TSTP Solution File: PRO006+2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PRO006+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 13:06:19 EDT 2023
% Result : Theorem 27.87s 28.11s
% Output : Proof 27.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PRO006+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 19:49:49 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 27.87/28.11 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.gbU81UeVKV/cvc5---1.0.5_6291.p...
% 27.87/28.11 ------- get file name : TPTP file name is PRO006+2
% 27.87/28.11 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6291.smt2...
% 27.87/28.11 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 27.87/28.11 --- Run --no-e-matching --full-saturate-quant at 5...
% 27.87/28.11 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 27.87/28.11 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 27.87/28.11 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 27.87/28.11 % SZS status Theorem for PRO006+2
% 27.87/28.11 % SZS output start Proof for PRO006+2
% 27.87/28.11 (
% 27.87/28.11 (let ((_let_1 (not (not (exists ((X101 $$unsorted)) (tptp.occurrence_of X101 tptp.tptp0)))))) (let ((_let_2 (forall ((X98 $$unsorted) (X99 $$unsorted)) (=> (and (tptp.occurrence_of X99 tptp.tptp0) (tptp.subactivity_occurrence X98 X99) (tptp.arboreal X98) (not (tptp.leaf_occ X98 X99))) (exists ((X100 $$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 (tptp.atomic tptp.tptp1))) (let ((_let_5 (tptp.atomic tptp.tptp3))) (let ((_let_6 (tptp.atomic tptp.tptp0))) (let ((_let_7 (not _let_6))) (let ((_let_8 (forall ((X95 $$unsorted)) (=> (tptp.occurrence_of X95 tptp.tptp0) (exists ((X96 $$unsorted) (X97 $$unsorted)) (and (tptp.occurrence_of X96 tptp.tptp4) (tptp.root_occ X96 X95) (tptp.occurrence_of X97 tptp.tptp3) (tptp.leaf_occ X97 X95) (tptp.next_subocc X96 X97 tptp.tptp0))))))) (let ((_let_9 (forall ((X91 $$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))))))) (let ((_let_10 (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_11 (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_12 (forall ((X64 $$unsorted) (X65 $$unsorted) (X66 $$unsorted)) (=> (and (tptp.occurrence_of X64 X65) (tptp.occurrence_of X64 X66)) (= X65 X66))))) (let ((_let_13 (forall ((X51 $$unsorted)) (=> (tptp.legal X51) (tptp.arboreal X51))))) (let ((_let_14 (forall ((X40 $$unsorted) (X41 $$unsorted)) (=> (tptp.occurrence_of X40 X41) (= (tptp.arboreal X40) (tptp.atomic X41)))))) (let ((_let_15 (forall ((X38 $$unsorted) (X39 $$unsorted)) (=> (tptp.root X38 X39) (tptp.legal X38))))) (let ((_let_16 (forall ((X35 $$unsorted) (X36 $$unsorted)) (= (tptp.leaf_occ X35 X36) (exists ((X37 $$unsorted)) (and (tptp.occurrence_of X36 X37) (tptp.subactivity_occurrence X35 X36) (tptp.leaf X35 X37))))))) (let ((_let_17 (forall ((X32 $$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_18 (forall ((X25 $$unsorted) (X26 $$unsorted) (X27 $$unsorted)) (=> (tptp.min_precedes X25 X26 X27) (not (tptp.root X26 X27)))))) (let ((_let_19 (forall ((X15 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (= (tptp.next_subocc X15 X16 X17) (and (tptp.min_precedes X15 X16 X17) (not (exists ((X18 $$unsorted)) (and (tptp.min_precedes X15 X18 X17) (tptp.min_precedes X18 X16 X17))))))))) (let ((_let_20 (forall ((X11 $$unsorted) (X12 $$unsorted) (X13 $$unsorted) (X14 $$unsorted)) (=> (and (tptp.occurrence_of X13 X14) (not (tptp.atomic X14)) (tptp.leaf_occ X11 X13) (tptp.leaf_occ X12 X13)) (= X11 X12))))) (let ((_let_21 (forall ((X7 $$unsorted) (X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted)) (=> (and (tptp.occurrence_of X9 X10) (tptp.root_occ X7 X9) (tptp.root_occ X8 X9)) (= X7 X8))))) (let ((_let_22 (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.tptp0))) (let ((_let_23 (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_24 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_25 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_26 (not _let_25))) (let ((_let_27 (not _let_22))) (let ((_let_28 (or _let_27 _let_26))) (let ((_let_29 (forall ((X93 $$unsorted)) (or (not (tptp.root X93 tptp.tptp0)) (not (tptp.subactivity_occurrence X93 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_30 (not _let_28))) (let ((_let_31 (not _let_29))) (let ((_let_32 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_6 _let_31))) (let ((_let_35 (forall ((X91 $$unsorted) (X92 $$unsorted)) (or (not (tptp.occurrence_of X92 X91)) (tptp.atomic X91) (not (forall ((X93 $$unsorted)) (or (not (tptp.root X93 X91)) (not (tptp.subactivity_occurrence X93 X92))))))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (forall ((X101 $$unsorted)) (not (tptp.occurrence_of X101 tptp.tptp0))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (or))) (let ((_let_40 (not _let_37))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_38) :args (_let_40)) (REWRITE :args ((=> _let_40 (not _let_33)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_37))) (REFL :args (_let_32)) :args _let_39)) _let_38 :args (_let_32 true _let_37)))) (let ((_let_42 (ASSUME :args (_let_7)))) (let ((_let_43 (_let_31))) (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_31) _let_29))) (REFL :args (_let_30)) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_6 _let_33 _let_31 (not _let_34)))) _let_42 _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.occurrence_of X92 X91) false))))) :args (_let_35))) _let_36 :args (_let_34 false _let_35)) :args (_let_31 true _let_6 false _let_32 false _let_34)) :args (_let_30 true _let_29)))) (let ((_let_45 (REFL :args (_let_28)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 0)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_22))) :args _let_39)) :args ((or _let_22 _let_28))) _let_44 :args (_let_22 true _let_28)))) (let ((_let_47 (not _let_23))) (let ((_let_48 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_47))) (let ((_let_51 (forall ((X25 $$unsorted) (X26 $$unsorted) (X27 $$unsorted)) (or (not (tptp.min_precedes X25 X26 X27)) (not (tptp.root X26 X27)))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (and _let_48 (forall ((X18 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 X18 tptp.tptp0)) (not (tptp.min_precedes X18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))))))) (let ((_let_54 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_55 (= _let_54 _let_53))) (let ((_let_56 (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_57 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (_let_56))) (let ((_let_59 ((tptp.next_subocc X15 X16 X17)))) (let ((_let_60 (not _let_54))) (let ((_let_61 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.tptp4)) (not (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp3)) _let_62 _let_60))) (let ((_let_64 (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_65 (not _let_63))) (let ((_let_66 (not _let_64))) (let ((_let_67 (or _let_33 _let_66))) (let ((_let_68 (forall ((X95 $$unsorted)) (or (not (tptp.occurrence_of X95 tptp.tptp0)) (not (forall ((X96 $$unsorted) (X97 $$unsorted)) (or (not (tptp.occurrence_of X96 tptp.tptp4)) (not (tptp.root_occ X96 X95)) (not (tptp.occurrence_of X97 tptp.tptp3)) (not (tptp.leaf_occ X97 X95)) (not (tptp.next_subocc X96 X97 tptp.tptp0))))))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (_let_68))) (let ((_let_71 ((not (= (tptp.occurrence_of X95 tptp.tptp0) false))))) (let ((_let_72 (_let_66))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_72)) :args _let_72)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_64))) (REFL :args (_let_65)) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_33 _let_66 (not _let_67)))) _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_70)) _let_69 :args (_let_67 false _let_68)) :args (_let_66 false _let_32 false _let_67)) :args (_let_65 true _let_64)))) (let ((_let_74 (REFL :args (_let_63)))) (let ((_let_75 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_33 _let_6 _let_76 _let_62 _let_24))) (let ((_let_78 (forall ((X11 $$unsorted) (X12 $$unsorted) (X13 $$unsorted) (X14 $$unsorted)) (or (not (tptp.occurrence_of X13 X14)) (tptp.atomic X14) (not (tptp.leaf_occ X11 X13)) (not (tptp.leaf_occ X12 X13)) (= X11 X12))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (forall ((X100 $$unsorted)) (or (not (tptp.occurrence_of X100 tptp.tptp1)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X100 tptp.tptp0)))))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_33 _let_26 _let_83 _let_75 _let_81))) (let ((_let_85 (forall ((X98 $$unsorted) (X99 $$unsorted)) (or (not (tptp.occurrence_of X99 tptp.tptp0)) (not (tptp.subactivity_occurrence X98 X99)) (not (tptp.arboreal X98)) (tptp.leaf_occ X98 X99) (not (forall ((X100 $$unsorted)) (or (not (tptp.occurrence_of X100 tptp.tptp1)) (not (tptp.next_subocc X98 X100 tptp.tptp0))))))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 tptp.tptp0))) (let ((_let_88 (not _let_87))) (let ((_let_89 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 tptp.tptp1))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_90 _let_88))) (let ((_let_92 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_93 (= _let_4 _let_92))) (let ((_let_94 (or _let_90 _let_93))) (let ((_let_95 (forall ((X18 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X18 tptp.tptp0)) (not (tptp.min_precedes X18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 tptp.tptp0)))))) (let ((_let_96 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 tptp.tptp0))) (let ((_let_97 (and _let_96 _let_95))) (let ((_let_98 (= _let_87 _let_97))) (let ((_let_99 (forall ((X73 $$unsorted)) (or (not (tptp.occurrence_of X73 tptp.tptp0)) (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X73)) (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 X73)))))) (let ((_let_100 (not _let_99))) (let ((_let_101 (not _let_96))) (let ((_let_102 (or _let_101 _let_100))) (let ((_let_103 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 tptp.tptp0))) (let ((_let_104 (not _let_103))) (let ((_let_105 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_85 tptp.tptp0))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_106 _let_104))) (let ((_let_108 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42))) (let ((_let_109 (not _let_108))) (let ((_let_110 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42))) (let ((_let_111 (not _let_110))) (let ((_let_112 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 tptp.tptp0))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_113 _let_111 _let_109))) (let ((_let_115 (forall ((X96 $$unsorted) (X97 $$unsorted)) (or (not (tptp.occurrence_of X96 tptp.tptp4)) (not (tptp.root_occ X96 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (tptp.occurrence_of X97 tptp.tptp3)) (not (tptp.leaf_occ X97 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (tptp.next_subocc X96 X97 tptp.tptp0)))))) (let ((_let_116 (not _let_115))) (let ((_let_117 (or _let_113 _let_116))) (let ((_let_118 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_84 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_85 tptp.tptp0))) (let ((_let_119 (not _let_118))) (let ((_let_120 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42))) (let ((_let_121 (not _let_120))) (let ((_let_122 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_85 tptp.tptp3))) (let ((_let_123 (not _let_122))) (let ((_let_124 (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_84 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42))) (let ((_let_125 (not _let_124))) (let ((_let_126 (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_84 tptp.tptp4)) _let_125 _let_123 _let_121 _let_119))) (let ((_let_127 (= tptp.tptp3 tptp.tptp1))) (let ((_let_128 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_85 tptp.tptp1))) (let ((_let_129 (not _let_128))) (let ((_let_130 (or _let_123 _let_129 _let_127))) (let ((_let_131 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_85))) (let ((_let_132 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_84))) (let ((_let_133 (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42))) (let ((_let_134 (not _let_133))) (let ((_let_135 (or _let_113 _let_134 _let_125 _let_132))) (let ((_let_136 (forall ((X34 $$unsorted)) (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 X34)) (not (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X34)))))) (let ((_let_137 (not _let_136))) (let ((_let_138 (and _let_110 _let_137))) (let ((_let_139 (= 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((or _let_101 _let_182 _let_131 (not _let_132) _let_184) false _let_183 true _let_103 true _let_175 false _let_105 false _let_177 false _let_172 false _let_179 false _let_171 false _let_173 false _let_174 false _let_56 false _let_118 false _let_108 false _let_168 false _let_5 false _let_169 false _let_170 false _let_142 false _let_122 false _let_165 false _let_166 false _let_167 false _let_164 false _let_120 true _let_126 true _let_115 false _let_117 false _let_68 false _let_112 true _let_114 true _let_99 false _let_102 false _let_147)) (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_129)))) (CONG (SYMM (ASSUME :args (_let_131))) (REFL :args (tptp.tptp1)) :args (APPLY_UF tptp.occurrence_of)) (TRUE_INTRO (ASSUME :args (_let_89))))) :args (_let_89 _let_131 _let_129))) (CONG (REFL :args (_let_90)) (REFL :args ((not _let_131))) (MACRO_SR_PRED_INTRO :args ((= (not _let_129) _let_128))) :args _let_39)) (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_127 _let_123 _let_129 (not _let_130)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_85 tptp.tptp3 tptp.tptp1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_162))) _let_163 :args (_let_130 false _let_162)) (SYMM (ASSUME :args (_let_3))) _let_161 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_126 1)) (CONG _let_160 (MACRO_SR_PRED_INTRO :args ((= (not _let_125) _let_124))) :args _let_39)) :args ((or _let_124 _let_126))) _let_159 _let_157 (MACRO_RESOLUTION_TRUST _let_156 _let_69 :args (_let_117 false _let_68)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_114 1)) (CONG _let_154 (MACRO_SR_PRED_INTRO :args ((= (not _let_111) _let_110))) :args _let_39)) :args ((or _let_110 _let_114))) _let_155 _let_153 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_151) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_85 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X18 tptp.tptp0) false))))) :args _let_151)) _let_150 (MACRO_RESOLUTION_TRUST _let_149 _let_148 :args (_let_102 false _let_147)) (REORDERING (CNF_AND_POS :args (_let_97 1)) :args ((or _let_95 _let_146))) (REORDERING (CNF_AND_POS :args (_let_97 0)) :args ((or _let_96 _let_146))) (REORDERING (CNF_EQUIV_POS1 :args (_let_93)) :args ((or (not _let_4) _let_92 (not _let_93)))) (ASSUME :args (_let_4)) (REORDERING (CNF_EQUIV_POS1 :args (_let_98)) :args ((or _let_88 _let_97 (not _let_98)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)) _let_57 :args (_let_98 false _let_56)) (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_90 _let_93 (not _let_94)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_143 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 tptp.tptp1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_145)) :args _let_144))) _let_143 :args (_let_94 false _let_142)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_91 1)) (CONG _let_141 (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_87))) :args _let_39)) :args ((or _let_87 _let_91))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_91 0)) (CONG _let_141 (MACRO_SR_PRED_INTRO :args ((= (not _let_90) _let_89))) :args _let_39)) :args ((or _let_89 _let_91))) :args (_let_91 true _let_140 false _let_22 false _let_136 true _let_138 false _let_139 true _let_133 false _let_135 true _let_132 true _let_131 true _let_128 false _let_130 true _let_127 false _let_122 false _let_124 true _let_126 true _let_115 false _let_117 false _let_110 false _let_112 true _let_114 false _let_107 true _let_99 false _let_102 false _let_95 false _let_96 false _let_92 false _let_4 false _let_97 false _let_98 false _let_93 false _let_94 false _let_87 false _let_89)) :args (_let_80 false _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subactivity_occurrence X98 X99) false))))) :args (_let_85))) _let_86 :args (_let_84 false _let_85)) :args (_let_75 false _let_32 false _let_25 false _let_82 false _let_80 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_78))) _let_79 :args (_let_77 false _let_78)) :args (_let_24 true _let_6 false _let_32 false _let_61 false _let_75 false _let_77)) (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_63 4)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_54))) :args _let_39)) :args ((or _let_54 _let_63))) _let_73 :args (_let_54 true _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)) _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_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.min_precedes X25 X26 X27) 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_24 true _let_23 false _let_22)) :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 $$unsorted)) (=> (and (tptp.earlier X4 X5) (tptp.earlier X5 X6)) (tptp.earlier X4 X6))) _let_21 _let_20 _let_19 (forall ((X19 $$unsorted) (X20 $$unsorted) (X21 $$unsorted)) (=> (tptp.next_subocc X19 X20 X21) (and (tptp.arboreal X19) (tptp.arboreal X20)))) (forall ((X22 $$unsorted) (X23 $$unsorted) (X24 $$unsorted)) (=> (tptp.min_precedes X22 X23 X24) (tptp.precedes X22 X23))) _let_18 (forall ((X28 $$unsorted) (X29 $$unsorted)) (= (tptp.precedes X28 X29) (and (tptp.earlier X28 X29) (tptp.legal X29)))) (forall ((X30 $$unsorted) (X31 $$unsorted)) (=> (tptp.earlier X30 X31) (not (tptp.earlier X31 X30)))) _let_17 _let_16 _let_15 _let_14 (forall ((X42 $$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))) _let_13 (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))))) (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_12 (forall ((X67 $$unsorted) (X68 $$unsorted)) (=> (and (tptp.leaf X67 X68) (not (tptp.atomic X68))) (exists ((X69 $$unsorted)) (and (tptp.occurrence_of X69 X68) (tptp.leaf_occ X67 X69))))) _let_11 (forall ((X74 $$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_10 (forall ((X89 $$unsorted) (X90 $$unsorted)) (=> (tptp.occurrence_of X90 X89) (and (tptp.activity X89) (tptp.activity_occurrence X90)))) _let_9 (forall ((X94 $$unsorted)) (=> (tptp.activity X94) (tptp.subactivity X94 X94))) _let_8 (tptp.activity tptp.tptp0) _let_7 (tptp.atomic tptp.tptp4) _let_5 (tptp.atomic tptp.tptp2) _let_4 (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 27.87/28.13 )
% 27.87/28.13 % SZS output end Proof for PRO006+2
% 27.87/28.13 % cvc5---1.0.5 exiting
% 27.87/28.13 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------