%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : MGT041+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n004.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 09:09:11 EDT 2023

% Result   : Theorem 0.20s 0.51s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : MGT041+2 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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 06:05:38 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.51  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.QNWjrpZM4g/cvc5---1.0.5_25730.p...
% 0.20/0.51  ------- get file name : TPTP file name is MGT041+2
% 0.20/0.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25730.smt2...
% 0.20/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.51  % SZS status Theorem for MGT041+2
% 0.20/0.51  % SZS output start Proof for MGT041+2
% 0.20/0.51  (
% 0.20/0.51  (let ((_let_1 (not (exists ((X $$unsorted) (T $$unsorted)) (and (tptp.organisation_at_time X T) (not (tptp.first_mover X)) (not (tptp.efficient_producer X))))))) (let ((_let_2 (exists ((X $$unsorted) (T $$unsorted)) (and (tptp.organisation_at_time X T) (tptp.founding_time X T) (tptp.number_of_routines X T tptp.high) (not (tptp.has_elaborated_routines X T)))))) (let ((_let_3 (forall ((X $$unsorted) (T $$unsorted)) (=> (and (tptp.organisation_at_time X T) (tptp.first_mover X) (tptp.founding_time X T)) (tptp.number_of_routines X T tptp.low))))) (let ((_let_4 (forall ((X $$unsorted) (T $$unsorted)) (=> (and (tptp.organisation_at_time X T) (tptp.efficient_producer X) (tptp.founding_time X T)) (tptp.has_elaborated_routines X T))))) (let ((_let_5 (forall ((X $$unsorted) (T $$unsorted)) (not (and (tptp.number_of_routines X T tptp.low) (tptp.number_of_routines X T tptp.high)))))) (let ((_let_6 (tptp.organisation_at_time SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (tptp.efficient_producer SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (tptp.first_mover SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (not _let_6))) (let ((_let_10 (or _let_9 _let_8 _let_7))) (let ((_let_11 (tptp.has_elaborated_routines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (tptp.number_of_routines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.high))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.founding_time SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_9 _let_15 _let_13 _let_11))) (let ((_let_17 (forall ((X $$unsorted) (T $$unsorted)) (or (not (tptp.organisation_at_time X T)) (not (tptp.founding_time X T)) (not (tptp.number_of_routines X T tptp.high)) (tptp.has_elaborated_routines X T))))) (let ((_let_18 (not _let_16))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (or))) (let ((_let_21 (not _let_17))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_19) :args (_let_21))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_17))) (REFL :args (_let_18)) :args _let_20)) _let_19 :args (_let_18 true _let_17)))) (let ((_let_23 (REFL :args (_let_16)))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 0)) (CONG _let_23 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_6))) :args _let_20)) :args ((or _let_6 _let_16))) _let_22 :args (_let_6 true _let_16)))) (let ((_let_25 (forall ((X $$unsorted) (T $$unsorted)) (or (not (tptp.organisation_at_time X T)) (tptp.first_mover X) (tptp.efficient_producer X))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (not _let_7))) (let ((_let_28 (or _let_9 _let_27 _let_15 _let_11))) (let ((_let_29 (forall ((X $$unsorted) (T $$unsorted)) (or (not (tptp.organisation_at_time X T)) (not (tptp.efficient_producer X)) (not (tptp.founding_time X T)) (tptp.has_elaborated_routines X 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_16 1)) (CONG _let_23 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_20)) :args ((or _let_14 _let_16))) _let_22 :args (_let_14 true _let_16)))) (let ((_let_32 (tptp.number_of_routines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.low))) (let ((_let_33 (not _let_8))) (let ((_let_34 (or _let_9 _let_33 _let_15 _let_32))) (let ((_let_35 (forall ((X $$unsorted) (T $$unsorted)) (or (not (tptp.organisation_at_time X T)) (not (tptp.first_mover X)) (not (tptp.founding_time X T)) (tptp.number_of_routines X T tptp.low))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (not _let_32))) (let ((_let_38 (or _let_37 _let_13))) (let ((_let_39 (forall ((X $$unsorted) (T $$unsorted)) (or (not (tptp.number_of_routines X T tptp.low)) (not (tptp.number_of_routines X T tptp.high)))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_9 _let_7 _let_8 (not _let_10)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_9 _let_15 _let_32 _let_33 (not _let_34)))) _let_24 _let_31 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_13 _let_37 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 2)) (CONG _let_23 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_20)) :args ((or _let_12 _let_16))) _let_22 :args (_let_12 true _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.number_of_routines X T tptp.high) false))))) :args (_let_39))) _let_40 :args (_let_38 false _let_39)) :args (_let_37 false _let_12 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.organisation_at_time X T) false))))) :args (_let_35))) _let_36 :args (_let_34 false _let_35)) :args (_let_33 false _let_6 false _let_14 true _let_32 false _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_9 _let_15 _let_11 _let_27 (not _let_28)))) _let_24 _let_31 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_16 3)) _let_22 :args ((not _let_11) true _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.founding_time X T) false))))) :args (_let_29))) _let_30 :args (_let_28 false _let_29)) :args (_let_27 false _let_6 false _let_14 true _let_11 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.organisation_at_time X T) false))))) :args (_let_25))) _let_26 :args (_let_10 false _let_25)) _let_24 :args (false true _let_8 true _let_7 false _let_10 false _let_6)) :args (_let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.51  )
% 0.20/0.51  % SZS output end Proof for MGT041+2
% 0.20/0.51  % cvc5---1.0.5 exiting
% 0.20/0.52  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------