%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : MGT032+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 09:09:04 EDT 2023

% Result   : Theorem 0.20s 0.52s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : MGT032+2 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % 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 06:52:50 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.52  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.00yndzT65P/cvc5---1.0.5_16395.p...
% 0.20/0.52  ------- get file name : TPTP file name is MGT032+2
% 0.20/0.52  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16395.smt2...
% 0.20/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52  % SZS status Theorem for MGT032+2
% 0.20/0.52  % SZS output start Proof for MGT032+2
% 0.20/0.52  (
% 0.20/0.52  (let ((_let_1 (not (forall ((E $$unsorted)) (=> (and (tptp.environment E) (tptp.stable E)) (exists ((To $$unsorted)) (and (tptp.in_environment E To) (forall ((T $$unsorted)) (=> (and (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) (tptp.greater_or_equal T To)) (tptp.selection_favors tptp.efficient_producers tptp.first_movers T)))))))))) (let ((_let_2 (forall ((E $$unsorted)) (=> (and (tptp.environment E) (tptp.stable E)) (exists ((To $$unsorted)) (and (tptp.in_environment E To) (forall ((T $$unsorted)) (=> (and (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) (tptp.greater_or_equal T To)) (tptp.greater (tptp.growth_rate tptp.efficient_producers T) (tptp.growth_rate tptp.first_movers T)))))))))) (let ((_let_3 (forall ((E $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.subpopulations S1 S2 E T) (tptp.greater (tptp.growth_rate S2 T) (tptp.growth_rate S1 T))) (tptp.selection_favors S2 S1 T))))) (let ((_let_4 (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_5 (tptp.greater_or_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_6 (tptp.greater (tptp.growth_rate tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.growth_rate tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_7 (not _let_5))) (let ((_let_8 (not _let_4))) (let ((_let_9 (or _let_8 _let_7 _let_6))) (let ((_let_10 (tptp.selection_favors tptp.efficient_producers tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_11 (or _let_8 _let_7 _let_10))) (let ((_let_12 (forall ((T $$unsorted)) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 T)) (not (tptp.greater_or_equal T SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.selection_favors tptp.efficient_producers tptp.first_movers T))))) (let ((_let_13 (not _let_11))) (let ((_let_14 (not _let_12))) (let ((_let_15 (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_14))) (let ((_let_18 (forall ((To $$unsorted)) (or (not (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 To)) (not (forall ((T $$unsorted)) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 T)) (not (tptp.greater_or_equal T To)) (tptp.selection_favors tptp.efficient_producers tptp.first_movers T)))))))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.stable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_21 _let_19))) (let ((_let_25 (forall ((E $$unsorted)) (or (not (tptp.environment E)) (not (tptp.stable E)) (not (forall ((To $$unsorted)) (or (not (tptp.in_environment E To)) (not (forall ((T $$unsorted)) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (not (tptp.greater_or_equal T To)) (tptp.selection_favors tptp.efficient_producers tptp.first_movers T))))))))))) (let ((_let_26 (not _let_24))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (or))) (let ((_let_29 (not _let_25))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_27) :args (_let_29))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_25))) (REFL :args (_let_26)) :args _let_28)) _let_27 :args (_let_26 true _let_25)))) (let ((_let_31 (REFL :args (_let_24)))) (let ((_let_32 (_let_18))) (let ((_let_33 (forall ((T $$unsorted)) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 T)) (not (tptp.greater_or_equal T SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.greater (tptp.growth_rate tptp.efficient_producers T) (tptp.growth_rate tptp.first_movers T)))))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_16 _let_34))) (let ((_let_36 (forall ((To $$unsorted)) (or (not (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 To)) (not (forall ((T $$unsorted)) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 T)) (not (tptp.greater_or_equal T To)) (tptp.greater (tptp.growth_rate tptp.efficient_producers T) (tptp.growth_rate tptp.first_movers T))))))))) (let ((_let_37 (not _let_35))) (let ((_let_38 (not _let_36))) (let ((_let_39 (or _let_23 _let_21 _let_38))) (let ((_let_40 (forall ((E $$unsorted)) (or (not (tptp.environment E)) (not (tptp.stable E)) (not (forall ((To $$unsorted)) (or (not (tptp.in_environment E To)) (not (forall ((T $$unsorted)) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (not (tptp.greater_or_equal T To)) (tptp.greater (tptp.growth_rate tptp.efficient_producers T) (tptp.growth_rate tptp.first_movers T)))))))))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 0)) (CONG _let_31 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_28)) :args ((or _let_22 _let_24))) _let_30 :args (_let_22 true _let_24)))) (let ((_let_43 (_let_38))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_43)) :args _let_43)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_36))) (REFL :args (_let_37)) :args _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_23 _let_21 _let_38 (not _let_39)))) _let_42 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 1)) (CONG _let_31 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_28)) :args ((or _let_20 _let_24))) _let_30 :args (_let_20 true _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.environment E) false))))) :args (_let_40))) _let_41 :args (_let_39 false _let_40)) :args (_let_38 false _let_22 false _let_20 false _let_39)) :args (_let_37 true _let_36)))) (let ((_let_45 (REFL :args (_let_35)))) (let ((_let_46 (_let_14))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_46)) :args _let_46)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_12))) (REFL :args (_let_13)) :args _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_16 _let_14 (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 0)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_28)) :args ((or _let_15 _let_35))) _let_44 :args (_let_15 true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_32) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 To) false))))) :args _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 2)) (CONG _let_31 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_28)) :args ((or _let_18 _let_24))) _let_30 :args (_let_18 true _let_24)) :args (_let_17 false _let_18)) :args (_let_14 false _let_15 false _let_17)) :args (_let_13 true _let_12)))) (let ((_let_48 (REFL :args (_let_11)))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_11 0)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_4))) :args _let_28)) :args ((or _let_4 _let_11))) _let_47 :args (_let_4 true _let_11)))) (let ((_let_50 (_let_33))) (let ((_let_51 (not _let_6))) (let ((_let_52 (or _let_23 _let_8 _let_51 _let_10))) (let ((_let_53 (forall ((E $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (T $$unsorted)) (or (not (tptp.environment E)) (not (tptp.subpopulations S1 S2 E T)) (not (tptp.greater (tptp.growth_rate S2 T) (tptp.growth_rate S1 T))) (tptp.selection_favors S2 S1 T))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_9)) :args ((or _let_8 _let_7 _let_6 (not _let_9)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_23 _let_8 _let_10 _let_51 (not _let_52)))) _let_42 _let_49 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_11 2)) _let_47 :args ((not _let_10) true _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subpopulations S1 S2 E T) false))))) :args (_let_53))) _let_54 :args (_let_52 false _let_53)) :args (_let_51 false _let_22 false _let_4 true _let_10 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_50) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 T) false))))) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 1)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_28)) :args ((or _let_33 _let_35))) _let_44 :args (_let_33 true _let_35)) :args (_let_9 false _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_11 1)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_5))) :args _let_28)) :args ((or _let_5 _let_11))) _let_47 :args (_let_5 true _let_11)) _let_49 :args (false true _let_6 false _let_9 false _let_5 false _let_4)) :args (_let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.52  )
% 0.20/0.52  % SZS output end Proof for MGT032+2
% 0.20/0.52  % cvc5---1.0.5 exiting
% 0.20/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------