%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN445+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n020.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 02:03:16 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    : SYN445+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.16  % Command    : do_cvc5 %s %d
% 0.15/0.37  % Computer : n020.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 18:01:00 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/sandbox2/tmp/tmp.UunmDWycKP/cvc5---1.0.5_26496.p...
% 0.22/0.77  ------- get file name : TPTP file name is SYN445+1
% 0.22/0.77  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26496.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 SYN445+1
% 0.22/0.77  % SZS output start Proof for SYN445+1
% 0.22/0.77  (
% 0.22/0.77  (let ((_let_1 (tptp.c3_1 tptp.a349))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.c2_1 tptp.a349))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.c0_1 tptp.a349))) (let ((_let_6 (and tptp.ndr1_0 _let_5 _let_4 _let_2))) (let ((_let_7 (tptp.c3_1 tptp.a346))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.c1_1 tptp.a346))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.c0_1 tptp.a346))) (let ((_let_12 (not _let_11))) (let ((_let_13 (and tptp.ndr1_0 _let_12 _let_10 _let_8))) (let ((_let_14 (tptp.c3_1 tptp.a338))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.c2_1 tptp.a338))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.c1_1 tptp.a338))) (let ((_let_19 (not _let_18))) (let ((_let_20 (and tptp.ndr1_0 _let_19 _let_17 _let_15))) (let ((_let_21 (tptp.c1_1 tptp.a336))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.c0_1 tptp.a336))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.c3_1 tptp.a336))) (let ((_let_26 (and tptp.ndr1_0 _let_25 _let_24 _let_22))) (let ((_let_27 (tptp.c3_1 tptp.a333))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.c2_1 tptp.a333))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.c1_1 tptp.a333))) (let ((_let_32 (and tptp.ndr1_0 _let_31 _let_30 _let_28))) (let ((_let_33 (tptp.c3_1 tptp.a330))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.c2_1 tptp.a330))) (let ((_let_36 (tptp.c1_1 tptp.a330))) (let ((_let_37 (and tptp.ndr1_0 _let_36 _let_35 _let_34))) (let ((_let_38 (tptp.c1_1 tptp.a321))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.c3_1 tptp.a321))) (let ((_let_41 (tptp.c2_1 tptp.a321))) (let ((_let_42 (and tptp.ndr1_0 _let_41 _let_40 _let_39))) (let ((_let_43 (tptp.c2_1 tptp.a320))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.c0_1 tptp.a320))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.c1_1 tptp.a320))) (let ((_let_48 (and tptp.ndr1_0 _let_47 _let_46 _let_44))) (let ((_let_49 (tptp.c2_1 tptp.a310))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.c0_1 tptp.a310))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.c3_1 tptp.a310))) (let ((_let_54 (and tptp.ndr1_0 _let_53 _let_52 _let_50))) (let ((_let_55 (tptp.c2_1 tptp.a309))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.c3_1 tptp.a309))) (let ((_let_58 (tptp.c1_1 tptp.a309))) (let ((_let_59 (and tptp.ndr1_0 _let_58 _let_57 _let_56))) (let ((_let_60 (tptp.c0_1 tptp.a308))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.c3_1 tptp.a308))) (let ((_let_63 (tptp.c1_1 tptp.a308))) (let ((_let_64 (and tptp.ndr1_0 _let_63 _let_62 _let_61))) (let ((_let_65 (tptp.c1_1 tptp.a305))) (let ((_let_66 (not _let_65))) (let ((_let_67 (tptp.c0_1 tptp.a305))) (let ((_let_68 (not _let_67))) (let ((_let_69 (tptp.c2_1 tptp.a305))) (let ((_let_70 (and tptp.ndr1_0 _let_69 _let_68 _let_66))) (let ((_let_71 (and tptp.ndr1_0 (tptp.c0_1 tptp.a303) (tptp.c1_1 tptp.a303) (not (tptp.c2_1 tptp.a303))))) (let ((_let_72 (tptp.c3_1 tptp.a301))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.c1_1 tptp.a301))) (let ((_let_75 (not _let_74))) (let ((_let_76 (tptp.c2_1 tptp.a301))) (let ((_let_77 (and tptp.ndr1_0 _let_76 _let_75 _let_73))) (let ((_let_78 (tptp.c3_1 tptp.a297))) (let ((_let_79 (not _let_78))) (let ((_let_80 (tptp.c0_1 tptp.a297))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.c1_1 tptp.a297))) (let ((_let_83 (and tptp.ndr1_0 _let_82 _let_81 _let_79))) (let ((_let_84 (tptp.c1_1 tptp.a295))) (let ((_let_85 (not _let_84))) (let ((_let_86 (tptp.c2_1 tptp.a295))) (let ((_let_87 (tptp.c0_1 tptp.a295))) (let ((_let_88 (and tptp.ndr1_0 _let_87 _let_86 _let_85))) (let ((_let_89 (tptp.c3_1 tptp.a294))) (let ((_let_90 (not _let_89))) (let ((_let_91 (tptp.c2_1 tptp.a294))) (let ((_let_92 (not _let_91))) (let ((_let_93 (tptp.c0_1 tptp.a294))) (let ((_let_94 (not _let_93))) (let ((_let_95 (and tptp.ndr1_0 _let_94 _let_92 _let_90))) (let ((_let_96 (not (not (and (or (not tptp.hskp0) _let_95) (or (not tptp.hskp1) _let_88) (or (not tptp.hskp2) _let_83) (or (not tptp.hskp3) (and tptp.ndr1_0 (tptp.c0_1 tptp.a299) (tptp.c3_1 tptp.a299) (not (tptp.c2_1 tptp.a299)))) (or (not tptp.hskp4) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a300)) (not (tptp.c1_1 tptp.a300)) (not (tptp.c2_1 tptp.a300)))) (or (not tptp.hskp5) _let_77) (or (not tptp.hskp6) (and tptp.ndr1_0 (tptp.c0_1 tptp.a302) (not (tptp.c1_1 tptp.a302)) (not (tptp.c2_1 tptp.a302)))) (or (not tptp.hskp7) _let_71) (or (not tptp.hskp8) _let_70) (or (not tptp.hskp9) (and tptp.ndr1_0 (tptp.c0_1 tptp.a307) (not (tptp.c1_1 tptp.a307)) (not (tptp.c3_1 tptp.a307)))) (or (not tptp.hskp10) _let_64) (or (not tptp.hskp11) _let_59) (or (not tptp.hskp12) _let_54) (or (not tptp.hskp13) (and tptp.ndr1_0 (tptp.c0_1 tptp.a313) (tptp.c3_1 tptp.a313) (not (tptp.c1_1 tptp.a313)))) (or (not tptp.hskp14) (and tptp.ndr1_0 (tptp.c1_1 tptp.a315) (tptp.c2_1 tptp.a315) (not (tptp.c0_1 tptp.a315)))) (or (not tptp.hskp15) _let_48) (or (not tptp.hskp16) _let_42) (or (not tptp.hskp17) (and tptp.ndr1_0 (tptp.c0_1 tptp.a323) (tptp.c2_1 tptp.a323) (not (tptp.c3_1 tptp.a323)))) (or (not tptp.hskp18) (and tptp.ndr1_0 (tptp.c2_1 tptp.a329) (not (tptp.c0_1 tptp.a329)) (not (tptp.c3_1 tptp.a329)))) (or (not tptp.hskp19) _let_37) (or (not tptp.hskp20) _let_32) (or (not tptp.hskp21) _let_26) (or (not tptp.hskp22) _let_20) (or (not tptp.hskp23) (and tptp.ndr1_0 (tptp.c2_1 tptp.a341) (tptp.c3_1 tptp.a341) (not (tptp.c0_1 tptp.a341)))) (or (not tptp.hskp24) (and tptp.ndr1_0 (tptp.c3_1 tptp.a342) (not (tptp.c1_1 tptp.a342)) (not (tptp.c2_1 tptp.a342)))) (or (not tptp.hskp25) _let_13) (or (not tptp.hskp26) _let_6) (or (not tptp.hskp27) (and tptp.ndr1_0 (tptp.c0_1 tptp.a334) (tptp.c2_1 tptp.a334) (tptp.c3_1 tptp.a334))) (or (not tptp.hskp28) (and tptp.ndr1_0 (tptp.c1_1 tptp.a353) (tptp.c2_1 tptp.a353) (tptp.c3_1 tptp.a353))) (or (not tptp.hskp29) (and tptp.ndr1_0 (tptp.c0_1 tptp.a354) (tptp.c1_1 tptp.a354) (tptp.c2_1 tptp.a354))) (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) (tptp.c3_1 V)))) (forall ((W $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 W) (not (tptp.c1_1 W)) (not (tptp.c2_1 W)))))) (or (forall ((X $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X) (tptp.c1_1 X) (tptp.c2_1 X)))) (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 Y) (tptp.c2_1 Y) (tptp.c3_1 Y)))) (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 Z) (not (tptp.c1_1 Z)) (not (tptp.c3_1 Z)))))) (or (forall ((X1 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X1) (tptp.c1_1 X1) (tptp.c2_1 X1)))) (forall ((X2 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X2) (not (tptp.c0_1 X2)) (not (tptp.c2_1 X2))))) (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X3)) (not (tptp.c1_1 X3)) (not (tptp.c3_1 X3)))))) (or (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X4) (tptp.c1_1 X4) (tptp.c2_1 X4)))) (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X5) (not (tptp.c0_1 X5)) (not (tptp.c1_1 X5))))) tptp.hskp0) (or (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X6) (tptp.c1_1 X6) (tptp.c3_1 X6)))) (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X7) (tptp.c2_1 X7) (tptp.c3_1 X7)))) (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X8) (not (tptp.c2_1 X8)) (not (tptp.c3_1 X8)))))) (or (forall ((X9 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X9) (tptp.c1_1 X9) (tptp.c3_1 X9)))) (forall ((X10 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X10) (tptp.c2_1 X10) (not (tptp.c1_1 X10))))) (forall ((X11 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X11) (not (tptp.c0_1 X11)) (not (tptp.c2_1 X11)))))) (or (forall ((X12 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X12) (tptp.c1_1 X12) (not (tptp.c2_1 X12))))) (forall ((X13 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X13) (tptp.c2_1 X13) (not (tptp.c1_1 X13))))) (forall ((X14 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X14) (not (tptp.c1_1 X14)) (not (tptp.c2_1 X14)))))) (or (forall ((X15 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X15) (tptp.c1_1 X15) (not (tptp.c2_1 X15))))) (forall ((X16 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X16) (not (tptp.c2_1 X16)) (not (tptp.c3_1 X16))))) tptp.hskp1) (or (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X17) (tptp.c1_1 X17) (not (tptp.c3_1 X17))))) (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X18) (not (tptp.c1_1 X18)) (not (tptp.c3_1 X18))))) tptp.hskp0) (or (forall ((X19 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X19) (tptp.c1_1 X19) (not (tptp.c3_1 X19))))) tptp.hskp2 tptp.hskp0) (or (forall ((X20 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X20) (tptp.c2_1 X20) (tptp.c3_1 X20)))) (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.c1_1 X22) (not (tptp.c2_1 X22)) (not (tptp.c3_1 X22)))))) (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.c0_1 X24) (tptp.c3_1 X24) (not (tptp.c1_1 X24))))) (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X25) (not (tptp.c1_1 X25)) (not (tptp.c3_1 X25)))))) (or (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X26) (tptp.c2_1 X26) (not (tptp.c1_1 X26))))) (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X27) (tptp.c3_1 X27) (not (tptp.c1_1 X27))))) tptp.hskp3) (or (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X28) (tptp.c2_1 X28) (not (tptp.c1_1 X28))))) (forall ((X29 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X29) (not (tptp.c0_1 X29)) (not (tptp.c2_1 X29))))) tptp.hskp4) (or (forall ((X30 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X30) (tptp.c2_1 X30) (not (tptp.c1_1 X30))))) (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X31) (not (tptp.c0_1 X31)) (not (tptp.c3_1 X31))))) tptp.hskp5) (or (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X32) (tptp.c2_1 X32) (not (tptp.c1_1 X32))))) (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X33) (not (tptp.c0_1 X33)) (not (tptp.c1_1 X33))))) tptp.hskp6) (or (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X34) (tptp.c2_1 X34) (not (tptp.c1_1 X34))))) tptp.hskp7 tptp.hskp4) (or (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X35) (tptp.c2_1 X35) (not (tptp.c1_1 X35))))) tptp.hskp8 tptp.hskp5) (or (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X36) (tptp.c2_1 X36) (not (tptp.c3_1 X36))))) (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X37) (not (tptp.c0_1 X37)) (not (tptp.c2_1 X37))))) tptp.hskp9) (or (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X38) (tptp.c2_1 X38) (not (tptp.c3_1 X38))))) tptp.hskp10 tptp.hskp11) (or (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X39) (tptp.c3_1 X39) (not (tptp.c1_1 X39))))) (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X40) (not (tptp.c1_1 X40)) (not (tptp.c3_1 X40))))) tptp.hskp12) (or (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X41) (tptp.c3_1 X41) (not (tptp.c2_1 X41))))) (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X42) (not (tptp.c1_1 X42)) (not (tptp.c2_1 X42))))) tptp.hskp8) (or (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X43) (not (tptp.c1_1 X43)) (not (tptp.c2_1 X43))))) (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X44) (tptp.c3_1 X44) (not (tptp.c0_1 X44))))) tptp.hskp12) (or (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X45) (not (tptp.c1_1 X45)) (not (tptp.c2_1 X45))))) (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X46) (not (tptp.c0_1 X46)) (not (tptp.c1_1 X46))))) tptp.hskp13) (or (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X47) (not (tptp.c2_1 X47)) (not (tptp.c3_1 X47))))) (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X48) (tptp.c3_1 X48) (not (tptp.c1_1 X48))))) tptp.hskp3) (or (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X49) (not (tptp.c2_1 X49)) (not (tptp.c3_1 X49))))) tptp.hskp14 tptp.hskp0) (or (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X50) (tptp.c2_1 X50) (not (tptp.c0_1 X50))))) (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X51) (not (tptp.c1_1 X51)) (not (tptp.c3_1 X51))))) tptp.hskp14) (or (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X52) (tptp.c2_1 X52) (not (tptp.c3_1 X52))))) (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X53) (not (tptp.c0_1 X53)) (not (tptp.c1_1 X53))))) tptp.hskp7) (or (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X54) (tptp.c2_1 X54) (not (tptp.c3_1 X54))))) tptp.hskp6 tptp.hskp15) (or (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X55) (tptp.c2_1 X55) (not (tptp.c3_1 X55))))) tptp.hskp16) (or (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X56) (tptp.c3_1 X56) (not (tptp.c0_1 X56))))) (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X57) (tptp.c3_1 X57) (not (tptp.c2_1 X57))))) tptp.hskp13) (or (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X58) (tptp.c3_1 X58) (not (tptp.c0_1 X58))))) (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X59) (tptp.c3_1 X59) (not (tptp.c1_1 X59))))) tptp.hskp17) (or (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X60) (tptp.c3_1 X60) (not (tptp.c2_1 X60))))) (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X61) (tptp.c3_1 X61) (not (tptp.c1_1 X61))))) tptp.hskp5) (or (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X62) (tptp.c3_1 X62) (not (tptp.c2_1 X62))))) tptp.hskp11 tptp.hskp16) (or (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X63) (not (tptp.c0_1 X63)) (not (tptp.c2_1 X63))))) (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X64) (not (tptp.c0_1 X64)) (not (tptp.c3_1 X64))))) tptp.hskp4) (or (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X65) (not (tptp.c0_1 X65)) (not (tptp.c2_1 X65))))) tptp.hskp17 tptp.hskp18) (or (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X66) (not (tptp.c0_1 X66)) (not (tptp.c2_1 X66))))) tptp.hskp19 tptp.hskp12) (or (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X67) (not (tptp.c0_1 X67)) (not (tptp.c2_1 X67))))) tptp.hskp11 tptp.hskp20) (or (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X68) (not (tptp.c2_1 X68)) (not (tptp.c3_1 X68))))) tptp.hskp27 tptp.hskp3) (or (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X69) (tptp.c3_1 X69) (not (tptp.c0_1 X69))))) tptp.hskp21) (or (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X70) (tptp.c3_1 X70) (not (tptp.c1_1 X70))))) (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X71) (not (tptp.c1_1 X71)) (not (tptp.c3_1 X71))))) (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X72)) (not (tptp.c1_1 X72)) (not (tptp.c3_1 X72)))))) (or (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X73) (tptp.c3_1 X73) (not (tptp.c1_1 X73))))) (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X74)) (not (tptp.c1_1 X74)) (not (tptp.c3_1 X74))))) tptp.hskp17) (or (forall ((X75 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X75) (tptp.c3_1 X75) (not (tptp.c1_1 X75))))) tptp.hskp22) (or (forall ((X76 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X76) (not (tptp.c1_1 X76)) (not (tptp.c3_1 X76))))) (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X77)) (not (tptp.c2_1 X77)) (not (tptp.c3_1 X77)))))) (or (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X78) (not (tptp.c0_1 X78)) (not (tptp.c1_1 X78))))) tptp.hskp17 tptp.hskp4) (or (forall ((X79 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X79) (not (tptp.c0_1 X79)) (not (tptp.c1_1 X79))))) tptp.hskp23 tptp.hskp24) (or (forall ((X80 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X80) (not (tptp.c0_1 X80)) (not (tptp.c2_1 X80))))) (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X81)) (not (tptp.c2_1 X81)) (not (tptp.c3_1 X81))))) tptp.hskp11) (or (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X82) (not (tptp.c1_1 X82)) (not (tptp.c2_1 X82))))) (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X83)) (not (tptp.c2_1 X83)) (not (tptp.c3_1 X83))))) tptp.hskp4) (or (forall ((X84 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X84) (not (tptp.c1_1 X84)) (not (tptp.c2_1 X84))))) tptp.hskp15 tptp.hskp25) (or (forall ((X85 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X85)) (not (tptp.c1_1 X85)) (not (tptp.c2_1 X85))))) tptp.hskp6 tptp.hskp8) (or (forall ((X86 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X86)) (not (tptp.c1_1 X86)) (not (tptp.c2_1 X86))))) tptp.hskp26 tptp.hskp23) (or (forall ((X87 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X87)) (not (tptp.c1_1 X87)) (not (tptp.c3_1 X87))))) tptp.hskp17 tptp.hskp21) (or (forall ((X88 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X88)) (not (tptp.c2_1 X88)) (not (tptp.c3_1 X88))))) tptp.hskp28) (or tptp.hskp29 tptp.hskp27 tptp.hskp10) (or tptp.hskp7 tptp.hskp1 tptp.hskp10) (or tptp.hskp17 tptp.hskp5 tptp.hskp24) (or tptp.hskp6 tptp.hskp15 tptp.hskp23) (or tptp.hskp26 tptp.hskp11 tptp.hskp12) (or tptp.hskp26 tptp.hskp16) (or tptp.hskp20 tptp.hskp12 tptp.hskp25)))))) (let ((_let_97 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_98 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_97 _let_99 (not (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))))) (let ((_let_101 (forall ((X25 $$unsorted)) (or (tptp.c0_1 X25) (not (tptp.c1_1 X25)) (not (tptp.c3_1 X25)))))) (let ((_let_102 (not _let_100))) (let ((_let_103 (not _let_62))) (let ((_let_104 (not _let_63))) (let ((_let_105 (or _let_60 _let_104 _let_103))) (let ((_let_106 (not _let_101))) (let ((_let_107 (not _let_105))) (let ((_let_108 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_109 (or _let_93 _let_91 _let_89))) (let ((_let_110 (not _let_57))) (let ((_let_111 (not _let_58))) (let ((_let_112 (or _let_55 _let_111 _let_110))) (let ((_let_113 (forall ((Z $$unsorted)) (or (tptp.c2_1 Z) (not (tptp.c1_1 Z)) (not (tptp.c3_1 Z)))))) (let ((_let_114 (forall ((X18 $$unsorted)) (or (tptp.c2_1 X18) (not (tptp.c1_1 X18)) (not (tptp.c3_1 X18)))))) (let ((_let_115 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_116 (not _let_115))) (let ((_let_117 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_118 (not _let_117))) (let ((_let_119 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_120 (or _let_119 _let_118 _let_116))) (let ((_let_121 (forall ((X17 $$unsorted)) (or (tptp.c0_1 X17) (tptp.c1_1 X17) (not (tptp.c3_1 X17)))))) (let ((_let_122 (forall ((X16 $$unsorted)) (or (tptp.c1_1 X16) (not (tptp.c2_1 X16)) (not (tptp.c3_1 X16)))))) (let ((_let_123 (not _let_25))) (let ((_let_124 (or _let_23 _let_21 _let_123))) (let ((_let_125 (not _let_40))) (let ((_let_126 (not _let_41))) (let ((_let_127 (or _let_38 _let_126 _let_125))) (let ((_let_128 (forall ((X69 $$unsorted)) (or (tptp.c2_1 X69) (tptp.c3_1 X69) (not (tptp.c0_1 X69)))))) (let ((_let_129 (forall ((X44 $$unsorted)) (or (tptp.c2_1 X44) (tptp.c3_1 X44) (not (tptp.c0_1 X44)))))) (let ((_let_130 (not _let_5))) (let ((_let_131 (or _let_3 _let_1 _let_130))) (let ((_let_132 (forall ((X7 $$unsorted)) (or (tptp.c0_1 X7) (tptp.c2_1 X7) (tptp.c3_1 X7))))) (let ((_let_133 (forall ((X20 $$unsorted)) (or (tptp.c0_1 X20) (tptp.c2_1 X20) (tptp.c3_1 X20))))) (let ((_let_134 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_135 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_136 (or (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31) _let_135 _let_134))) (let ((_let_137 (forall ((Y $$unsorted)) (or (tptp.c1_1 Y) (tptp.c2_1 Y) (tptp.c3_1 Y))))) (let ((_let_138 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_139 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_140 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_141 (or _let_140 _let_139 _let_138))) (let ((_let_142 (forall ((X $$unsorted)) (or (tptp.c0_1 X) (tptp.c1_1 X) (tptp.c2_1 X))))) (let ((_let_143 (forall ((U $$unsorted)) (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U))))) (let ((_let_144 (tptp.c1_1 tptp.a294))) (let ((_let_145 (or _let_93 _let_144 _let_91))) (let ((_let_146 (tptp.c2_1 tptp.a336))) (let ((_let_147 (or _let_23 _let_21 _let_146))) (let ((_let_148 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_149 (or _let_148 _let_140 _let_139))) (let ((_let_150 (not _let_148))) (let ((_let_151 (or _let_139 _let_138 _let_150))) (let ((_let_152 (not _let_146))) (let ((_let_153 (or _let_21 _let_152 _let_123))) (let ((_let_154 (forall ((X22 $$unsorted)) (or (tptp.c1_1 X22) (not (tptp.c2_1 X22)) (not (tptp.c3_1 X22)))))) (let ((_let_155 (forall ((X21 $$unsorted)) (or (tptp.c0_1 X21) (tptp.c2_1 X21) (not (tptp.c1_1 X21)))))) (let ((_let_156 (forall ((X10 $$unsorted)) (or (tptp.c0_1 X10) (tptp.c2_1 X10) (not (tptp.c1_1 X10)))))) (let ((_let_157 (not _let_144))) (let ((_let_158 (or _let_93 _let_91 _let_157))) (let ((_let_159 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_108 (= V X20)))))) (let ((_let_160 (or))) (let ((_let_161 (not _let_108))) (let ((_let_162 (_let_161))) (let ((_let_163 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_162)) :args _let_162)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_161) _let_108))) (REFL :args ((not _let_136))) :args _let_160)))) (let ((_let_164 (CNF_OR_NEG :args (_let_136 1)))) (let ((_let_165 (CNF_OR_NEG :args (_let_136 2)))) (let ((_let_166 (or _let_18 _let_16 _let_14))) (let ((_let_167 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_168 (or _let_167 _let_135 _let_134))) (let ((_let_169 (not _let_167))) (let ((_let_170 (or _let_135 _let_134 _let_169))) (let ((_let_171 (forall ((X75 $$unsorted)) (or (tptp.c2_1 X75) (tptp.c3_1 X75) (not (tptp.c1_1 X75)))))) (let ((_let_172 (forall ((X48 $$unsorted)) (or (tptp.c2_1 X48) (tptp.c3_1 X48) (not (tptp.c1_1 X48)))))) (let ((_let_173 (not _let_137))) (let ((_let_174 (_let_137))) (let ((_let_175 ((not (= (tptp.c1_1 Y) true))))) (let ((_let_176 (ASSUME :args _let_174))) (let ((_let_177 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_176 :args (tptp.a338 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_174)))) (let ((_let_178 (not _let_166))) (let ((_let_179 (not _let_20))) (let ((_let_180 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_166)) :args ((or _let_18 _let_16 _let_14 _let_178))) (REORDERING (CNF_AND_POS :args (_let_20 3)) :args ((or _let_15 _let_179))) (REORDERING (CNF_AND_POS :args (_let_20 2)) :args ((or _let_17 _let_179))) (REORDERING (CNF_AND_POS :args (_let_20 1)) :args ((or _let_19 _let_179))) :args ((or _let_179 _let_178) true _let_14 true _let_16 true _let_18)))) (let ((_let_181 (EQ_RESOLVE (ASSUME :args (_let_96)) (MACRO_SR_EQ_INTRO :args (_let_96 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_182 (AND_ELIM _let_181 :args (22)))) (let ((_let_183 (not _let_88))) (let ((_let_184 (not _let_64))) (let ((_let_185 (AND_ELIM _let_181 :args (1)))) (let ((_let_186 (AND_ELIM _let_181 :args (10)))) (let ((_let_187 (MACRO_RESOLUTION_TRUST (REORDERING (AND_ELIM _let_181 :args (84)) :args ((or tptp.hskp1 tptp.hskp7 tptp.hskp10))) _let_186 (AND_ELIM _let_181 :args (7)) _let_185 (REORDERING (CNF_AND_POS :args (_let_64 0)) :args ((or tptp.ndr1_0 _let_184))) (REORDERING (CNF_AND_POS :args (_let_71 0)) :args ((or tptp.ndr1_0 (not _let_71)))) (REORDERING (CNF_AND_POS :args (_let_88 0)) :args ((or tptp.ndr1_0 _let_183))) :args (tptp.ndr1_0 true tptp.hskp10 true tptp.hskp7 true tptp.hskp1 true _let_64 true _let_71 true _let_88)))) (let ((_let_188 (AND_ELIM _let_181 :args (72)))) (let ((_let_189 (_let_172))) (let ((_let_190 ((not (= (tptp.c2_1 X48) true))))) (let ((_let_191 (ASSUME :args _let_189))) (let ((_let_192 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_172 (= X48 X75)))))) (let ((_let_193 (MACRO_RESOLUTION_TRUST _let_192 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_191 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_190)) :args _let_189)) _let_188 _let_187 (REORDERING (CNF_OR_POS :args (_let_170)) :args ((or _let_135 _let_134 _let_169 (not _let_170)))) _let_182 (REORDERING (CNF_OR_POS :args (_let_168)) :args ((or _let_135 _let_134 _let_167 (not _let_168)))) _let_180 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_176 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_174)) _let_177 :args ((or _let_173 _let_135 _let_134) true _let_172 false _let_171 false tptp.ndr1_0 true _let_170 true tptp.hskp22 false _let_167 true _let_20 false _let_168 false _let_166)))) (let ((_let_194 (_let_173))) (let ((_let_195 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_194)) :args _let_194)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_173) _let_137))) (REFL :args ((not _let_141))) :args _let_160)))) (let ((_let_196 (forall ((X38 $$unsorted)) (or (tptp.c0_1 X38) (tptp.c2_1 X38) (not (tptp.c3_1 X38)))))) (let ((_let_197 (forall ((X36 $$unsorted)) (or (tptp.c0_1 X36) (tptp.c2_1 X36) (not (tptp.c3_1 X36)))))) (let ((_let_198 (not _let_53))) (let ((_let_199 (or _let_51 _let_49 _let_198))) (let ((_let_200 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_201 (not _let_200))) (let ((_let_202 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_203 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_204 (or _let_203 _let_202 _let_201))) (let ((_let_205 (forall ((X43 $$unsorted)) (or (tptp.c0_1 X43) (not (tptp.c1_1 X43)) (not (tptp.c2_1 X43)))))) (let ((_let_206 (forall ((W $$unsorted)) (or (tptp.c0_1 W) (not (tptp.c1_1 W)) (not (tptp.c2_1 W)))))) (let ((_let_207 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_208 (not _let_207))) (let ((_let_209 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_210 (not _let_209))) (let ((_let_211 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_212 (or _let_211 _let_210 _let_208))) (let ((_let_213 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_214 (or _let_203 _let_213 _let_201))) (let ((_let_215 (not _let_202))) (let ((_let_216 (or _let_203 _let_213 _let_215))) (let ((_let_217 (or _let_203 _let_215 _let_201))) (let ((_let_218 (forall ((X12 $$unsorted)) (or (tptp.c0_1 X12) (tptp.c1_1 X12) (not (tptp.c2_1 X12)))))) (let ((_let_219 (forall ((X8 $$unsorted)) (or (tptp.c0_1 X8) (not (tptp.c2_1 X8)) (not (tptp.c3_1 X8)))))) (let ((_let_220 (forall ((X15 $$unsorted)) (or (tptp.c0_1 X15) (tptp.c1_1 X15) (not (tptp.c2_1 X15)))))) (let ((_let_221 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_222 (not _let_221))) (let ((_let_223 (or _let_211 _let_208 _let_222))) (let ((_let_224 (forall ((X6 $$unsorted)) (or (tptp.c0_1 X6) (tptp.c1_1 X6) (tptp.c3_1 X6))))) (let ((_let_225 (or _let_209 _let_208 _let_222))) (let ((_let_226 (not _let_47))) (let ((_let_227 (or _let_45 _let_43 _let_226))) (let ((_let_228 (not _let_86))) (let ((_let_229 (not _let_87))) (let ((_let_230 (or _let_84 _let_229 _let_228))) (let ((_let_231 (forall ((X2 $$unsorted)) (or (tptp.c1_1 X2) (not (tptp.c0_1 X2)) (not (tptp.c2_1 X2)))))) (let ((_let_232 (forall ((X66 $$unsorted)) (or (tptp.c1_1 X66) (not (tptp.c0_1 X66)) (not (tptp.c2_1 X66)))))) (let ((_let_233 (not _let_35))) (let ((_let_234 (not _let_36))) (let ((_let_235 (or _let_33 _let_234 _let_233))) (let ((_let_236 (forall ((X14 $$unsorted)) (or (tptp.c3_1 X14) (not (tptp.c1_1 X14)) (not (tptp.c2_1 X14)))))) (let ((_let_237 (or _let_11 _let_9 _let_7))) (let ((_let_238 (AND_ELIM _let_181 :args (49)))) (let ((_let_239 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_197 (= X36 X38)))))) (let ((_let_240 (_let_197))) (let ((_let_241 ((not (= (tptp.c0_1 X36) true))))) (let ((_let_242 (ASSUME :args _let_240))) (let ((_let_243 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_242 :args (tptp.a310 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_241)) :args _let_240)))) (let ((_let_244 (not _let_199))) (let ((_let_245 (not _let_54))) (let ((_let_246 (REORDERING (CNF_AND_POS :args (_let_54 1)) :args ((or _let_53 _let_245))))) (let ((_let_247 (REORDERING (CNF_AND_POS :args (_let_54 2)) :args ((or _let_52 _let_245))))) (let ((_let_248 (REORDERING (CNF_AND_POS :args (_let_54 3)) :args ((or _let_50 _let_245))))) (let ((_let_249 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_199)) :args ((or _let_51 _let_49 _let_198 _let_244))) _let_248 _let_247 _let_246 :args ((or _let_245 _let_244) true _let_49 true _let_51 false _let_53)))) (let ((_let_250 (AND_ELIM _let_181 :args (12)))) (let ((_let_251 (REORDERING (AND_ELIM _let_181 :args (87)) :args ((or tptp.hskp11 tptp.hskp12 tptp.hskp26))))) (let ((_let_252 (AND_ELIM _let_181 :args (26)))) (let ((_let_253 (not _let_131))) (let ((_let_254 (not _let_6))) (let ((_let_255 (REORDERING (CNF_AND_POS :args (_let_6 1)) :args ((or _let_5 _let_254))))) (let ((_let_256 (REORDERING (CNF_AND_POS :args (_let_6 2)) :args ((or _let_4 _let_254))))) (let ((_let_257 (REORDERING (CNF_AND_POS :args (_let_6 3)) :args ((or _let_2 _let_254))))) (let ((_let_258 (REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_3 _let_1 _let_130 _let_253))))) (let ((_let_259 (MACRO_RESOLUTION_TRUST _let_258 _let_257 _let_256 _let_255 :args ((or _let_254 _let_253) true _let_1 true _let_3 false _let_5)))) (let ((_let_260 (_let_129))) (let ((_let_261 ((not (= (tptp.c2_1 X44) true))))) (let ((_let_262 (ASSUME :args _let_260))) (let ((_let_263 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_262 :args (tptp.a349 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_261)) :args _let_260)))) (let ((_let_264 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_129 (= X44 X69)))))) (let ((_let_265 (AND_ELIM _let_181 :args (52)))) (let ((_let_266 (AND_ELIM _let_181 :args (69)))) (let ((_let_267 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_206 (= W X43)))))) (let ((_let_268 (AND_ELIM _let_181 :args (21)))) (let ((_let_269 (_let_206))) (let ((_let_270 ((not (= (tptp.c0_1 W) true))))) (let ((_let_271 (ASSUME :args _let_269))) (let ((_let_272 (not _let_124))) (let ((_let_273 (not _let_26))) (let ((_let_274 (REORDERING (CNF_AND_POS :args (_let_26 1)) :args ((or _let_25 _let_273))))) (let ((_let_275 (REORDERING (CNF_AND_POS :args (_let_26 2)) :args ((or _let_24 _let_273))))) (let ((_let_276 (REORDERING (CNF_AND_POS :args (_let_26 3)) :args ((or _let_22 _let_273))))) (let ((_let_277 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_124)) :args ((or _let_23 _let_21 _let_123 _let_272))) _let_276 _let_275 _let_274 :args ((or _let_273 _let_272) true _let_21 true _let_23 false _let_25)))) (let ((_let_278 (_let_121))) (let ((_let_279 ((not (= (tptp.c0_1 X17) true))))) (let ((_let_280 (ASSUME :args _let_278))) (let ((_let_281 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_280 :args (tptp.a336 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_279)) :args _let_278)))) (let ((_let_282 (not _let_121))) (let ((_let_283 (_let_282))) (let ((_let_284 (_let_218))) (let ((_let_285 ((not (= (tptp.c0_1 X12) true))))) (let ((_let_286 (ASSUME :args _let_284))) (let ((_let_287 (_let_219))) (let ((_let_288 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_218 (= X12 X15)))))) (let ((_let_289 (not _let_219))) (let ((_let_290 (_let_289))) (let ((_let_291 (REFL :args (_let_223)))) (let ((_let_292 (_let_122))) (let ((_let_293 ((not (= (tptp.c1_1 X16) true))))) (let ((_let_294 (ASSUME :args _let_292))) (let ((_let_295 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_122 (= X16 X22)))))) (let ((_let_296 (AND_ELIM _let_181 :args (37)))) (let ((_let_297 (AND_ELIM _let_181 :args (40)))) (let ((_let_298 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_156 (= X10 X21)))))) (let ((_let_299 (REORDERING (CNF_AND_POS :args (_let_88 1)) :args ((or _let_87 _let_183))))) (let ((_let_300 (REORDERING (CNF_AND_POS :args (_let_88 2)) :args ((or _let_86 _let_183))))) (let ((_let_301 (REORDERING (CNF_AND_POS :args (_let_88 3)) :args ((or _let_85 _let_183))))) (let ((_let_302 (_let_156))) (let ((_let_303 ((not (= (tptp.c0_1 X10) true))))) (let ((_let_304 (ASSUME :args _let_302))) (let ((_let_305 (REORDERING (CNF_OR_POS :args (_let_230)) :args ((or _let_84 _let_229 _let_228 (not _let_230)))))) (let ((_let_306 (not _let_227))) (let ((_let_307 (not _let_48))) (let ((_let_308 (_let_231))) (let ((_let_309 ((not (= (tptp.c1_1 X2) true))))) (let ((_let_310 (ASSUME :args _let_308))) (let ((_let_311 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_310 :args (tptp.a295 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_309)) :args _let_308)))) (let ((_let_312 (not tptp.ndr1_0))) (let ((_let_313 (not _let_37))) (let ((_let_314 (_let_236))) (let ((_let_315 ((not (= (tptp.c1_1 X14) false))))) (let ((_let_316 (ASSUME :args _let_314))) (let ((_let_317 (not _let_13))) (let ((_let_318 (_let_224))) (let ((_let_319 (AND_ELIM _let_181 :args (11)))) (let ((_let_320 (not _let_112))) (let ((_let_321 (not _let_59))) (let ((_let_322 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_55 _let_111 _let_110 _let_320))) (REORDERING (CNF_AND_POS :args (_let_59 3)) :args ((or _let_56 _let_321))) (REORDERING (CNF_AND_POS :args (_let_59 2)) :args ((or _let_57 _let_321))) (REORDERING (CNF_AND_POS :args (_let_59 1)) :args ((or _let_58 _let_321))) :args ((or _let_321 _let_320) true _let_55 false _let_57 false _let_58)))) (let ((_let_323 (_let_113))) (let ((_let_324 ((not (= (tptp.c2_1 Z) true))))) (let ((_let_325 (ASSUME :args _let_323))) (let ((_let_326 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_325 :args (tptp.a309 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_324)) :args _let_323)))) (let ((_let_327 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_113 (= Z X18)))))) (let ((_let_328 (AND_ELIM _let_181 :args (31)))) (let ((_let_329 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_143 (= U X)))))) (let ((_let_330 (_let_143))) (let ((_let_331 ((not (= (tptp.c0_1 U) true))))) (let ((_let_332 (ASSUME :args _let_330))) (let ((_let_333 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_332 :args (tptp.a336 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_331)) :args _let_330)))) (let ((_let_334 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_332 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) true))))) :args _let_330)))) (let ((_let_335 (not _let_151))) (let ((_let_336 (not _let_149))) (let ((_let_337 (CNF_OR_NEG :args (_let_141 0)))) (let ((_let_338 (CNF_OR_NEG :args (_let_141 1)))) (let ((_let_339 (CNF_OR_NEG :args (_let_141 2)))) (let ((_let_340 (REORDERING (CNF_OR_POS :args (_let_149)) :args ((or _let_140 _let_139 _let_148 _let_336))))) (let ((_let_341 (REORDERING (CNF_OR_POS :args (_let_151)) :args ((or _let_139 _let_138 _let_150 _let_335))))) (let ((_let_342 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_262 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_261)) :args _let_260)))) (let ((_let_343 (not _let_147))) (let ((_let_344 (REORDERING (CNF_OR_POS :args (_let_147)) :args ((or _let_23 _let_21 _let_146 _let_343))))) (let ((_let_345 (REORDERING (CNF_OR_POS :args (_let_153)) :args ((or _let_21 _let_123 _let_152 (not _let_153)))))) (let ((_let_346 (AND_ELIM _let_181 :args (38)))) (let ((_let_347 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_294 :args (tptp.a336 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_293)) :args _let_292)))) (let ((_let_348 (AND_ELIM _let_181 :args (0)))) (let ((_let_349 (not _let_95))) (let ((_let_350 (REORDERING (CNF_AND_POS :args (_let_95 1)) :args ((or _let_94 _let_349))))) (let ((_let_351 (REORDERING (CNF_AND_POS :args (_let_95 2)) :args ((or _let_92 _let_349))))) (let ((_let_352 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_304 :args (tptp.a294 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_303)) :args _let_302)) (REORDERING (CNF_OR_POS :args (_let_158)) :args ((or _let_93 _let_91 _let_157 (not _let_158)))) _let_298 (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_93 _let_91 _let_144 (not _let_145)))) _let_297 _let_187 _let_351 _let_350 _let_295 _let_348 _let_347 _let_346 _let_187 _let_345 _let_281 _let_344 _let_277 _let_276 _let_275 _let_274 _let_268 _let_266 _let_187 _let_264 _let_342 (MACRO_RESOLUTION_TRUST _let_341 _let_340 _let_339 _let_338 _let_337 :args ((or _let_141 _let_336 _let_335) false _let_148 true _let_138 true _let_139 true _let_140)) _let_334 _let_333 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_332 :args (tptp.a294 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_331)) :args _let_330)) _let_329 _let_328 _let_187 _let_327 _let_326 _let_322 _let_319 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_318) :args (tptp.a346 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X6) true))))) :args _let_318)) (REORDERING (CNF_OR_POS :args (_let_237)) :args ((or _let_11 _let_9 _let_7 (not _let_237)))) (REORDERING (CNF_AND_POS :args (_let_13 3)) :args ((or _let_8 _let_317))) (REORDERING (CNF_AND_POS :args (_let_13 2)) :args ((or _let_10 _let_317))) (REORDERING (CNF_AND_POS :args (_let_13 1)) :args ((or _let_12 _let_317))) (AND_ELIM _let_181 :args (25)) (AND_ELIM _let_181 :args (78)) _let_187 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_236 (= X14 X84)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_316 :args (tptp.a330 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_315)) :args _let_314)) (REORDERING (CNF_OR_POS :args (_let_235)) :args ((or _let_33 _let_234 _let_233 (not _let_235)))) (REORDERING (CNF_AND_POS :args (_let_37 3)) :args ((or _let_34 _let_313))) (REORDERING (CNF_AND_POS :args (_let_37 2)) :args ((or _let_35 _let_313))) (REORDERING (CNF_AND_POS :args (_let_37 1)) :args ((or _let_36 _let_313))) (AND_ELIM _let_181 :args (19)) (REORDERING (AND_ELIM _let_181 :args (66)) :args ((or tptp.hskp12 tptp.hskp19 _let_312 _let_232))) _let_187 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_231 (= X2 X66)))) (AND_ELIM _let_181 :args (15)) _let_311 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_227)) :args ((or _let_45 _let_43 _let_226 _let_306))) (REORDERING (CNF_AND_POS :args (_let_48 3)) :args ((or _let_44 _let_307))) (REORDERING (CNF_AND_POS :args (_let_48 2)) :args ((or _let_46 _let_307))) (REORDERING (CNF_AND_POS :args (_let_48 1)) :args ((or _let_47 _let_307))) :args ((or _let_307 _let_306) true _let_43 true _let_45 false _let_47)) _let_305 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_304 :args (tptp.a320 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_303)) :args _let_302)) _let_301 _let_300 _let_299 _let_298 _let_185 _let_297 _let_187 _let_296 _let_187 _let_295 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_294 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_293)) :args _let_292)) (REORDERING (CNF_OR_POS :args (_let_225)) :args ((or _let_208 _let_222 _let_209 (not _let_225)))) (REORDERING (CNF_OR_POS :args (_let_212)) :args ((or _let_211 _let_208 _let_210 (not _let_212)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_223 2)) (CONG _let_291 (MACRO_SR_PRED_INTRO :args ((= (not _let_222) _let_221))) :args _let_160)) :args ((or _let_221 _let_223))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_223 1)) (CONG _let_291 (MACRO_SR_PRED_INTRO :args ((= (not _let_208) _let_207))) :args _let_160)) :args ((or _let_207 _let_223))) (CNF_OR_NEG :args (_let_223 0)) (AND_ELIM _let_181 :args (34)) _let_187 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_290)) :args _let_290)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_289) _let_219))) (REFL :args ((not _let_223))) :args _let_160)) _let_288 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_287) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X8) true))))) :args _let_287)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_286 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_285)) :args _let_284)) (REORDERING (CNF_OR_POS :args (_let_217)) :args ((or _let_203 _let_201 _let_215 (not _let_217)))) (REORDERING (CNF_OR_POS :args (_let_216)) :args ((or _let_203 _let_213 _let_215 (not _let_216)))) (REORDERING (CNF_OR_POS :args (_let_204)) :args ((or _let_203 _let_201 _let_202 (not _let_204)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_214 2)) (CONG (REFL :args (_let_214)) (MACRO_SR_PRED_INTRO :args ((= (not _let_201) _let_200))) :args _let_160)) :args ((or _let_200 _let_214))) (CNF_OR_NEG :args (_let_214 1)) (CNF_OR_NEG :args (_let_214 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_283)) :args _let_283)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_282) _let_121))) (REFL :args ((not _let_214))) :args _let_160)) _let_281 _let_277 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_271 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_270)) :args _let_269)) _let_268 _let_267 _let_266 _let_187 _let_265 _let_187 _let_264 _let_263 _let_259 _let_252 _let_251 _let_250 _let_249 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_242 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_241)) :args _let_240)) _let_243 _let_239 _let_238 _let_187 :args ((or tptp.hskp10 tptp.hskp11 _let_132 _let_133) true _let_237 true _let_7 true _let_9 true _let_11 false _let_13 false tptp.hskp25 false tptp.ndr1_0 true (forall ((X84 $$unsorted)) (or (tptp.c3_1 X84) (not (tptp.c1_1 X84)) (not (tptp.c2_1 X84)))) true _let_236 true _let_235 true _let_33 false _let_35 false _let_36 false _let_37 false tptp.hskp19 false tptp.ndr1_0 true _let_232 true tptp.hskp15 true _let_231 true _let_48 true _let_230 false _let_227 true _let_84 false _let_86 false _let_87 false _let_156 false _let_88 false _let_155 false tptp.ndr1_0 false tptp.hskp1 false tptp.ndr1_0 true _let_154 true _let_122 true _let_225 true _let_209 false _let_221 false _let_207 true _let_211 false _let_224 false tptp.ndr1_0 true _let_223 true _let_220 true _let_219 true _let_218 true _let_217 true _let_216 false _let_202 false _let_200 true _let_213 true _let_203 true _let_214 true _let_121 true _let_124 false _let_212 false _let_26 false _let_206 false tptp.hskp21 false tptp.ndr1_0 false _let_205 false tptp.ndr1_0 true _let_128 true _let_129 true _let_131 false _let_6 false tptp.hskp26 true tptp.hskp12 true _let_54 false _let_204 false _let_199 false _let_197 false _let_196 false tptp.ndr1_0)) _let_195 _let_193 _let_165 _let_164 _let_163 _let_159 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_108 (= V X7)))) :args ((or tptp.hskp10 _let_108) true _let_158 false _let_156 false _let_144 false _let_155 false tptp.ndr1_0 true _let_91 true _let_93 true _let_154 false _let_95 true _let_122 false tptp.hskp0 false tptp.ndr1_0 true _let_153 true _let_121 false _let_146 true _let_124 true _let_21 true _let_23 false _let_25 false _let_26 false tptp.hskp21 false tptp.ndr1_0 true _let_128 true _let_129 true _let_151 false _let_149 false _let_147 false _let_145 false _let_143 false _let_142 false tptp.ndr1_0 true _let_114 true _let_113 true _let_112 false _let_59 false tptp.hskp11 true _let_141 true _let_137 true _let_134 true _let_135 true _let_136 true _let_133 true _let_132)))) (let ((_let_353 (_let_108))) (let ((_let_354 ((not (= (tptp.c0_1 V) true))))) (let ((_let_355 (ASSUME :args _let_353))) (let ((_let_356 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_355 :args (tptp.a294 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_354)) :args _let_353)))) (let ((_let_357 (not _let_109))) (let ((_let_358 (REORDERING (CNF_AND_POS :args (_let_95 3)) :args ((or _let_90 _let_349))))) (let ((_let_359 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_93 _let_91 _let_89 _let_357))) _let_358 _let_351 _let_350 :args ((or _let_349 _let_357) true _let_89 true _let_91 true _let_93)))) (let ((_let_360 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_361 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_362 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_363 (or _let_362 _let_361 _let_360))) (let ((_let_364 (not _let_361))) (let ((_let_365 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_366 (not _let_365))) (let ((_let_367 (or _let_362 _let_366 _let_364))) (let ((_let_368 (forall ((X19 $$unsorted)) (or (tptp.c0_1 X19) (tptp.c1_1 X19) (not (tptp.c3_1 X19)))))) (let ((_let_369 (not _let_82))) (let ((_let_370 (or _let_80 _let_78 _let_369))) (let ((_let_371 (forall ((X24 $$unsorted)) (or (tptp.c0_1 X24) (tptp.c3_1 X24) (not (tptp.c1_1 X24)))))) (let ((_let_372 (or _let_362 _let_360 _let_366))) (let ((_let_373 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_121 (= X17 X19)))))) (let ((_let_374 (REORDERING (AND_ELIM _let_181 :args (39)) :args ((or tptp.hskp0 tptp.hskp2 _let_312 _let_368))))) (let ((_let_375 (AND_ELIM _let_181 :args (2)))) (let ((_let_376 (not _let_83))) (let ((_let_377 (REORDERING (CNF_AND_POS :args (_let_83 1)) :args ((or _let_82 _let_376))))) (let ((_let_378 (REORDERING (CNF_AND_POS :args (_let_83 2)) :args ((or _let_81 _let_376))))) (let ((_let_379 (REORDERING (CNF_AND_POS :args (_let_83 3)) :args ((or _let_79 _let_376))))) (let ((_let_380 (_let_371))) (let ((_let_381 (not _let_371))) (let ((_let_382 (_let_381))) (let ((_let_383 (forall ((X76 $$unsorted)) (or (tptp.c2_1 X76) (not (tptp.c1_1 X76)) (not (tptp.c3_1 X76)))))) (let ((_let_384 (forall ((X77 $$unsorted)) (or (not (tptp.c0_1 X77)) (not (tptp.c2_1 X77)) (not (tptp.c3_1 X77)))))) (let ((_let_385 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_386 (or _let_385 _let_119 _let_116))) (let ((_let_387 (not _let_385))) (let ((_let_388 (or _let_387 _let_118 _let_116))) (let ((_let_389 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_113 (= Z X76)))))) (let ((_let_390 (AND_ELIM _let_181 :args (73)))) (let ((_let_391 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_280 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_279)) :args _let_278)))) (let ((_let_392 (_let_384))) (let ((_let_393 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_392) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X77) false))))) :args _let_392)))) (let ((_let_394 (not _let_386))) (let ((_let_395 (not _let_388))) (let ((_let_396 (REFL :args (_let_120)))) (let ((_let_397 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_386)) :args ((or _let_119 _let_116 _let_385 _let_394))) (REORDERING (CNF_OR_POS :args (_let_388)) :args ((or _let_118 _let_116 _let_387 _let_395))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_120 2)) (CONG _let_396 (MACRO_SR_PRED_INTRO :args ((= (not _let_116) _let_115))) :args _let_160)) :args ((or _let_115 _let_120))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_120 1)) (CONG _let_396 (MACRO_SR_PRED_INTRO :args ((= (not _let_118) _let_117))) :args _let_160)) :args ((or _let_117 _let_120))) (CNF_OR_NEG :args (_let_120 0)) :args ((or _let_120 _let_395 _let_394) true _let_385 false _let_115 false _let_117 true _let_119)))) (let ((_let_398 (not _let_122))) (let ((_let_399 (_let_398))) (let ((_let_400 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_399)) :args _let_399)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_398) _let_122))) (REFL :args ((not _let_120))) :args _let_160)))) (let ((_let_401 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_294 :args (tptp.a321 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_293)) :args _let_292)))) (let ((_let_402 (not _let_127))) (let ((_let_403 (not _let_42))) (let ((_let_404 (REORDERING (CNF_AND_POS :args (_let_42 1)) :args ((or _let_41 _let_403))))) (let ((_let_405 (REORDERING (CNF_AND_POS :args (_let_42 3)) :args ((or _let_39 _let_403))))) (let ((_let_406 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_38 _let_126 _let_125 _let_402))) _let_405 (REORDERING (CNF_AND_POS :args (_let_42 2)) :args ((or _let_40 _let_403))) _let_404 :args ((or _let_403 _let_402) true _let_38 false _let_40 false _let_41)))) (let ((_let_407 (AND_ELIM _let_181 :args (16)))) (let ((_let_408 (REORDERING (AND_ELIM _let_181 :args (88)) :args ((or tptp.hskp16 tptp.hskp26))))) (let ((_let_409 (_let_101))) (let ((_let_410 (_let_106))) (let ((_let_411 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_410)) :args _let_410)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_106) _let_101))) (REFL :args (_let_102)) :args _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_409) :args (tptp.a308 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X25) true))))) :args _let_409)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_60 _let_104 _let_103 _let_107))) (REORDERING (CNF_AND_POS :args (_let_64 3)) :args ((or _let_61 _let_184))) (REORDERING (CNF_AND_POS :args (_let_64 2)) :args ((or _let_62 _let_184))) (REORDERING (CNF_AND_POS :args (_let_64 1)) :args ((or _let_63 _let_184))) :args ((or _let_184 _let_107) true _let_60 false _let_62 false _let_63)) (MACRO_RESOLUTION_TRUST _let_186 (MACRO_RESOLUTION_TRUST _let_259 _let_263 _let_252 _let_264 _let_408 _let_266 _let_187 _let_407 _let_268 _let_406 _let_277 _let_401 _let_281 _let_400 _let_346 _let_187 (MACRO_RESOLUTION_TRUST _let_397 _let_393 _let_391 _let_390 _let_187 _let_346 _let_187 _let_389 _let_327 :args ((or tptp.hskp0 _let_113 _let_120) false _let_388 false _let_386 false _let_384 false tptp.ndr1_0 false _let_121 false tptp.ndr1_0 true _let_383 true _let_114)) _let_327 _let_326 _let_322 _let_319 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_367)) :args ((or _let_362 _let_366 _let_364 (not _let_367)))) (REORDERING (CNF_OR_POS :args (_let_363)) :args ((or _let_362 _let_360 _let_361 (not _let_363)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_372 2)) (CONG (REFL :args (_let_372)) (MACRO_SR_PRED_INTRO :args ((= (not _let_366) _let_365))) :args _let_160)) :args ((or _let_365 _let_372))) (CNF_OR_NEG :args (_let_372 1)) (CNF_OR_NEG :args (_let_372 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_382)) :args _let_382)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_381) _let_371))) (REFL :args ((not _let_372))) :args _let_160)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_380) :args (tptp.a297 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X24) true))))) :args _let_380)) (REORDERING (CNF_OR_POS :args (_let_370)) :args ((or _let_80 _let_78 _let_369 (not _let_370)))) _let_379 _let_378 _let_377 _let_375 _let_374 _let_187 _let_373 _let_281 _let_277 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_271 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_270)) :args _let_269)) _let_268 _let_267 _let_266 _let_187 _let_265 _let_187 _let_264 _let_263 _let_259 _let_252 _let_251 _let_250 _let_249 _let_243 _let_239 _let_238 _let_187 _let_348 _let_359 _let_356 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_355 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_354)) :args _let_353)) _let_352 :args ((or tptp.hskp10 tptp.hskp11) false _let_361 false _let_365 true _let_360 true _let_362 true _let_372 true _let_371 true _let_370 true _let_78 true _let_80 false _let_82 false _let_83 false tptp.hskp2 false tptp.ndr1_0 true _let_368 true _let_121 true _let_124 false _let_367 false _let_26 false _let_206 false tptp.hskp21 false tptp.ndr1_0 false _let_205 false tptp.ndr1_0 true _let_128 true _let_129 true _let_131 false _let_6 false tptp.hskp26 true tptp.hskp12 true _let_54 false _let_199 false _let_197 false _let_196 false tptp.ndr1_0 true tptp.hskp0 true _let_95 false _let_109 false _let_363 false _let_108)) _let_348 _let_359 _let_356 _let_352 :args (tptp.hskp10 false _let_131 false _let_6 false _let_129 false tptp.hskp26 false _let_128 false tptp.ndr1_0 true tptp.hskp16 true tptp.hskp21 true _let_42 true _let_26 false _let_127 false _let_124 false _let_122 false _let_121 false tptp.ndr1_0 false _let_120 true _let_114 true _let_113 true _let_112 false _let_59 false tptp.hskp11 true tptp.hskp0 true _let_95 false _let_109 false _let_108)) :args (_let_64 false tptp.hskp10)) :args (_let_107 false _let_64)) :args (_let_106 true _let_105)) :args (_let_102 true _let_101)))) (let ((_let_412 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_413 (or _let_97 _let_412 _let_99))) (let ((_let_414 (tptp.c1_1 tptp.a310))) (let ((_let_415 (not _let_414))) (let ((_let_416 (or _let_51 _let_49 _let_415))) (let ((_let_417 (not _let_412))) (let ((_let_418 (or _let_97 _let_99 _let_417))) (let ((_let_419 (tptp.c0_1 tptp.a333))) (let ((_let_420 (or _let_419 _let_29 _let_27))) (let ((_let_421 (not _let_419))) (let ((_let_422 (or _let_29 _let_27 _let_421))) (let ((_let_423 (forall ((X67 $$unsorted)) (or (tptp.c1_1 X67) (not (tptp.c0_1 X67)) (not (tptp.c2_1 X67)))))) (let ((_let_424 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_425 (not _let_424))) (let ((_let_426 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_427 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_428 (or _let_427 _let_426 _let_425))) (let ((_let_429 (forall ((X55 $$unsorted)) (or (tptp.c1_1 X55) (tptp.c2_1 X55) (not (tptp.c3_1 X55)))))) (let ((_let_430 (forall ((X52 $$unsorted)) (or (tptp.c1_1 X52) (tptp.c2_1 X52) (not (tptp.c3_1 X52)))))) (let ((_let_431 (or _let_414 _let_49 _let_198))) (let ((_let_432 (or _let_21 _let_146 _let_123))) (let ((_let_433 (not _let_156))) (let ((_let_434 (_let_433))) (let ((_let_435 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_436 (or _let_427 _let_426 _let_435))) (let ((_let_437 (not _let_435))) (let ((_let_438 (or _let_426 _let_425 _let_437))) (let ((_let_439 (AND_ELIM _let_181 :args (59)))) (let ((_let_440 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_430 (= X52 X55)))))) (let ((_let_441 (_let_430))) (let ((_let_442 ((not (= (tptp.c1_1 X52) true))))) (let ((_let_443 (ASSUME :args _let_441))) (let ((_let_444 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_443 :args (tptp.a310 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_442)) :args _let_441)))) (let ((_let_445 (not _let_431))) (let ((_let_446 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_304 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_303)) :args _let_302)))) (let ((_let_447 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_304 :args (tptp.a310 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_303)) :args _let_302)))) (let ((_let_448 (REORDERING (CNF_OR_POS :args (_let_413)) :args ((or _let_97 _let_99 _let_412 (not _let_413)))))) (let ((_let_449 (REORDERING (CNF_OR_POS :args (_let_418)) :args ((or _let_97 _let_99 _let_417 (not _let_418)))))) (let ((_let_450 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_271 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_270)) :args _let_269)))) (let ((_let_451 (REORDERING (CNF_OR_POS :args (_let_431)) :args ((or _let_49 _let_198 _let_414 _let_445))))) (let ((_let_452 (not _let_416))) (let ((_let_453 (REORDERING (CNF_OR_POS :args (_let_416)) :args ((or _let_51 _let_49 _let_415 _let_452))))) (let ((_let_454 (MACRO_RESOLUTION_TRUST _let_453 _let_451 _let_248 _let_247 _let_246 _let_250 _let_265 _let_187 _let_267 _let_450 _let_449 _let_448 _let_447 _let_446 _let_298 _let_297 _let_187 _let_295 _let_347 _let_345 _let_344 _let_276 _let_275 _let_274 _let_268 _let_266 _let_187 _let_264 :args ((or _let_133 _let_129 _let_343 _let_97 _let_99 _let_445) false _let_414 true _let_49 true _let_51 false _let_53 false _let_54 false tptp.hskp12 false tptp.ndr1_0 true _let_205 true _let_206 true _let_418 false _let_412 false _let_416 false _let_413 false _let_156 false _let_155 false tptp.ndr1_0 true _let_154 true _let_122 true _let_153 false _let_146 true _let_21 true _let_23 false _let_25 false _let_26 false tptp.hskp21 false tptp.ndr1_0 true _let_128)))) (let ((_let_455 (MACRO_RESOLUTION_TRUST _let_274 (REORDERING (CNF_OR_POS :args (_let_432)) :args ((or _let_21 _let_123 _let_146 (not _let_432)))) _let_268 (REORDERING (CNF_OR_NEG :args (_let_147 2)) :args ((or _let_152 _let_147))) (REORDERING (CNF_OR_NEG :args (_let_147 1)) :args ((or _let_22 _let_147))) _let_266 _let_187 _let_454 _let_264 _let_263 _let_258 _let_257 _let_256 _let_255 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_443 :args (tptp.a336 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_442)) :args _let_441)) _let_444 _let_252 _let_440 _let_408 _let_439 _let_187 _let_407 _let_406 _let_401 _let_295 _let_297 _let_187 _let_159 (MACRO_RESOLUTION_TRUST _let_258 _let_257 _let_256 _let_255 _let_252 _let_408 _let_407 _let_406 _let_401 _let_400 _let_397 _let_263 _let_264 _let_266 _let_187 _let_268 _let_277 _let_393 _let_391 _let_281 _let_390 _let_187 _let_346 _let_187 _let_389 _let_327 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_325 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_324)) :args _let_323)) (REORDERING (CNF_OR_POS :args (_let_438)) :args ((or _let_426 _let_425 _let_437 (not _let_438)))) _let_348 (REORDERING (CNF_OR_POS :args (_let_436)) :args ((or _let_427 _let_426 _let_435 (not _let_436)))) _let_359 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_355 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_354)) :args _let_353)) _let_356 :args ((or _let_161 _let_427 _let_426 _let_425) true _let_1 true _let_3 false _let_5 false _let_6 false tptp.hskp26 true tptp.hskp16 true _let_42 false _let_127 false _let_122 false _let_120 false _let_131 false _let_129 false _let_128 false tptp.ndr1_0 true tptp.hskp21 true _let_26 false _let_388 false _let_386 false _let_124 false _let_384 false tptp.ndr1_0 false _let_121 false tptp.ndr1_0 true _let_383 true _let_114 true _let_113 true _let_438 true tptp.hskp0 false _let_435 true _let_95 false _let_436 false _let_109)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_428 2)) (CONG (REFL :args (_let_428)) (MACRO_SR_PRED_INTRO :args ((= (not _let_425) _let_424))) :args _let_160)) :args ((or _let_424 _let_428))) (CNF_OR_NEG :args (_let_428 1)) (CNF_OR_NEG :args (_let_428 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_434)) :args _let_434)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_433) _let_156))) (REFL :args ((not _let_428))) :args _let_160)) _let_298 :args ((or _let_156 _let_97 _let_99) true _let_25 false _let_26 true _let_146 true _let_21 false tptp.hskp21 false tptp.ndr1_0 true _let_147 true _let_128 true _let_129 true _let_131 true _let_1 true _let_3 false _let_5 false _let_432 false _let_431 false _let_6 false _let_430 false tptp.hskp26 false _let_429 false tptp.ndr1_0 true tptp.hskp16 true _let_42 false _let_127 false _let_122 false _let_154 false tptp.ndr1_0 true _let_133 true _let_108 false _let_424 true _let_426 true _let_427 true _let_428 true _let_155)))) (let ((_let_456 (or _let_51 _let_414 _let_49))) (let ((_let_457 (AND_ELIM _let_181 :args (30)))) (let ((_let_458 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_332 :args (tptp.a310 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_331)) :args _let_330)))) (let ((_let_459 (not _let_456))) (let ((_let_460 (REORDERING (CNF_OR_POS :args (_let_456)) :args ((or _let_51 _let_49 _let_414 _let_459))))) (let ((_let_461 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_446 _let_448 _let_298 _let_449 _let_297 _let_187 _let_450 _let_295 _let_267 _let_347 _let_265 _let_187 _let_345 _let_250 _let_344 _let_247 _let_276 _let_275 _let_274 _let_460 _let_268 (REORDERING (CNF_OR_NEG :args (_let_431 1)) :args ((or _let_50 _let_431))) (REORDERING (CNF_OR_NEG :args (_let_431 0)) :args ((or _let_415 _let_431))) _let_266 _let_187 _let_454 _let_264 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_195 _let_193 _let_165 _let_164 _let_163 _let_159 :args ((or _let_108 _let_459 _let_343 _let_336 _let_97 _let_99) true _let_413 false _let_156 true _let_412 false _let_155 false tptp.ndr1_0 false _let_418 true _let_154 false _let_206 true _let_122 false _let_205 false tptp.ndr1_0 true _let_153 true tptp.hskp12 false _let_146 true _let_54 true _let_21 true _let_23 false _let_25 false _let_51 false _let_26 true _let_49 true _let_414 false tptp.hskp21 false tptp.ndr1_0 true _let_431 true _let_128 true _let_129 true _let_151 false _let_148 true _let_138 true _let_139 true _let_140 true _let_141 true _let_137 true _let_134 true _let_135 true _let_136 true _let_133)) _let_334 _let_333 _let_458 _let_457 _let_187 _let_450 _let_449 _let_448 _let_446 _let_455 :args ((or _let_108 _let_97 _let_99) false _let_149 false _let_147 false _let_456 false _let_143 false tptp.ndr1_0 true _let_206 true _let_418 false _let_412 false _let_413 false _let_156)))) (let ((_let_462 ((not (= (tptp.c2_1 V) true))))) (let ((_let_463 (MACRO_RESOLUTION_TRUST _let_451 _let_453 _let_248 _let_247 _let_246 _let_250 _let_265 _let_187 _let_263 _let_258 _let_257 _let_256 _let_255 _let_444 _let_252 _let_440 _let_408 _let_439 _let_187 :args ((or tptp.hskp16 _let_205 _let_452) true _let_414 true _let_49 true _let_51 false _let_53 false _let_54 false tptp.hskp12 false tptp.ndr1_0 true _let_129 true _let_131 true _let_1 true _let_3 false _let_5 false _let_431 false _let_6 false _let_430 false tptp.hskp26 false _let_429 false tptp.ndr1_0)))) (let ((_let_464 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_465 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_466 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_467 (or _let_466 _let_465 _let_464))) (let ((_let_468 (tptp.c2_1 tptp.a297))) (let ((_let_469 (not _let_468))) (let ((_let_470 (or _let_78 _let_369 _let_469))) (let ((_let_471 (forall ((X5 $$unsorted)) (or (tptp.c2_1 X5) (not (tptp.c0_1 X5)) (not (tptp.c1_1 X5)))))) (let ((_let_472 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_473 (not _let_472))) (let ((_let_474 (not _let_466))) (let ((_let_475 (or _let_465 _let_474 _let_473))) (let ((_let_476 (or _let_80 _let_78 _let_469))) (let ((_let_477 (or _let_465 _let_464 _let_473))) (let ((_let_478 (forall ((X41 $$unsorted)) (or (tptp.c0_1 X41) (tptp.c3_1 X41) (not (tptp.c2_1 X41)))))) (let ((_let_479 (not _let_31))) (let ((_let_480 (or _let_29 _let_27 _let_479))) (let ((_let_481 (not _let_69))) (let ((_let_482 (or _let_67 _let_65 _let_481))) (let ((_let_483 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_484 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_485 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_486 (or _let_485 _let_484 _let_483))) (let ((_let_487 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_488 (not _let_487))) (let ((_let_489 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_490 (not _let_489))) (let ((_let_491 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_492 (or _let_491 _let_490 _let_488))) (let ((_let_493 (forall ((X35 $$unsorted)) (or (tptp.c0_1 X35) (tptp.c2_1 X35) (not (tptp.c1_1 X35)))))) (let ((_let_494 (forall ((X57 $$unsorted)) (or (tptp.c1_1 X57) (tptp.c3_1 X57) (not (tptp.c2_1 X57)))))) (let ((_let_495 (or _let_491 _let_487 _let_490))) (let ((_let_496 (not _let_76))) (let ((_let_497 (or _let_74 _let_72 _let_496))) (let ((_let_498 (or (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32) _let_491 _let_490))) (let ((_let_499 (not _let_470))) (let ((_let_500 (not _let_143))) (let ((_let_501 (_let_500))) (let ((_let_502 (or _let_144 _let_91 _let_89))) (let ((_let_503 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_504 (or _let_484 _let_483 _let_503))) (let ((_let_505 (not _let_503))) (let ((_let_506 (or _let_485 _let_484 _let_505))) (let ((_let_507 (or _let_91 _let_89 _let_157))) (let ((_let_508 (REORDERING (CNF_OR_POS :args (_let_506)) :args ((or _let_485 _let_484 _let_505 (not _let_506)))))) (let ((_let_509 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_280 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_279)) :args _let_278)))) (let ((_let_510 (or _let_80 _let_468 _let_78))) (let ((_let_511 (or _let_485 _let_483 _let_503))) (let ((_let_512 (_let_470))) (let ((_let_513 (_let_494))) (let ((_let_514 ((not (= (tptp.c1_1 X57) true))))) (let ((_let_515 (ASSUME :args _let_513))) (let ((_let_516 (not _let_495))) (let ((_let_517 (not _let_492))) (let ((_let_518 (not _let_218))) (let ((_let_519 (_let_518))) (let ((_let_520 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_286 :args (tptp.a305 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_285)) :args _let_284)))) (let ((_let_521 (not _let_482))) (let ((_let_522 (not _let_70))) (let ((_let_523 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_482)) :args ((or _let_67 _let_65 _let_481 _let_521))) (REORDERING (CNF_AND_POS :args (_let_70 3)) :args ((or _let_66 _let_522))) (REORDERING (CNF_AND_POS :args (_let_70 2)) :args ((or _let_68 _let_522))) (REORDERING (CNF_AND_POS :args (_let_70 1)) :args ((or _let_69 _let_522))) :args ((or _let_522 _let_521) true _let_65 true _let_67 false _let_69)))) (let ((_let_524 (AND_ELIM _let_181 :args (8)))) (let ((_let_525 (not _let_77))) (let ((_let_526 (_let_471))) (let ((_let_527 (not _let_476))) (let ((_let_528 (not _let_467))) (let ((_let_529 (not _let_475))) (let ((_let_530 (_let_478))) (let ((_let_531 (not _let_172))) (let ((_let_532 (_let_531))) (let ((_let_533 (not _let_480))) (let ((_let_534 (not _let_32))) (let ((_let_535 (REORDERING (CNF_AND_POS :args (_let_32 2)) :args ((or _let_30 _let_534))))) (let ((_let_536 (REORDERING (CNF_AND_POS :args (_let_32 3)) :args ((or _let_28 _let_534))))) (let ((_let_537 (AND_ELIM _let_181 :args (20)))) (let ((_let_538 (AND_ELIM _let_181 :args (67)))) (let ((_let_539 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_231 (= X2 X67)))))) (let ((_let_540 (not _let_422))) (let ((_let_541 (not _let_420))) (let ((_let_542 (tptp.c0_1 tptp.a321))) (let ((_let_543 (not _let_542))) (let ((_let_544 (or _let_38 _let_543 _let_126))) (let ((_let_545 (or _let_542 _let_38 _let_126))) (let ((_let_546 (not _let_544))) (let ((_let_547 (not _let_545))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_397 _let_393 _let_391 _let_390 _let_187 _let_346 _let_187 _let_389 _let_327 _let_326 _let_322 _let_319 _let_538 _let_187 _let_539 (MACRO_RESOLUTION_TRUST _let_305 _let_301 _let_300 _let_299 _let_185 _let_296 _let_187 _let_288 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_286 :args (tptp.a321 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X12) true))))) :args _let_284)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_544)) :args ((or _let_38 _let_126 _let_543 _let_546))) (REORDERING (CNF_OR_POS :args (_let_545)) :args ((or _let_38 _let_126 _let_542 _let_547))) _let_405 _let_404 :args ((or _let_403 _let_547 _let_546) false _let_542 true _let_38 false _let_41)) _let_311 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_310 :args (tptp.a321 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_309)) :args _let_308)) _let_401 _let_406 :args ((or _let_403 (not _let_231)) true _let_84 false _let_86 false _let_87 false _let_88 false tptp.hskp1 false tptp.ndr1_0 true _let_220 true _let_218 true _let_545 false _let_230 false _let_544 true _let_122 true _let_127)) _let_537 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_422)) :args ((or _let_29 _let_27 _let_421 _let_540))) (REORDERING (CNF_OR_POS :args (_let_420)) :args ((or _let_29 _let_27 _let_419 _let_541))) _let_536 _let_535 :args ((or _let_534 _let_541 _let_540) false _let_419 true _let_27 true _let_29)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_262 :args (tptp.a333 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_261)) :args _let_260)) (MACRO_RESOLUTION_TRUST _let_305 _let_301 _let_300 _let_299 _let_185 _let_311 _let_296 _let_187 _let_539 _let_288 _let_538 _let_187 _let_520 _let_537 _let_523 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_480)) :args ((or _let_29 _let_27 _let_479 _let_533))) _let_536 _let_535 (REORDERING (CNF_AND_POS :args (_let_32 1)) :args ((or _let_31 _let_534))) :args ((or _let_534 _let_533) true _let_27 true _let_29 false _let_31)) _let_524 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_191 :args (tptp.a333 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_190)) :args _let_189)) (AND_ELIM _let_181 :args (51)) _let_187 _let_319 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_532)) :args _let_532)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_531) _let_172))) (REFL :args ((not _let_477))) :args _let_160)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_530) :args (tptp.a297 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X41) true))))) :args _let_530)) _let_322 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_475)) :args ((or _let_465 _let_473 _let_474 _let_529))) (REORDERING (CNF_OR_POS :args (_let_467)) :args ((or _let_465 _let_464 _let_466 _let_528))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_477 2)) (CONG (REFL :args (_let_477)) (MACRO_SR_PRED_INTRO :args ((= (not _let_473) _let_472))) :args _let_160)) :args ((or _let_472 _let_477))) (CNF_OR_NEG :args (_let_477 1)) (CNF_OR_NEG :args (_let_477 0)) :args ((or _let_477 _let_529 _let_528) false _let_466 false _let_472 true _let_464 true _let_465)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_236 (= X14 X42)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_476)) :args ((or _let_80 _let_78 _let_469 _let_527))) _let_379 _let_378 :args ((or _let_376 _let_469 _let_527) true _let_78 true _let_80)) _let_326 _let_375 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_526) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 X5) true))))) :args _let_526)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_316 :args (tptp.a297 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_315)) :args _let_314)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_470 2)) (CONG (REFL :args _let_512) (MACRO_SR_PRED_INTRO :args ((= (not _let_469) _let_468))) :args _let_160)) :args ((or _let_468 _let_470))) _let_327 _let_374 _let_187 (MACRO_RESOLUTION_TRUST _let_359 _let_348 _let_356 (AND_ELIM _let_181 :args (33)) _let_187 _let_457 _let_187 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_143 (= U X4)))) :args ((or _let_143 _let_206 _let_471) false _let_95 false _let_109 false tptp.hskp0 false tptp.ndr1_0 false _let_108 false tptp.ndr1_0 true (forall ((X4 $$unsorted)) (or (tptp.c0_1 X4) (tptp.c1_1 X4) (tptp.c2_1 X4))))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_497)) :args ((or _let_74 _let_72 _let_496 (not _let_497)))) (REORDERING (CNF_AND_POS :args (_let_77 3)) :args ((or _let_73 _let_525))) (REORDERING (CNF_AND_POS :args (_let_77 2)) :args ((or _let_75 _let_525))) (REORDERING (CNF_AND_POS :args (_let_77 1)) :args ((or _let_76 _let_525))) (AND_ELIM _let_181 :args (5)) (REORDERING (AND_ELIM _let_181 :args (47)) :args ((or tptp.hskp5 tptp.hskp8 _let_312 _let_493))) _let_187 _let_524 _let_523 _let_520 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_519)) :args _let_519)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_518) _let_218))) (REFL :args ((not _let_498))) :args _let_160)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_495)) :args ((or _let_491 _let_490 _let_487 _let_516))) (REORDERING (CNF_OR_POS :args (_let_492)) :args ((or _let_491 _let_490 _let_488 _let_517))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_498 2)) (CONG (REFL :args (_let_498)) (MACRO_SR_PRED_INTRO :args ((= (not _let_490) _let_489))) :args _let_160)) :args ((or _let_489 _let_498))) (CNF_OR_NEG :args (_let_498 1)) :args ((or _let_498 _let_517 _let_516) true _let_487 false _let_489 true _let_491)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_515 :args (tptp.a301 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_514)) :args _let_513)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_515 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_514)) :args _let_513)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_494 (= X57 X62)))) (AND_ELIM _let_181 :args (63)) _let_187 _let_407 _let_406 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_156 (= X10 X35)))) _let_446 _let_448 _let_401 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_294 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_293)) :args _let_292)) _let_449 _let_295 _let_450 (MACRO_RESOLUTION_TRUST _let_448 _let_446 _let_449 _let_298 _let_450 _let_297 _let_187 _let_457 _let_187 _let_159 :args ((or _let_143 _let_108 _let_154 _let_97 _let_99) false _let_413 true _let_412 false _let_156 false _let_418 false _let_155 false tptp.ndr1_0 false _let_206 false tptp.ndr1_0 true _let_133)) _let_457 _let_187 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args _let_512) :args ((or _let_78 _let_369 _let_469 _let_499))) (REORDERING (CNF_OR_POS :args (_let_510)) :args ((or _let_80 _let_78 _let_468 (not _let_510)))) _let_379 _let_378 _let_377 _let_375 _let_374 _let_187 _let_373 _let_509 _let_508 _let_348 (REORDERING (CNF_OR_POS :args (_let_511)) :args ((or _let_485 _let_483 _let_503 (not _let_511)))) _let_359 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_355 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_354)) :args _let_353)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_355 :args (tptp.a297 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_354)) :args _let_353)) _let_356 :args ((or _let_161 _let_485 _let_484 _let_483 _let_499) false _let_468 true _let_78 true _let_80 false _let_82 false _let_83 false tptp.hskp2 false tptp.ndr1_0 true _let_368 true _let_121 true _let_506 true tptp.hskp0 false _let_503 true _let_95 false _let_511 false _let_510 false _let_109)) _let_319 _let_322 _let_326 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_507)) :args ((or _let_91 _let_89 _let_157 (not _let_507)))) (REORDERING (CNF_OR_POS :args (_let_502)) :args ((or _let_91 _let_89 _let_144 (not _let_502)))) _let_358 _let_351 _let_348 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_191 :args (tptp.a294 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_190)) :args _let_189)) _let_346 _let_187 _let_192 _let_509 _let_188 _let_187 _let_508 _let_182 (REORDERING (CNF_OR_POS :args (_let_504)) :args ((or _let_484 _let_483 _let_503 (not _let_504)))) _let_180 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_176 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_174)) _let_177 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_176 :args (tptp.a294 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_174)) _let_328 _let_187 _let_327 :args ((or _let_142 _let_113 _let_485 _let_484 _let_483) false _let_144 true _let_89 true _let_91 false _let_95 false _let_507 false tptp.hskp0 false tptp.ndr1_0 false _let_172 true _let_121 false _let_171 false tptp.ndr1_0 true _let_506 true tptp.hskp22 false _let_503 true _let_20 false _let_504 false _let_166 false _let_502 false _let_137 false tptp.ndr1_0 true _let_114)) (CNF_OR_NEG :args (_let_486 2)) (CNF_OR_NEG :args (_let_486 1)) (CNF_OR_NEG :args (_let_486 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_501)) :args _let_501)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_500) _let_143))) (REFL :args ((not _let_486))) :args _let_160)) _let_329 :args ((or _let_143 _let_97 _let_99 _let_499) true _let_72 true _let_74 false _let_76 false _let_77 false tptp.hskp5 false tptp.ndr1_0 true tptp.hskp8 true _let_70 false _let_482 false _let_218 false _let_498 false _let_497 false _let_495 false _let_494 false (forall ((X62 $$unsorted)) (or (tptp.c1_1 X62) (tptp.c3_1 X62) (not (tptp.c2_1 X62)))) false tptp.ndr1_0 true tptp.hskp16 true _let_42 true _let_493 true _let_156 true _let_413 false _let_127 false _let_492 true _let_412 false _let_122 false _let_418 false _let_154 false _let_206 false tptp.ndr1_0 true _let_108 true tptp.hskp11 true _let_59 false _let_112 false _let_113 true _let_483 true _let_484 true _let_485 true _let_486 true _let_142)) _let_346 _let_187 _let_373 _let_458 _let_281 _let_460 _let_453 _let_277 _let_248 _let_247 _let_268 _let_250 _let_266 _let_187 _let_265 _let_187 _let_264 _let_348 _let_359 _let_356 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_355 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_462)) :args _let_353)) _let_461 _let_401 _let_406 _let_407 _let_463 _let_267 _let_450 _let_449 _let_448 _let_446 _let_447 _let_455 :args ((or _let_129 _let_97 _let_99) true _let_84 false _let_86 false _let_87 false _let_88 false _let_230 false tptp.hskp1 false tptp.ndr1_0 false _let_231 true _let_220 false _let_423 false tptp.ndr1_0 true _let_218 true tptp.hskp20 true _let_482 true _let_32 false _let_70 false _let_480 false tptp.hskp8 false tptp.ndr1_0 true tptp.hskp11 false _let_172 true _let_478 true _let_59 false _let_477 true (forall ((X42 $$unsorted)) (or (tptp.c3_1 X42) (not (tptp.c1_1 X42)) (not (tptp.c2_1 X42)))) true _let_476 false _let_112 false _let_83 false _let_475 true _let_236 false _let_468 false _let_113 false tptp.hskp2 false tptp.ndr1_0 false _let_471 true _let_470 false _let_114 false tptp.ndr1_0 true _let_368 true _let_143 true _let_121 true _let_456 true _let_414 true _let_124 true _let_49 true _let_51 false _let_26 false _let_54 false tptp.hskp21 false tptp.ndr1_0 false tptp.hskp12 false tptp.ndr1_0 true _let_128 true tptp.hskp0 true _let_95 false _let_109 false _let_467 false _let_108 true _let_122 true _let_127 false _let_42 false tptp.hskp16 true _let_205 true _let_206 true _let_418 false _let_412 false _let_413 false _let_416 false _let_156)) _let_400 _let_401 _let_406 _let_407 _let_463 _let_348 _let_359 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_355 :args (tptp.a333 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_462)) :args _let_353)) _let_356 _let_461 _let_267 _let_450 _let_449 _let_448 _let_447 _let_446 _let_455 :args ((or _let_97 _let_99) false _let_388 false _let_386 false _let_384 false tptp.ndr1_0 false _let_121 false tptp.ndr1_0 true _let_383 true _let_114 true _let_113 true _let_112 false _let_59 false tptp.hskp11 false tptp.ndr1_0 true _let_423 true _let_231 true tptp.hskp20 true _let_32 false _let_422 false _let_129 true _let_120 true _let_122 true _let_127 false _let_42 false tptp.hskp16 true tptp.hskp0 true _let_95 false _let_420 false _let_109 false _let_108 true _let_205 true _let_206 true _let_418 false _let_412 false _let_416 false _let_413 false _let_156)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 1)) (CONG (REFL :args (_let_100)) (MACRO_SR_PRED_INTRO :args ((= (not _let_99) _let_98))) :args _let_160)) :args ((or _let_98 _let_100))) _let_411 :args (_let_98 true _let_100)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_100 0)) _let_411 :args ((not _let_97) true _let_100)) :args (false false _let_98 true _let_97)) :args (_let_96 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.77  )
% 0.22/0.77  % SZS output end Proof for SYN445+1
% 0.22/0.77  % cvc5---1.0.5 exiting
% 0.22/0.78  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------