TSTP Solution File: MGT023+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : MGT023+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 09:09:00 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
% 0.00/0.13 % Problem : MGT023+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 06:37:26 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.lJlNuXZ3vA/cvc5---1.0.5_407.p...
% 0.20/0.52 ------- get file name : TPTP file name is MGT023+1
% 0.20/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_407.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 MGT023+1
% 0.20/0.52 % SZS output start Proof for MGT023+1
% 0.20/0.52 (
% 0.20/0.52 (let ((_let_1 (not (forall ((E $$unsorted)) (=> (and (tptp.environment E) (tptp.stable E)) (tptp.in_environment E (tptp.critical_point E))))))) (let ((_let_2 (forall ((E $$unsorted)) (=> (and (tptp.environment E) (tptp.stable E)) (exists ((To $$unsorted)) (and (tptp.in_environment E To) (not (tptp.greater (tptp.growth_rate tptp.efficient_producers To) (tptp.growth_rate tptp.first_movers To))) (forall ((T $$unsorted)) (=> (and (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) (tptp.greater T To)) (tptp.greater (tptp.growth_rate tptp.efficient_producers T) (tptp.growth_rate tptp.first_movers T)))))))))) (let ((_let_3 (forall ((E $$unsorted) (To $$unsorted)) (=> (and (tptp.environment E) (not (tptp.greater (tptp.growth_rate tptp.efficient_producers To) (tptp.growth_rate tptp.first_movers To))) (tptp.in_environment E To) (forall ((T $$unsorted)) (=> (and (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) (tptp.greater T To)) (tptp.greater (tptp.growth_rate tptp.efficient_producers T) (tptp.growth_rate tptp.first_movers T))))) (= To (tptp.critical_point E)))))) (let ((_let_4 (tptp.critical_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_5 (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_4))) (let ((_let_6 (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_7 (= _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_8 (tptp.stable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or _let_11 _let_9 _let_5))) (let ((_let_13 (not _let_5))) (let ((_let_14 (forall ((E $$unsorted)) (or (not (tptp.environment E)) (not (tptp.stable E)) (tptp.in_environment E (tptp.critical_point E)))))) (let ((_let_15 (not _let_12))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (or))) (let ((_let_18 (not _let_14))) (let ((_let_19 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_16) :args (_let_18))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_14))) (REFL :args (_let_15)) :args _let_17)) _let_16 :args (_let_15 true _let_14)))) (let ((_let_20 (forall ((T $$unsorted)) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 T)) (not (tptp.greater T SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.greater (tptp.growth_rate tptp.efficient_producers T) (tptp.growth_rate tptp.first_movers T)))))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.greater (tptp.growth_rate tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.growth_rate tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_23 (not _let_6))) (let ((_let_24 (or _let_23 _let_22 _let_21))) (let ((_let_25 (forall ((To $$unsorted)) (or (not (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 To)) (tptp.greater (tptp.growth_rate tptp.efficient_producers To) (tptp.growth_rate tptp.first_movers To)) (not (forall ((T $$unsorted)) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 T)) (not (tptp.greater T To)) (tptp.greater (tptp.growth_rate tptp.efficient_producers T) (tptp.growth_rate tptp.first_movers T))))))))) (let ((_let_26 (not _let_24))) (let ((_let_27 (not _let_25))) (let ((_let_28 (or _let_11 _let_9 _let_27))) (let ((_let_29 (forall ((E $$unsorted)) (or (not (tptp.environment E)) (not (tptp.stable E)) (not (forall ((To $$unsorted)) (or (not (tptp.in_environment E To)) (tptp.greater (tptp.growth_rate tptp.efficient_producers To) (tptp.growth_rate tptp.first_movers To)) (not (forall ((T $$unsorted)) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (not (tptp.greater T To)) (tptp.greater (tptp.growth_rate tptp.efficient_producers T) (tptp.growth_rate tptp.first_movers T)))))))))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (REFL :args (_let_12)))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_12 0)) (CONG _let_31 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_17)) :args ((or _let_10 _let_12))) _let_19 :args (_let_10 true _let_12)))) (let ((_let_33 (_let_27))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_33)) :args _let_33)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_25))) (REFL :args (_let_26)) :args _let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_11 _let_9 _let_27 (not _let_28)))) _let_32 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_12 1)) (CONG _let_31 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_17)) :args ((or _let_8 _let_12))) _let_19 :args (_let_8 true _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.stable E) false))))) :args (_let_29))) _let_30 :args (_let_28 false _let_29)) :args (_let_27 false _let_10 false _let_8 false _let_28)) :args (_let_26 true _let_25)))) (let ((_let_35 (REFL :args (_let_24)))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 0)) (CONG _let_35 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_6))) :args _let_17)) :args ((or _let_6 _let_24))) _let_34 :args (_let_6 true _let_24)))) (let ((_let_37 (forall ((T $$unsorted)) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 T)) (not (tptp.greater T SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.greater (tptp.growth_rate tptp.efficient_producers T) (tptp.growth_rate tptp.first_movers T)))))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_11 _let_22 _let_23 _let_38 _let_7))) (let ((_let_40 (forall ((E $$unsorted) (To $$unsorted)) (or (not (tptp.environment E)) (tptp.greater (tptp.growth_rate tptp.efficient_producers To) (tptp.growth_rate tptp.first_movers To)) (not (tptp.in_environment E To)) (not (forall ((T $$unsorted)) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (not (tptp.greater T To)) (tptp.greater (tptp.growth_rate tptp.efficient_producers T) (tptp.growth_rate tptp.first_movers T))))) (= To (tptp.critical_point E)))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (ASSUME :args (_let_13)))) (let ((_let_43 (ASSUME :args (_let_7)))) (let ((_let_44 (ASSUME :args (_let_6)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_42 _let_43 _let_44) :args (_let_13 _let_6 _let_7)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_44)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (SYMM _let_43) :args (APPLY_UF tptp.in_environment)) (FALSE_INTRO _let_42))) :args (_let_13 _let_7 _let_6)) :args ((not (and _let_13 _let_6 _let_7)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_5))) (REFL :args (_let_23)) (REFL :args ((not _let_7))) :args _let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_11 _let_23 _let_22 _let_38 _let_7 (not _let_39)))) _let_32 _let_36 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_24 1)) _let_34 :args ((not _let_22) true _let_24)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_20 (= T T)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 2)) (CONG _let_35 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_17)) :args ((or _let_20 _let_24))) _let_34 :args (_let_20 true _let_24)) :args (_let_37 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in_environment E To) false))))) :args (_let_40)))) _let_41 :args (_let_39 false _let_40)) :args (_let_7 false _let_10 false _let_6 true _let_22 false _let_37 false _let_39)) _let_36 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_12 2)) _let_19 :args (_let_13 true _let_12)) :args (false false _let_7 false _let_6 true _let_5)) :args (_let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.53 )
% 0.20/0.53 % SZS output end Proof for MGT023+1
% 0.20/0.53 % cvc5---1.0.5 exiting
% 0.20/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------