TSTP Solution File: GRA021+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GRA021+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n024.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 : Fri Sep 16 20:47:31 EDT 2022
% Result : CounterSatisfiable 0.64s 0.65s
% Output : Model 0.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRA021+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 31 13:29:04 EDT 2022
% 0.12/0.33 % 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.
% 0.64/0.65 % SZS status CounterSatisfiable
% 0.64/0.65 % SZS output start Model
% 0.64/0.65 tff(tptp_fun__i_val_4_type, type, (
% 0.64/0.65 tptp_fun__i_val_4: $i)).
% 0.64/0.65 tff(n5_type, type, (
% 0.64/0.65 n5: $i)).
% 0.64/0.65 tff(tptp_fun__i_val_5_type, type, (
% 0.64/0.65 tptp_fun__i_val_5: $i)).
% 0.64/0.65 tff(n6_type, type, (
% 0.64/0.65 n6: $i)).
% 0.64/0.65 tff(tptp_fun__i_val_0_type, type, (
% 0.64/0.65 tptp_fun__i_val_0: $i)).
% 0.64/0.65 tff(n1_type, type, (
% 0.64/0.65 n1: $i)).
% 0.64/0.65 tff(tptp_fun__i_val_9_type, type, (
% 0.64/0.65 tptp_fun__i_val_9: $i)).
% 0.64/0.65 tff(n10_type, type, (
% 0.64/0.65 n10: $i)).
% 0.64/0.65 tff(tptp_fun__i_val_1_type, type, (
% 0.64/0.65 tptp_fun__i_val_1: $i)).
% 0.64/0.65 tff(n2_type, type, (
% 0.64/0.65 n2: $i)).
% 0.64/0.65 tff(tptp_fun__i_val_10_type, type, (
% 0.64/0.65 tptp_fun__i_val_10: $i)).
% 0.64/0.65 tff(n11_type, type, (
% 0.64/0.65 n11: $i)).
% 0.64/0.65 tff(tptp_fun__i_val_8_type, type, (
% 0.64/0.65 tptp_fun__i_val_8: $i)).
% 0.64/0.65 tff(n9_type, type, (
% 0.64/0.65 n9: $i)).
% 0.64/0.65 tff(tptp_fun__i_val_7_type, type, (
% 0.64/0.65 tptp_fun__i_val_7: $i)).
% 0.64/0.65 tff(n8_type, type, (
% 0.64/0.65 n8: $i)).
% 0.64/0.65 tff(tptp_fun__i_val_3_type, type, (
% 0.64/0.65 tptp_fun__i_val_3: $i)).
% 0.64/0.65 tff(n4_type, type, (
% 0.64/0.65 n4: $i)).
% 0.64/0.65 tff(tptp_fun__i_val_2_type, type, (
% 0.64/0.65 tptp_fun__i_val_2: $i)).
% 0.64/0.65 tff(n3_type, type, (
% 0.64/0.65 n3: $i)).
% 0.64/0.65 tff(tptp_fun__i_val_6_type, type, (
% 0.64/0.65 tptp_fun__i_val_6: $i)).
% 0.64/0.65 tff(n7_type, type, (
% 0.64/0.65 n7: $i)).
% 0.64/0.65 tff(tptp_fun__i_val_11_type, type, (
% 0.64/0.65 tptp_fun__i_val_11: $i)).
% 0.64/0.65 tff(n12_type, type, (
% 0.64/0.65 n12: $i)).
% 0.64/0.65 tff(goal_type, type, (
% 0.64/0.65 goal: $o)).
% 0.64/0.65 tff(k!0_type, type, (
% 0.64/0.65 k!0: $i > $i)).
% 0.64/0.65 tff(red_type, type, (
% 0.64/0.65 red: ( $i * $i ) > $o)).
% 0.64/0.65 tff(green_type, type, (
% 0.64/0.65 green: ( $i * $i ) > $o)).
% 0.64/0.65 tff(less_than_type, type, (
% 0.64/0.65 less_than: ( $i * $i ) > $o)).
% 0.64/0.65 tff(formula1, axiom,
% 0.64/0.65 n5 = $i!val!4).
% 0.64/0.65 tff(formula2, axiom,
% 0.64/0.65 n6 = $i!val!5).
% 0.64/0.65 tff(formula3, axiom,
% 0.64/0.65 n1 = $i!val!0).
% 0.64/0.65 tff(formula4, axiom,
% 0.64/0.65 n10 = $i!val!9).
% 0.64/0.65 tff(formula5, axiom,
% 0.64/0.65 n2 = $i!val!1).
% 0.64/0.65 tff(formula6, axiom,
% 0.64/0.65 n11 = $i!val!10).
% 0.64/0.65 tff(formula7, axiom,
% 0.64/0.65 n9 = $i!val!8).
% 0.64/0.65 tff(formula8, axiom,
% 0.64/0.65 n8 = $i!val!7).
% 0.64/0.65 tff(formula9, axiom,
% 0.64/0.65 n4 = $i!val!3).
% 0.64/0.65 tff(formula10, axiom,
% 0.64/0.65 n3 = $i!val!2).
% 0.64/0.65 tff(formula11, axiom,
% 0.64/0.65 n7 = $i!val!6).
% 0.64/0.65 tff(formula12, axiom,
% 0.64/0.65 n12 = $i!val!11).
% 0.64/0.65 tff(formula13, axiom,
% 0.64/0.65 goal <=> $false).
% 0.64/0.65 tff(formula14, axiom,
% 0.64/0.65 ![X0: $i, X1: $i] : (red(X0, X1) <=> (((k!0(X1) = $i!val!6) & (k!0(X0) = $i!val!8)) | ((k!0(X1) = $i!val!8) & (k!0(X0) = $i!val!10)) | ((k!0(X1) = $i!val!9) & (k!0(X0) = $i!val!11)) | ((k!0(X1) = $i!val!0) & (k!0(X0) = $i!val!3)) | ((k!0(X1) = $i!val!1) & (k!0(X0) = $i!val!5)) | ((k!0(X1) = $i!val!2) & (k!0(X0) = $i!val!6)) | ((k!0(X1) = $i!val!5) & (k!0(X0) = $i!val!6)) | ((k!0(X1) = $i!val!9) & (k!0(X0) = $i!val!10)) | ((k!0(X1) = $i!val!0) & (k!0(X0) = $i!val!2)) | ((k!0(X1) = $i!val!3) & (k!0(X0) = $i!val!5)) | ((k!0(X1) = $i!val!4) & (k!0(X0) = $i!val!6)) | ((k!0(X1) = $i!val!3) & (k!0(X0) = $i!val!4)) | ((k!0(X1) = $i!val!0) & (k!0(X0) = $i!val!1)) | ((k!0(X1) = $i!val!6) & (k!0(X0) = $i!val!10)) | ((k!0(X1) = $i!val!7) & (k!0(X0) = $i!val!10)) | ((k!0(X1) = $i!val!2) & (k!0(X0) = $i!val!7)) | ((k!0(X1) = $i!val!1) & (k!0(X0) = $i!val!7)) | ((k!0(X1) = $i!val!3) & (k!0(X0) = $i!val!11)) | ((k!0(X1) = $i!val!4) & (k!0(X0) = $i!val!9)) | ((k!0(X1) = $i!val!8) & (k!0(X0) = $i!val!11)) | ((k!0(X1) = $i!val!5) & (k!0(X0) = $i!val!9)) | ((k!0(X1) = $i!val!7) & (k!0(X0) = $i!val!11)) | ((k!0(X1) = $i!val!0) & (k!0(X0) = $i!val!6)) | ((k!0(X1) = $i!val!0) & (k!0(X0) = $i!val!7)) | ((k!0(X1) = $i!val!0) & (k!0(X0) = $i!val!8)) | ((k!0(X1) = $i!val!1) & (k!0(X0) = $i!val!6)) | ((k!0(X1) = $i!val!2) & (k!0(X0) = $i!val!9)) | ((k!0(X1) = $i!val!3) & (k!0(X0) = $i!val!9)) | ((k!0(X1) = $i!val!1) & (k!0(X0) = $i!val!8)) | ((k!0(X1) = $i!val!1) & (k!0(X0) = $i!val!9)) | ((k!0(X1) = $i!val!4) & (k!0(X0) = $i!val!10)) | ((k!0(X1) = $i!val!5) & (k!0(X0) = $i!val!10)) | ((k!0(X1) = $i!val!6) & (k!0(X0) = $i!val!11)) | ((k!0(X1) = $i!val!0) & (k!0(X0) = $i!val!9)) | ((k!0(X1) = $i!val!1) & (k!0(X0) = $i!val!11)) | ((k!0(X1) = $i!val!4) & (k!0(X0) = $i!val!8)) | ((k!0(X1) = $i!val!5) & (k!0(X0) = $i!val!8)) | ((k!0(X1) = $i!val!1) & (k!0(X0) = $i!val!2))))).
% 0.64/0.65 tff(formula15, axiom,
% 0.64/0.65 ![X0: $i, X1: $i] : (green(X0, X1) <=> (((k!0(X1) = $i!val!2) & (k!0(X0) = $i!val!8)) | ((k!0(X1) = $i!val!3) & (k!0(X0) = $i!val!10)) | ((k!0(X1) = $i!val!4) & (k!0(X0) = $i!val!11)) | ((k!0(X1) = $i!val!10) & (k!0(X0) = $i!val!11)) | ((k!0(X1) = $i!val!2) & (k!0(X0) = $i!val!4)) | ((k!0(X1) = $i!val!5) & (k!0(X0) = $i!val!7)) | ((k!0(X1) = $i!val!7) & (k!0(X0) = $i!val!9)) | ((k!0(X1) = $i!val!0) & (k!0(X0) = $i!val!4)) | ((k!0(X1) = $i!val!4) & (k!0(X0) = $i!val!5)) | ((k!0(X1) = $i!val!6) & (k!0(X0) = $i!val!7)) | ((k!0(X1) = $i!val!8) & (k!0(X0) = $i!val!9)) | ((k!0(X1) = $i!val!1) & (k!0(X0) = $i!val!10)) | ((k!0(X1) = $i!val!2) & (k!0(X0) = $i!val!11)) | ((k!0(X1) = $i!val!1) & (k!0(X0) = $i!val!3)) | ((k!0(X1) = $i!val!1) & (k!0(X0) = $i!val!4)) | ((k!0(X1) = $i!val!2) & (k!0(X0) = $i!val!5)) | ((k!0(X1) = $i!val!3) & (k!0(X0) = $i!val!6)) | ((k!0(X1) = $i!val!3) & (k!0(X0) = $i!val!7)) | ((k!0(X1) = $i!val!4) & (k!0(X0) = $i!val!7)) | ((k!0(X1) = $i!val!6) & (k!0(X0) = $i!val!9)) | ((k!0(X1) = $i!val!0) & (k!0(X0) = $i!val!5)) | ((k!0(X1) = $i!val!2) & (k!0(X0) = $i!val!10)) | ((k!0(X1) = $i!val!3) & (k!0(X0) = $i!val!8)) | ((k!0(X1) = $i!val!5) & (k!0(X0) = $i!val!11)) | ((k!0(X1) = $i!val!0) & (k!0(X0) = $i!val!10)) | ((k!0(X1) = $i!val!0) & (k!0(X0) = $i!val!11)) | ((k!0(X1) = $i!val!2) & (k!0(X0) = $i!val!3)) | ((k!0(X1) = $i!val!7) & (k!0(X0) = $i!val!8))))).
% 0.66/0.65 tff(formula16, axiom,
% 0.66/0.65 k!0($i!val!5) = $i!val!5).
% 0.66/0.65 tff(formula17, axiom,
% 0.66/0.65 k!0($i!val!0) = $i!val!0).
% 0.66/0.65 tff(formula18, axiom,
% 0.66/0.65 k!0($i!val!9) = $i!val!9).
% 0.66/0.65 tff(formula19, axiom,
% 0.66/0.65 k!0($i!val!1) = $i!val!1).
% 0.66/0.65 tff(formula20, axiom,
% 0.66/0.65 k!0($i!val!10) = $i!val!10).
% 0.66/0.65 tff(formula21, axiom,
% 0.66/0.65 k!0($i!val!8) = $i!val!8).
% 0.66/0.65 tff(formula22, axiom,
% 0.66/0.65 k!0($i!val!7) = $i!val!7).
% 0.66/0.65 tff(formula23, axiom,
% 0.66/0.65 k!0($i!val!3) = $i!val!3).
% 0.66/0.65 tff(formula24, axiom,
% 0.66/0.65 k!0($i!val!2) = $i!val!2).
% 0.66/0.65 tff(formula25, axiom,
% 0.66/0.65 k!0($i!val!6) = $i!val!6).
% 0.66/0.65 tff(formula26, axiom,
% 0.66/0.65 k!0($i!val!11) = $i!val!11).
% 0.66/0.65 tff(formula27, axiom,
% 0.66/0.65 ![X0: $i] : ((~((($i!val!5 = X0)) | (($i!val!0 = X0)) | (($i!val!9 = X0)) | (($i!val!1 = X0)) | (($i!val!10 = X0)) | (($i!val!8 = X0)) | (($i!val!7 = X0)) | (($i!val!3 = X0)) | (($i!val!2 = X0)) | (($i!val!6 = X0)) | (($i!val!11 = X0)))) => (k!0(X0) = $i!val!4))).
% 0.66/0.65 tff(formula28, axiom,
% 0.66/0.65 ![X0: $i, X1: $i] : (less_than(X0, X1) <=> (((k!0(X1) = $i!val!6) & (k!0(X0) = $i!val!8)) | ((k!0(X1) = $i!val!8) & (k!0(X0) = $i!val!10)) | ((k!0(X1) = $i!val!9) & (k!0(X0) = $i!val!11)) | ((k!0(X1) = $i!val!0) & (k!0(X0) = $i!val!3)) | ((k!0(X1) = $i!val!1) & (k!0(X0) = $i!val!5)) | ((k!0(X1) = $i!val!2) & (k!0(X0) = $i!val!6)) | ((k!0(X1) = $i!val!5) & (k!0(X0) = $i!val!6)) | ((k!0(X1) = $i!val!9) & (k!0(X0) = $i!val!10)) | ((k!0(X1) = $i!val!0) & (k!0(X0) = $i!val!2)) | ((k!0(X1) = $i!val!3) & (k!0(X0) = $i!val!5)) | ((k!0(X1) = $i!val!4) & (k!0(X0) = $i!val!6)) | ((k!0(X1) = $i!val!3) & (k!0(X0) = $i!val!4)) | ((k!0(X1) = $i!val!0) & (k!0(X0) = $i!val!1)) | ((k!0(X1) = $i!val!6) & (k!0(X0) = $i!val!10)) | ((k!0(X1) = $i!val!7) & (k!0(X0) = $i!val!10)) | ((k!0(X1) = $i!val!2) & (k!0(X0) = $i!val!8)) | ((k!0(X1) = $i!val!3) & (k!0(X0) = $i!val!10)) | ((k!0(X1) = $i!val!4) & (k!0(X0) = $i!val!11)) | ((k!0(X1) = $i!val!10) & (k!0(X0) = $i!val!11)) | ((k!0(X1) = $i!val!2) & (k!0(X0) = $i!val!4)) | ((k!0(X1) = $i!val!5) & (k!0(X0) = $i!val!7)) | ((k!0(X1) = $i!val!7) & (k!0(X0) = $i!val!9)) | ((k!0(X1) = $i!val!0) & (k!0(X0) = $i!val!4)) | ((k!0(X1) = $i!val!2) & (k!0(X0) = $i!val!7)) | ((k!0(X1) = $i!val!4) & (k!0(X0) = $i!val!5)) | ((k!0(X1) = $i!val!6) & (k!0(X0) = $i!val!7)) | ((k!0(X1) = $i!val!8) & (k!0(X0) = $i!val!9)) | ((k!0(X1) = $i!val!1) & (k!0(X0) = $i!val!7)) | ((k!0(X1) = $i!val!3) & (k!0(X0) = $i!val!11)) | ((k!0(X1) = $i!val!4) & (k!0(X0) = $i!val!9)) | ((k!0(X1) = $i!val!8) & (k!0(X0) = $i!val!11)) | ((k!0(X1) = $i!val!5) & (k!0(X0) = $i!val!9)) | ((k!0(X1) = $i!val!7) & (k!0(X0) = $i!val!11)) | ((k!0(X1) = $i!val!0) & (k!0(X0) = $i!val!6)) | ((k!0(X1) = $i!val!0) & (k!0(X0) = $i!val!7)) | ((k!0(X1) = $i!val!0) & (k!0(X0) = $i!val!8)) | ((k!0(X1) = $i!val!1) & (k!0(X0) = $i!val!6)) | ((k!0(X1) = $i!val!2) & (k!0(X0) = $i!val!9)) | ((k!0(X1) = $i!val!1) & (k!0(X0) = $i!val!10)) | ((k!0(X1) = $i!val!2) & (k!0(X0) = $i!val!11)) | ((k!0(X1) = $i!val!1) & (k!0(X0) = $i!val!3)) | ((k!0(X1) = $i!val!1) & (k!0(X0) = $i!val!4)) | ((k!0(X1) = $i!val!2) & (k!0(X0) = $i!val!5)) | ((k!0(X1) = $i!val!3) & (k!0(X0) = $i!val!6)) | ((k!0(X1) = $i!val!3) & (k!0(X0) = $i!val!7)) | ((k!0(X1) = $i!val!4) & (k!0(X0) = $i!val!7)) | ((k!0(X1) = $i!val!6) & (k!0(X0) = $i!val!9)) | ((k!0(X1) = $i!val!0) & (k!0(X0) = $i!val!5)) | ((k!0(X1) = $i!val!2) & (k!0(X0) = $i!val!10)) | ((k!0(X1) = $i!val!3) & (k!0(X0) = $i!val!8)) | ((k!0(X1) = $i!val!5) & (k!0(X0) = $i!val!11)) | ((k!0(X1) = $i!val!0) & (k!0(X0) = $i!val!10)) | ((k!0(X1) = $i!val!0) & (k!0(X0) = $i!val!11)) | ((k!0(X1) = $i!val!3) & (k!0(X0) = $i!val!9)) | ((k!0(X1) = $i!val!2) & (k!0(X0) = $i!val!3)) | ((k!0(X1) = $i!val!7) & (k!0(X0) = $i!val!8)) | ((k!0(X1) = $i!val!1) & (k!0(X0) = $i!val!8)) | ((k!0(X1) = $i!val!1) & (k!0(X0) = $i!val!9)) | ((k!0(X1) = $i!val!4) & (k!0(X0) = $i!val!10)) | ((k!0(X1) = $i!val!5) & (k!0(X0) = $i!val!10)) | ((k!0(X1) = $i!val!6) & (k!0(X0) = $i!val!11)) | ((k!0(X1) = $i!val!0) & (k!0(X0) = $i!val!9)) | ((k!0(X1) = $i!val!1) & (k!0(X0) = $i!val!11)) | ((k!0(X1) = $i!val!4) & (k!0(X0) = $i!val!8)) | ((k!0(X1) = $i!val!5) & (k!0(X0) = $i!val!8)) | ((k!0(X1) = $i!val!1) & (k!0(X0) = $i!val!2))))).
% 0.66/0.65 % SZS output end Model
%------------------------------------------------------------------------------