TSTP Solution File: SYN507-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN507-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 02:03:45 EDT 2023
% Result : Unsatisfiable 0.22s 0.75s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN507-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 19:47:03 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.7Fn8Sm9Seq/cvc5---1.0.5_2569.p...
% 0.22/0.53 ------- get file name : TPTP file name is SYN507-1
% 0.22/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2569.smt2...
% 0.22/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.75 % SZS status Unsatisfiable for SYN507-1
% 0.22/0.75 % SZS output start Proof for SYN507-1
% 0.22/0.78 (
% 0.22/0.78 (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c3_1 W)) (tptp.c2_1 V) (tptp.c1_1 W) (tptp.c2_1 W))))) (let ((_let_2 (forall ((U $$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.c3_1 V)) (not (tptp.c1_1 W)) (not (tptp.c2_1 W)) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c0_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c1_1 W))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c0_1 W) (tptp.c3_1 W))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c0_1 W) (tptp.c2_1 W) (tptp.c3_1 W))))) (let ((_let_7 (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)) (not (tptp.c2_1 V)) tptp.hskp10)))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c3_1 W))))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 V) tptp.hskp14)))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 V) tptp.hskp15)))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c2_1 V)) (tptp.c0_1 V) tptp.hskp12)))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) tptp.hskp8)))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp9)))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c3_1 U) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp8)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp23)))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp16)))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp28)))) (let ((_let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp27)))) (let ((_let_19 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp17)))) (let ((_let_20 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp11)))) (let ((_let_21 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp8)))) (let ((_let_22 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp3)))) (let ((_let_23 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp14)))) (let ((_let_24 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp18)))) (let ((_let_25 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp16)))) (let ((_let_26 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp1)))) (let ((_let_27 (forall ((U $$unsorted) (V $$unsorted)) (or (not tptp.ndr1_0) (not (tptp.c3_1 U)) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp26)))) (let ((_let_28 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp2)))) (let ((_let_29 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp12 tptp.hskp10)))) (let ((_let_30 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp19 tptp.hskp20)))) (let ((_let_31 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp29 tptp.hskp14)))) (let ((_let_32 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp7 tptp.hskp20)))) (let ((_let_33 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp14 tptp.hskp22)))) (let ((_let_34 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp27 tptp.hskp8)))) (let ((_let_35 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp3 tptp.hskp17)))) (let ((_let_36 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp3 tptp.hskp17)))) (let ((_let_37 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp15 tptp.hskp11)))) (let ((_let_38 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp21 tptp.hskp8)))) (let ((_let_39 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp5 tptp.hskp24)))) (let ((_let_40 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp0 tptp.hskp11)))) (let ((_let_41 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp14 tptp.hskp23)))) (let ((_let_42 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp11 tptp.hskp23)))) (let ((_let_43 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp10 tptp.hskp4)))) (let ((_let_44 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp7 tptp.hskp20)))) (let ((_let_45 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp19 tptp.hskp13)))) (let ((_let_46 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp25 tptp.hskp9)))) (let ((_let_47 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp8 tptp.hskp6)))) (let ((_let_48 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp3 tptp.hskp16)))) (let ((_let_49 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp28 tptp.hskp8)))) (let ((_let_50 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp21 tptp.hskp11)))) (let ((_let_51 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c3_1 U) tptp.hskp8 tptp.hskp18)))) (let ((_let_52 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp10 tptp.hskp7)))) (let ((_let_53 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp8 tptp.hskp6)))) (let ((_let_54 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp2 tptp.hskp7)))) (let ((_let_55 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) tptp.hskp5 tptp.hskp6)))) (let ((_let_56 (not tptp.hskp0))) (let ((_let_57 (tptp.c2_1 tptp.a584))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56))) (let ((_let_60 (tptp.c0_1 tptp.a584))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_56))) (let ((_let_63 (not tptp.hskp1))) (let ((_let_64 (tptp.c0_1 tptp.a585))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63))) (let ((_let_67 (not tptp.hskp2))) (let ((_let_68 (tptp.c3_1 tptp.a586))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_67))) (let ((_let_71 (not tptp.hskp3))) (let ((_let_72 (tptp.c1_1 tptp.a587))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_71))) (let ((_let_75 (not tptp.hskp4))) (let ((_let_76 (tptp.c2_1 tptp.a588))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_75))) (let ((_let_79 (tptp.c1_1 tptp.a588))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_80 _let_75))) (let ((_let_82 (not tptp.hskp5))) (let ((_let_83 (tptp.c2_1 tptp.a589))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_84 _let_82))) (let ((_let_86 (not tptp.hskp6))) (let ((_let_87 (tptp.c0_1 tptp.a590))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_86))) (let ((_let_90 (not tptp.hskp7))) (let ((_let_91 (tptp.c3_1 tptp.a592))) (let ((_let_92 (not _let_91))) (let ((_let_93 (or _let_92 _let_90))) (let ((_let_94 (tptp.c0_1 tptp.a592))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_95 _let_90))) (let ((_let_97 (not tptp.hskp8))) (let ((_let_98 (tptp.c2_1 tptp.a593))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_97))) (let ((_let_101 (not tptp.hskp9))) (let ((_let_102 (tptp.c3_1 tptp.a595))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_101))) (let ((_let_105 (tptp.c1_1 tptp.a595))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_106 _let_101))) (let ((_let_108 (tptp.c0_1 tptp.a595))) (let ((_let_109 (not _let_108))) (let ((_let_110 (or _let_109 _let_101))) (let ((_let_111 (not tptp.hskp10))) (let ((_let_112 (tptp.c1_1 tptp.a598))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_113 _let_111))) (let ((_let_115 (not tptp.hskp11))) (let ((_let_116 (tptp.c1_1 tptp.a599))) (let ((_let_117 (not _let_116))) (let ((_let_118 (or _let_117 _let_115))) (let 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_let_296)))) (let ((_let_752 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_49)) (MACRO_SR_EQ_INTRO :args (_let_49 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp28 tptp.hskp8 _let_340 _let_464))))) (let ((_let_753 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_463 (= U U)))))) (let ((_let_754 (_let_463))) (let ((_let_755 ((not (= (tptp.c1_1 U) true))))) (let ((_let_756 (ASSUME :args _let_754))) (let ((_let_757 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_756 :args (tptp.a603 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_755)) :args _let_754)))) (let ((_let_758 (not _let_462))) (let ((_let_759 (ASSUME :args (_let_254)))) (let ((_let_760 (REORDERING (ASSUME :args (_let_136)) :args ((or _let_130 _let_135))))) (let ((_let_761 (REORDERING (ASSUME :args (_let_133)) :args ((or _let_130 _let_132))))) (let ((_let_762 (REORDERING (CNF_OR_POS :args (_let_462)) :args ((or _let_134 _let_460 _let_458 _let_758))))) (let ((_let_763 (REORDERING (CNF_OR_POS :args (_let_461)) :args ((or _let_131 _let_460 _let_459 _let_743))))) 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((_let_774 (CNF_OR_NEG :args (_let_741 2)))) (let ((_let_775 (not _let_470))) (let ((_let_776 (_let_775))) (let ((_let_777 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_776)) :args _let_776)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_775) _let_470))) (REFL :args ((not _let_741))) :args _let_558)))) (let ((_let_778 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_47)) (MACRO_SR_EQ_INTRO :args (_let_47 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp8 tptp.hskp6 _let_340 _let_692))))) (let ((_let_779 (_let_692))) (let ((_let_780 ((not (= (tptp.c1_1 U) false))))) (let ((_let_781 (ASSUME :args _let_779))) (let ((_let_782 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_781 :args (tptp.a606 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_780)) :args _let_779)))) (let ((_let_783 (not _let_694))) (let ((_let_784 (ASSUME :args (_let_260)))) (let ((_let_785 (REORDERING (ASSUME :args (_let_147)) :args ((or _let_141 _let_146))))) (let ((_let_786 (REORDERING (ASSUME :args (_let_144)) :args ((or _let_141 _let_143))))) (let ((_let_787 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_694)) :args ((or _let_145 _let_142 _let_693 _let_783))) _let_786 _let_785 _let_784 :args ((or _let_141 _let_783) true _let_142 true _let_145 false _let_259)))) (let ((_let_788 (not _let_737))) (let ((_let_789 (not _let_742))) (let ((_let_790 (ASSUME :args (_let_212)))) (let ((_let_791 (REORDERING (ASSUME :args (_let_62)) :args ((or _let_56 _let_61))))) (let ((_let_792 (REORDERING (ASSUME :args (_let_59)) :args ((or _let_56 _let_58))))) (let ((_let_793 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_48)) (MACRO_SR_EQ_INTRO :args (_let_48 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp16 tptp.hskp3 _let_340 _let_425))))) (let ((_let_794 (MACRO_RESOLUTION_TRUST _let_648 _let_653 (REORDERING (ASSUME :args (_let_305)) :args ((or tptp.hskp21 tptp.hskp14 tptp.hskp0))) _let_793 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_742)) :args ((or _let_57 _let_736 _let_734 _let_789))) (REORDERING (CNF_OR_POS :args (_let_737)) :args ((or _let_60 _let_736 _let_735 _let_788))) _let_792 _let_791 _let_790 :args ((or _let_56 _let_789 _let_788) true _let_734 true _let_57 true _let_60 false _let_211)) _let_787 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_781 :args (tptp.a584 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_780)) :args _let_779)) _let_782 _let_778 _let_510 _let_515 _let_777 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_740)) :args ((or _let_739 _let_730 _let_731 _let_769))) (REORDERING (CNF_OR_POS :args (_let_733)) :args ((or _let_730 _let_728 _let_732 _let_770))) _let_774 _let_773 _let_772 :args ((or _let_741 _let_770 _let_769) true _let_731 true _let_728 false _let_729 false _let_738)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_768 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_767)) :args _let_766)) _let_765 _let_764 _let_757 _let_753 _let_752 _let_751 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_599 :args (tptp.a584 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_663)) :args _let_597)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_599 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_598)) :args _let_597)) _let_746 :args ((or tptp.hskp23 tptp.hskp8 tptp.hskp3 _let_340 _let_745 _let_744 _let_743) false _let_430 false tptp.hskp21 false _let_425 true tptp.hskp0 true tptp.hskp16 false _let_742 false _let_694 false _let_692 true tptp.hskp6 false _let_469 false _let_470 false _let_741 false _let_740 false _let_447 true tptp.hskp14 false _let_462 false _let_463 false _let_464 true tptp.hskp28 false _let_737 false _let_733 false _let_457)))) (let ((_let_795 (not _let_336))) (let ((_let_796 (REORDERING (CNF_OR_POS :args (_let_336)) :args ((or _let_94 _let_91 _let_335 _let_795))))) (let ((_let_797 (_let_333))) (let ((_let_798 ((not (= (tptp.c2_1 U) false))))) (let ((_let_799 (ASSUME :args _let_797))) (let ((_let_800 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_799 :args (tptp.a592 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_798)) :args _let_797)))) (let ((_let_801 (not _let_333))) (let ((_let_802 (_let_801))) (let ((_let_803 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_802)) :args _let_802)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_801) _let_333))) (REFL :args ((not _let_710))) :args _let_558)))) (let ((_let_804 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_51)) (MACRO_SR_EQ_INTRO :args (_let_51 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp18 tptp.hskp8 _let_340 _let_333))))) (let ((_let_805 (not _let_342))) (let ((_let_806 (ASSUME :args (_let_264)))) (let ((_let_807 (REORDERING (ASSUME :args (_let_161)) :args ((or _let_155 _let_160))))) (let ((_let_808 (REORDERING (ASSUME :args (_let_158)) :args ((or _let_155 _let_157))))) (let ((_let_809 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_342)) :args ((or _let_159 _let_156 _let_341 _let_805))) _let_808 _let_807 _let_806 :args ((or _let_155 _let_805) true _let_156 true _let_159 false _let_263)))) (let ((_let_810 (_let_343))) (let ((_let_811 ((not (= (tptp.c2_1 V) true))))) (let ((_let_812 (ASSUME :args _let_810))) (let ((_let_813 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_812 :args (tptp.a610 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_811)) :args _let_810)))) (let ((_let_814 (not _let_343))) (let ((_let_815 (_let_814))) (let ((_let_816 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_815)) :args _let_815)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_814) _let_343))) (REFL :args ((not _let_348))) :args _let_558)))) (let ((_let_817 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_348 0)) (CONG (REFL :args (_let_348)) (MACRO_SR_PRED_INTRO :args ((= (not _let_347) _let_346))) :args _let_558)) :args ((or _let_346 _let_348))))) (let ((_let_818 (CNF_OR_NEG :args (_let_348 1)))) (let ((_let_819 (CNF_OR_NEG :args (_let_348 2)))) (let ((_let_820 (or _let_356 _let_347 _let_344))) (let ((_let_821 (not _let_355))) (let ((_let_822 (not _let_349))) (let ((_let_823 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_607 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_606)) :args _let_605)))) (let ((_let_824 (not _let_351))) (let ((_let_825 (REORDERING (CNF_OR_POS :args (_let_351)) :args ((or _let_347 _let_345 _let_350 _let_824))))) (let ((_let_826 (_let_318))) (let ((_let_827 ((not (= (tptp.c2_1 U) true))))) (let ((_let_828 (ASSUME :args _let_826))) (let ((_let_829 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp17 tptp.hskp3 _let_340 _let_318))))) (let ((_let_830 (ASSUME :args (_let_262)))) (let ((_let_831 (REORDERING (ASSUME :args (_let_154)) :args ((or _let_148 _let_153))))) (let ((_let_832 (REORDERING (ASSUME :args (_let_151)) :args ((or _let_148 _let_150))))) (let ((_let_833 (REORDERING (CNF_OR_POS :args (_let_355)) :args ((or _let_149 _let_352 _let_354 _let_821))))) (let ((_let_834 (not _let_385))) (let ((_let_835 (REORDERING (CNF_OR_POS :args (_let_385)) :args ((or _let_152 _let_352 _let_353 _let_834))))) (let ((_let_836 (MACRO_RESOLUTION_TRUST _let_835 _let_833 _let_832 _let_831 _let_830 _let_829 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_828 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_827)) :args _let_826)) (REORDERING (CNF_OR_POS :args (_let_820)) :args ((or _let_347 _let_344 _let_356 (not _let_820)))) _let_825 _let_611 _let_823 :args ((or tptp.hskp3 _let_340 _let_822 _let_347 _let_345 _let_344 _let_821) true _let_353 true _let_149 true _let_152 false _let_261 false tptp.hskp17 true _let_318 true _let_820 false _let_350 false _let_385 false _let_351)))) (let ((_let_837 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_518 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_517)) :args _let_516)))) (let ((_let_838 (not _let_713))) (let ((_let_839 (not _let_714))) (let ((_let_840 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_710 0)) (CONG (REFL :args (_let_710)) (MACRO_SR_PRED_INTRO :args ((= (not _let_709) _let_708))) :args _let_558)) :args ((or _let_708 _let_710))))) (let ((_let_841 (CNF_OR_NEG :args (_let_710 1)))) (let ((_let_842 (REORDERING (CNF_OR_POS :args (_let_713)) :args ((or _let_709 _let_707 _let_712 _let_838))))) (let ((_let_843 (MACRO_RESOLUTION_TRUST _let_842 (REORDERING (CNF_OR_POS :args (_let_714)) :args ((or _let_709 _let_706 _let_711 _let_839))) (CNF_OR_NEG :args (_let_710 2)) _let_841 _let_840 :args ((or _let_710 _let_839 _let_838) false _let_711 true _let_706 true _let_707 false _let_708)))) (let ((_let_844 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_589 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_588)) :args _let_587)))) (let ((_let_845 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_55)) (MACRO_SR_EQ_INTRO :args (_let_55 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp6 tptp.hskp5 _let_340 _let_338))))) (let ((_let_846 (ASSUME :args (_let_230)))) (let ((_let_847 (ASSUME :args (_let_228)))) (let ((_let_848 (REORDERING (ASSUME :args (_let_85)) :args ((or _let_82 _let_84))))) (let ((_let_849 (not _let_697))) (let ((_let_850 (REORDERING (CNF_OR_POS :args (_let_697)) :args ((or _let_83 _let_696 _let_695 _let_849))))) (let ((_let_851 (_let_698))) (let ((_let_852 ((not (= (tptp.c0_1 U) false))))) (let ((_let_853 (ASSUME :args _let_851))) (let ((_let_854 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_853 :args (tptp.a589 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_852)) :args _let_851)))) (let ((_let_855 (not _let_698))) (let ((_let_856 (_let_855))) (let ((_let_857 (not _let_691))) (let ((_let_858 (not _let_700))) (let ((_let_859 (REORDERING (CNF_OR_POS :args (_let_446)) :args ((or _let_116 _let_328 _let_327 (not _let_446)))))) (let ((_let_860 (not _let_412))) (let ((_let_861 (REORDERING (CNF_OR_POS :args (_let_412)) :args ((or _let_116 _let_327 _let_329 _let_860))))) (let ((_let_862 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_768 :args (tptp.a599 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_767)) :args _let_766)))) (let ((_let_863 (_let_400))) (let ((_let_864 ((not (= (tptp.c0_1 U) false))))) (let ((_let_865 (ASSUME :args _let_863))) (let ((_let_866 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_400 (= U U)))))) (let ((_let_867 (MACRO_RESOLUTION_TRUST _let_835 _let_833 _let_832 _let_831 _let_830 :args ((or _let_148 _let_821 _let_834) true _let_353 true _let_149 true _let_152 false _let_261)))) (let ((_let_868 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp17 _let_340 _let_399 _let_449))))) (let ((_let_869 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_450 (= U V)))))) (let ((_let_870 (_let_450))) (let ((_let_871 (ASSUME :args _let_870))) (let ((_let_872 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_871 :args (tptp.a610 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) true))))) :args _let_870)))) (let ((_let_873 (not _let_445))) (let ((_let_874 (not _let_452))) (let ((_let_875 (REORDERING (CNF_OR_POS :args (_let_452)) :args ((or _let_159 _let_156 _let_451 _let_874))))) (let ((_let_876 (MACRO_RESOLUTION_TRUST _let_875 (REORDERING (CNF_OR_POS :args (_let_445)) :args ((or _let_159 _let_341 _let_444 _let_873))) _let_808 _let_807 _let_806 :args ((or _let_155 _let_874 _let_873) false _let_444 true _let_156 true _let_159 false _let_263)))) (let ((_let_877 (MACRO_RESOLUTION_TRUST _let_796 _let_594 _let_593 _let_592 :args ((or _let_90 _let_795) true _let_91 true _let_94 false _let_235)))) (let ((_let_878 (MACRO_RESOLUTION_TRUST _let_751 _let_752 _let_719 _let_753 _let_674 _let_757 _let_675 _let_764 _let_669 _let_720 _let_664 _let_746 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_320 (= U U)))) _let_595 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp20 tptp.hskp7 _let_340 _let_453))) _let_877 _let_800 _let_804 _let_876 _let_872 _let_869 _let_868 _let_867 _let_676 _let_866 _let_680 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_865 :args (tptp.a599 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_864)) :args _let_863)) _let_765 _let_682 (REORDERING (CNF_OR_POS :args (_let_448)) :args ((or _let_116 _let_328 _let_330 (not _let_448)))) _let_862 _let_861 _let_859 _let_673 _let_672 _let_671 _let_717 (MACRO_RESOLUTION_TRUST _let_721 _let_649 _let_727 _let_654 _let_793 _let_655 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_652 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_651)) :args _let_650)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_691)) :args ((or _let_690 _let_686 _let_688 _let_857))) (REORDERING (CNF_OR_POS :args (_let_700)) :args ((or _let_690 _let_686 _let_687 _let_858))) (CNF_OR_NEG :args (_let_699 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_699 0)) (CONG (REFL :args (_let_699)) (MACRO_SR_PRED_INTRO :args ((= (not _let_690) _let_689))) :args _let_558)) :args ((or _let_689 _let_699))) :args ((or _let_699 _let_858 _let_857) false _let_687 true _let_686 false _let_689)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_856)) :args _let_856)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_855) _let_698))) (REFL :args ((not _let_699))) :args _let_558)) _let_854 _let_850 _let_787 _let_848 _let_847 _let_846 _let_782 _let_845 _let_778 _let_538 _let_510 _let_534 _let_515 _let_531 _let_530 _let_529 _let_520 _let_527 _let_539 _let_525 (MACRO_RESOLUTION_TRUST _let_844 _let_586 _let_843 _let_573 _let_837 _let_519 _let_511 _let_505 _let_503 _let_836 _let_819 _let_818 _let_817 _let_816 _let_813 _let_809 _let_804 _let_803 _let_800 _let_796 _let_594 _let_593 _let_592 _let_595 _let_794 _let_727 _let_567 _let_563 _let_560 _let_555 _let_553 _let_721 _let_720 _let_549 _let_548 _let_719 _let_544 _let_543 _let_717 _let_685 :args ((or tptp.hskp23 tptp.hskp20 tptp.hskp8 _let_340 _let_716 _let_715) false _let_497 true _let_714 true tptp.hskp2 false _let_713 false _let_472 false _let_381 false _let_382 true _let_384 true _let_349 true _let_344 true _let_345 false _let_346 true _let_348 true _let_343 true _let_342 false tptp.hskp18 true _let_710 true _let_333 true _let_336 true _let_91 true _let_94 false _let_235 false tptp.hskp7 true _let_359 true tptp.hskp3 false _let_496 false _let_405 false _let_495 false _let_494 false _let_488 false _let_422 false _let_461 false _let_320 true tptp.hskp27 false _let_466 false _let_485 false _let_478 false _let_355 false _let_358)) _let_705 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_704 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_703)) :args _let_702)) _let_701 _let_685 :args ((or tptp.hskp11 tptp.hskp23 tptp.hskp20 tptp.hskp8 _let_340) false _let_320 true _let_422 false _let_423 false tptp.hskp3 true _let_424 true _let_425 true _let_700 true _let_699 true _let_698 true _let_697 true tptp.hskp16 true _let_83 false _let_227 false _let_229 false _let_694 false tptp.hskp5 false _let_692 true _let_338 true tptp.hskp6 true _let_524 false _let_469 true _let_163 true _let_166 false _let_265 false _let_470 false tptp.hskp19 false _let_476 true _let_521 true _let_395 false _let_421 false _let_691 false _let_417 false _let_358)) _let_685 _let_615 _let_611 _let_610 _let_609 _let_608 (MACRO_RESOLUTION_TRUST _let_604 _let_603 _let_602 _let_601 _let_600 _let_596 _let_595 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_498)) :args ((or _let_91 _let_335 _let_473 _let_591))) (REORDERING (CNF_OR_POS :args (_let_475)) :args ((or _let_94 _let_335 _let_474 _let_590))) _let_594 _let_593 _let_592 :args ((or _let_90 _let_591 _let_590) true _let_473 true _let_91 true _let_94 false _let_235)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_589 :args (tptp.a592 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_588)) :args _let_587)) _let_586 _let_573 _let_567 _let_563 _let_560 _let_555 _let_553 _let_549 _let_548 _let_544 _let_543 _let_539 _let_520 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_518 :args (tptp.a592 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_517)) :args _let_516)) 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_let_378))) (let ((_let_916 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_917 (not _let_916))) (let ((_let_918 (or _let_917 _let_907 _let_908))) (let ((_let_919 (not _let_913))) (let ((_let_920 (or _let_919 _let_127 _let_124))) (let ((_let_921 (or _let_917 _let_907 _let_906))) (let ((_let_922 (not _let_911))) (let ((_let_923 (REORDERING (CNF_OR_POS :args (_let_911)) :args ((or _let_134 _let_131 _let_460 _let_922))))) (let ((_let_924 (_let_912))) (let ((_let_925 ((not (= (tptp.c0_1 U) false))))) (let ((_let_926 (ASSUME :args _let_924))) (let ((_let_927 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_926 :args (tptp.a603 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_925)) :args _let_924)))) (let ((_let_928 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_463 (= U U)))))) (let ((_let_929 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_359 (= U V)))))) (let ((_let_930 (_let_745))) (let ((_let_931 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_930)) :args _let_930)) (CONG (MACRO_SR_PRED_INTRO 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_let_702)))) (let ((_let_989 (REORDERING (CNF_OR_POS :args (_let_377)) :args ((or _let_376 _let_374 _let_372 (not _let_377)))))) (let ((_let_990 (REORDERING (CNF_OR_POS :args (_let_983)) :args ((or _let_376 _let_374 _let_401 (not _let_983)))))) (let ((_let_991 (REORDERING (CNF_OR_POS :args (_let_402)) :args ((or _let_376 _let_397 _let_401 (not _let_402)))))) (let ((_let_992 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_903 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_902)) :args _let_901)))) (let ((_let_993 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_566 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_565)) :args _let_564)))) (let ((_let_994 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_326 (= U U)))))) (let ((_let_995 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp9 _let_340 _let_405 _let_981))))) (let ((_let_996 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_432 (= U V)))))) (let ((_let_997 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_432 (= U W)))))) (let ((_let_998 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp11 _let_340 _let_441 _let_434))))) (let ((_let_999 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_1000 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_447 (= U U)))))) (let ((_let_1001 (or _let_379 _let_364 _let_362))) (let ((_let_1002 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_405 (= U U)))))) (let ((_let_1003 (REORDERING (CNF_OR_POS :args (_let_1001)) :args ((or _let_364 _let_362 _let_379 (not _let_1001)))))) (let ((_let_1004 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_514 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_513)) :args _let_512)))) (let ((_let_1005 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_381 (= U V)))))) (let ((_let_1006 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp12 _let_340 _let_406 _let_383))))) (let ((_let_1007 ((not (= (tptp.c2_1 U) true))))) (let ((_let_1008 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_652 :args (tptp.a623 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1007)) :args _let_650)))) (let ((_let_1009 (not _let_428))) (let ((_let_1010 (not _let_431))) (let ((_let_1011 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_428)) :args ((or _let_173 _let_170 _let_427 _let_1009))) (REORDERING (CNF_OR_POS :args (_let_431)) :args ((or _let_173 _let_170 _let_426 _let_1010))) :args ((or _let_173 _let_170 _let_1010 _let_1009) false _let_426)))) (let ((_let_1012 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_939 :args (tptp.a623 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 U) true))))) :args _let_937)))) (let ((_let_1013 (MACRO_RESOLUTION_TRUST _let_862 _let_859 _let_1000 _let_673 _let_672 _let_671 _let_999 _let_998 _let_997 _let_996 _let_1012 _let_1011 _let_1008 _let_655 _let_654 _let_649 _let_646 _let_644 _let_1006 _let_987 _let_1005 _let_1004 _let_946 _let_1003 _let_944 _let_943 _let_1002 _let_994 _let_942 _let_993 _let_992 _let_869 _let_991 _let_990 _let_868 _let_989 _let_867 _let_988 _let_717 _let_634 _let_935 _let_958 _let_934 _let_657 _let_931 _let_659 _let_880 _let_879 _let_878 :args ((or tptp.hskp8 _let_340 _let_359 _let_399 _let_376 _let_397 _let_374 _let_834) true _let_446 false _let_447 true _let_116 false _let_245 false _let_247 false _let_985 false tptp.hskp11 true _let_984 true _let_434 true _let_432 true _let_431 false _let_428 false _let_425 false _let_424 true _let_423 true _let_320 true _let_638 false tptp.hskp12 true _let_982 true _let_383 true _let_470 true _let_381 true _let_1001 true _let_380 false _let_378 true _let_406 true _let_441 false _let_915 true _let_405 true _let_326 false _let_450 true _let_402 true _let_983 false _let_449 false _let_372 true tptp.hskp17 false _let_377 false _let_355 false _let_358 true _let_362 false _let_363 false _let_365 false _let_360 true _let_367 true _let_361 true _let_170 true _let_173 false tptp.hskp20)))) (let ((_let_1014 (MACRO_RESOLUTION_TRUST _let_682 _let_861 _let_673 _let_672 _let_998 _let_994 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_903 :args (tptp.a611 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_902)) :args _let_901)) (REORDERING (CNF_OR_POS :args (_let_440)) :args ((or _let_437 _let_436 _let_439 (not _let_440)))) (REORDERING (CNF_OR_POS :args (_let_438)) :args ((or _let_437 _let_436 _let_435 (not _let_438)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_704 :args (tptp.a611 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_703)) :args _let_702)) _let_631 _let_996 _let_645 _let_1012 _let_648 _let_1011 _let_653 _let_1008 _let_655 _let_547 _let_546 _let_654 _let_549 _let_649 _let_721 _let_727 _let_705 _let_680 _let_676 _let_675 _let_669 _let_664 _let_1013 _let_611 _let_609 (MACRO_RESOLUTION_TRUST _let_862 _let_859 _let_1000 _let_673 _let_672 _let_671 _let_999 _let_998 _let_997 _let_996 _let_968 _let_974 _let_973 _let_972 _let_971 _let_970 _let_995 _let_994 _let_993 _let_992 _let_991 _let_990 _let_989 _let_988 _let_634 _let_657 _let_659 _let_600 _let_602 _let_604 _let_957 _let_603 _let_532 _let_528 _let_520 _let_987 _let_515 _let_510 _let_508 _let_507 _let_506 _let_504 _let_986 :args ((or tptp.hskp8 _let_340 _let_349 _let_411 _let_376 _let_397 _let_374) true _let_446 false _let_447 true _let_116 false _let_245 false _let_247 false _let_985 false tptp.hskp11 true _let_984 true _let_434 true _let_432 true _let_897 true _let_888 true _let_102 true _let_105 true _let_108 false tptp.hskp9 true _let_441 true _let_405 true _let_326 true _let_402 true _let_983 false _let_372 false _let_377 false _let_358 false _let_360 true _let_361 true _let_359 true _let_501 false _let_499 false _let_890 false _let_502 false _let_338 false _let_522 true _let_476 true _let_982 true _let_470 true _let_469 true _let_87 false _let_231 false _let_233 false tptp.hskp6 true _let_981)) _let_980 _let_979 _let_978 _let_976 _let_526 _let_674 (MACRO_RESOLUTION_TRUST _let_974 _let_973 _let_972 _let_971 _let_970 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_46)) (MACRO_SR_EQ_INTRO :args (_let_46 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp25 tptp.hskp9 _let_340 _let_898))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_887)) :args ((or _let_208 _let_205 _let_886 _let_969))) (REORDERING (ASSUME :args (_let_207)) :args ((or _let_204 _let_206))) (REORDERING (ASSUME :args (_let_210)) :args ((or _let_204 _let_209))) (ASSUME :args (_let_276)) :args ((or _let_204 _let_969) true _let_205 true _let_208 false _let_275)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_692 (= U U)))) _let_782 _let_787 _let_968 _let_967 _let_936 _let_966 _let_932 _let_965 _let_928 _let_964 _let_757 _let_963 _let_764 _let_761 _let_760 _let_759 _let_962 _let_961 _let_960 _let_959 _let_944 _let_935 _let_958 _let_934 _let_931 _let_929 _let_600 _let_602 _let_604 _let_957 _let_603 _let_601 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_589 :args (tptp.a651 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_588)) :args _let_587)) _let_956 _let_596 _let_586 _let_573 _let_955 _let_946 _let_519 _let_515 _let_511 _let_510 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_954 _let_567 _let_905 _let_563 _let_904 _let_705 _let_560 _let_900 _let_727 _let_555 _let_553 _let_721 _let_720 _let_549 _let_548 _let_719 _let_544 _let_543 _let_866 _let_882 _let_881 _let_723 _let_724 _let_725 :args ((or tptp.hskp8 tptp.hskp7 _let_71 _let_340 _let_716) true _let_888 true _let_102 true _let_105 true _let_108 false tptp.hskp9 true tptp.hskp25 true _let_898 true _let_692 true _let_694 false _let_897 false tptp.hskp16 false _let_432 true _let_896 false _let_895 true _let_425 true _let_894 true _let_893 true _let_463 true _let_458 true _let_462 true _let_131 true _let_134 false _let_253 false tptp.hskp14 true _let_319 true _let_318 true _let_892 true _let_378 true _let_362 false _let_363 false _let_365 true _let_367 true _let_891 true _let_359 true _let_501 false _let_499 false _let_890 false _let_502 false _let_338 false _let_887 false _let_885 false _let_339 false _let_497 true tptp.hskp2 true _let_884 false _let_380 false _let_472 true _let_470 false _let_381 true _let_469 true _let_87 false _let_231 false _let_233 false _let_382 false tptp.hskp6 true _let_384 true _let_349 false _let_496 true _let_325 false _let_405 true _let_326 true _let_417 false _let_495 true _let_883 true _let_421 false _let_494 false _let_488 false _let_422 false _let_461 false _let_320 true tptp.hskp27 false _let_466 false _let_485 false _let_478 true _let_399 true _let_400 true _let_409 false _let_223 false _let_221 true _let_72)) _let_866 _let_882 _let_881 _let_725 _let_724 _let_723 _let_880 _let_879 _let_878 :args ((or tptp.hskp8 tptp.hskp7 _let_71 _let_340) false _let_329 true _let_116 false _let_245 false tptp.hskp11 true _let_441 true _let_326 true _let_440 false _let_435 false _let_438 false _let_358 true _let_434 false _let_433 true _let_432 true tptp.hskp21 true _let_431 false _let_430 false _let_428 false _let_425 false _let_284 false _let_289 false _let_424 false tptp.hskp27 true _let_423 true _let_320 true _let_422 false _let_421 false _let_418 false _let_417 false _let_416 true tptp.hskp15 false _let_415 false _let_359 false _let_385 false _let_412 false _let_349 false _let_373 false _let_396 false _let_375 true _let_398 true _let_411 true _let_410 true _let_395 true _let_399 true _let_400 true _let_409 true _let_72 false _let_221 false _let_223 true _let_170 true _let_173 false tptp.hskp20)))) (let ((_let_1015 (or _let_467 _let_87 _let_499))) (let ((_let_1016 (MACRO_RESOLUTION_TRUST _let_682 _let_861 _let_673 _let_672 :args ((or _let_115 _let_860 _let_681) false _let_329 true _let_116 false _let_245)))) (let ((_let_1017 (REORDERING (ASSUME :args (_let_70)) :args ((or _let_67 _let_69))))) (let ((_let_1018 (REORDERING (CNF_OR_POS :args (_let_324)) :args ((or _let_68 _let_321 _let_323 (not _let_324)))))) (let ((_let_1019 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_552 :args (tptp.a586 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_554)) :args _let_550)))) (let ((_let_1020 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_704 :args (tptp.a598 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_703)) :args _let_702)))) (let ((_let_1021 (or _let_352 _let_152 _let_149))) (let ((_let_1022 (not _let_368))) (let ((_let_1023 (or _let_370 _let_1022 _let_369))) (let ((_let_1024 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (tptp.c1_1 U) (tptp.c3_1 U))))) (let ((_let_1025 (not _let_371))) (let ((_let_1026 (ASSUME :args (_let_244)))) (let ((_let_1027 (ASSUME :args (_let_242)))) (let ((_let_1028 (REORDERING (CNF_OR_POS :args (_let_371)) :args ((or _let_370 _let_369 _let_368 _let_1025))))) (let ((_let_1029 (not _let_1021))) (let ((_let_1030 (REORDERING (CNF_OR_POS :args (_let_1021)) :args ((or _let_152 _let_149 _let_352 _let_1029))))) (let ((_let_1031 (not _let_1023))) (let ((_let_1032 (REORDERING (CNF_OR_POS :args (_let_1023)) :args ((or _let_370 _let_369 _let_1022 _let_1031))))) (let ((_let_1033 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_662 :args (tptp.a607 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_661)) :args _let_660)))) (let ((_let_1034 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_903 :args (tptp.a598 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_902)) :args _let_901)))) (let ((_let_1035 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp3 _let_340 _let_1024 _let_625))))) (let ((_let_1036 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_912 (= U U)))))) (let ((_let_1037 (ASSUME :args (_let_304)))) (let ((_let_1038 (ASSUME :args (_let_302)))) (let ((_let_1039 (ASSUME :args (_let_300)))) (let ((_let_1040 (_let_386))) (let ((_let_1041 (REORDERING (CNF_OR_POS :args (_let_394)) :args ((or _let_393 _let_392 _let_391 (not _let_394)))))) (let ((_let_1042 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_903 :args (tptp.a678 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_902)) :args _let_901)))) (let ((_let_1043 (or _let_370 _let_369 _let_112))) (let ((_let_1044 (or _let_370 _let_1022 _let_112))) (let ((_let_1045 (REORDERING (ASSUME :args (_let_114)) :args ((or _let_111 _let_113))))) (let ((_let_1046 (REORDERING (CNF_OR_POS :args (_let_1044)) :args ((or _let_112 _let_370 _let_1022 (not _let_1044)))))) (let ((_let_1047 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_865 :args (tptp.a598 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_864)) :args _let_863)))) (let ((_let_1048 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_390)) :args ((or _let_120 _let_389 _let_388 (not _let_390)))) (REORDERING (CNF_OR_POS :args (_let_404)) :args ((or _let_389 _let_403 _let_387 (not _let_404)))) _let_643 _let_642 _let_641 _let_1006 _let_1002 _let_993 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_865 :args (tptp.a600 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_864)) :args _let_863)) _let_991 _let_866 _let_989 _let_1013 _let_980 _let_979 _let_978 _let_976 (MACRO_RESOLUTION_TRUST _let_866 _let_954 _let_1047 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_679 :args (tptp.a598 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_678)) :args _let_677)) _let_1046 (REORDERING (CNF_OR_POS :args (_let_1043)) :args ((or _let_112 _let_370 _let_369 (not _let_1043)))) _let_1028 _let_1045 _let_1027 _let_1026 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp12 tptp.hskp10 _let_340 _let_326))) _let_644 _let_646 _let_720 _let_549 _let_548 _let_719 _let_543 :args ((or tptp.hskp8 _let_340 _let_326 _let_822 _let_716 _let_1025) false _let_399 true _let_400 true _let_417 true _let_1044 true _let_1043 false _let_368 true _let_112 false _let_241 false _let_243 false tptp.hskp10 true tptp.hskp12 false _let_638 false _let_461 false _let_320 true tptp.hskp27 false _let_466 false _let_478)) _let_1042 _let_1041 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_1040) :args (tptp.a600 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_1040)) _let_1039 _let_1038 _let_1037 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp17 tptp.hskp3 _let_340 _let_386))) (REORDERING (ASSUME :args (_let_306)) :args ((or tptp.hskp29 tptp.hskp17 tptp.hskp7))) _let_867 _let_611 _let_503 _let_505 _let_1005 _let_511 _let_946 _let_944 (MACRO_RESOLUTION_TRUST _let_923 _let_761 _let_760 _let_759 _let_927 _let_962 _let_1036 _let_905 _let_1035 _let_1034 _let_1033 _let_1032 _let_1030 _let_1028 _let_832 _let_831 _let_830 _let_1027 _let_1026 _let_829 _let_961 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_52)) (MACRO_SR_EQ_INTRO :args (_let_52 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp10 tptp.hskp7 _let_340 _let_450))) _let_960 _let_942 _let_959 _let_943 :args ((or tptp.hskp7 tptp.hskp3 _let_340 _let_366 _let_364 _let_362 _let_378 _let_1025) true _let_131 true _let_134 false _let_253 false _let_911 false tptp.hskp14 false _let_912 true _let_325 false _let_1024 true _let_326 true _let_625 true _let_1023 true _let_1021 false _let_368 true _let_149 true _let_152 false _let_261 false _let_241 false _let_243 false tptp.hskp17 true _let_319 false tptp.hskp10 true _let_318 true _let_450 true _let_892 true _let_915)) _let_988 _let_1020 _let_717 _let_634 _let_935 _let_958 _let_934 _let_657 _let_931 _let_659 (MACRO_RESOLUTION_TRUST _let_549 _let_548 _let_1019 _let_543 _let_1018 _let_572 _let_526 _let_1017 _let_571 _let_570 _let_528 _let_596 _let_532 _let_601 _let_603 _let_520 _let_604 _let_519 _let_515 _let_602 _let_511 _let_510 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 (MACRO_RESOLUTION_TRUST _let_602 (REORDERING (CNF_OR_POS :args (_let_1015)) :args ((or _let_87 _let_467 _let_499 (not _let_1015)))) _let_508 _let_507 _let_778 _let_782 _let_787 _let_793 _let_1008 _let_1011 _let_1012 _let_996 _let_998 _let_994 _let_992 _let_990 _let_989 _let_988 _let_632 _let_670 _let_1016 _let_680 _let_676 _let_980 _let_978 _let_675 _let_976 _let_674 (MACRO_RESOLUTION_TRUST _let_720 _let_549 _let_794 _let_548 _let_719 _let_543 :args ((or tptp.hskp23 tptp.hskp8 tptp.hskp3 _let_340 _let_745 _let_716) false _let_320 true _let_461 true tptp.hskp27 false _let_466 false _let_478)) _let_615 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_607 :args (tptp.a590 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_606)) :args _let_605)) _let_609 _let_608 _let_669 _let_664 _let_880 _let_879 _let_878 _let_600 :args ((or tptp.hskp8 tptp.hskp3 _let_340 _let_822 _let_745) false _let_499 true _let_87 false _let_231 false tptp.hskp6 true _let_692 true _let_694 false tptp.hskp16 true _let_425 true _let_428 false _let_431 false _let_432 false _let_434 true _let_441 true _let_326 true _let_983 false _let_372 false _let_377 false _let_358 false _let_616 true tptp.hskp11 false _let_418 false _let_417 false _let_373 false _let_375 false _let_416 true _let_398 true _let_410 true _let_395 true tptp.hskp23 false _let_1015 false _let_412 false _let_443 true tptp.hskp15 false _let_415 true _let_170 true _let_173 false tptp.hskp20 false _let_501)) _let_600 _let_1014 :args ((or tptp.hskp8 tptp.hskp7 _let_340 _let_745) true tptp.hskp27 true _let_320 false _let_478 true _let_324 false _let_322 false _let_395 true _let_68 false _let_217 false _let_219 false _let_411 false tptp.hskp2 true _let_522 true _let_339 true _let_338 true _let_476 true _let_502 false _let_472 true _let_470 true _let_499 false _let_381 true _let_469 true _let_87 false _let_231 false _let_233 false _let_382 false tptp.hskp6 true _let_384 true _let_349 false _let_501 true tptp.hskp3)) _let_1014 :args ((or tptp.hskp8 tptp.hskp7 _let_340) false _let_387 true _let_120 false _let_249 false _let_251 false tptp.hskp12 true _let_406 true _let_405 false _let_404 true _let_402 false _let_400 false _let_372 false _let_399 false _let_373 false _let_396 false _let_375 true _let_398 true _let_395 true _let_326 true _let_394 false _let_390 false _let_298 false _let_301 false _let_303 false _let_386 false tptp.hskp29 true tptp.hskp17 false _let_385 false _let_349 false _let_384 true _let_383 true _let_382 true _let_381 true _let_380 false _let_378 false _let_377 false _let_371 false _let_355 false _let_358 true _let_362 false _let_363 false _let_365 false _let_360 true _let_367 true _let_361 true _let_359 true tptp.hskp3)))) (let ((_let_1049 (or _let_709 _let_707 _let_711))) (let ((_let_1050 (not _let_357))) (let ((_let_1051 (MACRO_RESOLUTION_TRUST _let_657 _let_659 _let_634 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_599 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_663)) :args _let_597)) _let_717 (MACRO_RESOLUTION_TRUST _let_825 (REORDERING (CNF_OR_POS :args (_let_357)) :args ((or _let_347 _let_345 _let_356 _let_1050))) _let_818 _let_817 :args ((or _let_348 _let_824 _let_1050) true _let_350 true _let_345 false _let_346)) (MACRO_RESOLUTION_TRUST _let_866 _let_868 _let_882 _let_869 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((or _let_82 _let_849) true _let_83 false _let_227 false _let_229)))) (let ((_let_1196 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_450 (= U V)))))) (let ((_let_1197 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_450 (= U V)))))) (let ((_let_1198 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_497 (= U U)))))) (let ((_let_1199 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_578 (= U W)))))) (let ((_let_1200 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1160 :args (tptp.a606 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1159)) :args _let_1158)))) (let ((_let_1201 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp16 _let_340 _let_1123 _let_1117))))) (let ((_let_1202 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_1203 (not _let_1125))) (let ((_let_1204 (not _let_1127))) (let ((_let_1205 (REORDERING (CNF_OR_POS :args (_let_1125)) :args ((or _let_142 _let_693 _let_1124 _let_1203))))) (let 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_let_259)) _let_1202 _let_1201 _let_1200 _let_1199 _let_1198 _let_1157 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_585 :args (tptp.a623 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_584)) :args _let_583)) _let_956 _let_1156 (REORDERING (CNF_OR_POS :args (_let_1120)) :args ((or _let_176 _let_170 _let_426 (not _let_1120)))) _let_963 _let_720 _let_1150 (REORDERING (CNF_OR_POS :args (_let_1118)) :args ((or _let_176 _let_173 _let_427 (not _let_1118)))) _let_762 _let_764 _let_862 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_756 :args (tptp.a623 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_755)) :args _let_754)) _let_757 _let_859 _let_928 _let_673 _let_672 _let_671 _let_932 _let_998 _let_936 _let_996 _let_968 _let_880 _let_879 (REORDERING (ASSUME :args (_let_178)) :args ((or _let_169 _let_177))) _let_974 _let_527 _let_973 (MACRO_RESOLUTION_TRUST _let_534 _let_531 _let_530 _let_529 :args ((or _let_162 _let_533) true _let_163 true _let_166 false _let_265)) _let_957 _let_538 (MACRO_RESOLUTION_TRUST _let_515 _let_520 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(IMPLIES_ELIM (SCOPE (INSTANTIATE _let_812 :args (tptp.a636 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1151)) :args _let_810)) (REORDERING (CNF_OR_POS :args (_let_1170)) :args ((or _let_197 _let_442 _let_1167 (not _let_1170)))) (REORDERING (CNF_OR_POS :args (_let_1169)) :args ((or _let_197 _let_442 _let_1168 (not _let_1169)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_514 :args (tptp.a636 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_513)) :args _let_512)) _let_1190 (MACRO_RESOLUTION_TRUST _let_1189 _let_1032 _let_1188 _let_1045 _let_1027 _let_1026 _let_928 _let_1187 _let_932 _let_1186 _let_936 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1185 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1184)) :args _let_1183)) _let_968 (REORDERING (CNF_OR_POS :args (_let_1182)) :args ((or _let_739 _let_730 _let_732 (not _let_1182)))) _let_974 (REORDERING (CNF_OR_POS :args (_let_1181)) :args ((or _let_739 _let_728 _let_731 (not _let_1181)))) _let_973 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_537 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_536)) :args _let_535)) _let_957 _let_532 _let_774 _let_773 _let_772 _let_528 _let_777 _let_520 :args ((or _let_108 _let_105 _let_102 _let_340 _let_470 _let_1069 _let_891 _let_411 _let_1031) true _let_368 false _let_1083 true _let_112 false _let_241 false _let_243 false _let_463 false tptp.hskp10 false _let_894 true _let_1079 true _let_895 true _let_1077 true _let_432 true _let_1182 true _let_897 false _let_731 true _let_888 false _let_1181 false _let_890 false _let_338 true _let_728 false _let_729 false _let_738 false _let_522 true _let_741 true _let_476)) _let_972 _let_971 _let_970 _let_995 _let_1180 _let_1179 _let_1178 _let_1177 _let_1176 _let_1175 _let_639 _let_1101 _let_614 _let_613 _let_656 _let_633 _let_988 _let_1174 _let_989 _let_721 _let_990 _let_900 _let_992 _let_1173 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_903 :args (tptp.a612 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1172)) 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_let_1042 _let_904 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1152)) :args ((or _let_156 _let_341 _let_444 (not _let_1152)))) _let_875 _let_808 _let_807 _let_806 _let_945 _let_927 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_662 :args (tptp.a610 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_661)) :args _let_660)) _let_923 _let_1155 _let_761 _let_760 _let_759 _let_1154 _let_962 _let_1153 _let_905 _let_961 _let_1057 _let_1056 _let_1051 :args ((or _let_340 _let_326 _let_343 _let_1084 _let_874) true _let_444 true _let_156 true _let_159 false _let_263 false tptp.hskp18 true _let_912 false _let_1152 true _let_911 false _let_625 true _let_131 true _let_134 false _let_253 false _let_1086 false tptp.hskp14 true _let_1085 true _let_325 true _let_319 true _let_318 true _let_317 false tptp.hskp8)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_812 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1151)) :args _let_810)) (REORDERING (CNF_OR_POS :args (_let_1145)) :args ((or _let_1140 _let_1138 _let_1142 (not _let_1145)))) _let_1150 (REORDERING (CNF_OR_POS :args (_let_1144)) :args ((or _let_1138 _let_1137 _let_1143 (not _let_1144)))) _let_862 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_537 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_536)) :args _let_535)) _let_859 _let_532 _let_673 _let_672 _let_671 _let_528 _let_1112 _let_520 _let_1149 _let_1114 _let_1004 _let_946 _let_1113 _let_1003 _let_944 _let_1111 _let_943 _let_1110 _let_1108 _let_872 _let_942 _let_1107 _let_1106 _let_869 _let_868 _let_866 _let_882 _let_881 _let_723 _let_724 _let_725 _let_1055 _let_1053 _let_1051 (CNF_OR_NEG :args (_let_1141 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1141 0)) (CONG (REFL :args (_let_1141)) (MACRO_SR_PRED_INTRO :args ((= (not _let_1140) _let_1139))) :args _let_558)) :args ((or _let_1139 _let_1141))) (CNF_OR_NEG :args (_let_1141 1)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1148)) :args _let_1148)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_822) _let_349))) (REFL :args ((not _let_1141))) :args _let_558)) _let_1136 :args ((or tptp.hskp17 _let_71 _let_340 _let_411 _let_366 _let_364 _let_362) false _let_298 false _let_301 false _let_303 false tptp.hskp29 true tptp.hskp22 false _let_1147 false _let_1122 true _let_1121 true _let_320 true _let_422 false _let_394 false _let_883 false _let_326 true _let_343 true _let_1145 true _let_1119 true _let_1142 true _let_447 false _let_1144 true _let_446 false _let_338 true _let_116 false _let_245 false _let_247 false _let_522 false tptp.hskp11 true _let_476 true _let_1084 true _let_1104 true _let_470 true _let_381 true _let_698 true _let_1001 true _let_380 true _let_1103 false _let_378 true tptp.hskp0 false _let_1058 false _let_452 false _let_915 false _let_1102 false _let_1061 false _let_450 false _let_449 true _let_399 true _let_400 true _let_409 false _let_223 false _let_221 true _let_72 true _let_98 false _let_239 false tptp.hskp8 true _let_1137 false _let_1139 true _let_1138 true _let_1141 true _let_349)) _let_935 _let_958 _let_934 _let_931 _let_929 _let_961 _let_1057 _let_1056 _let_1051 _let_986 _let_1136 :args ((or _let_71 _let_340 _let_359 _let_521 _let_411 _let_376 _let_397 _let_374) false _let_425 true _let_1127 false _let_1074 false tptp.hskp16 false _let_1125 true _let_1073 true _let_1123 false _let_1122 true _let_578 true _let_497 true _let_1121 true _let_1120 true _let_885 true _let_320 true _let_1119 true _let_426 false _let_458 true _let_461 true _let_447 false _let_1118 false _let_462 true _let_446 false _let_463 true _let_116 false _let_245 false _let_247 false _let_894 false tptp.hskp11 true _let_895 true _let_434 true _let_432 true _let_170 true _let_173 true _let_176 true _let_897 false tptp.hskp20 true _let_888 true tptp.hskp19 false _let_890 false _let_524 false _let_338 true _let_102 true _let_105 true _let_108 false tptp.hskp9 true _let_1062 true _let_1117 true _let_405 true _let_450 true _let_402 true _let_915 false _let_372 true tptp.hskp5 true _let_378 false _let_1116 false _let_697 false _let_380 false _let_698 false _let_381 true _let_131 true _let_134 false _let_253 false (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c2_1 V))) false _let_1084 false tptp.hskp14 true (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)))) true _let_1085 true _let_325 true _let_441 true _let_326 true (forall ((W $$unsorted)) (or (not (tptp.c3_1 W)) (tptp.c1_1 W) (tptp.c2_1 W))) true _let_1086 true _let_624 true _let_625 true _let_1021 true _let_149 true _let_152 false _let_261 false tptp.hskp17 true _let_362 false _let_363 false _let_365 true _let_367 true _let_891 true _let_319 true _let_318 true _let_317 false tptp.hskp8 true _let_981 true _let_349)) (MACRO_RESOLUTION_TRUST _let_998 _let_994 _let_996 _let_992 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_939 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_938)) :args _let_937)) _let_990 (REORDERING (CNF_OR_POS :args (_let_1095)) :args ((or _let_1087 _let_1093 _let_1088 (not _let_1095)))) _let_989 (REORDERING (CNF_OR_POS :args (_let_1092)) :args ((or _let_1091 _let_1087 _let_1089 (not _let_1092)))) _let_988 (CNF_OR_NEG :args (_let_1094 2)) (CNF_OR_NEG :args (_let_1094 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1094 0)) (CONG (REFL :args (_let_1094)) (MACRO_SR_PRED_INTRO :args ((= (not _let_1091) _let_1090))) :args _let_558)) :args ((or _let_1090 _let_1094))) _let_632 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1115)) :args _let_1115)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1105) _let_450))) (REFL :args ((not _let_1094))) :args _let_558)) _let_670 (MACRO_RESOLUTION_TRUST _let_1114 _let_1113 _let_1112 _let_1111 _let_1110 _let_1108 _let_1107 _let_1106 _let_1055 _let_1053 _let_1051 :args ((or tptp.hskp11 _let_340 _let_1105) true _let_698 false _let_1104 true _let_1103 true tptp.hskp0 false _let_1058 false _let_1102 false _let_1061 true _let_98 false _let_239 false tptp.hskp8)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_331 0)) (CONG (REFL :args _let_1097) (MACRO_SR_PRED_INTRO :args ((= (not _let_330) _let_329))) :args _let_558)) :args ((or _let_329 _let_331))) _let_682 _let_1101 _let_673 _let_672 :args ((or _let_115 _let_340 _let_411 _let_681) true _let_329 true _let_331 true _let_116 false _let_245)) _let_680 _let_676 _let_675 _let_669 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_599 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_663)) :args _let_597)) _let_664 :args ((or _let_340 _let_410 _let_411 _let_745 _let_376 _let_374) true _let_441 true _let_434 true _let_326 true _let_432 true _let_983 true _let_1095 false _let_372 true _let_1088 false _let_377 true _let_1093 true _let_1087 false _let_1090 false _let_358 true _let_1094 false _let_616 true _let_450 true tptp.hskp11 false _let_418 false _let_417 false _let_416 true tptp.hskp15 false _let_1092 false _let_415)) _let_980 _let_979 _let_978 _let_976 _let_526 _let_674 _let_525 _let_961 _let_1057 _let_1056 _let_1051 :args ((or _let_340 _let_395) true _let_394 false _let_326 false _let_298 false _let_301 false _let_303 false _let_325 false tptp.hskp29 true tptp.hskp14 false _let_911 false _let_912 false _let_1024 true _let_625 true _let_1021 true _let_149 true _let_152 false _let_261 false tptp.hskp17 true tptp.hskp3 true _let_359 false _let_373 false _let_396 false _let_375 true _let_398 true _let_411 true _let_410 true _let_521 true _let_319 true _let_318 true _let_317 false tptp.hskp8)))) (let ((_let_1209 (not _let_1063))) (let ((_let_1210 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1063)) :args ((or _let_98 _let_315 _let_1058 _let_1209))) _let_1134 _let_1055 _let_1054 _let_1053 :args ((or _let_97 _let_1133 _let_1209) true _let_1058 true _let_98 false _let_237 false _let_239)))) (let ((_let_1211 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_812 :args (tptp.a593 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_811)) :args _let_810)))) (let ((_let_1212 (MACRO_RESOLUTION_TRUST _let_1030 _let_1033 _let_832 _let_831 _let_830 _let_1155 _let_868 _let_1154 _let_866 _let_1153 _let_1047 _let_1034 _let_1046 _let_1032 _let_1149 _let_1189 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_518 :args (tptp.a585 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_517)) :args _let_516)) _let_1188 (REORDERING (CNF_OR_POS :args (_let_1082)) :args ((or _let_64 _let_1081 _let_1080 (not _let_1082)))) _let_1045 _let_1027 _let_1026 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_50)) (MACRO_SR_EQ_INTRO :args (_let_50 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp11 tptp.hskp21 _let_340 _let_463))) (REORDERING (ASSUME :args (_let_66)) :args ((or _let_63 _let_65))) (ASSUME :args (_let_214)) (ASSUME :args (_let_216)) _let_1187 _let_648 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp1 _let_340 _let_1078 _let_1072))) _let_1186 _let_653 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_359 (= U U)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1185 :args (tptp.a612 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1184)) :args _let_1183)) _let_1206 _let_746 (REORDERING (CNF_OR_POS :args (_let_1076)) :args ((or _let_456 _let_1075 _let_455 (not _let_1076)))) _let_1202 _let_751 _let_749 _let_1193 _let_748 _let_1199 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_578 (= U V)))) _let_1192 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_585 :args (tptp.a595 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_584)) :args _let_583)) _let_1174 (REORDERING (CNF_OR_POS :args (_let_1070)) :args ((or _let_108 _let_105 _let_102 (not _let_1070)))) _let_553 _let_972 _let_971 _let_970 _let_560 _let_995 _let_563 _let_1180 _let_1179 _let_1178 _let_1177 _let_1176 _let_1175 _let_639 _let_986 _let_1136 _let_544 _let_1191 _let_1211 _let_1210 _let_719 _let_1197 _let_869 _let_1106 _let_1108 _let_1055 _let_1134 _let_1054 _let_1053 _let_1051 _let_1135 _let_1208 :args ((or tptp.hskp11 _let_340) false _let_1021 true _let_149 true _let_152 false _let_261 false _let_625 false tptp.hskp17 false _let_1086 true _let_399 true _let_1085 true _let_400 true _let_326 true _let_1044 true _let_1023 true _let_1084 false _let_368 true _let_381 false _let_1083 true _let_1082 true _let_112 false _let_241 false _let_243 false _let_463 true _let_64 false _let_213 false _let_215 false tptp.hskp10 true tptp.hskp21 false tptp.hskp1 true _let_1079 false _let_430 true _let_1078 true _let_1077 false _let_425 true _let_359 true _let_1076 false _let_1074 true _let_457 false _let_291 false _let_294 false _let_296 true _let_1073 true _let_1072 false tptp.hskp28 true _let_578 true _let_1071 true _let_1070 true _let_320 true _let_102 true _let_105 true _let_108 true _let_488 false tptp.hskp9 true _let_495 true _let_1069 true _let_405 true _let_1068 false _let_277 false _let_280 false _let_282 false tptp.hskp26 true _let_981 true _let_349 false _let_485 true _let_1064 true _let_343 true _let_1063 false _let_466 true _let_1062 true _let_449 true _let_450 true _let_1061 true _let_98 true _let_1058 false _let_237 false _let_239 false tptp.hskp8 false _let_1060 false _let_395)))) (let ((_let_1213 (forall ((V $$unsorted)) (or (not (tptp.c3_1 V)) (tptp.c0_1 V) (tptp.c2_1 V))))) (let ((_let_1214 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (tptp.c2_1 U))))) (let ((_let_1215 (or _let_1126 _let_693 _let_145))) (let ((_let_1216 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (tptp.c3_1 U))))) (let ((_let_1217 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_343 (= V V)))))) (let ((_let_1218 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp27 _let_340 _let_1214 _let_1213))))) (let ((_let_1219 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_698 (= U U)))))) (let ((_let_1220 (not _let_1215))) (let ((_let_1221 (MACRO_RESOLUTION_TRUST _let_963 _let_964 _let_956 _let_965 _let_1198 _let_966 _let_1201 _let_967 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1215)) :args ((or _let_145 _let_693 _let_1126 _let_1220))) _let_1205 _let_786 _let_785 _let_784 :args ((or _let_141 _let_1203 _let_1220) false _let_1124 true _let_142 true _let_145 false _let_259)) _let_955 _let_761 _let_760 _let_759 _let_1190 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp22 tptp.hskp14 _let_340 _let_1216))) _let_1194 _let_1163 _let_750 _let_1161 _let_1200 _let_749 _let_1193 _let_748 _let_1157 _let_1192 _let_1156 _let_1174 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_320 (= U U)))) _let_1191 _let_1150 _let_862 _let_859 _let_672 _let_673 _let_671 _let_1212 _let_719 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_853 :args (tptp.a606 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_852)) :args _let_851)) _let_1219 _let_1218 _let_548 _let_543 _let_1217 _let_1211 _let_1210 _let_1196 _let_1106 _let_1108 _let_1055 _let_1134 _let_1054 _let_1053 _let_1051 _let_1135 _let_1208 :args ((or _let_340 _let_320) false _let_458 false _let_885 false _let_893 false _let_497 false _let_425 false _let_1123 false _let_896 true tptp.hskp16 true _let_884 true _let_131 true _let_134 false _let_253 true _let_470 false tptp.hskp14 true _let_1166 true tptp.hskp22 true _let_454 false _let_1147 false _let_1125 false _let_291 false _let_294 false _let_296 false _let_1122 false tptp.hskp28 true _let_1121 true _let_1071 true _let_1216 true _let_1064 true _let_1119 true _let_447 true _let_446 false _let_245 true _let_116 false _let_247 false tptp.hskp11 false _let_466 false _let_1215 false _let_698 false _let_1214 true tptp.hskp27 false _let_478 true _let_1213 true _let_343 true _let_1063 true _let_1117 true _let_450 true _let_1061 true _let_98 true _let_1058 false _let_237 false _let_239 false tptp.hskp8 false _let_1060 false _let_395)))) (let ((_let_1222 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (tptp.c0_1 U) (tptp.c1_1 U))))) (let ((_let_1223 (or _let_134 _let_458 _let_131))) (let ((_let_1224 (forall ((V $$unsorted)) (or (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_1225 (_let_1224))) (let ((_let_1226 (tptp.c2_1 tptp.a648))) (let ((_let_1227 (not _let_1226))) (let ((_let_1228 (not _let_273))) (let ((_let_1229 (or _let_1228 _let_1227 _let_201))) (let ((_let_1230 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_1231 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_1232 (not _let_1231))) (let ((_let_1233 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_1234 (not _let_1233))) (let ((_let_1235 (or _let_1234 _let_1232 _let_1230))) (let ((_let_1236 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_1237 (or _let_1234 _let_1231 _let_1236))) (let ((_let_1238 (or _let_1234 _let_1230 _let_1236))) (let ((_let_1239 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (tptp.c1_1 U) (tptp.c2_1 U))))) (let ((_let_1240 (or _let_1228 _let_1226 _let_201))) (let ((_let_1241 (not _let_225))) (let ((_let_1242 (or _let_1241 _let_79 _let_76))) (let ((_let_1243 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (tptp.c2_1 U))))) (let ((_let_1244 (not _let_1235))) (let ((_let_1245 (not _let_1237))) (let ((_let_1246 (not _let_425))) (let ((_let_1247 (_let_1246))) (let ((_let_1248 (not _let_1240))) (let ((_let_1249 (not _let_1229))) (let ((_let_1250 (not _let_1242))) (let ((_let_1251 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_337)) :args ((or _let_68 _let_321 _let_322 (not _let_337)))) _let_1018 _let_1017 _let_571 _let_596 _let_601 _let_877 _let_1100 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_799 :args (tptp.a586 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_798)) :args _let_797)) _let_800 _let_1099 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_333 (= U V)))) _let_1098 (MACRO_RESOLUTION_TRUST _let_1028 _let_1032 _let_1027 _let_1026 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp10 tptp.hskp4 _let_340 _let_470))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1242)) :args ((or _let_79 _let_76 _let_1241 _let_1250))) (REORDERING (ASSUME :args (_let_78)) :args ((or _let_75 _let_77))) (REORDERING (ASSUME :args (_let_81)) :args ((or _let_75 _let_80))) (ASSUME :args (_let_226)) :args ((or _let_75 _let_1250) true _let_76 true _let_79 false _let_225)) _let_1020 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_358 (= U U)))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp24 tptp.hskp5 _let_340 _let_1243))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_756 :args (tptp.a588 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_755)) :args _let_754)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1240)) :args ((or _let_201 _let_1228 _let_1226 _let_1248))) (REORDERING (CNF_OR_POS :args (_let_1229)) :args ((or _let_201 _let_1228 _let_1227 _let_1249))) (REORDERING (ASSUME :args (_let_203)) :args ((or _let_200 _let_202))) (ASSUME :args (_let_274)) :args ((or _let_200 _let_1249 _let_1248) true _let_1226 true _let_201 false _let_273)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_463 (= U U)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_652 :args (tptp.a648 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_651)) :args _let_650)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp14 _let_340 _let_1239 _let_332))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1247)) :args _let_1247)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1246) _let_425))) (REFL :args ((not _let_1238))) :args _let_558)) _let_1207 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1237)) :args ((or _let_1234 _let_1236 _let_1231 _let_1245))) (REORDERING (CNF_OR_POS :args (_let_1235)) :args ((or _let_1234 _let_1230 _let_1232 _let_1244))) (CNF_OR_NEG :args (_let_1238 2)) (CNF_OR_NEG :args (_let_1238 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1238 0)) (CONG (REFL :args (_let_1238)) (MACRO_SR_PRED_INTRO :args ((= (not _let_1234) _let_1233))) :args _let_558)) :args ((or _let_1233 _let_1238))) :args ((or _let_1238 _let_1245 _let_1244) true _let_1231 true _let_1236 true _let_1230 false _let_1233)) _let_927 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_926 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_925)) :args _let_924)) _let_684 _let_1036 _let_683 _let_1035 _let_1098 _let_900 _let_1173 _let_904 _let_1034 _let_721 _let_1033 (MACRO_RESOLUTION_TRUST _let_1030 _let_832 _let_831 _let_830 :args ((or _let_148 _let_1029) true _let_149 true _let_152 false _let_261)) (MACRO_RESOLUTION_TRUST _let_882 _let_881 _let_866 _let_725 _let_724 _let_723 _let_868 _let_829 _let_1057 _let_1056 _let_869 _let_1106 _let_1108 _let_1055 _let_1134 _let_1054 _let_1053 _let_1051 _let_1135 _let_1208 :args ((or tptp.hskp17 _let_340) true _let_409 false _let_400 true _let_72 false _let_221 false _let_223 false _let_399 false tptp.hskp3 true _let_318 true _let_317 true _let_449 true _let_450 true _let_1061 true _let_98 true _let_1058 false _let_237 false _let_239 false tptp.hskp8 false _let_1060 false _let_395)) _let_671 _let_672 _let_1212 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_853 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_852)) :args _let_851)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_552 :args (tptp.a648 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_551)) :args _let_550)) _let_1221 _let_1195 _let_854 _let_1219 _let_1218 _let_548 _let_543 _let_1217 _let_1211 _let_1210 _let_1051 _let_1135 _let_1208 :args ((or _let_340 _let_332 _let_1171) true _let_368 false _let_241 false _let_243 false tptp.hskp10 true tptp.hskp4 false _let_371 false _let_358 false _let_1243 false _let_1242 true tptp.hskp24 false _let_463 false _let_1240 false _let_1239 false _let_425 true tptp.hskp14 false _let_1238 false _let_911 false _let_1237 true _let_470 false _let_912 true _let_630 false _let_1024 true _let_329 true tptp.hskp3 false _let_331 false _let_883 false _let_1023 false _let_422 true _let_625 true _let_1021 false tptp.hskp17 false _let_247 false _let_245 false tptp.hskp11 false _let_1235 false _let_1229 false _let_320 true tptp.hskp5 false _let_697 false _let_698 false _let_1214 true tptp.hskp27 false _let_478 true _let_1213 true _let_343 true _let_1063 false tptp.hskp8 false _let_1060 false _let_395)) _let_1173 _let_905 _let_962 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_1178 _let_1177 _let_1176 _let_1175 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp26 _let_340 _let_1222 _let_1224))) _let_1179 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_1225) :args (tptp.a603 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 V) true))))) :args _let_1225)) _let_563 (REORDERING (CNF_OR_POS :args (_let_1223)) :args ((or _let_134 _let_131 _let_458 (not _let_1223)))) _let_560 _let_763 _let_553 _let_720 _let_544 _let_1208 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_349 (= U U)))) _let_1136 :args ((or _let_134 _let_131 _let_340 _let_460 (not _let_320)) false _let_277 false _let_280 false _let_282 false tptp.hskp26 false _let_1068 true _let_1224 false _let_405 true _let_1223 false _let_495 true _let_458 false _let_488 false _let_461 false _let_485 false _let_395 true _let_1222 true _let_349)) _let_761 _let_760 _let_759 _let_1221 :args ((or _let_130 _let_340) true _let_131 true _let_134 false _let_253 false _let_320)) _let_1019 _let_1221 _let_673 _let_672 _let_671 _let_1212 _let_961 _let_1057 _let_1056 _let_1051 :args (_let_340 true _let_322 true _let_68 false _let_217 false tptp.hskp2 true _let_339 true tptp.hskp7 true _let_338 false _let_337 false _let_336 true _let_334 false _let_333 true _let_329 false _let_332 false _let_331 false _let_326 false _let_325 true tptp.hskp14 false _let_324 false _let_320 true _let_116 false _let_245 false _let_247 false tptp.hskp11 true _let_319 true _let_318 true _let_317 false tptp.hskp8)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_1164 (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_310)) :args ((or tptp.ndr1_0 _let_148))) _let_1251 :args (_let_148 true tptp.ndr1_0)) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_313)) :args ((or tptp.ndr1_0 _let_299))) _let_1251 :args (_let_299 true tptp.ndr1_0)) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_311)) :args ((or tptp.ndr1_0 _let_186))) _let_1251 :args (_let_186 true tptp.ndr1_0)) :args (false true tptp.hskp17 true tptp.hskp29 true tptp.hskp22)) :args (_let_314 _let_313 (or _let_292 tptp.ndr1_0) (or _let_285 tptp.ndr1_0) _let_312 (or _let_204 tptp.ndr1_0) (or _let_200 tptp.ndr1_0) (or _let_193 tptp.ndr1_0) _let_311 (or _let_179 tptp.ndr1_0) (or _let_169 tptp.ndr1_0) (or _let_162 tptp.ndr1_0) (or _let_155 tptp.ndr1_0) _let_310 (or _let_141 tptp.ndr1_0) (or _let_137 tptp.ndr1_0) (or _let_130 tptp.ndr1_0) (or _let_123 tptp.ndr1_0) (or _let_119 tptp.ndr1_0) _let_309 (or _let_111 tptp.ndr1_0) (or _let_101 tptp.ndr1_0) (or _let_97 tptp.ndr1_0) (or _let_90 tptp.ndr1_0) (or _let_86 tptp.ndr1_0) (or _let_82 tptp.ndr1_0) (or _let_75 tptp.ndr1_0) (or _let_71 tptp.ndr1_0) (or _let_67 tptp.ndr1_0) (or _let_63 tptp.ndr1_0) (or _let_56 tptp.ndr1_0) _let_308 _let_307 _let_306 _let_305 _let_304 _let_302 _let_300 _let_297 _let_295 _let_293 _let_290 _let_288 _let_286 _let_283 _let_281 _let_279 _let_276 _let_274 (or _let_200 (tptp.c1_1 tptp.a648)) _let_272 _let_270 _let_268 _let_266 _let_264 _let_262 _let_260 _let_258 _let_256 _let_254 _let_252 _let_250 _let_248 _let_246 _let_244 _let_242 _let_240 _let_238 _let_236 _let_234 _let_232 _let_230 _let_228 _let_226 _let_224 _let_222 _let_220 _let_218 _let_216 _let_214 _let_212 _let_210 _let_207 _let_203 _let_199 _let_196 _let_192 _let_189 _let_185 _let_182 _let_178 _let_175 _let_172 _let_168 _let_165 _let_161 _let_158 _let_154 _let_151 _let_147 _let_144 _let_140 _let_136 _let_133 _let_129 (or (not (tptp.c1_1 tptp.a601)) _let_123) _let_126 _let_122 _let_118 _let_114 _let_110 _let_107 _let_104 _let_100 _let_96 _let_93 _let_89 _let_85 _let_81 _let_78 _let_74 _let_70 _let_66 _let_62 _let_59 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp26 tptp.hskp0)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp3 tptp.hskp4)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp12 tptp.hskp13)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp4 tptp.hskp14)) (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) (tptp.c3_1 U) tptp.hskp15 tptp.hskp13)) _let_55 _let_54 _let_53 _let_52 _let_51 _let_50 _let_49 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp22 tptp.hskp6)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp3 tptp.hskp4)) _let_48 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp15 tptp.hskp25)) _let_40 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp26 tptp.hskp28)) _let_39 _let_38 _let_37 _let_36 _let_35 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp4 tptp.hskp17)) _let_34 _let_33 _let_32 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp29 tptp.hskp15)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp29 tptp.hskp18)) _let_31 _let_30 _let_29 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) tptp.hskp10 tptp.hskp1)) _let_28 _let_27 (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.c2_1 V) (tptp.c3_1 V) tptp.hskp10)) _let_26 _let_25 _let_24 _let_23 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp26)) _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 (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)) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) tptp.hskp1)) _let_15 _let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c2_1 U) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp24)) _let_13 _let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp16)) (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)) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c0_1 V) tptp.hskp15)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c1_1 V) tptp.hskp28)) _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.79 )
% 0.22/0.79 % SZS output end Proof for SYN507-1
% 0.22/0.80 % cvc5---1.0.5 exiting
% 0.22/0.80 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------