%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : MGT036+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n008.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 09:09:06 EDT 2023

% Result   : Theorem 0.21s 0.52s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : MGT036+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.17/0.35  % Computer : n008.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit   : 300
% 0.17/0.35  % WCLimit    : 300
% 0.17/0.35  % DateTime   : Mon Aug 28 06:23:47 EDT 2023
% 0.17/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.52  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Uy94bSbHXJ/cvc5---1.0.5_22122.p...
% 0.21/0.52  ------- get file name : TPTP file name is MGT036+1
% 0.21/0.52  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22122.smt2...
% 0.21/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.52  % SZS status Theorem for MGT036+1
% 0.21/0.52  % SZS output start Proof for MGT036+1
% 0.21/0.52  (
% 0.21/0.52  (let ((_let_1 (not (forall ((E $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (not (tptp.outcompetes tptp.first_movers tptp.efficient_producers T))))))) (let ((_let_2 (tptp.greater (tptp.resilience tptp.efficient_producers) (tptp.resilience tptp.first_movers)))) (let ((_let_3 (forall ((E $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.in_environment E T) (not (tptp.greater tptp.zero (tptp.growth_rate S1 T))) (tptp.greater (tptp.resilience S2) (tptp.resilience S1))) (not (tptp.greater tptp.zero (tptp.growth_rate S2 T))))))) (let ((_let_4 (forall ((E $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.subpopulations S1 S2 E T)) (= (and (tptp.greater_or_equal (tptp.growth_rate S2 T) tptp.zero) (tptp.greater tptp.zero (tptp.growth_rate S1 T))) (tptp.outcompetes S2 S1 T)))))) (let ((_let_5 (forall ((E $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.growth_rate S1 T))) (= (=> (and (tptp.environment E) (tptp.subpopulations S1 S2 E T)) (tptp.greater_or_equal _let_1 tptp.zero)) (not (tptp.greater tptp.zero _let_1))))))) (let ((_let_6 (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_7 (forall ((E $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (tptp.subpopulations tptp.efficient_producers tptp.first_movers E T))))) (let ((_let_8 (forall ((E $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (T $$unsorted)) (or (not (tptp.environment E)) (not (tptp.in_environment E T)) (tptp.greater tptp.zero (tptp.growth_rate S1 T)) (not (tptp.greater (tptp.resilience S2) (tptp.resilience S1))) (not (tptp.greater tptp.zero (tptp.growth_rate S2 T))))))) (let ((_let_9 (tptp.greater tptp.zero (tptp.growth_rate tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_10 (not _let_9))) (let ((_let_11 (not _let_2))) (let ((_let_12 (tptp.growth_rate tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_13 (tptp.greater tptp.zero _let_12))) (let ((_let_14 (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15 _let_13 _let_11 _let_10))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (not _let_18))) (let ((_let_21 (tptp.greater_or_equal _let_12 tptp.zero))) (let ((_let_22 (and _let_21 _let_9))) (let ((_let_23 (tptp.outcompetes tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_24 (= _let_23 _let_22))) (let ((_let_25 (tptp.subpopulations tptp.efficient_producers tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_17 _let_26 _let_24))) (let ((_let_28 (forall ((E $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (T $$unsorted)) (or (not (tptp.environment E)) (not (tptp.subpopulations S1 S2 E T)) (= (and (tptp.greater_or_equal (tptp.growth_rate S2 T) tptp.zero) (tptp.greater tptp.zero (tptp.growth_rate S1 T))) (tptp.outcompetes S2 S1 T)))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_17 _let_31 _let_25))) (let ((_let_33 (forall ((E $$unsorted) (T $$unsorted)) (or (not (tptp.environment E)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (tptp.subpopulations tptp.efficient_producers tptp.first_movers E T))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (not _let_23))) (let ((_let_36 (or _let_17 _let_31 _let_35))) (let ((_let_37 (forall ((E $$unsorted) (T $$unsorted)) (or (not (tptp.environment E)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (not (tptp.outcompetes tptp.first_movers tptp.efficient_producers T)))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (or))) (let ((_let_41 (not _let_37))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_39) :args (_let_41))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_37))) (REFL :args (_let_38)) :args _let_40)) _let_39 :args (_let_38 true _let_37)))) (let ((_let_43 (REFL :args (_let_36)))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 1)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_40)) :args ((or _let_30 _let_36))) _let_42 :args (_let_30 true _let_36)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_40)) :args ((or _let_16 _let_36))) _let_42 :args (_let_16 true _let_36)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_24)) :args ((or _let_35 _let_22 (not _let_24)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 2)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_23))) :args _let_40)) :args ((or _let_23 _let_36))) _let_42 :args (_let_23 true _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_17 _let_26 _let_24 (not _let_27)))) _let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_17 _let_31 _let_25 (not _let_32)))) _let_45 _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :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_33))) _let_34 :args (_let_32 false _let_33)) :args (_let_25 false _let_16 false _let_30 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.efficient_producers tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subpopulations S1 S2 E T) false))))) :args (_let_28)))) _let_29 :args (_let_27 false _let_28)) :args (_let_24 false _let_16 false _let_25 false _let_27)) :args (_let_22 false _let_23 false _let_24)))) (let ((_let_47 (not _let_22))) (let ((_let_48 (or _let_17 _let_31 _let_14))) (let ((_let_49 (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_50 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (or _let_17 _let_31 _let_21))) (let ((_let_52 (not _let_13))) (let ((_let_53 (= _let_52 _let_51))) (let ((_let_54 (forall ((E $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.growth_rate S1 T))) (= (not (tptp.greater tptp.zero _let_1)) (or (not (tptp.environment E)) (not (tptp.subpopulations S1 S2 E T)) (tptp.greater_or_equal _let_1 tptp.zero))))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.in_environment E T) false)) (tptp.growth_rate S1 T) (tptp.resilience S2)))) :args (_let_8))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_11 _let_17 _let_13 _let_15 _let_10 _let_20))) (ASSUME :args (_let_2)) _let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_53)) :args ((or _let_52 (not _let_51) (not _let_53)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_51 2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 0)) :args ((or _let_21 _let_47))) _let_46 :args (_let_21 false _let_22)) :args (_let_51 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subpopulations S1 S2 E T)))) :args (_let_54))) _let_55 :args (_let_53 false _let_54)) :args (_let_52 false _let_51 false _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_17 _let_31 _let_14 (not _let_48)))) _let_45 _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :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_49))) _let_50 :args (_let_48 false _let_49)) :args (_let_14 false _let_16 false _let_30 false _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 1)) :args ((or _let_9 _let_47))) _let_46 :args (_let_9 false _let_22)) :args (_let_20 false _let_2 false _let_16 true _let_13 false _let_14 false _let_9)) _let_19 :args (false true _let_18 false _let_8)) :args (_let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.52  )
% 0.21/0.52  % SZS output end Proof for MGT036+1
% 0.21/0.52  % cvc5---1.0.5 exiting
% 0.21/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------