TSTP Solution File: MGT057+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : MGT057+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 09:09:18 EDT 2023
% Result : Theorem 0.21s 0.54s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT057+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n022.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 06:34:24 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.42AlK1YZg5/cvc5---1.0.5_22321.p...
% 0.21/0.54 ------- get file name : TPTP file name is MGT057+1
% 0.21/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22321.smt2...
% 0.21/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.54 % SZS status Theorem for MGT057+1
% 0.21/0.54 % SZS output start Proof for MGT057+1
% 0.21/0.54 (
% 0.21/0.54 (let ((_let_1 (not (forall ((X $$unsorted) (T0 $$unsorted) (T1 $$unsorted) (T2 $$unsorted)) (let ((_let_1 (tptp.hazard_of_mortality X T1))) (=> (and (tptp.organization X) (tptp.has_endowment X) (= (tptp.age X T0) tptp.zero) (tptp.smaller_or_equal (tptp.age X T1) tptp.eta) (tptp.greater (tptp.age X T2) tptp.eta) (tptp.greater tptp.eta tptp.zero)) (and (tptp.greater (tptp.hazard_of_mortality X T2) _let_1) (= _let_1 (tptp.hazard_of_mortality X T0))))))))) (let ((_let_2 (forall ((X $$unsorted) (T0 $$unsorted) (T $$unsorted)) (=> (and (tptp.organization X) (tptp.has_immunity X T0) (not (tptp.has_immunity X T))) (tptp.greater (tptp.hazard_of_mortality X T) (tptp.hazard_of_mortality X T0)))))) (let ((_let_3 (forall ((X $$unsorted) (T0 $$unsorted) (T $$unsorted)) (=> (and (tptp.organization X) (tptp.has_immunity X T0) (tptp.has_immunity X T)) (= (tptp.hazard_of_mortality X T0) (tptp.hazard_of_mortality X T)))))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.has_endowment X) (forall ((T $$unsorted)) (let ((_let_1 (tptp.has_immunity X T))) (let ((_let_2 (tptp.age X T))) (and (tptp.organization X) (=> (tptp.smaller_or_equal _let_2 tptp.eta) _let_1) (=> (tptp.greater _let_2 tptp.eta) (not _let_1)))))))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.smaller X Y) (tptp.greater Y X))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.smaller_or_equal X Y) (or (tptp.smaller X Y) (= X Y)))))) (let ((_let_7 (forall ((X $$unsorted) (T0 $$unsorted) (T $$unsorted)) (or (not (tptp.organization X)) (not (tptp.has_immunity X T0)) (not (tptp.has_immunity X T)) (= (tptp.hazard_of_mortality X T0) (tptp.hazard_of_mortality X T)))))) (let ((_let_8 (tptp.hazard_of_mortality SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_9 (= _let_8 (tptp.hazard_of_mortality SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_10 (tptp.has_immunity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.has_immunity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.organization SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_13 _let_11 _let_9))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (not _let_16))) (let ((_let_19 (tptp.age SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_20 (tptp.smaller_or_equal _let_19 tptp.eta))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_10))) (let ((_let_23 (forall ((BOUND_VARIABLE_724 $$unsorted)) (or (not (tptp.smaller_or_equal (tptp.age SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_724) tptp.eta)) (tptp.has_immunity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_724))))) (let ((_let_24 (forall ((BOUND_VARIABLE_733 $$unsorted)) (or (not (tptp.greater (tptp.age SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_733) tptp.eta)) (not (tptp.has_immunity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_733)))))) (let ((_let_25 (and _let_14 _let_23 _let_24))) (let ((_let_26 (tptp.has_endowment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_27 (= _let_26 _let_25))) (let ((_let_28 (forall ((X $$unsorted)) (= (tptp.has_endowment X) (and (tptp.organization X) (forall ((BOUND_VARIABLE_724 $$unsorted)) (or (not (tptp.smaller_or_equal (tptp.age X BOUND_VARIABLE_724) tptp.eta)) (tptp.has_immunity X BOUND_VARIABLE_724))) (forall ((BOUND_VARIABLE_733 $$unsorted)) (or (not (tptp.greater (tptp.age X BOUND_VARIABLE_733) tptp.eta)) (not (tptp.has_immunity X BOUND_VARIABLE_733))))))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (tptp.greater (tptp.hazard_of_mortality SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_8))) (let ((_let_31 (and _let_30 _let_9))) (let ((_let_32 (tptp.greater (tptp.age SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) tptp.eta))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.smaller_or_equal (tptp.age SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) tptp.eta))) (let ((_let_35 (not _let_34))) (let ((_let_36 (= tptp.zero _let_19))) (let ((_let_37 (not _let_36))) (let ((_let_38 (not _let_26))) (let ((_let_39 (or _let_15 _let_38 _let_37 _let_35 _let_33 _let_31))) (let ((_let_40 (forall ((X $$unsorted) (T0 $$unsorted) (T1 $$unsorted) (T2 $$unsorted)) (let ((_let_1 (tptp.hazard_of_mortality X T1))) (or (not (tptp.organization X)) (not (tptp.has_endowment X)) (not (= tptp.zero (tptp.age X T0))) (not (tptp.smaller_or_equal (tptp.age X T1) tptp.eta)) (not (tptp.greater (tptp.age X T2) tptp.eta)) (and (tptp.greater (tptp.hazard_of_mortality X T2) _let_1) (= _let_1 (tptp.hazard_of_mortality X T0)))))))) (let ((_let_41 (not _let_39))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (or))) (let ((_let_44 (not _let_40))) (let ((_let_45 (_let_44))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_45)) :args _let_45)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_40))) (REFL :args (_let_41)) :args _let_43)) (NOT_OR_ELIM _let_42 :args (1)) :args (_let_41 true _let_40)))) (let ((_let_47 (REFL :args (_let_39)))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_27)) :args ((or _let_38 _let_25 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 1)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_26))) :args _let_43)) :args ((or _let_26 _let_39))) _let_46 :args (_let_26 true _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.has_endowment X)))) :args (_let_28))) _let_29 :args (_let_27 false _let_28)) :args (_let_25 false _let_26 false _let_27)))) (let ((_let_49 (not _let_25))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_25 1)) :args ((or _let_23 _let_49))) _let_48 :args (_let_23 false _let_25)))) (let ((_let_51 (_let_23))) (let ((_let_52 ((tptp.age SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_724)))) (let ((_let_53 (ASSUME :args _let_51))) (let ((_let_54 (tptp.smaller_or_equal tptp.zero tptp.eta))) (let ((_let_55 (tptp.smaller tptp.zero tptp.eta))) (let ((_let_56 (or _let_55 (= tptp.eta tptp.zero)))) (let ((_let_57 (= _let_54 _let_56))) (let ((_let_58 (_let_6))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (tptp.greater tptp.eta tptp.zero))) (let ((_let_61 (= _let_60 _let_55))) (let ((_let_62 (_let_5))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (and _let_36 _let_54))) (let ((_let_65 (ASSUME :args (_let_54)))) (let ((_let_66 (ASSUME :args (_let_36)))) (let ((_let_67 (or _let_35 _let_12))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_35 _let_12 (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 3)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_43)) :args ((or _let_34 _let_39))) _let_46 :args (_let_34 true _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_67 false _let_23)) :args (_let_12 false _let_34 false _let_67)))) (let ((_let_69 (tptp.has_immunity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_70 (or _let_15 _let_13 _let_69 _let_30))) (let ((_let_71 (forall ((X $$unsorted) (T0 $$unsorted) (T $$unsorted)) (or (not (tptp.organization X)) (not (tptp.has_immunity X T0)) (tptp.has_immunity X T) (tptp.greater (tptp.hazard_of_mortality X T) (tptp.hazard_of_mortality X T0)))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (not _let_69))) (let ((_let_74 (or _let_33 _let_73))) (let ((_let_75 (_let_24))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 0)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_43)) :args ((or _let_14 _let_39))) _let_46 :args (_let_14 true _let_39)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.hazard_of_mortality X T0) (not (= (tptp.has_immunity X T) false))))) :args (_let_7))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_15 _let_9 _let_13 _let_11 _let_18))) _let_76 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_31)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_39 5)) _let_46 :args ((not _let_31) true _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_15 _let_30 _let_13 _let_69 (not _let_70)))) _let_76 _let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_33 _let_73 (not _let_74)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 4)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_43)) :args ((or _let_32 _let_39))) _let_46 :args (_let_32 true _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_75) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.age SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_733)))) :args _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_25 2)) :args ((or _let_24 _let_49))) _let_48 :args (_let_24 false _let_25)) :args (_let_74 false _let_24)) :args (_let_73 false _let_32 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.greater (tptp.hazard_of_mortality X T) (tptp.hazard_of_mortality X T0)) true))))) :args (_let_71))) _let_72 :args (_let_70 false _let_71)) :args (_let_30 false _let_14 false _let_12 true _let_69 false _let_70)) :args ((not _let_9) true _let_31 false _let_30)) _let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_10 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_64)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_65 _let_66) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_66) (REFL :args (tptp.eta)) :args (APPLY_UF tptp.smaller_or_equal)) (TRUE_INTRO _let_65))) :args (_let_54 _let_36))) :args (_let_36 _let_54))) :args (true _let_64)) :args ((or _let_37 _let_20 (not _let_54)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 2)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) :args _let_43)) :args ((or _let_36 _let_39))) _let_46 :args (_let_36 true _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_57)) :args ((or _let_54 (not _let_56) (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_56 0)) :args ((or (not _let_55) _let_56))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_61)) :args ((or (not _let_60) _let_55 (not _let_61)))) (NOT_NOT_ELIM (NOT_OR_ELIM _let_42 :args (0))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.zero tptp.eta QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greater Y X)))) :args _let_62))) _let_63 :args (_let_61 false _let_5)) :args (_let_55 false _let_60 false _let_61)) :args (_let_56 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.zero tptp.eta QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.smaller X Y)))) :args _let_58))) _let_59 :args (_let_57 false _let_6)) :args (_let_54 false _let_56 false _let_57)) :args (_let_20 false _let_36 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_22 false _let_23)) :args (_let_10 false _let_20 false _let_22)) :args (_let_18 false _let_14 true _let_9 false _let_12 false _let_10)) _let_17 :args (false true _let_16 false _let_7)) :args (_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greater_or_equal X Y) (or (tptp.greater X Y) (= X Y)))) _let_5 (forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.greater X Y) (tptp.greater Y X)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.greater X Y) (tptp.greater Y Z)) (tptp.greater X Z))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.smaller X Y) (= X Y) (tptp.greater X Y))) _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54 )
% 0.21/0.54 % SZS output end Proof for MGT057+1
% 0.21/0.54 % cvc5---1.0.5 exiting
% 0.21/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------