TSTP Solution File: PRO003+2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PRO003+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:06:16 EDT 2023
% Result : Theorem 28.47s 28.71s
% Output : Proof 28.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : PRO003+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n024.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 19:31:53 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 28.47/28.71 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.mKfZCzKcZk/cvc5---1.0.5_16701.p...
% 28.47/28.71 ------- get file name : TPTP file name is PRO003+2
% 28.47/28.71 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16701.smt2...
% 28.47/28.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 28.47/28.71 --- Run --no-e-matching --full-saturate-quant at 5...
% 28.47/28.71 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 28.47/28.71 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 28.47/28.71 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 28.47/28.71 % SZS status Theorem for PRO003+2
% 28.47/28.71 % SZS output start Proof for PRO003+2
% 28.47/28.71 (
% 28.47/28.71 (let ((_let_1 (not (not (exists ((X101 $$unsorted)) (tptp.occurrence_of X101 tptp.tptp0)))))) (let ((_let_2 (forall ((X98 $$unsorted) (X99 $$unsorted)) (=> (and (tptp.occurrence_of X99 tptp.tptp0) (tptp.root_occ X98 X99)) (exists ((X100 $$unsorted)) (and (tptp.occurrence_of X100 tptp.tptp1) (tptp.next_subocc X98 X100 tptp.tptp0))))))) (let ((_let_3 (not (= tptp.tptp1 tptp.tptp3)))) (let ((_let_4 (forall ((X95 $$unsorted)) (=> (tptp.occurrence_of X95 tptp.tptp0) (exists ((X96 $$unsorted) (X97 $$unsorted)) (and (tptp.occurrence_of X96 tptp.tptp4) (tptp.root_occ X96 X95) (tptp.occurrence_of X97 tptp.tptp3) (tptp.leaf_occ X97 X95) (tptp.next_subocc X96 X97 tptp.tptp0))))))) (let ((_let_5 (forall ((X85 $$unsorted) (X86 $$unsorted) (X87 $$unsorted) (X88 $$unsorted)) (=> (and (tptp.occurrence_of X86 X85) (tptp.arboreal X87) (tptp.arboreal X88) (tptp.subactivity_occurrence X87 X86) (tptp.subactivity_occurrence X88 X86)) (or (tptp.min_precedes X87 X88 X85) (tptp.min_precedes X88 X87 X85) (= X87 X88)))))) (let ((_let_6 (forall ((X70 $$unsorted) (X71 $$unsorted) (X72 $$unsorted)) (=> (tptp.min_precedes X71 X72 X70) (exists ((X73 $$unsorted)) (and (tptp.occurrence_of X73 X70) (tptp.subactivity_occurrence X71 X73) (tptp.subactivity_occurrence X72 X73))))))) (let ((_let_7 (forall ((X64 $$unsorted) (X65 $$unsorted) (X66 $$unsorted)) (=> (and (tptp.occurrence_of X64 X65) (tptp.occurrence_of X64 X66)) (= X65 X66))))) (let ((_let_8 (forall ((X60 $$unsorted) (X61 $$unsorted) (X62 $$unsorted)) (=> (and (tptp.occurrence_of X60 X62) (tptp.leaf_occ X61 X60)) (not (exists ((X63 $$unsorted)) (tptp.min_precedes X61 X63 X62))))))) (let ((_let_9 (forall ((X35 $$unsorted) (X36 $$unsorted)) (= (tptp.leaf_occ X35 X36) (exists ((X37 $$unsorted)) (and (tptp.occurrence_of X36 X37) (tptp.subactivity_occurrence X35 X36) (tptp.leaf X35 X37))))))) (let ((_let_10 (forall ((X32 $$unsorted) (X33 $$unsorted)) (= (tptp.root_occ X32 X33) (exists ((X34 $$unsorted)) (and (tptp.occurrence_of X33 X34) (tptp.subactivity_occurrence X32 X33) (tptp.root X32 X34))))))) (let ((_let_11 (forall ((X19 $$unsorted) (X20 $$unsorted) (X21 $$unsorted)) (=> (tptp.next_subocc X19 X20 X21) (and (tptp.arboreal X19) (tptp.arboreal X20)))))) (let ((_let_12 (forall ((X15 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (= (tptp.next_subocc X15 X16 X17) (and (tptp.min_precedes X15 X16 X17) (not (exists ((X18 $$unsorted)) (and (tptp.min_precedes X15 X18 X17) (tptp.min_precedes X18 X16 X17))))))))) (let ((_let_13 (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted)) (=> (and (tptp.occurrence_of X9 X10) (tptp.root_occ X7 X9) (tptp.root_occ X8 X9)) (= X7 X8))))) (let ((_let_14 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.tptp0))) (let ((_let_15 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.tptp0))) (let ((_let_16 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78))) (let ((_let_17 (and _let_14 (forall ((X18 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 X18 tptp.tptp0)) (not (tptp.min_precedes X18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.tptp0))))))) (let ((_let_18 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.tptp0))) (let ((_let_19 (= _let_18 _let_17))) (let ((_let_20 (forall ((X15 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (= (tptp.next_subocc X15 X16 X17) (and (tptp.min_precedes X15 X16 X17) (forall ((X18 $$unsorted)) (or (not (tptp.min_precedes X15 X18 X17)) (not (tptp.min_precedes X18 X16 X17))))))))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (_let_20))) (let ((_let_23 ((tptp.next_subocc X15 X16 X17)))) (let ((_let_24 (not _let_18))) (let ((_let_25 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.tptp1))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24))) (let ((_let_28 (forall ((X100 $$unsorted)) (or (not (tptp.occurrence_of X100 tptp.tptp1)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 X100 tptp.tptp0)))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (not _let_28))) (let ((_let_31 (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32 _let_30))) (let ((_let_36 (forall ((X98 $$unsorted) (X99 $$unsorted)) (or (not (tptp.occurrence_of X99 tptp.tptp0)) (not (tptp.root_occ X98 X99)) (not (forall ((X100 $$unsorted)) (or (not (tptp.occurrence_of X100 tptp.tptp1)) (not (tptp.next_subocc X98 X100 tptp.tptp0))))))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.tptp4)) _let_32 (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp3)) (not (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))))) (let ((_let_39 (forall ((X96 $$unsorted) (X97 $$unsorted)) (or (not (tptp.occurrence_of X96 tptp.tptp4)) (not (tptp.root_occ X96 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.occurrence_of X97 tptp.tptp3)) (not (tptp.leaf_occ X97 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.next_subocc X96 X97 tptp.tptp0)))))) (let ((_let_40 (not _let_38))) (let ((_let_41 (not _let_39))) (let ((_let_42 (or _let_34 _let_41))) (let ((_let_43 (forall ((X95 $$unsorted)) (or (not (tptp.occurrence_of X95 tptp.tptp0)) (not (forall ((X96 $$unsorted) (X97 $$unsorted)) (or (not (tptp.occurrence_of X96 tptp.tptp4)) (not (tptp.root_occ X96 X95)) (not (tptp.occurrence_of X97 tptp.tptp3)) (not (tptp.leaf_occ X97 X95)) (not (tptp.next_subocc X96 X97 tptp.tptp0))))))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (_let_43))) (let ((_let_46 ((not (= (tptp.occurrence_of X95 tptp.tptp0) false))))) (let ((_let_47 (forall ((X101 $$unsorted)) (not (tptp.occurrence_of X101 tptp.tptp0))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (or))) (let ((_let_50 (not _let_47))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_48) :args (_let_50)) (REWRITE :args ((=> _let_50 (not _let_34)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_47))) (REFL :args (_let_33)) :args _let_49)) _let_48 :args (_let_33 true _let_47)))) (let ((_let_52 (_let_41))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 1)) (CONG (REFL :args (_let_38)) (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_49)) :args ((or _let_31 _let_38))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_52)) :args _let_52)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_39))) (REFL :args (_let_40)) :args _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_34 _let_41 (not _let_42)))) _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_42 false _let_43)) :args (_let_41 false _let_33 false _let_42)) :args (_let_40 true _let_39)) :args (_let_31 true _let_38)))) (let ((_let_54 (_let_30))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_54)) :args _let_54)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_28))) (REFL :args (_let_29)) :args _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_32 _let_30 (not _let_35)))) _let_51 _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.root_occ X98 X99) false))))) :args (_let_36))) _let_37 :args (_let_35 false _let_36)) :args (_let_30 false _let_33 false _let_31 false _let_35)) :args (_let_29 true _let_28)))) (let ((_let_56 (REFL :args (_let_27)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 1)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_18))) :args _let_49)) :args ((or _let_18 _let_27))) _let_55 :args (_let_18 true _let_27)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_17 0)) :args ((or _let_14 (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_19)) :args ((or _let_24 _let_17 (not _let_19)))) _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_22)) _let_21 :args (_let_19 false _let_20)) :args (_let_17 false _let_18 false _let_19)) :args (_let_14 false _let_17)))) (let ((_let_59 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 tptp.tptp0))) (let ((_let_60 (not _let_59))) (let ((_let_61 (not _let_15))) (let ((_let_62 (or _let_61 _let_60))) (let ((_let_63 (forall ((X18 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 X18 tptp.tptp0)) (not (tptp.min_precedes X18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 tptp.tptp0)))))) (let ((_let_64 (and (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 tptp.tptp0) _let_63))) (let ((_let_65 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 tptp.tptp0))) (let ((_let_66 (= _let_65 _let_64))) (let ((_let_67 (not _let_65))) (let ((_let_68 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 tptp.tptp3))) (let ((_let_71 (not _let_70))) (let ((_let_72 (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 tptp.tptp4)) _let_73 _let_71 _let_69 _let_67))) (let ((_let_75 (forall ((X96 $$unsorted) (X97 $$unsorted)) (or (not (tptp.occurrence_of X96 tptp.tptp4)) (not (tptp.root_occ X96 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30)) (not (tptp.occurrence_of X97 tptp.tptp3)) (not (tptp.leaf_occ X97 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30)) (not (tptp.next_subocc X96 X97 tptp.tptp0)))))) (let ((_let_76 (not _let_74))) (let ((_let_77 (not _let_75))) (let ((_let_78 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 tptp.tptp0))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_79 _let_77))) (let ((_let_81 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_82 (not _let_81))) (let ((_let_83 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_79 _let_84 _let_82))) (let ((_let_86 (forall ((X73 $$unsorted)) (or (not (tptp.occurrence_of X73 tptp.tptp0)) (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 X73)) (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 X73)))))) (let ((_let_87 (not _let_85))) (let ((_let_88 (not _let_86))) (let ((_let_89 (not _let_14))) (let ((_let_90 (or _let_89 _let_88))) (let ((_let_91 (forall ((X70 $$unsorted) (X71 $$unsorted) (X72 $$unsorted)) (or (not (tptp.min_precedes X71 X72 X70)) (not (forall ((X73 $$unsorted)) (or (not (tptp.occurrence_of X73 X70)) (not (tptp.subactivity_occurrence X71 X73)) (not (tptp.subactivity_occurrence X72 X73))))))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (_let_88))) (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_88) _let_86))) (REFL :args (_let_87)) :args _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_89 _let_88 (not _let_90)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.min_precedes X71 X72 X70) false))))) :args (_let_91))) _let_92 :args (_let_90 false _let_91)) :args (_let_88 false _let_14 false _let_90)) :args (_let_87 true _let_86)))) (let ((_let_95 (REFL :args (_let_85)))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_85 0)) (CONG _let_95 (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_78))) :args _let_49)) :args ((or _let_78 _let_85))) _let_94 :args (_let_78 true _let_85)))) (let ((_let_97 (_let_77))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_97)) :args _let_97)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_75))) (REFL :args (_let_76)) :args _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_79 _let_77 (not _let_80)))) _let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_80 false _let_43)) :args (_let_77 false _let_78 false _let_80)) :args (_let_76 true _let_75)))) (let ((_let_99 (REFL :args (_let_74)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 4)) (CONG _let_99 (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_65))) :args _let_49)) :args ((or _let_65 _let_74))) _let_98 :args (_let_65 true _let_74)))) (let ((_let_101 (_let_63))) (let ((_let_102 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79))) (let ((_let_103 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.tptp0))) (let ((_let_104 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_105 (not _let_104))) (let ((_let_106 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79))) (let ((_let_107 (not _let_106))) (let ((_let_108 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_109 (not _let_108))) (let ((_let_110 (or _let_79 _let_109 _let_107 _let_82 _let_105 _let_59 _let_103 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:args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.leaf_occ X35 X36)))) :args (_let_120))) _let_121 :args (_let_119 false _let_120)) :args (_let_118 false _let_68 false _let_119)) :args (_let_104 false _let_118)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_79 _let_69 _let_113 (not _let_114)))) _let_96 _let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_115))) _let_116 :args (_let_114 false _let_115)) :args (_let_113 false _let_78 false _let_68 false _let_114)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_111))) _let_112 :args (_let_110 false _let_111)) :args (_let_59 false _let_108 false _let_78 false _let_81 true _let_102 false _let_106 false _let_104 true _let_103 false _let_110)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_101) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 X18 tptp.tptp0) false))))) :args _let_101)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_64 1)) :args ((or _let_63 (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_66)) :args ((or _let_67 _let_64 (not _let_66)))) _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_22)) _let_21 :args (_let_66 false _let_20)) :args (_let_64 false _let_65 false _let_66)) :args (_let_63 false _let_64)) :args (_let_62 false _let_63)) :args (_let_61 false _let_59 false _let_62)) _let_58 :args (false false _let_16 true _let_15 false _let_14)) :args ((forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (=> (and (tptp.min_precedes X0 X1 X3) (tptp.min_precedes X1 X2 X3)) (tptp.min_precedes X0 X2 X3))) (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (=> (and (tptp.earlier X4 X5) (tptp.earlier X5 X6)) (tptp.earlier X4 X6))) _let_13 (forall ((X11 $$unsorted) (X12 $$unsorted) (X13 $$unsorted) (X14 $$unsorted)) (=> (and (tptp.occurrence_of X13 X14) (not (tptp.atomic X14)) (tptp.leaf_occ X11 X13) (tptp.leaf_occ X12 X13)) (= X11 X12))) _let_12 _let_11 (forall ((X22 $$unsorted) (X23 $$unsorted) (X24 $$unsorted)) (=> (tptp.min_precedes X22 X23 X24) (tptp.precedes X22 X23))) (forall ((X25 $$unsorted) (X26 $$unsorted) (X27 $$unsorted)) (=> (tptp.min_precedes X25 X26 X27) (not (tptp.root X26 X27)))) (forall ((X28 $$unsorted) (X29 $$unsorted)) (= (tptp.precedes X28 X29) (and (tptp.earlier X28 X29) (tptp.legal X29)))) (forall ((X30 $$unsorted) (X31 $$unsorted)) (=> (tptp.earlier X30 X31) (not (tptp.earlier X31 X30)))) _let_10 _let_9 (forall ((X38 $$unsorted) (X39 $$unsorted)) (=> (tptp.root X38 X39) (tptp.legal X38))) (forall ((X40 $$unsorted) (X41 $$unsorted)) (=> (tptp.occurrence_of X40 X41) (= (tptp.arboreal X40) (tptp.atomic X41)))) (forall ((X42 $$unsorted) (X43 $$unsorted)) (= (tptp.leaf X42 X43) (and (or (tptp.root X42 X43) (exists ((X44 $$unsorted)) (tptp.min_precedes X44 X42 X43))) (not (exists ((X45 $$unsorted)) (tptp.min_precedes X42 X45 X43)))))) (forall ((X46 $$unsorted) (X47 $$unsorted)) (= (tptp.atocc X46 X47) (exists ((X48 $$unsorted)) (and (tptp.subactivity X47 X48) (tptp.atomic X48) (tptp.occurrence_of X46 X48))))) (forall ((X49 $$unsorted) (X50 $$unsorted)) (=> (and (tptp.atocc X49 X50) (tptp.legal X49)) (tptp.root X49 X50))) (forall ((X51 $$unsorted)) (=> (tptp.legal X51) (tptp.arboreal X51))) (forall ((X52 $$unsorted)) (=> (tptp.activity_occurrence X52) (exists ((X53 $$unsorted)) (and (tptp.activity X53) (tptp.occurrence_of X52 X53))))) (forall ((X54 $$unsorted) (X55 $$unsorted)) (=> (tptp.subactivity_occurrence X54 X55) (and (tptp.activity_occurrence X54) (tptp.activity_occurrence X55)))) (forall ((X56 $$unsorted) (X57 $$unsorted) (X58 $$unsorted)) (=> (and (tptp.occurrence_of X56 X58) (tptp.root_occ X57 X56)) (not (exists ((X59 $$unsorted)) (tptp.min_precedes X59 X57 X58))))) _let_8 _let_7 (forall ((X67 $$unsorted) (X68 $$unsorted)) (=> (and (tptp.leaf X67 X68) (not (tptp.atomic X68))) (exists ((X69 $$unsorted)) (and (tptp.occurrence_of X69 X68) (tptp.leaf_occ X67 X69))))) _let_6 (forall ((X74 $$unsorted) (X75 $$unsorted)) (=> (and (tptp.leaf X74 X75) (not (tptp.atomic X75))) (exists ((X76 $$unsorted)) (and (tptp.occurrence_of X76 X75) (tptp.leaf_occ X74 X76))))) (forall ((X77 $$unsorted) (X78 $$unsorted) (X79 $$unsorted)) (=> (tptp.min_precedes X78 X79 X77) (exists ((X80 $$unsorted) (X81 $$unsorted)) (and (tptp.subactivity X80 X77) (tptp.subactivity X81 X77) (tptp.atocc X78 X80) (tptp.atocc X79 X81))))) (forall ((X82 $$unsorted) (X83 $$unsorted)) (=> (tptp.root X83 X82) (exists ((X84 $$unsorted)) (and (tptp.subactivity X84 X82) (tptp.atocc X83 X84))))) _let_5 (forall ((X89 $$unsorted) (X90 $$unsorted)) (=> (tptp.occurrence_of X90 X89) (and (tptp.activity X89) (tptp.activity_occurrence X90)))) (forall ((X91 $$unsorted) (X92 $$unsorted)) (=> (and (tptp.occurrence_of X92 X91) (not (tptp.atomic X91))) (exists ((X93 $$unsorted)) (and (tptp.root X93 X91) (tptp.subactivity_occurrence X93 X92))))) (forall ((X94 $$unsorted)) (=> (tptp.activity X94) (tptp.subactivity X94 X94))) _let_4 (tptp.activity tptp.tptp0) (not (tptp.atomic tptp.tptp0)) (tptp.atomic tptp.tptp4) (tptp.atomic tptp.tptp3) (tptp.atomic tptp.tptp2) (tptp.atomic tptp.tptp1) (not (= tptp.tptp4 tptp.tptp1)) (not (= tptp.tptp4 tptp.tptp3)) (not (= tptp.tptp4 tptp.tptp2)) _let_3 (not (= tptp.tptp1 tptp.tptp2)) (not (= tptp.tptp3 tptp.tptp2)) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 28.54/28.72 )
% 28.54/28.72 % SZS output end Proof for PRO003+2
% 28.54/28.72 % cvc5---1.0.5 exiting
% 28.54/28.73 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------