%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PRO017+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n010.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 13:06:28 EDT 2023

% Result   : Theorem 26.76s 26.95s
% Output   : Proof 26.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : PRO017+4 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n010.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Mon Aug 28 19:15:34 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.23/0.52  %----Proving TF0_NAR, FOF, or CNF
% 26.76/26.95  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.RKYXGQbiYG/cvc5---1.0.5_23204.p...
% 26.76/26.95  ------- get file name : TPTP file name is PRO017+4
% 26.76/26.95  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23204.smt2...
% 26.76/26.95  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 26.76/26.95  --- Run --no-e-matching --full-saturate-quant at 5...
% 26.76/26.95  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 26.76/26.95  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.76/26.95  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.76/26.95  % SZS status Theorem for PRO017+4
% 26.76/26.95  % SZS output start Proof for PRO017+4
% 26.76/26.95  (
% 26.76/26.95  (let ((_let_1 (not (forall ((X107 $$unsorted) (X108 $$unsorted)) (=> (and (tptp.occurrence_of X108 tptp.tptp0) (tptp.subactivity_occurrence X107 X108) (tptp.arboreal X107) (not (tptp.leaf_occ X107 X108))) (exists ((X109 $$unsorted) (X110 $$unsorted)) (and (tptp.occurrence_of X109 tptp.tptp3) (tptp.next_subocc X107 X109 tptp.tptp0) (or (tptp.occurrence_of X110 tptp.tptp2) (tptp.occurrence_of X110 tptp.tptp1)) (tptp.min_precedes X109 X110 tptp.tptp0) (tptp.leaf X110 tptp.tptp0)))))))) (let ((_let_2 (= tptp.tptp3 tptp.tptp1))) (let ((_let_3 (not _let_2))) (let ((_let_4 (= tptp.tptp3 tptp.tptp2))) (let ((_let_5 (not _let_4))) (let ((_let_6 (not (= tptp.tptp4 tptp.tptp3)))) (let ((_let_7 (tptp.atomic tptp.tptp3))) (let ((_let_8 (forall ((X101 $$unsorted) (X102 $$unsorted)) (=> (and (tptp.occurrence_of X102 tptp.tptp0) (tptp.subactivity_occurrence X101 X102) (tptp.arboreal X101) (not (tptp.leaf_occ X101 X102))) (exists ((X103 $$unsorted) (X104 $$unsorted) (X105 $$unsorted)) (and (tptp.occurrence_of X103 tptp.tptp3) (tptp.next_subocc X101 X103 tptp.tptp0) (tptp.occurrence_of X104 tptp.tptp4) (tptp.min_precedes X103 X104 tptp.tptp0) (or (tptp.occurrence_of X105 tptp.tptp2) (tptp.occurrence_of X105 tptp.tptp1)) (tptp.min_precedes X104 X105 tptp.tptp0) (forall ((X106 $$unsorted)) (=> (tptp.min_precedes X103 X106 tptp.tptp0) (or (= X106 X104) (= X106 X105)))))))))) (let ((_let_9 (forall ((X78 $$unsorted) (X79 $$unsorted) (X80 $$unsorted)) (= (tptp.next_subocc X78 X79 X80) (and (tptp.min_precedes X78 X79 X80) (not (exists ((X81 $$unsorted)) (and (tptp.min_precedes X78 X81 X80) (tptp.min_precedes X81 X79 X80))))))))) (let ((_let_10 (forall ((X51 $$unsorted) (X52 $$unsorted)) (=> (tptp.occurrence_of X51 X52) (= (tptp.arboreal X51) (tptp.atomic X52)))))) (let ((_let_11 (forall ((X31 $$unsorted) (X32 $$unsorted) (X33 $$unsorted)) (=> (and (tptp.occurrence_of X31 X33) (tptp.leaf_occ X32 X31)) (not (exists ((X34 $$unsorted)) (tptp.min_precedes X32 X34 X33))))))) (let ((_let_12 (forall ((X28 $$unsorted) (X29 $$unsorted) (X30 $$unsorted)) (=> (and (tptp.occurrence_of X28 X29) (tptp.occurrence_of X28 X30)) (= X29 X30))))) (let ((_let_13 (forall ((X21 $$unsorted) (X22 $$unsorted) (X23 $$unsorted)) (=> (tptp.min_precedes X22 X23 X21) (exists ((X24 $$unsorted)) (and (tptp.occurrence_of X24 X21) (tptp.subactivity_occurrence X22 X24) (tptp.subactivity_occurrence X23 X24))))))) (let ((_let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60))) (let ((_let_15 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp1))) (let ((_let_16 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 tptp.tptp1))) (let ((_let_17 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60))) (let ((_let_18 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 tptp.tptp0))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_17 _let_14))) (let ((_let_21 (forall ((X106 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X106 tptp.tptp0)) (= X106 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) (= X106 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))))) (let ((_let_22 (not _let_21))) (let ((_let_23 (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0)))) (let ((_let_24 (not _let_15))) (let ((_let_25 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp2))) (let ((_let_26 (not _let_25))) (let ((_let_27 (and _let_26 _let_24))) (let ((_let_28 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp4))) (let ((_let_31 (not _let_30))) (let ((_let_32 (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0)))) (let ((_let_33 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp3))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32 _let_31 _let_29 _let_27 _let_23 _let_22))) (let ((_let_36 (forall ((X103 $$unsorted) (X104 $$unsorted) (X105 $$unsorted)) (or (not (tptp.occurrence_of X103 tptp.tptp3)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X103 tptp.tptp0)) (not (tptp.occurrence_of X104 tptp.tptp4)) (not (tptp.min_precedes X103 X104 tptp.tptp0)) (and (not (tptp.occurrence_of X105 tptp.tptp2)) (not (tptp.occurrence_of X105 tptp.tptp1))) (not (tptp.min_precedes X104 X105 tptp.tptp0)) (not (forall ((X106 $$unsorted)) (or (not (tptp.min_precedes X103 X106 tptp.tptp0)) (= X104 X106) (= X105 X106)))))))) (let ((_let_37 (not _let_35))) (let ((_let_38 (not _let_36))) (let ((_let_39 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_40 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_43 _let_41 _let_39 _let_38))) (let ((_let_47 (forall ((X101 $$unsorted) (X102 $$unsorted)) (or (not (tptp.occurrence_of X102 tptp.tptp0)) (not (tptp.subactivity_occurrence X101 X102)) (not (tptp.arboreal X101)) (tptp.leaf_occ X101 X102) (not (forall ((X103 $$unsorted) (X104 $$unsorted) (X105 $$unsorted)) (or (not (tptp.occurrence_of X103 tptp.tptp3)) (not (tptp.next_subocc X101 X103 tptp.tptp0)) (not (tptp.occurrence_of X104 tptp.tptp4)) (not (tptp.min_precedes X103 X104 tptp.tptp0)) (and (not (tptp.occurrence_of X105 tptp.tptp2)) (not (tptp.occurrence_of X105 tptp.tptp1))) (not (tptp.min_precedes X104 X105 tptp.tptp0)) (not (forall ((X106 $$unsorted)) (or (not (tptp.min_precedes X103 X106 tptp.tptp0)) (= X104 X106) (= X105 X106))))))))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (_let_47))) (let ((_let_50 ((not (= (tptp.subactivity_occurrence X101 X102) false))))) (let ((_let_51 (or _let_45 _let_43 _let_41 _let_39 (not (forall ((X109 $$unsorted) (X110 $$unsorted)) (or (not (tptp.occurrence_of X109 tptp.tptp3)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X109 tptp.tptp0)) (and (not (tptp.occurrence_of X110 tptp.tptp2)) (not (tptp.occurrence_of X110 tptp.tptp1))) (not (tptp.min_precedes X109 X110 tptp.tptp0)) (not (tptp.leaf X110 tptp.tptp0)))))))) (let ((_let_52 (forall ((X107 $$unsorted) (X108 $$unsorted)) (or (not (tptp.occurrence_of X108 tptp.tptp0)) (not (tptp.subactivity_occurrence X107 X108)) (not (tptp.arboreal X107)) (tptp.leaf_occ X107 X108) (not (forall ((X109 $$unsorted) (X110 $$unsorted)) (or (not (tptp.occurrence_of X109 tptp.tptp3)) (not (tptp.next_subocc X107 X109 tptp.tptp0)) (and (not (tptp.occurrence_of X110 tptp.tptp2)) (not (tptp.occurrence_of X110 tptp.tptp1))) (not (tptp.min_precedes X109 X110 tptp.tptp0)) (not (tptp.leaf X110 tptp.tptp0))))))))) (let ((_let_53 (not _let_51))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (or))) (let ((_let_56 (not _let_52))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_54) :args (_let_56))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_52))) (REFL :args (_let_53)) :args _let_55)) _let_54 :args (_let_53 true _let_52)))) (let ((_let_58 (REFL :args (_let_51)))) (let ((_let_59 (_let_38))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_59)) :args _let_59) (REWRITE :args ((=> _let_38 (not (or _let_34 _let_32 _let_31 _let_29 _let_27 _let_23 (not (forall ((X106 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X106 tptp.tptp0)) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 X106) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X106))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_36))) (REFL :args (_let_37)) :args _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_45 _let_43 _let_41 _let_39 _let_38 (not _let_46)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 0)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_55)) :args ((or _let_44 _let_51))) _let_57 :args (_let_44 true _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 1)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_55)) :args ((or _let_42 _let_51))) _let_57 :args (_let_42 true _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_51 2)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_55)) :args ((or _let_40 _let_51))) _let_57 :args (_let_40 true _let_51)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_51 3)) _let_57 :args ((not _let_39) true _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_49)) _let_48 :args (_let_46 false _let_47)) :args (_let_38 false _let_44 false _let_42 false _let_40 true _let_39 false _let_46)) :args (_let_37 true _let_36)))) (let ((_let_61 (REFL :args (_let_35)))) (let ((_let_62 (_let_21))) (let ((_let_63 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 tptp.tptp3))) (let ((_let_64 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp3))) (let ((_let_65 (not _let_17))) (let ((_let_66 (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 tptp.tptp0)))) (let ((_let_67 (and (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 tptp.tptp2)) (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 tptp.tptp1))))) (let ((_let_68 (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 tptp.tptp0)))) (let ((_let_69 (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 tptp.tptp4)))) (let ((_let_70 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 tptp.tptp0))) (let ((_let_71 (not _let_70))) (let ((_let_72 (not _let_63))) (let ((_let_73 (or _let_72 _let_71 _let_69 _let_68 _let_67 _let_66 (not (forall ((X106 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 X106 tptp.tptp0)) (= X106 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61) (= X106 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62))))))) (let ((_let_74 (forall ((X103 $$unsorted) (X104 $$unsorted) (X105 $$unsorted)) (or (not (tptp.occurrence_of X103 tptp.tptp3)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X103 tptp.tptp0)) (not (tptp.occurrence_of X104 tptp.tptp4)) (not (tptp.min_precedes X103 X104 tptp.tptp0)) (and (not (tptp.occurrence_of X105 tptp.tptp2)) (not (tptp.occurrence_of X105 tptp.tptp1))) (not (tptp.min_precedes X104 X105 tptp.tptp0)) (not (forall ((X106 $$unsorted)) (or (not (tptp.min_precedes X103 X106 tptp.tptp0)) (= X104 X106) (= X105 X106)))))))) (let ((_let_75 (not _let_73))) (let ((_let_76 (not _let_74))) (let ((_let_77 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_78 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_79 (not _let_78))) (let ((_let_80 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 tptp.tptp0))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_83 _let_81 _let_79 _let_77 _let_76))) (let ((_let_85 (not _let_77))) (let ((_let_86 (or _let_83 _let_85 _let_29))) (let ((_let_87 (forall ((X31 $$unsorted) (X32 $$unsorted) (X33 $$unsorted) (BOUND_VARIABLE_1174 $$unsorted)) (or (not (tptp.occurrence_of X31 X33)) (not (tptp.leaf_occ X32 X31)) (not (tptp.min_precedes X32 BOUND_VARIABLE_1174 X33)))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (or _let_83 _let_81 (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))))) (let ((_let_90 (forall ((X24 $$unsorted)) (or (not (tptp.occurrence_of X24 tptp.tptp0)) (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X24)) (not (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 X24)))))) (let ((_let_91 (not _let_89))) (let ((_let_92 (not _let_90))) (let ((_let_93 (or _let_29 _let_92))) (let ((_let_94 (forall ((X21 $$unsorted) (X22 $$unsorted) (X23 $$unsorted)) (or (not (tptp.min_precedes X22 X23 X21)) (not (forall ((X24 $$unsorted)) (or (not (tptp.occurrence_of X24 X21)) (not (tptp.subactivity_occurrence X22 X24)) (not (tptp.subactivity_occurrence X23 X24))))))))) (let ((_let_95 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 3)) (CONG _let_61 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_55)) :args ((or _let_28 _let_35))) _let_60 :args (_let_28 true _let_35)))) (let ((_let_97 (_let_92))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_97)) :args _let_97)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_90))) (REFL :args (_let_91)) :args _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_29 _let_92 (not _let_93)))) _let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.min_precedes X22 X23 X21) false))))) :args (_let_94))) _let_95 :args (_let_93 false _let_94)) :args (_let_92 false _let_28 false _let_93)) :args (_let_91 true _let_90)))) (let ((_let_99 (REFL :args (_let_89)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_89 0)) (CONG _let_99 (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_82))) :args _let_55)) :args ((or _let_82 _let_89))) _let_98 :args (_let_82 true _let_89)))) (let ((_let_101 (= _let_7 _let_78))) (let ((_let_102 (or _let_34 _let_101))) (let ((_let_103 (forall ((X51 $$unsorted) (X52 $$unsorted)) (or (not (tptp.occurrence_of X51 X52)) (= (tptp.arboreal X51) (tptp.atomic X52)))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (_let_76))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_105)) :args _let_105) (REWRITE :args ((=> _let_76 (not (or _let_72 _let_71 _let_69 _let_68 _let_67 _let_66 (not (forall ((X106 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 X106 tptp.tptp0)) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 X106) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_62 X106))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_74))) (REFL :args (_let_75)) :args _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_79 _let_83 _let_81 _let_77 _let_76 (not _let_84)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_101)) :args ((or (not _let_7) _let_78 (not _let_101)))) (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_34 _let_101 (not _let_102)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 0)) (CONG _let_61 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_55)) :args ((or _let_33 _let_35))) _let_60 :args (_let_33 true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_104 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.occurrence_of X51 X52) false))))) :args (_let_103)))) _let_104 :args (_let_102 false _let_103)) :args (_let_101 false _let_33 false _let_102)) :args (_let_78 false _let_7 false _let_101)) _let_100 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_89 1)) (CONG _let_99 (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_80))) :args _let_55)) :args ((or _let_80 _let_89))) _let_98 :args (_let_80 true _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_29 _let_83 _let_85 (not _let_86)))) _let_96 _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_87))) _let_88 :args (_let_86 false _let_87)) :args (_let_85 false _let_28 false _let_82 false _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_49)) _let_48 :args (_let_84 false _let_47)) :args (_let_76 false _let_78 false _let_82 false _let_80 true _let_77 false _let_84)) :args (_let_75 true _let_74)))) (let ((_let_107 (REFL :args (_let_73)))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_73 0)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_63))) :args _let_55)) :args ((or _let_63 _let_73))) _let_106 :args (_let_63 true _let_73)))) (let ((_let_109 (= tptp.tptp3 tptp.tptp4))) (let ((_let_110 (not _let_64))) (let ((_let_111 (or _let_31 _let_110 _let_109))) (let ((_let_112 (forall ((X28 $$unsorted) (X29 $$unsorted) (X30 $$unsorted)) (or (not (tptp.occurrence_of X28 X29)) (not (tptp.occurrence_of X28 X30)) (= X29 X30))))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (_let_112))) (let ((_let_115 (ASSUME :args (_let_110)))) (let ((_let_116 (APPLY_UF tptp.occurrence_of))) (let ((_let_117 (ASSUME :args (_let_17)))) (let ((_let_118 (ASSUME :args (_let_63)))) (let ((_let_119 (and _let_18 (forall ((X81 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X81 tptp.tptp0)) (not (tptp.min_precedes X81 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 tptp.tptp0))))))) (let ((_let_120 (= _let_70 _let_119))) (let ((_let_121 (forall ((X78 $$unsorted) (X79 $$unsorted) (X80 $$unsorted)) (= (tptp.next_subocc X78 X79 X80) (and (tptp.min_precedes X78 X79 X80) (forall ((X81 $$unsorted)) (or (not (tptp.min_precedes X78 X81 X80)) (not (tptp.min_precedes X81 X79 X80))))))))) (let ((_let_122 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_17 _let_14 (not _let_20)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_119 0)) :args ((or _let_18 (not _let_119)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_120)) :args ((or _let_71 _let_119 (not _let_120)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_73 1)) (CONG _let_107 (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_70))) :args _let_55)) :args ((or _let_70 _let_73))) _let_106 :args (_let_70 true _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.next_subocc X78 X79 X80)))) :args (_let_121))) _let_122 :args (_let_120 false _let_121)) :args (_let_119 false _let_70 false _let_120)) :args (_let_18 false _let_119)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_115 _let_117 _let_118) :args (_let_110 _let_63 _let_17)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_118)) (CONG (SYMM _let_117) (REFL :args (tptp.tptp3)) :args _let_116) (FALSE_INTRO _let_115))) :args (_let_110 _let_17 _let_63)) :args ((not (and _let_110 _let_63 _let_17)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_110) _let_64))) (REFL :args (_let_72)) (REFL :args (_let_65)) :args _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_109 _let_31 _let_110 (not _let_111)))) (SYMM (ASSUME :args (_let_6))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 2)) (CONG _let_61 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_55)) :args ((or _let_30 _let_35))) _let_60 :args (_let_30 true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_113 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp4 tptp.tptp3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.occurrence_of X28 X29) false)) (not (= (tptp.occurrence_of X28 X30) false))))) :args _let_114))) _let_113 :args (_let_111 false _let_112)) :args (_let_110 true _let_109 false _let_30 false _let_111)) _let_108 :args (_let_65 true _let_64 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_62) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 QUANTIFIERS_INST_CBQI_PROP)) :args _let_62))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 6)) (CONG _let_61 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_55)) :args ((or _let_21 _let_35))) _let_60 :args (_let_21 true _let_35)) :args (_let_20 false _let_21)) :args (_let_14 false _let_18 true _let_17 false _let_20)))) (let ((_let_124 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 tptp.tptp2))) (let ((_let_125 (not _let_124))) (let ((_let_126 (or _let_72 _let_125 _let_4))) (let ((_let_127 (not _let_14))) (let ((_let_128 (REFL :args (_let_127)))) (let ((_let_129 (and _let_14 _let_125))) (let ((_let_130 (ASSUME :args (_let_125)))) (let ((_let_131 (ASSUME :args (_let_14)))) (let ((_let_132 (SYMM (SYMM _let_131)))) (let ((_let_133 (_let_27))) (let ((_let_134 (not _let_16))) (let ((_let_135 (or _let_72 _let_134 _let_2))) (let ((_let_136 (ASSUME :args (_let_134)))) (let ((_let_137 (ASSUME :args (_let_15)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_136 _let_131 _let_137) :args (_let_15 _let_14 _let_134)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_137)) (CONG _let_132 (REFL :args (tptp.tptp1)) :args _let_116) (FALSE_INTRO _let_136))) :args (_let_134 _let_14 _let_15)) :args ((not (and _let_15 _let_14 _let_134)) SB_LITERAL))) (CONG (REFL :args (_let_24)) _let_128 (MACRO_SR_PRED_INTRO :args ((= (not _let_134) _let_16))) :args _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_2 _let_72 _let_134 (not _let_135)))) (ASSUME :args (_let_3)) _let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 tptp.tptp3 tptp.tptp1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_114)) _let_113 :args (_let_135 false _let_112)) :args (_let_134 true _let_2 false _let_63 false _let_135)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_133) (CONG (REFL :args _let_133) (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_15))) :args _let_55)) :args ((or _let_25 _let_15 _let_27))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_129)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_130 _let_131) (SCOPE (FALSE_ELIM (TRANS (CONG _let_132 (REFL :args (tptp.tptp2)) :args _let_116) (FALSE_INTRO _let_130))) :args (_let_125 _let_14))) :args (_let_14 _let_125))) :args (true _let_129)) (CONG _let_128 (MACRO_SR_PRED_INTRO :args ((= (not _let_125) _let_124))) (REFL :args (_let_26)) :args _let_55)) :args ((or _let_26 _let_127 _let_124))) _let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_4 _let_72 _let_125 (not _let_126)))) (ASSUME :args (_let_5)) _let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 tptp.tptp3 tptp.tptp2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_114)) _let_113 :args (_let_126 false _let_112)) :args (_let_125 true _let_4 false _let_63 false _let_126)) :args (_let_26 false _let_14 true _let_124)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_35 4)) _let_60 :args ((not _let_27) true _let_35)) :args (_let_15 true _let_25 true _let_27)) _let_123 :args (false true _let_16 false _let_15 false _let_14)) :args ((forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.occurrence_of X1 X0) (not (tptp.atomic X0))) (exists ((X2 $$unsorted)) (and (tptp.root X2 X0) (tptp.subactivity_occurrence X2 X1))))) (forall ((X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted)) (=> (and (tptp.occurrence_of X4 X3) (tptp.root_occ X6 X4) (tptp.leaf_occ X7 X4) (tptp.subactivity_occurrence X5 X4) (tptp.min_precedes X6 X5 X3) (not (= X5 X7))) (tptp.min_precedes X5 X7 X3))) (forall ((X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted) (X11 $$unsorted)) (=> (and (tptp.occurrence_of X9 X8) (tptp.subactivity_occurrence X10 X9) (tptp.leaf_occ X11 X9) (tptp.arboreal X10) (not (tptp.min_precedes X10 X11 X8))) (= X11 X10))) (forall ((X12 $$unsorted) (X13 $$unsorted)) (=> (tptp.occurrence_of X13 X12) (and (tptp.activity X12) (tptp.activity_occurrence X13)))) (forall ((X14 $$unsorted) (X15 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (=> (and (tptp.occurrence_of X15 X14) (tptp.arboreal X16) (tptp.arboreal X17) (tptp.subactivity_occurrence X16 X15) (tptp.subactivity_occurrence X17 X15)) (or (tptp.min_precedes X16 X17 X14) (tptp.min_precedes X17 X16 X14) (= X16 X17)))) (forall ((X18 $$unsorted) (X19 $$unsorted)) (=> (tptp.root X19 X18) (exists ((X20 $$unsorted)) (and (tptp.subactivity X20 X18) (tptp.atocc X19 X20))))) _let_13 (forall ((X25 $$unsorted) (X26 $$unsorted)) (=> (and (tptp.leaf X25 X26) (not (tptp.atomic X26))) (exists ((X27 $$unsorted)) (and (tptp.occurrence_of X27 X26) (tptp.leaf_occ X25 X27))))) _let_12 _let_11 (forall ((X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted)) (=> (and (tptp.occurrence_of X35 X37) (tptp.root_occ X36 X35)) (not (exists ((X38 $$unsorted)) (tptp.min_precedes X38 X36 X37))))) (forall ((X39 $$unsorted) (X40 $$unsorted)) (=> (tptp.subactivity_occurrence X39 X40) (and (tptp.activity_occurrence X39) (tptp.activity_occurrence X40)))) (forall ((X41 $$unsorted)) (=> (tptp.activity_occurrence X41) (exists ((X42 $$unsorted)) (and (tptp.activity X42) (tptp.occurrence_of X41 X42))))) (forall ((X43 $$unsorted)) (=> (tptp.legal X43) (tptp.arboreal X43))) (forall ((X44 $$unsorted) (X45 $$unsorted)) (= (tptp.atocc X44 X45) (exists ((X46 $$unsorted)) (and (tptp.subactivity X45 X46) (tptp.atomic X46) (tptp.occurrence_of X44 X46))))) (forall ((X47 $$unsorted) (X48 $$unsorted)) (= (tptp.leaf X47 X48) (and (or (tptp.root X47 X48) (exists ((X49 $$unsorted)) (tptp.min_precedes X49 X47 X48))) (not (exists ((X50 $$unsorted)) (tptp.min_precedes X47 X50 X48)))))) _let_10 (forall ((X53 $$unsorted) (X54 $$unsorted)) (=> (tptp.root X53 X54) (tptp.legal X53))) (forall ((X55 $$unsorted) (X56 $$unsorted)) (= (tptp.leaf_occ X55 X56) (exists ((X57 $$unsorted)) (and (tptp.occurrence_of X56 X57) (tptp.subactivity_occurrence X55 X56) (tptp.leaf X55 X57))))) (forall ((X58 $$unsorted) (X59 $$unsorted)) (= (tptp.root_occ X58 X59) (exists ((X60 $$unsorted)) (and (tptp.occurrence_of X59 X60) (tptp.subactivity_occurrence X58 X59) (tptp.root X58 X60))))) (forall ((X61 $$unsorted) (X62 $$unsorted)) (=> (tptp.earlier X61 X62) (not (tptp.earlier X62 X61)))) (forall ((X63 $$unsorted) (X64 $$unsorted)) (= (tptp.precedes X63 X64) (and (tptp.earlier X63 X64) (tptp.legal X64)))) (forall ((X65 $$unsorted) (X66 $$unsorted) (X67 $$unsorted)) (=> (tptp.min_precedes X65 X66 X67) (not (tptp.root X66 X67)))) (forall ((X68 $$unsorted) (X69 $$unsorted) (X70 $$unsorted)) (=> (tptp.min_precedes X68 X69 X70) (exists ((X71 $$unsorted)) (and (tptp.root X71 X70) (tptp.min_precedes X71 X69 X70))))) (forall ((X72 $$unsorted) (X73 $$unsorted) (X74 $$unsorted)) (=> (tptp.min_precedes X72 X73 X74) (tptp.precedes X72 X73))) (forall ((X75 $$unsorted) (X76 $$unsorted) (X77 $$unsorted)) (=> (tptp.next_subocc X75 X76 X77) (and (tptp.arboreal X75) (tptp.arboreal X76)))) _let_9 (forall ((X82 $$unsorted) (X83 $$unsorted) (X84 $$unsorted) (X85 $$unsorted)) (=> (and (tptp.min_precedes X82 X83 X84) (tptp.occurrence_of X85 X84) (tptp.subactivity_occurrence X83 X85)) (tptp.subactivity_occurrence X82 X85))) (forall ((X86 $$unsorted) (X87 $$unsorted) (X88 $$unsorted) (X89 $$unsorted)) (=> (and (tptp.occurrence_of X88 X89) (not (tptp.atomic X89)) (tptp.leaf_occ X86 X88) (tptp.leaf_occ X87 X88)) (= X86 X87))) (forall ((X90 $$unsorted) (X91 $$unsorted) (X92 $$unsorted) (X93 $$unsorted)) (=> (and (tptp.occurrence_of X92 X93) (tptp.root_occ X90 X92) (tptp.root_occ X91 X92)) (= X90 X91))) (forall ((X94 $$unsorted) (X95 $$unsorted) (X96 $$unsorted)) (=> (and (tptp.earlier X94 X95) (tptp.earlier X95 X96)) (tptp.earlier X94 X96))) (forall ((X97 $$unsorted) (X98 $$unsorted) (X99 $$unsorted) (X100 $$unsorted)) (=> (and (tptp.min_precedes X97 X98 X100) (tptp.min_precedes X97 X99 X100) (tptp.precedes X98 X99)) (tptp.min_precedes X98 X99 X100))) _let_8 (tptp.activity tptp.tptp0) (not (tptp.atomic tptp.tptp0)) (tptp.atomic tptp.tptp4) (tptp.atomic tptp.tptp2) (tptp.atomic tptp.tptp1) _let_7 _let_6 (not (= tptp.tptp4 tptp.tptp2)) (not (= tptp.tptp4 tptp.tptp1)) _let_5 _let_3 (not (= tptp.tptp2 tptp.tptp1)) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.76/26.96  )
% 26.76/26.96  % SZS output end Proof for PRO017+4
% 26.76/26.96  % cvc5---1.0.5 exiting
% 26.76/26.96  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------