TSTP Solution File: MGT022+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : MGT022+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 09:08:59 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
% 0.12/0.13 % Problem : MGT022+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 06:44:39 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.aBv0ihYkzB/cvc5---1.0.5_18944.p...
% 0.21/0.52 ------- get file name : TPTP file name is MGT022+1
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18944.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 MGT022+1
% 0.21/0.52 % SZS output start Proof for MGT022+1
% 0.21/0.52 (
% 0.21/0.52 (let ((_let_1 (not (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.difference (tptp.disbanding_rate tptp.first_movers T) (tptp.disbanding_rate tptp.efficient_producers T)))) (let ((_let_2 (tptp.resources E T))) (=> (and (tptp.environment E) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (and (=> (tptp.decreases _let_2) (tptp.increases _let_1)) (=> (tptp.constant _let_2) (not (tptp.decreases _let_1))))))))))) (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)) (let ((_let_1 (tptp.difference (tptp.disbanding_rate S1 T) (tptp.disbanding_rate S2 T)))) (let ((_let_2 (tptp.resources E T))) (=> (and (tptp.environment E) (tptp.subpopulations S1 S2 E T) (tptp.greater (tptp.resilience S2) (tptp.resilience S1))) (and (=> (tptp.decreases _let_2) (tptp.increases _let_1)) (=> (tptp.constant _let_2) (tptp.constant _let_1))))))))) (let ((_let_4 (forall ((X $$unsorted)) (=> (tptp.constant X) (not (tptp.decreases X)))))) (let ((_let_5 (tptp.difference (tptp.disbanding_rate tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.disbanding_rate tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_6 (tptp.decreases _let_5))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.constant _let_5))) (let ((_let_9 (not _let_8))) (let ((_let_10 (or _let_9 _let_7))) (let ((_let_11 (forall ((X $$unsorted)) (or (not (tptp.constant X)) (not (tptp.decreases X)))))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (tptp.resources SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (tptp.constant _let_13))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_7))) (let ((_let_17 (or (not (tptp.decreases _let_13)) (tptp.increases _let_5)))) (let ((_let_18 (and _let_17 _let_16))) (let ((_let_19 (or _let_15 _let_8))) (let ((_let_20 (and _let_17 _let_19))) (let ((_let_21 (not _let_2))) (let ((_let_22 (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_21 _let_20))) (let ((_let_27 (forall ((E $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.difference (tptp.disbanding_rate S1 T) (tptp.disbanding_rate S2 T)))) (let ((_let_2 (tptp.resources E T))) (or (not (tptp.environment E)) (not (tptp.subpopulations S1 S2 E T)) (not (tptp.greater (tptp.resilience S2) (tptp.resilience S1))) (and (or (not (tptp.decreases _let_2)) (tptp.increases _let_1)) (or (not (tptp.constant _let_2)) (tptp.constant _let_1))))))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (or _let_25 _let_23 _let_18))) (let ((_let_30 (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.difference (tptp.disbanding_rate tptp.first_movers T) (tptp.disbanding_rate tptp.efficient_producers T)))) (let ((_let_2 (tptp.resources E T))) (or (not (tptp.environment E)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (and (or (not (tptp.decreases _let_2)) (tptp.increases _let_1)) (or (not (tptp.constant _let_2)) (not (tptp.decreases _let_1)))))))))) (let ((_let_31 (not _let_29))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (or))) (let ((_let_34 (not _let_30))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_32) :args (_let_34))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_30))) (REFL :args (_let_31)) :args _let_33)) _let_32 :args (_let_31 true _let_30)))) (let ((_let_36 (REFL :args (_let_29)))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_21 _let_25 _let_23 _let_20 (not _let_26)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 0)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_33)) :args ((or _let_24 _let_29))) _let_35 :args (_let_24 true _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 1)) (CONG _let_36 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_33)) :args ((or _let_22 _let_29))) _let_35 :args (_let_22 true _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :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_27))) _let_28 :args (_let_26 false _let_27)) :args (_let_20 false _let_2 false _let_24 false _let_22 false _let_26)))) (let ((_let_38 (not _let_20))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_18)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_29 2)) _let_35 :args ((not _let_18) true _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_20 0)) :args ((or _let_17 _let_38))) _let_37 :args (_let_17 false _let_20)) :args ((not _let_16) true _let_18 false _let_17)))) (let ((_let_40 (REFL :args (_let_16)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_7 _let_9 (not _let_10)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_15 _let_8 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 0)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_33)) :args ((or _let_14 _let_16))) _let_39 :args (_let_14 true _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_20 1)) :args ((or _let_19 _let_38))) _let_37 :args (_let_19 false _let_20)) :args (_let_8 false _let_14 false _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 1)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_6))) :args _let_33)) :args ((or _let_6 _let_16))) _let_39 :args (_let_6 true _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (_let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.decreases X) false))))) :args (_let_11))) _let_12 :args (_let_10 false _let_11)) :args (false false _let_8 false _let_6 false _let_10)) :args (_let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.53 )
% 0.21/0.53 % SZS output end Proof for MGT022+1
% 0.21/0.53 % cvc5---1.0.5 exiting
% 0.21/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------