TSTP Solution File: MGT033+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT033+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n008.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 05:22:00 EDT 2022
% Result : CounterSatisfiable 0.19s 0.43s
% Output : Model 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT033+1 : TPTP v8.1.0. Released v2.0.0.
% 0.13/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n008.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 02:48:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.19/0.43 % SZS status CounterSatisfiable
% 0.19/0.43 % SZS output start Model
% 0.19/0.43 tff(tptp_fun__i_val_2_type, type, (
% 0.19/0.43 tptp_fun__i_val_2: $i)).
% 0.19/0.43 tff(first_movers_type, type, (
% 0.19/0.43 first_movers: $i)).
% 0.19/0.43 tff(tptp_fun__i_val_4_type, type, (
% 0.19/0.43 tptp_fun__i_val_4: $i)).
% 0.19/0.43 tff(efficient_producers_type, type, (
% 0.19/0.43 efficient_producers: $i)).
% 0.19/0.43 tff(tptp_fun__i_val_10_type, type, (
% 0.19/0.43 tptp_fun__i_val_10: $i)).
% 0.19/0.43 tff(t_type, type, (
% 0.19/0.43 t: $i)).
% 0.19/0.43 tff(tptp_fun__i_val_6_type, type, (
% 0.19/0.43 tptp_fun__i_val_6: $i)).
% 0.19/0.43 tff(an_organisation_type, type, (
% 0.19/0.43 an_organisation: $i)).
% 0.19/0.43 tff(tptp_fun__i_val_7_type, type, (
% 0.19/0.43 tptp_fun__i_val_7: $i)).
% 0.19/0.43 tff(zero_type, type, (
% 0.19/0.43 zero: $i)).
% 0.19/0.43 tff(tptp_fun__i_val_9_type, type, (
% 0.19/0.43 tptp_fun__i_val_9: $i)).
% 0.19/0.43 tff(tptp_fun__i_val_3_type, type, (
% 0.19/0.43 tptp_fun__i_val_3: $i)).
% 0.19/0.43 tff(tptp_fun__i_val_1_type, type, (
% 0.19/0.43 tptp_fun__i_val_1: $i)).
% 0.19/0.43 tff(greater_or_equal_type, type, (
% 0.19/0.43 greater_or_equal: ( $i * $i ) > $o)).
% 0.19/0.43 tff(in_environment_type, type, (
% 0.19/0.43 in_environment: ( $i * $i ) > $o)).
% 0.19/0.43 tff(environment_type, type, (
% 0.19/0.43 environment: $i > $o)).
% 0.19/0.43 tff(tptp_fun__i_val_0_type, type, (
% 0.19/0.43 tptp_fun__i_val_0: $i)).
% 0.19/0.43 tff(k!45_type, type, (
% 0.19/0.43 k!45: $i > $i)).
% 0.19/0.43 tff(tptp_fun__i_val_5_type, type, (
% 0.19/0.43 tptp_fun__i_val_5: $i)).
% 0.19/0.43 tff(appear_type, type, (
% 0.19/0.43 appear: ( $i * $i ) > $i)).
% 0.19/0.43 tff(tptp_fun__i_val_8_type, type, (
% 0.19/0.43 tptp_fun__i_val_8: $i)).
% 0.19/0.43 tff(number_of_organizations_type, type, (
% 0.19/0.43 number_of_organizations: ( $i * $i ) > $i)).
% 0.19/0.43 tff(start_time_type, type, (
% 0.19/0.43 start_time: $i > $i)).
% 0.19/0.43 tff(greater_type, type, (
% 0.19/0.43 greater: ( $i * $i ) > $o)).
% 0.19/0.43 tff(selection_favors_type, type, (
% 0.19/0.43 selection_favors: ( $i * $i * $i ) > $o)).
% 0.19/0.43 tff(subpopulation_type, type, (
% 0.19/0.43 subpopulation: ( $i * $i * $i ) > $o)).
% 0.19/0.43 tff(tptp_fun__i_val_11_type, type, (
% 0.19/0.43 tptp_fun__i_val_11: $i)).
% 0.19/0.43 tff(tptp_fun__i_val_12_type, type, (
% 0.19/0.43 tptp_fun__i_val_12: $i)).
% 0.19/0.43 tff(cardinality_at_time_type, type, (
% 0.19/0.43 cardinality_at_time: ( $i * $i ) > $i)).
% 0.19/0.43 tff(formula1, axiom,
% 0.19/0.43 first_movers = $i!val!2).
% 0.19/0.43 tff(formula2, axiom,
% 0.19/0.43 efficient_producers = $i!val!4).
% 0.19/0.43 tff(formula3, axiom,
% 0.19/0.43 t = $i!val!10).
% 0.19/0.43 tff(formula4, axiom,
% 0.19/0.43 an_organisation = $i!val!6).
% 0.19/0.43 tff(formula5, axiom,
% 0.19/0.43 zero = $i!val!7).
% 0.19/0.43 tff(formula6, axiom,
% 0.19/0.43 ![X0: $i, X1: $i] : (greater_or_equal(X0, X1) <=> (((ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!9), $i!val!9, $i!val!3)))) = $i!val!1) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, $i!val!3)))) = $i!val!3)) | ((ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!9), $i!val!9, $i!val!3)))) = $i!val!3) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, $i!val!3)))) = $i!val!9))))).
% 0.19/0.43 tff(formula7, axiom,
% 0.19/0.43 ![X0: $i, X1: $i] : (in_environment(X0, X1) <=> ((ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, $i!val!3)))) = $i!val!1) | (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, $i!val!3)))) = $i!val!3) | (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, $i!val!3)))) = $i!val!9)))).
% 0.19/0.43 tff(formula8, axiom,
% 0.19/0.43 ![X0: $i] : (environment(X0) <=> $true)).
% 0.19/0.43 tff(formula9, axiom,
% 0.19/0.43 ![X0: $i, X1: $i] : (appear(X0, X1) = ite_t((k!45(X1) = $i!val!6), $i!val!3, ite_t((k!45(X1) = $i!val!4), $i!val!5, ite_t((k!45(X1) = $i!val!2), $i!val!3, $i!val!0))))).
% 0.19/0.43 tff(formula10, axiom,
% 0.19/0.43 ![X0: $i, X1: $i] : (number_of_organizations(X0, X1) = ite_t((ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, $i!val!3)))) = $i!val!1), $i!val!8, $i!val!0))).
% 0.19/0.43 tff(formula11, axiom,
% 0.19/0.43 ![X0: $i] : (start_time(X0) = $i!val!9)).
% 0.19/0.43 tff(formula12, axiom,
% 0.19/0.43 ![X0: $i, X1: $i] : (greater(X0, X1) <=> (((X1 = $i!val!5) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, $i!val!3)))) = $i!val!1)) | ((X1 = $i!val!7) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, $i!val!3)))) = $i!val!7)) | ((X1 = $i!val!8) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, $i!val!3)))) = $i!val!7))))).
% 0.19/0.44 tff(formula13, axiom,
% 0.19/0.44 ![X0: $i, X1: $i, X2: $i] : (selection_favors(X0, X1, X2) <=> ((k!45(X2) = $i!val!4) & (k!45(X1) = $i!val!4) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, $i!val!3)))) = $i!val!1)))).
% 0.19/0.44 tff(formula14, axiom,
% 0.19/0.44 ![X0: $i, X1: $i, X2: $i] : (subpopulation(X0, X1, X2) <=> (((k!45(X2) = $i!val!2) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, $i!val!3)))) = $i!val!9)) | ((k!45(X2) = $i!val!4) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, $i!val!3)))) = $i!val!3)) | ((k!45(X2) = $i!val!2) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, $i!val!3)))) = $i!val!3)) | ((k!45(X2) = $i!val!4) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, $i!val!3)))) = $i!val!9)) | ((k!45(X2) = $i!val!2) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, $i!val!3)))) = $i!val!1)) | ((k!45(X2) = $i!val!4) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, $i!val!3)))) = $i!val!1))))).
% 0.19/0.44 tff(formula15, axiom,
% 0.19/0.44 ![X0: $i, X1: $i] : (cardinality_at_time(X0, X1) = ite_t(((k!45(X1) = $i!val!2) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, $i!val!3)))) = $i!val!1)), $i!val!12, ite_t(((k!45(X1) = $i!val!4) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, $i!val!3)))) = $i!val!10)), $i!val!11, ite_t(((k!45(X1) = $i!val!4) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!9), $i!val!9, $i!val!3)))) = $i!val!1)), $i!val!7, $i!val!0))))).
% 0.19/0.44 tff(formula16, axiom,
% 0.19/0.44 k!45($i!val!10) = $i!val!10).
% 0.19/0.44 tff(formula17, axiom,
% 0.19/0.44 k!45($i!val!7) = $i!val!7).
% 0.19/0.44 tff(formula18, axiom,
% 0.19/0.44 k!45($i!val!12) = $i!val!12).
% 0.19/0.44 tff(formula19, axiom,
% 0.19/0.44 k!45($i!val!6) = $i!val!6).
% 0.19/0.44 tff(formula20, axiom,
% 0.19/0.44 k!45($i!val!5) = $i!val!5).
% 0.19/0.44 tff(formula21, axiom,
% 0.19/0.44 k!45($i!val!11) = $i!val!11).
% 0.19/0.44 tff(formula22, axiom,
% 0.19/0.44 k!45($i!val!2) = $i!val!2).
% 0.19/0.44 tff(formula23, axiom,
% 0.19/0.44 k!45($i!val!4) = $i!val!4).
% 0.19/0.44 tff(formula24, axiom,
% 0.19/0.44 k!45($i!val!8) = $i!val!8).
% 0.19/0.44 tff(formula25, axiom,
% 0.19/0.44 k!45($i!val!9) = $i!val!9).
% 0.19/0.44 tff(formula26, axiom,
% 0.19/0.44 k!45($i!val!1) = $i!val!1).
% 0.19/0.44 tff(formula27, axiom,
% 0.19/0.44 k!45($i!val!0) = $i!val!0).
% 0.19/0.44 tff(formula28, axiom,
% 0.19/0.44 ![X0: $i] : ((~((($i!val!10 = X0)) | (($i!val!7 = X0)) | (($i!val!12 = X0)) | (($i!val!6 = X0)) | (($i!val!5 = X0)) | (($i!val!11 = X0)) | (($i!val!2 = X0)) | (($i!val!4 = X0)) | (($i!val!8 = X0)) | (($i!val!9 = X0)) | (($i!val!1 = X0)) | (($i!val!0 = X0)))) => (k!45(X0) = $i!val!3))).
% 0.19/0.44 % SZS output end Model
%------------------------------------------------------------------------------