TSTP Solution File: SWV374+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV374+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 21:50:53 EDT 2023
% Result : Theorem 0.21s 0.56s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV374+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 08:17:21 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.56 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.apgE7X7v5k/cvc5---1.0.5_24114.p...
% 0.21/0.56 ------- get file name : TPTP file name is SWV374+1
% 0.21/0.56 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_24114.smt2...
% 0.21/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.56 % SZS status Theorem for SWV374+1
% 0.21/0.56 % SZS output start Proof for SWV374+1
% 0.21/0.56 (
% 0.21/0.56 (let ((_let_1 (not (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res U))) (=> (tptp.ok (tptp.findmin_cpq_eff (tptp.triple U V W))) (and (not (= V tptp.create_slb)) (tptp.contains_slb V _let_1) (tptp.less_than (tptp.lookup_slb V _let_1) _let_1)))))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res U))) (=> (and (not (= V tptp.create_slb)) (tptp.contains_slb V _let_1) (tptp.strictly_less_than _let_1 (tptp.lookup_slb V _let_1))) (= (tptp.findmin_cpq_eff (tptp.triple U V W)) (tptp.triple U (tptp.update_slb V _let_1) tptp.bad))))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res U))) (=> (and (not (= V tptp.create_slb)) (not (tptp.contains_slb V _let_1))) (= (tptp.findmin_cpq_eff (tptp.triple U V W)) (tptp.triple U (tptp.update_slb V _let_1) tptp.bad))))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.findmin_cpq_eff (tptp.triple U tptp.create_slb V)) (tptp.triple U tptp.create_slb tptp.bad))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.ok (tptp.triple U V tptp.bad)) false)))) (let ((_let_6 (forall ((U $$unsorted)) (= (tptp.update_slb tptp.create_slb U) tptp.create_slb)))) (let ((_let_7 (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_8 (forall ((U $$unsorted) (V $$unsorted)) (or (tptp.less_than U V) (tptp.less_than V U))))) (let ((_let_9 (tptp.findmin_pqp_res SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (tptp.update_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_9))) (let ((_let_11 (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_10 tptp.bad))) (let ((_let_12 (tptp.ok _let_11))) (let ((_let_13 (tptp.findmin_cpq_eff (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_14 (tptp.ok _let_13))) (let ((_let_15 (= _let_13 _let_11))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (not (tptp.ok (tptp.triple U V tptp.bad)))))) (let ((_let_17 (not _let_12))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (_let_16))) (let ((_let_20 ((tptp.triple U V tptp.bad)))) (let ((_let_21 (tptp.lookup_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_9))) (let ((_let_22 (tptp.less_than _let_21 _let_9))) (let ((_let_23 (not _let_14))) (let ((_let_24 (or _let_23 _let_22))) (let ((_let_25 (forall ((BOUND_VARIABLE_1236 $$unsorted) (BOUND_VARIABLE_1238 $$unsorted) (BOUND_VARIABLE_1240 $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res BOUND_VARIABLE_1236))) (or (not (tptp.ok (tptp.findmin_cpq_eff (tptp.triple BOUND_VARIABLE_1236 BOUND_VARIABLE_1238 BOUND_VARIABLE_1240)))) (tptp.less_than (tptp.lookup_slb BOUND_VARIABLE_1238 _let_1) _let_1)))))) (let ((_let_26 (not _let_24))) (let ((_let_27 (forall ((BOUND_VARIABLE_1221 $$unsorted) (BOUND_VARIABLE_1223 $$unsorted) (BOUND_VARIABLE_1225 $$unsorted)) (or (not (tptp.ok (tptp.findmin_cpq_eff (tptp.triple BOUND_VARIABLE_1221 BOUND_VARIABLE_1223 BOUND_VARIABLE_1225)))) (tptp.contains_slb BOUND_VARIABLE_1223 (tptp.findmin_pqp_res BOUND_VARIABLE_1221)))))) (let ((_let_28 (forall ((BOUND_VARIABLE_1206 $$unsorted) (BOUND_VARIABLE_1210 $$unsorted)) (not (tptp.ok (tptp.findmin_cpq_eff (tptp.triple BOUND_VARIABLE_1206 tptp.create_slb BOUND_VARIABLE_1210))))))) (let ((_let_29 (not _let_25))) (let ((_let_30 (tptp.findmin_pqp_res SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_31 (tptp.contains_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_30))) (let ((_let_32 (tptp.findmin_cpq_eff (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))) (let ((_let_33 (tptp.ok _let_32))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_31))) (let ((_let_36 (= tptp.create_slb (tptp.update_slb tptp.create_slb _let_30)))) (let ((_let_37 (tptp.update_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_30))) (let ((_let_38 (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_37 tptp.bad))) (let ((_let_39 (tptp.ok _let_38))) (let ((_let_40 (= (tptp.findmin_cpq_eff (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.create_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)) (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.create_slb tptp.bad)))) (let ((_let_41 (= tptp.create_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_42 (= _let_32 _let_38))) (let ((_let_43 (or _let_41 _let_31 _let_42))) (let ((_let_44 (or))) (let ((_let_45 (forall ((U $$unsorted)) (= tptp.create_slb (tptp.update_slb tptp.create_slb U))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (_let_45))) (let ((_let_48 ((not (= (tptp.update_slb tptp.create_slb U) tptp.create_slb))))) (let ((_let_49 (not _let_39))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_20)) :args _let_19)) _let_18 :args (_let_49 false _let_16)))) (let ((_let_51 (_let_4))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 ((tptp.triple U tptp.create_slb V)))) (let ((_let_54 (not _let_40))) (let ((_let_55 (not _let_36))) (let ((_let_56 (not _let_41))) (let ((_let_57 (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_39))))) (let ((_let_58 (REFL :args (_let_34)))) (let ((_let_59 (ASSUME :args (_let_33)))) (let ((_let_60 (TRUE_INTRO _let_59))) (let ((_let_61 (APPLY_UF tptp.ok))) (let ((_let_62 (APPLY_UF tptp.findmin_cpq_eff))) (let ((_let_63 (APPLY_UF tptp.triple))) (let ((_let_64 (ASSUME :args (_let_41)))) (let ((_let_65 (SYMM _let_64))) (let ((_let_66 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_67 (ASSUME :args (_let_40)))) (let ((_let_68 (REFL :args (tptp.bad)))) (let ((_let_69 (ASSUME :args (_let_36)))) (let ((_let_70 (APPLY_UF tptp.update_slb))) (let ((_let_71 (ASSUME :args (_let_49)))) (let ((_let_72 (SYMM (FALSE_INTRO _let_71)))) (let ((_let_73 (forall ((V $$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_74 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (_let_73))) (let ((_let_76 ((tptp.triple U V W)))) (let ((_let_77 (not _let_27))) (let ((_let_78 (_let_77))) (let ((_let_79 (tptp.findmin_cpq_eff (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.create_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_80 (tptp.ok _let_79))) (let ((_let_81 (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.create_slb tptp.bad))) (let ((_let_82 (tptp.ok _let_81))) (let ((_let_83 (= _let_79 _let_81))) (let ((_let_84 (not _let_80))) (let ((_let_85 (not _let_82))) (let ((_let_86 (not _let_83))) (let ((_let_87 (and _let_83 _let_85))) (let ((_let_88 (ASSUME :args (_let_85)))) (let ((_let_89 (ASSUME :args (_let_83)))) (let ((_let_90 (not _let_28))) (let ((_let_91 (_let_90))) (let ((_let_92 (_let_29))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_92)) :args _let_92)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_25))) (REFL :args (_let_26)) :args _let_44)) (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_91)) :args _let_91) (REWRITE :args ((=> _let_90 (not _let_84)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_90) _let_28))) (REFL :args (_let_80)) :args _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_87)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_88 _let_89) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM (SYMM _let_89)) :args _let_61) (FALSE_INTRO _let_88))) :args (_let_85 _let_83))) :args (_let_83 _let_85))) :args (true _let_87)) (CONG (REFL :args (_let_86)) (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_82))) (REFL :args (_let_84)) :args _let_44)) :args ((or _let_84 _let_86 _let_82))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_51)) _let_52 :args (_let_83 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.create_slb QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_20)) :args _let_19)) _let_18 :args (_let_85 false _let_16)) :args (_let_84 false _let_83 true _let_82)) :args (_let_28 true _let_80)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_78)) :args _let_78)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_27))) (REFL :args ((not _let_35))) :args _let_44)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_72 (CONG (SYMM (ASSUME :args (_let_42))) :args _let_61) _let_60)) :args (_let_33 _let_42 _let_49))) (CONG _let_58 (REFL :args ((not _let_42))) _let_57 :args _let_44)) _let_50 (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_31 _let_41 _let_42 (not _let_43)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_75)) _let_74 :args (_let_43 false _let_73)) (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_59 _let_64 _let_67 _let_69 _let_71) :args (_let_33 _let_41 _let_36 _let_49 _let_40)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_72 (CONG (TRANS (CONG _let_66 (TRANS (CONG _let_65 (REFL :args (_let_30)) :args _let_70) (SYMM _let_69)) _let_68 :args _let_63) (SYMM _let_67) (CONG (CONG _let_66 (SYMM _let_65) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)) :args _let_63) :args _let_62)) :args _let_61) _let_60)) :args (_let_33 _let_41 _let_40 _let_36 _let_49)) :args ((not (and _let_33 _let_41 _let_36 _let_49 _let_40)) SB_LITERAL))) (CONG _let_58 (REFL :args (_let_56)) (REFL :args (_let_55)) _let_57 (REFL :args (_let_54)) :args _let_44)) :args ((or _let_34 _let_56 _let_39 _let_55 _let_54))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_51)) _let_52 :args (_let_40 false _let_4)) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_47)) _let_46 :args (_let_36 false _let_45)) (CNF_OR_NEG :args (_let_35 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 0)) (CONG (REFL :args (_let_35)) (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_44)) :args ((or _let_33 _let_35))) :args (_let_35 true _let_39 false _let_42 false _let_43 true _let_41 false _let_40 true _let_39 false _let_36 true _let_31 false _let_33)) :args (_let_27 false _let_35)) :args (_let_29 false _let_28 false _let_27)) :args (_let_26 true _let_25)))) (let ((_let_94 (= tptp.create_slb (tptp.update_slb tptp.create_slb _let_9)))) (let ((_let_95 (= (tptp.findmin_cpq_eff (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.create_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (tptp.triple SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.create_slb tptp.bad)))) (let ((_let_96 (= tptp.create_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_97 (tptp.contains_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_9))) (let ((_let_98 (or _let_96 _let_97 _let_15))) (let ((_let_99 (tptp.strictly_less_than _let_9 _let_21))) (let ((_let_100 (not _let_99))) (let ((_let_101 (not _let_97))) (let ((_let_102 (or _let_96 _let_101 _let_100 _let_15))) (let ((_let_103 (and _let_96 _let_94 _let_95))) (let ((_let_104 (_let_96 _let_94 _let_95))) (let ((_let_105 (ASSUME :args (_let_96)))) (let ((_let_106 (SYMM _let_105))) (let ((_let_107 (ASSUME :args (_let_94)))) (let ((_let_108 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_109 (ASSUME :args (_let_95)))) (let ((_let_110 (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_111 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (not _let_22))) (let ((_let_113 (tptp.less_than _let_9 _let_21))) (let ((_let_114 (and _let_113 _let_112))) (let ((_let_115 (= _let_99 _let_114))) (let ((_let_116 (_let_7))) (let ((_let_117 (ASSUME :args _let_116))) (let ((_let_118 (or _let_22 _let_113))) (let ((_let_119 (_let_8))) (let ((_let_120 (ASSUME :args _let_119))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_24 1)) _let_93 :args (_let_112 true _let_24)))) (let ((_let_122 (not _let_113))) (let ((_let_123 (_let_114))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_17)))) (CONG (SYMM (ASSUME :args (_let_15))) :args _let_61) (TRUE_INTRO (ASSUME :args (_let_14))))) :args (_let_14 _let_15 _let_17))) (CONG (REFL :args (_let_23)) (REFL :args ((not _let_15))) (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_12))) :args _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_96 _let_15 _let_101 _let_100 (not _let_102)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_115)) :args ((or _let_99 (not _let_114) (not _let_115)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_123) (CONG (REFL :args _let_123) (REFL :args (_let_122)) (MACRO_SR_PRED_INTRO :args ((= (not _let_112) _let_22))) :args _let_44)) :args ((or _let_22 _let_122 _let_114))) _let_121 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_22 _let_113 (not _let_118)))) _let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_21 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_than U V) true))))) :args _let_119)) _let_120 :args (_let_118 false _let_8)) :args (_let_113 true _let_22 false _let_118)) :args (_let_114 true _let_22 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_9 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.less_than V U)))) :args _let_116)) _let_117 :args (_let_115 false _let_7)) :args (_let_99 false _let_114 false _let_115)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.triple U V W)))) :args (_let_110))) _let_111 :args (_let_102 false _let_110)) (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_96 _let_97 _let_15 (not _let_98)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_75)) _let_74 :args (_let_98 false _let_73)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_103)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_105 _let_107 _let_109) (SCOPE (TRANS (CONG (CONG _let_108 _let_106 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) :args _let_63) :args _let_62) (SYMM (SYMM _let_109)) (CONG _let_108 (TRANS (SYMM (SYMM _let_107)) (CONG (SYMM _let_106) (REFL :args (_let_9)) :args _let_70)) _let_68 :args _let_63)) :args _let_104)) :args _let_104)) :args (true _let_103)) :args ((or _let_15 (not _let_96) (not _let_94) (not _let_95)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_51)) _let_52 :args (_let_95 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_47)) _let_46 :args (_let_94 false _let_45)) :args (_let_15 false _let_99 false _let_102 false _let_97 false _let_98 true _let_96 false _let_95 false _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 0)) (CONG (REFL :args (_let_24)) (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_14))) :args _let_44)) :args ((or _let_14 _let_24))) _let_93 :args (_let_14 true _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_20)) :args _let_19)) _let_18 :args (_let_17 false _let_16)) :args (false false _let_15 false _let_14 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_8 (forall ((U $$unsorted)) (tptp.less_than U U)) _let_7 (forall ((U $$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 $$unsorted)) (=> (and (not (= V W)) (tptp.contains_slb U W)) (= (tptp.lookup_slb (tptp.insert_slb U (tptp.pair V X)) W) (tptp.lookup_slb U W)))) _let_6 (forall ((U $$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)))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.check_cpq (tptp.triple U tptp.create_slb V))) (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))) _let_5 (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 $$unsorted)) (=> (and (tptp.contains_slb V X) (tptp.strictly_less_than X (tptp.lookup_slb V X))) (= (tptp.remove_cpq (tptp.triple U V W) X) (tptp.triple (tptp.remove_pqp U X) (tptp.remove_slb V X) tptp.bad)))) _let_4 _let_3 _let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.findmin_pqp_res U))) (=> (and (not (= V tptp.create_slb)) (tptp.contains_slb V _let_1) (tptp.less_than (tptp.lookup_slb V _let_1) _let_1)) (= (tptp.findmin_cpq_eff (tptp.triple U V W)) (tptp.triple U (tptp.update_slb V _let_1) W))))) (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.findmin_cpq_res (tptp.triple U tptp.create_slb V)) tptp.bottom)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (not (= V tptp.create_slb)) (= (tptp.findmin_cpq_res (tptp.triple U V W)) (tptp.findmin_pqp_res U)))) (forall ((U $$unsorted)) (= (tptp.removemin_cpq_eff U) (tptp.remove_cpq (tptp.findmin_cpq_eff U) (tptp.findmin_cpq_res U)))) (forall ((U $$unsorted)) (= (tptp.removemin_cpq_res U) (tptp.findmin_cpq_res U))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.57 )
% 0.21/0.57 % SZS output end Proof for SWV374+1
% 0.21/0.57 % cvc5---1.0.5 exiting
% 0.21/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------