TSTP Solution File: SYN506+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN506+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 02:03:45 EDT 2023
% Result : Theorem 0.22s 0.77s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN506+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.37 % Computer : n027.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat Aug 26 18:03:20 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.77 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.4VbotnfHrS/cvc5---1.0.5_17062.p...
% 0.22/0.77 ------- get file name : TPTP file name is SYN506+1
% 0.22/0.77 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_17062.smt2...
% 0.22/0.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.77 % SZS status Theorem for SYN506+1
% 0.22/0.77 % SZS output start Proof for SYN506+1
% 0.22/0.77 (
% 0.22/0.77 (let ((_let_1 (tptp.c2_1 tptp.a343))) (let ((_let_2 (tptp.c1_1 tptp.a343))) (let ((_let_3 (tptp.c0_1 tptp.a343))) (let ((_let_4 (and tptp.ndr1_0 _let_3 _let_2 _let_1))) (let ((_let_5 (tptp.c3_1 tptp.a333))) (let ((_let_6 (tptp.c1_1 tptp.a333))) (let ((_let_7 (tptp.c0_1 tptp.a333))) (let ((_let_8 (and tptp.ndr1_0 _let_7 _let_6 _let_5))) (let ((_let_9 (tptp.c2_1 tptp.a419))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.c1_1 tptp.a419))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.c0_1 tptp.a419))) (let ((_let_14 (and tptp.ndr1_0 _let_13 _let_12 _let_10))) (let ((_let_15 (tptp.c2_1 tptp.a401))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.c0_1 tptp.a401))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.c1_1 tptp.a401))) (let ((_let_20 (and tptp.ndr1_0 _let_19 _let_18 _let_16))) (let ((_let_21 (tptp.c2_1 tptp.a367))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.c1_1 tptp.a367))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.c3_1 tptp.a367))) (let ((_let_26 (and tptp.ndr1_0 _let_25 _let_24 _let_22))) (let ((_let_27 (tptp.c2_1 tptp.a359))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.c0_1 tptp.a359))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.c3_1 tptp.a359))) (let ((_let_32 (and tptp.ndr1_0 _let_31 _let_30 _let_28))) (let ((_let_33 (tptp.c3_1 tptp.a355))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.c2_1 tptp.a355))) (let ((_let_36 (tptp.c1_1 tptp.a355))) (let ((_let_37 (and tptp.ndr1_0 _let_36 _let_35 _let_34))) (let ((_let_38 (tptp.c2_1 tptp.a349))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.c3_1 tptp.a349))) (let ((_let_41 (tptp.c1_1 tptp.a349))) (let ((_let_42 (and tptp.ndr1_0 _let_41 _let_40 _let_39))) (let ((_let_43 (tptp.c3_1 tptp.a348))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.c1_1 tptp.a348))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.c0_1 tptp.a348))) (let ((_let_48 (and tptp.ndr1_0 _let_47 _let_46 _let_44))) (let ((_let_49 (tptp.c2_1 tptp.a345))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.c3_1 tptp.a345))) (let ((_let_52 (tptp.c0_1 tptp.a345))) (let ((_let_53 (and tptp.ndr1_0 _let_52 _let_51 _let_50))) (let ((_let_54 (tptp.c2_1 tptp.a338))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.c1_1 tptp.a338))) (let ((_let_57 (not _let_56))) (let ((_let_58 (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a338)) _let_57 _let_55))) (let ((_let_59 (tptp.c3_1 tptp.a337))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.c2_1 tptp.a337))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.c0_1 tptp.a337))) (let ((_let_64 (and tptp.ndr1_0 _let_63 _let_62 _let_60))) (let ((_let_65 (tptp.c1_1 tptp.a334))) (let ((_let_66 (not _let_65))) (let ((_let_67 (tptp.c0_1 tptp.a334))) (let ((_let_68 (not _let_67))) (let ((_let_69 (tptp.c2_1 tptp.a334))) (let ((_let_70 (and tptp.ndr1_0 _let_69 _let_68 _let_66))) (let ((_let_71 (tptp.c2_1 tptp.a332))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.c0_1 tptp.a332))) (let ((_let_74 (not _let_73))) (let ((_let_75 (and tptp.ndr1_0 _let_74 _let_72 (not (tptp.c3_1 tptp.a332))))) (let ((_let_76 (tptp.c1_1 tptp.a330))) (let ((_let_77 (not _let_76))) (let ((_let_78 (tptp.c0_1 tptp.a330))) (let ((_let_79 (not _let_78))) (let ((_let_80 (tptp.c3_1 tptp.a330))) (let ((_let_81 (and tptp.ndr1_0 _let_80 _let_79 _let_77))) (let ((_let_82 (tptp.c3_1 tptp.a327))) (let ((_let_83 (not _let_82))) (let ((_let_84 (tptp.c1_1 tptp.a327))) (let ((_let_85 (tptp.c0_1 tptp.a327))) (let ((_let_86 (and tptp.ndr1_0 _let_85 _let_84 _let_83))) (let ((_let_87 (tptp.c3_1 tptp.a324))) (let ((_let_88 (not _let_87))) (let ((_let_89 (tptp.c1_1 tptp.a324))) (let ((_let_90 (not _let_89))) (let ((_let_91 (tptp.c0_1 tptp.a324))) (let ((_let_92 (not _let_91))) (let ((_let_93 (and tptp.ndr1_0 _let_92 _let_90 _let_88))) (let ((_let_94 (tptp.c3_1 tptp.a323))) (let ((_let_95 (not _let_94))) (let ((_let_96 (tptp.c2_1 tptp.a323))) (let ((_let_97 (not _let_96))) (let ((_let_98 (tptp.c1_1 tptp.a323))) (let ((_let_99 (not _let_98))) (let ((_let_100 (and tptp.ndr1_0 _let_99 _let_97 _let_95))) (let ((_let_101 (tptp.c0_1 tptp.a322))) (let ((_let_102 (not _let_101))) (let ((_let_103 (tptp.c3_1 tptp.a322))) (let ((_let_104 (tptp.c2_1 tptp.a322))) (let ((_let_105 (and tptp.ndr1_0 _let_104 _let_103 _let_102))) (let ((_let_106 (not (not (and (or (not tptp.hskp0) _let_105) (or (not tptp.hskp1) _let_100) (or (not tptp.hskp2) _let_93) (or (not tptp.hskp3) (and tptp.ndr1_0 (tptp.c0_1 tptp.a325) (tptp.c1_1 tptp.a325) (not (tptp.c2_1 tptp.a325)))) (or (not tptp.hskp4) (and tptp.ndr1_0 (tptp.c0_1 tptp.a326) (tptp.c2_1 tptp.a326) (not (tptp.c1_1 tptp.a326)))) (or (not tptp.hskp5) _let_86) (or (not tptp.hskp6) (and tptp.ndr1_0 (tptp.c2_1 tptp.a329) (not (tptp.c1_1 tptp.a329)) (not (tptp.c3_1 tptp.a329)))) (or (not tptp.hskp7) _let_81) (or (not tptp.hskp8) _let_75) (or (not tptp.hskp9) _let_70) (or (not tptp.hskp10) _let_64) (or (not tptp.hskp11) _let_58) (or (not tptp.hskp12) _let_53) (or (not tptp.hskp13) (and tptp.ndr1_0 (tptp.c0_1 tptp.a346) (tptp.c2_1 tptp.a346) (not (tptp.c3_1 tptp.a346)))) (or (not tptp.hskp14) (and tptp.ndr1_0 (tptp.c2_1 tptp.a347) (tptp.c3_1 tptp.a347) (not (tptp.c1_1 tptp.a347)))) (or (not tptp.hskp15) _let_48) (or (not tptp.hskp16) _let_42) (or (not tptp.hskp17) (and tptp.ndr1_0 (tptp.c1_1 tptp.a353) (tptp.c2_1 tptp.a353) (not (tptp.c0_1 tptp.a353)))) (or (not tptp.hskp18) (and tptp.ndr1_0 (tptp.c1_1 tptp.a354) (not (tptp.c2_1 tptp.a354)) (not (tptp.c3_1 tptp.a354)))) (or (not tptp.hskp19) _let_37) (or (not tptp.hskp20) (and tptp.ndr1_0 (tptp.c2_1 tptp.a358) (not (tptp.c0_1 tptp.a358)) (not (tptp.c3_1 tptp.a358)))) (or (not tptp.hskp21) _let_32) (or (not tptp.hskp22) _let_26) (or (not tptp.hskp23) (and tptp.ndr1_0 (tptp.c1_1 tptp.a377) (tptp.c3_1 tptp.a377) (not (tptp.c0_1 tptp.a377)))) (or (not tptp.hskp24) _let_20) (or (not tptp.hskp25) _let_14) (or (not tptp.hskp26) _let_8) (or (not tptp.hskp27) (and tptp.ndr1_0 (tptp.c1_1 tptp.a341) (tptp.c2_1 tptp.a341) (tptp.c3_1 tptp.a341))) (or (not tptp.hskp28) _let_4) (or (forall ((U $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U)))) (forall ((V $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 V) (tptp.c2_1 V) (not (tptp.c1_1 V))))) tptp.hskp0) (or (forall ((W $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W)))) (forall ((X $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X) (tptp.c2_1 X) (not (tptp.c3_1 X))))) tptp.hskp1) (or (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Y) (tptp.c1_1 Y) (tptp.c2_1 Y)))) (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 Z) (tptp.c3_1 Z) (not (tptp.c2_1 Z))))) tptp.hskp2) (or (forall ((X1 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X1) (tptp.c1_1 X1) (tptp.c2_1 X1)))) tptp.hskp3 tptp.hskp4) (or (forall ((X2 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X2) (tptp.c1_1 X2) (tptp.c2_1 X2)))) tptp.hskp5 tptp.hskp1) (or (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X3) (tptp.c1_1 X3) (tptp.c3_1 X3)))) (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X4)) (not (tptp.c1_1 X4)) (not (tptp.c2_1 X4))))) tptp.hskp6) (or (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X5) (tptp.c1_1 X5) (tptp.c3_1 X5)))) (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X6)) (not (tptp.c2_1 X6)) (not (tptp.c3_1 X6))))) tptp.hskp7) (or (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X7) (tptp.c1_1 X7) (not (tptp.c2_1 X7))))) (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X8) (not (tptp.c1_1 X8)) (not (tptp.c2_1 X8))))) tptp.hskp5) (or (forall ((X9 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X9) (tptp.c1_1 X9) (not (tptp.c2_1 X9))))) (forall ((X10 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X10) (not (tptp.c0_1 X10)) (not (tptp.c3_1 X10))))) (forall ((X11 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X11) (not (tptp.c2_1 X11)) (not (tptp.c3_1 X11)))))) (or (forall ((X12 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X12) (tptp.c1_1 X12) (not (tptp.c2_1 X12))))) (forall ((X13 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X13)) (not (tptp.c2_1 X13)) (not (tptp.c3_1 X13))))) tptp.hskp8) (or (forall ((X14 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X14) (tptp.c1_1 X14) (not (tptp.c3_1 X14))))) (forall ((X15 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X15) (tptp.c2_1 X15) (not (tptp.c0_1 X15))))) tptp.hskp26) (or (forall ((X16 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X16) (tptp.c1_1 X16) (not (tptp.c3_1 X16))))) (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X17) (tptp.c2_1 X17) (not (tptp.c0_1 X17))))) tptp.hskp9) (or (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X18) (tptp.c1_1 X18) (not (tptp.c3_1 X18))))) (forall ((X19 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X19)) (not (tptp.c1_1 X19)) (not (tptp.c2_1 X19))))) tptp.hskp7) (or (forall ((X20 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X20) (tptp.c2_1 X20) (tptp.c3_1 X20)))) tptp.hskp5 tptp.hskp10) (or (forall ((X21 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X21) (tptp.c2_1 X21) (not (tptp.c1_1 X21))))) (forall ((X22 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X22) (tptp.c3_1 X22) (not (tptp.c1_1 X22))))) tptp.hskp11) (or (forall ((X23 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X23) (tptp.c2_1 X23) (not (tptp.c1_1 X23))))) (forall ((X24 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X24) (not (tptp.c0_1 X24)) (not (tptp.c2_1 X24))))) (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X25) (tptp.c3_1 X25) (not (tptp.c0_1 X25)))))) (or (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X26) (tptp.c2_1 X26) (not (tptp.c1_1 X26))))) (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X27) (not (tptp.c2_1 X27)) (not (tptp.c3_1 X27))))) tptp.hskp5) (or (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X28) (tptp.c2_1 X28) (not (tptp.c1_1 X28))))) (forall ((X29 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X29) (not (tptp.c0_1 X29)) (not (tptp.c3_1 X29))))) (forall ((X30 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X30)) (not (tptp.c2_1 X30)) (not (tptp.c3_1 X30)))))) (or (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X31) (tptp.c2_1 X31) (not (tptp.c1_1 X31))))) (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X32) (not (tptp.c1_1 X32)) (not (tptp.c2_1 X32))))) (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X33)) (not (tptp.c1_1 X33)) (not (tptp.c2_1 X33)))))) (or (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X34) (tptp.c2_1 X34) (not (tptp.c1_1 X34))))) (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X35) (not (tptp.c1_1 X35)) (not (tptp.c2_1 X35))))) tptp.hskp4) (or (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X36) (tptp.c2_1 X36) (not (tptp.c3_1 X36))))) (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X37) (tptp.c3_1 X37) (not (tptp.c1_1 X37))))) tptp.hskp27) (or (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X38) (tptp.c2_1 X38) (not (tptp.c3_1 X38))))) (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X39) (tptp.c3_1 X39) (not (tptp.c1_1 X39))))) tptp.hskp7) (or (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X40) (tptp.c2_1 X40) (not (tptp.c3_1 X40))))) (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X41) (tptp.c2_1 X41) (not (tptp.c0_1 X41))))) (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X42) (not (tptp.c2_1 X42)) (not (tptp.c3_1 X42)))))) (or (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X43) (tptp.c2_1 X43) (not (tptp.c3_1 X43))))) (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X44) (not (tptp.c0_1 X44)) (not (tptp.c3_1 X44))))) tptp.hskp28) (or (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X45) (tptp.c3_1 X45) (not (tptp.c1_1 X45))))) (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X46) (not (tptp.c0_1 X46)) (not (tptp.c2_1 X46))))) (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X47) (tptp.c3_1 X47) (not (tptp.c1_1 X47)))))) (or (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X48) (tptp.c3_1 X48) (not (tptp.c1_1 X48))))) (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X49) (not (tptp.c0_1 X49)) (not (tptp.c3_1 X49))))) tptp.hskp26) (or (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X50) (tptp.c3_1 X50) (not (tptp.c2_1 X50))))) (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X51) (not (tptp.c0_1 X51)) (not (tptp.c3_1 X51))))) tptp.hskp12) (or (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X52) (tptp.c3_1 X52) (not (tptp.c2_1 X52))))) tptp.hskp13 tptp.hskp14) (or (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X53) (not (tptp.c1_1 X53)) (not (tptp.c2_1 X53))))) (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X54) (tptp.c2_1 X54) (not (tptp.c0_1 X54))))) tptp.hskp15) (or (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X55) (not (tptp.c1_1 X55)) (not (tptp.c2_1 X55))))) tptp.hskp16 tptp.hskp9) (or (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X56) (not (tptp.c1_1 X56)) (not (tptp.c3_1 X56))))) (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X57) (tptp.c2_1 X57) (not (tptp.c0_1 X57))))) (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X58) (not (tptp.c1_1 X58)) (not (tptp.c3_1 X58)))))) (or (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X59) (not (tptp.c1_1 X59)) (not (tptp.c3_1 X59))))) (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X60) (not (tptp.c0_1 X60)) (not (tptp.c2_1 X60))))) tptp.hskp12) (or (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X61) (not (tptp.c2_1 X61)) (not (tptp.c3_1 X61))))) (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X62) (not (tptp.c0_1 X62)) (not (tptp.c2_1 X62))))) tptp.hskp4) (or (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X63) (not (tptp.c2_1 X63)) (not (tptp.c3_1 X63))))) tptp.hskp17 tptp.hskp18) (or (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X64) (not (tptp.c2_1 X64)) (not (tptp.c3_1 X64))))) tptp.hskp19 tptp.hskp11) (or (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X65) (tptp.c2_1 X65) (tptp.c3_1 X65)))) (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X66) (tptp.c2_1 X66) (not (tptp.c3_1 X66))))) tptp.hskp12) (or (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X67) (tptp.c2_1 X67) (tptp.c3_1 X67)))) (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X68) (not (tptp.c0_1 X68)) (not (tptp.c3_1 X68))))) tptp.hskp20) (or (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X69) (tptp.c2_1 X69) (tptp.c3_1 X69)))) (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X70) (not (tptp.c0_1 X70)) (not (tptp.c1_1 X70))))) tptp.hskp21) (or (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X71) (tptp.c2_1 X71) (tptp.c3_1 X71)))) tptp.hskp5 tptp.hskp14) (or (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X72) (tptp.c2_1 X72) (tptp.c3_1 X72)))) tptp.hskp15 tptp.hskp16) (or (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X73) (tptp.c2_1 X73) (not (tptp.c0_1 X73))))) tptp.hskp19 tptp.hskp0) (or (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X74) (tptp.c2_1 X74) (not (tptp.c0_1 X74))))) tptp.hskp7 tptp.hskp22) (or (forall ((X75 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X75) (tptp.c2_1 X75) (not (tptp.c3_1 X75))))) (forall ((X76 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X76) (not (tptp.c0_1 X76)) (not (tptp.c3_1 X76))))) tptp.hskp2) (or (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X77) (tptp.c2_1 X77) (not (tptp.c3_1 X77))))) (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X78) (not (tptp.c1_1 X78)) (not (tptp.c3_1 X78))))) (forall ((X79 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X79)) (not (tptp.c1_1 X79)) (not (tptp.c2_1 X79)))))) (or (forall ((X80 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X80) (tptp.c3_1 X80) (not (tptp.c0_1 X80))))) (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X81) (tptp.c3_1 X81) (not (tptp.c0_1 X81))))) tptp.hskp22) (or (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X82) (tptp.c3_1 X82) (not (tptp.c2_1 X82))))) (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X83) (not (tptp.c0_1 X83)) (not (tptp.c2_1 X83))))) tptp.hskp5) (or (forall ((X84 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X84) (tptp.c3_1 X84) (not (tptp.c2_1 X84))))) (forall ((X85 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X85) (not (tptp.c0_1 X85)) (not (tptp.c3_1 X85))))) tptp.hskp19) (or (forall ((X86 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X86) (not (tptp.c0_1 X86)) (not (tptp.c2_1 X86))))) (forall ((X87 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X87) (not (tptp.c0_1 X87)) (not (tptp.c1_1 X87))))) tptp.hskp19) (or (forall ((X88 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X88) (not (tptp.c0_1 X88)) (not (tptp.c2_1 X88))))) (forall ((X89 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X89)) (not (tptp.c1_1 X89)) (not (tptp.c3_1 X89))))) tptp.hskp6) (or (forall ((X90 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X90) (not (tptp.c0_1 X90)) (not (tptp.c2_1 X90))))) tptp.hskp26 tptp.hskp27) (or (forall ((X91 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X91) (not (tptp.c0_1 X91)) (not (tptp.c3_1 X91))))) (forall ((X92 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X92) (not (tptp.c1_1 X92)) (not (tptp.c3_1 X92))))) tptp.hskp14) (or (forall ((X93 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X93) (not (tptp.c0_1 X93)) (not (tptp.c3_1 X93))))) tptp.hskp23 tptp.hskp22) (or (forall ((X94 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X94) (not (tptp.c2_1 X94)) (not (tptp.c3_1 X94))))) (forall ((X95 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X95) (not (tptp.c0_1 X95)) (not (tptp.c1_1 X95))))) tptp.hskp17) (or (forall ((X96 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X96) (not (tptp.c2_1 X96)) (not (tptp.c3_1 X96))))) (forall ((X97 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X97)) (not (tptp.c2_1 X97)) (not (tptp.c3_1 X97))))) tptp.hskp22) (or (forall ((X98 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X98) (not (tptp.c2_1 X98)) (not (tptp.c3_1 X98))))) tptp.hskp15) (or (forall ((X99 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X99) (tptp.c3_1 X99) (not (tptp.c0_1 X99))))) (forall ((X100 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X100) (not (tptp.c0_1 X100)) (not (tptp.c3_1 X100))))) (forall ((X101 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X101)) (not (tptp.c2_1 X101)) (not (tptp.c3_1 X101)))))) (or (forall ((X102 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X102) (tptp.c3_1 X102) (not (tptp.c0_1 X102))))) (forall ((X103 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X103)) (not (tptp.c1_1 X103)) (not (tptp.c2_1 X103))))) tptp.hskp10) (or (forall ((X104 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X104) (tptp.c3_1 X104) (not (tptp.c0_1 X104))))) tptp.hskp28 tptp.hskp27) (or (forall ((X105 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X105) (tptp.c3_1 X105) (not (tptp.c0_1 X105))))) tptp.hskp3 tptp.hskp8) (or (forall ((X106 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X106) (not (tptp.c0_1 X106)) (not (tptp.c1_1 X106))))) (forall ((X107 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X107) (not (tptp.c0_1 X107)) (not (tptp.c1_1 X107))))) tptp.hskp8) (or (forall ((X108 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X108) (not (tptp.c0_1 X108)) (not (tptp.c1_1 X108))))) (forall ((X109 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X109)) (not (tptp.c2_1 X109)) (not (tptp.c3_1 X109))))) tptp.hskp20) (or (forall ((X110 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X110) (not (tptp.c0_1 X110)) (not (tptp.c1_1 X110))))) tptp.hskp13 tptp.hskp12) (or (forall ((X111 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X111) (not (tptp.c1_1 X111)) (not (tptp.c3_1 X111))))) tptp.hskp28) (or (forall ((X112 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X112) (not (tptp.c0_1 X112)) (not (tptp.c2_1 X112))))) tptp.hskp3 tptp.hskp10) (or (forall ((X113 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X113) (not (tptp.c0_1 X113)) (not (tptp.c2_1 X113))))) tptp.hskp4 tptp.hskp16) (or (forall ((X114 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X114) (not (tptp.c0_1 X114)) (not (tptp.c2_1 X114))))) tptp.hskp2 tptp.hskp1) (or (forall ((X115 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X115) (not (tptp.c1_1 X115)) (not (tptp.c2_1 X115))))) tptp.hskp28 tptp.hskp7) (or (forall ((X116 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X116)) (not (tptp.c1_1 X116)) (not (tptp.c2_1 X116))))) tptp.hskp17 tptp.hskp24) (or (forall ((X117 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X117)) (not (tptp.c1_1 X117)) (not (tptp.c3_1 X117))))) (forall ((X118 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X118)) (not (tptp.c2_1 X118)) (not (tptp.c3_1 X118))))) tptp.hskp10) (or (forall ((X119 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X119)) (not (tptp.c2_1 X119)) (not (tptp.c3_1 X119))))) tptp.hskp5 tptp.hskp16) (or (forall ((X120 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X120)) (not (tptp.c2_1 X120)) (not (tptp.c3_1 X120))))) tptp.hskp3 tptp.hskp10) (or tptp.hskp26 tptp.hskp24 tptp.hskp2) (or tptp.hskp3 tptp.hskp5 tptp.hskp4) (or tptp.hskp4 tptp.hskp13 tptp.hskp8) (or tptp.hskp12 tptp.hskp17 tptp.hskp14) (or tptp.hskp25 tptp.hskp16) (or tptp.hskp25 tptp.hskp11 tptp.hskp1) (or tptp.hskp17 tptp.hskp24 tptp.hskp8) (or tptp.hskp17 tptp.hskp18 tptp.hskp11) (or tptp.hskp24 tptp.hskp7)))))) (let ((_let_107 (not _let_80))) (let ((_let_108 (tptp.c2_1 tptp.a330))) (let ((_let_109 (not _let_108))) (let ((_let_110 (or _let_76 _let_109 _let_107))) (let ((_let_111 (forall ((X5 $$unsorted)) (or (tptp.c0_1 X5) (tptp.c1_1 X5) (tptp.c3_1 X5))))) (let ((_let_112 (forall ((X6 $$unsorted)) (or (not (tptp.c0_1 X6)) (not (tptp.c2_1 X6)) (not (tptp.c3_1 X6)))))) (let ((_let_113 (not _let_5))) (let ((_let_114 (tptp.c2_1 tptp.a333))) (let ((_let_115 (not _let_114))) (let ((_let_116 (not _let_7))) (let ((_let_117 (or _let_116 _let_115 _let_113))) (let ((_let_118 (tptp.c3_1 tptp.a401))) (let ((_let_119 (not _let_118))) (let ((_let_120 (not _let_19))) (let ((_let_121 (or _let_15 _let_120 _let_119))) (let ((_let_122 (or _let_17 _let_118 _let_120))) (let ((_let_123 (forall ((X22 $$unsorted)) (or (tptp.c0_1 X22) (tptp.c3_1 X22) (not (tptp.c1_1 X22)))))) (let ((_let_124 (forall ((X49 $$unsorted)) (or (tptp.c2_1 X49) (not (tptp.c0_1 X49)) (not (tptp.c3_1 X49)))))) (let ((_let_125 (not _let_6))) (let ((_let_126 (or _let_114 _let_125 _let_113))) (let ((_let_127 (forall ((X3 $$unsorted)) (or (tptp.c0_1 X3) (tptp.c1_1 X3) (tptp.c3_1 X3))))) (let ((_let_128 (or _let_91 _let_89 _let_87))) (let ((_let_129 (not _let_128))) (let ((_let_130 (forall ((X76 $$unsorted)) (or (tptp.c2_1 X76) (not (tptp.c0_1 X76)) (not (tptp.c3_1 X76)))))) (let ((_let_131 (forall ((X75 $$unsorted)) (or (tptp.c1_1 X75) (tptp.c2_1 X75) (not (tptp.c3_1 X75)))))) (let ((_let_132 (forall ((X29 $$unsorted)) (or (tptp.c2_1 X29) (not (tptp.c0_1 X29)) (not (tptp.c3_1 X29)))))) (let ((_let_133 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_134 (not _let_133))) (let ((_let_135 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_136 (not _let_135))) (let ((_let_137 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_138 (or _let_137 _let_136 _let_134))) (let ((_let_139 (not _let_138))) (let ((_let_140 (not _let_137))) (let ((_let_141 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_142 (or _let_141 _let_140 _let_134))) (let ((_let_143 (forall ((X11 $$unsorted)) (or (tptp.c1_1 X11) (not (tptp.c2_1 X11)) (not (tptp.c3_1 X11)))))) (let ((_let_144 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_145 (not _let_144))) (let ((_let_146 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_147 (not _let_146))) (let ((_let_148 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_149 (or _let_148 _let_147 _let_145))) (let ((_let_150 (forall ((X10 $$unsorted)) (or (tptp.c1_1 X10) (not (tptp.c0_1 X10)) (not (tptp.c3_1 X10)))))) (let ((_let_151 (forall ((X9 $$unsorted)) (or (tptp.c0_1 X9) (tptp.c1_1 X9) (not (tptp.c2_1 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X80)))))) (let ((_let_547 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_548 (not _let_547))) (let ((_let_549 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_550 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_551 (or _let_550 _let_549 _let_548))) (let ((_let_552 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_553 (not _let_552))) (let ((_let_554 (or _let_549 _let_547 _let_553))) (let ((_let_555 (forall ((X81 $$unsorted)) (or (tptp.c2_1 X81) (tptp.c3_1 X81) (not (tptp.c0_1 X81)))))) (let ((_let_556 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_529 (= X14 X16)))))) (let ((_let_557 (not _let_529))) (let ((_let_558 (_let_557))) (let ((_let_559 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_199 (= X15 X17)))))) (let ((_let_560 (AND_ELIM _let_197 :args (40)))) (let ((_let_561 (AND_ELIM _let_197 :args (9)))) (let ((_let_562 (forall ((X40 $$unsorted)) (or (tptp.c0_1 X40) (tptp.c2_1 X40) (not (tptp.c3_1 X40)))))) (let ((_let_563 (forall ((X43 $$unsorted)) (or (tptp.c0_1 X43) (tptp.c2_1 X43) (not (tptp.c3_1 X43)))))) (let ((_let_564 (forall ((X41 $$unsorted)) (or (tptp.c1_1 X41) (tptp.c2_1 X41) (not (tptp.c0_1 X41)))))) (let ((_let_565 (forall ((X42 $$unsorted)) (or (tptp.c1_1 X42) (not (tptp.c2_1 X42)) (not (tptp.c3_1 X42)))))) (let ((_let_566 (tptp.c1_1 tptp.a322))) (let ((_let_567 (or _let_566 _let_300 _let_299))) (let ((_let_568 (or _let_245 _let_230 _let_228))) (let ((_let_569 (not _let_566))) (let ((_let_570 (or _let_101 _let_569 _let_300))) (let ((_let_571 (or _let_116 _let_125 _let_113))) (let ((_let_572 (forall ((X8 $$unsorted)) (or (tptp.c0_1 X8) (not (tptp.c1_1 X8)) (not (tptp.c2_1 X8)))))) (let ((_let_573 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_574 (not _let_573))) (let ((_let_575 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_576 (not _let_575))) (let ((_let_577 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_578 (not _let_577))) (let ((_let_579 (or _let_578 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_let_228))) (let ((_let_596 (REORDERING (CNF_OR_POS :args (_let_568)) :args ((or _let_245 _let_228 _let_230 (not _let_568)))))) (let ((_let_597 (_let_529))) (let ((_let_598 ((not (= (tptp.c0_1 X14) true))))) (let ((_let_599 (ASSUME :args _let_597))) (let ((_let_600 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_599 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_598)) :args _let_597)))) (let ((_let_601 (tptp.c1_1 tptp.a332))) (let ((_let_602 (or _let_73 _let_601 _let_71))) (let ((_let_603 (forall ((X73 $$unsorted)) (or (tptp.c1_1 X73) (tptp.c2_1 X73) (not (tptp.c0_1 X73)))))) (let ((_let_604 (not _let_601))) (let ((_let_605 (or _let_73 _let_71 _let_604))) (let ((_let_606 (or _let_241 _let_240 _let_466))) (let ((_let_607 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_239 (= U W)))))) (let ((_let_608 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_363 :args (tptp.a401 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_362)) :args _let_361)))) (let ((_let_609 (not _let_159))) (let 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(EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_282 (= X25 X81)))))) (let ((_let_622 (not _let_51))) (let ((_let_623 (not _let_52))) (let ((_let_624 (or _let_49 _let_623 _let_622))) (let ((_let_625 (AND_ELIM _let_197 :args (39)))) (let ((_let_626 (AND_ELIM _let_197 :args (26)))) (let ((_let_627 (not _let_8))) (let ((_let_628 (REORDERING (CNF_AND_POS :args (_let_8 1)) :args ((or _let_7 _let_627))))) (let ((_let_629 (REORDERING (CNF_AND_POS :args (_let_8 2)) :args ((or _let_6 _let_627))))) (let ((_let_630 (REORDERING (CNF_AND_POS :args (_let_8 3)) :args ((or _let_5 _let_627))))) (let ((_let_631 (REORDERING (CNF_OR_POS :args (_let_571)) :args ((or _let_116 _let_125 _let_113 (not _let_571)))))) (let ((_let_632 (not _let_53))) (let ((_let_633 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_421 :args (tptp.a333 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_420)) :args _let_419)))) (let ((_let_634 (not _let_277))) (let ((_let_635 (_let_634))) (let ((_let_636 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args 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(let ((_let_643 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_417 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_416)) :args _let_415)))) (let ((_let_644 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_463 :args (tptp.a330 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_462)) :args _let_461)))) (let ((_let_645 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_463 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_462)) :args _let_461)))) (let ((_let_646 (REORDERING (CNF_OR_POS :args (_let_618)) :args ((or _let_78 _let_107 _let_108 (not _let_618)))))) (let ((_let_647 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_143 (= X11 X98)))))) (let ((_let_648 (AND_ELIM _let_197 :args (83)))) (let ((_let_649 (_let_150))) (let ((_let_650 ((not (= (tptp.c1_1 X10) true))))) (let ((_let_651 (ASSUME :args _let_649))) (let ((_let_652 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_651 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_650)) :args _let_649)))) (let ((_let_653 (AND_ELIM _let_197 :args (15)))) (let ((_let_654 (not _let_48))) (let ((_let_655 (REORDERING (CNF_AND_POS :args (_let_48 1)) :args ((or _let_47 _let_654))))) (let ((_let_656 (REORDERING (CNF_AND_POS :args (_let_48 2)) :args ((or _let_46 _let_654))))) (let ((_let_657 (REORDERING (CNF_AND_POS :args (_let_48 3)) :args ((or _let_44 _let_654))))) (let ((_let_658 (REORDERING (CNF_OR_POS :args (_let_545)) :args ((or _let_45 _let_43 _let_544 (not _let_545)))))) (let ((_let_659 (_let_546))) (let ((_let_660 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_659) :args (tptp.a348 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X80) true))))) :args _let_659)))) (let ((_let_661 (AND_ELIM _let_197 :args (73)))) (let ((_let_662 (_let_185))) (let ((_let_663 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_662)) :args _let_662)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_185) _let_180))) (REFL :args (_let_181)) :args _let_166)))) (let ((_let_664 (CNF_OR_NEG :args (_let_178 0)))) (let ((_let_665 (CNF_OR_NEG :args (_let_178 1)))) (let ((_let_666 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_178 2)) (CONG (REFL :args (_let_178)) (MACRO_SR_PRED_INTRO :args ((= (not _let_171) _let_170))) :args _let_166)) :args ((or _let_170 _let_178))))) (let ((_let_667 (REORDERING (CNF_OR_POS :args (_let_619)) :args ((or _let_177 _let_171 _let_172 (not _let_619)))))) (let ((_let_668 (REORDERING (CNF_OR_POS :args (_let_175)) :args ((or _let_174 _let_171 _let_173 _let_179))))) (let ((_let_669 (MACRO_RESOLUTION_TRUST _let_668 _let_667 _let_666 _let_665 _let_664 _let_663 _let_190 _let_196 _let_198 _let_661 _let_330 _let_660 _let_658 _let_657 _let_656 _let_655 _let_653 _let_652 _let_648 _let_330 _let_528 _let_330 _let_647 _let_524 _let_513 _let_523 _let_507 _let_519 _let_646 _let_645 _let_644 (MACRO_RESOLUTION_TRUST _let_643 _let_423 _let_642 _let_438 _let_330 _let_641 _let_439 _let_640 _let_639 _let_638 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_442 :args (tptp.a345 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_441)) :args _let_440)) _let_636 (REORDERING (CNF_OR_POS :args (_let_624)) :args ((or _let_49 _let_623 _let_622 (not _let_624)))) _let_633 (REORDERING (CNF_AND_POS :args (_let_53 3)) :args ((or _let_50 _let_632))) (REORDERING (CNF_AND_POS :args (_let_53 2)) :args ((or _let_51 _let_632))) (REORDERING (CNF_AND_POS :args (_let_53 1)) :args ((or _let_52 _let_632))) _let_631 (AND_ELIM _let_197 :args (12)) _let_630 _let_629 _let_628 (AND_ELIM _let_197 :args (64)) _let_330 _let_626 _let_319 _let_625 _let_330 _let_315 _let_600 _let_444 _let_314 _let_313 _let_312 _let_596 _let_491 _let_306 _let_495 _let_490 _let_489 _let_493 (AND_ELIM _let_197 :args (30)) _let_330 _let_488 :args ((or _let_587 _let_244 _let_199 _let_283 _let_492 _let_620) false _let_112 true _let_584 false _let_279 false tptp.ndr1_0 false _let_581 true _let_284 false _let_573 false _let_575 false _let_577 true _let_132 true _let_579 true _let_624 true _let_277 true _let_49 false _let_51 false _let_52 true _let_571 false _let_53 false _let_5 false _let_6 false _let_7 false tptp.hskp12 false tptp.ndr1_0 false _let_8 true _let_233 false tptp.hskp26 false tptp.ndr1_0 true _let_273 true _let_529 true _let_180 true _let_94 true _let_96 true _let_98 true _let_568 true _let_231 false _let_100 true _let_230 false _let_227 true _let_229 true _let_245 false tptp.hskp1 false tptp.ndr1_0 true _let_246)) _let_437 _let_621 :args ((or _let_78 _let_76 _let_587 _let_199 _let_282 _let_107 _let_492 _let_620) false _let_172 false _let_170 true _let_177 true _let_174 true _let_178 true _let_180 true _let_183 false _let_26 false tptp.hskp22 false tptp.ndr1_0 true _let_546 true _let_545 true _let_43 true _let_45 false _let_47 false _let_48 false _let_175 false tptp.hskp15 false tptp.ndr1_0 false _let_150 false tptp.ndr1_0 true _let_543 true _let_151 true _let_143 true _let_152 true _let_110 true _let_155 false _let_108 false _let_619 false _let_618 false _let_244 true _let_283 true _let_555)))) (let ((_let_670 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_671 (not _let_670))) (let ((_let_672 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_673 (not _let_672))) (let ((_let_674 (or (not (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_673 _let_671))) (let ((_let_675 (not _let_112))) (let ((_let_676 (_let_675))) (let ((_let_677 (REFL :args (_let_674)))) (let ((_let_678 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_679 (or _let_678 _let_673 _let_671))) (let ((_let_680 (not _let_678))) (let ((_let_681 (or _let_680 _let_673 _let_671))) (let ((_let_682 (not _let_540))) (let ((_let_683 (not _let_70))) (let ((_let_684 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_540)) :args ((or _let_67 _let_65 _let_539 _let_682))) (REORDERING (CNF_AND_POS :args (_let_70 3)) :args ((or _let_66 _let_683))) (REORDERING (CNF_AND_POS :args (_let_70 2)) :args ((or _let_68 _let_683))) (REORDERING (CNF_AND_POS :args (_let_70 1)) :args ((or _let_69 _let_683))) :args ((or _let_683 _let_682) true _let_65 true _let_67 false _let_69)))) (let ((_let_685 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_522 :args (tptp.a334 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_521)) :args _let_520)))) (let ((_let_686 (or _let_581 _let_578 _let_574))) (let ((_let_687 ((not (= (tptp.c0_1 X29) false))))) (let ((_let_688 (MACRO_RESOLUTION_TRUST _let_337 _let_341 _let_336 _let_335 _let_334 _let_350 _let_332 _let_352 _let_330 (AND_ELIM _let_197 :args (52)) _let_330 _let_351 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_132 (= X29 X44)))) _let_617 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_442 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_687)) :args _let_440)) _let_641 (REORDERING (CNF_OR_POS :args (_let_686)) :args ((or _let_578 _let_574 _let_581 (not _let_686)))) :args ((or _let_563 _let_223 _let_578 _let_576 _let_574 _let_581) false _let_219 false _let_1 false _let_2 false _let_3 false _let_220 false _let_4 false _let_222 false tptp.ndr1_0 false tptp.hskp28 false tptp.ndr1_0 true _let_214 true (forall ((X44 $$unsorted)) (or (tptp.c2_1 X44) (not (tptp.c0_1 X44)) (not (tptp.c3_1 X44)))) true _let_213 true _let_132 true _let_582 true _let_686)))) (let ((_let_689 (REORDERING (CNF_OR_POS :args (_let_585)) :args ((or _let_576 _let_574 _let_583 (not _let_585)))))) (let ((_let_690 (REORDERING (CNF_OR_POS :args (_let_586)) :args ((or _let_578 _let_576 _let_583 (not _let_586)))))) (let ((_let_691 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_412)) :args _let_411)))) (let ((_let_692 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_340 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_339)) :args _let_338)))) (let ((_let_693 (not _let_75))) (let ((_let_694 (_let_572))) (let ((_let_695 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_442 :args (tptp.a367 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_441)) :args _let_440)))) (let ((_let_696 (REORDERING (CNF_OR_POS :args (_let_165)) :args ((or _let_21 _let_161 _let_164 (not _let_165)))))) (let ((_let_697 (MACRO_RESOLUTION_TRUST _let_696 (REORDERING (CNF_OR_POS :args (_let_588)) :args ((or _let_23 _let_21 _let_162 (not _let_588)))) _let_695 _let_195 _let_194 _let_193 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_381 :args (tptp.a367 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_380)) :args _let_379)) _let_439 _let_198 _let_607 _let_438 _let_330 _let_661 _let_330 _let_669 _let_514 _let_437 _let_621 _let_436 _let_505 _let_518 _let_504 _let_432 _let_499 _let_426 (AND_ELIM _let_197 :args (41)) _let_330 _let_425 _let_330 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_220 (= X4 X19)))) _let_422 _let_423 _let_660 _let_692 _let_691 _let_643 _let_658 _let_690 _let_689 _let_642 (REORDERING (CNF_OR_NEG :args (_let_582 0)) :args ((or _let_583 _let_582))) _let_657 _let_656 _let_655 _let_688 _let_653 _let_640 _let_639 _let_638 (AND_ELIM _let_197 :args (57)) _let_330 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_199 (= X15 X54)))) _let_514 :args ((not _let_580) true _let_199)) _let_636 _let_424 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_572 (= X8 X53)))) _let_633 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_694) :args (tptp.a322 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X8) true))))) :args _let_694)) _let_631 (REORDERING (CNF_OR_POS :args (_let_570)) :args ((or _let_101 _let_300 _let_569 (not _let_570)))) _let_630 _let_629 _let_628 (REORDERING (CNF_OR_POS :args (_let_567)) :args ((or _let_300 _let_299 _let_566 (not _let_567)))) _let_626 _let_388 _let_387 _let_386 _let_625 _let_330 _let_514 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_529 (= X14 X18)))) _let_353 _let_384 _let_600 _let_444 (MACRO_RESOLUTION_TRUST _let_337 _let_336 _let_335 _let_334 _let_341 _let_332 _let_350 _let_331 _let_330 _let_352 _let_330 _let_327 _let_351 _let_326 _let_443 _let_305 _let_272 _let_271 _let_270 _let_263 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_605)) :args ((or _let_73 _let_71 _let_604 (not _let_605)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_363 :args (tptp.a332 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_362)) :args _let_361)) (REORDERING (CNF_OR_POS :args (_let_602)) :args ((or _let_73 _let_71 _let_601 (not _let_602)))) _let_368 (REORDERING (CNF_AND_POS :args (_let_75 2)) :args ((or _let_72 _let_693))) (REORDERING (CNF_AND_POS :args (_let_75 1)) :args ((or _let_74 _let_693))) _let_370 _let_330 (AND_ELIM _let_197 :args (8)) _let_342 (AND_ELIM _let_197 :args (38)) _let_330 _let_692 _let_691 _let_690 _let_689 _let_688 _let_640 _let_639 _let_638 _let_636 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_152 (= X7 X12)))) _let_633 _let_375 _let_685 _let_631 (MACRO_RESOLUTION_TRUST _let_401 _let_398 _let_397 :args ((or _let_33 _let_396 _let_400) false _let_35 false _let_36)) _let_399 _let_684 _let_630 _let_629 _let_628 _let_395 _let_561 _let_626 (REORDERING (AND_ELIM _let_197 :args (69)) :args ((or tptp.hskp0 tptp.hskp19 _let_393 _let_603))) _let_330 _let_560 _let_330 _let_625 _let_330 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_199 (= X15 X73)))) _let_559 _let_556 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_381 :args (tptp.a332 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_380)) :args _let_379)) (MACRO_RESOLUTION_TRUST _let_359 _let_360 _let_358 _let_357 _let_356 _let_402 _let_403 _let_330 _let_407 _let_408 _let_409 _let_414 _let_498 _let_500 _let_330 _let_320 _let_509 _let_479 _let_513 _let_478 _let_198 _let_507 (REORDERING (CNF_OR_POS :args (_let_606)) :args ((or _let_241 _let_240 _let_466 (not _let_606)))) _let_196 _let_506 _let_355 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_188 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_187)) :args _let_186)) _let_190 _let_189 _let_353 _let_352 _let_330 _let_350 _let_341 _let_337 _let_336 _let_335 _let_334 _let_332 _let_331 _let_330 _let_327 _let_351 (MACRO_RESOLUTION_TRUST _let_642 _let_641 _let_640 _let_639 _let_638 _let_636 _let_633 _let_631 _let_630 _let_629 _let_628 _let_626 _let_625 _let_330 _let_600 _let_596 _let_495 _let_490 _let_493 _let_488 _let_643 _let_486 (MACRO_RESOLUTION_TRUST _let_320 _let_479 _let_403 _let_330 _let_478 _let_402 _let_477 _let_476 _let_474 _let_464 (MACRO_RESOLUTION_TRUST _let_424 _let_633 _let_425 _let_330 _let_631 _let_422 _let_630 _let_629 _let_628 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_413 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 X13) false))))) :args _let_411)) _let_626 (REORDERING (CNF_OR_POS :args (_let_681)) :args ((or _let_673 _let_671 _let_680 (not _let_681)))) _let_625 _let_330 (REORDERING (CNF_OR_POS :args (_let_679)) :args ((or _let_673 _let_671 _let_678 (not _let_679)))) _let_600 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_512 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_511)) :args _let_510)) _let_596 _let_593 _let_495 _let_490 _let_493 _let_592 _let_330 _let_488 _let_589 _let_591 :args ((or tptp.hskp10 _let_244 _let_199 _let_673 _let_671 _let_492) true _let_277 false _let_280 false tptp.ndr1_0 true _let_571 true _let_278 false _let_5 false _let_6 false _let_7 true _let_256 false _let_8 true _let_681 false tptp.hskp26 false tptp.ndr1_0 false _let_678 true _let_529 false _let_679 true _let_568 false _let_143 true _let_230 false _let_227 true _let_245 false _let_565 false tptp.ndr1_0 true _let_246 true _let_562 true _let_564)) _let_482 _let_485 _let_481 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_674 2)) (CONG _let_677 (MACRO_SR_PRED_INTRO :args ((= (not _let_671) _let_670))) :args _let_166)) :args ((or _let_670 _let_674))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_674 1)) (CONG _let_677 (MACRO_SR_PRED_INTRO :args ((= (not _let_673) _let_672))) :args _let_166)) :args ((or _let_672 _let_674))) (AND_ELIM _let_197 :args (98)) _let_330 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_676)) :args _let_676)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_675) _let_112))) (REFL :args ((not _let_674))) :args _let_166)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_112 (= X6 X119)))) _let_263 _let_269 _let_266 _let_267 _let_268 _let_271 _let_272 :args ((or tptp.hskp10 tptp.hskp16 _let_112 _let_242 _let_241 _let_240 _let_492) true _let_233 false _let_234 false tptp.ndr1_0 true _let_468 true tptp.hskp21 true _let_465 true _let_32 false _let_467 false _let_456 false _let_244 true _let_274 true _let_473 false _let_86 false _let_670 false _let_672 false tptp.hskp5 false tptp.ndr1_0 true _let_674 true (forall ((X119 $$unsorted)) (or (not (tptp.c0_1 X119)) (not (tptp.c2_1 X119)) (not (tptp.c3_1 X119)))) true _let_199 true _let_209 false _let_13 true _let_11 true _let_9 false _let_14 false tptp.hskp25)) _let_426 _let_432 _let_436 _let_669 _let_263 _let_269 _let_268 _let_267 _let_266 _let_271 _let_272 _let_305 _let_443 _let_617 _let_326 :args ((or _let_78 _let_76 _let_587 _let_107 (not _let_213) _let_242 _let_241 _let_240 _let_492) false _let_581 false _let_573 false _let_575 false _let_577 true _let_579 true _let_277 true _let_571 false _let_5 false _let_6 false _let_7 false _let_8 false tptp.hskp26 false tptp.ndr1_0 true _let_529 true _let_568 true _let_230 false _let_227 true _let_245 true _let_246 false _let_584 true _let_244 false _let_112 true tptp.hskp10 true _let_64 false _let_281 false _let_282 true _let_199 true _let_209 true _let_9 true _let_11 false _let_13 false _let_14 false tptp.hskp25 true tptp.hskp16 true _let_42 false _let_582 false _let_212)) _let_505 _let_518 _let_504 _let_499 _let_616 _let_615 _let_614 _let_496 _let_608 _let_364 _let_455 _let_454 _let_453 _let_383 _let_330 _let_452 _let_607 :args ((or tptp.hskp0 _let_239) true _let_344 true _let_27 true _let_29 false _let_31 false _let_32 false tptp.hskp21 false tptp.ndr1_0 true _let_274 true _let_275 true _let_251 false _let_255 false _let_256 false _let_257 false tptp.ndr1_0 true _let_234 true _let_258 true _let_233 true _let_143 true _let_468 true tptp.hskp22 true _let_110 true _let_465 true _let_26 false _let_108 false _let_345 false _let_606 false _let_183 false _let_182 false _let_180 false _let_223 false tptp.ndr1_0 true _let_222 true _let_220 true _let_219 false _let_1 false _let_2 false _let_3 false _let_4 false tptp.hskp28 false tptp.ndr1_0 true _let_215 true _let_214 true _let_213 true _let_76 true _let_78 false _let_80 false _let_81 false tptp.hskp7 true tptp.hskp24 true _let_20 false _let_248 false _let_159 false _let_347 true _let_240 true _let_241 true _let_242 false _let_160 false tptp.ndr1_0 true _let_243 true _let_587)) :args ((or tptp.hskp0 _let_529 _let_199 _let_563 _let_223) false _let_605 false _let_601 false _let_160 true _let_71 true _let_73 false _let_249 false tptp.ndr1_0 false _let_75 true _let_221 false tptp.hskp8 false tptp.ndr1_0 true _let_220 true _let_256 true _let_586 true _let_585 false _let_581 false _let_573 false _let_575 false _let_577 true _let_579 true (forall ((X12 $$unsorted)) (or (tptp.c0_1 X12) (tptp.c1_1 X12) (not (tptp.c2_1 X12)))) true _let_277 true _let_250 true _let_152 true _let_571 true _let_294 true _let_33 true _let_540 false _let_5 false _let_6 false _let_7 false _let_37 false _let_70 false _let_8 false tptp.hskp19 false tptp.ndr1_0 false tptp.hskp9 false tptp.ndr1_0 false tptp.hskp26 false tptp.ndr1_0 true _let_603 true _let_536 true _let_530 false _let_602 false _let_239)) _let_353 _let_600 _let_444 _let_596 _let_491 _let_495 _let_490 _let_489 _let_493 _let_488 _let_590 :args ((or tptp.hskp0 _let_244 _let_492) false _let_1 false _let_2 false _let_3 false _let_219 false _let_4 false _let_220 false tptp.hskp28 false tptp.ndr1_0 false _let_222 false tptp.ndr1_0 true _let_215 true _let_214 true _let_213 true _let_212 false _let_42 false tptp.hskp16 true tptp.hskp25 true _let_14 false _let_209 false _let_199 true _let_223 true _let_529 true _let_180 true _let_568 true _let_231 true _let_230 false _let_227 true _let_229 true _let_245 true _let_246 true _let_563)) _let_596 _let_491 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_248 2)) (CONG (REFL :args _let_494) (MACRO_SR_PRED_INTRO :args ((= (not _let_247) _let_230))) :args _let_166)) :args ((or _let_230 _let_248))) (MACRO_RESOLUTION_TRUST _let_369 _let_330 (MACRO_RESOLUTION_TRUST _let_371 _let_514 :args ((not _let_291) true _let_199)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_367 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_366)) :args _let_365)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_325 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_324)) :args _let_323)) (REORDERING (CNF_OR_POS :args (_let_595)) :args ((or _let_245 _let_228 _let_247 (not _let_595)))) (REORDERING (CNF_OR_POS :args (_let_594)) :args ((or _let_229 _let_228 _let_247 (not _let_594)))) :args ((or _let_245 _let_229 _let_228 _let_247) false tptp.ndr1_0 true _let_291 true _let_290 true _let_213 true _let_595 true _let_594)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_512 :args (tptp.a322 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_511)) :args _let_510)) _let_593 _let_490 _let_489 _let_493 _let_592 _let_330 (MACRO_RESOLUTION_TRUST _let_591 _let_514 :args ((not _let_564) true _let_199)) _let_488 _let_590 _let_589 :args (_let_244 false _let_162 false _let_165 true _let_21 true _let_23 false _let_25 false _let_588 false _let_132 false _let_26 false _let_239 false _let_284 false tptp.ndr1_0 false tptp.hskp22 false tptp.ndr1_0 false _let_587 true _let_199 true _let_283 true _let_555 true _let_282 true _let_76 true _let_78 false _let_80 true _let_281 false _let_81 false _let_64 false tptp.hskp7 false tptp.ndr1_0 false tptp.hskp10 false tptp.ndr1_0 true (forall ((X19 $$unsorted)) (or (not (tptp.c0_1 X19)) (not (tptp.c1_1 X19)) (not (tptp.c2_1 X19)))) true _let_278 true _let_279 true _let_546 true _let_220 true _let_256 true _let_112 true _let_545 true _let_586 true _let_585 true _let_584 false _let_582 true _let_43 true _let_45 false _let_47 false _let_581 false _let_48 false _let_573 false _let_575 false _let_577 false tptp.hskp15 false tptp.ndr1_0 true _let_580 true _let_579 true _let_280 true (forall ((X53 $$unsorted)) (or (tptp.c0_1 X53) (not (tptp.c1_1 X53)) (not (tptp.c2_1 X53)))) true _let_277 true _let_572 true _let_571 true _let_570 false _let_5 false _let_6 false _let_7 false _let_566 false _let_8 true _let_101 false _let_103 false _let_104 false tptp.hskp26 false tptp.ndr1_0 true _let_199 true (forall ((X18 $$unsorted)) (or (tptp.c0_1 X18) (tptp.c1_1 X18) (not (tptp.c3_1 X18)))) true _let_223 false _let_105 true _let_529 true _let_180 false tptp.hskp0 true _let_568 true _let_231 false _let_248 true _let_230 false _let_567 false _let_143 false _let_227 true _let_229 true _let_245 false _let_565 false tptp.ndr1_0 true _let_564 true _let_246 true _let_563 true _let_562)))) (let ((_let_698 (MACRO_RESOLUTION_TRUST _let_667 (MACRO_RESOLUTION_TRUST _let_645 _let_697 :args (_let_619 false _let_244)) _let_668 _let_666 _let_665 _let_664 :args ((or _let_178 _let_179) false _let_619 true _let_172 false _let_170 true _let_177 true _let_174)))) (let ((_let_699 (or _let_550 _let_549 _let_553))) (let ((_let_700 (not _let_699))) (let ((_let_701 (_let_259))) (let ((_let_702 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_701)) :args _let_701)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_259) _let_199))) (REFL :args (_let_700)) :args _let_166)) _let_514 :args (_let_700 true _let_199)))) (let ((_let_703 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_699 1)) _let_702 :args ((not _let_549) true _let_699)))) (let ((_let_704 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_599 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_598)) :args _let_597)) (MACRO_RESOLUTION_TRUST _let_621 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_435 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_434)) :args _let_433)) _let_661 _let_330 (REORDERING (CNF_OR_POS :args (_let_554)) :args ((or _let_549 _let_553 _let_547 (not _let_554)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_699 2)) (CONG (REFL :args (_let_699)) (MACRO_SR_PRED_INTRO :args ((= (not _let_553) _let_552))) :args _let_166)) :args ((or _let_552 _let_699))) _let_702 :args (_let_552 true _let_699)) _let_703 _let_198 (REORDERING (CNF_OR_POS :args (_let_551)) :args ((or _let_550 _let_549 _let_548 (not _let_551)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_699 0)) _let_702 :args ((not _let_550) true _let_699)) _let_703 _let_196 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_188 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_187)) :args _let_186)) _let_190 _let_663 _let_698 _let_660 _let_658 _let_657 _let_656 _let_655 _let_653 _let_652 _let_648 _let_330 _let_528 _let_330 _let_647 _let_524 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_512 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_511)) :args _let_510)) _let_685 (REORDERING (CNF_OR_POS :args (_let_542)) :args ((or _let_533 _let_532 _let_541 (not _let_542)))) _let_684 (REORDERING (CNF_OR_POS :args (_let_538)) :args ((or _let_534 _let_532 _let_537 (not _let_538)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_463 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_462)) :args _let_461)) _let_697 :args (_let_538 false _let_244)) _let_561 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_535 2)) (CONG (REFL :args (_let_535)) (MACRO_SR_PRED_INTRO :args ((= (not _let_532) _let_531))) :args _let_166)) :args ((or _let_531 _let_535))) (CNF_OR_NEG :args (_let_535 1)) (CNF_OR_NEG :args (_let_535 0)) _let_560 _let_330 (MACRO_RESOLUTION_TRUST _let_559 _let_514 :args ((not _let_536) true _let_199)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_558)) :args _let_558)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_557) _let_529))) (REFL :args ((not _let_535))) :args _let_166)) _let_556 :args (_let_529 true _let_282 false _let_555 false tptp.ndr1_0 true _let_554 false _let_552 true _let_549 true tptp.hskp22 true _let_547 true _let_550 true _let_549 true _let_26 false _let_551 false _let_183 false _let_180 false _let_178 true _let_546 true _let_545 true _let_43 true _let_45 false _let_47 false _let_48 false _let_175 false tptp.hskp15 false tptp.ndr1_0 false _let_150 false tptp.ndr1_0 true _let_543 true _let_151 true _let_143 true _let_152 true _let_542 true _let_540 false _let_537 false _let_538 false _let_70 false _let_531 true _let_533 true _let_534 false tptp.hskp9 false tptp.ndr1_0 true _let_536 true _let_535 true _let_530)) :args (_let_154 false _let_529)))) (let ((_let_705 (REORDERING (CNF_OR_POS :args (_let_154)) :args ((or _let_148 _let_145 _let_153 (not _let_154)))))) (let ((_let_706 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_184)) :args ((or _let_148 _let_145 _let_156 (not _let_184)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_651 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_650)) :args _let_649)) _let_705 _let_704 _let_528 _let_330 _let_527 _let_525 _let_524 _let_169 _let_523 _let_513 (MACRO_RESOLUTION_TRUST _let_519 _let_506 _let_505 _let_518 _let_504 :args ((or _let_503 _let_502 _let_517) false _let_108 true _let_76 true _let_78 false _let_80)) _let_508 _let_499 _let_516 _let_330 _let_515 _let_198 _let_196 _let_190 _let_189 :args (_let_185 false _let_184 false _let_153 false _let_154 false _let_150 false tptp.ndr1_0 false _let_144 true _let_148 true _let_151 true _let_149 true _let_152 true _let_143 true _let_155 true _let_110 false _let_81 false tptp.hskp7 false tptp.ndr1_0 true _let_158 true tptp.hskp22 true _let_26 false _let_183 false _let_182)))) (let ((_let_707 (MACRO_RESOLUTION_TRUST _let_652 (MACRO_RESOLUTION_TRUST _let_698 (MACRO_RESOLUTION_TRUST _let_663 _let_706 :args (_let_181 true _let_180)) :args (_let_179 true _let_178)) :args (_let_176 true _let_175)))) (let ((_let_708 (MACRO_RESOLUTION_TRUST _let_644 _let_697 :args (_let_618 false _let_244)))) (let ((_let_709 (MACRO_RESOLUTION_TRUST _let_695 (AND_ELIM _let_197 :args (46)) _let_330 _let_696 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_160 (= V X28)))) (REORDERING (CNF_OR_POS :args (_let_163)) :args ((or _let_21 _let_161 _let_162 (not _let_163)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_463 :args (tptp.a367 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 X) true))))) :args _let_461)) _let_697 :args (_let_163 false _let_244)) _let_608 _let_195 _let_193 _let_614 _let_198 _let_615 _let_516 _let_330 _let_515 _let_616 _let_499 (MACRO_RESOLUTION_TRUST _let_519 _let_646 _let_708 _let_505 _let_518 _let_504 :args ((or _let_503 _let_517) false _let_108 false _let_618 true _let_76 true _let_78 false _let_80)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_112 (= X6 X30)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_417 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_416)) :args _let_415)) (REORDERING (CNF_OR_POS :args (_let_157)) :args ((or _let_147 _let_145 _let_156 (not _let_157)))) _let_523 _let_705 _let_704 _let_524 _let_527 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_149 1)) (CONG _let_526 (MACRO_SR_PRED_INTRO :args ((= (not _let_147) _let_146))) :args _let_166)) :args ((or _let_146 _let_149))) _let_525 _let_528 _let_330 _let_707 _let_169 :args (_let_143 false _let_132 false tptp.ndr1_0 true _let_165 true (forall ((X28 $$unsorted)) (or (tptp.c0_1 X28) (tptp.c2_1 X28) (not (tptp.c1_1 X28)))) false _let_162 false _let_163 true _let_160 true _let_21 false _let_25 true _let_159 false _let_26 false _let_20 false tptp.hskp22 false tptp.ndr1_0 true _let_158 false tptp.hskp24 true tptp.hskp7 true _let_81 true (forall ((X30 $$unsorted)) (or (not (tptp.c0_1 X30)) (not (tptp.c2_1 X30)) (not (tptp.c3_1 X30)))) true _let_112 true _let_157 false _let_155 false _let_153 false _let_154 false _let_152 false _let_144 false _let_146 true _let_148 false _let_151 false tptp.ndr1_0 true _let_150 true _let_149)))) (let ((_let_710 (or _let_141 _let_136 _let_134))) (let ((_let_711 (not _let_710))) (let ((_let_712 (_let_176))) (let ((_let_713 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_712)) :args _let_712)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_176) _let_150))) (REFL :args (_let_711)) :args _let_166)) _let_707 :args (_let_711 true _let_150)))) (let ((_let_714 (REFL :args (_let_710)))) (let ((_let_715 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_710 2)) (CONG _let_714 (MACRO_SR_PRED_INTRO :args ((= (not _let_134) _let_133))) :args _let_166)) :args ((or _let_133 _let_710))) _let_713 :args (_let_133 true _let_710)))) (let ((_let_716 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_442 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_687)) :args _let_440)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_138)) :args ((or _let_136 _let_134 _let_137 _let_139))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_710 1)) (CONG _let_714 (MACRO_SR_PRED_INTRO :args ((= (not _let_136) _let_135))) :args _let_166)) :args ((or _let_135 _let_710))) _let_713 :args (_let_135 true _let_710)) _let_715 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_142)) :args ((or _let_141 _let_134 _let_140 (not _let_142)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_710 0)) _let_713 :args ((not _let_141) true _let_710)) _let_715 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_512 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_511)) :args _let_510)) _let_709 :args (_let_142 false _let_143)) :args (_let_140 true _let_141 false _let_133 false _let_142)) :args (_let_139 false _let_135 false _let_133 true _let_137)) :args ((not _let_132) true _let_138)))) (let ((_let_717 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_197 :args (2)) (MACRO_RESOLUTION_TRUST (AND_ELIM _let_197 :args (71)) _let_330 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_180 (= X66 X75)))) _let_706 :args ((not _let_131) true _let_180)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_132 (= X29 X76)))) _let_716 :args ((not _let_130) true _let_132)) :args (tptp.hskp2 false tptp.ndr1_0 true _let_131 true _let_130)) :args (_let_93 false tptp.hskp2)))) (let ((_let_718 (not _let_93))) (let ((_let_719 (MACRO_RESOLUTION_TRUST _let_337 _let_336 _let_335 _let_334 _let_341 _let_332 _let_350 _let_331 _let_330 _let_352 _let_330 (MACRO_RESOLUTION_TRUST _let_353 _let_706 :args ((not _let_223) true _let_180)) _let_327 _let_351 :args (_let_213 false _let_1 false _let_2 false _let_3 false _let_219 false _let_4 false _let_220 false tptp.hskp28 false tptp.ndr1_0 false _let_222 false tptp.ndr1_0 true _let_223 true _let_215 true _let_214)))) (let ((_let_720 (_let_123))) (let ((_let_721 (MACRO_RESOLUTION_TRUST _let_499 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_125 _let_113 _let_114 (not _let_126)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_325 :args (tptp.a333 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_324)) :args _let_323)) _let_719 :args (_let_126 false _let_213)) (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_116 _let_113 _let_115 (not _let_117)))) _let_630 _let_629 _let_628 _let_626 (AND_ELIM _let_197 :args (54)) _let_330 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_132 (= X29 X49)))) _let_716 :args ((not _let_124) true _let_132)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_123 (= X22 X48)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_720) :args (tptp.a401 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X22) true))))) :args _let_720)) (REORDERING (CNF_OR_POS :args (_let_122)) :args ((or _let_17 _let_120 _let_118 (not _let_122)))) (REORDERING (CNF_OR_POS :args (_let_121)) :args ((or _let_15 _let_120 _let_119 (not _let_121)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_325 :args (tptp.a401 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_324)) :args _let_323)) _let_719 :args (_let_121 false _let_213)) _let_613 _let_612 _let_611 _let_615 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_417 :args (tptp.a333 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_416)) :args _let_415)) _let_616 _let_497 _let_330 (MACRO_RESOLUTION_TRUST _let_449 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_448 :args (tptp.a324 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X3) true))))) :args _let_447)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_128)) :args ((or _let_91 _let_89 _let_87 _let_129))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_93 1)) :args ((or _let_92 _let_718))) _let_717 :args (_let_92 false _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_93 2)) :args ((or _let_90 _let_718))) _let_717 :args (_let_90 false _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_93 3)) :args ((or _let_88 _let_718))) _let_717 :args (_let_88 false _let_93)) :args (_let_129 true _let_91 true _let_89 true _let_87)) :args ((not _let_127) true _let_128)) :args ((not _let_111) true _let_127)) :args (tptp.hskp7 false _let_126 true _let_114 false _let_5 false _let_6 false _let_7 false _let_8 false tptp.hskp26 false tptp.ndr1_0 true _let_124 true (forall ((X48 $$unsorted)) (or (tptp.c0_1 X48) (tptp.c3_1 X48) (not (tptp.c1_1 X48)))) true _let_123 true _let_122 true _let_118 false _let_121 true _let_15 true _let_17 false _let_19 false _let_20 false _let_117 false tptp.hskp24 false _let_112 false tptp.ndr1_0 true _let_111)) :args (_let_81 false tptp.hskp7)))) (let ((_let_722 (MACRO_RESOLUTION_TRUST _let_504 _let_721 :args (_let_80 false _let_81)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_507 (MACRO_RESOLUTION_TRUST _let_646 (MACRO_RESOLUTION_TRUST _let_518 _let_721 :args (_let_79 false _let_81)) _let_722 _let_708 :args (_let_108 true _let_78 false _let_80 false _let_618)) _let_722 (MACRO_RESOLUTION_TRUST _let_513 _let_709 :args (_let_110 false _let_143)) (MACRO_RESOLUTION_TRUST _let_505 _let_721 :args (_let_77 false _let_81)) :args (false false _let_108 false _let_80 false _let_110 true _let_76)) :args (_let_106 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.77 )
% 0.22/0.77 % SZS output end Proof for SYN506+1
% 0.22/0.77 % cvc5---1.0.5 exiting
% 0.22/0.77 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------