%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV404+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n020.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 21:51:01 EDT 2023

% Result   : Theorem 0.20s 0.64s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SWV404+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 07:32:28 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.64  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.YTxV64Li8a/cvc5---1.0.5_28431.p...
% 0.20/0.64  ------- get file name : TPTP file name is SWV404+1
% 0.20/0.64  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_28431.smt2...
% 0.20/0.64  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.64  % SZS status Theorem for SWV404+1
% 0.20/0.64  % SZS output start Proof for SWV404+1
% 0.20/0.64  (
% 0.20/0.64  (let ((_let_1 (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.triple U V W))) (let ((_let_2 (tptp.removemin_cpq_eff _let_1))) (=> (and (tptp.check_cpq _let_2) (tptp.ok _let_2)) (tptp.check_cpq _let_1)))))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.triple U V W))) (=> (not (tptp.check_cpq _let_1)) (not (tptp.check_cpq (tptp.findmin_cpq_eff _let_1)))))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.triple U V W))) (let ((_let_2 (tptp.remove_cpq _let_1 X))) (=> (and (tptp.check_cpq _let_2) (tptp.ok _let_2)) (tptp.check_cpq _let_1))))))) (let ((_let_4 (forall ((U $$unsorted)) (= (tptp.removemin_cpq_eff U) (tptp.remove_cpq (tptp.findmin_cpq_eff U) (tptp.findmin_cpq_res U)))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res U))) (=> (and (not (= V tptp.create_slb)) (tptp.contains_slb V _let_1) (tptp.less_than (tptp.lookup_slb V _let_1) _let_1)) (= (tptp.findmin_cpq_eff (tptp.triple U V W)) (tptp.triple U (tptp.update_slb V _let_1) W))))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res U))) (=> (and (not (= V tptp.create_slb)) (tptp.contains_slb V _let_1) (tptp.strictly_less_than _let_1 (tptp.lookup_slb V _let_1))) (= (tptp.findmin_cpq_eff (tptp.triple U V W)) (tptp.triple U (tptp.update_slb V _let_1) tptp.bad))))))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res U))) (=> (and (not (= V tptp.create_slb)) (not (tptp.contains_slb V _let_1))) (= (tptp.findmin_cpq_eff (tptp.triple U V W)) (tptp.triple U (tptp.update_slb V _let_1) tptp.bad))))))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted)) (tptp.check_cpq (tptp.triple U tptp.create_slb V))))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.strictly_less_than U V) (and (tptp.less_than U V) (not (tptp.less_than V U))))))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted)) (or (tptp.less_than U V) (tptp.less_than V U))))) (let ((_let_11 (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_12 (tptp.check_cpq _let_11))) (let ((_let_13 (tptp.check_cpq (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.create_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_14 (= tptp.create_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_15 (tptp.removemin_cpq_eff _let_11))) (let ((_let_16 (tptp.ok _let_15))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.check_cpq _let_15))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_17 _let_12))) (let ((_let_21 (not _let_12))) (let ((_let_22 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.triple U V W))) (let ((_let_2 (tptp.removemin_cpq_eff _let_1))) (or (not (tptp.check_cpq _let_2)) (not (tptp.ok _let_2)) (tptp.check_cpq _let_1))))))) (let ((_let_23 (not _let_20))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (or))) (let ((_let_26 (not _let_22))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_24) :args (_let_26))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_22))) (REFL :args (_let_23)) :args _let_25)) _let_24 :args (_let_23 true _let_22)))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_20 2)) _let_27 :args (_let_21 true _let_20)))) (let ((_let_29 (_let_8))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (tptp.findmin_pqp_res SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_32 (tptp.update_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_31))) (let ((_let_33 (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_32 tptp.bad))) (let ((_let_34 (tptp.findmin_cpq_eff _let_11))) (let ((_let_35 (= _let_34 _let_33))) (let ((_let_36 (tptp.contains_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_31))) (let ((_let_37 (or _let_14 _let_36 _let_35))) (let ((_let_38 (tptp.lookup_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_31))) (let ((_let_39 (tptp.strictly_less_than _let_31 _let_38))) (let ((_let_40 (not _let_39))) (let ((_let_41 (not _let_36))) (let ((_let_42 (or _let_14 _let_41 _let_40 _let_35))) (let ((_let_43 (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_44 (= _let_34 _let_43))) (let ((_let_45 (tptp.less_than _let_38 _let_31))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_14 _let_41 _let_46 _let_44))) (let ((_let_48 (tptp.less_than _let_31 _let_38))) (let ((_let_49 (and _let_48 _let_46))) (let ((_let_50 (= _let_39 _let_49))) (let ((_let_51 (or _let_48 _let_45))) (let ((_let_52 (forall ((V $$unsorted) (U $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res U))) (or (= tptp.create_slb V) (tptp.contains_slb V _let_1) (= (tptp.findmin_cpq_eff (tptp.triple U V W)) (tptp.triple U (tptp.update_slb V _let_1) tptp.bad))))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (tptp.check_cpq _let_34))) (let ((_let_55 (tptp.check_cpq _let_33))) (let ((_let_56 (tptp.findmin_cpq_res _let_11))) (let ((_let_57 (= _let_15 (tptp.remove_cpq _let_34 _let_56)))) (let ((_let_58 (tptp.remove_cpq _let_33 _let_56))) (let ((_let_59 (tptp.check_cpq _let_58))) (let ((_let_60 (tptp.ok _let_58))) (let ((_let_61 (not _let_60))) (let ((_let_62 (not _let_59))) (let ((_let_63 (or _let_62 _let_61 _let_55))) (let ((_let_64 (not _let_35))) (let ((_let_65 (not _let_54))) (let ((_let_66 (or _let_12 _let_65))) (let ((_let_67 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.triple U V W))) (or (tptp.check_cpq _let_1) (not (tptp.check_cpq (tptp.findmin_cpq_eff _let_1)))))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_12 _let_65 (not _let_66)))) _let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.triple U V W)))) :args (_let_67))) _let_68 :args (_let_66 false _let_67)) :args (_let_65 true _let_12 false _let_66)))) (let ((_let_70 (not _let_55))) (let ((_let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_54))))) (let ((_let_72 (ASSUME :args (_let_65)))) (let ((_let_73 (FALSE_INTRO _let_72))) (let ((_let_74 (APPLY_UF tptp.check_cpq))) (let ((_let_75 (ASSUME :args (_let_35)))) (let ((_let_76 (SYMM _let_75))) (let ((_let_77 (ASSUME :args (_let_55)))) (let ((_let_78 (REFL :args (_let_20)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 0)) (CONG _let_78 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_25)) :args ((or _let_18 _let_20))) _let_27 :args (_let_18 true _let_20)))) (let ((_let_80 (_let_4))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.removemin_cpq_eff U)))) :args _let_80)) _let_81 :args (_let_57 false _let_4)))) (let ((_let_83 (and _let_18 _let_35 _let_57))) (let ((_let_84 (ASSUME :args (_let_18)))) (let ((_let_85 (TRUE_INTRO _let_84))) (let ((_let_86 (ASSUME :args (_let_57)))) (let ((_let_87 (SYMM _let_86))) (let ((_let_88 (APPLY_UF tptp.remove_cpq))) (let ((_let_89 (REFL :args (_let_56)))) (let ((_let_90 (TRANS (CONG _let_76 _let_89 :args _let_88) _let_87))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 1)) (CONG _let_78 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_25)) :args ((or _let_16 _let_20))) _let_27 :args (_let_16 true _let_20)))) (let ((_let_92 (and _let_16 _let_35 _let_57))) (let ((_let_93 (ASSUME :args (_let_16)))) (let ((_let_94 (TRUE_INTRO _let_93))) (let ((_let_95 (APPLY_UF tptp.ok))) (let ((_let_96 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.triple U V W))) (let ((_let_2 (tptp.remove_cpq _let_1 X))) (or (not (tptp.check_cpq _let_2)) (not (tptp.ok _let_2)) (tptp.check_cpq _let_1))))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (_let_96))) (let ((_let_99 ((tptp.remove_cpq (tptp.triple U V W) X)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_55 _let_62 _let_61 (not _let_63)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_32 tptp.bad _let_56 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_98)) _let_97 :args (_let_63 false _let_96)) (RESOLUTION (CNF_AND_NEG :args (_let_92)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_93 _let_86 _let_75) (SCOPE (TRUE_ELIM (TRANS (CONG _let_90 :args _let_95) _let_94)) :args (_let_16 _let_57 _let_35))) :args (_let_16 _let_35 _let_57))) :args (true _let_92)) _let_82 _let_91 (RESOLUTION (CNF_AND_NEG :args (_let_83)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_84 _let_86 _let_75) (SCOPE (TRUE_ELIM (TRANS (CONG _let_90 :args _let_74) _let_85)) :args (_let_18 _let_57 _let_35))) :args (_let_18 _let_35 _let_57))) :args (true _let_83)) _let_82 _let_79 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_72 _let_75 _let_77) :args (_let_35 _let_65 _let_55)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_77)) (CONG _let_76 :args _let_74) _let_73)) :args (_let_65 _let_35 _let_55)) :args ((not (and _let_35 _let_65 _let_55)) SB_LITERAL))) (CONG (REFL :args (_let_64)) _let_71 (REFL :args (_let_70)) :args _let_25)) :args ((or _let_54 _let_64 _let_70))) _let_69 :args (_let_64 false _let_63 false _let_60 false _let_57 false _let_16 false _let_59 false _let_57 false _let_18 true _let_55 true _let_54)))) (let ((_let_101 (forall ((V $$unsorted) (U $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res U))) (or (= tptp.create_slb V) (not (tptp.contains_slb V _let_1)) (not (tptp.strictly_less_than _let_1 (tptp.lookup_slb V _let_1))) (= (tptp.findmin_cpq_eff (tptp.triple U V W)) (tptp.triple U (tptp.update_slb V _let_1) tptp.bad))))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (tptp.remove_cpq _let_43 _let_56))) (let ((_let_104 (tptp.check_cpq _let_103))) (let ((_let_105 (tptp.check_cpq _let_43))) (let ((_let_106 (tptp.ok _let_103))) (let ((_let_107 (not _let_106))) (let ((_let_108 (not _let_104))) (let ((_let_109 (or _let_108 _let_107 _let_105))) (let ((_let_110 (not _let_44))) (let ((_let_111 (REFL :args (_let_110)))) (let ((_let_112 (ASSUME :args (_let_44)))) (let ((_let_113 (SYMM _let_112))) (let ((_let_114 (TRANS (CONG _let_113 _let_89 :args _let_88) _let_87))) (let ((_let_115 (and _let_65 _let_44))) (let ((_let_116 (_let_65 _let_44))) (let ((_let_117 (and _let_16 _let_57 _let_44))) (let ((_let_118 (_let_16 _let_57 _let_44))) (let ((_let_119 (forall ((V $$unsorted) (U $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res U))) (or (= tptp.create_slb V) (not (tptp.contains_slb V _let_1)) (not (tptp.less_than (tptp.lookup_slb V _let_1) _let_1)) (= (tptp.findmin_cpq_eff (tptp.triple U V W)) (tptp.triple U (tptp.update_slb V _let_1) W))))))) (let ((_let_120 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_121 (_let_9))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 (not _let_48))) (let ((_let_124 (_let_49))) (let ((_let_125 (_let_10))) (let ((_let_126 (ASSUME :args _let_125))) (let ((_let_127 (ASSUME :args (_let_13)))) (let ((_let_128 (ASSUME :args (_let_14)))) (let ((_let_129 (ASSUME :args (_let_21)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_127 _let_128 _let_129) :args (_let_21 _let_14 _let_13)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_129)) (CONG (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (SYMM _let_128) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) :args (APPLY_UF tptp.triple)) :args _let_74) (TRUE_INTRO _let_127))) :args (_let_13 _let_14 _let_21)) :args ((not (and _let_21 _let_14 _let_13)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_12))) (REFL :args ((not _let_14))) (REFL :args ((not _let_13))) :args _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_48 _let_45 (not _let_51)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (_let_31 _let_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_than U V) true))))) :args _let_125)) _let_126 :args (_let_51 false _let_10)) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_124) (CONG (REFL :args _let_124) (REFL :args (_let_123)) (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_25)) :args ((or _let_45 _let_49 _let_123))) (REORDERING (CNF_EQUIV_POS2 :args (_let_50)) :args ((or _let_39 (not _let_49) (not _let_50)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_31 _let_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.strictly_less_than U V)))) :args _let_121)) _let_122 :args (_let_50 false _let_9)) (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_14 _let_41 _let_46 _let_44 (not _let_47)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.findmin_cpq_eff (tptp.triple U V W))))) :args (_let_119))) _let_120 :args (_let_47 false _let_119)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_108 _let_107 _let_105 (not _let_109)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_56 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_98)) _let_97 :args (_let_109 false _let_96)) (RESOLUTION (CNF_AND_NEG :args (_let_117)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_93 _let_86 _let_112) (SCOPE (TRUE_ELIM (TRANS (CONG _let_114 :args _let_95) _let_94)) :args _let_118)) :args _let_118)) :args (true _let_117)) _let_82 _let_91 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_115)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_72 _let_112) (SCOPE (FALSE_ELIM (TRANS (CONG _let_113 :args _let_74) _let_73)) :args _let_116)) :args _let_116)) :args (true _let_115)) (CONG _let_71 _let_111 (REFL :args ((not _let_105))) :args _let_25)) _let_69 (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_108)))) (CONG _let_114 :args _let_74) _let_85)) :args (_let_18 _let_57 _let_44 _let_108))) (CONG (REFL :args (_let_19)) (REFL :args ((not _let_57))) _let_111 (MACRO_SR_PRED_INTRO :args ((= (not _let_108) _let_104))) :args _let_25)) _let_82 _let_79 :args (_let_110 false _let_109 false _let_106 false _let_57 false _let_16 true _let_105 true _let_54 false _let_104 false _let_57 false _let_18)) (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_14 _let_35 _let_41 _let_40 (not _let_42)))) _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.triple U V W)))) :args (_let_101))) _let_102 :args (_let_42 false _let_101)) (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_14 _let_36 _let_35 (not _let_37)))) _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.triple U V W)))) :args (_let_52))) _let_53 :args (_let_37 false _let_52)) :args (_let_14 false _let_51 true _let_48 true _let_49 false _let_50 true _let_45 false _let_47 true _let_44 true _let_39 true _let_35 false _let_42 false _let_36 true _let_35 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.triple U tptp.create_slb V)))) :args _let_29)) _let_30 :args (_let_13 false _let_8)) _let_28 :args (false false _let_14 false _let_13 true _let_12)) :args ((forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (tptp.less_than U V) (tptp.less_than V W)) (tptp.less_than U W))) _let_10 (forall ((U $$unsorted)) (tptp.less_than U U)) _let_9 (forall ((U $$unsorted)) (tptp.less_than tptp.bottom U)) (not (tptp.isnonempty_slb tptp.create_slb)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (tptp.isnonempty_slb (tptp.insert_slb U (tptp.pair V W)))) (forall ((U $$unsorted)) (not (tptp.contains_slb tptp.create_slb U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (= (tptp.contains_slb (tptp.insert_slb U (tptp.pair V X)) W) (or (tptp.contains_slb U W) (= V W)))) (forall ((U $$unsorted) (V $$unsorted)) (not (tptp.pair_in_list tptp.create_slb U V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.pair_in_list (tptp.insert_slb U (tptp.pair V X)) W Y) (or (tptp.pair_in_list U W Y) (and (= V W) (= X Y))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (= (tptp.remove_slb (tptp.insert_slb U (tptp.pair V W)) V) U)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.pair V X))) (=> (and (not (= V W)) (tptp.contains_slb U W)) (= (tptp.remove_slb (tptp.insert_slb U _let_1) W) (tptp.insert_slb (tptp.remove_slb U W) _let_1))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (= (tptp.lookup_slb (tptp.insert_slb U (tptp.pair V W)) V) W)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (and (not (= V W)) (tptp.contains_slb U W)) (= (tptp.lookup_slb (tptp.insert_slb U (tptp.pair V X)) W) (tptp.lookup_slb U W)))) (forall ((U $$unsorted)) (= (tptp.update_slb tptp.create_slb U) tptp.create_slb)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (tptp.strictly_less_than X W) (= (tptp.update_slb (tptp.insert_slb U (tptp.pair V X)) W) (tptp.insert_slb (tptp.update_slb U W) (tptp.pair V W))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.pair V X))) (=> (tptp.less_than W X) (= (tptp.update_slb (tptp.insert_slb U _let_1) W) (tptp.insert_slb (tptp.update_slb U W) _let_1))))) (forall ((U $$unsorted)) (tptp.succ_cpq U U)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (tptp.succ_cpq U V) (tptp.succ_cpq U (tptp.insert_cpq V W)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (tptp.succ_cpq U V) (tptp.succ_cpq U (tptp.remove_cpq V W)))) (forall ((U $$unsorted) (V $$unsorted)) (=> (tptp.succ_cpq U V) (tptp.succ_cpq U (tptp.findmin_cpq_eff V)))) (forall ((U $$unsorted) (V $$unsorted)) (=> (tptp.succ_cpq U V) (tptp.succ_cpq U (tptp.removemin_cpq_eff V)))) _let_8 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.less_than Y X) (= (tptp.check_cpq (tptp.triple U (tptp.insert_slb V (tptp.pair X Y)) W)) (tptp.check_cpq (tptp.triple U V W))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.strictly_less_than X Y) (= (tptp.check_cpq (tptp.triple U (tptp.insert_slb V (tptp.pair X Y)) W)) false))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (= (tptp.contains_cpq (tptp.triple U V W) X) (tptp.contains_slb V X))) (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.ok (tptp.triple U V tptp.bad)) false)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (not (tptp.ok (tptp.triple U V W))) (= W tptp.bad))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (= (tptp.insert_cpq (tptp.triple U V W) X) (tptp.triple (tptp.insert_pqp U X) (tptp.insert_slb V (tptp.pair X tptp.bottom)) W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (not (tptp.contains_slb V X)) (= (tptp.remove_cpq (tptp.triple U V W) X) (tptp.triple U V tptp.bad)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (and (tptp.contains_slb V X) (tptp.less_than (tptp.lookup_slb V X) X)) (= (tptp.remove_cpq (tptp.triple U V W) X) (tptp.triple (tptp.remove_pqp U X) (tptp.remove_slb V X) W)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (and (tptp.contains_slb V X) (tptp.strictly_less_than X (tptp.lookup_slb V X))) (= (tptp.remove_cpq (tptp.triple U V W) X) (tptp.triple (tptp.remove_pqp U X) (tptp.remove_slb V X) tptp.bad)))) (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.findmin_cpq_eff (tptp.triple U tptp.create_slb V)) (tptp.triple U tptp.create_slb tptp.bad))) _let_7 _let_6 _let_5 (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.findmin_cpq_res (tptp.triple U tptp.create_slb V)) tptp.bottom)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (not (= V tptp.create_slb)) (= (tptp.findmin_cpq_res (tptp.triple U V W)) (tptp.findmin_pqp_res U)))) _let_4 (forall ((U $$unsorted)) (= (tptp.removemin_cpq_res U) (tptp.findmin_cpq_res U))) _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.65  )
% 0.20/0.65  % SZS output end Proof for SWV404+1
% 0.20/0.65  % cvc5---1.0.5 exiting
% 0.20/0.65  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------