TSTP Solution File: PRO002+3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PRO002+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 13:06:15 EDT 2023
% Result : Theorem 26.97s 27.17s
% Output : Proof 26.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PRO002+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n006.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 19:20:36 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 26.97/27.17 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.eqT5RRSwza/cvc5---1.0.5_12617.p...
% 26.97/27.17 ------- get file name : TPTP file name is PRO002+3
% 26.97/27.17 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12617.smt2...
% 26.97/27.17 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 26.97/27.17 --- Run --no-e-matching --full-saturate-quant at 5...
% 26.97/27.17 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 26.97/27.17 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.97/27.17 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.97/27.17 % SZS status Theorem for PRO002+3
% 26.97/27.17 % SZS output start Proof for PRO002+3
% 26.97/27.17 (
% 26.97/27.17 (let ((_let_1 (not (not (exists ((X193 $$unsorted) (X194 $$unsorted) (X195 $$unsorted)) (and (tptp.tptp1 X193 tptp.tptp0 X194) (tptp.occurrence_of X195 X193))))))) (let ((_let_2 (forall ((X183 $$unsorted) (X184 $$unsorted) (X185 $$unsorted) (X186 $$unsorted)) (=> (and (tptp.tptp1 X183 X184 X185) (tptp.occurrence_of X186 X183)) (exists ((X187 $$unsorted) (X188 $$unsorted) (X189 $$unsorted) (X190 $$unsorted)) (and (tptp.send_message X187 X188 X189 X185 X184) (tptp.occurrence_of X190 X187) (tptp.root_occ X190 X186))))))) (let ((_let_3 (forall ((X180 $$unsorted) (X181 $$unsorted) (X182 $$unsorted)) (=> (tptp.tptp1 X180 X181 X182) (and (tptp.activity X180) (not (tptp.atomic X180)) (not (tptp.atomic X181)) (tptp.root X182 X181)))))) (let ((_let_4 (forall ((X174 $$unsorted) (X175 $$unsorted) (X176 $$unsorted) (X177 $$unsorted) (X178 $$unsorted) (X179 $$unsorted)) (=> (and (tptp.send_message X174 X175 X176 X177 X178) (tptp.occurrence_of X179 X174)) (tptp.min_precedes X177 X179 X178))))) (let ((_let_5 (forall ((X169 $$unsorted) (X170 $$unsorted) (X171 $$unsorted) (X172 $$unsorted) (X173 $$unsorted)) (=> (tptp.send_message X169 X170 X171 X172 X173) (and (not (= X169 tptp.tptp4)) (not (= X169 tptp.tptp3)) (not (= X169 tptp.tptp2))))))) (let ((_let_6 (forall ((X164 $$unsorted) (X165 $$unsorted) (X166 $$unsorted) (X167 $$unsorted) (X168 $$unsorted)) (=> (tptp.send_message X164 X165 X166 X167 X168) (and (tptp.activity X164) (tptp.atomic X164) (tptp.root X165 X166) (tptp.root X167 X168)))))) (let ((_let_7 (not (tptp.atomic tptp.tptp0)))) (let ((_let_8 (forall ((X161 $$unsorted)) (=> (tptp.occurrence_of X161 tptp.tptp0) (exists ((X162 $$unsorted) (X163 $$unsorted)) (and (tptp.occurrence_of X162 tptp.tptp4) (tptp.root_occ X162 X161) (or (tptp.occurrence_of X163 tptp.tptp3) (tptp.occurrence_of X163 tptp.tptp2)) (tptp.leaf_occ X163 X161) (tptp.next_subocc X162 X163 tptp.tptp0))))))) (let ((_let_9 (forall ((X138 $$unsorted) (X139 $$unsorted) (X140 $$unsorted) (X141 $$unsorted)) (=> (and (tptp.occurrence_of X139 X138) (tptp.subactivity_occurrence X140 X139) (tptp.leaf_occ X141 X139) (tptp.arboreal X140) (not (tptp.min_precedes X140 X141 X138))) (= X141 X140))))) (let ((_let_10 (forall ((X105 $$unsorted) (X106 $$unsorted) (X107 $$unsorted) (X108 $$unsorted)) (=> (and (tptp.occurrence_of X107 X108) (tptp.root_occ X105 X107) (tptp.root_occ X106 X107)) (= X105 X106))))) (let ((_let_11 (forall ((X99 $$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 ((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_13 (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_14 (forall ((X16 $$unsorted) (X17 $$unsorted)) (=> (tptp.occurrence_of X16 X17) (= (tptp.arboreal X16) (tptp.atomic X17)))))) (let ((_let_15 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (=> (and (tptp.occurrence_of X4 X5) (tptp.occurrence_of X4 X6)) (= X5 X6))))) (let ((_let_16 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.tptp0))) (let ((_let_17 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67))) (let ((_let_18 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.tptp0))) (let ((_let_19 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.send_message SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20 _let_16))) (let ((_let_24 (forall ((X174 $$unsorted) (X175 $$unsorted) (X176 $$unsorted) (X177 $$unsorted) (X178 $$unsorted) (X179 $$unsorted)) (or (not (tptp.send_message X174 X175 X176 X177 X178)) (not (tptp.occurrence_of X179 X174)) (tptp.min_precedes X177 X179 X178))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (or _let_22 _let_20 (not (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_27 (forall ((X187 $$unsorted) (X188 $$unsorted) (X189 $$unsorted) (X190 $$unsorted)) (or (not (tptp.send_message X187 X188 X189 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0)) (not (tptp.occurrence_of X190 X187)) (not (tptp.root_occ X190 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_28 (not _let_26))) (let ((_let_29 (not _let_27))) (let ((_let_30 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.tptp1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31 _let_29))) (let ((_let_35 (forall ((X183 $$unsorted) (X184 $$unsorted) (X185 $$unsorted) (X186 $$unsorted)) (or (not (tptp.tptp1 X183 X184 X185)) (not (tptp.occurrence_of X186 X183)) (not (forall ((X187 $$unsorted) (X188 $$unsorted) (X189 $$unsorted) (X190 $$unsorted)) (or (not (tptp.send_message X187 X188 X189 X185 X184)) (not (tptp.occurrence_of X190 X187)) (not (tptp.root_occ X190 X186))))))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (or _let_33 _let_31))) (let ((_let_38 (forall ((X193 $$unsorted) (X194 $$unsorted) (X195 $$unsorted)) (or (not (tptp.tptp1 X193 tptp.tptp0 X194)) (not (tptp.occurrence_of X195 X193)))))) (let ((_let_39 (not _let_37))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (or))) (let ((_let_42 (not _let_38))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_40) :args (_let_42))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_38))) (REFL :args (_let_39)) :args _let_41)) _let_40 :args (_let_39 true _let_38)))) (let ((_let_44 (REFL :args (_let_37)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 0)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_41)) :args ((or _let_32 _let_37))) _let_43 :args (_let_32 true _let_37)))) (let ((_let_46 (_let_29))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_46)) :args _let_46)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_27))) (REFL :args (_let_28)) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_31 _let_29 (not _let_34)))) _let_45 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 1)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_41)) :args ((or _let_30 _let_37))) _let_43 :args (_let_30 true _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.tptp1 X183 X184 X185) false)) (not (= (tptp.occurrence_of X186 X183) false))))) :args (_let_35))) _let_36 :args (_let_34 false _let_35)) :args (_let_29 false _let_32 false _let_30 false _let_34)) :args (_let_28 true _let_27)))) (let ((_let_48 (REFL :args (_let_26)))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 1)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_41)) :args ((or _let_19 _let_26))) _let_47 :args (_let_19 true _let_26)))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 0)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_41)) :args ((or _let_21 _let_26))) _let_47 :args (_let_21 true _let_26)))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_20 _let_16 (not _let_23)))) _let_50 _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.send_message X174 X175 X176 X177 X178) false)) (not (= (tptp.occurrence_of X179 X174) false))))) :args (_let_24))) _let_25 :args (_let_23 false _let_24)) :args (_let_16 false _let_21 false _let_19 false _let_23)))) (let ((_let_52 (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_53 (not _let_52))) (let ((_let_54 (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 tptp.tptp0))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_55 _let_53 _let_17))) (let ((_let_59 (forall ((X105 $$unsorted) (X106 $$unsorted) (X107 $$unsorted) (X108 $$unsorted)) (or (not (tptp.occurrence_of X107 X108)) (not (tptp.root_occ X105 X107)) (not (tptp.root_occ X106 X107)) (= X105 X106))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp0))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_64 (not _let_63))) (let ((_let_65 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp2))) (let ((_let_66 (not _let_65))) (let ((_let_67 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp3))) (let ((_let_68 (not _let_67))) (let ((_let_69 (and _let_68 _let_66))) (let ((_let_70 (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 tptp.tptp4)) _let_53 _let_69 _let_64 _let_62))) (let ((_let_71 (forall ((X162 $$unsorted) (X163 $$unsorted)) (or (not (tptp.occurrence_of X162 tptp.tptp4)) (not (tptp.root_occ X162 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (and (not (tptp.occurrence_of X163 tptp.tptp3)) (not (tptp.occurrence_of X163 tptp.tptp2))) (not (tptp.leaf_occ X163 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (tptp.next_subocc X162 X163 tptp.tptp0)))))) (let ((_let_72 (not _let_70))) (let ((_let_73 (not _let_71))) (let ((_let_74 (or _let_57 _let_73))) (let ((_let_75 (forall ((X161 $$unsorted)) (or (not (tptp.occurrence_of X161 tptp.tptp0)) (not (forall ((X162 $$unsorted) (X163 $$unsorted)) (or (not (tptp.occurrence_of X162 tptp.tptp4)) (not (tptp.root_occ X162 X161)) (and (not (tptp.occurrence_of X163 tptp.tptp3)) (not (tptp.occurrence_of X163 tptp.tptp2))) (not (tptp.leaf_occ X163 X161)) (not (tptp.next_subocc X162 X163 tptp.tptp0))))))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_78 (not _let_77))) (let ((_let_79 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_57 _let_80 _let_78))) (let ((_let_82 (forall ((X72 $$unsorted)) (or (not (tptp.occurrence_of X72 tptp.tptp0)) (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X72)) (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 X72)))))) (let ((_let_83 (not _let_81))) (let ((_let_84 (not _let_82))) (let ((_let_85 (not _let_16))) (let ((_let_86 (or _let_85 _let_84))) (let ((_let_87 (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_88 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (_let_84))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_89)) :args _let_89)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_84) _let_82))) (REFL :args (_let_83)) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_85 _let_84 (not _let_86)))) _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.min_precedes X70 X71 X69) false))))) :args (_let_87))) _let_88 :args (_let_86 false _let_87)) :args (_let_84 false _let_16 false _let_86)) :args (_let_83 true _let_82)))) (let ((_let_91 (REFL :args (_let_81)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_81 0)) (CONG _let_91 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_56))) :args _let_41)) :args ((or _let_56 _let_81))) _let_90 :args (_let_56 true _let_81)))) (let ((_let_93 (_let_73))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_93)) :args _let_93)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_71))) (REFL :args (_let_72)) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_57 _let_73 (not _let_74)))) _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.occurrence_of X161 tptp.tptp0) false))))) :args (_let_75))) _let_76 :args (_let_74 false _let_75)) :args (_let_73 false _let_56 false _let_74)) :args (_let_72 true _let_71)))) (let ((_let_95 (REFL :args (_let_70)))) (let ((_let_96 (forall ((X101 $$unsorted)) (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 X101)) (not (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 X101)))))) (let ((_let_97 (not _let_96))) (let ((_let_98 (and _let_79 _let_97))) (let ((_let_99 (= _let_54 _let_98))) (let ((_let_100 (forall ((X99 $$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 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(_let_117 1)) :args ((or _let_116 (not _let_117)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_118)) :args ((or _let_62 _let_117 (not _let_118)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_70 4)) (CONG _let_95 (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_61))) :args _let_41)) :args ((or _let_61 _let_70))) _let_94 :args (_let_61 true _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.next_subocc X60 X61 X62)))) :args (_let_119))) _let_120 :args (_let_118 false _let_119)) :args (_let_117 false _let_61 false _let_118)) :args (_let_116 false _let_117)) :args (_let_115 false _let_116)) :args (_let_114 false _let_112 false _let_115)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_57 _let_55 _let_53 _let_17 (not _let_58)))) _let_92 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_99)) :args ((or _let_54 (not _let_98) (not _let_99)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_111) (CONG (REFL :args _let_111) (REFL :args (_let_80)) (MACRO_SR_PRED_INTRO :args ((= (not _let_97) _let_96))) :args _let_41)) :args ((or _let_80 _let_96 _let_98))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_81 1)) (CONG _let_91 (MACRO_SR_PRED_INTRO :args ((= (not _let_80) _let_79))) :args _let_41)) :args ((or _let_79 _let_81))) _let_90 :args (_let_79 true _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_110) :args (tptp.tptp0 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_110)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_103 _let_57 _let_105))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_106 3)) :args ((or _let_102 (not _let_106)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_33 _let_106 (not _let_107)))) _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.tptp1 X180 X181 X182) false))))) :args (_let_108))) _let_109 :args (_let_107 false _let_108)) :args (_let_106 false _let_32 false _let_107)) :args (_let_102 false _let_106)) _let_92 :args (_let_105 false _let_102 false _let_56)) :args (_let_97 true _let_104)) :args (_let_98 false _let_79 true _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subactivity_occurrence X99 X100)))) :args (_let_100))) _let_101 :args (_let_99 false _let_100)) :args (_let_54 false _let_98 false _let_99)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_70 1)) (CONG _let_95 (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_52))) :args _let_41)) :args ((or _let_52 _let_70))) _let_94 :args (_let_52 true _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 tptp.tptp0 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_59))) _let_60 :args (_let_58 false _let_59)) :args (_let_17 false _let_56 false _let_54 false _let_52 false _let_58)) _let_51 :args (false true _let_18 false _let_17 false _let_16)) :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_15 (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 $$unsorted)) (=> (and (tptp.earlier X13 X14) (tptp.earlier X15 X14)) (or (tptp.earlier X15 X13) (tptp.earlier X13 X15) (= X13 X15)))) _let_14 (forall ((X18 $$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))))) (forall ((X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted)) (=> (tptp.min_precedes X35 X36 X37) (not (tptp.root X36 X37)))) (forall ((X38 $$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 $$unsorted)) (=> (and (tptp.min_precedes X53 X52 X55) (tptp.min_precedes X54 X52 X55) (tptp.precedes X53 X54)) (tptp.min_precedes X53 X54 X55))) (forall ((X56 $$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 $$unsorted)) (tptp.min_precedes X56 X59 X57)))))) _let_13 (forall ((X64 $$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_12 (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))))) (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)))))) _let_11 (forall ((X102 $$unsorted) (X103 $$unsorted)) (= (tptp.leaf_occ X102 X103) (exists ((X104 $$unsorted)) (and (tptp.occurrence_of X103 X104) (tptp.subactivity_occurrence X102 X103) (tptp.leaf X102 X104))))) _let_10 (forall ((X109 $$unsorted) (X110 $$unsorted) (X111 $$unsorted) (X112 $$unsorted)) (=> (and (tptp.occurrence_of X111 X112) (not (tptp.atomic X112)) (tptp.leaf_occ X109 X111) (tptp.leaf_occ X110 X111)) (= X109 X110))) (forall ((X113 $$unsorted) (X114 $$unsorted) (X115 $$unsorted)) (=> (and (tptp.occurrence_of X113 X115) (tptp.leaf_occ X114 X113)) (not (exists ((X116 $$unsorted)) (tptp.min_precedes X114 X116 X115))))) (forall ((X117 $$unsorted) (X118 $$unsorted) (X119 $$unsorted)) (=> (and (tptp.occurrence_of X117 X119) (tptp.root_occ X118 X117)) (not (exists ((X120 $$unsorted)) (tptp.min_precedes X120 X118 X119))))) (forall ((X121 $$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))) (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_9 (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 $$unsorted)) (=> (and (tptp.occurrence_of X157 X156) (tptp.root_occ X159 X157) (tptp.leaf_occ X160 X157) (tptp.subactivity_occurrence X158 X157) (tptp.min_precedes X159 X158 X156) (not (= X158 X160))) (tptp.min_precedes X158 X160 X156))) _let_8 (tptp.activity tptp.tptp0) _let_7 (tptp.atomic tptp.tptp4) (tptp.atomic tptp.tptp3) (tptp.atomic tptp.tptp2) (tptp.atomic tptp.tptp5) (not (= tptp.tptp4 tptp.tptp5)) (not (= tptp.tptp4 tptp.tptp3)) (not (= tptp.tptp4 tptp.tptp2)) (not (= tptp.tptp5 tptp.tptp3)) (not (= tptp.tptp5 tptp.tptp2)) (not (= tptp.tptp3 tptp.tptp2)) _let_6 _let_5 _let_4 _let_3 _let_2 (forall ((X191 $$unsorted) (X192 $$unsorted)) (not (tptp.tptp1 tptp.tptp0 X191 X192))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.97/27.18 )
% 26.97/27.18 % SZS output end Proof for PRO002+3
% 26.97/27.18 % cvc5---1.0.5 exiting
% 26.97/27.18 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------