _let_358 _let_768 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_615 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_815)) :args _let_613)) _let_755 _let_772 (REORDERING (CNF_OR_POS :args (_let_942)) :args ((or _let_514 _let_512 _let_515 (not _let_942)))) _let_754 _let_775 _let_753 _let_752 _let_751 _let_750 :args ((or tptp.hskp26 tptp.hskp8 _let_307 _let_290 _let_645 _let_643 _let_682 _let_683) true _let_292 true _let_296 true _let_291 true _let_298 true _let_695 true _let_437 true _let_344 false _let_435 true _let_653 false _let_446 true _let_269 true _let_652 false _let_306 true _let_267 false _let_664 false _let_304 true _let_329 true _let_40 true _let_43 false _let_179 false _let_666 true _let_303 false tptp.hskp0 true _let_668 true _let_299 true _let_333 true _let_670 true _let_942 true _let_746 true _let_672 true _let_515 true _let_512 true _let_671 false _let_513)))) (let ((_let_947 (_let_894))) (let ((_let_948 (ASSUME :args _let_947))) (let ((_let_949 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp1 _let_307 _let_894 _let_887))))) (let ((_let_950 (ASSUME :args (_let_182)))) (let ((_let_951 (REORDERING (ASSUME :args (_let_52)) :args ((or _let_46 _let_51))))) (let ((_let_952 (REORDERING (ASSUME :args (_let_49)) :args ((or _let_46 _let_48))))) (let ((_let_953 (REORDERING (CNF_OR_POS :args (_let_896)) :args ((or _let_50 _let_47 _let_895 (not _let_896)))))) (let ((_let_954 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_732 :args (tptp.a214 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_731)) :args _let_730)))) (let ((_let_955 (not _let_333))) (let ((_let_956 (_let_955))) (let ((_let_957 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_323)) :args ((or _let_312 _let_320 _let_309 (not _let_323)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_639 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_638)) :args _let_637)) _let_873 _let_859 _let_872 _let_871 _let_870 _let_864 _let_863 _let_860 _let_467 _let_465 _let_908 _let_875 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_854)) :args ((or _let_842 _let_841 _let_851 (not _let_854)))) (REORDERING (CNF_OR_POS :args (_let_853)) :args ((or _let_842 _let_841 _let_852 (not _let_853)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_598 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_597)) :args _let_596)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_771 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_770)) :args _let_769)) _let_776 _let_768 _let_936 _let_935 _let_934 _let_903 _let_933 _let_907 _let_906 _let_905 _let_932 _let_931 _let_929 (CNF_OR_NEG :args (_let_843 2)) (CNF_OR_NEG :args (_let_843 0)) _let_926 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_956)) :args _let_956)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_955) _let_333))) (REFL :args ((not _let_843))) :args _let_422)) _let_921 _let_362 _let_916 _let_915 _let_368 _let_911 _let_375 _let_624 (MACRO_RESOLUTION_TRUST _let_729 _let_954 _let_728 _let_953 _let_727 _let_952 _let_951 _let_950 _let_725 _let_949 _let_749 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_948 :args (tptp.a217 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 U) true))))) :args _let_947)) _let_946 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_893)) :args ((or _let_68 _let_65 _let_892 _let_941))) (REORDERING (CNF_OR_POS :args (_let_891)) :args ((or _let_68 _let_65 _let_890 _let_940))) :args ((or _let_68 _let_65 _let_941 _let_940) false _let_890)) _let_939 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_598 :args (tptp.a217 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 U) true))))) :args _let_596)) _let_688 _let_687 _let_937 _let_776 _let_686 _let_642 _let_768 _let_936 _let_935 _let_934 _let_903 _let_933 _let_907 _let_906 _let_905 _let_932 _let_931 _let_758 _let_757 _let_929 _let_928 _let_927 _let_926 _let_923 _let_921 _let_917 _let_916 _let_915 _let_373 _let_372 _let_371 _let_911 _let_376 _let_624 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_884)) :args ((or _let_337 _let_336 _let_881 _let_910))) (REORDERING (CNF_OR_POS :args (_let_883)) :args ((or _let_337 _let_336 _let_882 _let_909))) _let_380 _let_379 :args ((or _let_175 _let_910 _let_909) true _let_881 false _let_231 false _let_233)) _let_622 _let_621 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_388 :args (tptp.a320 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_387)) :args _let_386)) _let_418 _let_551 _let_620 _let_555 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (tptp.a320 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_557)) :args _let_556)) _let_618 _let_880 _let_559 _let_908 _let_897 _let_574 _let_866 _let_421 _let_426 _let_876 _let_429 _let_454 _let_459 _let_460 _let_420 _let_419 :args ((or tptp.hskp3 _let_138 tptp.hskp9 _let_307) true _let_677 false _let_678 true _let_896 true tptp.hskp14 true _let_47 true _let_50 false _let_181 false _let_680 false tptp.hskp1 false _let_681 true _let_894 false _let_682 true _let_893 true tptp.hskp8 false _let_891 true _let_643 false _let_644 false _let_889 false _let_518 true _let_646 true _let_290 false _let_670 true _let_289 false _let_668 true _let_850 true _let_666 false _let_835 true _let_848 true _let_82 false _let_193 false tptp.hskp6 true tptp.hskp7 true _let_65 true _let_68 false _let_846 false tptp.hskp4 true _let_887 false _let_579 true _let_886 false _let_840 true _let_885 false _let_839 false _let_837 true _let_143 true _let_146 true _let_149 false _let_834 false tptp.hskp19 true tptp.hskp13 true tptp.hskp25 false _let_498 false _let_517 false _let_884 false _let_342 false _let_344 true tptp.hskp27 true tptp.hskp26 false _let_883 false _let_444 false _let_833 false _let_511 false _let_314 true _let_826 true _let_524 false _let_481 false _let_291 false _let_292 true _let_820 true _let_296 true _let_298 true _let_431 false tptp.hskp16 true _let_269 true _let_267)) _let_622 _let_621 _let_465 _let_418 _let_467 _let_551 _let_863 _let_620 _let_555 _let_874 _let_618 _let_880 _let_559 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_879 :args (tptp.a237 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_878)) :args _let_877)) (REORDERING (CNF_OR_POS :args (_let_825)) :args ((or _let_109 _let_433 _let_824 (not _let_825)))) _let_630 (ASSUME :args (_let_208)) _let_631 _let_858 _let_419 _let_857 _let_855 _let_866 _let_818 _let_876 (MACRO_RESOLUTION_TRUST _let_559 _let_875 _let_874 _let_864 _let_863 _let_860 _let_467 _let_859 _let_465 _let_640 _let_460 _let_632 _let_459 _let_455 _let_454 _let_858 _let_419 _let_857 _let_855 _let_818 :args ((or tptp.hskp9 _let_307 _let_450) false _let_314 true _let_511 false _let_315 true _let_321 true _let_318 true _let_317 true _let_322 true _let_316 true _let_289 false tptp.hskp3 true _let_502 true tptp.hskp16 false _let_434 false _let_431 false tptp.hskp12 true _let_267 true tptp.hskp21 false _let_823 false _let_291)) :args ((or tptp.hskp9 _let_307 _let_561) true _let_851 false _let_854 false _let_853 false _let_518 false _let_670 true _let_289 false _let_668 true _let_850 true _let_666 false _let_835 true _let_848 true _let_82 false _let_193 false tptp.hskp6 true tptp.hskp7 false _let_846 true _let_841 true _let_842 false _let_579 true _let_843 false _let_840 true _let_333 false _let_839 false _let_837 true _let_334 false _let_834 false tptp.hskp22 true tptp.hskp13 true tptp.hskp18 false _let_498 false _let_517 true tptp.hskp3 false _let_342 false _let_316 false _let_344 false _let_317 true tptp.hskp27 true tptp.hskp26 false _let_321 false _let_444 false _let_833 false _let_511 true _let_826 true _let_825 false _let_209 false _let_207 true _let_109 false tptp.hskp12 true _let_267 true tptp.hskp21 false _let_823 false _let_481 false _let_291 true _let_820 true _let_298)) _let_819 _let_818 :args ((or tptp.hskp9 _let_307) false _let_323 true _let_309 false _let_289 true _let_308 false _let_319 false _let_311 false _let_322 true _let_321 true _let_318 true _let_317 true _let_316 false tptp.hskp3 true _let_315 true _let_314 false _let_313 false _let_291)))) (let ((_let_958 (REORDERING (CNF_OR_POS :args (_let_264)) :args ((or _let_100 _let_97 _let_263 (not _let_264)))))) (let ((_let_959 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_796 :args (tptp.a226 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_795)) :args _let_794)))) (let ((_let_960 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_961 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_962 (not _let_961))) (let ((_let_963 (or _let_962 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) _let_960))) (let ((_let_964 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_965 (not _let_964))) (let ((_let_966 (or _let_962 _let_965 _let_960))) (let ((_let_967 (or _let_962 _let_960 _let_964))) (let ((_let_968 (forall ((V $$unsorted)) (or (not (tptp.c1_1 V)) (tptp.c0_1 V) (tptp.c2_1 V))))) (let ((_let_969 (or _let_393 _let_127 _let_124))) (let ((_let_970 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_639 :args (tptp.a216 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_638)) :args _let_637)))) (let ((_let_971 (REORDERING (CNF_OR_POS :args (_let_288)) :args ((or _let_287 _let_285 _let_283 (not _let_288)))))) (let ((_let_972 (REORDERING (CNF_OR_POS :args (_let_286)) :args ((or _let_61 _let_285 _let_284 (not _let_286)))))) (let ((_let_973 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_603 :args (tptp.a216 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_602)) :args _let_601)))) (let ((_let_974 (MACRO_RESOLUTION_TRUST _let_368 _let_362 _let_472 _let_358 _let_473 _let_357 _let_476 _let_351 _let_477 _let_777 _let_378 _let_377 _let_474 _let_784 _let_595 _let_783 _let_973 _let_972 _let_971 _let_970 _let_859 _let_592 _let_864 _let_550 _let_860 _let_468 _let_570 _let_467 _let_587 _let_465 _let_464 _let_463 _let_462 _let_568 _let_567 _let_566 _let_908 _let_563 _let_560 _let_875 _let_793 _let_959 _let_958 _let_700 _let_698 _let_699 _let_957 :args ((or _let_307 _let_314) false _let_334 false tptp.hskp22 false _let_333 true _let_469 true tptp.hskp0 true _let_470 false _let_329 true _let_471 false _let_267 true _let_139 false _let_221 false _let_223 false _let_268 false tptp.hskp18 true _let_275 true _let_276 true _let_286 false _let_283 false _let_288 false _let_289 true _let_581 false _let_322 true _let_405 true _let_318 true _let_440 true _let_531 true _let_317 true _let_526 true _let_316 true _let_61 false _let_185 false _let_187 false _let_527 false _let_533 false _let_529 false tptp.hskp3 true _let_535 true _let_532 true _let_315 true _let_266 true _let_265 true _let_264 true _let_97 false _let_201 true _let_100 false tptp.hskp9)))) (let ((_let_975 (not _let_203))) (let ((_let_976 (tptp.c2_1 tptp.a231))) (let ((_let_977 (not _let_976))) (let ((_let_978 (not _let_205))) (let ((_let_979 (or _let_978 _let_977 _let_975))) (let ((_let_980 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (tptp.c1_1 U))))) (let ((_let_981 (forall ((U $$unsorted)) (or (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_982 (or _let_975 _let_104 _let_976))) (let ((_let_983 (not _let_265))) (let ((_let_984 (_let_983))) (let ((_let_985 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_984)) :args _let_984)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_983) _let_265))) (REFL :args ((not _let_963))) :args _let_422)))) (let ((_let_986 (CNF_OR_NEG :args (_let_963 2)))) (let ((_let_987 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_963 0)) (CONG (REFL :args (_let_963)) (MACRO_SR_PRED_INTRO :args ((= (not _let_962) _let_961))) :args _let_422)) :args ((or _let_961 _let_963))))) (let ((_let_988 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_989 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_990 (not _let_989))) (let ((_let_991 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_992 (not _let_991))) (let ((_let_993 (or _let_992 _let_990 _let_988))) (let ((_let_994 (or _let_285 _let_61 _let_283))) (let ((_let_995 (or _let_990 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) _let_988))) (let ((_let_996 (or _let_990 _let_991 _let_988))) (let ((_let_997 (not _let_993))) (let ((_let_998 (not _let_670))) (let ((_let_999 (_let_998))) (let ((_let_1000 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp3 tptp.hskp27 _let_307 _let_291))))) (let ((_let_1001 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_738 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_737)) :args _let_736)))) (let ((_let_1002 (not _let_967))) (let ((_let_1003 (not _let_966))) (let ((_let_1004 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_967)) :args ((or _let_962 _let_960 _let_964 _let_1002))) (REORDERING (CNF_OR_POS :args (_let_966)) :args ((or _let_962 _let_960 _let_965 _let_1003))) :args ((or _let_962 _let_960 _let_1003 _let_1002) true _let_964)))) (let ((_let_1005 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_948 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_947)))) (let ((_let_1006 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp3 tptp.hskp6 _let_307 _let_306))))) (let ((_let_1007 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_982)) :args ((or _let_104 _let_975 _let_976 (not _let_982)))) (REORDERING (CNF_OR_POS :args (_let_979)) :args ((or _let_978 _let_975 _let_977 (not _let_979)))) (REORDERING (ASSUME :args (_let_106)) :args ((or _let_103 _let_105))) (ASSUME :args (_let_204)) (ASSUME :args (_let_206)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp10 _let_307 _let_980 _let_677))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_771 :args (tptp.a231 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_770)) :args _let_769)) _let_954 _let_768 _let_953 _let_935 _let_952 _let_951 _let_950 _let_903 _let_949 _let_907 _let_927 _let_1006 _let_923 _let_742 _let_917 _let_744 _let_373 _let_372 _let_371 _let_717 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp19 tptp.hskp21 _let_307 _let_981))) _let_715 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_667 (= U U)))) _let_713 _let_1005 _let_709 _let_876 _let_857 _let_1004 _let_735 _let_454 _let_855 _let_1001 _let_739 _let_866 _let_459 _let_1000 _let_460 (MACRO_RESOLUTION_TRUST _let_607 (MACRO_RESOLUTION_TRUST _let_593 _let_610 _let_929 _let_612 _let_931 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_615 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_815)) :args _let_613)) _let_932 (REORDERING (CNF_OR_POS :args (_let_996)) :args ((or _let_990 _let_988 _let_991 (not _let_996)))) _let_907 (REORDERING (CNF_OR_POS :args (_let_993)) :args ((or _let_990 _let_988 _let_992 _let_997))) _let_903 (CNF_OR_NEG :args (_let_995 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_995 0)) (CONG (REFL :args (_let_995)) (MACRO_SR_PRED_INTRO :args ((= (not _let_990) _let_989))) :args _let_422)) :args ((or _let_989 _let_995))) _let_935 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_999)) :args _let_999)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_998) _let_670))) (REFL :args ((not _let_995))) :args _let_422)) _let_768 :args ((or tptp.hskp15 _let_307 _let_826 _let_670 _let_820 _let_523 _let_997) false _let_582 true _let_579 true _let_585 true _let_846 true _let_299 false tptp.hskp7 true _let_996 true tptp.hskp6 true _let_991 false _let_848 true _let_988 false _let_989 false _let_666 true _let_995 true _let_668)) _let_599 _let_937 _let_689 _let_939 _let_733 _let_945 _let_735 _let_555 _let_739 _let_866 _let_421 _let_426 _let_876 _let_429 _let_897 _let_457 _let_544 _let_817 _let_548 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_447 (= U U)))) (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_289 (= U V)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_344 (= U W)))) _let_970 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_397 :args (tptp.a216 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_396)) :args _let_395)) _let_971 (REORDERING (CNF_OR_POS :args (_let_994)) :args ((or _let_61 _let_285 _let_283 (not _let_994)))) _let_972 _let_973 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_603 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_602)) :args _let_601)) _let_604 _let_783 _let_784 _let_420 _let_777 _let_351 _let_357 _let_358 _let_362 _let_368 _let_472 _let_468 _let_467 _let_465 _let_464 _let_463 _let_462 _let_473 _let_476 _let_477 _let_377 _let_474 _let_378 _let_793 _let_959 _let_958 _let_559 _let_698 _let_620 _let_618 _let_974 _let_700 _let_699 _let_957 :args ((or _let_138 _let_60 _let_307) false tptp.hskp15 false _let_583 true _let_670 false _let_518 true _let_889 false _let_648 false tptp.hskp8 true _let_692 true tptp.hskp26 false _let_695 false _let_481 false _let_291 false _let_292 true _let_820 true _let_296 true _let_826 true _let_298 true _let_524 true _let_439 false _let_445 false _let_447 false (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)))) true (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c3_1 V))) true (forall ((W $$unsorted)) (or (not (tptp.c1_1 W)) (tptp.c2_1 W) (tptp.c3_1 W))) true _let_289 true _let_344 true _let_288 true _let_994 true _let_283 false _let_286 false _let_993 false _let_584 false _let_276 false _let_275 true _let_269 true _let_268 true _let_267 true _let_329 false tptp.hskp0 true _let_333 true _let_334 false tptp.hskp22 true _let_440 true _let_317 true _let_316 true _let_61 false _let_185 false _let_187 true _let_469 true _let_470 true _let_471 false _let_221 false _let_223 true _let_139 true _let_266 true _let_265 true _let_264 false _let_511 false _let_201 true tptp.hskp27 false _let_444 false _let_314 true _let_97 true _let_100 false tptp.hskp9)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_470 (= U U)))) _let_476 _let_477 _let_378 _let_377 _let_474 _let_987 _let_986 _let_985 _let_959 _let_958 _let_698 _let_700 _let_699 _let_957 _let_620 _let_618 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_558 :args (tptp.a231 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_557)) :args _let_556)) _let_974 :args ((or _let_138 _let_307) true _let_976 true _let_104 false _let_203 false _let_205 false tptp.hskp10 false _let_982 true _let_677 false _let_670 true _let_896 false _let_668 true _let_47 true _let_50 false _let_181 true _let_666 false tptp.hskp1 true _let_848 true _let_887 false tptp.hskp6 true _let_886 true _let_306 true _let_885 true _let_674 true _let_143 true _let_146 true _let_149 false tptp.hskp2 false tptp.hskp19 true _let_669 true _let_981 true _let_667 true _let_894 true _let_702 true _let_820 true tptp.hskp21 true _let_967 true _let_692 true _let_298 false _let_823 false _let_966 false _let_695 false _let_481 true _let_431 false _let_291 false tptp.hskp16 true tptp.hskp3 true _let_980 true _let_470 true _let_471 true _let_139 false _let_221 false _let_223 false _let_961 true _let_960 true _let_963 true _let_265 true _let_264 false _let_201 true _let_97 true _let_100 false tptp.hskp9 true tptp.hskp27 false _let_444 false _let_979 false _let_314)))) (let ((_let_1008 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp19 tptp.hskp18 _let_307 _let_265))))) (let ((_let_1009 (_let_968))) (let ((_let_1010 (not _let_969))) (let ((_let_1011 (MACRO_RESOLUTION_TRUST _let_749 _let_725 _let_946 _let_727 _let_688 _let_687 _let_728 _let_686 _let_642 _let_936 _let_934 _let_933 _let_915 _let_911 _let_624 _let_622 _let_621 _let_408 _let_400 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_969)) :args ((or _let_127 _let_124 _let_393 _let_1010))) _let_413 _let_412 _let_411 :args ((or _let_123 _let_1010) true _let_124 true _let_127 false _let_217)) _let_398 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_1009) :args (tptp.a242 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 V) false))))) :args _let_1009)) _let_945 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp8 _let_307 _let_298 _let_968))) _let_939 _let_937 _let_768 _let_935 _let_903 _let_907 _let_906 _let_905 _let_729 _let_1006 _let_954 _let_742 _let_953 _let_744 _let_952 _let_951 _let_950 _let_717 _let_949 _let_715 _let_1005 _let_876 _let_745 _let_1004 _let_555 _let_454 _let_759 _let_1001 _let_739 _let_866 _let_459 _let_928 _let_1000 _let_460 _let_559 _let_987 _let_986 _let_985 _let_927 _let_923 _let_917 _let_371 _let_372 _let_373 _let_1008 _let_959 _let_958 _let_700 _let_698 _let_699 _let_957 _let_1007 _let_620 _let_618 _let_974 :args ((or tptp.hskp3 _let_307) true _let_681 false _let_682 true _let_680 true _let_643 false _let_644 false tptp.hskp14 true _let_646 true _let_290 true _let_289 true _let_850 false _let_835 false _let_837 false _let_834 true tptp.hskp13 false _let_498 false _let_517 false _let_342 true tptp.hskp24 true tptp.hskp15 false _let_391 false _let_969 false _let_344 false _let_968 true tptp.hskp8 false _let_889 false _let_670 false _let_668 true _let_666 true _let_848 true _let_82 false _let_193 true _let_678 false tptp.hskp6 true _let_677 true _let_306 true _let_896 true _let_674 true _let_47 true _let_50 false _let_181 false tptp.hskp2 false tptp.hskp1 true _let_669 true _let_894 true _let_820 true _let_667 true _let_967 true tptp.hskp26 true _let_298 true _let_696 false _let_966 false _let_695 false _let_481 true _let_431 false tptp.hskp4 false _let_291 false tptp.hskp16 false _let_511 false _let_961 true _let_960 true _let_963 true _let_887 true _let_886 true _let_885 true _let_149 true _let_146 true _let_143 false tptp.hskp19 true _let_265 true _let_264 true _let_97 false _let_201 true _let_100 false tptp.hskp9 true tptp.hskp18 true tptp.hskp27 false _let_444 false _let_314)))) (let ((_let_1012 (_let_346))) (let ((_let_1013 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_1014 (not _let_282))) (let ((_let_1015 (not _let_297))) (let ((_let_1016 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_635 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_634)) :args _let_633)) _let_641 (REORDERING (CNF_OR_POS :args (_let_305)) :args ((or _let_273 _let_271 _let_300 (not _let_305)))) _let_741 (REORDERING (CNF_OR_POS :args (_let_302)) :args ((or _let_271 _let_270 _let_301 (not _let_302)))) _let_740 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_453 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_452)) :args _let_451)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_615 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_815)) :args _let_613)) _let_429 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_297)) :args ((or _let_279 _let_277 _let_280 _let_1015))) (REORDERING (CNF_OR_POS :args (_let_282)) :args ((or _let_279 _let_277 _let_281 _let_1014))) (CNF_OR_NEG :args (_let_295 2)) _let_428 :args ((or _let_295 _let_1015 _let_1014) true _let_280 true _let_277 false _let_278)) _let_426 _let_425 _let_421 (MACRO_RESOLUTION_TRUST _let_741 _let_641 _let_740 _let_742 _let_816 _let_744 _let_814 _let_717 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp5 _let_307 _let_317 _let_1013))) _let_715 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_894 (= U V)))) _let_713 _let_1005 _let_709 _let_1004 _let_735 _let_1001 _let_739 _let_987 _let_986 _let_985 _let_959 _let_958 _let_698 _let_700 _let_699 _let_957 _let_467 _let_465 _let_1011 _let_620 _let_618 _let_974 :args ((or _let_307 _let_290 _let_423) true _let_304 true _let_303 true _let_306 true _let_299 true _let_674 true _let_507 false tptp.hskp2 false tptp.hskp5 true _let_669 true _let_1013 true _let_667 true _let_894 true _let_702 true _let_967 true _let_692 false _let_966 false _let_695 false _let_961 true _let_960 true _let_963 true _let_265 true _let_264 false _let_201 true _let_97 true _let_100 false tptp.hskp9 true _let_317 true _let_316 false tptp.hskp3 true tptp.hskp27 false _let_444 false _let_314)) _let_642 _let_970 _let_971 _let_972 _let_973 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_603 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_602)) :args _let_601)) _let_783 (CNF_OR_NEG :args (_let_274 2)) (CNF_OR_NEG :args (_let_274 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_274 0)) (CONG (REFL :args (_let_274)) (MACRO_SR_PRED_INTRO :args ((= (not _let_273) _let_272))) :args _let_422)) :args ((or _let_272 _let_274))) _let_784 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1012)) :args _let_1012)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_346) _let_267))) (REFL :args ((not _let_274))) :args _let_422)) _let_420 _let_777 (MACRO_RESOLUTION_TRUST _let_363 _let_358 _let_374 _let_357 _let_352 _let_351 _let_1008 _let_959 _let_958 _let_700 _let_698 _let_699 _let_957 _let_1007 :args ((or _let_307 _let_346) false _let_333 true _let_335 true tptp.hskp0 false _let_332 false _let_329 false tptp.hskp19 true _let_265 true _let_264 true _let_97 false _let_201 true _let_100 false tptp.hskp9 true tptp.hskp18)) _let_464 _let_463 _let_462 _let_1011 _let_793 _let_959 _let_958 _let_700 _let_699 _let_698 _let_957 :args (_let_307 false _let_306 true _let_305 false _let_304 true _let_300 true _let_303 false _let_302 true _let_299 false _let_298 true _let_297 false _let_296 true _let_295 true _let_292 true _let_291 true _let_290 true _let_289 true _let_288 true _let_283 false _let_286 false _let_282 false _let_276 true _let_270 true _let_271 false _let_272 false _let_275 true _let_274 true _let_269 true _let_268 true _let_267 true _let_61 false _let_185 false _let_187 false tptp.hskp3 true _let_266 true _let_265 true _let_264 true _let_97 true _let_100 false _let_201 false tptp.hskp9)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_376 (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_259)) :args ((or tptp.ndr1_0 _let_142))) _let_1016 :args (_let_142 true tptp.ndr1_0)) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_260)) :args ((or tptp.ndr1_0 _let_175))) _let_1016 :args (_let_175 true tptp.ndr1_0)) :args (false true tptp.hskp19 true tptp.hskp25)) :args (_let_262 _let_261 (or _let_256 tptp.ndr1_0) (or _let_250 tptp.ndr1_0) (or _let_243 tptp.ndr1_0) (or _let_236 tptp.ndr1_0) _let_260 (or _let_168 tptp.ndr1_0) (or _let_167 tptp.ndr1_0) (or _let_157 tptp.ndr1_0) (or _let_153 tptp.ndr1_0) (or _let_152 tptp.ndr1_0) _let_259 (or _let_138 tptp.ndr1_0) (or _let_137 tptp.ndr1_0) (or _let_130 tptp.ndr1_0) (or _let_123 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_103 tptp.ndr1_0) (or _let_96 tptp.ndr1_0) (or _let_89 tptp.ndr1_0) (or _let_85 tptp.ndr1_0) (or _let_81 tptp.ndr1_0) (or _let_74 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 tptp.hskp20 tptp.hskp11 tptp.hskp1) (or tptp.hskp20 tptp.hskp10 tptp.hskp2) (or tptp.hskp20 tptp.hskp23 tptp.hskp4) _let_258 (or tptp.hskp18 tptp.hskp27 tptp.hskp17) _let_257 (or tptp.hskp12 tptp.hskp1 tptp.hskp0) (or _let_256 (tptp.c0_1 tptp.a296)) (or _let_256 (tptp.c2_1 tptp.a296)) (or _let_256 (tptp.c3_1 tptp.a296)) _let_255 _let_253 _let_251 _let_248 _let_246 _let_244 _let_241 _let_239 _let_237 _let_234 _let_232 _let_230 (or _let_167 (tptp.c1_1 tptp.a274)) _let_228 _let_226 (or _let_152 (tptp.c0_1 tptp.a257)) (or _let_152 (tptp.c1_1 tptp.a257)) _let_224 _let_222 (or _let_137 (tptp.c1_1 tptp.a248)) (or _let_137 (tptp.c3_1 tptp.a248)) _let_220 _let_218 _let_216 _let_214 _let_212 _let_210 _let_208 (or _let_107 (tptp.c0_1 tptp.a236)) _let_206 _let_204 _let_202 _let_200 _let_198 _let_196 _let_194 _let_192 _let_190 _let_188 _let_186 _let_184 _let_182 _let_180 _let_178 _let_174 _let_171 (or (not (tptp.c0_1 tptp.a274)) _let_167) (or (not (tptp.c3_1 tptp.a274)) _let_167) _let_166 _let_163 _let_160 _let_156 (or (not (tptp.c3_1 tptp.a257)) _let_152) _let_151 _let_148 _let_145 _let_141 (or (not (tptp.c2_1 tptp.a248)) _let_137) _let_136 _let_133 _let_129 _let_126 _let_122 _let_119 _let_115 _let_111 (or (not (tptp.c2_1 tptp.a236)) _let_107) (or (not (tptp.c3_1 tptp.a236)) _let_107) _let_106 _let_102 _let_99 _let_95 _let_92 _let_88 _let_84 _let_80 _let_77 _let_73 _let_70 _let_67 _let_63 _let_59 _let_56 _let_52 _let_49 _let_45 _let_42 _let_38 _let_37 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp6 tptp.hskp5)) _let_36 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp20 tptp.hskp4)) _let_35 _let_34 _let_33 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp2 tptp.hskp0)) (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp1 tptp.hskp8)) _let_32 _let_31 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp12 tptp.hskp17)) _let_30 _let_29 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp16 tptp.hskp7)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp10 tptp.hskp17)) _let_28 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp26 tptp.hskp23)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp16 tptp.hskp4)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp1 tptp.hskp19)) _let_27 _let_26 _let_25 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp27 tptp.hskp2)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp10 tptp.hskp8)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp26 tptp.hskp29)) _let_24 _let_23 _let_22 _let_21 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp1)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp5)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp2)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp10)) _let_20 (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.hskp5)) (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)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp11)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp12)) _let_19 _let_18 _let_17 (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.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp26)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) tptp.hskp10)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_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.hskp1)) _let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp1)) _let_15 _let_14 (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.c3_1 V)) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp7)) (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.c2_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) tptp.hskp8)) _let_13 _let_12 _let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c1_1 V) tptp.hskp18)) _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) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c3_1 V) tptp.hskp28)) _let_9 (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.c2_1 V)) tptp.hskp22)) _let_8 _let_7 _let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c1_1 W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 W)) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c3_1 W))) _let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c2_1 W)) (not (tptp.c3_1 W)) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c0_1 W))) _let_4 _let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (tptp.c0_1 W) (tptp.c1_1 W))) _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.53/0.76 )
% 0.53/0.76 % SZS output end Proof for SYN503-1
% 0.53/0.76 % cvc5---1.0.5 exiting
% 0.53/0.77 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------