TSTP Solution File: PRO016+3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PRO016+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 13:06:27 EDT 2023
% Result : Theorem 12.54s 12.75s
% Output : Proof 12.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : PRO016+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n008.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 19:16:47 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 12.54/12.75 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.a09GxXV502/cvc5---1.0.5_32462.p...
% 12.54/12.75 ------- get file name : TPTP file name is PRO016+3
% 12.54/12.75 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_32462.smt2...
% 12.54/12.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 12.54/12.75 --- Run --no-e-matching --full-saturate-quant at 5...
% 12.54/12.75 % SZS status Theorem for PRO016+3
% 12.54/12.75 % SZS output start Proof for PRO016+3
% 12.54/12.75 (
% 12.54/12.75 (let ((_let_1 (not (forall ((X166 $$unsorted) (X167 $$unsorted)) (=> (and (tptp.occurrence_of X167 tptp.tptp0) (tptp.subactivity_occurrence X166 X167) (tptp.arboreal X166) (not (tptp.leaf_occ X166 X167))) (exists ((X168 $$unsorted) (X169 $$unsorted)) (let ((_let_1 (tptp.occurrence_of X169 tptp.tptp2))) (let ((_let_2 (tptp.occurrence_of X169 tptp.tptp1))) (and (tptp.occurrence_of X168 tptp.tptp3) (tptp.next_subocc X166 X168 tptp.tptp0) (or _let_2 _let_1) (tptp.min_precedes X168 X169 tptp.tptp0) (tptp.leaf_occ X169 X167) (=> _let_2 (not (exists ((X170 $$unsorted)) (and (tptp.occurrence_of X170 tptp.tptp2) (tptp.min_precedes X168 X170 tptp.tptp0))))) (=> _let_1 (not (exists ((X171 $$unsorted)) (and (tptp.occurrence_of X171 tptp.tptp1) (tptp.min_precedes X168 X171 tptp.tptp0)))))))))))))) (let ((_let_2 (tptp.atomic tptp.tptp3))) (let ((_let_3 (tptp.atomic tptp.tptp0))) (let ((_let_4 (not _let_3))) (let ((_let_5 (forall ((X161 $$unsorted) (X162 $$unsorted)) (=> (and (tptp.occurrence_of X162 tptp.tptp0) (tptp.subactivity_occurrence X161 X162) (tptp.arboreal X161) (not (tptp.leaf_occ X161 X162))) (exists ((X163 $$unsorted) (X164 $$unsorted) (X165 $$unsorted)) (and (tptp.occurrence_of X163 tptp.tptp3) (tptp.next_subocc X161 X163 tptp.tptp0) (tptp.occurrence_of X164 tptp.tptp4) (tptp.next_subocc X163 X164 tptp.tptp0) (or (tptp.occurrence_of X165 tptp.tptp1) (tptp.occurrence_of X165 tptp.tptp2)) (tptp.next_subocc X164 X165 tptp.tptp0) (tptp.leaf_occ X165 X162))))))) (let ((_let_6 (forall ((X126 $$unsorted) (X127 $$unsorted) (X128 $$unsorted) (X129 $$unsorted)) (=> (and (tptp.next_subocc X127 X126 X129) (tptp.next_subocc X128 X126 X129)) (= X127 X128))))) (let ((_let_7 (forall ((X113 $$unsorted) (X114 $$unsorted) (X115 $$unsorted)) (=> (and (tptp.occurrence_of X113 X115) (tptp.leaf_occ X114 X113)) (not (exists ((X116 $$unsorted)) (tptp.min_precedes X114 X116 X115))))))) (let ((_let_8 (forall ((X109 $$unsorted) (X110 $$unsorted) (X111 $$unsorted) (X112 $$unsorted)) (=> (and (tptp.occurrence_of X111 X112) (not (tptp.atomic X112)) (tptp.leaf_occ X109 X111) (tptp.leaf_occ X110 X111)) (= X109 X110))))) (let ((_let_9 (forall ((X102 $$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 ((_let_10 (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))))) (let ((_let_11 (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)))))) (let ((_let_12 (forall ((X76 $$unsorted) (X77 $$unsorted)) (=> (and (tptp.occurrence_of X77 X76) (not (tptp.atomic X76))) (exists ((X78 $$unsorted)) (and (tptp.root X78 X76) (tptp.subactivity_occurrence X78 X77))))))) (let ((_let_13 (forall ((X60 $$unsorted) (X61 $$unsorted) (X62 $$unsorted)) (= (tptp.next_subocc X60 X61 X62) (and (tptp.min_precedes X60 X61 X62) (not (exists ((X63 $$unsorted)) (and (tptp.min_precedes X60 X63 X62) (tptp.min_precedes X63 X61 X62))))))))) (let ((_let_14 (forall ((X41 $$unsorted) (X42 $$unsorted)) (=> (tptp.root X41 X42) (tptp.legal X41))))) (let ((_let_15 (forall ((X38 $$unsorted) (X39 $$unsorted) (X40 $$unsorted)) (=> (tptp.min_precedes X38 X39 X40) (tptp.precedes X38 X39))))) (let ((_let_16 (forall ((X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted)) (=> (tptp.min_precedes X35 X36 X37) (not (tptp.root X36 X37)))))) (let ((_let_17 (forall ((X21 $$unsorted) (X22 $$unsorted)) (= (tptp.precedes X21 X22) (and (tptp.earlier X21 X22) (tptp.legal X22)))))) (let ((_let_18 (forall ((X18 $$unsorted)) (=> (tptp.legal X18) (tptp.arboreal X18))))) (let ((_let_19 (forall ((X16 $$unsorted) (X17 $$unsorted)) (=> (tptp.occurrence_of X16 X17) (= (tptp.arboreal X16) (tptp.atomic X17)))))) (let ((_let_20 (forall ((X8 $$unsorted) (X9 $$unsorted)) (=> (tptp.earlier X8 X9) (not (tptp.earlier X9 X8)))))) (let ((_let_21 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp0))) (let ((_let_22 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp0))) (let ((_let_23 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69))) (let ((_let_24 (not _let_21))) (let ((_let_25 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_26 _let_24))) (let ((_let_30 (forall ((X113 $$unsorted) (X114 $$unsorted) (X115 $$unsorted) (BOUND_VARIABLE_1639 $$unsorted)) (or (not (tptp.occurrence_of X113 X115)) (not (tptp.leaf_occ X114 X113)) (not (tptp.min_precedes X114 BOUND_VARIABLE_1639 X115)))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_30))) (let ((_let_33 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 tptp.tptp0))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp0))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 tptp.tptp0))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 tptp.tptp3))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_38 (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp4)) _let_36 (and (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 tptp.tptp1)) (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 tptp.tptp2))) _let_34 _let_26))) (let ((_let_42 (forall ((X163 $$unsorted) (X164 $$unsorted) (X165 $$unsorted)) (or (not (tptp.occurrence_of X163 tptp.tptp3)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X163 tptp.tptp0)) (not (tptp.occurrence_of X164 tptp.tptp4)) (not (tptp.next_subocc X163 X164 tptp.tptp0)) (and (not (tptp.occurrence_of X165 tptp.tptp1)) (not (tptp.occurrence_of X165 tptp.tptp2))) (not (tptp.next_subocc X164 X165 tptp.tptp0)) (not (tptp.leaf_occ X165 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_43 (not _let_41))) (let ((_let_44 (not _let_42))) (let ((_let_45 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_46 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_28 _let_49 _let_47 _let_45 _let_44))) (let ((_let_51 (forall ((X161 $$unsorted) (X162 $$unsorted)) (or (not (tptp.occurrence_of X162 tptp.tptp0)) (not (tptp.subactivity_occurrence X161 X162)) (not (tptp.arboreal X161)) (tptp.leaf_occ X161 X162) (not (forall ((X163 $$unsorted) (X164 $$unsorted) (X165 $$unsorted)) (or (not (tptp.occurrence_of X163 tptp.tptp3)) (not (tptp.next_subocc X161 X163 tptp.tptp0)) (not (tptp.occurrence_of X164 tptp.tptp4)) (not (tptp.next_subocc X163 X164 tptp.tptp0)) (and (not (tptp.occurrence_of X165 tptp.tptp1)) (not (tptp.occurrence_of X165 tptp.tptp2))) (not (tptp.next_subocc X164 X165 tptp.tptp0)) (not (tptp.leaf_occ X165 X162))))))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (_let_51))) (let ((_let_54 (or _let_28 _let_49 _let_47 _let_45 (not (forall ((X168 $$unsorted) (X169 $$unsorted)) (let ((_let_1 (tptp.occurrence_of X169 tptp.tptp2))) (let ((_let_2 (tptp.occurrence_of X169 tptp.tptp1))) (or (not (tptp.occurrence_of X168 tptp.tptp3)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X168 tptp.tptp0)) (and (not _let_2) (not _let_1)) (not (tptp.min_precedes X168 X169 tptp.tptp0)) (not (tptp.leaf_occ X169 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (and _let_2 (not (forall ((X170 $$unsorted)) (or (not (tptp.occurrence_of X170 tptp.tptp2)) (not (tptp.min_precedes X168 X170 tptp.tptp0)))))) (and _let_1 (not (forall ((X171 $$unsorted)) (or (not (tptp.occurrence_of X171 tptp.tptp1)) (not (tptp.min_precedes X168 X171 tptp.tptp0)))))))))))))) (let ((_let_55 (not _let_45))) (let ((_let_56 (forall ((X166 $$unsorted) (X167 $$unsorted)) (or (not (tptp.occurrence_of X167 tptp.tptp0)) (not (tptp.subactivity_occurrence X166 X167)) (not (tptp.arboreal X166)) (tptp.leaf_occ X166 X167) (not (forall ((X168 $$unsorted) (X169 $$unsorted)) (let ((_let_1 (tptp.occurrence_of X169 tptp.tptp2))) (let ((_let_2 (tptp.occurrence_of X169 tptp.tptp1))) (or (not (tptp.occurrence_of X168 tptp.tptp3)) (not (tptp.next_subocc X166 X168 tptp.tptp0)) (and (not _let_2) (not _let_1)) (not (tptp.min_precedes X168 X169 tptp.tptp0)) (not (tptp.leaf_occ X169 X167)) (and _let_2 (not (forall ((X170 $$unsorted)) (or (not (tptp.occurrence_of X170 tptp.tptp2)) (not (tptp.min_precedes X168 X170 tptp.tptp0)))))) (and _let_1 (not (forall ((X171 $$unsorted)) (or (not (tptp.occurrence_of X171 tptp.tptp1)) (not (tptp.min_precedes X168 X171 tptp.tptp0))))))))))))))) (let ((_let_57 (not _let_54))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (or))) (let ((_let_60 (not _let_56))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_58) :args (_let_60))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_56))) (REFL :args (_let_57)) :args _let_59)) _let_58 :args (_let_57 true _let_56)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_54 3)) _let_61 :args (_let_55 true _let_54)))) (let ((_let_63 (REFL :args (_let_54)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_54 2)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_59)) :args ((or _let_46 _let_54))) _let_61 :args (_let_46 true _let_54)))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_54 1)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) :args _let_59)) :args ((or _let_48 _let_54))) _let_61 :args (_let_48 true _let_54)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_54 0)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_59)) :args ((or _let_27 _let_54))) _let_61 :args (_let_27 true _let_54)))) (let ((_let_67 (_let_44))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_67)) :args _let_67)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_42))) (REFL :args (_let_43)) :args _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_28 _let_49 _let_47 _let_45 _let_44 (not _let_50)))) _let_66 _let_65 _let_64 _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_53)) _let_52 :args (_let_50 false _let_51)) :args (_let_44 false _let_27 false _let_48 false _let_46 true _let_45 false _let_50)) :args (_let_43 true _let_42)))) (let ((_let_69 (REFL :args (_let_41)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 6)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_59)) :args ((or _let_25 _let_41))) _let_68 :args (_let_25 true _let_41)))) (let ((_let_71 (and _let_22 (forall ((X63 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 X63 tptp.tptp0)) (not (tptp.min_precedes X63 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp0))))))) (let ((_let_72 (= _let_35 _let_71))) (let ((_let_73 (forall ((X60 $$unsorted) (X61 $$unsorted) (X62 $$unsorted)) (= (tptp.next_subocc X60 X61 X62) (and (tptp.min_precedes X60 X61 X62) (forall ((X63 $$unsorted)) (or (not (tptp.min_precedes X60 X63 X62)) (not (tptp.min_precedes X63 X61 X62))))))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (_let_73))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 3)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_59)) :args ((or _let_35 _let_41))) _let_68 :args (_let_35 true _let_41)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 0)) :args ((or _let_22 (not _let_71)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_72)) :args ((or _let_36 _let_71 (not _let_72)))) _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp0 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_75)) _let_74 :args (_let_72 false _let_73)) :args (_let_71 false _let_35 false _let_72)) :args (_let_22 false _let_71)))) (let ((_let_78 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_28 _let_3 _let_79 _let_26 _let_23))) (let ((_let_81 (forall ((X109 $$unsorted) (X110 $$unsorted) (X111 $$unsorted) (X112 $$unsorted)) (or (not (tptp.occurrence_of X111 X112)) (tptp.atomic X112) (not (tptp.leaf_occ X109 X111)) (not (tptp.leaf_occ X110 X111)) (= X109 X110))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (_let_81))) (let ((_let_84 (forall ((X163 $$unsorted) (X164 $$unsorted) (X165 $$unsorted)) (or (not (tptp.occurrence_of X163 tptp.tptp3)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 X163 tptp.tptp0)) (not (tptp.occurrence_of X164 tptp.tptp4)) (not (tptp.next_subocc X163 X164 tptp.tptp0)) (and (not (tptp.occurrence_of X165 tptp.tptp1)) (not (tptp.occurrence_of X165 tptp.tptp2))) (not (tptp.next_subocc X164 X165 tptp.tptp0)) (not (tptp.leaf_occ X165 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_85 (not _let_84))) (let ((_let_86 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67))) (let ((_let_87 (not _let_86))) (let ((_let_88 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_28 _let_89 _let_87 _let_78 _let_85))) (let ((_let_91 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_207 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_92 (not _let_91))) (let ((_let_93 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_206 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_207 tptp.tptp0))) (let ((_let_94 (not _let_93))) (let ((_let_95 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_205 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_206 tptp.tptp0))) (let ((_let_96 (not _let_95))) (let ((_let_97 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_205 tptp.tptp0))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_205 tptp.tptp3)) _let_98 (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_206 tptp.tptp4)) _let_96 (and (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_207 tptp.tptp1)) (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_207 tptp.tptp2))) _let_94 _let_92))) (let ((_let_100 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_207))) (let ((_let_101 (or _let_28 _let_3 _let_26 _let_92 _let_100))) (let ((_let_102 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110))) (let ((_let_103 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_207 tptp.tptp0))) (let ((_let_104 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_206))) (let ((_let_105 (not _let_103))) (let ((_let_106 (or _let_94 _let_105 _let_104))) (let ((_let_107 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109))) (let ((_let_108 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_206 tptp.tptp0))) (let ((_let_109 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_205))) (let ((_let_110 (not _let_108))) (let ((_let_111 (or _let_96 _let_110 _let_109))) (let ((_let_112 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 tptp.tptp0))) (let ((_let_113 (REFL :args (_let_99)))) (let ((_let_114 (ASSUME :args (_let_4)))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 5)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_59)) :args ((or _let_33 _let_41))) _let_68 :args (_let_33 true _let_41)))) (let ((_let_116 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_117 (not _let_116))) (let ((_let_118 (or _let_28 _let_3 _let_26 _let_117 _let_102))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0 QUANTIFIERS_INST_CBQI_PROP)) :args _let_83)) _let_82 :args (_let_118 false _let_81)))) (let ((_let_120 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 tptp.tptp0))) (let ((_let_121 (not _let_120))) (let ((_let_122 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_108 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 tptp.tptp0))) (let ((_let_123 (not _let_122))) (let ((_let_124 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_108 tptp.tptp0))) (let ((_let_125 (not _let_124))) (let ((_let_126 (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_108 tptp.tptp3)) _let_125 (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 tptp.tptp4)) _let_123 (and (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 tptp.tptp1)) (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 tptp.tptp2))) _let_121 _let_117))) (let ((_let_127 (forall ((X163 $$unsorted) (X164 $$unsorted) (X165 $$unsorted)) (or (not (tptp.occurrence_of X163 tptp.tptp3)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 X163 tptp.tptp0)) (not (tptp.occurrence_of X164 tptp.tptp4)) (not (tptp.next_subocc X163 X164 tptp.tptp0)) (and (not (tptp.occurrence_of X165 tptp.tptp1)) (not (tptp.occurrence_of X165 tptp.tptp2))) (not (tptp.next_subocc X164 X165 tptp.tptp0)) (not (tptp.leaf_occ X165 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_128 (not _let_126))) (let ((_let_129 (not _let_127))) (let ((_let_130 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_131 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66))) (let ((_let_132 (not _let_131))) (let ((_let_133 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_134 (not _let_133))) (let ((_let_135 (or _let_28 _let_134 _let_132 _let_130 _let_129))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_53)) _let_52 :args (_let_135 false _let_51)))) (let ((_let_137 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66))) (let ((_let_138 (not _let_130))) (let ((_let_139 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0))) (let ((_let_140 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 tptp.tptp0))) (let ((_let_141 (or _let_28 _let_47 _let_132 _let_49 _let_134 _let_140 _let_139 _let_137))) (let ((_let_142 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 tptp.tptp0))) (let ((_let_143 (not _let_142))) (let ((_let_144 (or _let_38 _let_143 _let_137))) (let ((_let_145 (not _let_139))) (let ((_let_146 (or _let_28 _let_138 _let_145))) (let ((_let_147 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 tptp.tptp0))) (let ((_let_148 (not _let_147))) (let ((_let_149 (or _let_121 _let_148 _let_107))) (let ((_let_150 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 tptp.tptp0))) (let ((_let_151 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_108))) (let ((_let_152 (not _let_150))) (let ((_let_153 (or _let_123 _let_152 _let_151))) (let ((_let_154 (tptp.root SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 tptp.tptp0))) (let ((_let_155 (not _let_154))) (let ((_let_156 (or _let_155 _let_134))) (let ((_let_157 (forall ((X78 $$unsorted)) (or (not (tptp.root X78 tptp.tptp0)) (not (tptp.subactivity_occurrence X78 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_158 (not _let_156))) (let ((_let_159 (not _let_157))) (let ((_let_160 (or _let_28 _let_3 _let_159))) (let ((_let_161 (forall ((X76 $$unsorted) (X77 $$unsorted)) (or (not (tptp.occurrence_of X77 X76)) (tptp.atomic X76) (not (forall ((X78 $$unsorted)) (or (not (tptp.root X78 X76)) (not (tptp.subactivity_occurrence X78 X77))))))))) (let ((_let_162 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_163 (_let_159))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_163)) :args _let_163)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_159) _let_157))) (REFL :args (_let_158)) :args _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_160)) :args ((or _let_3 _let_28 _let_159 (not _let_160)))) _let_114 _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args (_let_161))) _let_162 :args (_let_160 false _let_161)) :args (_let_159 true _let_3 false _let_27 false _let_160)) :args (_let_158 true _let_157)))) (let ((_let_165 (REFL :args (_let_156)))) (let ((_let_166 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_156 1)) (CONG _let_165 (MACRO_SR_PRED_INTRO :args ((= (not _let_134) _let_133))) :args _let_59)) :args ((or _let_133 _let_156))) _let_164 :args (_let_133 true _let_156)))) (let ((_let_167 (forall ((X79 $$unsorted) (X80 $$unsorted) (X81 $$unsorted) (X82 $$unsorted)) (or (not (tptp.occurrence_of X80 X79)) (not (tptp.arboreal X81)) (not (tptp.arboreal X82)) (not (tptp.subactivity_occurrence X81 X80)) (not (tptp.subactivity_occurrence X82 X80)) (tptp.min_precedes X81 X82 X79) (tptp.min_precedes X82 X81 X79) (= X81 X82))))) (let ((_let_168 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_169 (not _let_140))) (let ((_let_170 (or _let_169 _let_155))) (let ((_let_171 (forall ((X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted)) (or (not (tptp.min_precedes X35 X36 X37)) (not (tptp.root X36 X37)))))) (let ((_let_172 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_173 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_156 0)) (CONG _let_165 (MACRO_SR_PRED_INTRO :args ((= (not _let_155) _let_154))) :args _let_59)) :args ((or _let_154 _let_156))) _let_164 :args (_let_154 true _let_156)))) (let ((_let_174 (tptp.legal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66))) (let ((_let_175 (not _let_174))) (let ((_let_176 (or _let_175 _let_131))) (let ((_let_177 (forall ((X18 $$unsorted)) (or (not (tptp.legal X18)) (tptp.arboreal X18))))) (let ((_let_178 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_179 (or _let_155 _let_174))) (let ((_let_180 (forall ((X41 $$unsorted) (X42 $$unsorted)) (or (not (tptp.root X41 X42)) (tptp.legal X41))))) (let ((_let_181 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_182 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_176)) :args ((or _let_175 _let_131 (not _let_176)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_179)) :args ((or _let_155 _let_174 (not _let_179)))) _let_173 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 tptp.tptp0 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_180))) _let_181 :args (_let_179 false _let_180)) :args (_let_174 false _let_154 false _let_179)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_178 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 QUANTIFIERS_INST_ENUM)) :args (_let_177))) _let_178 :args (_let_176 false _let_177)) :args (_let_131 false _let_174 false _let_176)))) (let ((_let_183 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 1)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_59)) :args ((or _let_37 _let_41))) _let_68 :args (_let_37 true _let_41)))) (let ((_let_184 (forall ((X126 $$unsorted) (X127 $$unsorted) (X128 $$unsorted) (X129 $$unsorted)) (or (not (tptp.next_subocc X127 X126 X129)) (not (tptp.next_subocc X128 X126 X129)) (= X127 X128))))) (let ((_let_185 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_186 (_let_184))) (let ((_let_187 (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_28 _let_134 _let_132 _let_130 _let_129 (not _let_135)))))) (let ((_let_188 (_let_129))) (let ((_let_189 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_188)) :args _let_188)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_129) _let_127))) (REFL :args (_let_128)) :args _let_59)))) (let ((_let_190 (REFL :args (_let_126)))) (let ((_let_191 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_126 5)) (CONG _let_190 (MACRO_SR_PRED_INTRO :args ((= (not _let_121) _let_120))) :args _let_59)) :args ((or _let_120 _let_126))))) (let ((_let_192 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_126 6)) (CONG _let_190 (MACRO_SR_PRED_INTRO :args ((= (not _let_117) _let_116))) :args _let_59)) :args ((or _let_116 _let_126))))) (let ((_let_193 (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_3 _let_28 _let_26 _let_117 _let_102 (not _let_118)))))) (let ((_let_194 (and _let_33 _let_102))) (let ((_let_195 (_let_33 _let_102))) (let ((_let_196 (ASSUME :args (_let_33)))) (let ((_let_197 (TRUE_INTRO _let_196))) (let ((_let_198 (APPLY_UF tptp.next_subocc))) (let ((_let_199 (REFL :args (tptp.tptp0)))) (let ((_let_200 (ASSUME :args (_let_102)))) (let ((_let_201 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68)))) (let ((_let_202 (CONG _let_201 (SYMM _let_200) _let_199 :args _let_198))) (let ((_let_203 (RESOLUTION (CNF_AND_NEG :args (_let_194)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_196 _let_200) (SCOPE (TRUE_ELIM (TRANS _let_202 _let_197)) :args _let_195)) :args _let_195)) :args (true _let_194)))) (let ((_let_204 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_185 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_109 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp0 QUANTIFIERS_INST_CBQI_PROP)) :args _let_186))) _let_185 :args (_let_149 false _let_184)))) (let ((_let_205 (REORDERING (CNF_OR_POS :args (_let_149)) :args ((or _let_121 _let_107 _let_148 (not _let_149)))))) (let ((_let_206 (and _let_35 _let_107))) (let ((_let_207 (_let_35 _let_107))) (let ((_let_208 (ASSUME :args (_let_35)))) (let ((_let_209 (TRUE_INTRO _let_208))) (let ((_let_210 (ASSUME :args (_let_107)))) (let ((_let_211 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67)))) (let ((_let_212 (CONG _let_211 (SYMM _let_210) _let_199 :args _let_198))) (let ((_let_213 (and _let_55 _let_137))) (let ((_let_214 (_let_55 _let_137))) (let ((_let_215 (ASSUME :args (_let_55)))) (let ((_let_216 (ASSUME :args (_let_137)))) (let ((_let_217 (MACRO_RESOLUTION_TRUST _let_189 (MACRO_RESOLUTION_TRUST _let_187 _let_66 _let_166 _let_182 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_213)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_215 _let_216) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_216) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) :args (APPLY_UF tptp.leaf_occ)) (FALSE_INTRO _let_215))) :args _let_214)) :args _let_214)) :args 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_let_229 (not _let_235)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_236)) :args ((or _let_38 _let_235 (not _let_236)))) _let_183 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args _let_234) :args _let_75)) _let_74 :args (_let_236 false _let_73)) :args (_let_235 false _let_37 false _let_236)) :args (_let_229 false _let_235)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_233 :args _let_234) :args (_let_232))) _let_233 :args (_let_231 false _let_232)) :args (_let_226 false _let_229 false _let_231)) :args (_let_228 true _let_227 false _let_226)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 tptp.tptp0 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_186)) _let_185 :args (_let_225 false _let_184)) :args (_let_224 false _let_37 true _let_223 false _let_225)) (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_96 _let_109 _let_110 (not _let_111)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_185 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_206 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_205 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 tptp.tptp0 QUANTIFIERS_INST_CBQI_PROP)) :args _let_186))) _let_185 :args (_let_111 false _let_184)) (RESOLUTION (CNF_AND_NEG :args (_let_221)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_222 _let_210 _let_208) (SCOPE (TRUE_ELIM (TRANS (CONG _let_211 (TRANS (SYMM _let_222) _let_210) _let_199 :args _let_198) _let_212 _let_209)) :args (_let_104 _let_107 _let_35))) :args (_let_35 _let_107 _let_104))) :args (true _let_221)) (MACRO_RESOLUTION_TRUST _let_205 (MACRO_RESOLUTION_TRUST _let_191 _let_217 :args (_let_120 true _let_126)) (MACRO_RESOLUTION_TRUST _let_203 _let_218 _let_115 :args (_let_147 false _let_102 false _let_33)) _let_204 :args (_let_107 false _let_120 false _let_147 false _let_149)) _let_76 (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_94 _let_104 _let_105 (not _let_106)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_185 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_207 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_206 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 tptp.tptp0 QUANTIFIERS_INST_CBQI_PROP)) :args _let_186))) _let_185 :args (_let_106 false _let_184)) (RESOLUTION (CNF_AND_NEG :args (_let_219)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_220 _let_200 _let_196) (SCOPE (TRUE_ELIM (TRANS (CONG _let_201 (TRANS (SYMM _let_220) _let_200) _let_199 :args _let_198) _let_202 _let_197)) :args (_let_100 _let_102 _let_33))) :args (_let_33 _let_102 _let_100))) :args (true _let_219)) _let_218 _let_115 (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_3 _let_28 _let_26 _let_92 _let_100 (not _let_101)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_207 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0 QUANTIFIERS_INST_CBQI_PROP)) :args _let_83)) _let_82 :args (_let_101 false _let_81)) _let_70 _let_66 _let_114 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_99 6)) (CONG _let_113 (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_91))) :args _let_59)) :args ((or _let_91 _let_99))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_99 5)) (CONG _let_113 (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_93))) :args _let_59)) :args ((or _let_93 _let_99))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_99 3)) (CONG _let_113 (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_95))) :args _let_59)) :args ((or _let_95 _let_99))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_99 1)) (CONG _let_113 (MACRO_SR_PRED_INTRO :args ((= (not _let_98) _let_97))) :args _let_59)) :args ((or _let_97 _let_99))) :args (_let_99 true _let_112 false _let_109 false _let_111 false _let_108 false _let_107 false _let_35 false _let_104 false _let_106 false _let_103 false _let_102 false _let_33 false _let_100 false _let_101 false _let_25 false _let_27 true _let_3 false _let_91 false _let_93 false _let_95 false _let_97)) :args (_let_84 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_53)) _let_52 :args (_let_90 false _let_51)) :args (_let_78 false _let_27 false _let_86 false _let_88 false _let_84 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0 QUANTIFIERS_INST_ENUM)) :args _let_83)) _let_82 :args (_let_80 false _let_81)) :args (_let_23 true _let_3 false _let_27 false _let_25 false _let_78 false _let_80)) _let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_26 _let_24 (not _let_29)))) _let_66 _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 QUANTIFIERS_INST_ENUM)) :args _let_32)) _let_31 :args (_let_29 false _let_30)) :args (_let_24 false _let_27 false _let_25 false _let_29)) :args (false false _let_23 false _let_22 true _let_21)) :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 $$unsorted)) (and (tptp.activity X3) (tptp.occurrence_of X2 X3))))) (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (=> (and (tptp.occurrence_of X4 X5) (tptp.occurrence_of X4 X6)) (= X5 X6))) (forall ((X7 $$unsorted)) (=> (tptp.activity X7) (tptp.subactivity X7 X7))) _let_20 (forall ((X10 $$unsorted) (X11 $$unsorted) (X12 $$unsorted)) (=> (and (tptp.earlier X10 X11) (tptp.earlier X11 X12)) (tptp.earlier X10 X12))) (forall ((X13 $$unsorted) (X14 $$unsorted) (X15 $$unsorted)) (=> (and (tptp.earlier X13 X14) (tptp.earlier X15 X14)) (or (tptp.earlier X15 X13) (tptp.earlier X13 X15) (= X13 X15)))) _let_19 _let_18 (forall ((X19 $$unsorted) (X20 $$unsorted)) (=> (and (tptp.legal X19) (tptp.earlier X20 X19)) (tptp.legal X20))) _let_17 (forall ((X23 $$unsorted) (X24 $$unsorted) (X25 $$unsorted)) (=> (tptp.min_precedes X24 X25 X23) (exists ((X26 $$unsorted) (X27 $$unsorted)) (and (tptp.subactivity X26 X23) (tptp.subactivity X27 X23) (tptp.atocc X24 X26) (tptp.atocc X25 X27))))) (forall ((X28 $$unsorted) (X29 $$unsorted)) (=> (tptp.root X29 X28) (exists ((X30 $$unsorted)) (and (tptp.subactivity X30 X28) (tptp.atocc X29 X30))))) (forall ((X31 $$unsorted) (X32 $$unsorted) (X33 $$unsorted)) (=> (tptp.min_precedes X31 X32 X33) (exists ((X34 $$unsorted)) (and (tptp.root X34 X33) (tptp.min_precedes X34 X32 X33))))) _let_16 _let_15 _let_14 (forall ((X43 $$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 $$unsorted)) (=> (tptp.subactivity_occurrence X67 X68) (and (tptp.activity_occurrence X67) (tptp.activity_occurrence X68)))) (forall ((X69 $$unsorted) (X70 $$unsorted) (X71 $$unsorted)) (=> (tptp.min_precedes X70 X71 X69) (exists ((X72 $$unsorted)) (and (tptp.occurrence_of X72 X69) (tptp.subactivity_occurrence X70 X72) (tptp.subactivity_occurrence X71 X72))))) (forall ((X73 $$unsorted) (X74 $$unsorted)) (=> (and (tptp.root X74 X73) (not (tptp.atomic X73))) (exists ((X75 $$unsorted)) (and (tptp.occurrence_of X75 X73) (tptp.subactivity_occurrence X74 X75))))) _let_12 _let_11 _let_10 (forall ((X87 $$unsorted) (X88 $$unsorted) (X89 $$unsorted) (X90 $$unsorted)) (=> (and (tptp.occurrence_of X89 X87) (tptp.occurrence_of X90 X88) (not (tptp.atomic X87)) (tptp.subactivity_occurrence X89 X90)) (tptp.subactivity X87 X88))) (forall ((X91 $$unsorted) (X92 $$unsorted) (X93 $$unsorted)) (=> (and (tptp.subactivity_occurrence X91 X92) (tptp.subactivity_occurrence X92 X93)) (tptp.subactivity_occurrence X91 X93))) (forall ((X94 $$unsorted) (X95 $$unsorted) (X96 $$unsorted) (X97 $$unsorted)) (=> (and (tptp.occurrence_of X96 X94) (tptp.occurrence_of X97 X95) (tptp.subactivity X94 X95) (not (tptp.subactivity_occurrence X96 X97))) (exists ((X98 $$unsorted)) (and (tptp.subactivity_occurrence X98 X97) (not (tptp.subactivity_occurrence X98 X96)))))) (forall ((X99 $$unsorted) (X100 $$unsorted)) (= (tptp.root_occ X99 X100) (exists ((X101 $$unsorted)) (and (tptp.occurrence_of X100 X101) (tptp.subactivity_occurrence X99 X100) (tptp.root X99 X101))))) _let_9 (forall ((X105 $$unsorted) (X106 $$unsorted) (X107 $$unsorted) (X108 $$unsorted)) (=> (and (tptp.occurrence_of X107 X108) (tptp.root_occ X105 X107) (tptp.root_occ X106 X107)) (= X105 X106))) _let_8 _let_7 (forall ((X117 $$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))) _let_6 (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))) (forall ((X138 $$unsorted) (X139 $$unsorted) (X140 $$unsorted) (X141 $$unsorted)) (=> (and (tptp.occurrence_of X139 X138) (tptp.subactivity_occurrence X140 X139) (tptp.leaf_occ X141 X139) (tptp.arboreal X140) (not (tptp.min_precedes X140 X141 X138))) (= X141 X140))) (forall ((X142 $$unsorted) (X143 $$unsorted) (X144 $$unsorted)) (=> (tptp.next_subocc X142 X143 X144) (and (tptp.arboreal X142) (tptp.arboreal X143)))) (forall ((X145 $$unsorted) (X146 $$unsorted)) (=> (and (tptp.leaf X145 X146) (not (tptp.atomic X146))) (exists ((X147 $$unsorted)) (and (tptp.occurrence_of X147 X146) (tptp.leaf_occ X145 X147))))) (forall ((X148 $$unsorted) (X149 $$unsorted) (X150 $$unsorted)) (=> (tptp.min_precedes X148 X149 X150) (tptp.arboreal X148))) (forall ((X151 $$unsorted) (X152 $$unsorted) (X153 $$unsorted) (X154 $$unsorted) (X155 $$unsorted)) (=> (and (tptp.occurrence_of X152 X151) (tptp.root_occ X154 X152) (tptp.leaf_occ X155 X152) (tptp.subactivity_occurrence X153 X152) (tptp.min_precedes X153 X155 X151) (not (= X153 X154))) (tptp.min_precedes X154 X153 X151))) (forall ((X156 $$unsorted) (X157 $$unsorted) (X158 $$unsorted) (X159 $$unsorted) (X160 $$unsorted)) (=> (and (tptp.occurrence_of X157 X156) (tptp.root_occ X159 X157) (tptp.leaf_occ X160 X157) (tptp.subactivity_occurrence X158 X157) (tptp.min_precedes X159 X158 X156) (not (= X158 X160))) (tptp.min_precedes X158 X160 X156))) _let_5 (tptp.activity tptp.tptp0) _let_4 (tptp.atomic tptp.tptp4) (tptp.atomic tptp.tptp1) (tptp.atomic tptp.tptp2) _let_2 (not (= tptp.tptp4 tptp.tptp3)) (not (= tptp.tptp4 tptp.tptp1)) (not (= tptp.tptp4 tptp.tptp2)) (not (= tptp.tptp3 tptp.tptp1)) (not (= tptp.tptp3 tptp.tptp2)) (not (= tptp.tptp1 tptp.tptp2)) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 12.54/12.76 )
% 12.54/12.76 % SZS output end Proof for PRO016+3
% 12.54/12.76 % cvc5---1.0.5 exiting
% 12.54/12.76 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------