%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : MGT024+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n016.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 09:09:01 EDT 2023

% Result   : Theorem 0.18s 0.50s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : MGT024+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.15/0.34  % Computer : n016.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Mon Aug 28 06:40:29 EDT 2023
% 0.15/0.34  % CPUTime    : 
% 0.18/0.46  %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.6BVbugpid5/cvc5---1.0.5_28044.p...
% 0.18/0.50  ------- get file name : TPTP file name is MGT024+1
% 0.18/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_28044.smt2...
% 0.18/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.50  % SZS status Theorem for MGT024+1
% 0.18/0.50  % SZS output start Proof for MGT024+1
% 0.18/0.50  (
% 0.18/0.50  (let ((_let_1 (not (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.growth_rate tptp.first_movers T))) (let ((_let_2 (tptp.growth_rate tptp.efficient_producers T))) (=> (and (tptp.environment E) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) (tptp.greater_or_equal T (tptp.equilibrium E))) (or (and (= _let_1 tptp.zero) (= _let_2 tptp.zero)) (and (tptp.greater _let_1 tptp.zero) (tptp.greater tptp.zero _let_2)) (and (tptp.greater _let_2 tptp.zero) (tptp.greater tptp.zero _let_1)))))))))) (let ((_let_2 (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.growth_rate tptp.first_movers T))) (let ((_let_2 (tptp.growth_rate tptp.efficient_producers T))) (=> (and (tptp.environment E) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) (tptp.constant (tptp.number_of_organizations E T))) (or (and (= _let_1 tptp.zero) (= _let_2 tptp.zero)) (and (tptp.greater _let_1 tptp.zero) (tptp.greater tptp.zero _let_2)) (and (tptp.greater _let_2 tptp.zero) (tptp.greater tptp.zero _let_1))))))))) (let ((_let_3 (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.number_of_organizations E T))) (let ((_let_2 (tptp.resources E T))) (=> (and (tptp.environment E) (tptp.in_environment E T)) (and (=> (tptp.decreases _let_2) (not (tptp.decreases _let_1))) (=> (tptp.constant _let_2) (tptp.constant _let_1))))))))) (let ((_let_4 (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.resources E T))) (let ((_let_2 (tptp.greater (tptp.equilibrium E) T))) (=> (and (tptp.environment E) (tptp.in_environment E T) (tptp.greater (tptp.number_of_organizations E T) tptp.zero)) (and (=> _let_2 (tptp.decreases _let_1)) (=> (not _let_2) (tptp.constant _let_1))))))))) (let ((_let_5 (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.equilibrium E))) (=> (and (tptp.environment E) (tptp.greater_or_equal T _let_1)) (not (tptp.greater _let_1 T))))))) (let ((_let_6 (forall ((E $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (tptp.greater (tptp.number_of_organizations E T) tptp.zero))))) (let ((_let_7 (forall ((E $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (tptp.in_environment E T))))) (let ((_let_8 (tptp.number_of_organizations SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_9 (tptp.constant _let_8))) (let ((_let_10 (tptp.resources SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (tptp.constant _let_10))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_9))) (let ((_let_14 (tptp.growth_rate tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_15 (tptp.growth_rate tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (and (tptp.greater _let_15 tptp.zero) (tptp.greater tptp.zero _let_14)))) (let ((_let_17 (and (tptp.greater _let_14 tptp.zero) (tptp.greater tptp.zero _let_15)))) (let ((_let_18 (and (= tptp.zero _let_14) (= tptp.zero _let_15)))) (let ((_let_19 (not _let_9))) (let ((_let_20 (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_21 _let_19 _let_18 _let_17 _let_16))) (let ((_let_25 (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.growth_rate tptp.first_movers T))) (let ((_let_2 (tptp.growth_rate tptp.efficient_producers T))) (or (not (tptp.environment E)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (not (tptp.constant (tptp.number_of_organizations E T))) (and (= tptp.zero _let_1) (= tptp.zero _let_2)) (and (tptp.greater _let_1 tptp.zero) (tptp.greater tptp.zero _let_2)) (and (tptp.greater _let_2 tptp.zero) (tptp.greater tptp.zero _let_1)))))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (tptp.equilibrium SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_28 (tptp.greater_or_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_27))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_23 _let_21 _let_29 _let_18 _let_17 _let_16))) (let ((_let_31 (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.growth_rate tptp.first_movers T))) (let ((_let_2 (tptp.growth_rate tptp.efficient_producers T))) (or (not (tptp.environment E)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (not (tptp.greater_or_equal T (tptp.equilibrium E))) (and (= tptp.zero _let_1) (= tptp.zero _let_2)) (and (tptp.greater _let_1 tptp.zero) (tptp.greater tptp.zero _let_2)) (and (tptp.greater _let_2 tptp.zero) (tptp.greater tptp.zero _let_1)))))))) (let ((_let_32 (not _let_30))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (or))) (let ((_let_35 (not _let_31))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_33) :args (_let_35))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_31))) (REFL :args (_let_32)) :args _let_34)) _let_33 :args (_let_32 true _let_31)))) (let ((_let_37 (REFL :args (_let_30)))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 1)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_34)) :args ((or _let_20 _let_30))) _let_36 :args (_let_20 true _let_30)))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 0)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_34)) :args ((or _let_22 _let_30))) _let_36 :args (_let_22 true _let_30)))) (let ((_let_40 (tptp.decreases _let_10))) (let ((_let_41 (and (or (not _let_40) (not (tptp.decreases _let_8))) _let_13))) (let ((_let_42 (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_23 _let_43 _let_41))) (let ((_let_45 (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.number_of_organizations E T))) (let ((_let_2 (tptp.resources E T))) (or (not (tptp.environment E)) (not (tptp.in_environment E T)) (and (or (not (tptp.decreases _let_2)) (not (tptp.decreases _let_1))) (or (not (tptp.constant _let_2)) (tptp.constant _let_1))))))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (or _let_23 _let_21 _let_42))) (let ((_let_48 (forall ((E $$unsorted) (T $$unsorted)) (or (not (tptp.environment E)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (tptp.in_environment E T))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_23 _let_21 _let_42 (not _let_47)))) _let_39 _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) false))))) :args (_let_48))) _let_49 :args (_let_47 false _let_48)) :args (_let_42 false _let_22 false _let_20 false _let_47)))) (let ((_let_51 (tptp.greater _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_52 (or _let_51 _let_11))) (let ((_let_53 (not _let_51))) (let ((_let_54 (and (or _let_53 _let_40) _let_52))) (let ((_let_55 (tptp.greater _let_8 tptp.zero))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_23 _let_43 _let_56 _let_54))) (let ((_let_58 (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.resources E T))) (let ((_let_2 (tptp.greater (tptp.equilibrium E) T))) (or (not (tptp.environment E)) (not (tptp.in_environment E T)) (not (tptp.greater (tptp.number_of_organizations E T) tptp.zero)) (and (or (not _let_2) (tptp.decreases _let_1)) (or _let_2 (tptp.constant _let_1))))))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (or _let_23 _let_21 _let_55))) (let ((_let_61 (forall ((E $$unsorted) (T $$unsorted)) (or (not (tptp.environment E)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (tptp.greater (tptp.number_of_organizations E T) tptp.zero))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (or _let_23 _let_29 _let_53))) (let ((_let_64 (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.equilibrium E))) (or (not (tptp.environment E)) (not (tptp.greater_or_equal T _let_1)) (not (tptp.greater _let_1 T))))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_13)) :args ((or _let_9 _let_12 (not _let_13)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_51 _let_11 (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_23 _let_29 _let_53 (not _let_63)))) _let_39 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 2)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_34)) :args ((or _let_28 _let_30))) _let_36 :args (_let_28 true _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.greater_or_equal T (tptp.equilibrium E)) false))))) :args (_let_64))) _let_65 :args (_let_63 false _let_64)) :args (_let_53 false _let_22 false _let_28 false _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_54 1)) :args ((or _let_52 (not _let_54)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_23 _let_43 _let_56 _let_54 (not _let_57)))) _let_39 _let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_23 _let_21 _let_55 (not _let_60)))) _let_39 _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) false))))) :args (_let_61))) _let_62 :args (_let_60 false _let_61)) :args (_let_55 false _let_22 false _let_20 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in_environment E T) false))))) :args (_let_58))) _let_59 :args (_let_57 false _let_58)) :args (_let_54 false _let_22 false _let_42 false _let_55 false _let_57)) :args (_let_52 false _let_54)) :args (_let_11 true _let_51 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_41 1)) :args ((or _let_13 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_23 _let_43 _let_41 (not _let_44)))) _let_39 _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in_environment E T) false))))) :args (_let_45))) _let_46 :args (_let_44 false _let_45)) :args (_let_41 false _let_22 false _let_42 false _let_44)) :args (_let_13 false _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_21 _let_18 _let_17 _let_16 _let_19 (not _let_24)))) _let_39 _let_38 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_30 3)) _let_36 :args ((not _let_18) true _let_30)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_30 4)) _let_36 :args ((not _let_17) true _let_30)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_30 5)) _let_36 :args ((not _let_16) true _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) false))))) :args (_let_25))) _let_26 :args (_let_24 false _let_25)) :args (_let_19 false _let_22 false _let_20 true _let_18 true _let_17 true _let_16 false _let_24)) :args (false false _let_11 false _let_13 true _let_9)) :args (_let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.18/0.51  )
% 0.18/0.51  % SZS output end Proof for MGT024+1
% 0.18/0.51  % cvc5---1.0.5 exiting
% 0.18/0.51  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------