TSTP Solution File: MGT038-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT038-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n027.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 0.18s 0.39s
% Output : Model 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT038-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Sep 2 03:03:34 EDT 2022
% 0.13/0.33 % 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.
% 0.18/0.39 % SZS status Satisfiable
% 0.18/0.39 % SZS output start Model
% 0.18/0.39 tff(tptp_fun__i_val_0_type, type, (
% 0.18/0.39 tptp_fun__i_val_0: $i)).
% 0.18/0.39 tff(first_movers_type, type, (
% 0.18/0.39 first_movers: $i)).
% 0.18/0.39 tff(tptp_fun__i_val_2_type, type, (
% 0.18/0.39 tptp_fun__i_val_2: $i)).
% 0.18/0.39 tff(efficient_producers_type, type, (
% 0.18/0.39 efficient_producers: $i)).
% 0.18/0.39 tff(tptp_fun__i_val_9_type, type, (
% 0.18/0.39 tptp_fun__i_val_9: $i)).
% 0.18/0.39 tff(s_type, type, (
% 0.18/0.39 s: $i)).
% 0.18/0.39 tff(tptp_fun__i_val_10_type, type, (
% 0.18/0.39 tptp_fun__i_val_10: $i)).
% 0.18/0.39 tff(t2_type, type, (
% 0.18/0.39 t2: $i)).
% 0.18/0.39 tff(tptp_fun__i_val_11_type, type, (
% 0.18/0.39 tptp_fun__i_val_11: $i)).
% 0.18/0.39 tff(zero_type, type, (
% 0.18/0.39 zero: $i)).
% 0.18/0.39 tff(tptp_fun__i_val_12_type, type, (
% 0.18/0.39 tptp_fun__i_val_12: $i)).
% 0.18/0.39 tff(to_type, type, (
% 0.18/0.39 to: $i)).
% 0.18/0.39 tff(tptp_fun__i_val_1_type, type, (
% 0.18/0.39 tptp_fun__i_val_1: $i)).
% 0.18/0.39 tff(sk3_type, type, (
% 0.18/0.39 sk3: $i)).
% 0.18/0.39 tff(tptp_fun__i_val_6_type, type, (
% 0.18/0.39 tptp_fun__i_val_6: $i)).
% 0.18/0.39 tff(e_type, type, (
% 0.18/0.39 e: $i)).
% 0.18/0.39 tff(tptp_fun__i_val_4_type, type, (
% 0.18/0.39 tptp_fun__i_val_4: $i)).
% 0.18/0.39 tff(sk2_type, type, (
% 0.18/0.39 sk2: $i > $i)).
% 0.18/0.39 tff(stable_type, type, (
% 0.18/0.39 stable: $i > $o)).
% 0.18/0.39 tff(environment_type, type, (
% 0.18/0.39 environment: $i > $o)).
% 0.18/0.39 tff(tptp_fun__i_val_7_type, type, (
% 0.18/0.39 tptp_fun__i_val_7: $i)).
% 0.18/0.39 tff(tptp_fun__i_val_5_type, type, (
% 0.18/0.39 tptp_fun__i_val_5: $i)).
% 0.18/0.39 tff(tptp_fun__i_val_3_type, type, (
% 0.18/0.39 tptp_fun__i_val_3: $i)).
% 0.18/0.39 tff(tptp_fun__i_val_8_type, type, (
% 0.18/0.39 tptp_fun__i_val_8: $i)).
% 0.18/0.39 tff(in_environment_type, type, (
% 0.18/0.39 in_environment: ( $i * $i ) > $o)).
% 0.18/0.39 tff(finite_set_type, type, (
% 0.18/0.39 finite_set: $i > $o)).
% 0.18/0.39 tff(contracts_from_type, type, (
% 0.18/0.39 contracts_from: ( $i * $i ) > $o)).
% 0.18/0.39 tff(appear_type, type, (
% 0.18/0.39 appear: ( $i * $i ) > $i)).
% 0.18/0.39 tff(sk1_type, type, (
% 0.18/0.39 sk1: ( $i * $i ) > $i)).
% 0.18/0.39 tff(greater_type, type, (
% 0.18/0.39 greater: ( $i * $i ) > $o)).
% 0.18/0.39 tff(tptp_fun__i_val_13_type, type, (
% 0.18/0.39 tptp_fun__i_val_13: $i)).
% 0.18/0.39 tff(cardinality_at_time_type, type, (
% 0.18/0.39 cardinality_at_time: ( $i * $i ) > $i)).
% 0.18/0.39 tff(formula1, axiom,
% 0.18/0.39 first_movers = $i!val!0).
% 0.18/0.39 tff(formula2, axiom,
% 0.18/0.39 efficient_producers = $i!val!2).
% 0.18/0.39 tff(formula3, axiom,
% 0.18/0.39 s = $i!val!9).
% 0.18/0.39 tff(formula4, axiom,
% 0.18/0.39 t2 = $i!val!10).
% 0.18/0.39 tff(formula5, axiom,
% 0.18/0.39 zero = $i!val!11).
% 0.18/0.39 tff(formula6, axiom,
% 0.18/0.39 to = $i!val!12).
% 0.18/0.39 tff(formula7, axiom,
% 0.18/0.39 sk3 = $i!val!1).
% 0.18/0.39 tff(formula8, axiom,
% 0.18/0.39 e = $i!val!6).
% 0.18/0.39 tff(formula9, axiom,
% 0.18/0.39 ![X0: $i] : (sk2(X0) = ite_t((ite_t((X0 = $i!val!6), $i!val!6, $i!val!1) = $i!val!1), $i!val!4, $i!val!1))).
% 0.18/0.39 tff(formula10, axiom,
% 0.18/0.39 ![X0: $i] : (stable(X0) <=> (ite_t((X0 = $i!val!6), $i!val!6, $i!val!1) = $i!val!1))).
% 0.18/0.39 tff(formula11, axiom,
% 0.18/0.39 ![X0: $i] : (environment(X0) <=> (ite_t((X0 = $i!val!6), $i!val!6, $i!val!1) = $i!val!1))).
% 0.18/0.39 tff(formula12, axiom,
% 0.18/0.39 ![X0: $i, X1: $i] : (in_environment(X0, X1) <=> (((ite_t((X1 = $i!val!6), $i!val!6, $i!val!1) = $i!val!1) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!3), $i!val!3, $i!val!5)))) = $i!val!3)) | ((ite_t((X1 = $i!val!6), $i!val!6, $i!val!1) = $i!val!1) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!3), $i!val!3, $i!val!5)))) = $i!val!7))))).
% 0.18/0.39 tff(formula13, axiom,
% 0.18/0.39 ![X0: $i] : (finite_set(X0) <=> $true)).
% 0.18/0.39 tff(formula14, axiom,
% 0.18/0.39 ![X0: $i, X1: $i] : (contracts_from(X0, X1) <=> (ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!3), $i!val!3, $i!val!5)))) = $i!val!4))).
% 0.18/0.39 tff(formula15, axiom,
% 0.18/0.39 ![X0: $i, X1: $i] : (appear(X0, X1) = ite_t(((X1 = $i!val!2) & (ite_t((X0 = $i!val!6), $i!val!6, $i!val!1) = $i!val!6)), $i!val!7, ite_t(((X1 = $i!val!2) & (ite_t((X0 = $i!val!6), $i!val!6, $i!val!1) = $i!val!1)), $i!val!5, ite_t(((X1 = $i!val!0) & (ite_t((X0 = $i!val!6), $i!val!6, $i!val!1) = $i!val!1)), $i!val!3, $i!val!1))))).
% 0.18/0.39 tff(formula16, axiom,
% 0.18/0.39 ![X0: $i, X1: $i] : (sk1(X0, X1) = ite_t((ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!3), $i!val!3, $i!val!5)))) = $i!val!4), $i!val!8, $i!val!1))).
% 0.18/0.39 tff(formula17, axiom,
% 0.18/0.39 ![X0: $i, X1: $i] : (greater(X0, X1) <=> (((ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!3), $i!val!3, $i!val!5)))) = $i!val!4) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!3), $i!val!3, $i!val!5)))) = $i!val!5)) | ((ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!3), $i!val!3, $i!val!5)))) = $i!val!7) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!3), $i!val!3, $i!val!5)))) = $i!val!3)) | ((ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!3), $i!val!3, $i!val!5)))) = $i!val!8) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!3), $i!val!3, $i!val!5)))) = $i!val!4)) | ((ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!3), $i!val!3, $i!val!5)))) = $i!val!8) & (ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!3), $i!val!3, $i!val!5)))) = $i!val!5))))).
% 0.18/0.39 tff(formula18, axiom,
% 0.18/0.39 cardinality_at_time($i!val!0, $i!val!12) = $i!val!13).
% 0.18/0.39 tff(formula19, axiom,
% 0.18/0.39 ![X0: $i, X1: $i] : ((~(($i!val!0 = X0) & ($i!val!12 = X1))) => (cardinality_at_time(X0, X1) = $i!val!11))).
% 0.18/0.39 % SZS output end Model
%------------------------------------------------------------------------------