%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PRO003+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 13:06:16 EDT 2023

% Result   : Theorem 63.15s 63.36s
% Output   : Proof 63.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : PRO003+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n026.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   : Mon Aug 28 19:25:35 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 63.15/63.36  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.vGObHhk4U2/cvc5---1.0.5_26567.p...
% 63.15/63.36  ------- get file name : TPTP file name is PRO003+1
% 63.15/63.36  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26567.smt2...
% 63.15/63.36  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 63.15/63.36  --- Run --no-e-matching --full-saturate-quant at 5...
% 63.15/63.36  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 63.15/63.36  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 63.15/63.36  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 63.15/63.36  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 63.15/63.36  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 63.15/63.36  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 63.15/63.36  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 63.15/63.36  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 63.15/63.36  --- Run --relevant-triggers --full-saturate-quant at 5...
% 63.15/63.36  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 63.15/63.36  % SZS status Theorem for PRO003+1
% 63.15/63.36  % SZS output start Proof for PRO003+1
% 63.15/63.36  (
% 63.15/63.36  (let ((_let_1 (not (not (exists ((X111 $$unsorted)) (tptp.occurrence_of X111 tptp.tptp0)))))) (let ((_let_2 (forall ((X108 $$unsorted) (X109 $$unsorted)) (=> (and (tptp.occurrence_of X109 tptp.tptp0) (tptp.root_occ X108 X109)) (exists ((X110 $$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.tptp4 tptp.tptp3))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.atomic tptp.tptp1))) (let ((_let_7 (tptp.atomic tptp.tptp3))) (let ((_let_8 (tptp.atomic tptp.tptp4))) (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 $$unsorted)) (=> (and (tptp.occurrence_of X80 X79) (tptp.arboreal X81) (tptp.arboreal X82) (tptp.subactivity_occurrence X81 X80) (tptp.subactivity_occurrence X82 X80)) (or (tptp.min_precedes X81 X82 X79) (tptp.min_precedes X82 X81 X79) (= X81 X82)))))) (let ((_let_13 (forall ((X69 $$unsorted) (X70 $$unsorted) (X71 $$unsorted)) (=> (tptp.min_precedes X70 X71 X69) (exists ((X72 $$unsorted)) (and (tptp.occurrence_of X72 X69) (tptp.subactivity_occurrence X70 X72) (tptp.subactivity_occurrence X71 X72))))))) (let ((_let_14 (forall ((X60 $$unsorted) (X61 $$unsorted) (X62 $$unsorted)) (= (tptp.next_subocc X60 X61 X62) (and (tptp.min_precedes X60 X61 X62) (not (exists ((X63 $$unsorted)) (and (tptp.min_precedes X60 X63 X62) (tptp.min_precedes X63 X61 X62))))))))) (let ((_let_15 (forall ((X56 $$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 $$unsorted)) (tptp.min_precedes X56 X59 X57)))))))) (let ((_let_16 (forall ((X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted)) (=> (tptp.min_precedes X35 X36 X37) (not (tptp.root X36 X37)))))) (let ((_let_17 (forall ((X16 $$unsorted) (X17 $$unsorted)) (=> (tptp.occurrence_of X16 X17) (= (tptp.arboreal X16) (tptp.atomic X17)))))) (let ((_let_18 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (=> (and (tptp.occurrence_of X4 X5) (tptp.occurrence_of X4 X6)) (= X5 X6))))) (let ((_let_19 (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 tptp.tptp0))) (let ((_let_20 (= tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_238))) (let ((_let_21 (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_238))) (let ((_let_22 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109))) (let ((_let_23 (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp0))) (let ((_let_24 (io_tptp.subactivity_occurrence_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83))) (let ((_let_25 (not _let_24))) (let ((_let_26 (io_tptp.subactivity_occurrence_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83))) (let ((_let_27 (not _let_26))) (let ((_let_28 (io_tptp.arboreal_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109))) (let ((_let_29 (not _let_28))) (let ((_let_30 (io_tptp.arboreal_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68))) (let ((_let_31 (not _let_30))) (let ((_let_32 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 tptp.tptp0))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31 _let_29 _let_27 _let_25 _let_19 _let_23 _let_22))) (let ((_let_35 (forall ((X79 $$unsorted) (b_X80 it_3_$$unsorted) (b_X81 it_3_$$unsorted) (b_X82 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X80 X79)) (not (io_tptp.arboreal_5 b_X81)) (not (io_tptp.arboreal_5 b_X82)) (not (io_tptp.subactivity_occurrence_13 b_X81 b_X80)) (not (io_tptp.subactivity_occurrence_13 b_X82 b_X80)) (io_tptp.min_precedes_8 b_X81 b_X82 X79) (io_tptp.min_precedes_8 b_X82 b_X81 X79) (= b_X81 b_X82))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_12)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X79 $$unsorted) (X80 $$unsorted) (X81 $$unsorted) (X82 $$unsorted)) (or (not (tptp.occurrence_of X80 X79)) (not (tptp.arboreal X81)) (not (tptp.arboreal X82)) (not (tptp.subactivity_occurrence X81 X80)) (not (tptp.subactivity_occurrence X82 X80)) (tptp.min_precedes X81 X82 X79) (tptp.min_precedes X82 X81 X79) (= X81 X82))) _let_35))))))) (let ((_let_37 (_let_35))) (let ((_let_38 (not (= (io_tptp.occurrence_of_2 b_X80 X79) false)))) (let ((_let_39 (= _let_8 _let_28))) (let ((_let_40 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 tptp.tptp4))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_39))) (let ((_let_43 (forall ((b_X16 it_3_$$unsorted) (X17 $$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X16 X17)) (= (tptp.atomic X17) (io_tptp.arboreal_5 b_X16)))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_17)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X16 $$unsorted) (X17 $$unsorted)) (or (not (tptp.occurrence_of X16 X17)) (= (tptp.arboreal X16) (tptp.atomic X17)))) _let_43))))))) (let ((_let_45 (_let_43))) (let ((_let_46 ((not (= (io_tptp.occurrence_of_2 b_X16 X17) false))))) (let ((_let_47 (io_tptp.next_subocc_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 tptp.tptp0))) (let ((_let_48 (not _let_47))) (let ((_let_49 (io_tptp.leaf_occ_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83))) (let ((_let_50 (not _let_49))) (let ((_let_51 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 tptp.tptp3))) (let ((_let_52 (not _let_51))) (let ((_let_53 (io_tptp.root_occ_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_41 _let_54 _let_52 _let_50 _let_48))) (let ((_let_56 (forall ((b_X106 it_3_$$unsorted) (b_X107 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X106 tptp.tptp4)) (not (io_tptp.root_occ_14 b_X106 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83)) (not (io_tptp.occurrence_of_2 b_X107 tptp.tptp3)) (not (io_tptp.leaf_occ_15 b_X107 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83)) (not (io_tptp.next_subocc_12 b_X106 b_X107 tptp.tptp0)))))) (let ((_let_57 (not _let_55))) (let ((_let_58 (not _let_56))) (let ((_let_59 (or _let_33 _let_58))) (let ((_let_60 (forall ((b_X105 it_3_$$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_61 (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 $$unsorted)) (or (not (tptp.occurrence_of X106 tptp.tptp4)) (not (tptp.root_occ X106 X105)) (not (tptp.occurrence_of X107 tptp.tptp3)) (not (tptp.leaf_occ X107 X105)) (not (tptp.next_subocc X106 X107 tptp.tptp0))))))) _let_60))))))) (let ((_let_62 (_let_60))) (let ((_let_63 ((not (= (io_tptp.occurrence_of_2 b_X105 tptp.tptp0) false))))) (let ((_let_64 (io_tptp.subactivity_occurrence_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_33 _let_65 _let_27))) (let ((_let_67 (forall ((b_X72 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X72 tptp.tptp0)) (not (io_tptp.subactivity_occurrence_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 b_X72)) (not (io_tptp.subactivity_occurrence_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 b_X72)))))) (let ((_let_68 (not _let_66))) (let ((_let_69 (not _let_67))) (let ((_let_70 (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp0))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_69))) (let ((_let_73 (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_74 (EQ_RESOLVE (ASSUME :args (_let_13)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_13 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_73))))))) (let ((_let_75 (forall ((b_X63 it_3_$$unsorted)) (or (not (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 b_X63 tptp.tptp0)) (not (io_tptp.min_precedes_8 b_X63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp0)))))) (let ((_let_76 (and _let_70 _let_75))) (let ((_let_77 (io_tptp.next_subocc_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp0))) (let ((_let_78 (= _let_77 _let_76))) (let ((_let_79 (forall ((b_X60 it_3_$$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_$$unsorted)) (or (not (io_tptp.min_precedes_8 b_X60 b_X63 X62)) (not (io_tptp.min_precedes_8 b_X63 b_X61 X62))))))))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_14)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X60 $$unsorted) (X61 $$unsorted) (X62 $$unsorted)) (= (tptp.next_subocc X60 X61 X62) (and (tptp.min_precedes X60 X61 X62) (forall ((X63 $$unsorted)) (or (not (tptp.min_precedes X60 X63 X62)) (not (tptp.min_precedes X63 X61 X62))))))) _let_79))))))) (let ((_let_81 (_let_79))) (let ((_let_82 (not _let_77))) (let ((_let_83 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp1))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_84 _let_82))) (let ((_let_86 (forall ((b_X110 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X110 tptp.tptp1)) (not (io_tptp.next_subocc_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 b_X110 tptp.tptp0)))))) (let ((_let_87 (not _let_85))) (let ((_let_88 (not _let_86))) (let ((_let_89 (io_tptp.root_occ_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_90 (not _let_89))) (let ((_let_91 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 tptp.tptp0))) (let ((_let_92 (not _let_91))) (let ((_let_93 (or _let_92 _let_90 _let_88))) (let ((_let_94 (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.root_occ_14 b_X108 b_X109)) (not (forall ((b_X110 it_3_$$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X110 tptp.tptp1)) (not (io_tptp.next_subocc_12 b_X108 b_X110 tptp.tptp0))))))))) (let ((_let_95 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X108 $$unsorted) (X109 $$unsorted)) (or (not (tptp.occurrence_of X109 tptp.tptp0)) (not (tptp.root_occ X108 X109)) (not (forall ((X110 $$unsorted)) (or (not (tptp.occurrence_of X110 tptp.tptp1)) (not (tptp.next_subocc X108 X110 tptp.tptp0))))))) _let_94))))))) (let ((_let_96 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 tptp.tptp4))) (let ((_let_97 (not _let_96))) (let ((_let_98 (or _let_97 _let_90 (not (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64 tptp.tptp3)) (not (io_tptp.leaf_occ_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)) (not (io_tptp.next_subocc_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_64 tptp.tptp0))))) (let ((_let_99 (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 tptp.tptp3)) (not (io_tptp.leaf_occ_15 b_X107 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)) (not (io_tptp.next_subocc_12 b_X106 b_X107 tptp.tptp0)))))) (let ((_let_100 (not _let_98))) (let ((_let_101 (not _let_99))) (let ((_let_102 (or _let_92 _let_101))) (let ((_let_103 (forall ((b_X111 it_3_$$unsorted)) (not (io_tptp.occurrence_of_2 b_X111 tptp.tptp0))))) (let ((_let_104 (not _let_103))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((X111 $$unsorted)) (not (tptp.occurrence_of X111 tptp.tptp0)))) _let_104))))))) (let ((_let_106 (or))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_105) :args (_let_104)) (REWRITE :args ((=> _let_104 (not _let_92)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_104) _let_103))) (REFL :args (_let_91)) :args _let_106)) _let_105 :args (_let_91 true _let_103)))) (let ((_let_108 (_let_101))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_108)) :args _let_108)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_101) _let_99))) (REFL :args (_let_100)) :args _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_92 _let_101 (not _let_102)))) _let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62)) _let_61 :args (_let_102 false _let_60)) :args (_let_101 false _let_91 false _let_102)) :args (_let_100 true _let_99)))) (let ((_let_110 (REFL :args (_let_98)))) (let ((_let_111 (_let_88))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_111)) :args _let_111)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_86))) (REFL :args (_let_87)) :args _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_92 _let_90 _let_88 (not 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_let_85))) _let_112 :args (_let_77 true _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp0 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_81)) _let_80 :args (_let_78 false _let_79)) :args (_let_76 false _let_77 false _let_78)))) (let ((_let_115 (not _let_76))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_76 0)) :args ((or _let_70 _let_115))) _let_114 :args (_let_70 false _let_76)))) (let ((_let_117 (_let_69))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_117)) :args _let_117)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_67))) (REFL :args (_let_68)) :args _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_71 _let_69 (not _let_72)))) _let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.tptp0 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(IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62)) _let_61 :args (_let_59 false _let_60)) :args (_let_58 false _let_32 false _let_59)) :args (_let_57 true _let_56)))) (let ((_let_123 (REFL :args (_let_55)))) (let ((_let_124 (ASSUME :args (_let_8)))) (let ((_let_125 (not _let_8))) (let ((_let_126 (forall ((X101 $$unsorted)) (or (not (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 X101)) (not (io_tptp.root_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 X101)))))) (let ((_let_127 (not _let_126))) (let ((_let_128 (and _let_24 _let_127))) (let ((_let_129 (= _let_53 _let_128))) (let ((_let_130 (forall ((b_X99 it_3_$$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_131 (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 $$unsorted)) (or (not (tptp.occurrence_of X100 X101)) (not (tptp.root X99 X101)))))))) _let_130))))))) (let ((_let_132 (_let_130))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 1)) (CONG _let_123 (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_106)) :args ((or _let_53 _let_55))) _let_122 :args (_let_53 true _let_55)))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_129)) :args ((or _let_54 _let_128 (not _let_129)))) _let_133 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((io_tptp.root_occ_14 b_X99 b_X100)))) :args _let_132)) _let_131 :args (_let_129 false _let_130)) :args (_let_128 false _let_53 false _let_129)))) (let ((_let_135 (not _let_128))) (let ((_let_136 (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 tptp.tptp0))) (let ((_let_137 (not _let_136))) (let ((_let_138 (not _let_23))) (let ((_let_139 (or _let_138 _let_137))) (let ((_let_140 (forall ((b_X63 it_3_$$unsorted)) (or (not (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 b_X63 tptp.tptp0)) (not (io_tptp.min_precedes_8 b_X63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 tptp.tptp0)))))) (let ((_let_141 (and (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 tptp.tptp0) _let_140))) (let ((_let_142 (= _let_47 _let_141))) (let ((_let_143 (_let_140))) (let ((_let_144 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110))) (let ((_let_145 (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp0))) (let ((_let_146 (io_tptp.subactivity_occurrence_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83))) (let ((_let_147 (not _let_146))) (let ((_let_148 (io_tptp.arboreal_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110))) (let ((_let_149 (not _let_148))) (let ((_let_150 (or _let_33 _let_149 _let_31 _let_147 _let_27 _let_145 _let_136 _let_144))) (let ((_let_151 ((not (= (io_tptp.subactivity_occurrence_13 b_X81 b_X80) false)) _let_38 (not (= (io_tptp.arboreal_5 b_X82) false))))) (let ((_let_152 (not _let_145))) (let ((_let_153 (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 tptp.tptp0))) (let ((_let_154 (not _let_153))) (let ((_let_155 (or _let_154 _let_152))) (let ((_let_156 (_let_75))) (let ((_let_157 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110))) (let ((_let_158 (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 tptp.tptp0))) (let ((_let_159 (io_tptp.arboreal_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63))) (let ((_let_160 (not _let_159))) (let ((_let_161 (or _let_33 _let_149 _let_160 _let_147 _let_65 _let_158 _let_153 _let_157))) (let ((_let_162 (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_126))) (let ((_let_163 (= tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_126))) (let ((_let_164 (not _let_158))) (let ((_let_165 (forall ((b_X59 it_3_$$unsorted)) (not (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 b_X59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_126))))) (let ((_let_166 (not _let_162))) (let ((_let_167 (and (or (io_tptp.root_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_126) (not (forall ((b_X58 it_3_$$unsorted)) (not (io_tptp.min_precedes_8 b_X58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_126))))) _let_165))) (let ((_let_168 (io_tptp.leaf_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_126))) (let ((_let_169 (= _let_168 _let_167))) (let ((_let_170 (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_171 (EQ_RESOLVE (ASSUME :args (_let_15)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_15 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_170))))))) (let ((_let_172 (not _let_168))) (let ((_let_173 (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_126))) (let ((_let_174 (not _let_173))) (let ((_let_175 (or _let_174 _let_172))) (let ((_let_176 (forall ((X104 $$unsorted)) (or (not (io_tptp.occurrence_of_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 X104)) (not (io_tptp.leaf_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 X104)))))) (let ((_let_177 (not _let_175))) (let ((_let_178 (not _let_176))) (let ((_let_179 (and _let_146 _let_178))) (let ((_let_180 (= _let_49 _let_179))) (let ((_let_181 (forall ((b_X102 it_3_$$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_182 (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)) (= (tptp.leaf_occ X102 X103) (and (tptp.subactivity_occurrence 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(MACRO_SR_PRED_INTRO :args ((= (not _let_178) _let_176))) (REFL :args (_let_177)) :args _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_179 1)) :args ((or _let_178 _let_184))) _let_183 :args (_let_178 false _let_179)) :args (_let_177 true _let_176)))) (let ((_let_187 (REFL :args (_let_175)))) (let ((_let_188 (_let_165))) (let ((_let_189 (or _let_33 _let_174 _let_163))) (let ((_let_190 (forall ((b_X4 it_3_$$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (or (not (io_tptp.occurrence_of_2 b_X4 X5)) (not (io_tptp.occurrence_of_2 b_X4 X6)) (= X5 X6))))) (let ((_let_191 (EQ_RESOLVE (ASSUME :args (_let_18)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (or (not (tptp.occurrence_of X4 X5)) (not (tptp.occurrence_of X4 X6)) (= X5 X6))) _let_190))))))) (let ((_let_192 (_let_190))) (let ((_let_193 (not _let_163))) (let ((_let_194 (and _let_163 _let_166))) (let ((_let_195 (ASSUME 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:args (true _let_194)) (CONG (REFL :args (_let_193)) (MACRO_SR_PRED_INTRO :args ((= (not _let_166) _let_162))) (REFL :args (_let_164)) :args _let_106)) :args ((or _let_193 _let_164 _let_162))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_189)) :args ((or _let_33 _let_174 _let_163 (not _let_189)))) _let_120 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_175 0)) (CONG _let_187 (MACRO_SR_PRED_INTRO :args ((= (not _let_174) _let_173))) :args _let_106)) :args ((or _let_173 _let_175))) _let_186 :args (_let_173 true _let_175)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_191 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_126 QUANTIFIERS_INST_CBQI_PROP)) :args _let_192)) _let_191 :args (_let_189 false _let_190)) :args (_let_163 false _let_32 false _let_173 false _let_189)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_188) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 b_X59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_126) false))))) :args _let_188)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_167 1)) :args ((or _let_165 (not _let_167)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_169)) :args ((or _let_172 _let_167 (not _let_169)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_175 1)) (CONG _let_187 (MACRO_SR_PRED_INTRO :args ((= (not _let_172) _let_168))) :args _let_106)) :args ((or _let_168 _let_175))) _let_186 :args (_let_168 true _let_175)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_126 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((io_tptp.leaf_11 b_X56 X57)))) :args (_let_170))) _let_171 :args (_let_169 false _let_170)) :args (_let_167 false _let_168 false _let_169)) :args (_let_165 false _let_167)) :args (_let_166 false _let_165)) :args (_let_164 false _let_163 true _let_162)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 QUANTIFIERS_INST_E_MATCHING _let_151)) :args _let_37))) _let_36 :args (_let_161 false _let_35)) :args (_let_153 false _let_159 false _let_32 false _let_64 false _let_146 true _let_157 false _let_148 true _let_158 false _let_161)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_156) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_63 b_X63 tptp.tptp0) false))))) :args _let_156)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_76 1)) :args ((or _let_75 _let_115))) _let_114 :args (_let_75 false _let_76)) :args (_let_155 false _let_75)) :args (_let_152 false _let_153 false _let_155)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 QUANTIFIERS_INST_E_MATCHING _let_151)) :args _let_37))) _let_36 :args (_let_150 false _let_35)) :args (_let_136 false _let_30 false _let_32 false _let_26 true _let_144 false _let_146 false _let_148 true _let_145 false _let_150)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_143) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (io_tptp.min_precedes_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 b_X63 tptp.tptp0) false))))) :args _let_143)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_141 1)) :args ((or _let_140 (not _let_141)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_142)) :args ((or _let_48 _let_141 (not _let_142)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 4)) (CONG _let_123 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_106)) :args ((or _let_47 _let_55))) _let_122 :args (_let_47 true _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((io_tptp.next_subocc_12 b_X60 b_X61 X62)))) :args _let_81)) _let_80 :args (_let_142 false _let_79)) :args (_let_141 false _let_47 false _let_142)) :args (_let_140 false _let_141)) :args (_let_139 false _let_140)) :args (_let_138 false _let_136 false _let_139)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_128 0)) :args ((or _let_24 _let_135))) _let_134 :args (_let_24 false _let_128)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_39)) :args ((or _let_125 _let_28 (not _let_39)))) _let_124 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_39 (not _let_42)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 0)) (CONG _let_123 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_106)) :args ((or _let_40 _let_55))) _let_122 :args (_let_40 true _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 tptp.tptp4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_42 false _let_43)) :args (_let_39 false _let_40 false _let_42)) :args (_let_28 false _let_8 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 QUANTIFIERS_INST_E_MATCHING ((not (= (io_tptp.min_precedes_8 b_X82 b_X81 X79) true)) _let_38))) :args _let_37)) _let_36 :args (_let_34 false _let_35)) :args (_let_19 false _let_30 false _let_32 false _let_26 true _let_22 true _let_23 false _let_24 false _let_28 false _let_34)) :args (false true _let_21 false _let_20 false _let_19)) :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_18 (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 $$unsorted)) (=> (and (tptp.earlier X13 X14) (tptp.earlier X15 X14)) (or (tptp.earlier X15 X13) (tptp.earlier X13 X15) (= X13 X15)))) _let_17 (forall ((X18 $$unsorted)) (=> (tptp.legal X18) (tptp.arboreal X18))) (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_16 (forall ((X38 $$unsorted) (X39 $$unsorted) (X40 $$unsorted)) (=> (tptp.min_precedes X38 X39 X40) (tptp.precedes X38 X39))) (forall ((X41 $$unsorted) (X42 $$unsorted)) (=> (tptp.root X41 X42) (tptp.legal X41))) (forall ((X43 $$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_15 _let_14 (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 $$unsorted)) (=> (tptp.subactivity_occurrence X67 X68) (and (tptp.activity_occurrence X67) (tptp.activity_occurrence X68)))) _let_13 (forall ((X73 $$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))))) (forall ((X76 $$unsorted) (X77 $$unsorted)) (=> (and (tptp.occurrence_of X77 X76) (not (tptp.atomic X76))) (exists ((X78 $$unsorted)) (and (tptp.root X78 X76) (tptp.subactivity_occurrence X78 X77))))) _let_12 (forall ((X83 $$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) (not (tptp.atomic tptp.tptp0)) _let_8 _let_7 (tptp.atomic tptp.tptp2) _let_6 (not (= tptp.tptp4 tptp.tptp1)) _let_5 (not (= tptp.tptp4 tptp.tptp2)) _let_3 (not (= tptp.tptp1 tptp.tptp2)) (not (= tptp.tptp3 tptp.tptp2)) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 63.15/63.37  )
% 63.15/63.37  % SZS output end Proof for PRO003+1
% 63.15/63.37  % cvc5---1.0.5 exiting
% 63.15/63.37  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------