TSTP Solution File: PRO009+4 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PRO009+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 13:06:22 EDT 2023
% Result : Theorem 0.43s 0.69s
% Output : Proof 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : PRO009+4 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 19:34:40 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.43/0.69 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.NaJ2zUozBs/cvc5---1.0.5_17658.p...
% 0.43/0.69 ------- get file name : TPTP file name is PRO009+4
% 0.43/0.69 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17658.smt2...
% 0.43/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.43/0.69 % SZS status Theorem for PRO009+4
% 0.43/0.69 % SZS output start Proof for PRO009+4
% 0.43/0.69 (
% 0.43/0.69 (let ((_let_1 (not (forall ((X105 $$unsorted)) (=> (tptp.occurrence_of X105 tptp.tptp0) (exists ((X106 $$unsorted) (X107 $$unsorted)) (and (tptp.occurrence_of X106 tptp.tptp3) (tptp.root_occ X106 X105) (or (tptp.occurrence_of X107 tptp.tptp2) (tptp.occurrence_of X107 tptp.tptp1)) (tptp.min_precedes X106 X107 tptp.tptp0) (tptp.leaf_occ X107 X105)))))))) (let ((_let_2 (tptp.atomic tptp.tptp3))) (let ((_let_3 (tptp.atomic tptp.tptp0))) (let ((_let_4 (not _let_3))) (let ((_let_5 (forall ((X101 $$unsorted)) (=> (tptp.occurrence_of X101 tptp.tptp0) (exists ((X102 $$unsorted) (X103 $$unsorted) (X104 $$unsorted)) (and (tptp.occurrence_of X102 tptp.tptp3) (tptp.root_occ X102 X101) (tptp.occurrence_of X103 tptp.tptp4) (tptp.next_subocc X102 X103 tptp.tptp0) (or (tptp.occurrence_of X104 tptp.tptp2) (tptp.occurrence_of X104 tptp.tptp1)) (tptp.next_subocc X103 X104 tptp.tptp0) (tptp.leaf_occ X104 X101))))))) (let ((_let_6 (forall ((X90 $$unsorted) (X91 $$unsorted) (X92 $$unsorted) (X93 $$unsorted)) (=> (and (tptp.occurrence_of X92 X93) (tptp.root_occ X90 X92) (tptp.root_occ X91 X92)) (= X90 X91))))) (let ((_let_7 (forall ((X78 $$unsorted) (X79 $$unsorted) (X80 $$unsorted)) (= (tptp.next_subocc X78 X79 X80) (and (tptp.min_precedes X78 X79 X80) (not (exists ((X81 $$unsorted)) (and (tptp.min_precedes X78 X81 X80) (tptp.min_precedes X81 X79 X80))))))))) (let ((_let_8 (forall ((X65 $$unsorted) (X66 $$unsorted) (X67 $$unsorted)) (=> (tptp.min_precedes X65 X66 X67) (not (tptp.root X66 X67)))))) (let ((_let_9 (forall ((X58 $$unsorted) (X59 $$unsorted)) (= (tptp.root_occ X58 X59) (exists ((X60 $$unsorted)) (and (tptp.occurrence_of X59 X60) (tptp.subactivity_occurrence X58 X59) (tptp.root X58 X60))))))) (let ((_let_10 (forall ((X55 $$unsorted) (X56 $$unsorted)) (= (tptp.leaf_occ X55 X56) (exists ((X57 $$unsorted)) (and (tptp.occurrence_of X56 X57) (tptp.subactivity_occurrence X55 X56) (tptp.leaf X55 X57))))))) (let ((_let_11 (forall ((X51 $$unsorted) (X52 $$unsorted)) (=> (tptp.occurrence_of X51 X52) (= (tptp.arboreal X51) (tptp.atomic X52)))))) (let ((_let_12 (forall ((X28 $$unsorted) (X29 $$unsorted) (X30 $$unsorted)) (=> (and (tptp.occurrence_of X28 X29) (tptp.occurrence_of X28 X30)) (= X29 X30))))) (let ((_let_13 (forall ((X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted) (X11 $$unsorted)) (=> (and (tptp.occurrence_of X9 X8) (tptp.subactivity_occurrence X10 X9) (tptp.leaf_occ X11 X9) (tptp.arboreal X10) (not (tptp.min_precedes X10 X11 X8))) (= X11 X10))))) (let ((_let_14 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.occurrence_of X1 X0) (not (tptp.atomic X0))) (exists ((X2 $$unsorted)) (and (tptp.root X2 X0) (tptp.subactivity_occurrence X2 X1))))))) (let ((_let_15 (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.tptp0))) (let ((_let_16 (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0))) (let ((_let_17 (= tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_18 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_19 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_20 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (not _let_20))) (let ((_let_22 (not _let_15))) (let ((_let_23 (or _let_22 _let_21))) (let ((_let_24 (forall ((X2 $$unsorted)) (or (not (tptp.root X2 tptp.tptp0)) (not (tptp.subactivity_occurrence X2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (not _let_24))) (let ((_let_27 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_3 _let_26))) (let ((_let_30 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.occurrence_of X1 X0)) (tptp.atomic X0) (not (forall ((X2 $$unsorted)) (or (not (tptp.root X2 X0)) (not (tptp.subactivity_occurrence X2 X1))))))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (forall ((X106 $$unsorted) (X107 $$unsorted)) (or (not (tptp.occurrence_of X106 tptp.tptp3)) (not (tptp.root_occ X106 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (tptp.occurrence_of X107 tptp.tptp2)) (not (tptp.occurrence_of X107 tptp.tptp1))) (not (tptp.min_precedes X106 X107 tptp.tptp0)) (not (tptp.leaf_occ X107 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_28 _let_33))) (let ((_let_35 (forall ((X105 $$unsorted)) (or (not (tptp.occurrence_of X105 tptp.tptp0)) (not (forall ((X106 $$unsorted) (X107 $$unsorted)) (or (not (tptp.occurrence_of X106 tptp.tptp3)) (not (tptp.root_occ X106 X105)) (and (not (tptp.occurrence_of X107 tptp.tptp2)) (not (tptp.occurrence_of X107 tptp.tptp1))) (not (tptp.min_precedes X106 X107 tptp.tptp0)) (not (tptp.leaf_occ X107 X105))))))))) (let ((_let_36 (not _let_34))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (or))) (let ((_let_39 (not _let_35))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_37) :args (_let_39))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_35))) (REFL :args (_let_36)) :args _let_38)) _let_37 :args (_let_36 true _let_35)))) (let ((_let_41 (REFL :args (_let_34)))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 0)) (CONG _let_41 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_38)) :args ((or _let_27 _let_34))) _let_40 :args (_let_27 true _let_34)))) (let ((_let_43 (_let_26))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_43)) :args _let_43)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_24))) (REFL :args (_let_25)) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_3 _let_28 _let_26 (not _let_29)))) (ASSUME :args (_let_4)) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.occurrence_of X1 X0) false))))) :args (_let_30))) _let_31 :args (_let_29 false _let_30)) :args (_let_26 true _let_3 false _let_27 false _let_29)) :args (_let_25 true _let_24)))) (let ((_let_45 (REFL :args (_let_23)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 0)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_15))) :args _let_38)) :args ((or _let_15 _let_23))) _let_44 :args (_let_15 true _let_23)))) (let ((_let_47 (not _let_16))) (let ((_let_48 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_47))) (let ((_let_51 (forall ((X65 $$unsorted) (X66 $$unsorted) (X67 $$unsorted)) (or (not (tptp.min_precedes X65 X66 X67)) (not (tptp.root X66 X67)))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (and _let_48 (forall ((X81 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X81 tptp.tptp0)) (not (tptp.min_precedes X81 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0))))))) (let ((_let_54 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0))) (let ((_let_55 (= _let_54 _let_53))) (let ((_let_56 (forall ((X78 $$unsorted) (X79 $$unsorted) (X80 $$unsorted)) (= (tptp.next_subocc X78 X79 X80) (and (tptp.min_precedes X78 X79 X80) (forall ((X81 $$unsorted)) (or (not (tptp.min_precedes X78 X81 X80)) (not (tptp.min_precedes X81 X79 X80))))))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_59 (not _let_58))) (let ((_let_60 (not _let_54))) (let ((_let_61 (and (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp2)) (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp1))))) (let ((_let_62 (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.tptp3))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63 (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp4)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0)) _let_61 _let_60 _let_59))) (let ((_let_67 (forall ((X102 $$unsorted) (X103 $$unsorted) (X104 $$unsorted)) (or (not (tptp.occurrence_of X102 tptp.tptp3)) (not (tptp.root_occ X102 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.occurrence_of X103 tptp.tptp4)) (not (tptp.next_subocc X102 X103 tptp.tptp0)) (and (not (tptp.occurrence_of X104 tptp.tptp2)) (not (tptp.occurrence_of X104 tptp.tptp1))) (not (tptp.next_subocc X103 X104 tptp.tptp0)) (not (tptp.leaf_occ X104 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_68 (not _let_66))) (let ((_let_69 (not _let_67))) (let ((_let_70 (or _let_28 _let_69))) (let ((_let_71 (forall ((X101 $$unsorted)) (or (not (tptp.occurrence_of X101 tptp.tptp0)) (not (forall ((X102 $$unsorted) (X103 $$unsorted) (X104 $$unsorted)) (or (not (tptp.occurrence_of X102 tptp.tptp3)) (not (tptp.root_occ X102 X101)) (not (tptp.occurrence_of X103 tptp.tptp4)) (not (tptp.next_subocc X102 X103 tptp.tptp0)) (and (not (tptp.occurrence_of X104 tptp.tptp2)) (not (tptp.occurrence_of X104 tptp.tptp1))) (not (tptp.next_subocc X103 X104 tptp.tptp0)) (not (tptp.leaf_occ X104 X101))))))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (_let_69))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_73)) :args _let_73)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_67))) (REFL :args (_let_68)) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_28 _let_69 (not _let_70)))) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.occurrence_of X101 tptp.tptp0) false))))) :args (_let_71))) _let_72 :args (_let_70 false _let_71)) :args (_let_69 false _let_27 false _let_70)) :args (_let_68 true _let_67)))) (let ((_let_75 (REFL :args (_let_66)))) (let ((_let_76 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_28 _let_77 _let_17))) (let ((_let_79 (forall ((X28 $$unsorted) (X29 $$unsorted) (X30 $$unsorted)) (or (not (tptp.occurrence_of X28 X29)) (not (tptp.occurrence_of X28 X30)) (= X29 X30))))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (or _let_77 (not (tptp.leaf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))))) (let ((_let_82 (forall ((X57 $$unsorted)) (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X57)) (not (tptp.leaf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 X57)))))) (let ((_let_83 (not _let_81))) (let ((_let_84 (not _let_82))) (let ((_let_85 (and (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_84))) (let ((_let_86 (= _let_58 _let_85))) (let ((_let_87 (forall ((X55 $$unsorted) (X56 $$unsorted)) (= (tptp.leaf_occ X55 X56) (and (tptp.subactivity_occurrence X55 X56) (not (forall ((X57 $$unsorted)) (or (not (tptp.occurrence_of X56 X57)) (not (tptp.leaf X55 X57)))))))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 6)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_58))) :args _let_38)) :args ((or _let_58 _let_66))) _let_74 :args (_let_58 true _let_66)))) (let ((_let_90 (_let_84))) (let ((_let_91 (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_92 (not _let_91))) (let ((_let_93 (or _let_28 _let_63 _let_92 _let_18))) (let ((_let_94 (forall ((X90 $$unsorted) (X91 $$unsorted) (X92 $$unsorted) (X93 $$unsorted)) (or (not (tptp.occurrence_of X92 X93)) (not (tptp.root_occ X90 X92)) (not (tptp.root_occ X91 X92)) (= X90 X91))))) (let ((_let_95 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_96 (forall ((X60 $$unsorted)) (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X60)) (not (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X60)))))) (let ((_let_97 (not _let_96))) (let ((_let_98 (and _let_20 _let_97))) (let ((_let_99 (= _let_91 _let_98))) (let ((_let_100 (forall ((X58 $$unsorted) (X59 $$unsorted)) (= (tptp.root_occ X58 X59) (and (tptp.subactivity_occurrence X58 X59) (not (forall ((X60 $$unsorted)) (or (not (tptp.occurrence_of X59 X60)) (not (tptp.root X58 X60)))))))))) (let ((_let_101 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_102 (_let_100))) (let ((_let_103 (or _let_28 _let_22))) (let ((_let_104 (not _let_103))) (let ((_let_105 (_let_96))) (let ((_let_106 (_let_98))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 1)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_62))) :args _let_38)) :args ((or _let_62 _let_66))) _let_74 :args (_let_62 true _let_66)))) (let ((_let_108 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0))) (let ((_let_109 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_110 (not _let_109))) (let ((_let_111 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_28 _let_112 _let_59 _let_110 _let_108 _let_19))) (let ((_let_114 (forall ((X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted) (X11 $$unsorted)) (or (not (tptp.occurrence_of X9 X8)) (not (tptp.subactivity_occurrence X10 X9)) (not (tptp.leaf_occ X11 X9)) (not (tptp.arboreal X10)) (tptp.min_precedes X10 X11 X8) (= X10 X11))))) (let ((_let_115 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_116 (not _let_108))) (let ((_let_117 (or _let_65 _let_63 _let_61 _let_116 _let_59))) (let ((_let_118 (_let_32))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 0)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_64))) :args _let_38)) :args ((or _let_64 _let_66))) _let_74 :args (_let_64 true _let_66)))) (let ((_let_120 (and _let_111 (not (forall ((X60 $$unsorted)) (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X60)) (not (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 X60)))))))) (let ((_let_121 (= _let_62 _let_120))) (let ((_let_122 (= _let_2 _let_109))) (let ((_let_123 (or _let_65 _let_122))) (let ((_let_124 (forall ((X51 $$unsorted) (X52 $$unsorted)) (or (not (tptp.occurrence_of X51 X52)) (= (tptp.arboreal X51) (tptp.atomic X52)))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (not _let_18))) (let ((_let_127 (not _let_17))) (let ((_let_128 (not _let_19))) (let ((_let_129 (ASSUME :args (_let_15)))) (let ((_let_130 (APPLY_UF tptp.root))) (let ((_let_131 (ASSUME :args (_let_17)))) (let ((_let_132 (ASSUME :args (_let_18)))) (let ((_let_133 (ASSUME :args (_let_19)))) (let ((_let_134 (ASSUME :args (_let_47)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_129 _let_132 _let_133 _let_131 _let_134) :args (_let_15 _let_19 _let_47 _let_17 _let_18)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_134)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) _let_131 :args _let_130) (CONG (TRANS (SYMM _let_133) (SYMM _let_132)) (SYMM _let_131) :args _let_130) (TRUE_INTRO _let_129))) :args (_let_15 _let_18 _let_19 _let_17 _let_47)) :args ((not (and _let_15 _let_19 _let_47 _let_17 _let_18)) SB_LITERAL))) (CONG (REFL :args (_let_22)) (REFL :args (_let_128)) (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_16))) (REFL :args (_let_127)) (REFL :args (_let_126)) :args _let_38)) :args ((or _let_22 _let_16 _let_128 _let_127 _let_126))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_28 _let_59 _let_110 _let_112 _let_19 _let_108 (not _let_113)))) _let_42 _let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_122)) :args ((or (not _let_2) _let_109 (not _let_122)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_65 _let_122 (not _let_123)))) _let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_125 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.tptp3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.occurrence_of X51 X52) false))))) :args (_let_124)))) _let_125 :args (_let_123 false _let_124)) :args (_let_122 false _let_64 false _let_123)) :args (_let_109 false _let_2 false _let_122)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_120 0)) :args ((or _let_111 (not _let_120)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_121)) :args ((or _let_63 _let_120 (not _let_121)))) _let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.root_occ X58 X59)))) :args _let_102)) _let_101 :args (_let_121 false _let_100)) :args (_let_120 false _let_62 false _let_121)) :args (_let_111 false _let_120)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_65 _let_63 _let_61 _let_59 _let_116 (not _let_117)))) _let_119 _let_107 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_66 4)) _let_74 :args ((not _let_61) true _let_66)) _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_118) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.min_precedes X106 X107 tptp.tptp0) false))))) :args _let_118)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 1)) (CONG _let_41 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_38)) :args ((or _let_32 _let_34))) _let_40 :args (_let_32 true _let_34)) :args (_let_117 false _let_32)) :args (_let_116 false _let_64 false _let_62 true _let_61 false _let_58 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.occurrence_of X9 X8) false)) (not (= (tptp.subactivity_occurrence X10 X9) false)) (not (= (tptp.leaf_occ X11 X9) false))))) :args (_let_114))) _let_115 :args (_let_113 false _let_114)) :args (_let_19 false _let_27 false _let_58 false _let_109 false _let_111 true _let_108 false _let_113)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_28 _let_63 _let_92 _let_18 (not _let_93)))) _let_42 _let_107 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_99)) :args ((or _let_91 (not _let_98) (not _let_99)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_106) (CONG (REFL :args _let_106) (REFL :args (_let_21)) (MACRO_SR_PRED_INTRO :args ((= (not _let_97) _let_96))) :args _let_38)) :args ((or _let_21 _let_96 _let_98))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 1)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_38)) :args ((or _let_20 _let_23))) _let_44 :args (_let_20 true _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_105) :args (tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X60) false))))) :args _let_105)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_28 _let_22 _let_104))) _let_42 _let_46 :args (_let_104 false _let_27 false _let_15)) :args (_let_97 true _let_103)) :args (_let_98 false _let_20 true _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subactivity_occurrence X58 X59)))) :args _let_102)) _let_101 :args (_let_99 false _let_100)) :args (_let_91 false _let_98 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.occurrence_of X92 X93) false)) (not (= (tptp.root_occ X90 X92) false)) (not (= (tptp.root_occ X91 X92) false))))) :args (_let_94)))) _let_95 :args (_let_93 false _let_94)) :args (_let_18 false _let_27 false _let_62 false _let_91 false _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_28 _let_77 _let_17 (not _let_78)))) _let_42 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_81 0)) (CONG (REFL :args (_let_81)) (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_76))) :args _let_38)) :args ((or _let_76 _let_81))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_90)) :args _let_90)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_84) _let_82))) (REFL :args (_let_83)) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_85 1)) :args ((or _let_84 (not _let_85)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_86)) :args ((or _let_59 _let_85 (not _let_86)))) _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.leaf_occ X55 X56)))) :args (_let_87))) _let_88 :args (_let_86 false _let_87)) :args (_let_85 false _let_58 false _let_86)) :args (_let_84 false _let_85)) :args (_let_83 true _let_82)) :args (_let_76 true _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.occurrence_of X28 X29) false)) (not (= (tptp.occurrence_of X28 X30) false))))) :args (_let_79))) _let_80 :args (_let_78 false _let_79)) :args (_let_17 false _let_27 false _let_76 false _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_47 (not _let_50)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_53 0)) :args ((or _let_48 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_55)) :args ((or _let_60 _let_53 (not _let_55)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 5)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_54))) :args _let_38)) :args ((or _let_54 _let_66))) _let_74 :args (_let_54 true _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.next_subocc X78 X79 X80)))) :args (_let_56))) _let_57 :args (_let_55 false _let_56)) :args (_let_53 false _let_54 false _let_55)) :args (_let_48 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.min_precedes X65 X66 X67) false))))) :args (_let_51))) _let_52 :args (_let_50 false _let_51)) :args (_let_47 false _let_48 false _let_50)) _let_46 :args (false false _let_19 false _let_18 false _let_17 true _let_16 false _let_15)) :args (_let_14 (forall ((X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted)) (=> (and (tptp.occurrence_of X4 X3) (tptp.root_occ X6 X4) (tptp.leaf_occ X7 X4) (tptp.subactivity_occurrence X5 X4) (tptp.min_precedes X6 X5 X3) (not (= X5 X7))) (tptp.min_precedes X5 X7 X3))) _let_13 (forall ((X12 $$unsorted) (X13 $$unsorted)) (=> (tptp.occurrence_of X13 X12) (and (tptp.activity X12) (tptp.activity_occurrence X13)))) (forall ((X14 $$unsorted) (X15 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (=> (and (tptp.occurrence_of X15 X14) (tptp.arboreal X16) (tptp.arboreal X17) (tptp.subactivity_occurrence X16 X15) (tptp.subactivity_occurrence X17 X15)) (or (tptp.min_precedes X16 X17 X14) (tptp.min_precedes X17 X16 X14) (= X16 X17)))) (forall ((X18 $$unsorted) (X19 $$unsorted)) (=> (tptp.root X19 X18) (exists ((X20 $$unsorted)) (and (tptp.subactivity X20 X18) (tptp.atocc X19 X20))))) (forall ((X21 $$unsorted) (X22 $$unsorted) (X23 $$unsorted)) (=> (tptp.min_precedes X22 X23 X21) (exists ((X24 $$unsorted)) (and (tptp.occurrence_of X24 X21) (tptp.subactivity_occurrence X22 X24) (tptp.subactivity_occurrence X23 X24))))) (forall ((X25 $$unsorted) (X26 $$unsorted)) (=> (and (tptp.leaf X25 X26) (not (tptp.atomic X26))) (exists ((X27 $$unsorted)) (and (tptp.occurrence_of X27 X26) (tptp.leaf_occ X25 X27))))) _let_12 (forall ((X31 $$unsorted) (X32 $$unsorted) (X33 $$unsorted)) (=> (and (tptp.occurrence_of X31 X33) (tptp.leaf_occ X32 X31)) (not (exists ((X34 $$unsorted)) (tptp.min_precedes X32 X34 X33))))) (forall ((X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted)) (=> (and (tptp.occurrence_of X35 X37) (tptp.root_occ X36 X35)) (not (exists ((X38 $$unsorted)) (tptp.min_precedes X38 X36 X37))))) (forall ((X39 $$unsorted) (X40 $$unsorted)) (=> (tptp.subactivity_occurrence X39 X40) (and (tptp.activity_occurrence X39) (tptp.activity_occurrence X40)))) (forall ((X41 $$unsorted)) (=> (tptp.activity_occurrence X41) (exists ((X42 $$unsorted)) (and (tptp.activity X42) (tptp.occurrence_of X41 X42))))) (forall ((X43 $$unsorted)) (=> (tptp.legal X43) (tptp.arboreal X43))) (forall ((X44 $$unsorted) (X45 $$unsorted)) (= (tptp.atocc X44 X45) (exists ((X46 $$unsorted)) (and (tptp.subactivity X45 X46) (tptp.atomic X46) (tptp.occurrence_of X44 X46))))) (forall ((X47 $$unsorted) (X48 $$unsorted)) (= (tptp.leaf X47 X48) (and (or (tptp.root X47 X48) (exists ((X49 $$unsorted)) (tptp.min_precedes X49 X47 X48))) (not (exists ((X50 $$unsorted)) (tptp.min_precedes X47 X50 X48)))))) _let_11 (forall ((X53 $$unsorted) (X54 $$unsorted)) (=> (tptp.root X53 X54) (tptp.legal X53))) _let_10 _let_9 (forall ((X61 $$unsorted) (X62 $$unsorted)) (=> (tptp.earlier X61 X62) (not (tptp.earlier X62 X61)))) (forall ((X63 $$unsorted) (X64 $$unsorted)) (= (tptp.precedes X63 X64) (and (tptp.earlier X63 X64) (tptp.legal X64)))) _let_8 (forall ((X68 $$unsorted) (X69 $$unsorted) (X70 $$unsorted)) (=> (tptp.min_precedes X68 X69 X70) (exists ((X71 $$unsorted)) (and (tptp.root X71 X70) (tptp.min_precedes X71 X69 X70))))) (forall ((X72 $$unsorted) (X73 $$unsorted) (X74 $$unsorted)) (=> (tptp.min_precedes X72 X73 X74) (tptp.precedes X72 X73))) (forall ((X75 $$unsorted) (X76 $$unsorted) (X77 $$unsorted)) (=> (tptp.next_subocc X75 X76 X77) (and (tptp.arboreal X75) (tptp.arboreal X76)))) _let_7 (forall ((X82 $$unsorted) (X83 $$unsorted) (X84 $$unsorted) (X85 $$unsorted)) (=> (and (tptp.min_precedes X82 X83 X84) (tptp.occurrence_of X85 X84) (tptp.subactivity_occurrence X83 X85)) (tptp.subactivity_occurrence X82 X85))) (forall ((X86 $$unsorted) (X87 $$unsorted) (X88 $$unsorted) (X89 $$unsorted)) (=> (and (tptp.occurrence_of X88 X89) (not (tptp.atomic X89)) (tptp.leaf_occ X86 X88) (tptp.leaf_occ X87 X88)) (= X86 X87))) _let_6 (forall ((X94 $$unsorted) (X95 $$unsorted) (X96 $$unsorted)) (=> (and (tptp.earlier X94 X95) (tptp.earlier X95 X96)) (tptp.earlier X94 X96))) (forall ((X97 $$unsorted) (X98 $$unsorted) (X99 $$unsorted) (X100 $$unsorted)) (=> (and (tptp.min_precedes X97 X98 X100) (tptp.min_precedes X97 X99 X100) (tptp.precedes X98 X99)) (tptp.min_precedes X98 X99 X100))) _let_5 (tptp.activity tptp.tptp0) _let_4 (tptp.atomic tptp.tptp4) (tptp.atomic tptp.tptp2) (tptp.atomic tptp.tptp1) _let_2 (not (= tptp.tptp4 tptp.tptp3)) (not (= tptp.tptp4 tptp.tptp2)) (not (= tptp.tptp4 tptp.tptp1)) (not (= tptp.tptp3 tptp.tptp2)) (not (= tptp.tptp3 tptp.tptp1)) (not (= tptp.tptp2 tptp.tptp1)) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.43/0.69 )
% 0.43/0.69 % SZS output end Proof for PRO009+4
% 0.43/0.69 % cvc5---1.0.5 exiting
% 0.43/0.69 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------