TSTP Solution File: MGT031+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT031+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n013.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 05:21:59 EDT 2022
% Result : CounterSatisfiable 0.20s 0.54s
% Output : Model 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : MGT031+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n013.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 02:38:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.35 Usage: tptp [options] [-file:]file
% 0.12/0.35 -h, -? prints this message.
% 0.12/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.35 -m, -model generate model.
% 0.12/0.35 -p, -proof generate proof.
% 0.12/0.35 -c, -core generate unsat core of named formulas.
% 0.12/0.35 -st, -statistics display statistics.
% 0.12/0.35 -t:timeout set timeout (in second).
% 0.12/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.35 -<param>:<value> configuration parameter and value.
% 0.12/0.35 -o:<output-file> file to place output in.
% 0.20/0.54 % SZS status CounterSatisfiable
% 0.20/0.54 % SZS output start Model
% 0.20/0.54 tff(tptp_fun__i_val_1_type, type, (
% 0.20/0.54 tptp_fun__i_val_1: $i)).
% 0.20/0.54 tff(an_organisation_type, type, (
% 0.20/0.54 an_organisation: $i)).
% 0.20/0.54 tff(tptp_fun__i_val_3_type, type, (
% 0.20/0.54 tptp_fun__i_val_3: $i)).
% 0.20/0.54 tff(first_movers_type, type, (
% 0.20/0.54 first_movers: $i)).
% 0.20/0.54 tff(tptp_fun__i_val_5_type, type, (
% 0.20/0.54 tptp_fun__i_val_5: $i)).
% 0.20/0.54 tff(efficient_producers_type, type, (
% 0.20/0.54 efficient_producers: $i)).
% 0.20/0.54 tff(tptp_fun__i_val_6_type, type, (
% 0.20/0.54 tptp_fun__i_val_6: $i)).
% 0.20/0.54 tff(e_type, type, (
% 0.20/0.54 e: $i)).
% 0.20/0.54 tff(tptp_fun__i_val_9_type, type, (
% 0.20/0.54 tptp_fun__i_val_9: $i)).
% 0.20/0.54 tff(zero_type, type, (
% 0.20/0.54 zero: $i)).
% 0.20/0.54 tff(k!273_type, type, (
% 0.20/0.54 k!273: $i > $i)).
% 0.20/0.54 tff(tptp_fun__i_val_2_type, type, (
% 0.20/0.54 tptp_fun__i_val_2: $i)).
% 0.20/0.54 tff(tptp_fun__i_val_10_type, type, (
% 0.20/0.54 tptp_fun__i_val_10: $i)).
% 0.20/0.54 tff(tptp_fun__i_val_4_type, type, (
% 0.20/0.54 tptp_fun__i_val_4: $i)).
% 0.20/0.54 tff(tptp_fun__i_val_7_type, type, (
% 0.20/0.54 tptp_fun__i_val_7: $i)).
% 0.20/0.54 tff(tptp_fun__i_val_8_type, type, (
% 0.20/0.54 tptp_fun__i_val_8: $i)).
% 0.20/0.54 tff(tptp_fun__i_val_11_type, type, (
% 0.20/0.54 tptp_fun__i_val_11: $i)).
% 0.20/0.54 tff(tptp_fun__i_val_12_type, type, (
% 0.20/0.54 tptp_fun__i_val_12: $i)).
% 0.20/0.54 tff(tptp_fun__i_val_0_type, type, (
% 0.20/0.54 tptp_fun__i_val_0: $i)).
% 0.20/0.54 tff(greater_or_equal_type, type, (
% 0.20/0.54 greater_or_equal: ( $i * $i ) > $o)).
% 0.20/0.54 tff(environment_type, type, (
% 0.20/0.54 environment: $i > $o)).
% 0.20/0.54 tff(in_environment_type, type, (
% 0.20/0.54 in_environment: ( $i * $i ) > $o)).
% 0.20/0.54 tff(appear_type, type, (
% 0.20/0.54 appear: ( $i * $i ) > $i)).
% 0.20/0.54 tff(number_of_organizations_type, type, (
% 0.20/0.54 number_of_organizations: ( $i * $i ) > $i)).
% 0.20/0.54 tff(greater_type, type, (
% 0.20/0.54 greater: ( $i * $i ) > $o)).
% 0.20/0.54 tff(cardinality_at_time_type, type, (
% 0.20/0.54 cardinality_at_time: ( $i * $i ) > $i)).
% 0.20/0.54 tff(subpopulation_type, type, (
% 0.20/0.54 subpopulation: ( $i * $i * $i ) > $o)).
% 0.20/0.54 tff(formula1, axiom,
% 0.20/0.54 an_organisation = $i!val!1).
% 0.20/0.54 tff(formula2, axiom,
% 0.20/0.54 first_movers = $i!val!3).
% 0.20/0.54 tff(formula3, axiom,
% 0.20/0.54 efficient_producers = $i!val!5).
% 0.20/0.54 tff(formula4, axiom,
% 0.20/0.54 e = $i!val!6).
% 0.20/0.54 tff(formula5, axiom,
% 0.20/0.54 zero = $i!val!9).
% 0.20/0.54 tff(formula6, axiom,
% 0.20/0.54 ![X0: $i, X1: $i] : (greater_or_equal(X0, X1) <=> (((k!273(X1) = $i!val!0) & (k!273(X0) = $i!val!0)) | ((k!273(X1) = $i!val!7) & (k!273(X0) = $i!val!4)) | ((k!273(X1) = $i!val!9) & (k!273(X0) = $i!val!9)) | ((k!273(X1) = $i!val!12) & (k!273(X0) = $i!val!12)) | ((k!273(X1) = $i!val!8) & (k!273(X0) = $i!val!9)) | ((k!273(X1) = $i!val!7) & (k!273(X0) = $i!val!2)) | ((k!273(X1) = $i!val!4) & (k!273(X0) = $i!val!4)) | ((k!273(X1) = $i!val!11) & (k!273(X0) = $i!val!11)) | ((k!273(X1) = $i!val!5) & (k!273(X0) = $i!val!5)) | ((k!273(X1) = $i!val!1) & (k!273(X0) = $i!val!1)) | ((k!273(X1) = $i!val!8) & (k!273(X0) = $i!val!8)) | ((k!273(X1) = $i!val!3) & (k!273(X0) = $i!val!3)) | ((k!273(X1) = $i!val!7) & (k!273(X0) = $i!val!7)) | ((k!273(X1) = $i!val!4) & (k!273(X0) = $i!val!2)) | ((k!273(X1) = $i!val!10) & (k!273(X0) = $i!val!10)) | ((k!273(X1) = $i!val!2) & (k!273(X0) = $i!val!2)) | ((k!273(X1) = $i!val!6) & (k!273(X0) = $i!val!6))))).
% 0.20/0.54 tff(formula7, axiom,
% 0.20/0.54 k!273($i!val!5) = $i!val!5).
% 0.20/0.54 tff(formula8, axiom,
% 0.20/0.54 k!273($i!val!12) = $i!val!12).
% 0.20/0.54 tff(formula9, axiom,
% 0.20/0.54 k!273($i!val!9) = $i!val!9).
% 0.20/0.54 tff(formula10, axiom,
% 0.20/0.54 k!273($i!val!8) = $i!val!8).
% 0.20/0.54 tff(formula11, axiom,
% 0.20/0.54 k!273($i!val!0) = $i!val!0).
% 0.20/0.54 tff(formula12, axiom,
% 0.20/0.54 k!273($i!val!1) = $i!val!1).
% 0.20/0.54 tff(formula13, axiom,
% 0.20/0.54 k!273($i!val!4) = $i!val!4).
% 0.20/0.54 tff(formula14, axiom,
% 0.20/0.54 k!273($i!val!2) = $i!val!2).
% 0.20/0.54 tff(formula15, axiom,
% 0.20/0.54 k!273($i!val!6) = $i!val!6).
% 0.20/0.54 tff(formula16, axiom,
% 0.20/0.54 k!273($i!val!10) = $i!val!10).
% 0.20/0.54 tff(formula17, axiom,
% 0.20/0.54 k!273($i!val!7) = $i!val!7).
% 0.20/0.54 tff(formula18, axiom,
% 0.20/0.54 k!273($i!val!11) = $i!val!11).
% 0.20/0.54 tff(formula19, axiom,
% 0.20/0.54 ![X0: $i] : ((~((($i!val!5 = X0)) | (($i!val!12 = X0)) | (($i!val!9 = X0)) | (($i!val!8 = X0)) | (($i!val!0 = X0)) | (($i!val!1 = X0)) | (($i!val!4 = X0)) | (($i!val!2 = X0)) | (($i!val!6 = X0)) | (($i!val!10 = X0)) | (($i!val!7 = X0)) | (($i!val!11 = X0)))) => (k!273(X0) = $i!val!3))).
% 0.20/0.54 tff(formula20, axiom,
% 0.20/0.54 ![X0: $i] : (environment(X0) <=> (ite_t((X0 = $i!val!6), $i!val!6, $i!val!0) = $i!val!0))).
% 0.20/0.54 tff(formula21, axiom,
% 0.20/0.54 ![X0: $i, X1: $i] : (in_environment(X0, X1) <=> ((ite_t((X1 = $i!val!6), $i!val!6, $i!val!0) = $i!val!0) & (k!273(X0) = $i!val!2)))).
% 0.20/0.54 tff(formula22, axiom,
% 0.20/0.54 ![X0: $i, X1: $i] : (appear(X0, X1) = ite_t(((X1 = $i!val!5) & (ite_t((X0 = $i!val!6), $i!val!6, $i!val!0) = $i!val!6)), $i!val!7, ite_t(((X1 = $i!val!3) & (ite_t((X0 = $i!val!6), $i!val!6, $i!val!0) = $i!val!0)), $i!val!4, ite_t(((X1 = $i!val!1) & (ite_t((X0 = $i!val!6), $i!val!6, $i!val!0) = $i!val!0)), $i!val!2, $i!val!0))))).
% 0.20/0.54 tff(formula23, axiom,
% 0.20/0.54 ![X0: $i, X1: $i] : (number_of_organizations(X0, X1) = ite_t(((ite_t((X1 = $i!val!6), $i!val!6, $i!val!0) = $i!val!6) & (k!273(X0) = $i!val!2)), $i!val!8, $i!val!0))).
% 0.20/0.54 tff(formula24, axiom,
% 0.20/0.54 ![X0: $i, X1: $i] : (greater(X0, X1) <=> (((k!273(X1) = $i!val!7) & (k!273(X0) = $i!val!4)) | ((k!273(X1) = $i!val!8) & (k!273(X0) = $i!val!9)) | ((k!273(X1) = $i!val!7) & (k!273(X0) = $i!val!2)) | ((k!273(X1) = $i!val!4) & (k!273(X0) = $i!val!2))))).
% 0.20/0.54 tff(formula25, axiom,
% 0.20/0.54 ![X0: $i, X1: $i] : (cardinality_at_time(X0, X1) = ite_t(((ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!3), $i!val!3, $i!val!0)))))))))))) = $i!val!5) & (k!273(X0) = $i!val!4)), $i!val!12, ite_t(((ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!3), $i!val!3, $i!val!0)))))))))))) = $i!val!3) & (k!273(X0) = $i!val!2)), $i!val!11, ite_t(((ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!10), $i!val!10, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!12), $i!val!12, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!3), $i!val!3, $i!val!0)))))))))))) = $i!val!5) & (k!273(X0) = $i!val!2)), $i!val!10, $i!val!0))))).
% 0.20/0.54 tff(formula26, axiom,
% 0.20/0.54 ![X0: $i, X1: $i, X2: $i] : (subpopulation(X0, X1, X2) <=> $false)).
% 0.20/0.54 % SZS output end Model
%------------------------------------------------------------------------------