TSTP Solution File: MGT037-2 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT037-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% 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 : Sun Sep 18 05:22:06 EDT 2022
% Result : Satisfiable 0.21s 0.53s
% Output : Model 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : MGT037-2 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 03:00:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.21/0.53 % SZS status Satisfiable
% 0.21/0.53 % SZS output start Model
% 0.21/0.53 tff(tptp_fun__i_val_0_type, type, (
% 0.21/0.53 tptp_fun__i_val_0: $i)).
% 0.21/0.53 tff(efficient_producers_type, type, (
% 0.21/0.53 efficient_producers: $i)).
% 0.21/0.53 tff(tptp_fun__i_val_2_type, type, (
% 0.21/0.53 tptp_fun__i_val_2: $i)).
% 0.21/0.53 tff(first_movers_type, type, (
% 0.21/0.53 first_movers: $i)).
% 0.21/0.53 tff(tptp_fun__i_val_4_type, type, (
% 0.21/0.53 tptp_fun__i_val_4: $i)).
% 0.21/0.53 tff(sk3_type, type, (
% 0.21/0.53 sk3: $i)).
% 0.21/0.53 tff(tptp_fun__i_val_5_type, type, (
% 0.21/0.53 tptp_fun__i_val_5: $i)).
% 0.21/0.53 tff(sk4_type, type, (
% 0.21/0.53 sk4: $i)).
% 0.21/0.53 tff(tptp_fun__i_val_7_type, type, (
% 0.21/0.53 tptp_fun__i_val_7: $i)).
% 0.21/0.53 tff(zero_type, type, (
% 0.21/0.53 zero: $i)).
% 0.21/0.53 tff(tptp_fun__i_val_8_type, type, (
% 0.21/0.53 tptp_fun__i_val_8: $i)).
% 0.21/0.53 tff(an_organisation_type, type, (
% 0.21/0.53 an_organisation: $i)).
% 0.21/0.53 tff(tptp_fun__i_val_9_type, type, (
% 0.21/0.53 tptp_fun__i_val_9: $i)).
% 0.21/0.53 tff(k!66_type, type, (
% 0.21/0.53 k!66: $i > $i)).
% 0.21/0.53 tff(in_environment_type, type, (
% 0.21/0.53 in_environment: ( $i * $i ) > $o)).
% 0.21/0.53 tff(tptp_fun__i_val_16_type, type, (
% 0.21/0.53 tptp_fun__i_val_16: $i)).
% 0.21/0.53 tff(tptp_fun__i_val_12_type, type, (
% 0.21/0.53 tptp_fun__i_val_12: $i)).
% 0.21/0.53 tff(tptp_fun__i_val_19_type, type, (
% 0.21/0.53 tptp_fun__i_val_19: $i)).
% 0.21/0.53 tff(resources_type, type, (
% 0.21/0.53 resources: ( $i * $i ) > $i)).
% 0.21/0.53 tff(tptp_fun__i_val_18_type, type, (
% 0.21/0.53 tptp_fun__i_val_18: $i)).
% 0.21/0.53 tff(tptp_fun__i_val_11_type, type, (
% 0.21/0.53 tptp_fun__i_val_11: $i)).
% 0.21/0.53 tff(decreases_type, type, (
% 0.21/0.53 decreases: $i > $o)).
% 0.21/0.53 tff(tptp_fun__i_val_1_type, type, (
% 0.21/0.53 tptp_fun__i_val_1: $i)).
% 0.21/0.53 tff(k!67_type, type, (
% 0.21/0.53 k!67: $i > $i)).
% 0.21/0.53 tff(tptp_fun__i_val_3_type, type, (
% 0.21/0.53 tptp_fun__i_val_3: $i)).
% 0.21/0.53 tff(resilience_type, type, (
% 0.21/0.53 resilience: $i > $i)).
% 0.21/0.53 tff(sk2_type, type, (
% 0.21/0.53 sk2: ( $i * $i ) > $i)).
% 0.21/0.53 tff(sk1_type, type, (
% 0.21/0.53 sk1: ( $i * $i ) > $i)).
% 0.21/0.53 tff(number_of_organizations_type, type, (
% 0.21/0.53 number_of_organizations: ( $i * $i ) > $i)).
% 0.21/0.53 tff(tptp_fun__i_val_20_type, type, (
% 0.21/0.53 tptp_fun__i_val_20: $i)).
% 0.21/0.53 tff(tptp_fun__i_val_6_type, type, (
% 0.21/0.53 tptp_fun__i_val_6: $i)).
% 0.21/0.53 tff(tptp_fun__i_val_17_type, type, (
% 0.21/0.53 tptp_fun__i_val_17: $i)).
% 0.21/0.53 tff(tptp_fun__i_val_10_type, type, (
% 0.21/0.53 tptp_fun__i_val_10: $i)).
% 0.21/0.53 tff(greater_type, type, (
% 0.21/0.53 greater: ( $i * $i ) > $o)).
% 0.21/0.53 tff(tptp_fun__i_val_15_type, type, (
% 0.21/0.53 tptp_fun__i_val_15: $i)).
% 0.21/0.53 tff(tptp_fun__i_val_21_type, type, (
% 0.21/0.53 tptp_fun__i_val_21: $i)).
% 0.21/0.53 tff(tptp_fun__i_val_14_type, type, (
% 0.21/0.53 tptp_fun__i_val_14: $i)).
% 0.21/0.53 tff(tptp_fun__i_val_13_type, type, (
% 0.21/0.53 tptp_fun__i_val_13: $i)).
% 0.21/0.53 tff(subpopulation_type, type, (
% 0.21/0.53 subpopulation: ( $i * $i * $i ) > $o)).
% 0.21/0.53 tff(constant_type, type, (
% 0.21/0.53 constant: $i > $o)).
% 0.21/0.53 tff(greater_or_equal_type, type, (
% 0.21/0.53 greater_or_equal: ( $i * $i ) > $o)).
% 0.21/0.53 tff(environment_type, type, (
% 0.21/0.53 environment: $i > $o)).
% 0.21/0.53 tff(equilibrium_type, type, (
% 0.21/0.53 equilibrium: $i > $i)).
% 0.21/0.53 tff(growth_rate_type, type, (
% 0.21/0.53 growth_rate: ( $i * $i ) > $i)).
% 0.21/0.53 tff(appear_type, type, (
% 0.21/0.53 appear: ( $i * $i ) > $i)).
% 0.21/0.53 tff(cardinality_at_time_type, type, (
% 0.21/0.53 cardinality_at_time: ( $i * $i ) > $i)).
% 0.21/0.53 tff(formula1, axiom,
% 0.21/0.53 efficient_producers = $i!val!0).
% 0.21/0.53 tff(formula2, axiom,
% 0.21/0.53 first_movers = $i!val!2).
% 0.21/0.53 tff(formula3, axiom,
% 0.21/0.53 sk3 = $i!val!4).
% 0.21/0.53 tff(formula4, axiom,
% 0.21/0.53 sk4 = $i!val!5).
% 0.21/0.53 tff(formula5, axiom,
% 0.21/0.53 zero = $i!val!7).
% 0.21/0.53 tff(formula6, axiom,
% 0.21/0.53 an_organisation = $i!val!8).
% 0.21/0.53 tff(formula7, axiom,
% 0.21/0.53 ![X0: $i, X1: $i] : (in_environment(X0, X1) <=> ((k!66(X0) = $i!val!5) | (k!66(X0) = $i!val!9)))).
% 0.21/0.53 tff(formula8, axiom,
% 0.21/0.53 ![X0: $i, X1: $i] : (resources(X0, X1) = ite_t((k!66(X0) = $i!val!9), $i!val!19, ite_t((k!66(X0) = $i!val!5), $i!val!12, $i!val!16)))).
% 0.21/0.53 tff(formula9, axiom,
% 0.21/0.53 ![X0: $i] : (decreases(X0) <=> (ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!19), $i!val!19, ite_t((X0 = $i!val!18), $i!val!18, $i!val!12))) = $i!val!18))).
% 0.21/0.53 tff(formula10, axiom,
% 0.21/0.53 ![X0: $i] : (resilience(X0) = ite_t((k!67(X0) = $i!val!2), $i!val!3, ite_t((k!67(X0) = $i!val!0), $i!val!1, $i!val!16)))).
% 0.21/0.53 tff(formula11, axiom,
% 0.21/0.53 ![X0: $i, X1: $i] : (sk2(X0, X1) = ite_t((k!66(X1) = $i!val!5), $i!val!2, $i!val!16))).
% 0.21/0.53 tff(formula12, axiom,
% 0.21/0.53 ![X0: $i, X1: $i] : (sk1(X0, X1) = ite_t((k!66(X1) = $i!val!5), $i!val!9, $i!val!16))).
% 0.21/0.53 tff(formula13, axiom,
% 0.21/0.53 ![X0: $i, X1: $i] : (number_of_organizations(X0, X1) = ite_t((k!66(X0) = $i!val!9), $i!val!18, ite_t((k!66(X0) = $i!val!5), $i!val!11, $i!val!16)))).
% 0.21/0.53 tff(formula14, axiom,
% 0.21/0.53 ![X0: $i, X1: $i] : (greater(X0, X1) <=> (((k!66(X1) = $i!val!7) & (k!66(X0) = $i!val!10)) | ((k!66(X1) = $i!val!5) & (k!66(X0) = $i!val!9)) | ((k!66(X1) = $i!val!17) & (k!66(X0) = $i!val!7)) | ((k!66(X1) = $i!val!16) & (k!66(X0) = $i!val!7)) | ((k!66(X1) = $i!val!1) & (k!66(X0) = $i!val!3)) | ((k!66(X1) = $i!val!9) & (k!66(X0) = $i!val!6)) | ((k!66(X1) = $i!val!7) & (k!66(X0) = $i!val!20))))).
% 0.21/0.53 tff(formula15, axiom,
% 0.21/0.53 k!67($i!val!19) = $i!val!19).
% 0.21/0.53 tff(formula16, axiom,
% 0.21/0.53 k!67($i!val!1) = $i!val!1).
% 0.21/0.53 tff(formula17, axiom,
% 0.21/0.53 k!67($i!val!3) = $i!val!3).
% 0.21/0.53 tff(formula18, axiom,
% 0.21/0.53 k!67($i!val!7) = $i!val!7).
% 0.21/0.53 tff(formula19, axiom,
% 0.21/0.53 k!67($i!val!17) = $i!val!17).
% 0.21/0.53 tff(formula20, axiom,
% 0.21/0.53 k!67($i!val!11) = $i!val!11).
% 0.21/0.53 tff(formula21, axiom,
% 0.21/0.53 k!67($i!val!15) = $i!val!15).
% 0.21/0.53 tff(formula22, axiom,
% 0.21/0.53 k!67($i!val!4) = $i!val!4).
% 0.21/0.53 tff(formula23, axiom,
% 0.21/0.53 k!67($i!val!8) = $i!val!8).
% 0.21/0.53 tff(formula24, axiom,
% 0.21/0.53 k!67($i!val!9) = $i!val!9).
% 0.21/0.53 tff(formula25, axiom,
% 0.21/0.53 k!67($i!val!10) = $i!val!10).
% 0.21/0.53 tff(formula26, axiom,
% 0.21/0.53 k!67($i!val!16) = $i!val!16).
% 0.21/0.53 tff(formula27, axiom,
% 0.21/0.53 k!67($i!val!18) = $i!val!18).
% 0.21/0.53 tff(formula28, axiom,
% 0.21/0.53 k!67($i!val!2) = $i!val!2).
% 0.21/0.53 tff(formula29, axiom,
% 0.21/0.53 k!67($i!val!20) = $i!val!20).
% 0.21/0.53 tff(formula30, axiom,
% 0.21/0.53 k!67($i!val!0) = $i!val!0).
% 0.21/0.53 tff(formula31, axiom,
% 0.21/0.53 k!67($i!val!21) = $i!val!21).
% 0.21/0.53 tff(formula32, axiom,
% 0.21/0.53 k!67($i!val!14) = $i!val!14).
% 0.21/0.53 tff(formula33, axiom,
% 0.21/0.53 k!67($i!val!6) = $i!val!6).
% 0.21/0.53 tff(formula34, axiom,
% 0.21/0.53 k!67($i!val!12) = $i!val!12).
% 0.21/0.53 tff(formula35, axiom,
% 0.21/0.53 k!67($i!val!13) = $i!val!13).
% 0.21/0.53 tff(formula36, axiom,
% 0.21/0.53 ![X0: $i] : ((~((($i!val!19 = X0)) | (($i!val!1 = X0)) | (($i!val!3 = X0)) | (($i!val!7 = X0)) | (($i!val!17 = X0)) | (($i!val!11 = X0)) | (($i!val!15 = X0)) | (($i!val!4 = X0)) | (($i!val!8 = X0)) | (($i!val!9 = X0)) | (($i!val!10 = X0)) | (($i!val!16 = X0)) | (($i!val!18 = X0)) | (($i!val!2 = X0)) | (($i!val!20 = X0)) | (($i!val!0 = X0)) | (($i!val!21 = X0)) | (($i!val!14 = X0)) | (($i!val!6 = X0)) | (($i!val!12 = X0)) | (($i!val!13 = X0)))) => (k!67(X0) = $i!val!5))).
% 0.21/0.53 tff(formula37, axiom,
% 0.21/0.53 ![X0: $i, X1: $i, X2: $i] : (subpopulation(X0, X1, X2) <=> (((k!67(X2) = $i!val!2) & (k!66(X0) = $i!val!9)) | ((k!67(X2) = $i!val!0) & (k!66(X0) = $i!val!5)) | ((k!67(X2) = $i!val!2) & (k!66(X0) = $i!val!5)) | ((k!67(X2) = $i!val!0) & (k!66(X0) = $i!val!9))))).
% 0.21/0.53 tff(formula38, axiom,
% 0.21/0.53 k!66($i!val!1) = $i!val!1).
% 0.21/0.53 tff(formula39, axiom,
% 0.21/0.53 k!66($i!val!17) = $i!val!17).
% 0.21/0.53 tff(formula40, axiom,
% 0.21/0.53 k!66($i!val!7) = $i!val!7).
% 0.21/0.53 tff(formula41, axiom,
% 0.21/0.53 k!66($i!val!3) = $i!val!3).
% 0.21/0.53 tff(formula42, axiom,
% 0.21/0.53 k!66($i!val!11) = $i!val!11).
% 0.21/0.53 tff(formula43, axiom,
% 0.21/0.53 k!66($i!val!15) = $i!val!15).
% 0.21/0.53 tff(formula44, axiom,
% 0.21/0.53 k!66($i!val!9) = $i!val!9).
% 0.21/0.53 tff(formula45, axiom,
% 0.21/0.53 k!66($i!val!18) = $i!val!18).
% 0.21/0.53 tff(formula46, axiom,
% 0.21/0.53 k!66($i!val!16) = $i!val!16).
% 0.21/0.53 tff(formula47, axiom,
% 0.21/0.53 k!66($i!val!10) = $i!val!10).
% 0.21/0.53 tff(formula48, axiom,
% 0.21/0.53 k!66($i!val!20) = $i!val!20).
% 0.21/0.53 tff(formula49, axiom,
% 0.21/0.53 k!66($i!val!14) = $i!val!14).
% 0.21/0.53 tff(formula50, axiom,
% 0.21/0.53 k!66($i!val!6) = $i!val!6).
% 0.21/0.53 tff(formula51, axiom,
% 0.21/0.53 k!66($i!val!13) = $i!val!13).
% 0.21/0.53 tff(formula52, axiom,
% 0.21/0.53 ![X0: $i] : ((~((($i!val!1 = X0)) | (($i!val!17 = X0)) | (($i!val!7 = X0)) | (($i!val!3 = X0)) | (($i!val!11 = X0)) | (($i!val!15 = X0)) | (($i!val!9 = X0)) | (($i!val!18 = X0)) | (($i!val!16 = X0)) | (($i!val!10 = X0)) | (($i!val!20 = X0)) | (($i!val!14 = X0)) | (($i!val!6 = X0)) | (($i!val!13 = X0)))) => (k!66(X0) = $i!val!5))).
% 0.21/0.53 tff(formula53, axiom,
% 0.21/0.53 ![X0: $i] : (constant(X0) <=> $false)).
% 0.21/0.53 tff(formula54, axiom,
% 0.21/0.53 ![X0: $i, X1: $i] : (greater_or_equal(X0, X1) <=> ((k!66(X1) = $i!val!5) & (X0 = $i!val!6)))).
% 0.21/0.53 tff(formula55, axiom,
% 0.21/0.53 ![X0: $i] : (environment(X0) <=> $true)).
% 0.21/0.53 tff(formula56, axiom,
% 0.21/0.53 ![X0: $i] : (equilibrium(X0) = $i!val!16)).
% 0.21/0.53 tff(formula57, axiom,
% 0.21/0.53 ![X0: $i, X1: $i] : (growth_rate(X0, X1) = ite_t(((k!67(X1) = $i!val!2) & (k!66(X0) = $i!val!9)), $i!val!20, ite_t(((k!67(X1) = $i!val!0) & (k!66(X0) = $i!val!5)), $i!val!15, ite_t(((k!67(X1) = $i!val!2) & (k!66(X0) = $i!val!5)), $i!val!14, ite_t(((k!67(X1) = $i!val!0) & (k!66(X0) = $i!val!9)), $i!val!10, $i!val!16)))))).
% 0.21/0.53 tff(formula58, axiom,
% 0.21/0.53 ![X0: $i, X1: $i] : (appear(X0, X1) = ite_t((X1 = $i!val!8), $i!val!13, ite_t((X1 = $i!val!0), $i!val!6, $i!val!16)))).
% 0.21/0.53 tff(formula59, axiom,
% 0.21/0.53 ![X0: $i, X1: $i] : (cardinality_at_time(X0, X1) = ite_t(((k!67(X1) = $i!val!2) & (k!66(X0) = $i!val!9)), $i!val!21, ite_t(((k!67(X1) = $i!val!0) & (k!66(X0) = $i!val!9)), $i!val!17, ite_t(((k!67(X1) = $i!val!0) & (k!66(X0) = $i!val!5)), $i!val!7, $i!val!16))))).
% 0.21/0.53 % SZS output end Model
%------------------------------------------------------------------------------