TSTP Solution File: MGT019-2 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT019-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n018.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 : Sun Sep 18 05:21:53 EDT 2022
% Result : Satisfiable 0.23s 0.44s
% Output : Model 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : MGT019-2 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Sep 2 02:43:28 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.37 Usage: tptp [options] [-file:]file
% 0.14/0.37 -h, -? prints this message.
% 0.14/0.37 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.37 -m, -model generate model.
% 0.14/0.37 -p, -proof generate proof.
% 0.14/0.37 -c, -core generate unsat core of named formulas.
% 0.14/0.37 -st, -statistics display statistics.
% 0.14/0.37 -t:timeout set timeout (in second).
% 0.14/0.37 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.37 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.37 -<param>:<value> configuration parameter and value.
% 0.14/0.37 -o:<output-file> file to place output in.
% 0.23/0.44 % SZS status Satisfiable
% 0.23/0.44 % SZS output start Model
% 0.23/0.44 tff(tptp_fun__i_val_1_type, type, (
% 0.23/0.44 tptp_fun__i_val_1: $i)).
% 0.23/0.44 tff(first_movers_type, type, (
% 0.23/0.44 first_movers: $i)).
% 0.23/0.44 tff(tptp_fun__i_val_2_type, type, (
% 0.23/0.44 tptp_fun__i_val_2: $i)).
% 0.23/0.44 tff(efficient_producers_type, type, (
% 0.23/0.44 efficient_producers: $i)).
% 0.23/0.44 tff(tptp_fun__i_val_6_type, type, (
% 0.23/0.44 tptp_fun__i_val_6: $i)).
% 0.23/0.44 tff(sk4_type, type, (
% 0.23/0.44 sk4: $i)).
% 0.23/0.44 tff(tptp_fun__i_val_0_type, type, (
% 0.23/0.44 tptp_fun__i_val_0: $i)).
% 0.23/0.44 tff(sk1_type, type, (
% 0.23/0.44 sk1: $i)).
% 0.23/0.44 tff(tptp_fun__i_val_3_type, type, (
% 0.23/0.44 tptp_fun__i_val_3: $i)).
% 0.23/0.44 tff(sk2_type, type, (
% 0.23/0.44 sk2: $i)).
% 0.23/0.44 tff(tptp_fun__i_val_4_type, type, (
% 0.23/0.44 tptp_fun__i_val_4: $i)).
% 0.23/0.44 tff(tptp_fun__i_val_7_type, type, (
% 0.23/0.44 tptp_fun__i_val_7: $i)).
% 0.23/0.44 tff(tptp_fun__i_val_13_type, type, (
% 0.23/0.44 tptp_fun__i_val_13: $i)).
% 0.23/0.44 tff(tptp_fun__i_val_11_type, type, (
% 0.23/0.44 tptp_fun__i_val_11: $i)).
% 0.23/0.44 tff(tptp_fun__i_val_9_type, type, (
% 0.23/0.44 tptp_fun__i_val_9: $i)).
% 0.23/0.44 tff(tptp_fun__i_val_5_type, type, (
% 0.23/0.44 tptp_fun__i_val_5: $i)).
% 0.23/0.44 tff(tptp_fun__i_val_14_type, type, (
% 0.23/0.44 tptp_fun__i_val_14: $i)).
% 0.23/0.44 tff(disbanding_rate_type, type, (
% 0.23/0.44 disbanding_rate: ( $i * $i ) > $i)).
% 0.23/0.44 tff(stable_type, type, (
% 0.23/0.44 stable: $i > $o)).
% 0.23/0.44 tff(tptp_fun__i_val_8_type, type, (
% 0.23/0.44 tptp_fun__i_val_8: $i)).
% 0.23/0.44 tff(tptp_fun__i_val_12_type, type, (
% 0.23/0.44 tptp_fun__i_val_12: $i)).
% 0.23/0.44 tff(tptp_fun__i_val_10_type, type, (
% 0.23/0.44 tptp_fun__i_val_10: $i)).
% 0.23/0.44 tff(greater_or_equal_type, type, (
% 0.23/0.44 greater_or_equal: ( $i * $i ) > $o)).
% 0.23/0.44 tff(in_environment_type, type, (
% 0.23/0.44 in_environment: ( $i * $i ) > $o)).
% 0.23/0.44 tff(environment_type, type, (
% 0.23/0.44 environment: $i > $o)).
% 0.23/0.44 tff(sk5_type, type, (
% 0.23/0.44 sk5: $i > $i)).
% 0.23/0.44 tff(growth_rate_type, type, (
% 0.23/0.44 growth_rate: ( $i * $i ) > $i)).
% 0.23/0.44 tff(founding_rate_type, type, (
% 0.23/0.44 founding_rate: ( $i * $i ) > $i)).
% 0.23/0.44 tff(greater_type, type, (
% 0.23/0.44 greater: ( $i * $i ) > $o)).
% 0.23/0.44 tff(sk3_type, type, (
% 0.23/0.44 sk3: $i > $i)).
% 0.23/0.44 tff(subpopulations_type, type, (
% 0.23/0.44 subpopulations: ( $i * $i * $i * $i ) > $o)).
% 0.23/0.44 tff(formula1, axiom,
% 0.23/0.44 first_movers = $i!val!1).
% 0.23/0.44 tff(formula2, axiom,
% 0.23/0.44 efficient_producers = $i!val!2).
% 0.23/0.44 tff(formula3, axiom,
% 0.23/0.44 sk4 = $i!val!6).
% 0.23/0.44 tff(formula4, axiom,
% 0.23/0.44 sk1 = $i!val!0).
% 0.23/0.44 tff(formula5, axiom,
% 0.23/0.44 sk2 = $i!val!3).
% 0.23/0.44 tff(formula6, axiom,
% 0.23/0.44 ![X0: $i, X1: $i] : (disbanding_rate(X0, X1) = ite_t(((X1 = $i!val!2) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3))))) = $i!val!7)), $i!val!14, ite_t(((X1 = $i!val!1) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3))))) = $i!val!7)), $i!val!13, ite_t(((X1 = $i!val!2) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3))))) = $i!val!3)), $i!val!5, ite_t(((X1 = $i!val!1) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3))))) = $i!val!3)), $i!val!4, $i!val!1)))))).
% 0.23/0.44 tff(formula7, axiom,
% 0.23/0.44 ![X0: $i] : (stable(X0) <=> (ite_t((X0 = $i!val!0), $i!val!0, $i!val!6) = $i!val!6))).
% 0.23/0.44 tff(formula8, axiom,
% 0.23/0.44 ![X0: $i, X1: $i] : (greater_or_equal(X0, X1) <=> (((ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!13), $i!val!13, ite_t((X1 = $i!val!7), $i!val!7, $i!val!3))))) = $i!val!11) & (ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!14), $i!val!14, $i!val!5))))) = $i!val!12)) | ((ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!13), $i!val!13, ite_t((X1 = $i!val!7), $i!val!7, $i!val!3))))) = $i!val!7) & (ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!14), $i!val!14, $i!val!5))))) = $i!val!7))))).
% 0.23/0.44 tff(formula9, axiom,
% 0.23/0.44 ![X0: $i, X1: $i] : (in_environment(X0, X1) <=> ((ite_t((X1 = $i!val!0), $i!val!0, $i!val!6) = $i!val!6) & (ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!14), $i!val!14, $i!val!5))))) = $i!val!7)))).
% 0.23/0.44 tff(formula10, axiom,
% 0.23/0.44 ![X0: $i] : (environment(X0) <=> ((ite_t((X0 = $i!val!0), $i!val!0, $i!val!6) = $i!val!0) | (ite_t((X0 = $i!val!0), $i!val!0, $i!val!6) = $i!val!6)))).
% 0.23/0.44 tff(formula11, axiom,
% 0.23/0.44 ![X0: $i] : (sk5(X0) = ite_t((ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!14), $i!val!14, $i!val!5))))) = $i!val!7), $i!val!7, $i!val!1))).
% 0.23/0.44 tff(formula12, axiom,
% 0.23/0.44 ![X0: $i, X1: $i] : (growth_rate(X0, X1) = ite_t(((X1 = $i!val!1) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3))))) = $i!val!7)), $i!val!10, ite_t(((X1 = $i!val!2) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3))))) = $i!val!7)), $i!val!9, $i!val!1)))).
% 0.23/0.44 tff(formula13, axiom,
% 0.23/0.44 ![X0: $i, X1: $i] : (founding_rate(X0, X1) = ite_t(((X1 = $i!val!1) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3))))) = $i!val!7)), $i!val!12, ite_t(((X1 = $i!val!2) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3))))) = $i!val!7)), $i!val!11, $i!val!1)))).
% 0.23/0.44 tff(formula14, axiom,
% 0.23/0.44 ![X0: $i, X1: $i] : (greater(X0, X1) <=> ((ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!13), $i!val!13, ite_t((X1 = $i!val!7), $i!val!7, $i!val!3))))) = $i!val!11) & (ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!14), $i!val!14, $i!val!5))))) = $i!val!12)))).
% 0.23/0.44 tff(formula15, axiom,
% 0.23/0.44 ![X0: $i] : (sk3(X0) = ite_t((ite_t((X0 = $i!val!0), $i!val!0, $i!val!6) = $i!val!0), $i!val!8, ite_t((ite_t((X0 = $i!val!0), $i!val!0, $i!val!6) = $i!val!6), $i!val!7, $i!val!1)))).
% 0.23/0.44 tff(formula16, axiom,
% 0.23/0.44 ![X0: $i, X1: $i, X2: $i, X3: $i] : (subpopulations(X0, X1, X2, X3) <=> (((X3 = $i!val!1) & (X2 = $i!val!2) & (ite_t((X1 = $i!val!0), $i!val!0, $i!val!6) = $i!val!0) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3))))) = $i!val!3)) | ((X3 = $i!val!1) & (X2 = $i!val!2) & (ite_t((X1 = $i!val!0), $i!val!0, $i!val!6) = $i!val!6) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3))))) = $i!val!7))))).
% 0.23/0.44 % SZS output end Model
%------------------------------------------------------------------------------