TSTP Solution File: MGT040-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : MGT040-1 : TPTP v8.1.0. Released v2.4.0.
% 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 05:22:08 EDT 2022

% Result   : Satisfiable 0.19s 0.41s
% Output   : Model 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : MGT040-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34  % Computer : n012.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Sep  2 02:49:04 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34  Usage: tptp [options] [-file:]file
% 0.12/0.34    -h, -?       prints this message.
% 0.12/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.12/0.34    -m, -model   generate model.
% 0.12/0.34    -p, -proof   generate proof.
% 0.12/0.34    -c, -core    generate unsat core of named formulas.
% 0.12/0.34    -st, -statistics display statistics.
% 0.12/0.34    -t:timeout   set timeout (in second).
% 0.12/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.12/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34    -<param>:<value> configuration parameter and value.
% 0.12/0.34    -o:<output-file> file to place output in.
% 0.19/0.41  % SZS status Satisfiable
% 0.19/0.41  % SZS output start Model
% 0.19/0.41  tff(tptp_fun__i_val_0_type, type, (
% 0.19/0.41     tptp_fun__i_val_0: $i)).
% 0.19/0.41  tff(first_movers_type, type, (
% 0.19/0.41     first_movers: $i)).
% 0.19/0.41  tff(tptp_fun__i_val_1_type, type, (
% 0.19/0.41     tptp_fun__i_val_1: $i)).
% 0.19/0.41  tff(efficient_producers_type, type, (
% 0.19/0.41     efficient_producers: $i)).
% 0.19/0.41  tff(tptp_fun__i_val_3_type, type, (
% 0.19/0.41     tptp_fun__i_val_3: $i)).
% 0.19/0.41  tff(an_organisation_type, type, (
% 0.19/0.41     an_organisation: $i)).
% 0.19/0.41  tff(tptp_fun__i_val_2_type, type, (
% 0.19/0.41     tptp_fun__i_val_2: $i)).
% 0.19/0.41  tff(sk2_type, type, (
% 0.19/0.41     sk2: $i)).
% 0.19/0.41  tff(propagation_strategy_type, type, (
% 0.19/0.41     propagation_strategy: $i > $o)).
% 0.19/0.41  tff(tptp_fun__i_val_5_type, type, (
% 0.19/0.41     tptp_fun__i_val_5: $i)).
% 0.19/0.41  tff(tptp_fun__i_val_7_type, type, (
% 0.19/0.41     tptp_fun__i_val_7: $i)).
% 0.19/0.41  tff(tptp_fun__i_val_8_type, type, (
% 0.19/0.41     tptp_fun__i_val_8: $i)).
% 0.19/0.41  tff(tptp_fun__i_val_6_type, type, (
% 0.19/0.41     tptp_fun__i_val_6: $i)).
% 0.19/0.41  tff(tptp_fun__i_val_4_type, type, (
% 0.19/0.41     tptp_fun__i_val_4: $i)).
% 0.19/0.41  tff(in_environment_type, type, (
% 0.19/0.41     in_environment: ( $i * $i ) > $o)).
% 0.19/0.41  tff(greater_type, type, (
% 0.19/0.41     greater: ( $i * $i ) > $o)).
% 0.19/0.41  tff(sk1_type, type, (
% 0.19/0.41     sk1: $i > $i)).
% 0.19/0.41  tff(extreme_type, type, (
% 0.19/0.41     extreme: $i > $o)).
% 0.19/0.41  tff(greater_or_equal_type, type, (
% 0.19/0.41     greater_or_equal: ( $i * $i ) > $o)).
% 0.19/0.41  tff(end_time_type, type, (
% 0.19/0.41     end_time: $i > $i)).
% 0.19/0.41  tff(environment_type, type, (
% 0.19/0.41     environment: $i > $o)).
% 0.19/0.41  tff(appear_type, type, (
% 0.19/0.41     appear: ( $i * $i ) > $i)).
% 0.19/0.41  tff(rapid_change_type, type, (
% 0.19/0.41     rapid_change: $i > $o)).
% 0.19/0.41  tff(selection_favors_type, type, (
% 0.19/0.41     selection_favors: ( $i * $i * $i ) > $o)).
% 0.19/0.41  tff(empty_type, type, (
% 0.19/0.41     empty: $i > $o)).
% 0.19/0.41  tff(critical_point_type, type, (
% 0.19/0.41     critical_point: $i > $i)).
% 0.19/0.41  tff(observational_period_type, type, (
% 0.19/0.41     observational_period: $i > $o)).
% 0.19/0.41  tff(formula1, axiom,
% 0.19/0.41      first_movers = $i!val!0).
% 0.19/0.41  tff(formula2, axiom,
% 0.19/0.41      efficient_producers = $i!val!1).
% 0.19/0.41  tff(formula3, axiom,
% 0.19/0.41      an_organisation = $i!val!3).
% 0.19/0.41  tff(formula4, axiom,
% 0.19/0.41      sk2 = $i!val!2).
% 0.19/0.41  tff(formula5, axiom,
% 0.19/0.41      ![X0: $i] : (propagation_strategy(X0) <=> $true)).
% 0.19/0.41  tff(formula6, axiom,
% 0.19/0.41      ![X0: $i, X1: $i] : (in_environment(X0, X1) <=> (((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!2) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!4)) | ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!4) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!5))))).
% 0.19/0.41  tff(formula7, axiom,
% 0.19/0.41      ![X0: $i, X1: $i] : (greater(X0, X1) <=> (((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!4) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!7)) | ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!6) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!5))))).
% 0.19/0.41  tff(formula8, axiom,
% 0.19/0.41      ![X0: $i] : (sk1(X0) = ite_t((ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!2), $i!val!4, $i!val!0))).
% 0.19/0.41  tff(formula9, axiom,
% 0.19/0.41      ![X0: $i] : (extreme(X0) <=> $false)).
% 0.19/0.41  tff(formula10, axiom,
% 0.19/0.41      ![X0: $i, X1: $i] : (greater_or_equal(X0, X1) <=> (((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!4) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!7)) | ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!5) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!5))))).
% 0.19/0.41  tff(formula11, axiom,
% 0.19/0.41      ![X0: $i] : (end_time(X0) = ite_t((ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!4), $i!val!5, $i!val!0))).
% 0.19/0.41  tff(formula12, axiom,
% 0.19/0.41      ![X0: $i] : (environment(X0) <=> (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!4))).
% 0.19/0.41  tff(formula13, axiom,
% 0.19/0.41      ![X0: $i, X1: $i] : (appear(X0, X1) = ite_t(((X1 = $i!val!1) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!4)), $i!val!5, ite_t(((X1 = $i!val!1) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!2)), $i!val!7, ite_t(((X1 = $i!val!0) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!4)), $i!val!5, ite_t(((X1 = $i!val!3) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!4)), $i!val!5, $i!val!0)))))).
% 0.19/0.41  tff(formula14, axiom,
% 0.19/0.41      ![X0: $i] : (rapid_change(X0) <=> (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!2))).
% 0.19/0.41  tff(formula15, axiom,
% 0.19/0.41      ![X0: $i, X1: $i, X2: $i] : (selection_favors(X0, X1, X2) <=> ((X2 = $i!val!0) & (X1 = $i!val!1) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!5)))).
% 0.19/0.41  tff(formula16, axiom,
% 0.19/0.41      ![X0: $i] : (empty(X0) <=> $false)).
% 0.19/0.41  tff(formula17, axiom,
% 0.19/0.41      ![X0: $i] : (critical_point(X0) = ite_t((ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!5), $i!val!8, ite_t((ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!4), $i!val!6, $i!val!0)))).
% 0.19/0.41  tff(formula18, axiom,
% 0.19/0.41      ![X0: $i] : (observational_period(X0) <=> (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!5), $i!val!5, $i!val!2))))) = $i!val!2))).
% 0.19/0.41  % SZS output end Model
%------------------------------------------------------------------------------