TSTP Solution File: SYN511+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN511+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 02:03:48 EDT 2023
% Result : Theorem 0.20s 0.72s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN511+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 22:01:30 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.72 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.cCV8CwOdOK/cvc5---1.0.5_25133.p...
% 0.20/0.72 ------- get file name : TPTP file name is SYN511+1
% 0.20/0.72 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25133.smt2...
% 0.20/0.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.72 % SZS status Theorem for SYN511+1
% 0.20/0.72 % SZS output start Proof for SYN511+1
% 0.20/0.72 (
% 0.20/0.72 (let ((_let_1 (tptp.c3_1 tptp.a753))) (let ((_let_2 (tptp.c2_1 tptp.a753))) (let ((_let_3 (tptp.c0_1 tptp.a753))) (let ((_let_4 (and tptp.ndr1_0 _let_3 _let_2 _let_1))) (let ((_let_5 (tptp.c3_1 tptp.a725))) (let ((_let_6 (tptp.c2_1 tptp.a725))) (let ((_let_7 (tptp.c1_1 tptp.a725))) (let ((_let_8 (and tptp.ndr1_0 _let_7 _let_6 _let_5))) (let ((_let_9 (not tptp.hskp29))) (let ((_let_10 (tptp.c3_1 tptp.a678))) (let ((_let_11 (tptp.c1_1 tptp.a678))) (let ((_let_12 (tptp.c0_1 tptp.a678))) (let ((_let_13 (and tptp.ndr1_0 _let_12 _let_11 _let_10))) (let ((_let_14 (tptp.c3_1 tptp.a762))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.c0_1 tptp.a762))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.c1_1 tptp.a762))) (let ((_let_19 (and tptp.ndr1_0 _let_18 _let_17 _let_15))) (let ((_let_20 (tptp.c3_1 tptp.a731))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.c1_1 tptp.a731))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.c0_1 tptp.a731))) (let ((_let_25 (and tptp.ndr1_0 _let_24 _let_23 _let_21))) (let ((_let_26 (and tptp.ndr1_0 (tptp.c0_1 tptp.a715) (not (tptp.c2_1 tptp.a715)) (not (tptp.c3_1 tptp.a715))))) (let ((_let_27 (tptp.c0_1 tptp.a710))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.c2_1 tptp.a710))) (let ((_let_30 (tptp.c1_1 tptp.a710))) (let ((_let_31 (and tptp.ndr1_0 _let_30 _let_29 _let_28))) (let ((_let_32 (tptp.c2_1 tptp.a708))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.c1_1 tptp.a708))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.c3_1 tptp.a708))) (let ((_let_37 (and tptp.ndr1_0 _let_36 _let_35 _let_33))) (let ((_let_38 (tptp.c1_1 tptp.a702))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.c3_1 tptp.a702))) (let ((_let_41 (tptp.c2_1 tptp.a702))) (let ((_let_42 (and tptp.ndr1_0 _let_41 _let_40 _let_39))) (let ((_let_43 (tptp.c3_1 tptp.a700))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.c0_1 tptp.a700))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.c2_1 tptp.a700))) (let ((_let_48 (and tptp.ndr1_0 _let_47 _let_46 _let_44))) (let ((_let_49 (tptp.c3_1 tptp.a696))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.c2_1 tptp.a696))) (let ((_let_52 (tptp.c0_1 tptp.a696))) (let ((_let_53 (and tptp.ndr1_0 _let_52 _let_51 _let_50))) (let ((_let_54 (tptp.c3_1 tptp.a688))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.c1_1 tptp.a688))) (let ((_let_57 (tptp.c0_1 tptp.a688))) (let ((_let_58 (and tptp.ndr1_0 _let_57 _let_56 _let_55))) (let ((_let_59 (tptp.c2_1 tptp.a684))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.c0_1 tptp.a684))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.c3_1 tptp.a684))) (let ((_let_64 (and tptp.ndr1_0 _let_63 _let_62 _let_60))) (let ((_let_65 (tptp.c2_1 tptp.a683))) (let ((_let_66 (not _let_65))) (let ((_let_67 (tptp.c3_1 tptp.a683))) (let ((_let_68 (tptp.c0_1 tptp.a683))) (let ((_let_69 (and tptp.ndr1_0 _let_68 _let_67 _let_66))) (let ((_let_70 (tptp.c0_1 tptp.a681))) (let ((_let_71 (not _let_70))) (let ((_let_72 (tptp.c3_1 tptp.a681))) (let ((_let_73 (tptp.c2_1 tptp.a681))) (let ((_let_74 (and tptp.ndr1_0 _let_73 _let_72 _let_71))) (let ((_let_75 (tptp.c3_1 tptp.a680))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.c1_1 tptp.a680))) (let ((_let_78 (not _let_77))) (let ((_let_79 (tptp.c2_1 tptp.a680))) (let ((_let_80 (and tptp.ndr1_0 _let_79 _let_78 _let_76))) (let ((_let_81 (tptp.c0_1 tptp.a679))) (let ((_let_82 (not _let_81))) (let ((_let_83 (tptp.c3_1 tptp.a679))) (let ((_let_84 (tptp.c1_1 tptp.a679))) (let ((_let_85 (and tptp.ndr1_0 _let_84 _let_83 _let_82))) (let ((_let_86 (tptp.c2_1 tptp.a675))) (let ((_let_87 (not _let_86))) (let ((_let_88 (tptp.c3_1 tptp.a675))) (let ((_let_89 (tptp.c1_1 tptp.a675))) (let ((_let_90 (and tptp.ndr1_0 _let_89 _let_88 _let_87))) (let ((_let_91 (tptp.c3_1 tptp.a673))) (let ((_let_92 (not _let_91))) (let ((_let_93 (tptp.c2_1 tptp.a673))) (let ((_let_94 (not _let_93))) (let ((_let_95 (tptp.c0_1 tptp.a673))) (let ((_let_96 (not _let_95))) (let ((_let_97 (and tptp.ndr1_0 _let_96 _let_94 _let_92))) (let ((_let_98 (tptp.c2_1 tptp.a672))) (let ((_let_99 (not _let_98))) (let ((_let_100 (tptp.c1_1 tptp.a672))) (let ((_let_101 (not _let_100))) (let ((_let_102 (tptp.c0_1 tptp.a672))) (let ((_let_103 (not _let_102))) (let ((_let_104 (and tptp.ndr1_0 _let_103 _let_101 _let_99))) (let ((_let_105 (and tptp.ndr1_0 (tptp.c3_1 tptp.a670) (not (tptp.c0_1 tptp.a670)) (not (tptp.c1_1 tptp.a670))))) (let ((_let_106 (tptp.c2_1 tptp.a669))) (let ((_let_107 (not _let_106))) (let ((_let_108 (tptp.c1_1 tptp.a669))) (let ((_let_109 (not _let_108))) (let ((_let_110 (tptp.c0_1 tptp.a669))) (let ((_let_111 (and tptp.ndr1_0 _let_110 _let_109 _let_107))) (let ((_let_112 (tptp.c3_1 tptp.a668))) (let ((_let_113 (not _let_112))) (let ((_let_114 (tptp.c2_1 tptp.a668))) (let ((_let_115 (not _let_114))) (let ((_let_116 (tptp.c1_1 tptp.a668))) (let ((_let_117 (and tptp.ndr1_0 _let_116 _let_115 _let_113))) (let ((_let_118 (not (not (and (or (not tptp.hskp0) _let_117) (or (not tptp.hskp1) _let_111) (or (not tptp.hskp2) _let_105) (or (not tptp.hskp3) (and tptp.ndr1_0 (tptp.c2_1 tptp.a671) (not (tptp.c0_1 tptp.a671)) (not (tptp.c1_1 tptp.a671)))) (or (not tptp.hskp4) _let_104) (or (not tptp.hskp5) _let_97) (or (not tptp.hskp6) (and tptp.ndr1_0 (tptp.c0_1 tptp.a674) (tptp.c3_1 tptp.a674) (not (tptp.c1_1 tptp.a674)))) (or (not tptp.hskp7) _let_90) (or (not tptp.hskp8) _let_85) (or (not tptp.hskp9) _let_80) (or (not tptp.hskp10) _let_74) (or (not tptp.hskp11) _let_69) (or (not tptp.hskp12) _let_64) (or (not tptp.hskp13) _let_58) (or (not tptp.hskp14) _let_53) (or (not tptp.hskp15) _let_48) (or (not tptp.hskp16) _let_42) (or (not tptp.hskp17) (and tptp.ndr1_0 (tptp.c1_1 tptp.a703) (not (tptp.c0_1 tptp.a703)) (not (tptp.c2_1 tptp.a703)))) (or (not tptp.hskp18) _let_37) (or (not tptp.hskp19) _let_31) (or (not tptp.hskp20) (and tptp.ndr1_0 (tptp.c0_1 tptp.a711) (tptp.c1_1 tptp.a711) (not (tptp.c2_1 tptp.a711)))) (or (not tptp.hskp21) _let_26) (or (not tptp.hskp22) (and tptp.ndr1_0 (tptp.c1_1 tptp.a716) (tptp.c2_1 tptp.a716) (not (tptp.c3_1 tptp.a716)))) (or (not tptp.hskp23) (and tptp.ndr1_0 (tptp.c0_1 tptp.a730) (tptp.c2_1 tptp.a730) (not (tptp.c1_1 tptp.a730)))) (or (not tptp.hskp24) _let_25) (or (not tptp.hskp25) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a760)) (not (tptp.c1_1 tptp.a760)) (not (tptp.c3_1 tptp.a760)))) (or (not tptp.hskp26) _let_19) (or (not tptp.hskp27) (and tptp.ndr1_0 (tptp.c0_1 tptp.a676) (tptp.c1_1 tptp.a676) (tptp.c2_1 tptp.a676))) (or (not tptp.hskp28) _let_13) (or _let_9 _let_8) (or (not tptp.hskp30) _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.c2_1 V) (not (tptp.c0_1 V)) (not (tptp.c1_1 V))))) tptp.hskp0) (or (forall ((W $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W)))) tptp.hskp1 tptp.hskp2) (or (forall ((X $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X) (tptp.c1_1 X) (tptp.c2_1 X)))) tptp.hskp3 tptp.hskp4) (or (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Y) (tptp.c1_1 Y) (tptp.c3_1 Y)))) (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 Z) (tptp.c3_1 Z) (not (tptp.c2_1 Z))))) tptp.hskp5) (or (forall ((X1 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X1) (tptp.c1_1 X1) (tptp.c3_1 X1)))) tptp.hskp6 tptp.hskp7) (or (forall ((X2 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X2) (tptp.c1_1 X2) (not (tptp.c2_1 X2))))) (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X3) (tptp.c2_1 X3) (not (tptp.c1_1 X3))))) tptp.hskp27) (or (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X4) (tptp.c1_1 X4) (not (tptp.c2_1 X4))))) (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X5) (tptp.c2_1 X5) (not (tptp.c3_1 X5))))) tptp.hskp5) (or (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X6) (tptp.c1_1 X6) (not (tptp.c2_1 X6))))) (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X7) (tptp.c3_1 X7) (not (tptp.c0_1 X7))))) (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X8) (not (tptp.c1_1 X8)) (not (tptp.c3_1 X8)))))) (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 (not (tptp.c0_1 X10)) (not (tptp.c2_1 X10)) (not (tptp.c3_1 X10))))) tptp.hskp28) (or (forall ((X11 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X11) (tptp.c1_1 X11) (not (tptp.c2_1 X11))))) tptp.hskp8 tptp.hskp9) (or (forall ((X12 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X12) (tptp.c1_1 X12) (not (tptp.c2_1 X12))))) tptp.hskp10 tptp.hskp2) (or (forall ((X13 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X13) (tptp.c1_1 X13) (not (tptp.c3_1 X13))))) (forall ((X14 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X14) (not (tptp.c1_1 X14)) (not (tptp.c3_1 X14))))) (forall ((X15 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X15) (not (tptp.c0_1 X15)) (not (tptp.c3_1 X15)))))) (or (forall ((X16 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X16) (tptp.c1_1 X16) (not (tptp.c3_1 X16))))) (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X17) (not (tptp.c2_1 X17)) (not (tptp.c3_1 X17))))) tptp.hskp11) (or (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X18) (tptp.c1_1 X18) (not (tptp.c3_1 X18))))) (forall ((X19 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X19) (not (tptp.c0_1 X19)) (not (tptp.c1_1 X19))))) (forall ((X20 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X20)) (not (tptp.c2_1 X20)) (not (tptp.c3_1 X20)))))) (or (forall ((X21 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X21) (tptp.c1_1 X21) (not (tptp.c3_1 X21))))) (forall ((X22 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X22)) (not (tptp.c2_1 X22)) (not (tptp.c3_1 X22))))) tptp.hskp12) (or (forall ((X23 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X23) (tptp.c2_1 X23) (tptp.c3_1 X23)))) (forall ((X24 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X24) (tptp.c2_1 X24) (not (tptp.c1_1 X24))))) tptp.hskp6) (or (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X25) (tptp.c2_1 X25) (tptp.c3_1 X25)))) tptp.hskp28 tptp.hskp7) (or (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X26) (tptp.c2_1 X26) (tptp.c3_1 X26)))) tptp.hskp13 tptp.hskp9) (or (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X27) (tptp.c2_1 X27) (not (tptp.c1_1 X27))))) (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X28) (not (tptp.c1_1 X28)) (not (tptp.c3_1 X28))))) (forall ((X29 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X29)) (not (tptp.c2_1 X29)) (not (tptp.c3_1 X29)))))) (or (forall ((X30 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X30) (tptp.c2_1 X30) (not (tptp.c1_1 X30))))) (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X31) (not (tptp.c2_1 X31)) (not (tptp.c3_1 X31))))) (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X32) (not (tptp.c0_1 X32)) (not (tptp.c2_1 X32)))))) (or (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X33) (tptp.c2_1 X33) (not (tptp.c1_1 X33))))) (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X34) (not (tptp.c2_1 X34)) (not (tptp.c3_1 X34))))) (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X35)) (not (tptp.c2_1 X35)) (not (tptp.c3_1 X35)))))) (or (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X36) (tptp.c2_1 X36) (not (tptp.c3_1 X36))))) (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X37) (not (tptp.c0_1 X37)) (not (tptp.c3_1 X37))))) tptp.hskp7) (or (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X38) (tptp.c3_1 X38) (not (tptp.c1_1 X38))))) (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X39) (not (tptp.c1_1 X39)) (not (tptp.c3_1 X39))))) tptp.hskp0) (or (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X40) (tptp.c3_1 X40) (not (tptp.c1_1 X40))))) (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X41) (not (tptp.c0_1 X41)) (not (tptp.c3_1 X41))))) tptp.hskp8) (or (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X42) (tptp.c3_1 X42) (not (tptp.c1_1 X42))))) (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X43) (not (tptp.c0_1 X43)) (not (tptp.c1_1 X43))))) (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X44) (not (tptp.c1_1 X44)) (not (tptp.c3_1 X44)))))) (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.c2_1 X46) (not (tptp.c0_1 X46)) (not (tptp.c3_1 X46))))) tptp.hskp12) (or (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X47) (tptp.c3_1 X47) (not (tptp.c1_1 X47))))) (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X48) (not (tptp.c1_1 X48)) (not (tptp.c2_1 X48))))) tptp.hskp4) (or (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X49) (tptp.c3_1 X49) (not (tptp.c2_1 X49))))) (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X50) (not (tptp.c1_1 X50)) (not (tptp.c3_1 X50))))) (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X51)) (not (tptp.c1_1 X51)) (not (tptp.c3_1 X51)))))) (or (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X52) (tptp.c3_1 X52) (not (tptp.c2_1 X52))))) (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X53) (tptp.c3_1 X53) (not (tptp.c1_1 X53))))) tptp.hskp10) (or (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X54) (tptp.c3_1 X54) (not (tptp.c2_1 X54))))) tptp.hskp14 tptp.hskp1) (or (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X55) (not (tptp.c1_1 X55)) (not (tptp.c2_1 X55))))) (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X56) (not (tptp.c2_1 X56)) (not (tptp.c3_1 X56))))) (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X57)) (not (tptp.c2_1 X57)) (not (tptp.c3_1 X57)))))) (or (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X58) (not (tptp.c1_1 X58)) (not (tptp.c2_1 X58))))) (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X59) (tptp.c2_1 X59) (not (tptp.c3_1 X59))))) tptp.hskp27) (or (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X60) (not (tptp.c1_1 X60)) (not (tptp.c2_1 X60))))) (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X61) (not (tptp.c0_1 X61)) (not (tptp.c3_1 X61)))))) (or (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X62) (not (tptp.c1_1 X62)) (not (tptp.c2_1 X62))))) (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X63) (tptp.c3_1 X63) (not (tptp.c0_1 X63))))) (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X64) (not (tptp.c0_1 X64)) (not (tptp.c1_1 X64)))))) (or (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X65) (not (tptp.c1_1 X65)) (not (tptp.c2_1 X65))))) (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X66) (not (tptp.c0_1 X66)) (not (tptp.c1_1 X66))))) tptp.hskp10) (or (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X67) (not (tptp.c1_1 X67)) (not (tptp.c2_1 X67))))) (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X68)) (not (tptp.c1_1 X68)) (not (tptp.c3_1 X68))))) tptp.hskp15) (or (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X69) (not (tptp.c1_1 X69)) (not (tptp.c3_1 X69))))) (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X70) (not (tptp.c0_1 X70)) (not (tptp.c2_1 X70))))) tptp.hskp3) (or (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X71) (not (tptp.c1_1 X71)) (not (tptp.c3_1 X71))))) (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X72) (not (tptp.c0_1 X72)) (not (tptp.c1_1 X72))))) tptp.hskp16) (or (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X73) (not (tptp.c1_1 X73)) (not (tptp.c3_1 X73))))) (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X74) (not (tptp.c0_1 X74)) (not (tptp.c2_1 X74))))) tptp.hskp17) (or (forall ((X75 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X75) (not (tptp.c1_1 X75)) (not (tptp.c3_1 X75))))) tptp.hskp6 tptp.hskp4) (or (forall ((X76 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X76) (not (tptp.c2_1 X76)) (not (tptp.c3_1 X76))))) tptp.hskp11 tptp.hskp16) (or (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X77) (tptp.c2_1 X77) (tptp.c3_1 X77)))) (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X78)) (not (tptp.c2_1 X78)) (not (tptp.c3_1 X78))))) tptp.hskp18) (or (forall ((X79 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X79) (tptp.c2_1 X79) (not (tptp.c0_1 X79))))) (forall ((X80 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X80) (not (tptp.c0_1 X80)) (not (tptp.c3_1 X80))))) tptp.hskp6) (or (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X81) (tptp.c2_1 X81) (not (tptp.c0_1 X81))))) (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X82)) (not (tptp.c2_1 X82)) (not (tptp.c3_1 X82))))) tptp.hskp19) (or (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X83) (tptp.c2_1 X83) (not (tptp.c0_1 X83))))) tptp.hskp20 tptp.hskp13) (or (forall ((X84 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X84) (tptp.c2_1 X84) (not (tptp.c0_1 X84))))) tptp.hskp1 tptp.hskp15) (or (forall ((X85 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X85) (tptp.c2_1 X85) (not (tptp.c0_1 X85))))) tptp.hskp21 tptp.hskp22) (or (forall ((X86 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X86) (tptp.c2_1 X86) (not (tptp.c0_1 X86))))) tptp.hskp9 tptp.hskp2) (or (forall ((X87 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X87) (tptp.c2_1 X87) (not (tptp.c3_1 X87))))) (forall ((X88 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X88) (not (tptp.c1_1 X88)) (not (tptp.c2_1 X88))))) tptp.hskp10) (or (forall ((X89 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X89) (tptp.c2_1 X89) (not (tptp.c3_1 X89))))) (forall ((X90 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X90)) (not (tptp.c1_1 X90)) (not (tptp.c3_1 X90))))) tptp.hskp16) (or (forall ((X91 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X91) (tptp.c2_1 X91) (not (tptp.c3_1 X91))))) tptp.hskp20 tptp.hskp0) (or (forall ((X92 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X92) (tptp.c3_1 X92) (not (tptp.c0_1 X92))))) (forall ((X93 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X93) (tptp.c3_1 X93) (not (tptp.c2_1 X93))))) (forall ((X94 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X94)) (not (tptp.c2_1 X94)) (not (tptp.c3_1 X94)))))) (or (forall ((X95 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X95) (tptp.c3_1 X95) (not (tptp.c0_1 X95))))) (forall ((X96 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X96) (not (tptp.c0_1 X96)) (not (tptp.c1_1 X96))))) (forall ((X97 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X97)) (not (tptp.c2_1 X97)) (not (tptp.c3_1 X97)))))) (or (forall ((X98 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X98) (tptp.c3_1 X98) (not (tptp.c0_1 X98))))) tptp.hskp20 tptp.hskp19) (or (forall ((X99 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X99) (tptp.c3_1 X99) (not (tptp.c0_1 X99))))) tptp.hskp29 tptp.hskp15) (or (forall ((X100 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X100) (tptp.c3_1 X100) (not (tptp.c2_1 X100))))) (forall ((X101 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X101) (not (tptp.c2_1 X101)) (not (tptp.c3_1 X101))))) tptp.hskp13) (or (forall ((X102 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X102) (tptp.c3_1 X102) (not (tptp.c2_1 X102))))) (forall ((X103 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X103) (not (tptp.c0_1 X103)) (not (tptp.c3_1 X103))))) (forall ((X104 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X104) (not (tptp.c0_1 X104)) (not (tptp.c2_1 X104)))))) (or (forall ((X105 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X105) (tptp.c3_1 X105) (not (tptp.c2_1 X105))))) tptp.hskp27 tptp.hskp1) (or (forall ((X106 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X106) (not (tptp.c0_1 X106)) (not (tptp.c2_1 X106))))) (forall ((X107 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X107) (not (tptp.c2_1 X107)) (not (tptp.c3_1 X107))))) tptp.hskp23) (or (forall ((X108 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X108) (not (tptp.c0_1 X108)) (not (tptp.c2_1 X108))))) tptp.hskp24 tptp.hskp19) (or (forall ((X109 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X109) (tptp.c3_1 X109) (not (tptp.c1_1 X109))))) (forall ((X110 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X110)) (not (tptp.c2_1 X110)) (not (tptp.c3_1 X110))))) tptp.hskp5) (or (forall ((X111 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X111) (not (tptp.c0_1 X111)) (not (tptp.c3_1 X111))))) tptp.hskp15 tptp.hskp4) (or (forall ((X112 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X112) (not (tptp.c1_1 X112)) (not (tptp.c3_1 X112))))) tptp.hskp28 tptp.hskp10) (or (forall ((X113 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X113) (not (tptp.c1_1 X113)) (not (tptp.c3_1 X113))))) tptp.hskp14 tptp.hskp17) (or (forall ((X114 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X114) (not (tptp.c0_1 X114)) (not (tptp.c1_1 X114))))) tptp.hskp14 tptp.hskp24) (or (forall ((X115 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X115) (not (tptp.c1_1 X115)) (not (tptp.c2_1 X115))))) (forall ((X116 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X116)) (not (tptp.c2_1 X116)) (not (tptp.c3_1 X116))))) tptp.hskp21) (or (forall ((X117 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X117) (not (tptp.c1_1 X117)) (not (tptp.c2_1 X117))))) tptp.hskp1 tptp.hskp21) (or (forall ((X118 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X118)) (not (tptp.c1_1 X118)) (not (tptp.c2_1 X118))))) tptp.hskp9 tptp.hskp5) (or (forall ((X119 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X119)) (not (tptp.c2_1 X119)) (not (tptp.c3_1 X119))))) (forall ((X120 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X120)) (not (tptp.c2_1 X120)) (not (tptp.c3_1 X120)))))) (or (forall ((X121 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X121)) (not (tptp.c2_1 X121)) (not (tptp.c3_1 X121))))) tptp.hskp23 tptp.hskp16) (or tptp.hskp27 tptp.hskp24 tptp.hskp18) (or tptp.hskp28 tptp.hskp30 tptp.hskp11) (or tptp.hskp28 tptp.hskp19 tptp.hskp9) (or tptp.hskp13 tptp.hskp12 tptp.hskp25) (or tptp.hskp30 tptp.hskp26 tptp.hskp12) (or tptp.hskp11 tptp.hskp21 tptp.hskp2) (or tptp.hskp24 tptp.hskp18 tptp.hskp4) (or tptp.hskp29 tptp.hskp0 tptp.hskp16) (or tptp.hskp22 tptp.hskp8 tptp.hskp0) (or tptp.hskp7 tptp.hskp25 tptp.hskp5)))))) (let ((_let_119 (not _let_10))) (let ((_let_120 (not _let_11))) (let ((_let_121 (tptp.c2_1 tptp.a678))) (let ((_let_122 (or _let_121 _let_120 _let_119))) (let ((_let_123 (forall ((X10 $$unsorted)) (or (not (tptp.c0_1 X10)) (not (tptp.c2_1 X10)) (not (tptp.c3_1 X10)))))) (let ((_let_124 (forall ((X9 $$unsorted)) (or (tptp.c0_1 X9) (tptp.c1_1 X9) (not (tptp.c2_1 X9)))))) (let ((_let_125 (not _let_1))) (let ((_let_126 (not _let_2))) (let ((_let_127 (not _let_3))) (let ((_let_128 (or _let_127 _let_126 _let_125))) (let ((_let_129 (not _let_123))) (let ((_let_130 (not _let_128))) (let ((_let_131 (not _let_121))) (let ((_let_132 (or _let_120 _let_131 _let_119))) (let ((_let_133 (forall ((X15 $$unsorted)) (or (tptp.c2_1 X15) (not (tptp.c0_1 X15)) (not (tptp.c3_1 X15)))))) (let ((_let_134 (forall ((X22 $$unsorted)) (or (not (tptp.c1_1 X22)) (not (tptp.c2_1 X22)) (not (tptp.c3_1 X22)))))) (let ((_let_135 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_136 (not _let_135))) (let ((_let_137 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_138 (not _let_137))) (let ((_let_139 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_140 (not _let_139))) (let ((_let_141 (or _let_140 _let_138 _let_136))) (let ((_let_142 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_143 (or _let_142 _let_140 _let_136))) (let ((_let_144 (forall ((X56 $$unsorted)) (or (tptp.c0_1 X56) (not (tptp.c2_1 X56)) (not (tptp.c3_1 X56)))))) (let ((_let_145 (forall ((X31 $$unsorted)) (or (tptp.c0_1 X31) (not (tptp.c2_1 X31)) (not (tptp.c3_1 X31)))))) (let ((_let_146 (or _let_142 _let_138 _let_136))) (let ((_let_147 (or))) (let ((_let_148 (not _let_134))) (let ((_let_149 (_let_148))) (let ((_let_150 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_149)) :args _let_149)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_148) _let_134))) (REFL :args ((not _let_141))) :args _let_147)))) (let ((_let_151 (forall ((X120 $$unsorted)) (or (not (tptp.c1_1 X120)) (not 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(_let_117 2)) :args ((or _let_115 _let_540))) (REORDERING (CNF_AND_POS :args (_let_117 3)) :args ((or _let_113 _let_540))) (AND_ELIM _let_158 :args (0)) (REORDERING (AND_ELIM _let_158 :args (108)) :args ((or tptp.hskp0 tptp.hskp16 tptp.hskp29))) _let_481 _let_480 _let_368 _let_305 _let_190 _let_186 _let_285 _let_284 _let_282 _let_281 :args ((or tptp.hskp16 tptp.hskp24 _let_419 _let_539 _let_538 _let_537) false _let_505 false _let_503 true _let_506 true _let_536 true _let_535 true _let_534 false _let_532 false _let_213 false _let_529 false _let_528 false _let_525 false _let_524 false _let_523 false _let_227 false _let_425 false tptp.ndr1_0 true _let_426 true _let_427 true _let_428 false _let_13 false tptp.hskp28 true tptp.hskp9 true _let_80 false _let_322 false _let_323 false _let_351 false tptp.ndr1_0 true _let_315 true _let_316 true _let_319 false _let_521 false _let_519 false _let_53 false _let_211 false tptp.hskp14 false tptp.ndr1_0 false _let_212 false tptp.ndr1_0 true _let_320 true _let_214 true _let_218 true tptp.hskp19 true _let_513 true _let_31 false _let_417 false _let_250 false _let_414 true _let_416 false _let_172 false _let_64 true _let_511 false (forall ((X62 $$unsorted)) (or (tptp.c0_1 X62) (not (tptp.c1_1 X62)) (not (tptp.c2_1 X62)))) false tptp.ndr1_0 false tptp.hskp12 true _let_510 true tptp.hskp26 true _let_509 true _let_19 false _let_499 false _let_507 false _let_502 false _let_500 false _let_433 false _let_434 false tptp.ndr1_0 true (forall ((X64 $$unsorted)) (or (tptp.c2_1 X64) (not (tptp.c0_1 X64)) (not (tptp.c1_1 X64)))) true _let_448 true _let_447 true _let_497 false _let_134 true _let_491 true _let_198 false _let_116 true _let_114 true _let_112 false _let_117 false tptp.hskp0 true tptp.hskp29 true _let_8 true _let_350 true _let_133 false _let_132 false _let_134 true tptp.hskp30 true _let_4 false _let_128 false _let_123)) _let_490 _let_201 _let_450 _let_199 _let_331 _let_465 _let_336 _let_305 _let_191 _let_354 _let_285 _let_359 _let_284 _let_355 _let_282 _let_281 _let_489 _let_488 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_484 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 X7) true))))) :args _let_482)) _let_486 _let_485 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_202 (= X7 X99)))) (REORDERING (AND_ELIM _let_158 :args (85)) :args ((or tptp.hskp15 tptp.hskp29 _let_271 _let_411))) _let_160 (MACRO_RESOLUTION_TRUST _let_481 _let_480 :args (_let_9 true _let_8)) (AND_ELIM _let_158 :args (15)) (MACRO_RESOLUTION_TRUST _let_266 _let_264 _let_256 _let_262 _let_261 _let_252 _let_282 _let_284 _let_285 _let_305 _let_191 _let_465 (MACRO_RESOLUTION_TRUST _let_463 _let_160 _let_462 _let_460 _let_459 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_455 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_454)) :args _let_453)) _let_452 (REORDERING (CNF_OR_POS :args (_let_446)) :args ((or _let_196 _let_195 _let_421 (not _let_446)))) _let_451 _let_201 _let_450 _let_199 :args ((or _let_434 _let_197 _let_449) false tptp.ndr1_0 true _let_419 true _let_448 true _let_198 true _let_447 true _let_422 true _let_446 false _let_420 false _let_192 false _let_194 true _let_196)) _let_445 _let_270 _let_272 _let_444 _let_274 _let_160 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_443 :args (tptp.a700 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_442)) :args _let_441)) _let_278 (REORDERING (CNF_OR_POS :args (_let_432)) :args ((or _let_45 _let_43 _let_430 (not _let_432)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args (tptp.a700 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_279)) :args _let_178)) _let_440 (MACRO_RESOLUTION_TRUST _let_440 (REORDERING (CNF_OR_POS :args (_let_431)) :args ((or _let_45 _let_401 _let_430 _let_439))) _let_438 _let_437 :args ((or _let_436 _let_435 _let_439) true _let_402 true _let_45 false _let_47)) (REORDERING (CNF_AND_POS :args (_let_48 3)) :args ((or _let_44 _let_436))) _let_438 _let_437 :args ((or _let_436 _let_435) true _let_237 false _let_230 false _let_234 true _let_238 true _let_236 true _let_123 true _let_128 false _let_4 false tptp.hskp30 false _let_132 false _let_133 false _let_197 false _let_423 false _let_243 false _let_245 true _let_434 false _let_246 false tptp.ndr1_0 true _let_433 true _let_247 true _let_432 true _let_172 false _let_402 true _let_431 true _let_43 true _let_45 false _let_47)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_362 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_429)) :args _let_360)) _let_363 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_362 :args (tptp.a680 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_361)) :args _let_360)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_362 :args (tptp.a700 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_429)) :args _let_360)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_362 :args (tptp.a681 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_429)) :args _let_360)) :args ((not _let_349) false _let_404 true _let_75 true _let_77 false _let_79 false _let_80 false tptp.hskp9 true tptp.hskp28 true tptp.hskp19 true _let_13 true _let_31 false _let_428 false _let_250 false _let_427 false _let_172 false _let_426 false tptp.ndr1_0 false _let_247 false tptp.ndr1_0 true _let_425 true _let_246 true _let_227 true _let_245 true _let_424 true _let_423 true _let_420 false _let_422 false _let_198 false _let_419 true tptp.hskp16 false _let_192 false _let_194 true _let_196 true _let_42 true _let_197 false _let_311 true _let_133 false _let_132 false _let_312 true tptp.hskp30 false _let_344 true _let_4 false _let_347 false _let_128 false _let_123 true tptp.hskp24 true _let_25 false _let_418 false _let_205 false _let_413 false _let_202 false _let_411 false tptp.ndr1_0 true tptp.hskp29 true tptp.hskp15 true _let_48 false _let_410 false _let_348 false _let_405 false _let_403 false _let_400)))) (let ((_let_604 (MACRO_RESOLUTION_TRUST _let_367 _let_603 :args ((not _let_207) true _let_349)))) (let ((_let_605 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_573 :args (tptp.a688 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_572)) :args _let_571)))) (let ((_let_606 (not _let_221))) (let ((_let_607 (not _let_58))) (let ((_let_608 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_221)) :args ((or _let_54 _let_220 _let_219 _let_606))) (REORDERING (CNF_AND_POS :args (_let_58 3)) :args ((or _let_55 _let_607))) (REORDERING (CNF_AND_POS :args (_let_58 2)) :args ((or _let_56 _let_607))) (REORDERING (CNF_AND_POS :args (_let_58 1)) :args ((or _let_57 _let_607))) :args ((or _let_607 _let_606) true _let_54 false _let_56 false _let_57)))) (let ((_let_609 (AND_ELIM _let_158 :args (13)))) (let ((_let_610 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_323 (= Z X100)))))) (let ((_let_611 (AND_ELIM _let_158 :args (86)))) (let ((_let_612 (MACRO_RESOLUTION_TRUST _let_611 _let_160 _let_610 _let_609 _let_380 _let_608 _let_387 _let_605 _let_389 _let_575 _let_388 _let_160 _let_604 _let_397 _let_160 _let_381 _let_396 _let_378 _let_395 _let_374 _let_392 _let_369 _let_160 _let_390 _let_366 (MACRO_RESOLUTION_TRUST _let_389 _let_388 _let_160 _let_387 _let_381 _let_380 _let_378 _let_375 _let_374 _let_370 _let_160 _let_369 _let_160 _let_368 _let_296 _let_298 _let_159 (AND_ELIM _let_158 :args (43)) _let_160 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_213 (= X13 X16)))) _let_367 _let_366 _let_363 _let_337 _let_359 _let_332 _let_355 _let_326 _let_354 :args ((or _let_38 _let_312 _let_315 _let_307 _let_306 _let_129) false tptp.hskp9 false tptp.ndr1_0 true _let_80 true tptp.hskp8 false _let_322 true _let_85 false _let_323 false _let_210 false _let_351 false tptp.ndr1_0 false _let_211 false tptp.ndr1_0 true _let_350 true _let_133 true _let_288 false _let_69 false tptp.hskp11 false tptp.ndr1_0 true (forall ((X16 $$unsorted)) (or (tptp.c0_1 X16) (tptp.c1_1 X16) (not (tptp.c3_1 X16)))) true _let_207 true _let_213 true _let_349 true _let_313 true _let_348 true _let_308 false _let_347 false _let_310 true _let_344)) _let_338 _let_337 _let_336 _let_332 _let_331 _let_329 _let_328 _let_327 _let_326 _let_305 _let_190 _let_186 _let_285 _let_284 _let_282 _let_281 :args ((or tptp.hskp24 _let_325) false tptp.ndr1_0 true _let_324 true tptp.hskp13 true _let_323 true _let_58 true _let_322 false _let_221 false _let_80 false _let_218 false tptp.hskp9 false tptp.ndr1_0 true _let_207 false _let_320 false tptp.ndr1_0 true tptp.hskp8 true tptp.hskp14 true _let_85 true _let_53 false _let_210 false _let_319 false _let_211 false tptp.ndr1_0 false _let_316 true _let_213 false _let_315 true _let_314 true _let_313 true _let_312 true _let_308 true _let_311 true _let_38 false _let_40 false _let_41 false _let_310 true _let_133 false _let_132 false _let_134 true tptp.hskp30 true _let_4 false _let_128 false _let_123)))) (let ((_let_613 (not _let_110))) (let ((_let_614 (tptp.c3_1 tptp.a669))) (let ((_let_615 (or _let_108 _let_614 _let_613))) (let ((_let_616 (or _let_404 _let_75 _let_321))) (let ((_let_617 (forall ((X49 $$unsorted)) (or (tptp.c0_1 X49) (tptp.c3_1 X49) (not (tptp.c2_1 X49)))))) (let ((_let_618 (forall ((X54 $$unsorted)) (or (tptp.c0_1 X54) (tptp.c3_1 X54) (not (tptp.c2_1 X54)))))) (let ((_let_619 (not _let_614))) (let ((_let_620 (or _let_108 _let_106 _let_619))) (let ((_let_621 (or _let_108 _let_613 _let_619))) (let ((_let_622 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_623 (not _let_622))) (let ((_let_624 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_625 (not _let_624))) (let ((_let_626 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_627 (or _let_626 _let_625 _let_623))) (let ((_let_628 (not _let_626))) (let ((_let_629 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_630 (or _let_629 _let_628 _let_625))) (let ((_let_631 (or _let_70 _let_398 _let_543))) (let ((_let_632 (or _let_629 _let_625 _let_623))) (let ((_let_633 (not _let_88))) (let ((_let_634 (not _let_89))) (let ((_let_635 (or _let_86 _let_634 _let_633))) (let ((_let_636 (forall ((X25 $$unsorted)) (or (tptp.c0_1 X25) (tptp.c2_1 X25) (tptp.c3_1 X25))))) (let ((_let_637 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_458 :args (tptp.a678 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_457)) :args _let_456)))) (let ((_let_638 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_349 (= X2 X4)))) _let_603 :args ((not _let_226) true _let_349)))) (let ((_let_639 (AND_ELIM _let_158 :args (37)))) (let ((_let_640 (AND_ELIM _let_158 :args (5)))) (let ((_let_641 (not _let_225))) (let ((_let_642 (not _let_97))) (let ((_let_643 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_225)) :args ((or _let_95 _let_93 _let_91 _let_641))) (REORDERING (CNF_AND_POS :args (_let_97 3)) :args ((or _let_92 _let_642))) (REORDERING (CNF_AND_POS :args (_let_97 2)) :args ((or _let_94 _let_642))) (REORDERING (CNF_AND_POS :args (_let_97 1)) :args ((or _let_96 _let_642))) :args ((or _let_642 _let_641) true _let_91 true _let_93 true _let_95)))) (let ((_let_644 (_let_223))) (let ((_let_645 ((not (= (tptp.c0_1 X23) true))))) (let ((_let_646 (ASSUME :args _let_644))) (let ((_let_647 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_646 :args (tptp.a673 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_645)) :args _let_644)))) (let ((_let_648 (not _let_635))) (let ((_let_649 (not _let_90))) (let ((_let_650 (REORDERING (CNF_OR_POS :args (_let_122)) :args ((or _let_120 _let_119 _let_121 (not _let_122)))))) (let ((_let_651 (MACRO_RESOLUTION_TRUST _let_650 _let_304 _let_191 _let_303 _let_302 _let_299 (REORDERING (AND_ELIM _let_158 :args (47)) :args ((or tptp.hskp7 tptp.hskp28 _let_271 _let_636))) _let_160 (AND_ELIM _let_158 :args (7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_635)) :args ((or _let_86 _let_634 _let_633 _let_648))) (REORDERING (CNF_AND_POS :args (_let_90 3)) :args ((or _let_87 _let_649))) (REORDERING (CNF_AND_POS :args (_let_90 2)) :args ((or _let_88 _let_649))) (REORDERING (CNF_AND_POS :args (_let_90 1)) :args ((or _let_89 _let_649))) :args ((or _let_649 _let_648) true _let_86 false _let_88 false _let_89)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_223 (= X23 X25)))) _let_647 _let_643 _let_640 _let_639 _let_160 _let_638 _let_601 _let_600 _let_452 _let_459 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_458 :args (tptp.a675 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_457)) :args _let_456)) _let_637 :args ((or _let_541 _let_196 _let_193) true _let_121 false _let_132 false _let_10 false _let_11 false _let_13 false tptp.hskp28 false tptp.ndr1_0 true tptp.hskp7 true _let_90 true _let_636 true _let_223 true _let_225 false _let_97 false tptp.hskp5 false tptp.ndr1_0 true _let_226 true _let_227 true _let_424 true _let_420 false _let_422 false _let_635 false _let_122)))) (let ((_let_652 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_349 (= X2 X6)))))) (let ((_let_653 (AND_ELIM _let_158 :args (38)))) (let ((_let_654 (_let_617))) (let ((_let_655 (not _let_111))) (let ((_let_656 (not _let_145))) (let ((_let_657 (_let_656))) (let ((_let_658 (REFL :args (_let_632)))) (let ((_let_659 (not _let_224))) (let ((_let_660 (not _let_217))) (let ((_let_661 (not _let_104))) (let ((_let_662 (not _let_37))) (let ((_let_663 (MACRO_RESOLUTION_TRUST _let_653 _let_160 (MACRO_RESOLUTION_TRUST _let_652 _let_603 :args ((not _let_203) true _let_349)) (MACRO_RESOLUTION_TRUST _let_486 (MACRO_RESOLUTION_TRUST _let_488 (MACRO_RESOLUTION_TRUST _let_489 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_229)) :args ((or _let_34 _let_32 _let_228 (not _let_229)))) (REORDERING (CNF_AND_POS :args (_let_37 3)) :args ((or _let_33 _let_662))) (REORDERING (CNF_AND_POS :args (_let_37 2)) :args ((or _let_35 _let_662))) (REORDERING (CNF_AND_POS :args (_let_37 1)) :args ((or _let_36 _let_662))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_584 :args (tptp.a708 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_583)) :args _let_582)) (AND_ELIM _let_158 :args (18)) _let_639 _let_160 _let_638 (REORDERING (AND_ELIM _let_158 :args (107)) :args ((or tptp.hskp4 tptp.hskp18 tptp.hskp24))) _let_640 (AND_ELIM _let_158 :args (4)) _let_643 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_224)) :args ((or _let_102 _let_98 _let_215 _let_659))) (REORDERING (CNF_OR_POS :args (_let_217)) :args ((or _let_102 _let_100 _let_216 _let_660))) (REORDERING (CNF_AND_POS :args (_let_104 3)) :args ((or _let_99 _let_661))) (REORDERING (CNF_AND_POS :args (_let_104 2)) :args ((or _let_101 _let_661))) (REORDERING (CNF_AND_POS :args (_let_104 1)) :args ((or _let_103 _let_661))) :args ((or _let_661 _let_660 _let_659) true _let_215 true _let_98 true _let_100 true _let_102)) _let_647 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_646 :args (tptp.a672 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_645)) :args _let_644)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_223 (= X23 X26)))) (REORDERING (AND_ELIM _let_158 :args (48)) :args ((or tptp.hskp9 tptp.hskp13 _let_271 _let_222))) _let_160 _let_609 _let_608 _let_605 _let_574 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_365 :args (tptp.a672 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_593)) :args _let_364)) _let_576 _let_160 _let_369 _let_160 _let_577 _let_374 _let_378 _let_381 _let_388 _let_160 _let_604 _let_389 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_627)) :args ((or _let_625 _let_623 _let_626 (not _let_627)))) (REORDERING (CNF_OR_POS :args (_let_630)) :args ((or _let_629 _let_625 _let_628 (not _let_630)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_632 2)) (CONG _let_658 (MACRO_SR_PRED_INTRO :args ((= (not _let_623) _let_622))) :args _let_147)) :args ((or _let_622 _let_632))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_632 1)) (CONG _let_658 (MACRO_SR_PRED_INTRO :args ((= (not _let_625) _let_624))) :args _let_147)) :args ((or _let_624 _let_632))) (CNF_OR_NEG :args (_let_632 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_657)) :args _let_657)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_656) _let_145))) (REFL :args ((not _let_632))) :args _let_147)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args (tptp.a681 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_184)) :args _let_183)) (REORDERING (CNF_OR_POS :args (_let_631)) :args ((or _let_70 _let_398 _let_543 (not _let_631)))) _let_565 _let_564 _let_563 _let_561 _let_560 _let_160 _let_299 _let_559 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_279)) :args _let_178)) _let_557 _let_278 _let_579 _let_274 _let_160 _let_580 _let_160 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_335 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_334)) :args _let_333)) _let_272 _let_581 _let_338 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_269 :args (tptp.a669 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_268)) :args _let_267)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_584 :args (tptp.a669 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_583)) :args _let_582)) _let_611 _let_160 (REORDERING (CNF_OR_POS :args (_let_621)) :args ((or _let_108 _let_613 _let_619 (not _let_621)))) (REORDERING (CNF_OR_POS :args (_let_620)) :args ((or _let_108 _let_106 _let_619 (not _let_620)))) _let_609 (REORDERING (CNF_OR_POS :args (_let_615)) :args ((or _let_108 _let_613 _let_614 (not _let_615)))) _let_608 (REORDERING (CNF_AND_POS :args (_let_111 3)) :args ((or _let_107 _let_655))) (REORDERING (CNF_AND_POS :args (_let_111 2)) :args ((or _let_109 _let_655))) (REORDERING (CNF_AND_POS :args (_let_111 1)) :args ((or _let_110 _let_655))) _let_605 (AND_ELIM _let_158 :args (1)) _let_575 (REORDERING (AND_ELIM _let_158 :args (60)) :args ((or tptp.hskp1 tptp.hskp14 _let_271 _let_618))) _let_160 _let_397 _let_160 _let_396 _let_395 _let_392 _let_390 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_617 (= X49 X54)))) _let_370 _let_160 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_654) :args (tptp.a680 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 X49) true))))) :args _let_654)) _let_375 _let_610 (REORDERING (CNF_OR_POS :args (_let_616)) :args ((or _let_75 _let_321 _let_404 (not _let_616)))) _let_380 _let_602 _let_387 _let_386 _let_385 _let_384 _let_485 _let_368 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_484 :args (tptp.a669 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_482)) _let_653 _let_652 _let_603 _let_160 _let_490 _let_612 _let_542 _let_651 _let_199 _let_201 _let_465 _let_305 _let_190 _let_186 _let_285 _let_284 _let_282 _let_281 :args ((or tptp.hskp24 _let_383) true _let_626 false _let_622 false _let_624 true _let_629 true _let_632 true _let_145 true _let_631 true _let_70 false _let_72 false _let_73 false _let_74 false tptp.hskp10 false tptp.ndr1_0 true tptp.hskp28 true _let_13 false _let_630 false _let_428 false _let_172 false _let_427 false _let_247 false tptp.ndr1_0 false _let_426 false tptp.ndr1_0 false _let_627 true _let_246 true _let_425 false _let_312 true _let_245 true _let_227 false _let_314 false tptp.ndr1_0 true _let_621 true _let_620 true tptp.hskp13 false _let_614 true _let_58 true _let_106 true _let_108 false _let_110 false _let_221 false _let_111 false _let_218 false tptp.hskp1 false tptp.ndr1_0 false _let_320 false tptp.ndr1_0 true tptp.hskp14 true _let_53 false _let_319 false _let_316 true _let_618 false _let_315 false tptp.ndr1_0 true _let_617 true _let_351 true _let_324 true _let_616 true _let_323 true _let_404 true _let_322 true _let_75 true _let_77 false _let_79 false _let_413 true _let_350 false _let_615 false _let_202 true _let_203 true _let_349 false tptp.ndr1_0 true tptp.hskp16 true _let_42 true _let_491 true _let_198 true _let_196 false _let_192 true _let_197 true _let_133 false _let_132 false _let_134 true tptp.hskp30 true _let_4 false _let_128 false _let_123)) _let_490 _let_612 _let_305 _let_191 _let_285 _let_284 _let_282 _let_281 :args (tptp.hskp24 true _let_32 true _let_34 false _let_36 false _let_229 false _let_37 false _let_227 false tptp.ndr1_0 true _let_226 false tptp.hskp18 true tptp.hskp5 true tptp.hskp4 true _let_97 true _let_104 false _let_225 false _let_224 false _let_223 false _let_222 false tptp.ndr1_0 true tptp.hskp13 true _let_58 false _let_221 false _let_218 false _let_217 false _let_214 false tptp.ndr1_0 false _let_213 false tptp.ndr1_0 true _let_212 true _let_211 true _let_210 false _let_85 false tptp.hskp8 false tptp.ndr1_0 true _let_207 true tptp.hskp9 true _let_80 true tptp.hskp16 true _let_42 true _let_133 false _let_132 true tptp.hskp30 true _let_4 false _let_128 false _let_123)) :args (_let_25 false tptp.hskp24)) :args (_let_206 false _let_25)) :args ((not _let_202) true _let_205)) :args (_let_198 false tptp.ndr1_0 true _let_203 true _let_202)))) (let ((_let_664 (MACRO_RESOLUTION_TRUST _let_299 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_158 :args (39)) _let_160 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_349 (= X2 X9)))) _let_603 :args ((not _let_124) true _let_349)) (MACRO_RESOLUTION_TRUST _let_282 (MACRO_RESOLUTION_TRUST _let_284 (MACRO_RESOLUTION_TRUST _let_285 (MACRO_RESOLUTION_TRUST _let_305 (MACRO_RESOLUTION_TRUST _let_465 (MACRO_RESOLUTION_TRUST _let_651 _let_663 _let_201 _let_199 :args (_let_197 false _let_198 false _let_192 true _let_196)) :args (_let_133 false _let_197)) _let_191 :args (tptp.hskp30 false _let_133 false _let_132)) :args (_let_4 false tptp.hskp30)) :args (_let_130 false _let_4)) :args (_let_129 true _let_128)) :args (tptp.hskp28 false tptp.ndr1_0 true _let_124 true _let_123)) :args (_let_13 false tptp.hskp28)))) (let ((_let_665 (MACRO_RESOLUTION_TRUST _let_303 _let_664 :args (_let_10 false _let_13)))) (let ((_let_666 (MACRO_RESOLUTION_TRUST _let_302 _let_664 :args (_let_11 false _let_13)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_650 (MACRO_RESOLUTION_TRUST _let_304 _let_666 _let_665 _let_191 :args (_let_131 false _let_11 false _let_10 false _let_132)) _let_666 (MACRO_RESOLUTION_TRUST _let_637 _let_663 :args (_let_122 false _let_198)) _let_665 :args (false true _let_121 false _let_11 false _let_122 false _let_10)) :args (_let_118 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.72 )
% 0.20/0.72 % SZS output end Proof for SYN511+1
% 0.20/0.72 % cvc5---1.0.5 exiting
% 0.20/0.73 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------