TSTP Solution File: MGT034+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT034+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n012.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 05:22:01 EDT 2022
% Result : CounterSatisfiable 2.47s 1.82s
% Output : Model 2.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT034+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n012.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 : Fri Sep 2 02:43:04 EDT 2022
% 0.13/0.35 % 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.
% 2.47/1.82 % SZS status CounterSatisfiable
% 2.47/1.82 % SZS output start Model
% 2.47/1.82 tff(tptp_fun__i_val_3_type, type, (
% 2.47/1.82 tptp_fun__i_val_3: $i)).
% 2.47/1.82 tff(efficient_producers_type, type, (
% 2.47/1.82 efficient_producers: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_5_type, type, (
% 2.47/1.82 tptp_fun__i_val_5: $i)).
% 2.47/1.82 tff(first_movers_type, type, (
% 2.47/1.82 first_movers: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_10_type, type, (
% 2.47/1.82 tptp_fun__i_val_10: $i)).
% 2.47/1.82 tff(zero_type, type, (
% 2.47/1.82 zero: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_1_type, type, (
% 2.47/1.82 tptp_fun__i_val_1: $i)).
% 2.47/1.82 tff(k!1221_type, type, (
% 2.47/1.82 k!1221: $i > $i)).
% 2.47/1.82 tff(tptp_fun__i_val_6_type, type, (
% 2.47/1.82 tptp_fun__i_val_6: $i)).
% 2.47/1.82 tff(in_environment_type, type, (
% 2.47/1.82 in_environment: ( $i * $i ) > $o)).
% 2.47/1.82 tff(tptp_fun__i_val_16_type, type, (
% 2.47/1.82 tptp_fun__i_val_16: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_13_type, type, (
% 2.47/1.82 tptp_fun__i_val_13: $i)).
% 2.47/1.82 tff(decreases_type, type, (
% 2.47/1.82 decreases: $i > $o)).
% 2.47/1.82 tff(tptp_fun__i_val_19_type, type, (
% 2.47/1.82 tptp_fun__i_val_19: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_23_type, type, (
% 2.47/1.82 tptp_fun__i_val_23: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_24_type, type, (
% 2.47/1.82 tptp_fun__i_val_24: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_12_type, type, (
% 2.47/1.82 tptp_fun__i_val_12: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_11_type, type, (
% 2.47/1.82 tptp_fun__i_val_11: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_22_type, type, (
% 2.47/1.82 tptp_fun__i_val_22: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_9_type, type, (
% 2.47/1.82 tptp_fun__i_val_9: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_0_type, type, (
% 2.47/1.82 tptp_fun__i_val_0: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_4_type, type, (
% 2.47/1.82 tptp_fun__i_val_4: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_27_type, type, (
% 2.47/1.82 tptp_fun__i_val_27: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_26_type, type, (
% 2.47/1.82 tptp_fun__i_val_26: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_14_type, type, (
% 2.47/1.82 tptp_fun__i_val_14: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_15_type, type, (
% 2.47/1.82 tptp_fun__i_val_15: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_2_type, type, (
% 2.47/1.82 tptp_fun__i_val_2: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_7_type, type, (
% 2.47/1.82 tptp_fun__i_val_7: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_8_type, type, (
% 2.47/1.82 tptp_fun__i_val_8: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_28_type, type, (
% 2.47/1.82 tptp_fun__i_val_28: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_25_type, type, (
% 2.47/1.82 tptp_fun__i_val_25: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_18_type, type, (
% 2.47/1.82 tptp_fun__i_val_18: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_17_type, type, (
% 2.47/1.82 tptp_fun__i_val_17: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_21_type, type, (
% 2.47/1.82 tptp_fun__i_val_21: $i)).
% 2.47/1.82 tff(tptp_fun__i_val_20_type, type, (
% 2.47/1.82 tptp_fun__i_val_20: $i)).
% 2.47/1.82 tff(founding_rate_type, type, (
% 2.47/1.82 founding_rate: ( $i * $i ) > $i)).
% 2.47/1.82 tff(start_time_type, type, (
% 2.47/1.82 start_time: $i > $i)).
% 2.47/1.82 tff(greater_type, type, (
% 2.47/1.82 greater: ( $i * $i ) > $o)).
% 2.47/1.82 tff(subpopulations_type, type, (
% 2.47/1.82 subpopulations: ( $i * $i * $i * $i ) > $o)).
% 2.47/1.82 tff(greater_or_equal_type, type, (
% 2.47/1.82 greater_or_equal: ( $i * $i ) > $o)).
% 2.47/1.82 tff(environment_type, type, (
% 2.47/1.82 environment: $i > $o)).
% 2.47/1.82 tff(growth_rate_type, type, (
% 2.47/1.82 growth_rate: ( $i * $i ) > $i)).
% 2.47/1.82 tff(appear_type, type, (
% 2.47/1.82 appear: ( $i * $i ) > $i)).
% 2.47/1.82 tff(difference_type, type, (
% 2.47/1.82 difference: ( $i * $i ) > $i)).
% 2.47/1.82 tff(selection_favors_type, type, (
% 2.47/1.82 selection_favors: ( $i * $i * $i ) > $o)).
% 2.47/1.82 tff(critical_point_type, type, (
% 2.47/1.82 critical_point: $i > $i)).
% 2.47/1.82 tff(disbanding_rate_type, type, (
% 2.47/1.82 disbanding_rate: ( $i * $i ) > $i)).
% 2.47/1.82 tff(formula1, axiom,
% 2.47/1.82 efficient_producers = $i!val!3).
% 2.47/1.82 tff(formula2, axiom,
% 2.47/1.82 first_movers = $i!val!5).
% 2.47/1.82 tff(formula3, axiom,
% 2.47/1.82 zero = $i!val!10).
% 2.47/1.82 tff(formula4, axiom,
% 2.47/1.82 ![X0: $i, X1: $i] : (in_environment(X0, X1) <=> ((k!1221(X0) = $i!val!6) | (k!1221(X0) = $i!val!1)))).
% 2.47/1.82 tff(formula5, axiom,
% 2.47/1.82 ![X0: $i] : (decreases(X0) <=> ((X0 = $i!val!13) | (X0 = $i!val!16)))).
% 2.47/1.82 tff(formula6, axiom,
% 2.47/1.82 k!1221($i!val!19) = $i!val!19).
% 2.47/1.82 tff(formula7, axiom,
% 2.47/1.82 k!1221($i!val!23) = $i!val!23).
% 2.47/1.82 tff(formula8, axiom,
% 2.47/1.82 k!1221($i!val!24) = $i!val!24).
% 2.47/1.82 tff(formula9, axiom,
% 2.47/1.82 k!1221($i!val!16) = $i!val!16).
% 2.47/1.82 tff(formula10, axiom,
% 2.47/1.82 k!1221($i!val!13) = $i!val!13).
% 2.47/1.82 tff(formula11, axiom,
% 2.47/1.82 k!1221($i!val!12) = $i!val!12).
% 2.47/1.82 tff(formula12, axiom,
% 2.47/1.82 k!1221($i!val!11) = $i!val!11).
% 2.47/1.82 tff(formula13, axiom,
% 2.47/1.82 k!1221($i!val!22) = $i!val!22).
% 2.47/1.82 tff(formula14, axiom,
% 2.47/1.82 k!1221($i!val!3) = $i!val!3).
% 2.47/1.82 tff(formula15, axiom,
% 2.47/1.82 k!1221($i!val!9) = $i!val!9).
% 2.47/1.82 tff(formula16, axiom,
% 2.47/1.82 k!1221($i!val!0) = $i!val!0).
% 2.47/1.82 tff(formula17, axiom,
% 2.47/1.82 k!1221($i!val!4) = $i!val!4).
% 2.47/1.82 tff(formula18, axiom,
% 2.47/1.82 k!1221($i!val!6) = $i!val!6).
% 2.47/1.82 tff(formula19, axiom,
% 2.47/1.82 k!1221($i!val!27) = $i!val!27).
% 2.47/1.82 tff(formula20, axiom,
% 2.47/1.82 k!1221($i!val!26) = $i!val!26).
% 2.47/1.82 tff(formula21, axiom,
% 2.47/1.82 k!1221($i!val!10) = $i!val!10).
% 2.47/1.82 tff(formula22, axiom,
% 2.47/1.82 k!1221($i!val!14) = $i!val!14).
% 2.47/1.82 tff(formula23, axiom,
% 2.47/1.82 k!1221($i!val!15) = $i!val!15).
% 2.47/1.82 tff(formula24, axiom,
% 2.47/1.82 k!1221($i!val!2) = $i!val!2).
% 2.47/1.82 tff(formula25, axiom,
% 2.47/1.82 k!1221($i!val!7) = $i!val!7).
% 2.47/1.82 tff(formula26, axiom,
% 2.47/1.82 k!1221($i!val!8) = $i!val!8).
% 2.47/1.82 tff(formula27, axiom,
% 2.47/1.82 k!1221($i!val!1) = $i!val!1).
% 2.47/1.82 tff(formula28, axiom,
% 2.47/1.82 k!1221($i!val!28) = $i!val!28).
% 2.47/1.82 tff(formula29, axiom,
% 2.47/1.82 k!1221($i!val!25) = $i!val!25).
% 2.47/1.82 tff(formula30, axiom,
% 2.47/1.82 k!1221($i!val!18) = $i!val!18).
% 2.47/1.82 tff(formula31, axiom,
% 2.47/1.82 k!1221($i!val!17) = $i!val!17).
% 2.47/1.82 tff(formula32, axiom,
% 2.47/1.82 k!1221($i!val!21) = $i!val!21).
% 2.47/1.82 tff(formula33, axiom,
% 2.47/1.82 k!1221($i!val!20) = $i!val!20).
% 2.47/1.82 tff(formula34, axiom,
% 2.47/1.82 ![X0: $i] : ((~((($i!val!19 = X0)) | (($i!val!23 = X0)) | (($i!val!24 = X0)) | (($i!val!16 = X0)) | (($i!val!13 = X0)) | (($i!val!12 = X0)) | (($i!val!11 = X0)) | (($i!val!22 = X0)) | (($i!val!3 = X0)) | (($i!val!9 = X0)) | (($i!val!0 = X0)) | (($i!val!4 = X0)) | (($i!val!6 = X0)) | (($i!val!27 = X0)) | (($i!val!26 = X0)) | (($i!val!10 = X0)) | (($i!val!14 = X0)) | (($i!val!15 = X0)) | (($i!val!2 = X0)) | (($i!val!7 = X0)) | (($i!val!8 = X0)) | (($i!val!1 = X0)) | (($i!val!28 = X0)) | (($i!val!25 = X0)) | (($i!val!18 = X0)) | (($i!val!17 = X0)) | (($i!val!21 = X0)) | (($i!val!20 = X0)))) => (k!1221(X0) = $i!val!5))).
% 2.47/1.82 tff(formula35, axiom,
% 2.47/1.82 ![X0: $i, X1: $i] : (founding_rate(X0, X1) = ite_t(((X1 = $i!val!3) & (k!1221(X0) = $i!val!4)), $i!val!27, ite_t(((X1 = $i!val!3) & (k!1221(X0) = $i!val!2)), $i!val!21, ite_t(((X1 = $i!val!5) & (k!1221(X0) = $i!val!2)), $i!val!20, ite_t(((X1 = $i!val!3) & (k!1221(X0) = $i!val!1)), $i!val!15, ite_t(((X1 = $i!val!5) & (k!1221(X0) = $i!val!1)), $i!val!14, $i!val!26))))))).
% 2.47/1.82 tff(formula36, axiom,
% 2.47/1.82 ![X0: $i] : (start_time(X0) = $i!val!6)).
% 2.47/1.82 tff(formula37, axiom,
% 2.47/1.82 ![X0: $i, X1: $i] : (greater(X0, X1) <=> (((k!1221(X1) = $i!val!1) & (k!1221(X0) = $i!val!2)) | ((k!1221(X1) = $i!val!11) & (k!1221(X0) = $i!val!12)) | ((k!1221(X1) = $i!val!2) & (k!1221(X0) = $i!val!4)) | ((k!1221(X1) = $i!val!1) & (k!1221(X0) = $i!val!4)) | ((k!1221(X1) = $i!val!13) & (k!1221(X0) = $i!val!10))))).
% 2.47/1.82 tff(formula38, axiom,
% 2.47/1.82 ![X0: $i, X1: $i, X2: $i, X3: $i] : (subpopulations(X0, X1, X2, X3) <=> (((ite_t((X3 = $i!val!3), $i!val!3, $i!val!5) = $i!val!3) & (ite_t((X2 = $i!val!3), $i!val!3, $i!val!5) = $i!val!5) & (k!1221(X0) = $i!val!1)) | ((ite_t((X3 = $i!val!3), $i!val!3, $i!val!5) = $i!val!5) & (ite_t((X2 = $i!val!3), $i!val!3, $i!val!5) = $i!val!3) & (k!1221(X0) = $i!val!1))))).
% 2.47/1.82 tff(formula39, axiom,
% 2.47/1.82 ![X0: $i, X1: $i] : (greater_or_equal(X0, X1) <=> (((k!1221(X1) = $i!val!1) & (k!1221(X0) = $i!val!2)) | ((k!1221(X1) = $i!val!14) & (k!1221(X0) = $i!val!14)) | ((k!1221(X1) = $i!val!11) & (k!1221(X0) = $i!val!12)) | ((k!1221(X1) = $i!val!23) & (k!1221(X0) = $i!val!23)) | ((k!1221(X1) = $i!val!2) & (k!1221(X0) = $i!val!2)) | ((k!1221(X1) = $i!val!21) & (k!1221(X0) = $i!val!21)) | ((k!1221(X1) = $i!val!0) & (k!1221(X0) = $i!val!0)) | ((k!1221(X1) = $i!val!25) & (k!1221(X0) = $i!val!25)) | ((k!1221(X1) = $i!val!16) & (k!1221(X0) = $i!val!16)) | ((k!1221(X1) = $i!val!3) & (k!1221(X0) = $i!val!3)) | ((k!1221(X1) = $i!val!2) & (k!1221(X0) = $i!val!4)) | ((k!1221(X1) = $i!val!19) & (k!1221(X0) = $i!val!19)) | ((k!1221(X1) = $i!val!7) & (k!1221(X0) = $i!val!7)) | ((k!1221(X1) = $i!val!10) & (k!1221(X0) = $i!val!10)) | ((k!1221(X1) = $i!val!22) & (k!1221(X0) = $i!val!22)) | ((k!1221(X1) = $i!val!12) & (k!1221(X0) = $i!val!12)) | ((k!1221(X1) = $i!val!15) & (k!1221(X0) = $i!val!15)) | ((k!1221(X1) = $i!val!24) & (k!1221(X0) = $i!val!24)) | ((k!1221(X1) = $i!val!6) & (k!1221(X0) = $i!val!6)) | ((k!1221(X1) = $i!val!18) & (k!1221(X0) = $i!val!18)) | ((k!1221(X1) = $i!val!9) & (k!1221(X0) = $i!val!9)) | ((k!1221(X1) = $i!val!27) & (k!1221(X0) = $i!val!27)) | ((k!1221(X1) = $i!val!11) & (k!1221(X0) = $i!val!11)) | ((k!1221(X1) = $i!val!1) & (k!1221(X0) = $i!val!1)) | ((k!1221(X1) = $i!val!4) & (k!1221(X0) = $i!val!4)) | ((k!1221(X1) = $i!val!17) & (k!1221(X0) = $i!val!17)) | ((k!1221(X1) = $i!val!20) & (k!1221(X0) = $i!val!20)) | ((k!1221(X1) = $i!val!8) & (k!1221(X0) = $i!val!8)) | ((k!1221(X1) = $i!val!13) & (k!1221(X0) = $i!val!13)) | ((k!1221(X1) = $i!val!26) & (k!1221(X0) = $i!val!26)) | ((k!1221(X1) = $i!val!28) & (k!1221(X0) = $i!val!28)) | ((k!1221(X1) = $i!val!5) & (k!1221(X0) = $i!val!5)) | ((k!1221(X1) = $i!val!1) & (k!1221(X0) = $i!val!4)) | ((k!1221(X1) = $i!val!13) & (k!1221(X0) = $i!val!10))))).
% 2.47/1.82 tff(formula40, axiom,
% 2.47/1.82 ![X0: $i] : (environment(X0) <=> $true)).
% 2.47/1.82 tff(formula41, axiom,
% 2.47/1.82 ![X0: $i, X1: $i] : (growth_rate(X0, X1) = ite_t(((ite_t((X1 = $i!val!3), $i!val!3, $i!val!5) = $i!val!3) & (k!1221(X0) = $i!val!4)), $i!val!24, ite_t(((ite_t((X1 = $i!val!3), $i!val!3, $i!val!5) = $i!val!5) & (k!1221(X0) = $i!val!4)), $i!val!23, ite_t(((ite_t((X1 = $i!val!3), $i!val!3, $i!val!5) = $i!val!3) & (k!1221(X0) = $i!val!1)), $i!val!12, ite_t(((ite_t((X1 = $i!val!3), $i!val!3, $i!val!5) = $i!val!5) & (k!1221(X0) = $i!val!1)), $i!val!11, ite_t(((ite_t((X1 = $i!val!3), $i!val!3, $i!val!5) = $i!val!3) & (k!1221(X0) = $i!val!2)), $i!val!8, ite_t(((ite_t((X1 = $i!val!3), $i!val!3, $i!val!5) = $i!val!5) & (k!1221(X0) = $i!val!2)), $i!val!7, $i!val!26)))))))).
% 2.47/1.82 tff(formula42, axiom,
% 2.47/1.82 ![X0: $i, X1: $i] : (appear(X0, X1) = ite_t((X1 = $i!val!5), $i!val!6, ite_t((X1 = $i!val!3), $i!val!4, $i!val!26)))).
% 2.47/1.82 tff(formula43, axiom,
% 2.47/1.82 difference($i!val!11, $i!val!12) = $i!val!13).
% 2.47/1.82 tff(formula44, axiom,
% 2.47/1.82 difference($i!val!14, $i!val!15) = $i!val!16).
% 2.47/1.82 tff(formula45, axiom,
% 2.47/1.82 difference($i!val!17, $i!val!18) = $i!val!19).
% 2.47/1.82 tff(formula46, axiom,
% 2.47/1.82 difference($i!val!20, $i!val!21) = $i!val!22).
% 2.47/1.82 tff(formula47, axiom,
% 2.47/1.82 difference($i!val!23, $i!val!24) = $i!val!25).
% 2.47/1.82 tff(formula48, axiom,
% 2.47/1.82 difference($i!val!26, $i!val!27) = $i!val!28).
% 2.47/1.82 tff(formula49, axiom,
% 2.47/1.82 ![X0: $i, X1: $i] : ((~((($i!val!11 = X0) & ($i!val!12 = X1)) | (($i!val!14 = X0) & ($i!val!15 = X1)) | (($i!val!17 = X0) & ($i!val!18 = X1)) | (($i!val!20 = X0) & ($i!val!21 = X1)) | (($i!val!23 = X0) & ($i!val!24 = X1)) | (($i!val!26 = X0) & ($i!val!27 = X1)))) => (difference(X0, X1) = $i!val!9))).
% 2.47/1.82 tff(formula50, axiom,
% 2.47/1.82 ![X0: $i, X1: $i, X2: $i] : (selection_favors(X0, X1, X2) <=> ((ite_t((X2 = $i!val!3), $i!val!3, $i!val!5) = $i!val!5) & (ite_t((X1 = $i!val!3), $i!val!3, $i!val!5) = $i!val!3) & (k!1221(X0) = $i!val!1)))).
% 2.47/1.82 tff(formula51, axiom,
% 2.47/1.82 ![X0: $i] : (critical_point(X0) = $i!val!1)).
% 2.47/1.82 tff(formula52, axiom,
% 2.47/1.82 ![X0: $i, X1: $i] : (disbanding_rate(X0, X1) = ite_t(((X1 = $i!val!3) & (k!1221(X0) = $i!val!1)), $i!val!18, ite_t(((X1 = $i!val!5) & (k!1221(X0) = $i!val!1)), $i!val!17, $i!val!26)))).
% 2.47/1.82 % SZS output end Model
%------------------------------------------------------------------------------