TSTP Solution File: SYN484-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN484-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 02:03:35 EDT 2023
% Result : Unsatisfiable 0.49s 0.74s
% Output : Proof 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SYN484-1 : TPTP v8.1.2. Released v2.1.0.
% 0.03/0.15 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 18:25:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.18/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.8r2yogBZ8Y/cvc5---1.0.5_29532.p...
% 0.18/0.51 ------- get file name : TPTP file name is SYN484-1
% 0.18/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29532.smt2...
% 0.18/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.49/0.74 % SZS status Unsatisfiable for SYN484-1
% 0.49/0.74 % SZS output start Proof for SYN484-1
% 0.60/0.80 (
% 0.60/0.80 (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (tptp.c3_1 U) (tptp.c2_1 V) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (not (tptp.c0_1 W)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c2_1 W))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c2_1 W))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 W)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c2_1 W))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c3_1 W))))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c3_1 V) (tptp.c1_1 W) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c3_1 W)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c2_1 W))))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c3_1 W))))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c3_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c3_1 W))))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 V) tptp.hskp20)))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c0_1 V))))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp14)))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp13)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp8)))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp29)))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_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.c1_1 V) tptp.hskp5)))) (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.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp3)))) (let ((_let_19 (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.hskp28)))) (let ((_let_20 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp21)))) (let ((_let_21 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp12)))) (let ((_let_22 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp15)))) (let ((_let_23 (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.c2_1 V) (tptp.c3_1 V))))) (let ((_let_24 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp1)))) (let ((_let_25 (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.hskp27)))) (let ((_let_26 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp26 tptp.hskp25)))) (let ((_let_27 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) tptp.hskp17)))) (let ((_let_28 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp24 tptp.hskp25)))) (let ((_let_29 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp12 tptp.hskp0)))) (let ((_let_30 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp11 tptp.hskp12)))) (let ((_let_31 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp16 tptp.hskp24)))) (let ((_let_32 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp1 tptp.hskp22)))) (let ((_let_33 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp6 tptp.hskp18)))) (let ((_let_34 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp13 tptp.hskp20)))) (let ((_let_35 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp4 tptp.hskp18)))) (let ((_let_36 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp10)))) (let ((_let_37 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp23 tptp.hskp6)))) (let ((_let_38 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp30 tptp.hskp5)))) (let ((_let_39 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp29 tptp.hskp6)))) (let ((_let_40 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp4 tptp.hskp27)))) (let ((_let_41 (not tptp.hskp0))) (let ((_let_42 (tptp.c3_1 tptp.a1969))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_41))) (let ((_let_45 (tptp.c2_1 tptp.a1969))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_41))) (let ((_let_48 (tptp.c1_1 tptp.a1969))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_41))) (let ((_let_51 (not tptp.hskp1))) (let ((_let_52 (tptp.c1_1 tptp.a1971))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_51))) (let ((_let_55 (not tptp.hskp2))) (let ((_let_56 (not tptp.hskp3))) (let ((_let_57 (tptp.c0_1 tptp.a1974))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56))) (let ((_let_60 (not tptp.hskp4))) (let ((_let_61 (tptp.c2_1 tptp.a1975))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_60))) (let ((_let_64 (tptp.c1_1 tptp.a1975))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_60))) (let ((_let_67 (not tptp.hskp5))) (let ((_let_68 (tptp.c3_1 tptp.a1977))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_67))) (let ((_let_71 (tptp.c2_1 tptp.a1977))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_67))) (let ((_let_74 (not tptp.hskp6))) (let ((_let_75 (tptp.c2_1 tptp.a1979))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_74))) (let ((_let_78 (tptp.c0_1 tptp.a1979))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_79 _let_74))) (let ((_let_81 (not tptp.hskp7))) (let ((_let_82 (not tptp.hskp8))) (let ((_let_83 (tptp.c1_1 tptp.a1983))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_84 _let_82))) (let ((_let_86 (tptp.c0_1 tptp.a1983))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_82))) (let ((_let_89 (not tptp.hskp9))) (let ((_let_90 (not tptp.hskp10))) (let ((_let_91 (tptp.c1_1 tptp.a1987))) (let ((_let_92 (not _let_91))) (let ((_let_93 (or _let_92 _let_90))) (let ((_let_94 (not tptp.hskp11))) (let ((_let_95 (tptp.c3_1 tptp.a1989))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_96 _let_94))) (let ((_let_98 (tptp.c0_1 tptp.a1989))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_94))) (let ((_let_101 (not tptp.hskp12))) (let ((_let_102 (tptp.c2_1 tptp.a1990))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_101))) (let ((_let_105 (tptp.c1_1 tptp.a1990))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_106 _let_101))) (let ((_let_108 (not tptp.hskp13))) (let ((_let_109 (tptp.c3_1 tptp.a1991))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_110 _let_108))) (let ((_let_112 (not tptp.hskp14))) (let ((_let_113 (tptp.c2_1 tptp.a1992))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_114 _let_112))) (let ((_let_116 (tptp.c0_1 tptp.a1992))) (let ((_let_117 (not _let_116))) (let ((_let_118 (or _let_117 _let_112))) (let ((_let_119 (not tptp.hskp15))) (let ((_let_120 (tptp.c1_1 tptp.a1993))) (let ((_let_121 (not _let_120))) (let ((_let_122 (or _let_121 _let_119))) (let ((_let_123 (tptp.c0_1 tptp.a1993))) (let ((_let_124 (not _let_123))) (let ((_let_125 (or _let_124 _let_119))) (let ((_let_126 (not tptp.hskp16))) (let ((_let_127 (tptp.c2_1 tptp.a1996))) (let ((_let_128 (not _let_127))) (let ((_let_129 (or _let_128 _let_126))) (let ((_let_130 (not tptp.hskp17))) (let ((_let_131 (tptp.c0_1 tptp.a1998))) (let ((_let_132 (not _let_131))) (let ((_let_133 (or _let_132 _let_130))) (let ((_let_134 (not tptp.hskp18))) (let ((_let_135 (tptp.c3_1 tptp.a2000))) (let ((_let_136 (not _let_135))) (let ((_let_137 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(SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 U) false))))) :args _let_793)))) (let ((_let_795 (ASSUME :args (_let_200)))) (let ((_let_796 (REORDERING (ASSUME :args (_let_66)) :args ((or _let_60 _let_65))))) (let ((_let_797 (REORDERING (ASSUME :args (_let_63)) :args ((or _let_60 _let_62))))) (let ((_let_798 (not _let_422))) (let ((_let_799 (not _let_339))) (let ((_let_800 (_let_799))) (let ((_let_801 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_800)) :args _let_800)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_799) _let_339))) (REFL :args (_let_798)) :args _let_550)))) (let ((_let_802 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_422 0)) (CONG (REFL :args (_let_422)) (MACRO_SR_PRED_INTRO :args ((= (not _let_311) _let_310))) :args _let_550)) :args ((or _let_310 _let_422))))) (let ((_let_803 (CNF_OR_NEG :args (_let_422 2)))) (let ((_let_804 (not _let_781))) (let ((_let_805 (REORDERING (CNF_OR_POS :args (_let_781)) :args ((or _let_64 _let_61 _let_778 _let_804))))) (let ((_let_806 (_let_314))) (let ((_let_807 (_let_782))) (let ((_let_808 ((not (= (tptp.c1_1 V) true))))) (let ((_let_809 (ASSUME :args _let_807))) (let ((_let_810 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_809 :args (tptp.a1975 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_808)) :args _let_807)))) (let ((_let_811 (REORDERING (CNF_OR_POS :args (_let_783)) :args ((or _let_311 _let_309 _let_312 (not _let_783)))))) (let ((_let_812 (not _let_782))) (let ((_let_813 (_let_812))) (let ((_let_814 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_813)) :args _let_813)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_812) _let_782))) (REFL :args ((not _let_785))) :args _let_550)))) (let ((_let_815 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_603 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_602)) :args _let_601)))) (let ((_let_816 (not _let_787))) (let ((_let_817 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_305)) :args ((or _let_303 _let_302 _let_304 _let_788))) (REORDERING (CNF_OR_POS :args (_let_787)) :args ((or _let_784 _let_303 _let_786 _let_816))) (CNF_OR_NEG :args (_let_785 2)) (CNF_OR_NEG :args (_let_785 1)) (CNF_OR_NEG :args (_let_785 0)) :args ((or _let_785 _let_788 _let_816) true _let_304 true _let_302 true _let_303 true _let_784)))) (let ((_let_818 ((not (= (tptp.c1_1 U) true))))) (let ((_let_819 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_725 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_818)) :args _let_723)))) (let ((_let_820 ((not (= (tptp.c1_1 U) false))))) (let ((_let_821 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_591 :args (tptp.a1977 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_820)) :args _let_589)))) (let ((_let_822 (not _let_382))) (let ((_let_823 (ASSUME :args (_let_202)))) (let ((_let_824 (REORDERING (ASSUME :args (_let_73)) :args ((or _let_67 _let_72))))) (let ((_let_825 (REORDERING (ASSUME :args (_let_70)) :args ((or _let_67 _let_69))))) (let ((_let_826 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_382)) :args ((or _let_71 _let_68 _let_381 _let_822))) _let_825 _let_824 _let_823 :args ((or _let_67 _let_822) true _let_68 true _let_71 false _let_201)))) (let ((_let_827 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_38)) (MACRO_SR_EQ_INTRO :args (_let_38 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp30 tptp.hskp5 _let_474 _let_360))))) (let ((_let_828 (MACRO_RESOLUTION_TRUST _let_512 _let_464 _let_454 _let_453 _let_452 _let_827 _let_473 _let_826 _let_821 _let_595 _let_597 _let_473 _let_819 _let_599 _let_817 _let_815 _let_814 _let_811 _let_810 (REORDERING (CNF_OR_POS :args _let_806) :args ((or _let_311 _let_309 _let_313 _let_789))) _let_805 _let_803 _let_802 (REORDERING (CNF_OR_POS :args (_let_780)) :args ((or _let_64 _let_361 _let_779 (not _let_780)))) _let_801 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_515 :args (tptp.a1975 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_514)) :args _let_513)) _let_516 _let_628 _let_525 _let_621 _let_527 _let_473 _let_767 _let_766 _let_763 _let_762 _let_758 _let_755 _let_753 _let_797 _let_796 _let_795 _let_752 _let_531 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO :args (_let_40 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp27 tptp.hskp4 _let_474 _let_777))) _let_473 _let_751 _let_473 _let_750 _let_794 _let_635 _let_749 _let_792 _let_471 _let_629 _let_747 _let_746 _let_745 _let_790 _let_744 _let_743 _let_473 _let_742 _let_739 :args ((or tptp.hskp27 _let_288 _let_317 _let_316 _let_315 _let_789 _let_394 _let_307 _let_306 _let_788 _let_672 _let_671) true _let_434 false _let_264 false _let_267 false _let_269 false tptp.hskp30 false tptp.ndr1_0 true tptp.hskp5 false _let_382 false _let_332 false _let_576 false tptp.ndr1_0 true _let_360 true _let_578 true _let_787 true _let_389 true _let_785 true _let_783 true _let_782 true _let_312 true _let_781 true _let_309 false _let_310 true _let_778 true _let_422 false _let_780 false _let_437 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U V)))))) (let ((_let_834 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp21 _let_474 _let_384 _let_385))))) (let ((_let_835 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_332 (= U U)))))) (let ((_let_836 (or _let_455 _let_435 _let_434))) (let ((_let_837 (REORDERING (CNF_OR_POS :args (_let_836)) :args ((or _let_455 _let_435 _let_434 (not _let_836)))))) (let ((_let_838 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_775 :args (tptp.a2005 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 U) false))))) :args _let_774)))) (let ((_let_839 (MACRO_RESOLUTION_TRUST _let_731 _let_736 _let_729 _let_737 _let_681 _let_680 _let_678 _let_732 _let_473 _let_676 _let_673 _let_838 _let_837 _let_464 _let_454 _let_453 _let_452 _let_827 _let_473 _let_730 :args ((or tptp.hskp5 _let_360 _let_727 _let_462) false _let_684 false _let_646 false _let_428 true _let_657 false _let_647 false _let_649 false _let_685 false tptp.ndr1_0 true _let_658 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QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_711)) :args _let_710)))) (let ((_let_846 (or _let_648 _let_646 _let_657))) (let ((_let_847 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (tptp.c3_1 U))))) (let ((_let_848 (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c1_1 V))))) (let ((_let_849 (MACRO_RESOLUTION_TRUST _let_608 _let_614 _let_719 _let_487 _let_718 _let_473 _let_478 _let_477 _let_612 _let_716 _let_475 _let_473 _let_845 _let_471 _let_844 _let_464 :args ((or tptp.hskp20 _let_436 _let_455 _let_435 _let_456 _let_486) true _let_581 false _let_580 true _let_281 false _let_655 false tptp.ndr1_0 true _let_131 false _let_223 false _let_225 true _let_654 false tptp.hskp17 false tptp.ndr1_0 true _let_653 true _let_401 true _let_652 true _let_458)))) (let ((_let_850 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_372 (= U U)))))) (let ((_let_851 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp5 _let_474 _let_847 _let_848))))) (let ((_let_852 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_339 (= U V)))))) (let ((_let_853 (MACRO_RESOLUTION_TRUST _let_851 _let_473 _let_852 _let_850 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_627 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_626)) :args _let_625)) _let_503 (REORDERING (CNF_OR_POS :args (_let_846)) :args ((or _let_648 _let_657 _let_646 (not _let_846)))) _let_698 _let_681 _let_494 _let_473 _let_676 _let_722 (CNF_OR_NEG :args (_let_651 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_651 1)) (CONG (REFL :args _let_728) _let_679 :args _let_550)) :args ((or _let_647 _let_651))) _let_838 _let_839 _let_837 _let_842 (MACRO_RESOLUTION_TRUST _let_852 _let_628 _let_851 _let_473 _let_622 _let_850 _let_609 _let_503 _let_719 _let_698 _let_718 _let_473 _let_494 _let_473 _let_716 _let_493 _let_845 _let_849 _let_844 :args ((or tptp.hskp20 tptp.hskp5 _let_436 _let_455 _let_435 _let_456 _let_395) true _let_339 false _let_848 false tptp.ndr1_0 true _let_421 true _let_847 false _let_583 true _let_372 false _let_580 true _let_379 false _let_655 false tptp.ndr1_0 false tptp.hskp13 false tptp.ndr1_0 true _let_654 true _let_380 true _let_653 true _let_283 true _let_652)) _let_454 _let_453 _let_452 _let_827 _let_473 _let_826 _let_821 _let_835 _let_834 _let_473 _let_833 _let_832 _let_831 _let_726 _let_829 _let_720 _let_704 _let_705 _let_699 :args ((or tptp.hskp21 tptp.hskp20 tptp.hskp18 _let_395) false tptp.ndr1_0 true _let_848 true _let_847 true _let_339 true _let_372 true _let_846 true _let_379 true _let_657 false tptp.hskp13 false tptp.ndr1_0 true _let_658 true _let_380 true _let_646 false _let_647 true _let_645 true _let_651 true _let_836 false _let_458 true _let_434 false _let_264 false _let_267 false _let_269 false tptp.hskp30 false tptp.ndr1_0 true tptp.hskp5 false _let_382 false _let_332 false _let_384 false tptp.ndr1_0 true _let_385 true _let_389 true _let_391 true _let_360 true _let_386 true _let_388 true _let_127 false _let_219 false tptp.hskp16)))) (let ((_let_854 (or _let_373 _let_153 _let_150))) (let ((_let_855 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (tptp.c1_1 U) (tptp.c3_1 U))))) (let ((_let_856 (not _let_396))) (let ((_let_857 (or _let_856 _let_381 _let_71))) (let ((_let_858 (not _let_397))) (let ((_let_859 (REORDERING (CNF_OR_POS :args (_let_854)) :args ((or _let_153 _let_150 _let_373 (not _let_854)))))) (let ((_let_860 (_let_855))) (let ((_let_861 ((not (= (tptp.c2_1 U) false))))) (let ((_let_862 (ASSUME :args _let_860))) (let ((_let_863 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_862 :args (tptp.a2009 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_861)) :args _let_860)))) (let ((_let_864 (not _let_370))) (let ((_let_865 (REORDERING (CNF_OR_POS :args (_let_370)) :args ((or _let_174 _let_171 _let_369 _let_864))))) (let ((_let_866 (_let_348))) (let ((_let_867 ((not (= (tptp.c0_1 U) false))))) (let ((_let_868 (ASSUME :args _let_866))) (let ((_let_869 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_868 :args (tptp.a1977 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_867)) :args _let_866)))) (let ((_let_870 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_627 :args (tptp.a2031 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_626)) :args _let_625)))) (let ((_let_871 (REORDERING (CNF_OR_POS :args (_let_857)) :args ((or _let_71 _let_381 _let_856 (not _let_857)))))) (let ((_let_872 (REORDERING (CNF_OR_POS :args (_let_397)) :args ((or _let_71 _let_68 _let_396 _let_858))))) (let ((_let_873 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_314 0)) (CONG (REFL :args _let_806) (MACRO_SR_PRED_INTRO :args ((= (not _let_313) _let_312))) :args _let_550)) :args ((or _let_312 _let_314))))) (let ((_let_874 (not _let_403))) (let ((_let_875 (not _let_423))) (let ((_let_876 (CNF_OR_NEG :args (_let_422 1)))) (let ((_let_877 (REORDERING (CNF_OR_POS :args (_let_423)) :args ((or _let_311 _let_402 _let_313 _let_875))))) (let ((_let_878 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_403)) :args ((or _let_311 _let_402 _let_312 _let_874))) _let_877 _let_876 _let_802 :args ((or _let_422 _let_875 _let_874) true _let_312 true _let_402 false _let_310)))) (let ((_let_879 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_492 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_491)) :args _let_490)))) (let ((_let_880 (MACRO_RESOLUTION_TRUST _let_772 _let_773 _let_770 _let_473 _let_771 _let_768 _let_769 _let_604 _let_496 _let_495 _let_638 _let_494 _let_473 _let_637 _let_879 _let_449 _let_448 _let_447 _let_878 _let_636 _let_473 _let_801 _let_628 _let_621 _let_767 _let_763 _let_758 _let_755 _let_753 _let_633 _let_752 _let_751 _let_473 _let_635 _let_748 _let_629 (REORDERING (CNF_OR_NEG :args (_let_403 2)) :args ((or _let_313 _let_403))) _let_746 _let_873 _let_743 _let_473 _let_828 _let_739 _let_738 _let_686 (MACRO_RESOLUTION_TRUST _let_872 _let_871 _let_825 _let_824 _let_823 _let_851 _let_473 _let_852 _let_870 _let_869 _let_865 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_348 (= U U)))) _let_689 _let_506 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) _let_473 _let_505 _let_473 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_855 (= U V)))) _let_850 _let_504 _let_863 _let_691 _let_859 _let_697 _let_696 _let_695 _let_694 :args ((or tptp.hskp25 _let_149 _let_393 _let_369 _let_858 _let_693) true _let_396 true _let_68 true _let_71 false _let_201 false tptp.hskp5 false tptp.ndr1_0 true _let_848 true _let_339 false _let_857 true _let_370 false _let_348 true _let_171 true _let_174 false (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (tptp.c2_1 U))) false tptp.ndr1_0 false tptp.hskp24 false tptp.ndr1_0 true (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (tptp.c1_1 V) (tptp.c3_1 V))) true _let_847 true _let_371 true _let_855 true _let_372 true _let_854 true _let_376 true _let_150 true _let_153 false _let_231)) _let_853 (MACRO_RESOLUTION_TRUST _let_719 _let_608 _let_718 _let_473 _let_614 _let_716 _let_612 (REORDERING (CNF_OR_NEG :args (_let_429 2)) :args ((or _let_282 _let_429))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_429 0)) (CONG (REFL :args _let_479) (MACRO_SR_PRED_INTRO :args ((= (not _let_280) _let_223))) :args _let_550)) :args ((or _let_223 _let_429))) _let_845 _let_475 _let_473 _let_511 _let_844 _let_454 _let_471 _let_843 _let_842 _let_841 _let_827 _let_473 _let_839 _let_826 _let_821 _let_835 _let_834 _let_473 _let_833 _let_832 _let_831 _let_726 _let_829 _let_722 _let_720 _let_704 _let_705 _let_494 _let_473 _let_699 _let_698 _let_697 _let_503 _let_691 _let_504 _let_505 _let_473 _let_690 _let_687 _let_686 _let_828 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_775 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 U) false))))) :args _let_774)) (MACRO_RESOLUTION_TRUST _let_773 _let_772 _let_771 _let_770 _let_473 _let_769 _let_768 _let_496 _let_495 _let_604 _let_494 _let_473 _let_638 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_492 :args (tptp.a1987 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_721)) :args _let_490)) _let_637 (REORDERING (CNF_OR_POS :args (_let_670)) :args ((or _let_669 _let_665 _let_666 (not _let_670)))) _let_449 _let_448 _let_447 (REORDERING (CNF_OR_POS :args (_let_668)) :args ((or _let_91 _let_665 _let_667 (not _let_668)))) _let_636 _let_473 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_515 :args (tptp.a1987 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_514)) :args _let_513)) _let_628 _let_525 _let_621 _let_527 _let_473 _let_767 _let_766 _let_763 _let_762 _let_758 _let_755 _let_753 _let_633 _let_752 _let_531 _let_751 _let_473 _let_750 _let_635 _let_749 _let_748 _let_629 _let_747 _let_746 _let_745 _let_744 _let_743 _let_473 _let_742 _let_739 _let_738 (MACRO_RESOLUTION_TRUST _let_737 _let_736 _let_732 _let_473 _let_731 _let_730 _let_729 _let_726 _let_722 _let_720 _let_494 _let_473 _let_699 _let_698 _let_697 _let_503 _let_691 _let_504 _let_505 _let_473 _let_690 _let_687 _let_686 :args ((or tptp.hskp25 tptp.hskp20 tptp.hskp18 _let_656 _let_323 _let_330 _let_650 _let_648 _let_657) true _let_428 false _let_685 false tptp.ndr1_0 true _let_684 true _let_682 false _let_646 true _let_360 false _let_651 true _let_388 false _let_380 false tptp.ndr1_0 false tptp.hskp16 true tptp.hskp13 true tptp.hskp21 false _let_379 false _let_376 false _let_372 false _let_371 false tptp.ndr1_0 true tptp.hskp24 false _let_331 false _let_383)) _let_681 _let_680 _let_678 (REORDERING (ASSUME :args (_let_93)) :args ((or _let_90 _let_92))) (ASSUME :args (_let_208)) (ASSUME :args (_let_210)) _let_676 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp10 _let_474 _let_645))) _let_473 _let_673 :args ((or tptp.hskp25 tptp.hskp20 tptp.hskp18 _let_645 _let_317 _let_315 _let_330 _let_394 _let_307 _let_306 _let_672 _let_671) false _let_428 true _let_426 false _let_427 false tptp.ndr1_0 true _let_408 true _let_425 false _let_213 false _let_215 true _let_389 false tptp.hskp13 false tptp.ndr1_0 true _let_424 true _let_380 true _let_342 true _let_670 true _let_75 true _let_78 false _let_203 true _let_666 false tptp.hskp6 false tptp.ndr1_0 false _let_668 true _let_339 false _let_350 true _let_421 false _let_518 false tptp.ndr1_0 true _let_418 true tptp.hskp14 false _let_420 false _let_664 false _let_417 false _let_416 false _let_415 false _let_355 false _let_357 true _let_519 false _let_411 false tptp.ndr1_0 true _let_520 true tptp.hskp29 true _let_662 false _let_410 false _let_407 false _let_285 false _let_401 true _let_284 true _let_286 false _let_400 false tptp.ndr1_0 true _let_660 true _let_399 true _let_398 true _let_288 true _let_657 false _let_647 false _let_649 true _let_91 false _let_207 false _let_209 true _let_658 false tptp.hskp10 false tptp.ndr1_0 true _let_656)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_433 0)) (CONG (REFL :args _let_508) (MACRO_SR_PRED_INTRO :args ((= (not _let_369) _let_330))) :args _let_550)) :args ((or _let_330 _let_433))) _let_548 _let_643 _let_546 _let_644 _let_556 _let_555 _let_554 _let_642 _let_489 _let_484 _let_639 _let_547 _let_549 _let_553 _let_545 :args ((or tptp.hskp27 tptp.hskp20 tptp.hskp18 _let_330) true _let_580 false _let_655 false tptp.ndr1_0 true _let_581 true _let_654 false _let_225 true _let_281 false _let_223 true _let_653 false tptp.hskp17 false tptp.ndr1_0 true _let_429 true _let_652 false _let_264 true _let_401 false _let_267 false _let_434 false _let_269 false tptp.hskp30 false tptp.ndr1_0 true _let_458 true tptp.hskp5 false _let_382 false _let_332 false _let_384 false tptp.ndr1_0 true _let_385 true _let_389 true _let_391 true _let_360 true _let_386 false _let_651 true _let_388 true _let_127 false _let_219 false _let_380 false tptp.ndr1_0 false tptp.hskp16 true tptp.hskp13 true tptp.hskp21 false _let_379 false _let_376 false _let_372 false _let_371 false tptp.ndr1_0 true tptp.hskp24 false _let_331 false _let_383 false _let_288 false _let_314 false _let_645 false _let_433 true _let_315 false _let_287 true _let_317 false _let_301 true _let_306 true _let_307 false _let_308 false _let_305 true tptp.hskp25 false _let_367 false _let_318 true _let_316 true _let_392 true _let_395 true _let_353)) _let_489 _let_644 _let_643 _let_642 _let_484 _let_640 _let_639 _let_556 _let_555 _let_554 _let_553 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_353 (= U W)))) _let_549 _let_548 _let_547 _let_546 _let_545 :args ((or tptp.hskp27 tptp.hskp20 tptp.hskp18) true _let_428 false _let_427 false tptp.ndr1_0 true _let_426 true _let_425 true _let_408 true _let_389 false _let_213 false _let_215 true _let_424 false tptp.hskp13 false tptp.ndr1_0 true _let_342 true _let_380 true _let_75 true _let_78 false _let_203 true _let_423 false tptp.hskp6 false tptp.ndr1_0 true _let_422 true _let_339 true _let_421 true _let_418 false _let_420 false _let_417 false _let_416 false _let_415 false _let_355 false _let_357 false _let_411 false tptp.ndr1_0 true tptp.hskp29 false _let_410 false _let_407 false _let_403 false _let_401 false _let_312 false _let_400 false tptp.ndr1_0 true _let_314 true _let_399 true _let_398 true _let_288 true _let_383 false tptp.hskp21 false _let_330 true tptp.hskp25 false _let_301 false _let_287 false _let_305 false _let_367 false _let_397 false _let_318 true _let_306 true _let_307 false _let_308 true _let_395 true _let_393 true _let_392 true _let_315 true _let_316 true _let_317 true _let_353)))) (let ((_let_881 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_295)) :args ((or _let_294 _let_293 _let_292 _let_297))) (ASSUME :args (_let_245)) (ASSUME :args (_let_247)) (ASSUME :args (_let_249)) :args ((or _let_244 _let_297) false _let_243 false _let_246 false _let_248)))) (let ((_let_882 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_466 :args (tptp.a1970 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_587)) :args _let_465)))) (let ((_let_883 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_291 (= U U)))))) (let ((_let_884 (not _let_366))) (let ((_let_885 (_let_296))) (let ((_let_886 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_885)) :args _let_885)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_296) _let_291))) (REFL :args (_let_884)) :args _let_550)))) (let ((_let_887 (REFL :args (_let_366)))) (let ((_let_888 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_366 0)) (CONG _let_887 (MACRO_SR_PRED_INTRO :args ((= (not _let_365) _let_289))) :args _let_550)) :args ((or _let_289 _let_366))))) (let ((_let_889 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_366 1)) (CONG _let_887 (MACRO_SR_PRED_INTRO :args ((= (not _let_364) _let_279))) :args _let_550)) :args ((or _let_279 _let_366))))) (let ((_let_890 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_366 2)) (CONG _let_887 (MACRO_SR_PRED_INTRO :args ((= (not _let_363) _let_290))) :args _let_550)) :args ((or _let_290 _let_366))))) (let ((_let_891 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_892 (not _let_891))) (let ((_let_893 (or _let_892 _let_365 _let_364))) (let ((_let_894 (or _let_365 _let_363 _let_891))) (let ((_let_895 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (tptp.c2_1 U))))) (let ((_let_896 (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V))))) (let ((_let_897 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_348 (= U U)))))) (let ((_let_898 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_899 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_380 (= U V)))))) (let ((_let_900 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_442 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_441)) :args _let_440)))) (let ((_let_901 (MACRO_RESOLUTION_TRUST _let_597 _let_473 _let_599 _let_547 _let_815 _let_900 _let_811 _let_878 _let_877 _let_879 _let_899 _let_898 _let_473 _let_897 _let_869 _let_595 _let_871 _let_821 _let_872 _let_826 _let_825 _let_824 _let_823 _let_876 _let_803 _let_802 :args ((or _let_67 _let_422 _let_858) false tptp.ndr1_0 true _let_578 true _let_316 true _let_389 true _let_353 true _let_783 true _let_403 true _let_312 false _let_423 false _let_380 false _let_896 false tptp.ndr1_0 true _let_895 true _let_348 true _let_576 true _let_857 true _let_332 false _let_396 true _let_382 true _let_68 true _let_71 false _let_201 true _let_402 true _let_309 false _let_310)))) (let ((_let_902 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_470 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_469)) :args _let_468)))) (let ((_let_903 (REORDERING (CNF_OR_POS :args (_let_893)) :args ((or _let_365 _let_364 _let_892 (not _let_893)))))) (let ((_let_904 (REORDERING (CNF_OR_POS :args (_let_894)) :args ((or _let_365 _let_363 _let_891 (not _let_894)))))) (let ((_let_905 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_632 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_631)) :args _let_630)))) (let ((_let_906 (MACRO_RESOLUTION_TRUST _let_905 _let_752 _let_904 _let_751 _let_473 _let_903 _let_635 _let_902 _let_629 _let_746 _let_743 _let_473 _let_739 _let_686 _let_697 _let_853 _let_553 _let_548 _let_546 _let_900 _let_878 _let_879 _let_494 _let_473 _let_698 _let_503 _let_691 _let_850 _let_851 _let_473 _let_901 _let_801 _let_852 _let_640 _let_321 _let_476 _let_473 _let_472 _let_889 _let_888 _let_890 _let_886 _let_882 _let_881 _let_880 :args ((or tptp.hskp20 tptp.hskp18 _let_339) false _let_357 true _let_894 false _let_411 false tptp.ndr1_0 true _let_891 true tptp.hskp29 false _let_893 false _let_407 false _let_401 false _let_400 false tptp.ndr1_0 true _let_399 true _let_288 true _let_383 false tptp.hskp21 true _let_395 true _let_315 true _let_317 true _let_353 true _let_403 false _let_423 false _let_380 false tptp.ndr1_0 true tptp.hskp13 false _let_379 false _let_376 false _let_372 false _let_847 false tptp.ndr1_0 true tptp.hskp5 true _let_422 true _let_848 false _let_397 false _let_318 false _let_319 false tptp.ndr1_0 true _let_320 false _let_279 false _let_289 false _let_290 true _let_366 true _let_291 true _let_295 false tptp.hskp27)))) (let ((_let_907 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_908 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_909 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_910 (not _let_909))) (let ((_let_911 (or _let_910 _let_908 _let_907))) (let ((_let_912 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_913 (not _let_908))) (let ((_let_914 (or _let_913 _let_907 _let_912))) (let ((_let_915 (or _let_910 _let_907 _let_912))) (let ((_let_916 (or _let_779 _let_64 _let_61))) (let ((_let_917 (or _let_892 _let_365 _let_363))) (let ((_let_918 (not _let_911))) (let ((_let_919 (not _let_914))) (let ((_let_920 (not _let_389))) (let ((_let_921 (_let_920))) (let ((_let_922 (not _let_916))) (let ((_let_923 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp18 tptp.hskp4 _let_474 _let_359))))) (let ((_let_924 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_357 (= U U)))))) (let ((_let_925 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V))))) (let ((_let_926 (not _let_250))) (let ((_let_927 (not _let_253))) (let ((_let_928 (not _let_255))) (let ((_let_929 (or _let_928 _let_927 _let_926))) (let ((_let_930 (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (tptp.c0_1 V) (tptp.c3_1 V))))) (let ((_let_931 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (tptp.c0_1 U))))) (let ((_let_932 (MACRO_RESOLUTION_TRUST _let_487 _let_614 _let_478 _let_477 _let_612 _let_475 _let_473 _let_902 _let_903 _let_904 _let_905 _let_608 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_357 (= U U)))) _let_719 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp13 _let_474 _let_931 _let_930))) _let_473 _let_718 _let_473 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_520 (= V V)))) _let_716 _let_750 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_712 :args (tptp.a1972 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_711)) :args _let_710)) _let_749 (REORDERING (CNF_OR_POS :args (_let_929)) :args ((or _let_928 _let_927 _let_926 (not _let_929)))) _let_747 (ASSUME :args (_let_252)) (ASSUME :args (_let_254)) (ASSUME :args (_let_256)) _let_745 _let_744 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp28 _let_474 _let_278 _let_925))) _let_473 _let_742 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_288 (= V V)))) :args ((or tptp.hskp20 tptp.hskp13 _let_288 _let_278 _let_486 _let_672 _let_365 _let_364 _let_363) false _let_281 true _let_131 false _let_223 false _let_225 false tptp.hskp17 false tptp.ndr1_0 true _let_401 true _let_893 false _let_891 false _let_894 false _let_581 false _let_357 false _let_580 false _let_931 false tptp.ndr1_0 false _let_655 false tptp.ndr1_0 true _let_930 true _let_654 true 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((_let_1045 (ASSUME :args (_let_192)))) (let ((_let_1046 (REORDERING (ASSUME :args (_let_54)) :args ((or _let_51 _let_53))))) (let ((_let_1047 (not _let_968))) (let ((_let_1048 (REORDERING (CNF_OR_POS :args (_let_968)) :args ((or _let_52 _let_967 _let_966 _let_1047))))) (let ((_let_1049 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_735 :args (tptp.a1971 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_734)) :args _let_733)))) (let ((_let_1050 (MACRO_RESOLUTION_TRUST _let_639 _let_553 _let_549 _let_547 _let_445 _let_450 _let_636 _let_473 _let_635 _let_629 _let_475 _let_473 _let_1003 _let_881 _let_588 _let_882 _let_472 _let_476 _let_473 _let_321 _let_596 _let_993 _let_640 _let_1002 _let_1007 _let_872 _let_1000 _let_871 _let_869 _let_897 _let_898 _let_473 _let_899 _let_879 (MACRO_RESOLUTION_TRUST _let_1049 _let_1048 _let_772 _let_1046 _let_1045 _let_1044 _let_770 _let_473 _let_1043 _let_473 _let_738 _let_1042 _let_686 _let_697 _let_691 _let_1041 _let_1040 _let_473 _let_1039 _let_1037 _let_1034 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_782 (= V W)))) (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) _let_473 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_348 (= U U)))) _let_1033 _let_1032 _let_1031 _let_1030 _let_517 _let_1028 _let_1027 _let_1026 _let_1025 _let_526 _let_473 _let_801 _let_1024 _let_473 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_855 (= U V)))) _let_450 _let_878 _let_863 _let_445 _let_900 _let_859 _let_547 _let_696 _let_695 _let_694 _let_597 _let_473 _let_834 _let_473 _let_599 _let_768 _let_833 (MACRO_RESOLUTION_TRUST _let_877 _let_811 _let_803 _let_876 _let_802 _let_801 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_991)) :args ((or _let_174 _let_171 _let_168 (not _let_991)))) _let_507 _let_689 _let_506 _let_1023 _let_473 (MACRO_RESOLUTION_TRUST _let_715 _let_831 _let_704 _let_705 :args ((or _let_126 _let_830 _let_714) false _let_386 true _let_127 false _let_219)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args 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_let_953 true _let_333)) _let_974 _let_815 _let_970 _let_832 :args ((or _let_71 _let_68 _let_332 _let_381 _let_920 _let_875 _let_949) false _let_312 true _let_309 true _let_402 false _let_310 true _let_422 true _let_339 true tptp.hskp12 false _let_783 false _let_969 false _let_391)) _let_956 _let_942 _let_938 _let_933 _let_835 _let_595 :args ((or tptp.hskp18 _let_71 _let_68 _let_332 _let_381 _let_875) true _let_968 false _let_428 true _let_52 false _let_191 false _let_193 false _let_427 false tptp.ndr1_0 false tptp.hskp1 false tptp.ndr1_0 true _let_398 true _let_965 true _let_288 true _let_383 false _let_376 false _let_372 false _let_964 false tptp.ndr1_0 true tptp.hskp0 true tptp.hskp12 false _let_963 false _let_782 false (forall ((W $$unsorted)) (or (tptp.c1_1 W) (tptp.c2_1 W) (tptp.c3_1 W))) false tptp.ndr1_0 true (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (tptp.c2_1 U))) true _let_962 true _let_348 false _let_961 true _let_347 false _let_350 false _let_959 true _let_164 false _let_235 false _let_237 false _let_351 false tptp.ndr1_0 false _let_339 false tptp.hskp23 false tptp.ndr1_0 true (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (tptp.c1_1 V) (tptp.c3_1 V))) true tptp.hskp6 false _let_422 true _let_855 false _let_352 false _let_403 true _let_854 false _let_353 true _let_150 true _let_153 false _let_231 false _let_316 false tptp.ndr1_0 false tptp.hskp21 false tptp.ndr1_0 true _let_578 true _let_425 true _let_385 true _let_389 true _let_949 true _let_328 true _let_327 false tptp.hskp20 true _let_384 true _let_576)) _let_821 _let_826 _let_825 _let_824 _let_823 _let_956 _let_942 _let_938 _let_933 :args ((or tptp.hskp18 _let_67) true _let_395 true _let_392 true _let_316 true _let_353 true _let_352 false tptp.hskp6 false tptp.ndr1_0 true tptp.hskp29 false _let_407 false _let_401 false tptp.ndr1_0 true tptp.hskp17 true tptp.hskp27 false _let_564 false _let_295 false _let_291 false _let_320 false tptp.ndr1_0 true _let_319 true _let_577 true _let_339 true _let_318 true _let_575 true _let_953 true _let_397 true _let_950 true _let_396 false _let_857 false _let_348 false _let_895 false tptp.ndr1_0 true _let_896 true _let_380 true _let_423 true _let_332 true _let_382 true _let_68 true _let_71 false _let_201 true _let_949 true _let_328 true _let_327 false tptp.hskp20)))) (let ((_let_1051 (MACRO_RESOLUTION_TRUST _let_882 _let_472 _let_881 _let_476 _let_473 _let_540 _let_473 _let_321 _let_643 _let_747 _let_749 _let_750 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_520 (= V V)))) _let_745 _let_744 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) _let_473 _let_742 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_288 (= V W)))) :args ((or _let_288 _let_329) false _let_291 true _let_295 false _let_320 false tptp.ndr1_0 false tptp.hskp27 false tptp.ndr1_0 true _let_319 true _let_318 true _let_287 true _let_285 false _let_662 false _let_520 true _let_284 true _let_286 false (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (tptp.c0_1 V) (tptp.c3_1 V))) false tptp.ndr1_0 true _let_660 true (forall ((W $$unsorted)) (or (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c3_1 W))))))) (let ((_let_1052 (or _let_663 _let_113 _let_430))) (let ((_let_1053 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_1054 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_1055 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_1056 (not _let_1055))) (let ((_let_1057 (or _let_1056 _let_1054 _let_1053))) (let ((_let_1058 (tptp.c1_1 tptp.a2012))) (let ((_let_1059 (not _let_1058))) (let ((_let_1060 (or _let_1059 _let_160 _let_157))) (let ((_let_1061 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_1062 (not _let_1061))) (let ((_let_1063 (or _let_1062 _let_1056 _let_1054))) (let ((_let_1064 (not _let_1053))) (let ((_let_1065 (or _let_1062 _let_1056 _let_1064))) (let ((_let_1066 (or _let_1056 _let_1064 _let_1054))) (let ((_let_1067 (not _let_239))) (let ((_let_1068 (not _let_241))) (let ((_let_1069 (or _let_1068 _let_1067 _let_188))) (let ((_let_1070 (not _let_332))) (let ((_let_1071 (or _let_387 _let_700 _let_127))) (let ((_let_1072 (tptp.c0_1 tptp.a2003))) (let ((_let_1073 (not _let_1072))) (let ((_let_1074 (or _let_1073 _let_325 _let_146))) (let ((_let_1075 (or _let_326 _let_1072 _let_146))) (let ((_let_1076 (or _let_325 _let_1072 _let_146))) (let ((_let_1077 (or _let_387 _let_390 _let_386))) (let ((_let_1078 (or _let_663 _let_431 _let_113))) (let ((_let_1079 (not _let_1052))) (let ((_let_1080 (not _let_348))) (let ((_let_1081 (MACRO_RESOLUTION_TRUST _let_1030 _let_1027 _let_1026 _let_1025 :args ((or _let_163 _let_1029) true _let_164 false _let_235 false _let_237)))) (let ((_let_1082 (REORDERING (ASSUME :args (_let_273)) :args ((or tptp.hskp23 tptp.hskp8 tptp.hskp5))))) (let ((_let_1083 (not _let_341))) (let ((_let_1084 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_341)) :args ((or _let_86 _let_83 _let_340 _let_1083))) (REORDERING (ASSUME :args 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_let_390 _let_386 _let_1090))))) (let ((_let_1092 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_515 :args (tptp.a1996 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_514)) :args _let_513)))) (let ((_let_1093 (_let_1080))) (let ((_let_1094 (REFL :args (_let_1063)))) (let ((_let_1095 (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c2_1 V))))) (let ((_let_1096 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (tptp.c1_1 U))))) (let ((_let_1097 (not _let_233))) (let ((_let_1098 (or _let_1097 _let_1058 _let_160))) (let ((_let_1099 (not _let_1060))) (let ((_let_1100 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_348 (= U U)))))) (let ((_let_1101 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_353 (= U V)))))) (let ((_let_1102 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_353 (= U W)))))) (let ((_let_1103 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp8 _let_474 _let_1096 _let_1095))))) (let ((_let_1104 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_1105 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_428 (= U U)))))) (let ((_let_1106 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_360 (= U V)))))) (let ((_let_1107 (MACRO_RESOLUTION_TRUST _let_1048 _let_1046 _let_1045 _let_1044 :args ((or _let_51 _let_1047) true _let_52 false _let_191 false _let_193)))) (let ((_let_1108 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp12 tptp.hskp11 _let_474 _let_580))))) (let ((_let_1109 (REORDERING (ASSUME :args (_let_100)) :args ((or _let_94 _let_99))))) (let ((_let_1110 (REORDERING (ASSUME :args (_let_97)) :args ((or _let_94 _let_96))))) (let ((_let_1111 (tptp.c1_1 tptp.a1989))) (let ((_let_1112 (or _let_98 _let_1111 _let_95))) (let ((_let_1113 (not _let_1111))) (let ((_let_1114 (or _let_1113 _let_98 _let_95))) (let ((_let_1115 (MACRO_RESOLUTION_TRUST _let_532 _let_530 _let_529 _let_528 _let_526 _let_473 _let_517 _let_516 _let_512 _let_461 _let_454 _let_453 _let_452 _let_451 _let_450 _let_445 _let_549 _let_598 _let_473 _let_596 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_594 :args (tptp.a1989 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_593)) :args _let_592)) (REORDERING (CNF_OR_POS :args (_let_1114)) :args ((or _let_98 _let_95 _let_1113 (not _let_1114)))) (REORDERING (CNF_OR_POS :args (_let_1112)) :args ((or _let_98 _let_95 _let_1111 (not _let_1112)))) _let_539 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_538 :args (tptp.a1989 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_537)) :args _let_536)) _let_540 _let_473 _let_881 _let_467 _let_882 _let_472 _let_476 _let_473 _let_321 :args ((or _let_98 _let_95 _let_318 _let_579) true _let_135 true _let_138 true _let_141 false tptp.hskp18 false tptp.ndr1_0 true _let_351 true _let_350 true _let_437 true _let_434 false _let_264 false _let_267 false _let_269 false tptp.hskp30 true tptp.hskp6 false _let_352 false _let_353 false _let_392 false tptp.ndr1_0 true _let_577 true _let_575 true _let_1114 false _let_1111 false _let_322 false _let_1112 false _let_288 false tptp.ndr1_0 true tptp.hskp27 false _let_457 false _let_295 false _let_291 false _let_320 false tptp.ndr1_0 true _let_319)))) (let ((_let_1116 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1069)) :args ((or _let_188 _let_1068 _let_1067 (not _let_1069)))) (REORDERING (ASSUME :args (_let_190)) :args ((or _let_187 _let_189))) (ASSUME :args (_let_240)) (ASSUME :args (_let_242)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp26 tptp.hskp25 _let_474 _let_653))) _let_473 _let_489 _let_484 _let_1115 _let_1110 _let_1109 _let_1108 _let_473 _let_1037 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_515 :args (tptp.a2049 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_514)) :args _let_513)) _let_1031 _let_517 _let_526 _let_473 _let_450 _let_445 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1060)) :args ((or _let_160 _let_157 _let_1059 _let_1099))) (REORDERING (CNF_OR_POS :args (_let_1098)) :args ((or _let_160 _let_1097 _let_1058 (not _let_1098)))) (REORDERING (ASSUME :args (_let_159)) :args ((or _let_156 _let_158))) (REORDERING (ASSUME :args (_let_162)) :args ((or _let_156 _let_161))) (ASSUME :args (_let_234)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp22 tptp.hskp1 _let_474 _let_348))) _let_473 _let_1107 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_725 :args (tptp.a2012 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_724)) :args _let_723)) _let_1049 _let_1106 _let_1105 _let_1104 _let_473 _let_1103 _let_473 _let_1102 _let_1101 _let_1100 :args ((or tptp.hskp8 _let_353 _let_348 _let_1099) false _let_1058 true _let_157 true _let_160 false _let_233 false tptp.hskp22 false tptp.ndr1_0 true tptp.hskp1 false _let_1098 false _let_968 false _let_360 false _let_428 false _let_358 false tptp.ndr1_0 false _let_1096 false tptp.ndr1_0 true _let_356 true _let_1095 true _let_349)) _let_1084 _let_1085 _let_1028 (MACRO_RESOLUTION_TRUST _let_1089 _let_596 _let_1088 _let_598 _let_473 _let_1087 _let_549 _let_1086 _let_900 _let_850 _let_878 _let_851 _let_473 _let_801 _let_852 :args ((or tptp.hskp5 _let_146 _let_339 _let_579 _let_326 _let_325 _let_875) false _let_575 true _let_1075 false _let_577 false tptp.ndr1_0 true _let_1072 true _let_392 false _let_1074 true _let_353 false _let_372 true _let_403 false _let_847 false tptp.ndr1_0 true _let_422 true _let_848)) _let_600 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_607 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_606)) :args _let_605)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_712 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_711)) :args _let_710)) (REORDERING (CNF_OR_POS :args (_let_1066)) :args ((or _let_1056 _let_1054 _let_1064 (not _let_1066)))) (REORDERING (CNF_OR_POS :args (_let_1065)) :args ((or _let_1062 _let_1056 _let_1064 (not _let_1065)))) _let_879 (REORDERING (CNF_OR_POS :args (_let_1057)) :args ((or _let_1056 _let_1054 _let_1053 (not _let_1057)))) _let_899 (CNF_OR_NEG :args (_let_1063 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1063 1)) (CONG _let_1094 (MACRO_SR_PRED_INTRO :args ((= (not _let_1056) _let_1055))) :args _let_550)) :args ((or _let_1055 _let_1063))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1063 0)) (CONG _let_1094 (MACRO_SR_PRED_INTRO :args ((= (not _let_1062) _let_1061))) :args _let_550)) :args ((or _let_1061 _let_1063))) _let_898 _let_473 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1093)) :args _let_1093)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1080) _let_348))) (REFL :args ((not _let_1063))) :args _let_550)) _let_897 (MACRO_RESOLUTION_TRUST _let_600 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_607 :args (tptp.a1992 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_606)) :args _let_605)) _let_598 _let_473 (REORDERING (CNF_OR_POS :args (_let_1078)) :args ((or _let_113 _let_663 _let_431 (not _let_1078)))) _let_549 (REORDERING (CNF_OR_POS :args (_let_1052)) :args ((or _let_113 _let_663 _let_430 _let_1079))) _let_445 _let_542 _let_765 _let_450 _let_527 _let_473 _let_526 _let_473 _let_525 _let_517 _let_1092 _let_1091 _let_531 _let_596 (REORDERING (CNF_OR_POS :args (_let_1071)) :args ((or _let_127 _let_387 _let_700 (not _let_1071)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_535 :args (tptp.a2003 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_534)) :args _let_533)) _let_1089 _let_704 _let_705 _let_706 (REORDERING (CNF_OR_POS :args (_let_1076)) :args ((or _let_146 _let_325 _let_1072 (not _let_1076)))) _let_1088 _let_699 _let_1087 _let_697 _let_1086 _let_691 _let_850 _let_851 _let_473 _let_852 _let_1085 _let_1084 _let_1082 _let_1081 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_868 :args (tptp.a1996 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_867)) :args _let_866)) _let_1032 _let_1050 _let_686 _let_1051 _let_943 _let_942 _let_938 _let_935 _let_936 _let_937 _let_933 :args ((or tptp.hskp18 _let_1080 _let_1079) true _let_580 false _let_579 false tptp.ndr1_0 true _let_1078 true _let_392 false _let_430 true _let_353 true _let_113 false _let_217 true _let_352 false tptp.hskp14 false tptp.ndr1_0 false tptp.hskp6 false tptp.ndr1_0 true _let_518 true _let_351 true _let_350 true _let_1077 true _let_519 true _let_577 true _let_386 true _let_520 true _let_575 true _let_127 false _let_219 false _let_221 true _let_1076 true _let_1075 false tptp.hskp16 true _let_1072 true tptp.hskp21 false _let_1074 false _let_376 false _let_372 false _let_847 false tptp.ndr1_0 true _let_848 true _let_339 true _let_341 false tptp.hskp8 true tptp.hskp23 false _let_1071 false _let_347 true tptp.hskp5 false _let_383 false _let_288 true _let_329 true _let_328 true _let_327 false _let_229 false _let_227 true _let_146 false tptp.hskp20)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_591 :args (tptp.a2012 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_590)) :args _let_589)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_591 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_820)) :args _let_589)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_591 :args (tptp.a1992 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_820)) :args _let_589)) _let_1050 _let_936 _let_937 _let_935 _let_933 :args ((or tptp.hskp18 _let_1070) true _let_188 false _let_239 false _let_241 false tptp.hskp26 false tptp.ndr1_0 true tptp.hskp25 false _let_367 false _let_318 true _let_95 true _let_98 false tptp.hskp11 false tptp.ndr1_0 true tptp.hskp12 false _let_1069 false _let_961 false _let_350 false _let_351 false tptp.ndr1_0 true tptp.hskp6 false _let_352 false _let_353 true tptp.hskp8 false _let_341 false _let_959 false _let_339 true _let_579 true _let_580 true _let_653 true _let_1066 true _let_1065 false _let_423 false _let_1053 false _let_380 true _let_1054 false _let_1055 false _let_1061 false _let_896 false tptp.ndr1_0 true _let_1063 true _let_895 true _let_348 false _let_1060 false _let_1057 false _let_1052 true tptp.hskp5 false _let_227 true _let_146 false _let_229 false tptp.hskp20)))) (let ((_let_1117 (_let_1070))) (let ((_let_1118 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1117)) :args _let_1117)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1070) _let_332))) (REFL :args ((not _let_338))) :args _let_550)))) (let ((_let_1119 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_338 0)) (CONG (REFL :args (_let_338)) (MACRO_SR_PRED_INTRO :args ((= (not _let_337) _let_336))) :args _let_550)) :args ((or _let_336 _let_338))))) (let ((_let_1120 (CNF_OR_NEG :args (_let_338 1)))) (let ((_let_1121 (CNF_OR_NEG :args (_let_338 2)))) (let ((_let_1122 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_1123 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_1124 (not _let_1123))) (let ((_let_1125 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_1126 (not _let_1125))) (let ((_let_1127 (or _let_1126 _let_1124 _let_1122))) (let ((_let_1128 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_1129 (not _let_1128))) (let ((_let_1130 (or _let_1129 _let_337 _let_335))) (let ((_let_1131 (or _let_1128 _let_335 _let_334))) (let ((_let_1132 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_1133 (not _let_1132))) (let ((_let_1134 (not _let_1122))) (let ((_let_1135 (or _let_1124 _let_1134 _let_1133))) (let ((_let_1136 (or _let_1126 _let_1124 _let_1133))) (let ((_let_1137 (REORDERING (CNF_OR_POS :args (_let_1131)) :args ((or _let_335 _let_334 _let_1128 (not _let_1131)))))) (let ((_let_1138 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_483 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_641)) :args _let_481)))) (let ((_let_1139 (not _let_1127))) (let ((_let_1140 (not _let_1135))) (let ((_let_1141 (REFL :args (_let_1136)))) (let ((_let_1142 (not _let_653))) (let ((_let_1143 (_let_1142))) (let ((_let_1144 (or _let_1129 _let_337 _let_334))) (let ((_let_1145 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_362)) :args ((or _let_64 _let_61 _let_361 (not _let_362)))) _let_797 _let_796 _let_795 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_725 :args (tptp.a1975 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_724)) :args _let_723)) _let_923 _let_473 _let_1106 _let_924 _let_1104 _let_473 _let_633 _let_1102 _let_637 _let_445 (REORDERING (CNF_OR_POS :args (_let_344)) :args ((or _let_78 _let_343 _let_342 (not _let_344)))) _let_450 _let_448 _let_447 _let_526 _let_473 _let_517 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_1137 (REORDERING (CNF_OR_POS :args (_let_1144)) :args ((or _let_337 _let_334 _let_1129 (not _let_1144)))) _let_1138 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1010 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1009)) :args _let_1008)) _let_1115 _let_1011 _let_1110 _let_1109 _let_1014 _let_473 _let_1108 _let_473 _let_1016 _let_600 _let_717 _let_715 _let_1091 _let_704 _let_705 _let_706 _let_1023 _let_473 _let_1012 _let_1032 _let_1081 _let_1082 (MACRO_RESOLUTION_TRUST _let_865 _let_690 _let_689 _let_506 :args ((or _let_167 _let_864 _let_688) false _let_330 true _let_171 true _let_174)) _let_1084 _let_1037 _let_870 _let_1085 _let_1028 :args ((or tptp.hskp5 _let_333 _let_799 _let_337 _let_335 _let_334 _let_688 _let_1035 _let_1090) true _let_1128 false _let_1131 false _let_1144 false _let_318 false _let_976 true _let_95 true _let_98 false _let_977 false tptp.ndr1_0 false tptp.hskp11 false tptp.ndr1_0 true _let_980 true _let_579 true _let_580 true _let_702 false _let_386 true _let_127 false _let_219 false _let_221 false tptp.hskp16 false tptp.ndr1_0 true _let_978 true _let_348 true _let_347 false tptp.hskp23 true tptp.hskp24 true tptp.hskp8 true tptp.hskp12 false _let_370 false _let_341 false _let_959)) _let_1092 _let_1031 :args ((or tptp.hskp5 _let_333 _let_799 (not _let_350) _let_337 _let_335 _let_334 _let_688) false _let_1077 false _let_961)) _let_1100 _let_1032 _let_1081 _let_1082 _let_1084 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_627 :args (tptp.a1979 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_626)) :args _let_625)) _let_1085 (MACRO_RESOLUTION_TRUST _let_691 _let_850 (MACRO_RESOLUTION_TRUST _let_897 _let_1032 _let_898 _let_473 _let_1030 _let_899 _let_1027 _let_1026 _let_1025 _let_879 _let_1024 _let_473 _let_450 _let_878 _let_863 _let_445 _let_900 _let_859 _let_547 _let_696 _let_695 _let_694 _let_597 _let_473 _let_834 _let_473 _let_599 _let_833 (MACRO_RESOLUTION_TRUST _let_699 (MACRO_RESOLUTION_TRUST _let_708 _let_831 _let_704 _let_705 _let_706 :args ((or _let_126 _let_830 _let_707) false _let_386 true _let_127 false _let_219 false _let_221)) _let_697 _let_713 _let_686 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1143)) :args _let_1143)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1142) _let_653))) (REFL :args ((not _let_1136))) :args _let_550)) _let_540 _let_473 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1135)) :args ((or _let_1124 _let_1133 _let_1134 _let_1140))) (REORDERING (CNF_OR_POS :args (_let_1127)) :args ((or _let_1126 _let_1124 _let_1122 _let_1139))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1136 2)) (CONG _let_1141 (MACRO_SR_PRED_INTRO :args ((= (not _let_1133) _let_1132))) :args _let_550)) :args ((or _let_1132 _let_1136))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1136 1)) (CONG _let_1141 (MACRO_SR_PRED_INTRO :args ((= (not _let_1124) _let_1123))) :args _let_550)) :args ((or _let_1123 _let_1136))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1136 0)) (CONG _let_1141 (MACRO_SR_PRED_INTRO :args ((= (not _let_1126) _let_1125))) :args _let_550)) :args ((or _let_1125 _let_1136))) :args ((or _let_1136 _let_1140 _let_1139) false _let_1122 false _let_1132 false _let_1123 false _let_1125)) _let_881 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_466 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_587)) :args _let_465)) _let_882 _let_472 _let_476 _let_473 _let_321 _let_1138 _let_1137 (REORDERING (CNF_OR_POS :args (_let_1130)) :args ((or _let_337 _let_335 _let_1129 (not _let_1130)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_868 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_867)) :args _let_866)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_868 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_867)) :args _let_866)) _let_897 _let_898 _let_473 _let_899 _let_879 _let_877 _let_811 _let_815 _let_832 :args ((or tptp.hskp18 _let_920 _let_311 _let_402 _let_309 _let_337 _let_335 _let_334 _let_692) true tptp.hskp16 true tptp.hskp21 false _let_701 false _let_383 false _let_653 false _let_288 false tptp.ndr1_0 false _let_1136 true tptp.hskp27 false _let_1135 false _let_295 false _let_291 false _let_320 false tptp.ndr1_0 true _let_319 true _let_318 true _let_1131 true _let_1128 false _let_1130 false _let_1127 false _let_348 false _let_895 false tptp.ndr1_0 true _let_896 true _let_380 true _let_423 false _let_312 false _let_783 false _let_391)) _let_1121 _let_1120 _let_1119 _let_1118 _let_595 _let_835 _let_803 _let_802 _let_876 :args ((or tptp.hskp18 _let_332 _let_422 _let_692) true _let_348 false _let_895 false tptp.ndr1_0 true _let_347 true _let_896 true _let_164 false _let_235 false _let_237 true _let_380 false tptp.hskp23 false tptp.ndr1_0 true tptp.hskp6 true _let_423 true _let_855 false _let_352 false _let_403 true _let_854 false _let_353 true _let_150 true _let_153 false _let_231 false _let_316 false tptp.ndr1_0 false tptp.hskp21 false tptp.ndr1_0 true _let_578 true _let_385 true _let_389 true _let_334 true _let_335 false _let_336 true _let_338 true _let_576 true _let_384 true _let_309 false _let_310 true _let_402)) _let_851 _let_473 _let_801 _let_852 _let_1050 _let_1116 :args ((or tptp.hskp18 _let_339) false _let_372 true _let_376 false _let_847 false tptp.ndr1_0 true _let_422 true _let_848 true tptp.hskp5 true _let_332)) _let_1121 _let_1120 _let_1119 _let_1118 _let_992 _let_1116 _let_687 _let_1051 _let_1050 _let_943 _let_942 _let_938 _let_933 :args (tptp.hskp18 true _let_61 true _let_64 false _let_199 false _let_362 false tptp.hskp4 false tptp.ndr1_0 false _let_360 true _let_359 false _let_358 false tptp.ndr1_0 true _let_357 true _let_356 true _let_355 true _let_353 false _let_342 true _let_352 true _let_78 false _let_203 false tptp.hskp6 false tptp.ndr1_0 true _let_351 true _let_350 true _let_349 true _let_348 true _let_347 false tptp.hskp23 true tptp.hskp8 false _let_344 false _let_341 false _let_339 true _let_334 true _let_335 false _let_336 true _let_338 true _let_333 true _let_332 false _let_331 false _let_288 true tptp.hskp5 true _let_329 true _let_328 true _let_327 false tptp.hskp20)))) (let ((_let_1146 (MACRO_RESOLUTION_TRUST _let_539 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_532 _let_530 _let_528 :args ((or _let_134 _let_138 _let_324) true _let_135 true _let_141)) _let_1145 (MACRO_RESOLUTION_TRUST _let_529 _let_1145 :args (_let_139 false tptp.hskp18)) :args (_let_324 false tptp.hskp18 true _let_138)) :args (_let_323 true _let_322)))) (let ((_let_1147 (MACRO_RESOLUTION_TRUST _let_882 _let_472 _let_881 _let_476 _let_473 _let_540 _let_473 _let_1146 _let_321 :args (_let_318 false _let_291 true _let_295 false _let_320 false tptp.ndr1_0 false tptp.hskp27 false tptp.ndr1_0 true _let_288 true _let_319)))) (let ((_let_1148 (MACRO_RESOLUTION_TRUST _let_643 _let_1147 :args (_let_287 false _let_318)))) (let ((_let_1149 (or _let_661 _let_659 _let_284))) (let ((_let_1150 (not _let_1149))) (let ((_let_1151 (MACRO_RESOLUTION_TRUST _let_742 _let_1146 :args (_let_740 true _let_288)))) (let ((_let_1152 (MACRO_RESOLUTION_TRUST _let_745 _let_1151 :args ((not _let_284) true _let_660)))) (let ((_let_1153 (MACRO_RESOLUTION_TRUST _let_744 _let_1151 :args ((not _let_286) true _let_660)))) (let ((_let_1154 (MACRO_RESOLUTION_TRUST _let_747 _let_1153 _let_1152 _let_1148 :args (_let_285 true _let_286 true _let_284 false _let_287)))) (let ((_let_1155 (MACRO_RESOLUTION_TRUST _let_790 _let_1151 :args ((not _let_659) true _let_660)))) (let ((_let_1156 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (tptp.c2_1 U))))) (let ((_let_1157 (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (tptp.c0_1 V) (tptp.c1_1 V))))) (let ((_let_1158 (tptp.c3_1 tptp.a1974))) (let ((_let_1159 (not _let_195))) (let ((_let_1160 (not _let_197))) (let ((_let_1161 (or _let_1160 _let_1159 _let_1158))) (let ((_let_1162 (not _let_1158))) (let ((_let_1163 (or _let_1159 _let_1162 _let_57))) (let ((_let_1164 (MACRO_RESOLUTION_TRUST _let_943 (MACRO_RESOLUTION_TRUST _let_1051 _let_1146 :args (_let_329 true _let_288)) :args (_let_328 false _let_329)))) (let ((_let_1165 (MACRO_RESOLUTION_TRUST _let_1081 (MACRO_RESOLUTION_TRUST _let_1032 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1163)) :args ((or _let_57 _let_1159 _let_1162 (not _let_1163)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_492 :args (tptp.a1974 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_721)) :args _let_490)) (REORDERING (CNF_OR_POS :args (_let_1161)) :args ((or _let_1160 _let_1159 _let_1158 (not _let_1161)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_941 :args (tptp.a1974 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_940)) :args _let_939)) _let_1164 :args (_let_1161 false _let_328)) _let_899 (REORDERING (ASSUME :args (_let_59)) :args ((or _let_56 _let_58))) (ASSUME :args (_let_196)) (ASSUME :args (_let_198)) _let_898 _let_473 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp3 _let_474 _let_1156 _let_1157))) _let_473 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_777 (= U V)))) (MACRO_RESOLUTION_TRUST _let_794 (MACRO_RESOLUTION_TRUST _let_792 _let_1153 _let_1155 _let_1154 :args (_let_791 true _let_286 true _let_659 false _let_285)) :args ((not _let_777) true _let_776)) :args ((not _let_1157) true _let_777)) _let_897 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_348 (= U U)))) :args (_let_348 false _let_1163 false _let_1158 false _let_1161 false _let_380 true _let_57 false _let_195 false _let_197 false _let_896 false tptp.ndr1_0 false tptp.hskp3 false tptp.ndr1_0 true _let_1157 true _let_895 true _let_1156)) :args (_let_347 false _let_348)) :args (_let_163 false _let_347)))) (let ((_let_1166 (MACRO_RESOLUTION_TRUST _let_445 (MACRO_RESOLUTION_TRUST _let_450 (MACRO_RESOLUTION_TRUST _let_1024 _let_1165 _let_473 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_862 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_861)) :args _let_860)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1149)) :args ((or _let_659 _let_284 _let_661 _let_1150))) _let_1155 _let_1152 _let_1154 :args (_let_1150 true _let_659 true _let_284 false _let_285)) :args ((not _let_855) true _let_1149)) :args (tptp.hskp6 true tptp.hskp23 false tptp.ndr1_0 true _let_855)) :args (_let_446 false tptp.hskp6)) :args (_let_439 true _let_352)))) (let ((_let_1167 (MACRO_RESOLUTION_TRUST _let_553 _let_1166 :args (_let_551 true _let_353)))) (let ((_let_1168 (MACRO_RESOLUTION_TRUST _let_640 _let_1147 :args (_let_397 false _let_318)))) (let ((_let_1169 (MACRO_RESOLUTION_TRUST _let_938 (MACRO_RESOLUTION_TRUST _let_942 _let_1164 :args (_let_327 false _let_328)) :args (_let_145 false _let_327)))) (let ((_let_1170 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_503 _let_698 _let_1041 _let_932 _let_1146 _let_1169 _let_1040 _let_473 _let_643 _let_1039 _let_321 _let_1034 _let_890 _let_889 _let_888 _let_476 _let_473 _let_1017 _let_886 _let_883 _let_472 _let_1015 _let_473 _let_882 _let_974 _let_881 _let_970 _let_545 _let_1169 _let_768 _let_1101 _let_770 _let_473 (MACRO_RESOLUTION_TRUST _let_738 _let_1146 :args ((not _let_398) true _let_288)) _let_1103 _let_473 _let_772 _let_1105 _let_493 _let_1049 _let_899 _let_1107 _let_898 _let_473 _let_1043 _let_473 (MACRO_RESOLUTION_TRUST _let_1042 _let_1146 :args ((not _let_965) true _let_288)) _let_897 _let_1013 _let_1033 :args ((or tptp.hskp8 _let_348) true _let_379 false _let_372 false tptp.hskp13 true _let_288 true tptp.hskp20 false _let_964 false tptp.ndr1_0 false _let_287 true tptp.hskp0 false _let_318 false _let_963 false _let_290 false _let_279 false _let_289 false _let_319 false tptp.ndr1_0 false _let_782 true _let_366 true _let_278 true _let_320 false _let_981 false tptp.ndr1_0 true _let_291 true tptp.hskp12 true _let_295 false _let_969 false tptp.hskp27 true tptp.hskp20 false _let_389 false _let_353 false _let_425 false tptp.ndr1_0 true _let_398 false _let_1095 false tptp.ndr1_0 true _let_427 true _let_1096 false _let_283 true _let_428 false _let_380 true _let_968 false _let_896 false tptp.ndr1_0 false tptp.hskp1 false tptp.ndr1_0 true _let_965 true _let_895 true _let_979 true _let_962)) _let_1084 _let_869 _let_1085 _let_871 _let_801 _let_872 _let_1168 _let_901 _let_1168 _let_825 _let_824 _let_823 :args (_let_67 true tptp.hskp8 true _let_348 false _let_341 true _let_857 false _let_339 false _let_396 false _let_397 false _let_422 false _let_397 true _let_68 true _let_71 false _let_201)))) (let ((_let_1171 (MACRO_RESOLUTION_TRUST _let_1085 (MACRO_RESOLUTION_TRUST _let_1084 (MACRO_RESOLUTION_TRUST _let_1082 _let_1165 _let_1170 :args (tptp.hskp8 true tptp.hskp23 true tptp.hskp5)) :args (_let_1083 false tptp.hskp8)) :args (_let_799 true _let_341)))) (let ((_let_1172 (MACRO_RESOLUTION_TRUST _let_698 (MACRO_RESOLUTION_TRUST _let_503 (MACRO_RESOLUTION_TRUST _let_850 (MACRO_RESOLUTION_TRUST _let_851 _let_1170 _let_473 (MACRO_RESOLUTION_TRUST _let_852 _let_1171 :args ((not _let_848) true _let_339)) :args (_let_847 true tptp.hskp5 false tptp.ndr1_0 true _let_848)) :args (_let_372 false _let_847)) :args (_let_379 false _let_372)) :args (_let_108 false _let_379)))) (let ((_let_1173 (MACRO_RESOLUTION_TRUST _let_494 _let_1169 _let_1172 _let_473 :args (_let_380 true tptp.hskp20 true tptp.hskp13 false tptp.ndr1_0)))) (let ((_let_1174 (MACRO_RESOLUTION_TRUST _let_801 _let_1171 :args (_let_798 true _let_339)))) (let ((_let_1175 (MACRO_RESOLUTION_TRUST _let_882 (MACRO_RESOLUTION_TRUST _let_881 (MACRO_RESOLUTION_TRUST _let_828 _let_1146 (MACRO_RESOLUTION_TRUST _let_546 _let_1166 :args ((not _let_317) true _let_353)) (MACRO_RESOLUTION_TRUST _let_547 _let_1166 :args ((not _let_316) true _let_353)) (MACRO_RESOLUTION_TRUST _let_548 _let_1166 :args ((not _let_315) true _let_353)) (MACRO_RESOLUTION_TRUST _let_873 (MACRO_RESOLUTION_TRUST _let_877 (MACRO_RESOLUTION_TRUST _let_802 _let_1174 :args (_let_310 true _let_422)) (MACRO_RESOLUTION_TRUST _let_876 _let_1174 :args ((not _let_402) true _let_422)) (MACRO_RESOLUTION_TRUST _let_879 _let_1173 :args (_let_423 false _let_380)) :args (_let_313 false _let_310 true _let_402 false _let_423)) :args (_let_314 true _let_312)) (MACRO_RESOLUTION_TRUST _let_554 _let_1167 :args (_let_308 true _let_395)) (MACRO_RESOLUTION_TRUST _let_555 _let_1167 :args ((not _let_307) true _let_395)) (MACRO_RESOLUTION_TRUST _let_556 _let_1167 :args ((not _let_306) true _let_395)) (MACRO_RESOLUTION_TRUST _let_642 _let_1147 :args (_let_305 false _let_318)) _let_1148 (MACRO_RESOLUTION_TRUST _let_644 _let_1147 :args (_let_301 false _let_318)) :args (tptp.hskp27 true _let_288 true _let_317 true _let_316 true _let_315 false _let_314 false _let_308 true _let_307 true _let_306 false _let_305 false _let_287 false _let_301)) :args (_let_297 false tptp.hskp27)) :args (_let_296 true _let_295)))) (let ((_let_1176 (MACRO_RESOLUTION_TRUST _let_886 _let_1175 :args (_let_884 true _let_291)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_932 (MACRO_RESOLUTION_TRUST _let_890 _let_1176 :args (_let_290 true _let_366)) (MACRO_RESOLUTION_TRUST _let_888 _let_1176 :args (_let_289 true _let_366)) _let_1146 _let_1148 _let_1172 (MACRO_RESOLUTION_TRUST _let_493 _let_1173 :args (_let_283 false _let_380)) _let_1169 (MACRO_RESOLUTION_TRUST _let_889 _let_1176 :args (_let_279 true _let_366)) (MACRO_RESOLUTION_TRUST _let_883 _let_1175 :args ((not _let_278) true _let_291)) :args (false false _let_290 false _let_289 true _let_288 false _let_287 true tptp.hskp13 false _let_283 true tptp.hskp20 false _let_279 true _let_278)) :args ((or _let_265 tptp.ndr1_0) (or _let_258 tptp.ndr1_0) _let_277 (or _let_244 tptp.ndr1_0) (or _let_187 tptp.ndr1_0) (or _let_177 tptp.ndr1_0) (or _let_167 tptp.ndr1_0) (or _let_163 tptp.ndr1_0) (or _let_156 tptp.ndr1_0) _let_276 (or _let_145 tptp.ndr1_0) (or _let_144 tptp.ndr1_0) (or _let_134 tptp.ndr1_0) (or _let_130 tptp.ndr1_0) (or _let_126 tptp.ndr1_0) (or _let_119 tptp.ndr1_0) (or _let_112 tptp.ndr1_0) (or _let_108 tptp.ndr1_0) (or _let_101 tptp.ndr1_0) (or _let_94 tptp.ndr1_0) (or _let_90 tptp.ndr1_0) (or _let_89 tptp.ndr1_0) (or _let_82 tptp.ndr1_0) (or _let_81 tptp.ndr1_0) (or _let_74 tptp.ndr1_0) (or _let_67 tptp.ndr1_0) (or _let_60 tptp.ndr1_0) (or _let_56 tptp.ndr1_0) (or _let_55 tptp.ndr1_0) _let_275 (or _let_41 tptp.ndr1_0) _let_274 _let_273 _let_272 (or tptp.hskp16 tptp.hskp19 tptp.hskp15) _let_271 _let_270 _let_268 _let_266 _let_263 _let_261 _let_259 _let_256 _let_254 _let_252 _let_249 _let_247 _let_245 _let_242 _let_240 _let_238 _let_236 _let_234 _let_232 _let_230 _let_228 (or _let_144 (tptp.c2_1 tptp.a2001)) (or _let_144 (tptp.c3_1 tptp.a2001)) _let_226 _let_224 _let_222 _let_220 (or _let_119 (tptp.c2_1 tptp.a1993)) _let_218 _let_216 _let_214 _let_212 (or _let_94 (tptp.c2_1 tptp.a1989)) _let_210 _let_208 (or _let_89 (tptp.c1_1 tptp.a1985)) _let_206 (or _let_81 (tptp.c0_1 tptp.a1981)) (or _let_81 (tptp.c1_1 tptp.a1981)) _let_204 _let_202 _let_200 _let_198 _let_196 (or _let_55 (tptp.c1_1 tptp.a1973)) (or _let_55 (tptp.c3_1 tptp.a1973)) _let_194 _let_192 _let_190 _let_186 _let_183 _let_180 _let_176 _let_173 _let_170 _let_166 _let_162 _let_159 _let_155 _let_152 _let_148 (or (not (tptp.c0_1 tptp.a2001)) _let_144) _let_143 _let_140 _let_137 _let_133 _let_129 _let_125 _let_122 _let_118 _let_115 _let_111 _let_107 _let_104 _let_100 _let_97 _let_93 (or (not (tptp.c0_1 tptp.a1985)) _let_89) (or (not (tptp.c3_1 tptp.a1985)) _let_89) _let_88 _let_85 (or (not (tptp.c3_1 tptp.a1981)) _let_81) _let_80 _let_77 _let_73 _let_70 _let_66 _let_63 _let_59 (or (not (tptp.c2_1 tptp.a1973)) _let_55) _let_54 _let_50 _let_47 _let_44 _let_40 _let_39 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp28 tptp.hskp8)) (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp9 tptp.hskp11)) _let_38 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp4 tptp.hskp10)) (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp1 tptp.hskp10)) (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp22 tptp.hskp2)) _let_37 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp3 tptp.hskp17)) _let_36 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp16 tptp.hskp15)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp13 tptp.hskp17)) _let_35 _let_34 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp10 tptp.hskp11)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp30 tptp.hskp15)) _let_33 _let_32 _let_31 _let_30 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp4 tptp.hskp17)) _let_29 _let_28 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp14 tptp.hskp10)) _let_27 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) tptp.hskp1 tptp.hskp4)) (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) tptp.hskp3 tptp.hskp8)) _let_26 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp4 tptp.hskp11)) _let_25 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp0)) (forall ((U $$unsorted) (V $$unsorted)) (or (not tptp.ndr1_0) (not (tptp.c2_1 U)) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp2)) _let_24 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp1)) _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp7)) _let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp9)) _let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp10)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp12)) _let_14 _let_13 _let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) tptp.hskp3)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp10)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) tptp.hskp19)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V) tptp.hskp16)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 V) tptp.hskp27)) _let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c3_1 V) tptp.hskp10)) _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 (forall ((U $$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.c3_1 V)) (not (tptp.c0_1 W)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c1_1 W) (tptp.c2_1 W))) _let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c1_1 W)) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.60/0.80 )
% 0.60/0.80 % SZS output end Proof for SYN484-1
% 0.60/0.81 % cvc5---1.0.5 exiting
% 0.60/0.81 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------