TSTP Solution File: ANA003-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ANA003-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 : Wed Aug 30 17:14:25 EDT 2023
% Result : Unsatisfiable 8.04s 8.31s
% Output : Proof 8.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ANA003-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n007.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 : Fri Aug 25 18:35:56 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.d1srcfCFWc/cvc5---1.0.5_5517.p...
% 0.21/0.51 ------- get file name : TPTP file name is ANA003-2
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_5517.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 8.04/8.31 % SZS status Unsatisfiable for ANA003-2
% 8.04/8.31 % SZS output start Proof for ANA003-2
% 8.04/8.32 (
% 8.04/8.32 (let ((_let_1 (forall ((X $$unsorted)) (let ((_let_1 (tptp.fp33 X))) (or (not (tptp.less_than tptp.n0 X)) (not (tptp.less_than (tptp.add (tptp.absolute (tptp.add (tptp.f _let_1) (tptp.minus tptp.l1))) (tptp.absolute (tptp.add (tptp.g _let_1) (tptp.minus tptp.l2)))) tptp.b))))))) (let ((_let_2 (forall ((X $$unsorted)) (or (not (tptp.less_than tptp.n0 X)) (tptp.less_than (tptp.absolute (tptp.add (tptp.fp33 X) (tptp.minus tptp.a))) X))))) (let ((_let_3 (tptp.less_than tptp.n0 tptp.b))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_than tptp.n0 X)) (not (tptp.less_than (tptp.absolute (tptp.add Y (tptp.minus tptp.a))) (tptp.fp32 X))) (tptp.less_than (tptp.absolute (tptp.add (tptp.g Y) (tptp.minus tptp.l2))) X))))) (let ((_let_5 (forall ((X $$unsorted)) (or (not (tptp.less_than tptp.n0 X)) (tptp.less_than tptp.n0 (tptp.fp32 X)))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_than tptp.n0 X)) (not (tptp.less_than (tptp.absolute (tptp.add Y (tptp.minus tptp.a))) (tptp.fp31 X))) (tptp.less_than (tptp.absolute (tptp.add (tptp.f Y) (tptp.minus tptp.l1))) X))))) (let ((_let_7 (forall ((X $$unsorted)) (or (not (tptp.less_than tptp.n0 X)) (tptp.less_than tptp.n0 (tptp.fp31 X)))))) (let ((_let_8 (forall ((Xa $$unsorted)) (or (not (tptp.less_than tptp.n0 Xa)) (tptp.less_than tptp.n0 (tptp.half Xa)))))) (let ((_let_9 (forall ((X $$unsorted) (Xa $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.half Xa))) (or (not (tptp.less_than X _let_1)) (not (tptp.less_than Y _let_1)) (tptp.less_than (tptp.add X Y) Xa)))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_than tptp.n0 X)) (not (tptp.less_than tptp.n0 Y)) (tptp.less_than (tptp.minimum X Y) Y))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_than tptp.n0 X)) (not (tptp.less_than tptp.n0 Y)) (tptp.less_than (tptp.minimum X Y) X))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_than tptp.n0 X)) (not (tptp.less_than tptp.n0 Y)) (tptp.less_than tptp.n0 (tptp.minimum X Y)))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.less_than X Y)) (not (tptp.less_than Y Z)) (tptp.less_than X Z))))) (let ((_let_14 (tptp.minus tptp.l2))) (let ((_let_15 (tptp.half tptp.b))) (let ((_let_16 (tptp.fp31 _let_15))) (let ((_let_17 (tptp.fp32 _let_15))) (let ((_let_18 (tptp.minimum _let_17 _let_16))) (let ((_let_19 (tptp.fp33 _let_18))) (let ((_let_20 (tptp.absolute (tptp.add (tptp.g _let_19) _let_14)))) (let ((_let_21 (tptp.absolute (tptp.add (tptp.f _let_19) (tptp.minus tptp.l1))))) (let ((_let_22 (tptp.less_than (tptp.add _let_21 _let_20) tptp.b))) (let ((_let_23 (tptp.less_than _let_20 _let_15))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.less_than _let_21 _let_15))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_22))) (let ((_let_28 (not _let_22))) (let ((_let_29 (tptp.less_than tptp.n0 _let_18))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28))) (let ((_let_32 (_let_1))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (tptp.less_than tptp.n0 _let_16))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.less_than tptp.n0 _let_17))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_35 _let_29))) (let ((_let_39 (_let_12))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (tptp.less_than tptp.n0 _let_15))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_36))) (let ((_let_44 (_let_5))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (not _let_3))) (let ((_let_47 (or _let_46 _let_41))) (let ((_let_48 (_let_8))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_41 (not _let_47)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.half Xa)))) :args _let_48)) _let_49 :args (_let_47 false _let_8)) :args (_let_41 false _let_3 false _let_47)))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_42 _let_36 (not _let_43)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.fp32 X)))) :args _let_44)) _let_45 :args (_let_43 false _let_5)) :args (_let_36 false _let_41 false _let_43)))) (let ((_let_52 (or _let_42 _let_34))) (let ((_let_53 (_let_7))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_42 _let_34 (not _let_52)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.fp31 X)))) :args _let_53)) _let_54 :args (_let_52 false _let_7)) :args (_let_34 false _let_41 false _let_52)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_35 _let_37 _let_29 (not _let_38)))) _let_55 _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_17 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.minimum X Y)))) :args _let_39)) _let_40 :args (_let_38 false _let_12)) :args (_let_29 false _let_34 false _let_36 false _let_38)))) (let ((_let_57 (_let_9))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (tptp.minus tptp.a))) (let ((_let_60 (tptp.absolute (tptp.add _let_19 _let_59)))) (let ((_let_61 (tptp.less_than _let_60 _let_16))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_42 _let_62 _let_25))) (let ((_let_64 (_let_6))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (tptp.less_than _let_18 _let_16))) (let ((_let_67 (not _let_66))) (let ((_let_68 (tptp.less_than _let_60 _let_18))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_67 _let_61))) (let ((_let_71 (_let_13))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 ((not (= (tptp.less_than X Y) false)) (not (= (tptp.less_than Y Z) false))))) (let ((_let_74 (or _let_30 _let_68))) (let ((_let_75 (_let_2))) (let ((_let_76 (ASSUME :args _let_75))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_30 _let_68 (not _let_74)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_than tptp.n0 X) false))))) :args _let_75)) _let_76 :args (_let_74 false _let_2)) :args (_let_68 false _let_29 false _let_74)))) (let ((_let_78 (or _let_37 _let_35 _let_66))) (let ((_let_79 (_let_10))) (let ((_let_80 (ASSUME :args _let_79))) (let ((_let_81 (tptp.less_than _let_60 _let_17))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_42 _let_82 _let_23))) (let ((_let_84 (_let_4))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (tptp.less_than _let_18 _let_17))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_69 _let_87 _let_81))) (let ((_let_89 (or _let_37 _let_35 _let_86))) (let ((_let_90 (_let_11))) (let ((_let_91 (ASSUME :args _let_90))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_22 _let_26 _let_24 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_42 _let_23 _let_82 (not _let_83)))) _let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_87 _let_69 _let_81 (not _let_88)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_35 _let_37 _let_86 (not _let_89)))) _let_55 _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_17 _let_16 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less_than tptp.n0 X) false)) (not (= (tptp.less_than tptp.n0 Y) false))))) :args _let_90)) _let_91 :args (_let_89 false _let_11)) :args (_let_86 false _let_34 false _let_36 false _let_89)) _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_60 _let_18 _let_17 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71)) _let_72 :args (_let_88 false _let_13)) :args (_let_81 false _let_86 false _let_68 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_15 _let_19 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less_than (tptp.absolute (tptp.add (tptp.g Y) _let_14)) X) true))))) :args _let_84)) _let_85 :args (_let_83 false _let_4)) :args (_let_23 false _let_41 false _let_81 false _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_42 _let_25 _let_62 (not _let_63)))) _let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_67 _let_69 _let_61 (not _let_70)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_35 _let_37 _let_66 (not _let_78)))) _let_55 _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_17 _let_16 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less_than tptp.n0 Y) false)) (not (= (tptp.less_than tptp.n0 X) false))))) :args _let_79)) _let_80 :args (_let_78 false _let_10)) :args (_let_66 false _let_34 false _let_36 false _let_78)) _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_60 _let_18 _let_16 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71)) _let_72 :args (_let_70 false _let_13)) :args (_let_61 false _let_66 false _let_68 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_15 _let_19 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less_than (tptp.absolute (tptp.add Y _let_59)) (tptp.fp31 X)) false))))) :args _let_64)) _let_65 :args (_let_63 false _let_6)) :args (_let_25 false _let_41 false _let_61 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (_let_21 tptp.b _let_20 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less_than (tptp.add X Y) Xa) true))))) :args _let_57)) _let_58 :args (_let_27 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_28 (not _let_31)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_than tptp.n0 X) false))))) :args _let_32)) _let_33 :args (_let_31 false _let_1)) :args (_let_28 false _let_29 false _let_31)) :args (false false _let_23 false _let_25 false _let_27 true _let_22)) :args ((forall ((X $$unsorted)) (tptp.equalish (tptp.add X tptp.n0) X)) (forall ((X $$unsorted)) (tptp.equalish (tptp.add tptp.n0 X) X)) (forall ((X $$unsorted)) (not (tptp.less_than X X))) _let_13 _let_12 _let_11 _let_10 _let_9 (forall ((X $$unsorted) (Y $$unsorted) (Xa $$unsorted)) (or (not (tptp.less_than (tptp.add (tptp.absolute X) (tptp.absolute Y)) Xa)) (tptp.less_than (tptp.absolute (tptp.add X Y)) Xa))) _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 8.04/8.32 )
% 8.13/8.32 % SZS output end Proof for ANA003-2
% 8.13/8.33 % cvc5---1.0.5 exiting
% 8.13/8.33 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------