TSTP Solution File: MGT036+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : MGT036+3 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 09:09:07 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 : MGT036+3 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n002.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 06:24:49 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/sandbox2/tmp/tmp.m6hCRGowO4/cvc5---1.0.5_8271.p...
% 0.20/0.52 ------- get file name : TPTP file name is MGT036+3
% 0.20/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8271.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 MGT036+3
% 0.20/0.52 % SZS output start Proof for MGT036+3
% 0.20/0.52 (
% 0.20/0.52 (let ((_let_1 (not (exists ((E $$unsorted) (T $$unsorted)) (and (tptp.environment E) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) (tptp.outcompetes tptp.first_movers tptp.efficient_producers T)))))) (let ((_let_2 (exists ((E $$unsorted) (T $$unsorted)) (and (tptp.environment E) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) (tptp.greater_or_equal (tptp.growth_rate tptp.first_movers T) tptp.zero) (tptp.greater tptp.zero (tptp.growth_rate tptp.efficient_producers T)))))) (let ((_let_3 (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_4 (forall ((E $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.subpopulations S1 S2 E T)) (tptp.subpopulations S2 S1 E T))))) (let ((_let_5 (tptp.environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_6 (tptp.subpopulations tptp.efficient_producers tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (tptp.greater tptp.zero (tptp.growth_rate tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_8 (tptp.greater_or_equal (tptp.growth_rate tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) tptp.zero))) (let ((_let_9 (and _let_8 _let_7))) (let ((_let_10 (tptp.outcompetes tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (not _let_6))) (let ((_let_13 (not _let_5))) (let ((_let_14 (or _let_13 _let_12 _let_11))) (let ((_let_15 (not _let_7))) (let ((_let_16 (not _let_8))) (let ((_let_17 (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_13 _let_18 _let_16 _let_15))) (let ((_let_20 (forall ((E $$unsorted) (T $$unsorted)) (or (not (tptp.environment E)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (not (tptp.greater_or_equal (tptp.growth_rate tptp.first_movers T) tptp.zero)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.efficient_producers T))))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (or))) (let ((_let_24 (not _let_20))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_22) :args (_let_24))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_20))) (REFL :args (_let_21)) :args _let_23)) _let_22 :args (_let_21 true _let_20)))) (let ((_let_26 (REFL :args (_let_19)))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 0)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_5))) :args _let_23)) :args ((or _let_5 _let_19))) _let_25 :args (_let_5 true _let_19)))) (let ((_let_28 (or _let_13 _let_18 _let_6))) (let ((_let_29 (forall ((E $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (T $$unsorted)) (or (not (tptp.environment E)) (not (tptp.subpopulations S1 S2 E T)) (tptp.subpopulations S2 S1 E T))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 1)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_23)) :args ((or _let_17 _let_19))) _let_25 :args (_let_17 true _let_19)))) (let ((_let_32 (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_33 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (not _let_11))) (let ((_let_35 (not _let_10))) (let ((_let_36 (or _let_13 _let_18 _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 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_13 _let_12 _let_11 (not _let_14)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_11)) :args ((or _let_10 (not _let_9) _let_34))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_13 _let_18 _let_35 (not _let_36)))) _let_27 _let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :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_37))) _let_38 :args (_let_36 false _let_37)) :args (_let_35 false _let_5 false _let_17 false _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_9)) :args ((or _let_16 _let_15 _let_9))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 2)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_8))) :args _let_23)) :args ((or _let_8 _let_19))) _let_25 :args (_let_8 true _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 3)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_7))) :args _let_23)) :args ((or _let_7 _let_19))) _let_25 :args (_let_7 true _let_19)) :args (_let_9 false _let_8 false _let_7)) :args (_let_34 true _let_10 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_33 :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_32)))) _let_33 :args (_let_14 false _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_13 _let_18 _let_6 (not _let_28)))) _let_27 _let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subpopulations S1 S2 E T) false))))) :args (_let_29))) _let_30 :args (_let_28 false _let_29)) :args (_let_6 false _let_5 false _let_17 false _let_28)) _let_27 :args (false true _let_11 false _let_14 false _let_6 false _let_5)) :args (_let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))
% 0.20/0.53 )
% 0.20/0.53 % SZS output end Proof for MGT036+3
% 0.20/0.53 % cvc5---1.0.5 exiting
% 0.20/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------