%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : MGT058+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n011.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
% 0.07/0.12  % Problem    : MGT058+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n011.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   : Mon Aug 28 06:37:10 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.54  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.TyYcjVG00m/cvc5---1.0.5_20270.p...
% 0.21/0.54  ------- get file name : TPTP file name is MGT058+1
% 0.21/0.54  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20270.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 MGT058+1
% 0.21/0.54  % SZS output start Proof for MGT058+1
% 0.21/0.54  (
% 0.21/0.54  (let ((_let_1 (not (forall ((X $$unsorted)) (=> (and (tptp.organization X) (exists ((T0 $$unsorted)) (= (tptp.age X T0) tptp.zero)) (tptp.greater_or_equal tptp.sigma tptp.zero) (tptp.greater_or_equal tptp.tau tptp.zero)) (not (and (tptp.fragile_position X) (tptp.robust_position X)))))))) (let ((_let_2 (forall ((X $$unsorted)) (= (tptp.robust_position X) (forall ((T $$unsorted)) (let ((_let_1 (tptp.positional_advantage X T))) (let ((_let_2 (tptp.age X T))) (and (=> (tptp.smaller_or_equal _let_2 tptp.tau) (not _let_1)) (=> (tptp.greater _let_2 tptp.tau) _let_1))))))))) (let ((_let_3 (forall ((X $$unsorted)) (= (tptp.fragile_position X) (forall ((T $$unsorted)) (let ((_let_1 (tptp.positional_advantage X T))) (let ((_let_2 (tptp.age X T))) (and (=> (tptp.smaller_or_equal _let_2 tptp.sigma) _let_1) (=> (tptp.greater _let_2 tptp.sigma) (not _let_1)))))))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.smaller X Y) (tptp.greater Y X))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greater_or_equal X Y) (or (tptp.greater X Y) (= X Y)))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.smaller_or_equal X Y) (or (tptp.smaller X Y) (= X Y)))))) (let ((_let_7 (tptp.smaller tptp.zero tptp.tau))) (let ((_let_8 (tptp.greater tptp.tau tptp.zero))) (let ((_let_9 (= _let_8 _let_7))) (let ((_let_10 (_let_4))) (let ((_let_11 (ASSUME :args _let_10))) (let ((_let_12 ((tptp.greater Y X)))) (let ((_let_13 (tptp.age SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (tptp.smaller _let_13 tptp.tau))) (let ((_let_15 (= tptp.zero _let_13))) (let ((_let_16 (not _let_7))) (let ((_let_17 (= tptp.tau _let_13))) (let ((_let_18 (or _let_14 _let_17))) (let ((_let_19 (not _let_14))) (let ((_let_20 (tptp.smaller_or_equal _let_13 tptp.tau))) (let ((_let_21 (= _let_20 _let_18))) (let ((_let_22 (not _let_18))) (let ((_let_23 (_let_6))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (tptp.positional_advantage SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_26 (not _let_25))) (let ((_let_27 (not _let_20))) (let ((_let_28 (or _let_27 _let_26))) (let ((_let_29 (forall ((BOUND_VARIABLE_736 $$unsorted)) (or (not (tptp.smaller_or_equal (tptp.age SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_736) tptp.tau)) (not (tptp.positional_advantage SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_736)))))) (let ((_let_30 (and _let_29 (forall ((BOUND_VARIABLE_746 $$unsorted)) (or (not (tptp.greater (tptp.age SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_746) tptp.tau)) (tptp.positional_advantage SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_746)))))) (let ((_let_31 (tptp.robust_position SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_32 (= _let_31 _let_30))) (let ((_let_33 (forall ((X $$unsorted)) (= (tptp.robust_position X) (and (forall ((BOUND_VARIABLE_736 $$unsorted)) (or (not (tptp.smaller_or_equal (tptp.age X BOUND_VARIABLE_736) tptp.tau)) (not (tptp.positional_advantage X BOUND_VARIABLE_736)))) (forall ((BOUND_VARIABLE_746 $$unsorted)) (or (not (tptp.greater (tptp.age X BOUND_VARIABLE_746) tptp.tau)) (tptp.positional_advantage X BOUND_VARIABLE_746)))))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (not _let_31))) (let ((_let_36 (tptp.fragile_position SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_37 (not _let_36))) (let ((_let_38 (not _let_15))) (let ((_let_39 (or (not (tptp.organization SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_38 _let_37 _let_35))) (let ((_let_40 (forall ((X $$unsorted) (BOUND_VARIABLE_780 $$unsorted)) (or (not (tptp.organization X)) (not (= tptp.zero (tptp.age X BOUND_VARIABLE_780))) (not (tptp.fragile_position X)) (not (tptp.robust_position X)))))) (let ((_let_41 (not _let_39))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (or))) (let ((_let_44 (not _let_40))) (let ((_let_45 (_let_44))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_45)) :args _let_45)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_40))) (REFL :args (_let_41)) :args _let_43)) (NOT_OR_ELIM _let_42 :args (2)) :args (_let_41 true _let_40)))) (let ((_let_47 (REFL :args (_let_39)))) (let ((_let_48 (_let_29))) (let ((_let_49 (tptp.smaller_or_equal _let_13 tptp.sigma))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_25))) (let ((_let_52 (forall ((BOUND_VARIABLE_707 $$unsorted)) (or (not (tptp.smaller_or_equal (tptp.age SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_707) tptp.sigma)) (tptp.positional_advantage SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_707))))) (let ((_let_53 (and _let_52 (forall ((BOUND_VARIABLE_716 $$unsorted)) (or (not (tptp.greater (tptp.age SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_716) tptp.sigma)) (not (tptp.positional_advantage SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_716))))))) (let ((_let_54 (= _let_36 _let_53))) (let ((_let_55 (forall ((X $$unsorted)) (= (tptp.fragile_position X) (and (forall ((BOUND_VARIABLE_707 $$unsorted)) (or (not (tptp.smaller_or_equal (tptp.age X BOUND_VARIABLE_707) tptp.sigma)) (tptp.positional_advantage X BOUND_VARIABLE_707))) (forall ((BOUND_VARIABLE_716 $$unsorted)) (or (not (tptp.greater (tptp.age X BOUND_VARIABLE_716) tptp.sigma)) (not (tptp.positional_advantage X BOUND_VARIABLE_716))))))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (_let_52))) (let ((_let_58 (tptp.smaller_or_equal tptp.zero tptp.sigma))) (let ((_let_59 (= tptp.sigma tptp.zero))) (let ((_let_60 (tptp.smaller tptp.zero tptp.sigma))) (let ((_let_61 (or _let_60 _let_59))) (let ((_let_62 (= _let_58 _let_61))) (let ((_let_63 (tptp.greater tptp.sigma tptp.zero))) (let ((_let_64 (= _let_63 _let_60))) (let ((_let_65 (or _let_63 _let_59))) (let ((_let_66 (tptp.greater_or_equal tptp.sigma tptp.zero))) (let ((_let_67 (= _let_66 _let_65))) (let ((_let_68 (_let_5))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 ((tptp.greater_or_equal X Y)))) (let ((_let_71 (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_15))) :args _let_43)) :args ((or _let_15 _let_39))) _let_46 :args (_let_15 true _let_39)))) (let ((_let_72 (and _let_15 _let_58))) (let ((_let_73 (ASSUME :args (_let_58)))) (let ((_let_74 (ASSUME :args (_let_15)))) (let ((_let_75 (SYMM _let_74))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_21)) :args ((or _let_20 _let_22 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_27 _let_26 (not _let_28)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_50 _let_25 (not _let_51)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_72)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_73 _let_74) (SCOPE (TRUE_ELIM (TRANS (CONG _let_75 (REFL :args (tptp.sigma)) :args (APPLY_UF tptp.smaller_or_equal)) (TRUE_INTRO _let_73))) :args (_let_58 _let_15))) :args (_let_15 _let_58))) :args (true _let_72)) :args ((or _let_38 _let_49 (not _let_58)))) _let_71 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_62)) :args ((or _let_58 (not _let_61) (not _let_62)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_63 _let_59 (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_67)) :args ((or (not _let_66) _let_65 (not _let_67)))) (NOT_NOT_ELIM (NOT_OR_ELIM _let_42 :args (0))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.sigma tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_67 false _let_5)) :args (_let_65 false _let_66 false _let_67)) (REORDERING (CNF_EQUIV_POS1 :args (_let_64)) :args ((or (not _let_63) _let_60 (not _let_64)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_11 :args (tptp.zero tptp.sigma QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_12)) :args _let_10))) _let_11 :args (_let_64 false _let_4)) (REORDERING (CNF_OR_NEG :args (_let_61 1)) :args ((or (not _let_59) _let_61))) (REORDERING (CNF_OR_NEG :args (_let_61 0)) :args ((or (not _let_60) _let_61))) :args (_let_61 false _let_65 true _let_63 false _let_64 true _let_59 true _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.zero tptp.sigma QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.smaller X Y)))) :args _let_23))) _let_24 :args (_let_62 false _let_6)) :args (_let_58 false _let_61 false _let_62)) :args (_let_49 false _let_15 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_57) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.age SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_707)))) :args _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_53 0)) :args ((or _let_52 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_54)) :args ((or _let_37 _let_53 (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 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.fragile_position X)))) :args (_let_55))) _let_56 :args (_let_54 false _let_55)) :args (_let_53 false _let_36 false _let_54)) :args (_let_52 false _let_53)) :args (_let_51 false _let_52)) :args (_let_25 false _let_49 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_48) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.age SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_736)))) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_30 0)) :args ((or _let_29 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_32)) :args ((or _let_35 _let_30 (not _let_32)))) (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_31))) :args _let_43)) :args ((or _let_31 _let_39))) _let_46 :args (_let_31 true _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.robust_position X)))) :args (_let_33))) _let_34 :args (_let_32 false _let_33)) :args (_let_30 false _let_31 false _let_32)) :args (_let_29 false _let_30)) :args (_let_28 false _let_29)) :args (_let_27 false _let_25 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_13 tptp.tau QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.smaller_or_equal X Y)))) :args _let_23))) _let_24 :args (_let_21 false _let_6)) :args (_let_22 true _let_20 false _let_21)))) (let ((_let_77 (REFL :args (_let_38)))) (let ((_let_78 (and _let_15 _let_19))) (let ((_let_79 (ASSUME :args (_let_19)))) (let ((_let_80 (REFL :args (tptp.tau)))) (let ((_let_81 (SYMM _let_75))) (let ((_let_82 (= tptp.tau tptp.zero))) (let ((_let_83 (or _let_8 _let_82))) (let ((_let_84 (tptp.greater_or_equal tptp.tau tptp.zero))) (let ((_let_85 (= _let_84 _let_83))) (let ((_let_86 (not _let_82))) (let ((_let_87 (not _let_17))) (let ((_let_88 (and _let_15 _let_87))) (let ((_let_89 (ASSUME :args (_let_87)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_9)) :args ((or (not _let_8) _let_7 (not _let_9)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_8 _let_82 (not _let_83)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_88)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_89 _let_74) (SCOPE (FALSE_ELIM (TRANS (CONG _let_80 _let_81 :args (=)) (FALSE_INTRO _let_89))) :args (_let_87 _let_15))) :args (_let_15 _let_87))) :args (true _let_88)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_87) _let_17))) (REFL :args (_let_86)) :args _let_43)) :args ((or _let_38 _let_86 _let_17))) _let_71 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 1)) _let_76 :args (_let_87 true _let_18)) :args (_let_86 false _let_15 true _let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_85)) :args ((or (not _let_84) _let_83 (not _let_85)))) (NOT_NOT_ELIM (NOT_OR_ELIM _let_42 :args (1))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.tau tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_68)) _let_69 :args (_let_85 false _let_5)) :args (_let_83 false _let_84 false _let_85)) :args (_let_8 true _let_82 false _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_78)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_79 _let_74) (SCOPE (FALSE_ELIM (TRANS (CONG _let_81 _let_80 :args (APPLY_UF tptp.smaller)) (FALSE_INTRO _let_79))) :args (_let_19 _let_15))) :args (_let_15 _let_19))) :args (true _let_78)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_14))) (REFL :args (_let_16)) :args _let_43)) :args ((or _let_38 _let_16 _let_14))) _let_71 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 0)) _let_76 :args (_let_19 true _let_18)) :args (_let_16 false _let_15 true _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_11 :args (tptp.zero tptp.tau QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_12)) :args _let_10))) _let_11 :args (_let_9 false _let_4)) :args (false false _let_8 true _let_7 false _let_9)) :args (_let_6 _let_5 _let_4 (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_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54  )
% 0.21/0.54  % SZS output end Proof for MGT058+1
% 0.21/0.54  % cvc5---1.0.5 exiting
% 0.21/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------