TSTP Solution File: PRO005+3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PRO005+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 26.61s 26.83s
% Output : Proof 26.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : PRO005+3 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.13 % Command : do_cvc5 %s %d
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 28 19:39:40 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.44 %----Proving TF0_NAR, FOF, or CNF
% 26.61/26.83 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.6X0pR29z3g/cvc5---1.0.5_30756.p...
% 26.61/26.83 ------- get file name : TPTP file name is PRO005+3
% 26.61/26.83 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30756.smt2...
% 26.61/26.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 26.61/26.83 --- Run --no-e-matching --full-saturate-quant at 5...
% 26.61/26.83 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 26.61/26.83 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.61/26.83 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.61/26.83 % SZS status Theorem for PRO005+3
% 26.61/26.83 % SZS output start Proof for PRO005+3
% 26.61/26.83 (
% 26.61/26.83 (let ((_let_1 (not (not (exists ((X169 $$unsorted)) (tptp.occurrence_of X169 tptp.tptp0)))))) (let ((_let_2 (forall ((X166 $$unsorted) (X167 $$unsorted)) (=> (and (tptp.occurrence_of X167 tptp.tptp0) (tptp.subactivity_occurrence X166 X167) (tptp.arboreal X166) (not (tptp.leaf_occ X166 X167))) (exists ((X168 $$unsorted)) (and (tptp.occurrence_of X168 tptp.tptp1) (tptp.next_subocc X166 X168 tptp.tptp0))))))) (let ((_let_3 (forall ((X164 $$unsorted) (X165 $$unsorted)) (=> (and (tptp.occurrence_of X165 tptp.tptp0) (tptp.subactivity_occurrence X164 X165) (tptp.arboreal X164) (not (tptp.leaf_occ X164 X165))) (tptp.root_occ X164 X165))))) (let ((_let_4 (not (= tptp.tptp1 tptp.tptp2)))) (let ((_let_5 (not (= tptp.tptp1 tptp.tptp3)))) (let ((_let_6 (tptp.atomic tptp.tptp1))) (let ((_let_7 (tptp.atomic tptp.tptp0))) (let ((_let_8 (not _let_7))) (let ((_let_9 (forall ((X161 $$unsorted)) (=> (tptp.occurrence_of X161 tptp.tptp0) (exists ((X162 $$unsorted) (X163 $$unsorted)) (and (tptp.occurrence_of X162 tptp.tptp4) (tptp.root_occ X162 X161) (or (tptp.occurrence_of X163 tptp.tptp3) (tptp.occurrence_of X163 tptp.tptp2)) (tptp.leaf_occ X163 X161) (tptp.next_subocc X162 X163 tptp.tptp0))))))) (let ((_let_10 (forall ((X134 $$unsorted) (X135 $$unsorted) (X136 $$unsorted) (X137 $$unsorted)) (=> (and (tptp.occurrence_of X135 X134) (tptp.subactivity_occurrence X136 X135) (tptp.root_occ X137 X135) (tptp.arboreal X136) (not (tptp.min_precedes X137 X136 X134))) (= X137 X136))))) (let ((_let_11 (forall ((X117 $$unsorted) (X118 $$unsorted) (X119 $$unsorted)) (=> (and (tptp.occurrence_of X117 X119) (tptp.root_occ X118 X117)) (not (exists ((X120 $$unsorted)) (tptp.min_precedes X120 X118 X119))))))) (let ((_let_12 (forall ((X113 $$unsorted) (X114 $$unsorted) (X115 $$unsorted)) (=> (and (tptp.occurrence_of X113 X115) (tptp.leaf_occ X114 X113)) (not (exists ((X116 $$unsorted)) (tptp.min_precedes X114 X116 X115))))))) (let ((_let_13 (forall ((X109 $$unsorted) (X110 $$unsorted) (X111 $$unsorted) (X112 $$unsorted)) (=> (and (tptp.occurrence_of X111 X112) (not (tptp.atomic X112)) (tptp.leaf_occ X109 X111) (tptp.leaf_occ X110 X111)) (= X109 X110))))) (let ((_let_14 (forall ((X76 $$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_15 (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_16 (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_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 $$unsorted)) (=> (and (tptp.occurrence_of X4 X5) (tptp.occurrence_of X4 X6)) (= X5 X6))))) (let ((_let_22 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (or (not (tptp.occurrence_of X4 X5)) (not (tptp.occurrence_of X4 X6)) (= X5 X6))))) (let ((_let_23 (= tptp.tptp2 tptp.tptp1))) (let ((_let_24 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 tptp.tptp1))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 tptp.tptp2))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_25 _let_23))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (not _let_28))) (let ((_let_31 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_146))) (let ((_let_32 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_146 tptp.tptp2))) (let ((_let_33 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_146 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 tptp.tptp0))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_7 _let_36 _let_34 _let_31))) (let ((_let_40 (forall ((X109 $$unsorted) (X110 $$unsorted) (X111 $$unsorted) (X112 $$unsorted)) (or (not (tptp.occurrence_of X111 X112)) (tptp.atomic X112) (not (tptp.leaf_occ X109 X111)) (not (tptp.leaf_occ X110 X111)) (= X109 X110))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (not _let_32))) (let ((_let_43 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_146 tptp.tptp3))) (let ((_let_44 (not _let_43))) (let ((_let_45 (and _let_44 _let_42))) (let ((_let_46 (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_145 tptp.tptp4)) (not (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_145 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49)) _let_45 _let_34 (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_145 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_146 tptp.tptp0))))) (let ((_let_47 (forall ((X162 $$unsorted) (X163 $$unsorted)) (or (not (tptp.occurrence_of X162 tptp.tptp4)) (not (tptp.root_occ X162 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49)) (and (not (tptp.occurrence_of X163 tptp.tptp3)) (not (tptp.occurrence_of X163 tptp.tptp2))) (not (tptp.leaf_occ X163 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49)) (not (tptp.next_subocc X162 X163 tptp.tptp0)))))) (let ((_let_48 (not _let_46))) (let ((_let_49 (not _let_47))) (let ((_let_50 (or _let_38 _let_49))) (let ((_let_51 (forall ((X161 $$unsorted)) (or (not (tptp.occurrence_of X161 tptp.tptp0)) (not (forall ((X162 $$unsorted) (X163 $$unsorted)) (or (not (tptp.occurrence_of X162 tptp.tptp4)) (not (tptp.root_occ X162 X161)) (and (not (tptp.occurrence_of X163 tptp.tptp3)) (not (tptp.occurrence_of X163 tptp.tptp2))) (not (tptp.leaf_occ X163 X161)) (not (tptp.next_subocc X162 X163 tptp.tptp0))))))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (_let_51))) (let ((_let_54 ((not (= (tptp.occurrence_of X161 tptp.tptp0) false))))) (let ((_let_55 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_38 (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49)) _let_56))) (let ((_let_58 (forall ((X72 $$unsorted)) (or (not (tptp.occurrence_of X72 tptp.tptp0)) (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X72)) (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 X72)))))) (let ((_let_59 (not _let_57))) (let ((_let_60 (not _let_58))) (let ((_let_61 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 tptp.tptp0))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_60))) (let ((_let_64 (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 ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (and _let_61 (forall ((X63 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X63 tptp.tptp0)) (not (tptp.min_precedes X63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 tptp.tptp0))))))) (let ((_let_67 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 tptp.tptp0))) (let ((_let_68 (= _let_67 _let_66))) (let ((_let_69 (forall ((X60 $$unsorted) (X61 $$unsorted) (X62 $$unsorted)) (= (tptp.next_subocc X60 X61 X62) (and (tptp.min_precedes X60 X61 X62) (forall ((X63 $$unsorted)) (or (not (tptp.min_precedes X60 X63 X62)) (not (tptp.min_precedes X63 X61 X62))))))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (_let_69))) (let ((_let_72 ((tptp.next_subocc X60 X61 X62)))) (let ((_let_73 (not _let_67))) (let ((_let_74 (or _let_25 _let_73))) (let ((_let_75 (forall ((X168 $$unsorted)) (or (not (tptp.occurrence_of X168 tptp.tptp1)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X168 tptp.tptp0)))))) (let ((_let_76 (not _let_74))) (let ((_let_77 (not _let_75))) (let ((_let_78 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_79 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_80 (not _let_79))) (let ((_let_81 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_82 (not _let_81))) (let ((_let_83 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_84 _let_82 _let_80 _let_78 _let_77))) (let ((_let_86 (forall ((X166 $$unsorted) (X167 $$unsorted)) (or (not (tptp.occurrence_of X167 tptp.tptp0)) (not (tptp.subactivity_occurrence X166 X167)) (not (tptp.arboreal X166)) (tptp.leaf_occ X166 X167) (not (forall ((X168 $$unsorted)) (or (not (tptp.occurrence_of X168 tptp.tptp1)) (not (tptp.next_subocc X166 X168 tptp.tptp0))))))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (tptp.legal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_89 _let_79))) (let ((_let_91 (forall ((X18 $$unsorted)) (or (not (tptp.legal X18)) (tptp.arboreal X18))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.tptp0))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_94 _let_88))) (let ((_let_96 (forall ((X41 $$unsorted) (X42 $$unsorted)) (or (not (tptp.root X41 X42)) (tptp.legal X41))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (or _let_94 _let_82))) (let ((_let_99 (forall ((X78 $$unsorted)) (or (not (tptp.root X78 tptp.tptp0)) (not (tptp.subactivity_occurrence X78 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_100 (not _let_98))) (let ((_let_101 (not _let_99))) (let ((_let_102 (or _let_84 _let_7 _let_101))) (let ((_let_103 (forall ((X76 $$unsorted) (X77 $$unsorted)) (or (not (tptp.occurrence_of X77 X76)) (tptp.atomic X76) (not (forall ((X78 $$unsorted)) (or (not (tptp.root X78 X76)) (not (tptp.subactivity_occurrence X78 X77))))))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (forall ((X169 $$unsorted)) (not (tptp.occurrence_of X169 tptp.tptp0))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (or))) (let ((_let_108 (not _let_105))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_106) :args (_let_108)) (REWRITE :args ((=> _let_108 (not _let_84)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_108) _let_105))) (REFL :args (_let_83)) :args _let_107)) _let_106 :args (_let_83 true _let_105)))) (let ((_let_110 (ASSUME :args (_let_8)))) (let ((_let_111 (_let_101))) (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_101) _let_99))) (REFL :args (_let_100)) :args _let_107)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_7 _let_84 _let_101 (not _let_102)))) _let_110 _let_109 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.occurrence_of X77 X76) false))))) :args (_let_103))) _let_104 :args (_let_102 false _let_103)) :args (_let_101 true _let_7 false _let_83 false _let_102)) :args (_let_100 true _let_99)))) (let ((_let_113 (REFL :args (_let_98)))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_98 0)) (CONG _let_113 (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_93))) :args _let_107)) :args ((or _let_93 _let_98))) _let_112 :args (_let_93 true _let_98)))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_79 _let_89 (not _let_90)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_94 _let_88 (not _let_95)))) _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.root X41 X42) false))))) :args (_let_96))) _let_97 :args (_let_95 false _let_96)) :args (_let_88 false _let_93 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_91))) _let_92 :args (_let_90 false _let_91)) :args (_let_79 false _let_88 false _let_90)))) (let ((_let_116 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_117 (not _let_116))) (let ((_let_118 (not _let_78))) (let ((_let_119 (or _let_84 _let_118 _let_117))) (let ((_let_120 (forall ((X113 $$unsorted) (X114 $$unsorted) (X115 $$unsorted) (BOUND_VARIABLE_1625 $$unsorted)) (or (not (tptp.occurrence_of X113 X115)) (not (tptp.leaf_occ X114 X113)) (not (tptp.min_precedes X114 BOUND_VARIABLE_1625 X115)))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_123 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_124 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.tptp0))) (let ((_let_125 (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_126 (not _let_125))) (let ((_let_127 (or _let_84 _let_82 _let_126 _let_80 _let_124 _let_122))) (let ((_let_128 (forall ((X134 $$unsorted) (X135 $$unsorted) (X136 $$unsorted) (X137 $$unsorted)) (or (not (tptp.occurrence_of X135 X134)) (not (tptp.subactivity_occurrence X136 X135)) (not (tptp.root_occ X137 X135)) (not (tptp.arboreal X136)) (tptp.min_precedes X137 X136 X134) (= X136 X137))))) (let ((_let_129 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_130 (not _let_124))) (let ((_let_131 (or _let_130 _let_94))) (let ((_let_132 (forall ((X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted)) (or (not (tptp.min_precedes X35 X36 X37)) (not (tptp.root X36 X37)))))) (let ((_let_133 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_134 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_135 (not _let_134))) (let ((_let_136 (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.tptp4)) _let_126 (and (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp3)) (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp2))) (not (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_135))) (let ((_let_137 (forall ((X162 $$unsorted) (X163 $$unsorted)) (or (not (tptp.occurrence_of X162 tptp.tptp4)) (not (tptp.root_occ X162 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (tptp.occurrence_of X163 tptp.tptp3)) (not (tptp.occurrence_of X163 tptp.tptp2))) (not (tptp.leaf_occ X163 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.next_subocc X162 X163 tptp.tptp0)))))) (let ((_let_138 (not _let_136))) (let ((_let_139 (not _let_137))) (let ((_let_140 (or _let_84 _let_139))) (let ((_let_141 (_let_139))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_141)) :args _let_141)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_139) _let_137))) (REFL :args (_let_138)) :args _let_107)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_140)) :args ((or _let_84 _let_139 (not _let_140)))) _let_109 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_54)) :args _let_53)) _let_52 :args (_let_140 false _let_51)) :args (_let_139 false _let_83 false _let_140)) :args (_let_138 true _let_137)))) (let ((_let_143 (REFL :args (_let_136)))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_98 1)) (CONG _let_113 (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_81))) :args _let_107)) :args ((or _let_81 _let_98))) _let_112 :args (_let_81 true _let_98)))) (let ((_let_145 (and _let_123 (forall ((X63 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 X63 tptp.tptp0)) (not (tptp.min_precedes X63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))))))) (let ((_let_146 (= _let_134 _let_145))) (let ((_let_147 (and _let_123 _let_122))) (let ((_let_148 (_let_123 _let_122))) (let ((_let_149 (ASSUME :args (_let_123)))) (let ((_let_150 (ASSUME :args (_let_122)))) (let ((_let_151 (_let_77))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_151)) :args _let_151)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_75))) (REFL :args (_let_76)) :args _let_107)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_84 _let_82 _let_78 _let_80 _let_77 (not _let_85)))) _let_109 _let_144 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_84 _let_118 _let_117 (not _let_119)))) _let_109 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_147)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_149 _let_150) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM (SYMM _let_150)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (REFL :args (tptp.tptp0)) :args (APPLY_UF tptp.min_precedes)) (TRUE_INTRO _let_149))) :args _let_148)) :args _let_148)) :args (true _let_147)) :args ((or _let_116 (not _let_123) (not _let_122)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_145 0)) :args ((or _let_123 (not _let_145)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_146)) :args ((or _let_135 _let_145 (not _let_146)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_136 4)) (CONG _let_143 (MACRO_SR_PRED_INTRO :args ((= (not _let_135) _let_134))) :args _let_107)) :args ((or _let_134 _let_136))) _let_142 :args (_let_134 true _let_136)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_72)) :args _let_71)) _let_70 :args (_let_146 false _let_69)) :args (_let_145 false _let_134 false _let_146)) :args (_let_123 false _let_145)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_84 _let_82 _let_126 _let_80 _let_124 _let_122 (not _let_127)))) _let_109 _let_144 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_136 1)) (CONG _let_143 (MACRO_SR_PRED_INTRO :args ((= (not _let_126) _let_125))) :args _let_107)) :args ((or _let_125 _let_136))) _let_142 :args (_let_125 true _let_136)) _let_115 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_94 _let_130 (not _let_131)))) _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.tptp0 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_132))) _let_133 :args (_let_131 false _let_132)) :args (_let_130 false _let_93 false _let_131)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.occurrence_of X135 X134) false)) (not (= (tptp.subactivity_occurrence X136 X135) false)) (not (= (tptp.root_occ X137 X135) false))))) :args (_let_128))) _let_129 :args (_let_127 false _let_128)) :args (_let_122 false _let_83 false _let_81 false _let_125 false _let_79 true _let_124 false _let_127)) :args (_let_116 false _let_123 false _let_122)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_120))) _let_121 :args (_let_119 false _let_120)) :args (_let_118 false _let_83 false _let_116 false _let_119)) _let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subactivity_occurrence X166 X167) false))))) :args (_let_86))) _let_87 :args (_let_85 false _let_86)) :args (_let_77 false _let_83 false _let_81 true _let_78 false _let_79 false _let_85)) :args (_let_76 true _let_75)))) (let ((_let_153 (REFL :args (_let_74)))) (let ((_let_154 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_66 0)) :args ((or _let_61 (not _let_66)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_68)) :args ((or _let_73 _let_66 (not _let_68)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 1)) (CONG _let_153 (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_67))) :args _let_107)) :args ((or _let_67 _let_74))) _let_152 :args (_let_67 true _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_72)) :args _let_71)) _let_70 :args (_let_68 false _let_69)) :args (_let_66 false _let_67 false _let_68)) :args (_let_61 false _let_66)))) (let ((_let_155 (_let_60))) (let ((_let_156 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_155)) :args _let_155)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_58))) (REFL :args (_let_59)) :args _let_107)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_62 _let_60 (not _let_63)))) _let_154 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.min_precedes X70 X71 X69) false))))) :args (_let_64))) _let_65 :args (_let_63 false _let_64)) :args (_let_60 false _let_61 false _let_63)) :args (_let_59 true _let_58)))) (let ((_let_157 (REFL :args (_let_57)))) (let ((_let_158 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 0)) (CONG _let_157 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_107)) :args ((or _let_37 _let_57))) _let_156 :args (_let_37 true _let_57)))) (let ((_let_159 (_let_49))) (let ((_let_160 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_159)) :args _let_159)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_47))) (REFL :args (_let_48)) :args _let_107)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_38 _let_49 (not _let_50)))) _let_158 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_54)) :args _let_53)) _let_52 :args (_let_50 false _let_51)) :args (_let_49 false _let_37 false _let_50)) :args (_let_48 true _let_47)))) (let ((_let_161 (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49))) (let ((_let_162 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_163 (not _let_162))) (let ((_let_164 (or _let_38 _let_56 _let_163 _let_35 _let_161))) (let ((_let_165 (forall ((X164 $$unsorted) (X165 $$unsorted)) (or (not (tptp.occurrence_of X165 tptp.tptp0)) (not (tptp.subactivity_occurrence X164 X165)) (not (tptp.arboreal X164)) (tptp.leaf_occ X164 X165) (tptp.root_occ X164 X165))))) (let ((_let_166 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_167 (not _let_161))) (let ((_let_168 (or _let_38 _let_167 _let_62))) (let ((_let_169 (forall ((X117 $$unsorted) (X118 $$unsorted) (X119 $$unsorted) (BOUND_VARIABLE_1645 $$unsorted)) (or (not (tptp.occurrence_of X117 X119)) (not (tptp.root_occ X118 X117)) (not (tptp.min_precedes BOUND_VARIABLE_1645 X118 X119)))))) (let ((_let_170 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_171 (= _let_6 _let_162))) (let ((_let_172 (or _let_25 _let_171))) (let ((_let_173 (forall ((X16 $$unsorted) (X17 $$unsorted)) (or (not (tptp.occurrence_of X16 X17)) (= (tptp.arboreal X16) (tptp.atomic X17)))))) (let ((_let_174 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_175 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 0)) (CONG _let_153 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_107)) :args ((or _let_24 _let_74))) _let_152 :args (_let_24 true _let_74)))) (let ((_let_176 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_7 _let_38 _let_36 _let_34 _let_31 (not _let_39)))) _let_110 _let_158 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_164)) :args ((or _let_163 _let_38 _let_56 _let_161 _let_35 (not _let_164)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_171)) :args ((or (not _let_6) _let_162 (not _let_171)))) (ASSUME :args (_let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_172)) :args ((or _let_25 _let_171 (not _let_172)))) _let_175 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM 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_let_169)) :args (_let_167 false _let_61 false _let_37 false _let_168)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subactivity_occurrence X164 X165) false))))) :args (_let_165))) _let_166 :args (_let_164 false _let_165)) :args (_let_35 false _let_162 false _let_37 false _let_55 true _let_161 false _let_164)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 3)) (CONG (REFL :args (_let_46)) (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_107)) :args ((or _let_33 _let_46))) _let_160 :args (_let_33 true _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_146 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 tptp.tptp0 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_40))) _let_41 :args (_let_39 false _let_40)) :args (_let_31 true _let_7 false _let_37 false _let_35 false _let_33 false _let_39)))) (let ((_let_177 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 tptp.tptp3))) (let ((_let_178 (= tptp.tptp3 tptp.tptp1))) (let ((_let_179 (not _let_177))) (let ((_let_180 (or _let_179 _let_25 _let_178))) (let ((_let_181 (_let_22))) (let ((_let_182 (not _let_31))) (let ((_let_183 (and _let_179 _let_31))) (let ((_let_184 (_let_179 _let_31))) (let ((_let_185 (ASSUME :args (_let_179)))) (let ((_let_186 (APPLY_UF tptp.occurrence_of))) (let ((_let_187 (ASSUME :args (_let_31)))) (let ((_let_188 (SYMM (SYMM _let_187)))) (let ((_let_189 (_let_45))) (let ((_let_190 (and _let_32 _let_31))) (let ((_let_191 (_let_32 _let_31))) (let ((_let_192 (ASSUME :args (_let_32)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 tptp.tptp2 tptp.tptp1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_181)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_23 _let_25 _let_27 _let_30))) (SYMM (ASSUME :args (_let_4))) _let_175 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_190)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_192 _let_187) (SCOPE (TRUE_ELIM (TRANS (CONG _let_188 (REFL :args (tptp.tptp2)) :args _let_186) (TRUE_INTRO _let_192))) :args _let_191)) :args _let_191)) :args (true _let_190)) :args ((or _let_26 _let_42 _let_182))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_189) (CONG (REFL :args _let_189) (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_32))) :args _let_107)) :args ((or _let_43 _let_32 _let_45))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_183)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_185 _let_187) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_188) (REFL :args (tptp.tptp3)) :args _let_186) (FALSE_INTRO _let_185))) :args _let_184)) :args _let_184)) :args (true _let_183)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_179) _let_177))) (REFL :args (_let_182)) (REFL :args (_let_44)) :args _let_107)) :args ((or _let_177 _let_44 _let_182))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_180)) :args ((or _let_178 _let_25 _let_179 (not _let_180)))) (SYMM (ASSUME :args (_let_5))) _let_175 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 tptp.tptp3 tptp.tptp1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_181)) _let_29 :args (_let_180 false _let_22)) :args (_let_179 true _let_178 false _let_24 false _let_180)) _let_176 :args (_let_44 true _let_177 false _let_31)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_46 2)) _let_160 :args ((not _let_45) true _let_46)) :args (_let_32 true _let_43 true _let_45)) _let_176 :args (_let_26 false _let_32 false _let_31)) :args (_let_30 true _let_23 false _let_24 false _let_26)) _let_29 :args (false true _let_28 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))) (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_16 (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 $$unsorted)) (=> (tptp.subactivity_occurrence X67 X68) (and (tptp.activity_occurrence X67) (tptp.activity_occurrence X68)))) _let_15 (forall ((X73 $$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_14 (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)))) (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)))))) (forall ((X99 $$unsorted) (X100 $$unsorted)) (= (tptp.root_occ X99 X100) (exists ((X101 $$unsorted)) (and (tptp.occurrence_of X100 X101) (tptp.subactivity_occurrence X99 X100) (tptp.root X99 X101))))) (forall ((X102 $$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))))) (forall ((X105 $$unsorted) (X106 $$unsorted) (X107 $$unsorted) (X108 $$unsorted)) (=> (and (tptp.occurrence_of X107 X108) (tptp.root_occ X105 X107) (tptp.root_occ X106 X107)) (= X105 X106))) _let_13 _let_12 _let_11 (forall ((X121 $$unsorted) (X122 $$unsorted) (X123 $$unsorted) (X124 $$unsorted) (X125 $$unsorted)) (=> (and (tptp.next_subocc X121 X122 X124) (tptp.next_subocc X121 X123 X124) (tptp.occurrence_of X125 X124) (tptp.subactivity_occurrence X123 X125) (tptp.subactivity_occurrence X122 X125)) (= X122 X123))) (forall ((X126 $$unsorted) (X127 $$unsorted) (X128 $$unsorted) (X129 $$unsorted)) (=> (and (tptp.next_subocc X127 X126 X129) (tptp.next_subocc X128 X126 X129)) (= X127 X128))) (forall ((X130 $$unsorted) (X131 $$unsorted) (X132 $$unsorted) (X133 $$unsorted)) (=> (and (tptp.occurrence_of X130 X133) (tptp.leaf_occ X131 X130) (tptp.root_occ X132 X130) (not (= X131 X132))) (tptp.min_precedes X132 X131 X133))) _let_10 (forall ((X138 $$unsorted) (X139 $$unsorted) (X140 $$unsorted) (X141 $$unsorted)) (=> (and (tptp.occurrence_of X139 X138) (tptp.subactivity_occurrence X140 X139) (tptp.leaf_occ X141 X139) (tptp.arboreal X140) (not (tptp.min_precedes X140 X141 X138))) (= X141 X140))) (forall ((X142 $$unsorted) (X143 $$unsorted) (X144 $$unsorted)) (=> (tptp.next_subocc X142 X143 X144) (and (tptp.arboreal X142) (tptp.arboreal X143)))) (forall ((X145 $$unsorted) (X146 $$unsorted)) (=> (and (tptp.leaf X145 X146) (not (tptp.atomic X146))) (exists ((X147 $$unsorted)) (and (tptp.occurrence_of X147 X146) (tptp.leaf_occ X145 X147))))) (forall ((X148 $$unsorted) (X149 $$unsorted) (X150 $$unsorted)) (=> (tptp.min_precedes X148 X149 X150) (tptp.arboreal X148))) (forall ((X151 $$unsorted) (X152 $$unsorted) (X153 $$unsorted) (X154 $$unsorted) (X155 $$unsorted)) (=> (and (tptp.occurrence_of X152 X151) (tptp.root_occ X154 X152) (tptp.leaf_occ X155 X152) (tptp.subactivity_occurrence X153 X152) (tptp.min_precedes X153 X155 X151) (not (= X153 X154))) (tptp.min_precedes X154 X153 X151))) (forall ((X156 $$unsorted) (X157 $$unsorted) (X158 $$unsorted) (X159 $$unsorted) (X160 $$unsorted)) (=> (and (tptp.occurrence_of X157 X156) (tptp.root_occ X159 X157) (tptp.leaf_occ X160 X157) (tptp.subactivity_occurrence X158 X157) (tptp.min_precedes X159 X158 X156) (not (= X158 X160))) (tptp.min_precedes X158 X160 X156))) _let_9 (tptp.activity tptp.tptp0) _let_8 (tptp.atomic tptp.tptp4) (tptp.atomic tptp.tptp3) (tptp.atomic tptp.tptp2) _let_6 (not (= tptp.tptp4 tptp.tptp1)) (not (= tptp.tptp4 tptp.tptp3)) (not (= tptp.tptp4 tptp.tptp2)) _let_5 _let_4 (not (= tptp.tptp3 tptp.tptp2)) _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.61/26.84 )
% 26.61/26.84 % SZS output end Proof for PRO005+3
% 26.61/26.84 % cvc5---1.0.5 exiting
% 26.61/26.84 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------