TSTP Solution File: PRO006+1 by cvc5---1.0.5

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PRO006+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : Thu Aug 31 13:06:18 EDT 2023

% Result   : Theorem 63.63s 63.80s
% Output   : Proof 63.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : PRO006+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Aug 28 19:11:59 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 63.63/63.80  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.zDGb94TcWk/cvc5---1.0.5_27281.p...
% 63.63/63.80  ------- get file name : TPTP file name is PRO006+1
% 63.63/63.80  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27281.smt2...
% 63.63/63.80  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 63.63/63.80  --- Run --no-e-matching --full-saturate-quant at 5...
% 63.63/63.80  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 63.63/63.80  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 63.63/63.80  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 63.63/63.80  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 63.63/63.80  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 63.63/63.80  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 63.63/63.80  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 63.63/63.80  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 63.63/63.80  --- Run --relevant-triggers --full-saturate-quant at 5...
% 63.63/63.80  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 63.63/63.80  % SZS status Theorem for PRO006+1
% 63.63/63.80  % SZS output start Proof for PRO006+1
% 63.63/63.80  (
% 63.63/63.80  (let ((_let_1 (not (not (exists ((X111 $$unsorted)) (tptp.occurrence_of X111 tptp.tptp0)))))) (let ((_let_2 (forall ((X108 $$unsorted) (X109 $$unsorted)) (=> (and (tptp.occurrence_of X109 tptp.tptp0) (tptp.subactivity_occurrence X108 X109) (tptp.arboreal X108) (not (tptp.leaf_occ X108 X109))) (exists ((X110 $$unsorted)) (and (tptp.occurrence_of X110 tptp.tptp1) (tptp.next_subocc X108 X110 tptp.tptp0))))))) (let ((_let_3 (not (= tptp.tptp1 tptp.tptp3)))) (let ((_let_4 (tptp.atomic tptp.tptp1))) (let ((_let_5 (tptp.atomic tptp.tptp3))) (let ((_let_6 (tptp.atomic tptp.tptp4))) (let ((_let_7 (tptp.atomic tptp.tptp0))) (let ((_let_8 (not _let_7))) (let ((_let_9 (forall ((X105 $$unsorted)) (=> (tptp.occurrence_of X105 tptp.tptp0) (exists ((X106 $$unsorted) (X107 $$unsorted)) (and (tptp.occurrence_of X106 tptp.tptp4) (tptp.root_occ X106 X105) (tptp.occurrence_of X107 tptp.tptp3) (tptp.leaf_occ X107 X105) (tptp.next_subocc X106 X107 tptp.tptp0))))))) (let ((_let_10 (forall ((X102 $$unsorted) (X103 $$unsorted)) (= (tptp.leaf_occ X102 X103) (exists ((X104 $$unsorted)) (and (tptp.occurrence_of X103 X104) (tptp.subactivity_occurrence X102 X103) (tptp.leaf X102 X104))))))) (let ((_let_11 (forall ((X99 $$unsorted) (X100 $$unsorted)) (= (tptp.root_occ X99 X100) (exists ((X101 $$unsorted)) (and (tptp.occurrence_of X100 X101) (tptp.subactivity_occurrence X99 X100) (tptp.root X99 X101))))))) (let ((_let_12 (forall ((X79 $$unsorted) (X80 $$unsorted) (X81 $$unsorted) (X82 $$unsorted)) (=> (and (tptp.occurrence_of X80 X79) (tptp.arboreal X81) (tptp.arboreal X82) (tptp.subactivity_occurrence X81 X80) (tptp.subactivity_occurrence X82 X80)) (or (tptp.min_precedes X81 X82 X79) (tptp.min_precedes X82 X81 X79) (= X81 X82)))))) (let ((_let_13 (forall ((X76 $$unsorted) (X77 $$unsorted)) (=> (and (tptp.occurrence_of X77 X76) (not (tptp.atomic X76))) (exists ((X78 $$unsorted)) (and (tptp.root X78 X76) (tptp.subactivity_occurrence X78 X77))))))) (let ((_let_14 (forall ((X69 $$unsorted) (X70 $$unsorted) (X71 $$unsorted)) (=> (tptp.min_precedes X70 X71 X69) (exists ((X72 $$unsorted)) (and (tptp.occurrence_of X72 X69) (tptp.subactivity_occurrence X70 X72) (tptp.subactivity_occurrence X71 X72))))))) (let ((_let_15 (forall ((X60 $$unsorted) (X61 $$unsorted) (X62 $$unsorted)) (= (tptp.next_subocc X60 X61 X62) (and (tptp.min_precedes X60 X61 X62) (not (exists ((X63 $$unsorted)) (and (tptp.min_precedes X60 X63 X62) (tptp.min_precedes X63 X61 X62))))))))) (let ((_let_16 (forall ((X56 $$unsorted) (X57 $$unsorted)) (= (tptp.leaf X56 X57) (and (or (tptp.root X56 X57) (exists ((X58 $$unsorted)) (tptp.min_precedes X58 X56 X57))) (not (exists ((X59 $$unsorted)) (tptp.min_precedes X56 X59 X57)))))))) (let ((_let_17 (forall ((X41 $$unsorted) (X42 $$unsorted)) (=> (tptp.root X41 X42) (tptp.legal X41))))) (let ((_let_18 (forall ((X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted)) (=> (tptp.min_precedes X35 X36 X37) (not (tptp.root X36 X37)))))) (let ((_let_19 (forall ((X18 $$unsorted)) (=> (tptp.legal X18) (tptp.arboreal X18))))) (let ((_let_20 (forall ((X16 $$unsorted) (X17 $$unsorted)) (=> (tptp.occurrence_of X16 X17) (= (tptp.arboreal X16) (tptp.atomic X17)))))) (let ((_let_21 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (=> (and (tptp.occurrence_of X4 X5) (tptp.occurrence_of X4 X6)) (= X5 X6))))) (let ((_let_22 (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_172 tptp.tptp0))) (let ((_let_23 (= tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_222))) (let ((_let_24 (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_172 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_222))) (let ((_let_25 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_172))) (let ((_let_26 (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_172 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 tptp.tptp0))) (let ((_let_27 (io_tptp.subactivity_occurrence_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_172 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_147))) (let ((_let_28 (not _let_27))) (let ((_let_29 (io_tptp.subactivity_occurrence_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_147))) (let ((_let_30 (not _let_29))) (let ((_let_31 (io_tptp.arboreal_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_172))) (let ((_let_32 (not _let_31))) (let ((_let_33 (io_tptp.arboreal_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93))) (let ((_let_34 (not _let_33))) (let ((_let_35 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_147 tptp.tptp0))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_34 _let_32 _let_30 _let_28 _let_22 _let_26 _let_25))) (let ((_let_38 (forall ((X79 $$unsorted) (b_X80 it_3_$$unsorted) (b_X81 it_3_$$unsorted) (b_X82 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X80 X79)) (not (io_tptp.arboreal_5 b_X81)) (not (io_tptp.arboreal_5 b_X82)) (not (io_tptp.subactivity_occurrence_13 b_X81 b_X80)) (not (io_tptp.subactivity_occurrence_13 b_X82 b_X80)) (io_tptp.min_precedes_8 b_X81 b_X82 X79) (io_tptp.min_precedes_8 b_X82 b_X81 X79) (= b_X81 b_X82))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_12)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X79 $$unsorted) (X80 $$unsorted) (X81 $$unsorted) (X82 $$unsorted)) (or (not (tptp.occurrence_of X80 X79)) (not (tptp.arboreal X81)) (not (tptp.arboreal X82)) (not (tptp.subactivity_occurrence X81 X80)) (not (tptp.subactivity_occurrence X82 X80)) (tptp.min_precedes X81 X82 X79) (tptp.min_precedes X82 X81 X79) (= X81 X82))) _let_38))))))) (let ((_let_40 (_let_38))) (let ((_let_41 (not (= (io_tptp.subactivity_occurrence_13 b_X81 b_X80) false)))) (let ((_let_42 (forall ((X101 $$unsorted)) (or (not (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_147 X101)) (not (io_tptp.root_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_172 X101)))))) (let ((_let_43 (not _let_42))) (let ((_let_44 (and _let_27 _let_43))) (let ((_let_45 (io_tptp.root_occ_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_172 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_147))) (let ((_let_46 (= _let_45 _let_44))) (let ((_let_47 (forall ((b_X99 it_3_$$unsorted) (b_X100 it_3_$$unsorted)) (= (io_tptp.root_occ_14 b_X99 b_X100) (and (io_tptp.subactivity_occurrence_13 b_X99 b_X100) (not (forall ((X101 $$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X100 X101)) (not (io_tptp.root_10 b_X99 X101)))))))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_11)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X99 $$unsorted) (X100 $$unsorted)) (= (tptp.root_occ X99 X100) (and (tptp.subactivity_occurrence X99 X100) (not (forall ((X101 $$unsorted)) (or (not (tptp.occurrence_of X100 X101)) (not (tptp.root X99 X101)))))))) _let_47))))))) (let ((_let_49 (_let_47))) (let ((_let_50 (io_tptp.next_subocc_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_172 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_173 tptp.tptp0))) (let ((_let_51 (not _let_50))) (let ((_let_52 (io_tptp.leaf_occ_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_173 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_147))) (let ((_let_53 (not _let_52))) (let ((_let_54 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_173 tptp.tptp3))) (let ((_let_55 (not _let_54))) (let ((_let_56 (not _let_45))) (let ((_let_57 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_172 tptp.tptp4))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56 _let_55 _let_53 _let_51))) (let ((_let_60 (forall ((b_X106 it_3_$$unsorted) (b_X107 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X106 tptp.tptp4)) (not (io_tptp.root_occ_14 b_X106 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_147)) (not (io_tptp.occurrence_of_2 b_X107 tptp.tptp3)) (not (io_tptp.leaf_occ_15 b_X107 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_147)) (not (io_tptp.next_subocc_12 b_X106 b_X107 tptp.tptp0)))))) (let ((_let_61 (not _let_59))) (let ((_let_62 (not _let_60))) (let ((_let_63 (or _let_36 _let_62))) (let ((_let_64 (forall ((b_X105 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X105 tptp.tptp0)) (not (forall ((b_X106 it_3_$$unsorted) (b_X107 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X106 tptp.tptp4)) (not (io_tptp.root_occ_14 b_X106 b_X105)) (not (io_tptp.occurrence_of_2 b_X107 tptp.tptp3)) (not (io_tptp.leaf_occ_15 b_X107 b_X105)) (not (io_tptp.next_subocc_12 b_X106 b_X107 tptp.tptp0))))))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_9)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X105 $$unsorted)) (or (not (tptp.occurrence_of X105 tptp.tptp0)) (not (forall ((X106 $$unsorted) (X107 $$unsorted)) (or (not (tptp.occurrence_of X106 tptp.tptp4)) (not (tptp.root_occ X106 X105)) (not (tptp.occurrence_of X107 tptp.tptp3)) (not (tptp.leaf_occ X107 X105)) (not (tptp.next_subocc X106 X107 tptp.tptp0))))))) _let_64))))))) (let ((_let_66 (_let_64))) (let ((_let_67 ((not (= (io_tptp.occurrence_of_2 b_X105 tptp.tptp0) false))))) (let ((_let_68 (or _let_36 (not (io_tptp.subactivity_occurrence_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_147)) _let_30))) (let ((_let_69 (forall ((b_X72 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X72 tptp.tptp0)) (not (io_tptp.subactivity_occurrence_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 b_X72)) (not (io_tptp.subactivity_occurrence_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 b_X72)))))) (let ((_let_70 (not _let_68))) (let ((_let_71 (not _let_69))) (let ((_let_72 (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 tptp.tptp0))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_71))) (let ((_let_75 (forall ((X69 $$unsorted) (b_X70 it_3_$$unsorted) (b_X71 it_3_$$unsorted)) (or (not (io_tptp.min_precedes_8 b_X70 b_X71 X69)) (not (forall ((b_X72 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X72 X69)) (not (io_tptp.subactivity_occurrence_13 b_X70 b_X72)) (not (io_tptp.subactivity_occurrence_13 b_X71 b_X72))))))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_14)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X69 $$unsorted) (X70 $$unsorted) (X71 $$unsorted)) (or (not (tptp.min_precedes X70 X71 X69)) (not (forall ((X72 $$unsorted)) (or (not (tptp.occurrence_of X72 X69)) (not (tptp.subactivity_occurrence X70 X72)) (not (tptp.subactivity_occurrence X71 X72))))))) _let_75))))))) (let ((_let_77 (and _let_72 (forall ((b_X63 it_3_$$unsorted)) (or (not (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 b_X63 tptp.tptp0)) (not (io_tptp.min_precedes_8 b_X63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 tptp.tptp0))))))) (let ((_let_78 (io_tptp.next_subocc_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 tptp.tptp0))) (let ((_let_79 (= _let_78 _let_77))) (let ((_let_80 (forall ((b_X60 it_3_$$unsorted) (b_X61 it_3_$$unsorted) (X62 $$unsorted)) (= (io_tptp.next_subocc_12 b_X60 b_X61 X62) (and (io_tptp.min_precedes_8 b_X60 b_X61 X62) (forall ((b_X63 it_3_$$unsorted)) (or (not (io_tptp.min_precedes_8 b_X60 b_X63 X62)) (not (io_tptp.min_precedes_8 b_X63 b_X61 X62))))))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_15)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X60 $$unsorted) (X61 $$unsorted) (X62 $$unsorted)) (= (tptp.next_subocc X60 X61 X62) (and (tptp.min_precedes X60 X61 X62) (forall ((X63 $$unsorted)) (or (not (tptp.min_precedes X60 X63 X62)) (not (tptp.min_precedes X63 X61 X62))))))) _let_80))))))) (let ((_let_82 (_let_80))) (let ((_let_83 ((io_tptp.next_subocc_12 b_X60 b_X61 X62)))) (let ((_let_84 (not _let_78))) (let ((_let_85 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 tptp.tptp1))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_86 _let_84))) (let ((_let_88 (forall ((b_X110 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X110 tptp.tptp1)) (not (io_tptp.next_subocc_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 b_X110 tptp.tptp0)))))) (let ((_let_89 (not _let_87))) (let ((_let_90 (not _let_88))) (let ((_let_91 (io_tptp.leaf_occ_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_92 (io_tptp.arboreal_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62))) (let ((_let_93 (not _let_92))) (let ((_let_94 (io_tptp.subactivity_occurrence_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_95 (not _let_94))) (let ((_let_96 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 tptp.tptp0))) (let ((_let_97 (not _let_96))) (let ((_let_98 (or _let_97 _let_95 _let_93 _let_91 _let_90))) (let ((_let_99 (forall ((b_X108 it_3_$$unsorted) (b_X109 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X109 tptp.tptp0)) (not (io_tptp.subactivity_occurrence_13 b_X108 b_X109)) (not (io_tptp.arboreal_5 b_X108)) (io_tptp.leaf_occ_15 b_X108 b_X109) (not (forall ((b_X110 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X110 tptp.tptp1)) (not (io_tptp.next_subocc_12 b_X108 b_X110 tptp.tptp0))))))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X108 $$unsorted) (X109 $$unsorted)) (or (not (tptp.occurrence_of X109 tptp.tptp0)) (not (tptp.subactivity_occurrence X108 X109)) (not (tptp.arboreal X108)) (tptp.leaf_occ X108 X109) (not (forall ((X110 $$unsorted)) (or (not (tptp.occurrence_of X110 tptp.tptp1)) (not (tptp.next_subocc X108 X110 tptp.tptp0))))))) _let_99))))))) (let ((_let_101 (io_tptp.legal_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_102 _let_92))) (let ((_let_104 (forall ((b_X18 it_3_$$unsorted)) (or (not (io_tptp.legal_6 b_X18)) (io_tptp.arboreal_5 b_X18))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_19)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X18 $$unsorted)) (or (not (tptp.legal X18)) (tptp.arboreal X18))) _let_104))))))) (let ((_let_106 (io_tptp.root_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 tptp.tptp0))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_107 _let_101))) (let ((_let_109 (forall ((b_X41 it_3_$$unsorted) (X42 $$unsorted)) (or (not (io_tptp.root_10 b_X41 X42)) (io_tptp.legal_6 b_X41))))) (let ((_let_110 (EQ_RESOLVE (ASSUME :args (_let_17)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X41 $$unsorted) (X42 $$unsorted)) (or (not (tptp.root X41 X42)) (tptp.legal X41))) _let_109))))))) (let ((_let_111 (or _let_107 _let_95))) (let ((_let_112 (forall ((b_X78 it_3_$$unsorted)) (or (not (io_tptp.root_10 b_X78 tptp.tptp0)) (not (io_tptp.subactivity_occurrence_13 b_X78 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)))))) (let ((_let_113 (not _let_111))) (let ((_let_114 (not _let_112))) (let ((_let_115 (or _let_97 _let_7 _let_114))) (let ((_let_116 (forall ((X76 $$unsorted) (b_X77 it_3_$$unsorted)) (or (not 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(EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_120) :args (_let_119)) (REWRITE :args ((=> _let_119 (not _let_97)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_119) _let_118))) (REFL :args (_let_96)) :args _let_121)) _let_120 :args (_let_96 true _let_118)))) (let ((_let_123 (_let_114))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_123)) :args _let_123)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_114) _let_112))) (REFL :args (_let_113)) :args _let_121)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_7 _let_97 _let_114 (not _let_115)))) (ASSUME :args (_let_8)) _let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (io_tptp.occurrence_of_2 b_X77 X76) false))))) :args (_let_116))) _let_117 :args (_let_115 false _let_116)) :args (_let_114 true _let_7 false _let_96 false _let_115)) :args (_let_113 true _let_112)))) (let ((_let_125 (REFL :args (_let_111)))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_111 0)) (CONG _let_125 (MACRO_SR_PRED_INTRO :args ((= (not _let_107) _let_106))) :args _let_121)) :args ((or _let_106 _let_111))) _let_124 :args (_let_106 true _let_111)))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_102 _let_92 (not _let_103)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_107 _let_101 (not _let_108)))) _let_126 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (io_tptp.root_10 b_X41 X42) false))))) :args (_let_109))) _let_110 :args (_let_108 false _let_109)) :args (_let_101 false _let_106 false _let_108)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_104))) _let_105 :args (_let_103 false _let_104)) :args (_let_92 false _let_101 false _let_103)))) (let ((_let_128 (forall ((X104 $$unsorted)) (or (not (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 X104)) (not (io_tptp.leaf_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 X104)))))) (let ((_let_129 (not _let_128))) (let ((_let_130 (and _let_94 _let_129))) (let ((_let_131 (= _let_91 _let_130))) (let ((_let_132 (not _let_91))) (let ((_let_133 (forall ((b_X102 it_3_$$unsorted) (b_X103 it_3_$$unsorted)) (= (io_tptp.leaf_occ_15 b_X102 b_X103) (and (io_tptp.subactivity_occurrence_13 b_X102 b_X103) (not (forall ((X104 $$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X103 X104)) (not (io_tptp.leaf_11 b_X102 X104)))))))))) (let ((_let_134 (EQ_RESOLVE (ASSUME :args (_let_10)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X102 $$unsorted) (X103 $$unsorted)) (= 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_let_142 _let_144))) (let ((_let_146 (not _let_142))) (let ((_let_147 (forall ((b_X56 it_3_$$unsorted) (X57 $$unsorted)) (= (io_tptp.leaf_11 b_X56 X57) (and (or (io_tptp.root_10 b_X56 X57) (not (forall ((b_X58 it_3_$$unsorted)) (not (io_tptp.min_precedes_8 b_X58 b_X56 X57))))) (forall ((b_X59 it_3_$$unsorted)) (not (io_tptp.min_precedes_8 b_X56 b_X59 X57)))))))) (let ((_let_148 (EQ_RESOLVE (ASSUME :args (_let_16)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X56 $$unsorted) (X57 $$unsorted)) (= (tptp.leaf X56 X57) (and (or (tptp.root X56 X57) (not (forall ((X58 $$unsorted)) (not (tptp.min_precedes X58 X56 X57))))) (forall ((X59 $$unsorted)) (not (tptp.min_precedes X56 X59 X57)))))) _let_147))))))) (let ((_let_149 (_let_147))) (let ((_let_150 (not _let_144))) (let ((_let_151 (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64 tptp.tptp0))) (let ((_let_152 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64))) (let ((_let_153 (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 tptp.tptp0))) (let ((_let_154 (io_tptp.subactivity_occurrence_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_155 (not _let_154))) (let ((_let_156 (io_tptp.arboreal_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64))) (let ((_let_157 (not _let_156))) (let ((_let_158 (or _let_97 _let_93 _let_157 _let_95 _let_155 _let_151 _let_153 _let_152))) (let ((_let_159 (= tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69))) (let ((_let_160 (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69))) (let ((_let_161 (not _let_153))) (let ((_let_162 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69))) (let ((_let_163 (not _let_162))) (let ((_let_164 (or _let_97 _let_163 _let_159))) (let ((_let_165 (forall ((b_X4 it_3_$$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X4 X5)) (not (io_tptp.occurrence_of_2 b_X4 X6)) (= X5 X6))))) (let ((_let_166 (EQ_RESOLVE (ASSUME :args (_let_21)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (or (not (tptp.occurrence_of X4 X5)) (not (tptp.occurrence_of X4 X6)) (= X5 X6))) _let_165))))))) (let ((_let_167 (_let_165))) (let ((_let_168 (io_tptp.leaf_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69))) (let ((_let_169 (not _let_168))) (let ((_let_170 (or _let_163 _let_169))) (let ((_let_171 (forall ((X104 $$unsorted)) (or (not (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 X104)) (not (io_tptp.leaf_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64 X104)))))) (let ((_let_172 (not _let_170))) (let ((_let_173 (not _let_171))) (let ((_let_174 (and _let_154 _let_173))) (let ((_let_175 (io_tptp.leaf_occ_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_176 (= _let_175 _let_174))) (let ((_let_177 ((io_tptp.leaf_occ_15 b_X102 b_X103)))) (let ((_let_178 (io_tptp.next_subocc_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64 tptp.tptp0))) (let ((_let_179 (not _let_178))) (let ((_let_180 (not _let_175))) (let ((_let_181 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64 tptp.tptp3))) (let ((_let_182 (not _let_181))) (let ((_let_183 (or (not (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 tptp.tptp4)) (not (io_tptp.root_occ_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)) _let_182 _let_180 _let_179))) (let ((_let_184 (forall ((b_X106 it_3_$$unsorted) (b_X107 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X106 tptp.tptp4)) (not (io_tptp.root_occ_14 b_X106 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)) (not (io_tptp.occurrence_of_2 b_X107 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(MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_176)) :args ((or _let_180 _let_174 (not _let_176)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_183 3)) (CONG _let_190 (MACRO_SR_PRED_INTRO :args ((= (not _let_180) _let_175))) :args _let_121)) :args ((or _let_175 _let_183))) _let_189 :args (_let_175 true _let_183)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_177)) :args _let_135)) _let_134 :args (_let_176 false _let_133)) :args (_let_174 false _let_175 false _let_176)))) (let ((_let_192 (not _let_174))) (let ((_let_193 (_let_173))) (let ((_let_194 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_193)) :args _let_193)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_173) _let_171))) (REFL :args (_let_172)) :args _let_121)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_174 1)) :args ((or _let_173 _let_192))) _let_191 :args (_let_173 false _let_174)) :args (_let_172 true _let_171)))) (let ((_let_195 (REFL :args (_let_170)))) (let ((_let_196 (forall ((b_X59 it_3_$$unsorted)) (not (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64 b_X59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69))))) (let ((_let_197 (not _let_160))) (let ((_let_198 (and (or (io_tptp.root_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69) (not (forall ((b_X58 it_3_$$unsorted)) (not (io_tptp.min_precedes_8 b_X58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69))))) _let_196))) (let ((_let_199 (= _let_168 _let_198))) (let ((_let_200 ((io_tptp.leaf_11 b_X56 X57)))) (let ((_let_201 (_let_196))) (let ((_let_202 (not _let_159))) (let ((_let_203 (and _let_159 _let_197))) (let ((_let_204 (ASSUME :args (_let_197)))) (let ((_let_205 (APPLY_UF io_tptp.min_precedes_8))) (let ((_let_206 (ASSUME :args (_let_159)))) (let 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:args (_let_268)) :args _let_121)) :args ((or _let_290 _let_268 _let_266))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_289)) :args ((or _let_36 _let_276 _let_267 (not _let_289)))) _let_242 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_277 0)) (CONG _let_287 (MACRO_SR_PRED_INTRO :args ((= (not _let_276) _let_275))) :args _let_121)) :args ((or _let_275 _let_277))) _let_286 :args (_let_275 true _let_277)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_147 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_188 QUANTIFIERS_INST_CBQI_PROP)) :args _let_167)) _let_166 :args (_let_289 false _let_165)) :args (_let_267 false _let_35 false _let_275 false _let_289)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_288) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_288)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_271 1)) :args ((or _let_269 (not _let_271)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_273)) :args ((or _let_274 _let_271 (not _let_273)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_277 1)) (CONG _let_287 (MACRO_SR_PRED_INTRO :args ((= (not _let_274) _let_272))) :args _let_121)) :args ((or _let_272 _let_277))) _let_286 :args (_let_272 true _let_277)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_173 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_188 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_200)) :args _let_149)) _let_148 :args (_let_273 false _let_147)) :args (_let_271 false _let_272 false _let_273)) :args (_let_269 false _let_271)) :args (_let_270 false _let_269)) :args (_let_268 false _let_267 true _let_266)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_147 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_173 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_40)) _let_39 :args (_let_265 false _let_38)) :args (_let_251 false _let_33 false _let_35 false _let_29 true _let_259 false _let_261 false _let_263 true _let_260 false _let_265)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_258) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_172 b_X63 tptp.tptp0) false))))) :args _let_258)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_256 1)) :args ((or _let_255 (not _let_256)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_257)) :args ((or _let_51 _let_256 (not _let_257)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_59 4)) (CONG _let_245 (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) :args _let_121)) :args ((or _let_50 _let_59))) _let_244 :args (_let_50 true _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_172 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_173 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_82)) _let_81 :args (_let_257 false _let_80)) :args (_let_256 false _let_50 false _let_257)) :args (_let_255 false _let_256)) :args (_let_254 false _let_255)) :args (_let_253 false _let_251 false _let_254)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_249)) :args ((or (not _let_6) _let_31 (not _let_249)))) (ASSUME :args (_let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_250)) :args ((or _let_58 _let_249 (not _let_250)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_59 0)) (CONG _let_245 (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_57))) :args _let_121)) :args ((or _let_57 _let_59))) _let_244 :args (_let_57 true _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_172 tptp.tptp4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_223)) :args _let_222)) _let_221 :args (_let_250 false _let_220)) :args (_let_249 false _let_57 false _let_250)) :args (_let_31 false _let_6 false _let_249)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_44 0)) :args ((or _let_27 _let_248))) _let_247 :args (_let_27 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_147 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_93 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_172 QUANTIFIERS_INST_E_MATCHING ((not (= (io_tptp.min_precedes_8 b_X82 b_X81 X79) true)) _let_41))) :args _let_40)) _let_39 :args (_let_37 false _let_38)) :args (_let_22 false _let_33 false _let_35 false _let_29 true _let_25 true _let_26 false _let_31 false _let_27 false _let_37)) :args (false true _let_24 false _let_23 false _let_22)) :args ((forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.occurrence_of X1 X0) (and (tptp.activity X0) (tptp.activity_occurrence X1)))) (forall ((X2 $$unsorted)) (=> (tptp.activity_occurrence X2) (exists ((X3 $$unsorted)) (and (tptp.activity X3) (tptp.occurrence_of X2 X3))))) _let_21 (forall ((X7 $$unsorted)) (=> (tptp.activity X7) (tptp.subactivity X7 X7))) (forall ((X8 $$unsorted) (X9 $$unsorted)) (=> (tptp.earlier X8 X9) (not (tptp.earlier X9 X8)))) (forall ((X10 $$unsorted) (X11 $$unsorted) (X12 $$unsorted)) (=> (and (tptp.earlier X10 X11) (tptp.earlier X11 X12)) (tptp.earlier X10 X12))) (forall ((X13 $$unsorted) (X14 $$unsorted) (X15 $$unsorted)) (=> (and (tptp.earlier X13 X14) (tptp.earlier X15 X14)) (or (tptp.earlier X15 X13) (tptp.earlier X13 X15) (= X13 X15)))) _let_20 _let_19 (forall ((X19 $$unsorted) (X20 $$unsorted)) (=> (and (tptp.legal X19) (tptp.earlier X20 X19)) (tptp.legal X20))) (forall ((X21 $$unsorted) (X22 $$unsorted)) (= (tptp.precedes X21 X22) (and (tptp.earlier X21 X22) (tptp.legal X22)))) (forall ((X23 $$unsorted) (X24 $$unsorted) (X25 $$unsorted)) (=> (tptp.min_precedes X24 X25 X23) (exists ((X26 $$unsorted) (X27 $$unsorted)) (and (tptp.subactivity X26 X23) (tptp.subactivity X27 X23) (tptp.atocc X24 X26) (tptp.atocc X25 X27))))) (forall ((X28 $$unsorted) (X29 $$unsorted)) (=> (tptp.root X29 X28) (exists ((X30 $$unsorted)) (and (tptp.subactivity X30 X28) (tptp.atocc X29 X30))))) (forall ((X31 $$unsorted) (X32 $$unsorted) (X33 $$unsorted)) (=> (tptp.min_precedes X31 X32 X33) (exists ((X34 $$unsorted)) (and (tptp.root X34 X33) (tptp.min_precedes X34 X32 X33))))) _let_18 (forall ((X38 $$unsorted) (X39 $$unsorted) (X40 $$unsorted)) (=> (tptp.min_precedes X38 X39 X40) (tptp.precedes X38 X39))) _let_17 (forall ((X43 $$unsorted) (X44 $$unsorted)) (=> (and (tptp.atocc X43 X44) (tptp.legal X43)) (tptp.root X43 X44))) (forall ((X45 $$unsorted) (X46 $$unsorted) (X47 $$unsorted) (X48 $$unsorted)) (=> (and (tptp.min_precedes X45 X46 X48) (tptp.min_precedes X45 X47 X48) (tptp.precedes X46 X47)) (tptp.min_precedes X46 X47 X48))) (forall ((X49 $$unsorted) (X50 $$unsorted) (X51 $$unsorted)) (=> (tptp.min_precedes X49 X50 X51) (not (tptp.atomic X51)))) (forall ((X52 $$unsorted) (X53 $$unsorted) (X54 $$unsorted) (X55 $$unsorted)) (=> (and (tptp.min_precedes X53 X52 X55) (tptp.min_precedes X54 X52 X55) (tptp.precedes X53 X54)) (tptp.min_precedes X53 X54 X55))) _let_16 _let_15 (forall ((X64 $$unsorted) (X65 $$unsorted)) (= (tptp.atocc X64 X65) (exists ((X66 $$unsorted)) (and (tptp.subactivity X65 X66) (tptp.atomic X66) (tptp.occurrence_of X64 X66))))) (forall ((X67 $$unsorted) (X68 $$unsorted)) (=> (tptp.subactivity_occurrence X67 X68) (and (tptp.activity_occurrence X67) (tptp.activity_occurrence X68)))) _let_14 (forall ((X73 $$unsorted) (X74 $$unsorted)) (=> (and (tptp.root X74 X73) (not (tptp.atomic X73))) (exists ((X75 $$unsorted)) (and (tptp.occurrence_of X75 X73) (tptp.subactivity_occurrence X74 X75))))) _let_13 _let_12 (forall ((X83 $$unsorted) (X84 $$unsorted) (X85 $$unsorted) (X86 $$unsorted)) (=> (and (tptp.min_precedes X83 X84 X85) (tptp.occurrence_of X86 X85) (tptp.subactivity_occurrence X84 X86)) (tptp.subactivity_occurrence X83 X86))) (forall ((X87 $$unsorted) (X88 $$unsorted) (X89 $$unsorted) (X90 $$unsorted)) (=> (and (tptp.occurrence_of X89 X87) (tptp.occurrence_of X90 X88) (not (tptp.atomic X87)) (tptp.subactivity_occurrence X89 X90)) (tptp.subactivity X87 X88))) (forall ((X91 $$unsorted) (X92 $$unsorted) (X93 $$unsorted)) (=> (and (tptp.subactivity_occurrence X91 X92) (tptp.subactivity_occurrence X92 X93)) (tptp.subactivity_occurrence X91 X93))) (forall ((X94 $$unsorted) (X95 $$unsorted) (X96 $$unsorted) (X97 $$unsorted)) (=> (and (tptp.occurrence_of X96 X94) (tptp.occurrence_of X97 X95) (tptp.subactivity X94 X95) (not (tptp.subactivity_occurrence X96 X97))) (exists ((X98 $$unsorted)) (and (tptp.subactivity_occurrence X98 X97) (not (tptp.subactivity_occurrence X98 X96)))))) _let_11 _let_10 _let_9 (tptp.activity tptp.tptp0) _let_8 _let_6 _let_5 (tptp.atomic tptp.tptp2) _let_4 (not (= tptp.tptp4 tptp.tptp1)) (not (= tptp.tptp4 tptp.tptp3)) (not (= tptp.tptp4 tptp.tptp2)) _let_3 (not (= tptp.tptp1 tptp.tptp2)) (not (= tptp.tptp3 tptp.tptp2)) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 63.63/63.81  )
% 63.63/63.81  % SZS output end Proof for PRO006+1
% 63.63/63.81  % cvc5---1.0.5 exiting
% 63.63/63.81  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------