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 v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n022.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 : CounterSatisfiable 0.19s 0.42s
% Output : Model 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MGT038+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n022.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 02:49:55 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.
% 0.19/0.42 % SZS status CounterSatisfiable
% 0.19/0.42 % SZS output start Model
% 0.19/0.42 tff(tptp_fun__i_val_0_type, type, (
% 0.19/0.42 tptp_fun__i_val_0: $i)).
% 0.19/0.42 tff(first_movers_type, type, (
% 0.19/0.42 first_movers: $i)).
% 0.19/0.42 tff(tptp_fun__i_val_2_type, type, (
% 0.19/0.42 tptp_fun__i_val_2: $i)).
% 0.19/0.42 tff(efficient_producers_type, type, (
% 0.19/0.42 efficient_producers: $i)).
% 0.19/0.42 tff(tptp_fun__i_val_12_type, type, (
% 0.19/0.42 tptp_fun__i_val_12: $i)).
% 0.19/0.42 tff(s_type, type, (
% 0.19/0.42 s: $i)).
% 0.19/0.42 tff(tptp_fun__i_val_13_type, type, (
% 0.19/0.42 tptp_fun__i_val_13: $i)).
% 0.19/0.42 tff(t2_type, type, (
% 0.19/0.42 t2: $i)).
% 0.19/0.42 tff(tptp_fun__i_val_10_type, type, (
% 0.19/0.42 tptp_fun__i_val_10: $i)).
% 0.19/0.42 tff(zero_type, type, (
% 0.19/0.42 zero: $i)).
% 0.19/0.42 tff(tptp_fun__i_val_8_type, type, (
% 0.19/0.42 tptp_fun__i_val_8: $i)).
% 0.19/0.42 tff(to_type, type, (
% 0.19/0.42 to: $i)).
% 0.19/0.42 tff(tptp_fun__i_val_4_type, type, (
% 0.19/0.42 tptp_fun__i_val_4: $i)).
% 0.19/0.42 tff(e_type, type, (
% 0.19/0.42 e: $i)).
% 0.19/0.42 tff(tptp_fun__i_val_1_type, type, (
% 0.19/0.42 tptp_fun__i_val_1: $i)).
% 0.19/0.42 tff(stable_type, type, (
% 0.19/0.42 stable: $i > $o)).
% 0.19/0.42 tff(tptp_fun__i_val_11_type, type, (
% 0.19/0.42 tptp_fun__i_val_11: $i)).
% 0.19/0.42 tff(tptp_fun__i_val_3_type, type, (
% 0.19/0.42 tptp_fun__i_val_3: $i)).
% 0.19/0.42 tff(tptp_fun__i_val_7_type, type, (
% 0.19/0.42 tptp_fun__i_val_7: $i)).
% 0.19/0.42 tff(tptp_fun__i_val_14_type, type, (
% 0.19/0.42 tptp_fun__i_val_14: $i)).
% 0.19/0.42 tff(tptp_fun__i_val_6_type, type, (
% 0.19/0.42 tptp_fun__i_val_6: $i)).
% 0.19/0.42 tff(tptp_fun__i_val_5_type, type, (
% 0.19/0.42 tptp_fun__i_val_5: $i)).
% 0.19/0.42 tff(tptp_fun__i_val_15_type, type, (
% 0.19/0.42 tptp_fun__i_val_15: $i)).
% 0.19/0.42 tff(in_environment_type, type, (
% 0.19/0.42 in_environment: ( $i * $i ) > $o)).
% 0.19/0.42 tff(finite_set_type, type, (
% 0.19/0.42 finite_set: $i > $o)).
% 0.19/0.42 tff(environment_type, type, (
% 0.19/0.42 environment: $i > $o)).
% 0.19/0.42 tff(contracts_from_type, type, (
% 0.19/0.42 contracts_from: ( $i * $i ) > $o)).
% 0.19/0.42 tff(appear_type, type, (
% 0.19/0.42 appear: ( $i * $i ) > $i)).
% 0.19/0.42 tff(greater_type, type, (
% 0.19/0.42 greater: ( $i * $i ) > $o)).
% 0.19/0.42 tff(cardinality_at_time_type, type, (
% 0.19/0.42 cardinality_at_time: ( $i * $i ) > $i)).
% 0.19/0.42 tff(tptp_fun__i_val_9_type, type, (
% 0.19/0.42 tptp_fun__i_val_9: $i)).
% 0.19/0.42 tff(formula1, axiom,
% 0.19/0.42 first_movers = $i!val!0).
% 0.19/0.42 tff(formula2, axiom,
% 0.19/0.42 efficient_producers = $i!val!2).
% 0.19/0.42 tff(formula3, axiom,
% 0.19/0.42 s = $i!val!12).
% 0.19/0.42 tff(formula4, axiom,
% 0.19/0.42 t2 = $i!val!13).
% 0.19/0.42 tff(formula5, axiom,
% 0.19/0.42 zero = $i!val!10).
% 0.19/0.42 tff(formula6, axiom,
% 0.19/0.42 to = $i!val!8).
% 0.19/0.42 tff(formula7, axiom,
% 0.19/0.42 e = $i!val!4).
% 0.19/0.42 tff(formula8, axiom,
% 0.19/0.42 ![X0: $i] : (stable(X0) <=> (ite_t((X0 = $i!val!1), $i!val!1, $i!val!4) = $i!val!1))).
% 0.19/0.42 tff(formula9, axiom,
% 0.19/0.42 ![X0: $i, X1: $i] : (in_environment(X0, X1) <=> (((ite_t((X1 = $i!val!1), $i!val!1, $i!val!4) = $i!val!1) & (ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!15)) | ((ite_t((X1 = $i!val!1), $i!val!1, $i!val!4) = $i!val!1) & (ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!5)) | ((ite_t((X1 = $i!val!1), $i!val!1, $i!val!4) = $i!val!1) & (ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!3)) | ((ite_t((X1 = $i!val!1), $i!val!1, $i!val!4) = $i!val!1) & (ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!11))))).
% 0.19/0.42 tff(formula10, axiom,
% 0.19/0.42 ![X0: $i] : (finite_set(X0) <=> $true)).
% 0.19/0.42 tff(formula11, axiom,
% 0.19/0.42 ![X0: $i] : (environment(X0) <=> (ite_t((X0 = $i!val!1), $i!val!1, $i!val!4) = $i!val!1))).
% 0.19/0.42 tff(formula12, axiom,
% 0.19/0.42 ![X0: $i, X1: $i] : (contracts_from(X0, X1) <=> ((ite_t((X1 = $i!val!15), $i!val!15, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!11) | (ite_t((X1 = $i!val!15), $i!val!15, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!6)))).
% 0.19/0.43 tff(formula13, axiom,
% 0.19/0.43 ![X0: $i, X1: $i] : (appear(X0, X1) = ite_t(((X1 = $i!val!2) & (ite_t((X0 = $i!val!1), $i!val!1, $i!val!4) = $i!val!1)), $i!val!7, ite_t(((X1 = $i!val!2) & (ite_t((X0 = $i!val!1), $i!val!1, $i!val!4) = $i!val!4)), $i!val!5, ite_t(((X1 = $i!val!0) & (ite_t((X0 = $i!val!1), $i!val!1, $i!val!4) = $i!val!1)), $i!val!3, $i!val!1))))).
% 0.19/0.43 tff(formula14, axiom,
% 0.19/0.43 ![X0: $i, X1: $i] : (greater(X0, X1) <=> (((ite_t((X1 = $i!val!15), $i!val!15, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!6) & (ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!7)) | ((ite_t((X1 = $i!val!15), $i!val!15, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!14) & (ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!6)) | ((ite_t((X1 = $i!val!15), $i!val!15, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!15) & (ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!5)) | ((ite_t((X1 = $i!val!15), $i!val!15, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!14) & (ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!7)) | ((ite_t((X1 = $i!val!15), $i!val!15, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!11) & (ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!3)) | ((ite_t((X1 = $i!val!15), $i!val!15, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!5) & (ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!3)) | ((ite_t((X1 = $i!val!15), $i!val!15, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!15) & (ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!3)) | ((ite_t((X1 = $i!val!15), $i!val!15, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!11) & (ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!5)) | ((ite_t((X1 = $i!val!15), $i!val!15, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!14), $i!val!14, ite_t((X1 = $i!val!11), $i!val!11, ite_t((X1 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!15) & (ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!7), $i!val!7, $i!val!3)))))) = $i!val!11))))).
% 0.19/0.43 tff(formula15, axiom,
% 0.19/0.43 cardinality_at_time($i!val!12, $i!val!13) = $i!val!10).
% 0.19/0.43 tff(formula16, axiom,
% 0.19/0.43 ![X0: $i, X1: $i] : ((~(($i!val!12 = X0) & ($i!val!13 = X1))) => (cardinality_at_time(X0, X1) = $i!val!9))).
% 0.19/0.43 % SZS output end Model
%------------------------------------------------------------------------------