%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PRO014+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.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 13:06:26 EDT 2023

% Result   : Theorem 25.80s 26.05s
% Output   : Proof 25.80s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PRO014+4 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n021.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon Aug 28 19:22:28 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 25.80/26.05  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.lftytG2OL5/cvc5---1.0.5_7048.p...
% 25.80/26.05  ------- get file name : TPTP file name is PRO014+4
% 25.80/26.05  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_7048.smt2...
% 25.80/26.05  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.80/26.05  --- Run --no-e-matching --full-saturate-quant at 5...
% 25.80/26.05  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.80/26.05  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.80/26.05  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.80/26.05  % SZS status Theorem for PRO014+4
% 25.80/26.05  % SZS output start Proof for PRO014+4
% 25.80/26.05  (
% 25.80/26.05  (let ((_let_1 (not (forall ((X106 $$unsorted) (X107 $$unsorted)) (=> (and (tptp.occurrence_of X107 tptp.tptp0) (tptp.subactivity_occurrence X106 X107) (tptp.arboreal X106) (not (tptp.leaf_occ X106 X107))) (exists ((X108 $$unsorted) (X109 $$unsorted)) (and (tptp.occurrence_of X108 tptp.tptp3) (tptp.next_subocc X106 X108 tptp.tptp0) (or (tptp.occurrence_of X109 tptp.tptp2) (tptp.occurrence_of X109 tptp.tptp1)) (tptp.min_precedes X108 X109 tptp.tptp0) (tptp.leaf X109 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 (tptp.atomic tptp.tptp3))) (let ((_let_7 (tptp.atomic tptp.tptp0))) (let ((_let_8 (not _let_7))) (let ((_let_9 (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 $$unsorted)) (and (tptp.occurrence_of X103 tptp.tptp3) (tptp.next_subocc X101 X103 tptp.tptp0) (tptp.occurrence_of X104 tptp.tptp4) (tptp.next_subocc X103 X104 tptp.tptp0) (or (tptp.occurrence_of X105 tptp.tptp2) (tptp.occurrence_of X105 tptp.tptp1)) (tptp.next_subocc X104 X105 tptp.tptp0) (tptp.leaf X105 tptp.tptp0))))))) (let ((_let_10 (forall ((X82 $$unsorted) (X83 $$unsorted) (X84 $$unsorted) (X85 $$unsorted)) (=> (and (tptp.min_precedes X82 X83 X84) (tptp.occurrence_of X85 X84) (tptp.subactivity_occurrence X83 X85)) (tptp.subactivity_occurrence X82 X85))))) (let ((_let_11 (forall ((X78 $$unsorted) (X79 $$unsorted) (X80 $$unsorted)) (= (tptp.next_subocc X78 X79 X80) (and (tptp.min_precedes X78 X79 X80) (not (exists ((X81 $$unsorted)) (and (tptp.min_precedes X78 X81 X80) (tptp.min_precedes X81 X79 X80))))))))) (let ((_let_12 (forall ((X55 $$unsorted) (X56 $$unsorted)) (= (tptp.leaf_occ X55 X56) (exists ((X57 $$unsorted)) (and (tptp.occurrence_of X56 X57) (tptp.subactivity_occurrence X55 X56) (tptp.leaf X55 X57))))))) (let ((_let_13 (forall ((X51 $$unsorted) (X52 $$unsorted)) (=> (tptp.occurrence_of X51 X52) (= (tptp.arboreal X51) (tptp.atomic X52)))))) (let ((_let_14 (forall ((X28 $$unsorted) (X29 $$unsorted) (X30 $$unsorted)) (=> (and (tptp.occurrence_of X28 X29) (tptp.occurrence_of X28 X30)) (= X29 X30))))) (let ((_let_15 (forall ((X25 $$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 ((_let_16 (forall ((X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted) (X11 $$unsorted)) (=> (and (tptp.occurrence_of X9 X8) (tptp.subactivity_occurrence X10 X9) (tptp.leaf_occ X11 X9) (tptp.arboreal X10) (not (tptp.min_precedes X10 X11 X8))) (= X11 X10))))) (let ((_let_17 (forall ((X28 $$unsorted) (X29 $$unsorted) (X30 $$unsorted)) (or (not (tptp.occurrence_of X28 X29)) (not (tptp.occurrence_of X28 X30)) (= X29 X30))))) (let ((_let_18 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp1))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp3))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_2))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (not _let_22))) (let ((_let_25 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_26 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp1))) (let ((_let_27 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0))) (let ((_let_28 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 tptp.tptp0))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33 _let_31 _let_29 _let_27 _let_25))) (let ((_let_37 (forall ((X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted) (X11 $$unsorted)) (or (not (tptp.occurrence_of X9 X8)) (not (tptp.subactivity_occurrence X10 X9)) (not (tptp.leaf_occ X11 X9)) (not (tptp.arboreal X10)) (tptp.min_precedes X10 X11 X8) (= X10 X11))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_35 _let_40 _let_32))) (let ((_let_44 (forall ((X82 $$unsorted) (X83 $$unsorted) (X84 $$unsorted) (X85 $$unsorted)) (or (not (tptp.min_precedes X82 X83 X84)) (not (tptp.occurrence_of X85 X84)) (not (tptp.subactivity_occurrence X83 X85)) (tptp.subactivity_occurrence X82 X85))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (_let_44))) (let ((_let_47 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_35 _let_48 _let_39))) (let ((_let_52 (and _let_47 (not (forall ((X57 $$unsorted)) (or (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 X57)) (not (tptp.leaf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X57)))))))) (let ((_let_53 (= _let_30 _let_52))) (let ((_let_54 (forall ((X55 $$unsorted) (X56 $$unsorted)) (= (tptp.leaf_occ X55 X56) (and (tptp.subactivity_occurrence X55 X56) (not (forall ((X57 $$unsorted)) (or (not (tptp.occurrence_of X56 X57)) (not (tptp.leaf X55 X57)))))))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (or _let_35 _let_31))) (let ((_let_57 (forall ((X27 $$unsorted)) (or (not (tptp.occurrence_of X27 tptp.tptp0)) (not (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X27)))))) (let ((_let_58 (not _let_56))) (let ((_let_59 (not _let_57))) (let ((_let_60 (tptp.leaf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_7 _let_59))) (let ((_let_63 (forall ((X25 $$unsorted) (X26 $$unsorted)) (or (not (tptp.leaf X25 X26)) (tptp.atomic X26) (not (forall ((X27 $$unsorted)) (or (not (tptp.occurrence_of X27 X26)) (not (tptp.leaf_occ X25 X27))))))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0))) (let ((_let_66 (not _let_65))) (let ((_let_67 (not _let_26))) (let ((_let_68 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp2))) (let ((_let_69 (not _let_68))) (let ((_let_70 (and _let_69 _let_67))) (let ((_let_71 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp0))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_21 _let_74 (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp4)) _let_72 _let_70 _let_66 _let_61))) (let ((_let_76 (forall ((X103 $$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.next_subocc X103 X104 tptp.tptp0)) (and (not (tptp.occurrence_of X105 tptp.tptp2)) (not (tptp.occurrence_of X105 tptp.tptp1))) (not (tptp.next_subocc X104 X105 tptp.tptp0)) (not (tptp.leaf X105 tptp.tptp0)))))) (let ((_let_77 (not _let_75))) (let ((_let_78 (not _let_76))) (let ((_let_79 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_80 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_83 (not _let_82))) (let ((_let_84 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.tptp0))) (let ((_let_85 (not _let_84))) (let ((_let_86 (or _let_85 _let_83 _let_81 _let_79 _let_78))) (let ((_let_87 (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 $$unsorted)) (or (not (tptp.occurrence_of X103 tptp.tptp3)) (not (tptp.next_subocc X101 X103 tptp.tptp0)) (not (tptp.occurrence_of X104 tptp.tptp4)) (not (tptp.next_subocc X103 X104 tptp.tptp0)) (and (not (tptp.occurrence_of X105 tptp.tptp2)) (not (tptp.occurrence_of X105 tptp.tptp1))) (not (tptp.next_subocc X104 X105 tptp.tptp0)) (not (tptp.leaf X105 tptp.tptp0))))))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (forall ((X108 $$unsorted) (X109 $$unsorted)) (or (not (tptp.occurrence_of X108 tptp.tptp3)) (not (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X108 tptp.tptp0)) (and (not (tptp.occurrence_of X109 tptp.tptp2)) (not (tptp.occurrence_of X109 tptp.tptp1))) (not (tptp.min_precedes X108 X109 tptp.tptp0)) (not (tptp.leaf X109 tptp.tptp0)))))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_85 _let_83 _let_81 _let_79 _let_90))) (let ((_let_92 (forall ((X106 $$unsorted) (X107 $$unsorted)) (or (not (tptp.occurrence_of X107 tptp.tptp0)) (not (tptp.subactivity_occurrence X106 X107)) (not (tptp.arboreal X106)) (tptp.leaf_occ X106 X107) (not (forall ((X108 $$unsorted) (X109 $$unsorted)) (or (not (tptp.occurrence_of X108 tptp.tptp3)) (not (tptp.next_subocc X106 X108 tptp.tptp0)) (and (not (tptp.occurrence_of X109 tptp.tptp2)) (not (tptp.occurrence_of X109 tptp.tptp1))) (not (tptp.min_precedes X108 X109 tptp.tptp0)) (not (tptp.leaf X109 tptp.tptp0))))))))) (let ((_let_93 (not _let_91))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (or))) (let ((_let_96 (not _let_92))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_94) :args (_let_96))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_92))) (REFL :args (_let_93)) :args _let_95)) _let_94 :args (_let_93 true _let_92)))) (let ((_let_98 (REFL :args (_let_91)))) (let ((_let_99 (_let_78))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_99)) :args _let_99)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_76))) (REFL :args (_let_77)) :args _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_85 _let_83 _let_81 _let_79 _let_78 (not _let_86)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_91 0)) (CONG _let_98 (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_84))) :args _let_95)) :args ((or _let_84 _let_91))) _let_97 :args (_let_84 true _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_91 1)) (CONG _let_98 (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_82))) :args _let_95)) :args ((or _let_82 _let_91))) _let_97 :args (_let_82 true _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_91 2)) (CONG _let_98 (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_80))) :args _let_95)) :args ((or _let_80 _let_91))) _let_97 :args (_let_80 true _let_91)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_91 3)) _let_97 :args ((not _let_79) true _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subactivity_occurrence X101 X102) false))))) :args (_let_87))) _let_88 :args (_let_86 false _let_87)) :args (_let_78 false _let_84 false _let_82 false _let_80 true _let_79 false _let_86)) :args (_let_77 true _let_76)))) (let ((_let_101 (REFL :args (_let_75)))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_75 6)) (CONG _let_101 (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_60))) :args _let_95)) :args ((or _let_60 _let_75))) _let_100 :args (_let_60 true _let_75)))) (let ((_let_103 (_let_59))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_103)) :args _let_103)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_57))) (REFL :args (_let_58)) :args _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_7 _let_61 _let_59 (not _let_62)))) (ASSUME :args (_let_8)) _let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.leaf X25 X26) false))))) :args (_let_63))) _let_64 :args (_let_62 false _let_63)) :args (_let_59 true _let_7 false _let_60 false _let_62)) :args (_let_58 true _let_57)))) (let ((_let_105 (REFL :args (_let_56)))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 1)) (CONG _let_105 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_95)) :args ((or _let_30 _let_56))) _let_104 :args (_let_30 true _let_56)))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 0)) (CONG _let_105 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_95)) :args ((or _let_34 _let_56))) _let_104 :args (_let_34 true _let_56)))) (let ((_let_108 (and _let_49 (forall ((X81 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 X81 tptp.tptp0)) (not (tptp.min_precedes X81 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0))))))) (let ((_let_109 (= _let_65 _let_108))) (let ((_let_110 (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_111 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (_let_110))) (let ((_let_113 ((tptp.next_subocc X78 X79 X80)))) (let ((_let_114 (and _let_41 (forall ((X81 $$unsorted)) (or (not (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 X81 tptp.tptp0)) (not (tptp.min_precedes X81 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0))))))) (let ((_let_115 (= _let_71 _let_114))) (let ((_let_116 (= _let_6 _let_28))) (let ((_let_117 (or _let_21 _let_116))) (let ((_let_118 (forall ((X51 $$unsorted) (X52 $$unsorted)) (or (not (tptp.occurrence_of X51 X52)) (= (tptp.arboreal X51) (tptp.atomic X52)))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_75 0)) (CONG _let_101 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_95)) :args ((or _let_20 _let_75))) _let_100 :args (_let_20 true _let_75)))) (let ((_let_121 (not _let_27))) (let ((_let_122 (or _let_21 _let_74 _let_70 _let_121 _let_61))) (let ((_let_123 (_let_89))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_75 4)) _let_100 :args ((not _let_70) true _let_75)))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_27 _let_29 _let_35 _let_31 _let_33 _let_25 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_122)) :args ((or _let_21 _let_74 _let_70 _let_61 _let_121 (not _let_122)))) _let_120 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_75 1)) (CONG _let_101 (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_73))) :args _let_95)) :args ((or _let_73 _let_75))) _let_100 :args (_let_73 true _let_75)) _let_124 _let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_123) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.occurrence_of X108 tptp.tptp3) false)) (tptp.occurrence_of X109 tptp.tptp2)))) :args _let_123)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_91 4)) (CONG _let_98 (MACRO_SR_PRED_INTRO :args ((= (not _let_90) _let_89))) :args _let_95)) :args ((or _let_89 _let_91))) _let_97 :args (_let_89 true _let_91)) :args (_let_122 false _let_89)) :args (_let_121 false _let_20 false _let_73 true _let_70 false _let_60 false _let_122)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_116)) :args ((or (not _let_6) _let_28 (not _let_116)))) (ASSUME :args (_let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_21 _let_116 (not _let_117)))) _let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_119 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.occurrence_of X51 X52) false))))) :args (_let_118)))) _let_119 :args (_let_117 false _let_118)) :args (_let_116 false _let_20 false _let_117)) :args (_let_28 false _let_6 false _let_116)) _let_107 _let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_42 _let_35 _let_40 _let_32 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_114 0)) :args ((or _let_41 (not _let_114)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_115)) :args ((or _let_72 _let_114 (not _let_115)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_75 3)) (CONG _let_101 (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_71))) :args _let_95)) :args ((or _let_71 _let_75))) _let_100 :args (_let_71 true _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_113)) :args _let_112)) _let_111 :args (_let_115 false _let_110)) :args (_let_114 false _let_71 false _let_115)) :args (_let_41 false _let_114)) _let_107 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_50 _let_35 _let_39 _let_48 (not _let_51)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_108 0)) :args ((or _let_49 (not _let_108)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_109)) :args ((or _let_66 _let_108 (not _let_109)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_75 5)) (CONG _let_101 (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_65))) :args _let_95)) :args ((or _let_65 _let_75))) _let_100 :args (_let_65 true _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_113)) :args _let_112)) _let_111 :args (_let_109 false _let_110)) :args (_let_108 false _let_65 false _let_109)) :args (_let_49 false _let_108)) _let_107 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_52 0)) :args ((or _let_47 (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_53)) :args ((or _let_31 _let_52 (not _let_53)))) _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.leaf_occ X55 X56)))) :args (_let_54))) _let_55 :args (_let_53 false _let_54)) :args (_let_52 false _let_30 false _let_53)) :args (_let_47 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_46)) _let_45 :args (_let_51 false _let_44)) :args (_let_39 false _let_49 false _let_34 false _let_47 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.min_precedes X82 X83 X84) false)) (not (= (tptp.occurrence_of X85 X84) false))))) :args _let_46)) _let_45 :args (_let_43 false _let_44)) :args (_let_32 false _let_41 false _let_34 false _let_39 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_37))) _let_38 :args (_let_36 false _let_37)) :args (_let_25 true _let_27 false _let_28 false _let_34 false _let_30 false _let_32 false _let_36)))) (let ((_let_126 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp2))) (let ((_let_127 (not _let_126))) (let ((_let_128 (or _let_21 _let_127 _let_4))) (let ((_let_129 (_let_17))) (let ((_let_130 (not _let_25))) (let ((_let_131 (and _let_127 _let_25))) (let ((_let_132 (_let_127 _let_25))) (let ((_let_133 (ASSUME :args (_let_127)))) (let ((_let_134 (APPLY_UF tptp.occurrence_of))) (let ((_let_135 (ASSUME :args (_let_25)))) (let ((_let_136 (SYMM (SYMM _let_135)))) (let ((_let_137 (_let_70))) (let ((_let_138 (and _let_26 _let_25))) (let ((_let_139 (_let_26 _let_25))) (let ((_let_140 (ASSUME :args (_let_26)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp3 tptp.tptp1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_129)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_2 _let_21 _let_19 _let_24))) (ASSUME :args (_let_3)) _let_120 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_138)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_140 _let_135) (SCOPE (TRUE_ELIM (TRANS (CONG _let_136 (REFL :args (tptp.tptp1)) :args _let_134) (TRUE_INTRO _let_140))) :args _let_139)) :args _let_139)) :args (true _let_138)) :args ((or _let_67 _let_18 _let_130))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_137) (CONG (REFL :args _let_137) (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_68))) (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_26))) :args _let_95)) :args ((or _let_68 _let_26 _let_70))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_131)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_133 _let_135) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_136) (REFL :args (tptp.tptp2)) :args _let_134) (FALSE_INTRO _let_133))) :args _let_132)) :args _let_132)) :args (true _let_131)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_127) _let_126))) (REFL :args (_let_130)) (REFL :args (_let_69)) :args _let_95)) :args ((or _let_69 _let_126 _let_130))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_128)) :args ((or _let_4 _let_21 _let_127 (not _let_128)))) (ASSUME :args (_let_5)) _let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.tptp3 tptp.tptp2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_129)) _let_23 :args (_let_128 false _let_17)) :args (_let_127 true _let_4 false _let_20 false _let_128)) _let_125 :args (_let_69 true _let_126 false _let_25)) _let_124 :args (_let_26 true _let_68 true _let_70)) _let_125 :args (_let_18 false _let_26 false _let_25)) :args (_let_24 true _let_2 false _let_20 false _let_18)) _let_23 :args (false true _let_22 false _let_17)) :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 $$unsorted)) (=> (and (tptp.occurrence_of X4 X3) (tptp.root_occ X6 X4) (tptp.leaf_occ X7 X4) (tptp.subactivity_occurrence X5 X4) (tptp.min_precedes X6 X5 X3) (not (= X5 X7))) (tptp.min_precedes X5 X7 X3))) _let_16 (forall ((X12 $$unsorted) (X13 $$unsorted)) (=> (tptp.occurrence_of X13 X12) (and (tptp.activity X12) (tptp.activity_occurrence X13)))) (forall ((X14 $$unsorted) (X15 $$unsorted) (X16 $$unsorted) (X17 $$unsorted)) (=> (and (tptp.occurrence_of X15 X14) (tptp.arboreal X16) (tptp.arboreal X17) (tptp.subactivity_occurrence X16 X15) (tptp.subactivity_occurrence X17 X15)) (or (tptp.min_precedes X16 X17 X14) (tptp.min_precedes X17 X16 X14) (= X16 X17)))) (forall ((X18 $$unsorted) (X19 $$unsorted)) (=> (tptp.root X19 X18) (exists ((X20 $$unsorted)) (and (tptp.subactivity X20 X18) (tptp.atocc X19 X20))))) (forall ((X21 $$unsorted) (X22 $$unsorted) (X23 $$unsorted)) (=> (tptp.min_precedes X22 X23 X21) (exists ((X24 $$unsorted)) (and (tptp.occurrence_of X24 X21) (tptp.subactivity_occurrence X22 X24) (tptp.subactivity_occurrence X23 X24))))) _let_15 _let_14 (forall ((X31 $$unsorted) (X32 $$unsorted) (X33 $$unsorted)) (=> (and (tptp.occurrence_of X31 X33) (tptp.leaf_occ X32 X31)) (not (exists ((X34 $$unsorted)) (tptp.min_precedes X32 X34 X33))))) (forall ((X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted)) (=> (and (tptp.occurrence_of X35 X37) (tptp.root_occ X36 X35)) (not (exists ((X38 $$unsorted)) (tptp.min_precedes X38 X36 X37))))) (forall ((X39 $$unsorted) (X40 $$unsorted)) (=> (tptp.subactivity_occurrence X39 X40) (and (tptp.activity_occurrence X39) (tptp.activity_occurrence X40)))) (forall ((X41 $$unsorted)) (=> (tptp.activity_occurrence X41) (exists ((X42 $$unsorted)) (and (tptp.activity X42) (tptp.occurrence_of X41 X42))))) (forall ((X43 $$unsorted)) (=> (tptp.legal X43) (tptp.arboreal X43))) (forall ((X44 $$unsorted) (X45 $$unsorted)) (= (tptp.atocc X44 X45) (exists ((X46 $$unsorted)) (and (tptp.subactivity X45 X46) (tptp.atomic X46) (tptp.occurrence_of X44 X46))))) (forall ((X47 $$unsorted) (X48 $$unsorted)) (= (tptp.leaf X47 X48) (and (or (tptp.root X47 X48) (exists ((X49 $$unsorted)) (tptp.min_precedes X49 X47 X48))) (not (exists ((X50 $$unsorted)) (tptp.min_precedes X47 X50 X48)))))) _let_13 (forall ((X53 $$unsorted) (X54 $$unsorted)) (=> (tptp.root X53 X54) (tptp.legal X53))) _let_12 (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_11 _let_10 (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_9 (tptp.activity tptp.tptp0) _let_8 (tptp.atomic tptp.tptp4) (tptp.atomic tptp.tptp2) (tptp.atomic tptp.tptp1) _let_6 (not (= tptp.tptp4 tptp.tptp3)) (not (= tptp.tptp4 tptp.tptp2)) (not (= tptp.tptp4 tptp.tptp1)) _let_5 _let_3 (not (= tptp.tptp2 tptp.tptp1)) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.80/26.05  )
% 25.80/26.05  % SZS output end Proof for PRO014+4
% 25.80/26.05  % cvc5---1.0.5 exiting
% 25.80/26.05  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------