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Z3---4.15.1.SAT-Mod.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : NLP006-1 : TPTP v9.0.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n016.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 : Sat Jun 21 05:17:37 AM UTC 2025

% Result   : Satisfiable 0.19s 0.51s
% Output   : Model 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NLP006-1 : TPTP v9.0.0. Released v2.4.0.
% 0.11/0.12  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n016.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   : Thu Jun 19 23:39:02 EDT 2025
% 0.12/0.33  % CPUTime    : 
% 0.19/0.51  % SZS status Satisfiable
% 0.19/0.51  % SZS output start Model
% 0.19/0.51  tff(tptp_fun__i_val_7_type, type, (
% 0.19/0.51     tptp_fun__i_val_7: $i)).
% 0.19/0.51  tff(skc22_type, type, (
% 0.19/0.51     skc22: $i)).
% 0.19/0.51  tff(tptp_fun__i_val_0_type, type, (
% 0.19/0.51     tptp_fun__i_val_0: $i)).
% 0.19/0.51  tff(skc29_type, type, (
% 0.19/0.51     skc29: $i)).
% 0.19/0.51  tff(tptp_fun__i_val_8_type, type, (
% 0.19/0.51     tptp_fun__i_val_8: $i)).
% 0.19/0.51  tff(skc21_type, type, (
% 0.19/0.51     skc21: $i)).
% 0.19/0.51  tff(tptp_fun__i_val_11_type, type, (
% 0.19/0.51     tptp_fun__i_val_11: $i)).
% 0.19/0.51  tff(skc18_type, type, (
% 0.19/0.51     skc18: $i)).
% 0.19/0.51  tff(tptp_fun__i_val_12_type, type, (
% 0.19/0.51     tptp_fun__i_val_12: $i)).
% 0.19/0.51  tff(skc17_type, type, (
% 0.19/0.51     skc17: $i)).
% 0.19/0.51  tff(tptp_fun__i_val_9_type, type, (
% 0.19/0.51     tptp_fun__i_val_9: $i)).
% 0.19/0.51  tff(skc20_type, type, (
% 0.19/0.51     skc20: $i)).
% 0.19/0.51  tff(tptp_fun__i_val_14_type, type, (
% 0.19/0.51     tptp_fun__i_val_14: $i)).
% 0.19/0.51  tff(skc15_type, type, (
% 0.19/0.51     skc15: $i)).
% 0.19/0.51  tff(tptp_fun__i_val_3_type, type, (
% 0.19/0.51     tptp_fun__i_val_3: $i)).
% 0.19/0.51  tff(skc26_type, type, (
% 0.19/0.51     skc26: $i)).
% 0.19/0.51  tff(tptp_fun__i_val_10_type, type, (
% 0.19/0.51     tptp_fun__i_val_10: $i)).
% 0.19/0.51  tff(skc19_type, type, (
% 0.19/0.51     skc19: $i)).
% 0.19/0.51  tff(tptp_fun__i_val_1_type, type, (
% 0.19/0.51     tptp_fun__i_val_1: $i)).
% 0.19/0.51  tff(skc28_type, type, (
% 0.19/0.51     skc28: $i)).
% 0.19/0.51  tff(tptp_fun__i_val_5_type, type, (
% 0.19/0.51     tptp_fun__i_val_5: $i)).
% 0.19/0.51  tff(skc24_type, type, (
% 0.19/0.51     skc24: $i)).
% 0.19/0.51  tff(ssSkC0_type, type, (
% 0.19/0.51     ssSkC0: $o)).
% 0.19/0.51  tff(tptp_fun__i_val_4_type, type, (
% 0.19/0.51     tptp_fun__i_val_4: $i)).
% 0.19/0.51  tff(skc25_type, type, (
% 0.19/0.51     skc25: $i)).
% 0.19/0.51  tff(tptp_fun__i_val_13_type, type, (
% 0.19/0.51     tptp_fun__i_val_13: $i)).
% 0.19/0.51  tff(skc16_type, type, (
% 0.19/0.51     skc16: $i)).
% 0.19/0.51  tff(tptp_fun__i_val_2_type, type, (
% 0.19/0.51     tptp_fun__i_val_2: $i)).
% 0.19/0.51  tff(skc27_type, type, (
% 0.19/0.51     skc27: $i)).
% 0.19/0.51  tff(tptp_fun__i_val_6_type, type, (
% 0.19/0.51     tptp_fun__i_val_6: $i)).
% 0.19/0.51  tff(skc23_type, type, (
% 0.19/0.51     skc23: $i)).
% 0.19/0.51  tff(k!504_type, type, (
% 0.19/0.51     k!504: $i > $i)).
% 0.19/0.51  tff(down_type, type, (
% 0.19/0.51     down: ( $i * $i ) > $o)).
% 0.19/0.51  tff(way_type, type, (
% 0.19/0.51     way: $i > $o)).
% 0.19/0.51  tff(man_type, type, (
% 0.19/0.51     man: $i > $o)).
% 0.19/0.51  tff(old_type, type, (
% 0.19/0.51     old: $i > $o)).
% 0.19/0.51  tff(front_type, type, (
% 0.19/0.51     front: $i > $o)).
% 0.19/0.51  tff(young_type, type, (
% 0.19/0.51     young: $i > $o)).
% 0.19/0.51  tff(furniture_type, type, (
% 0.19/0.51     furniture: $i > $o)).
% 0.19/0.51  tff(lonely_type, type, (
% 0.19/0.51     lonely: $i > $o)).
% 0.19/0.51  tff(chevy_type, type, (
% 0.19/0.51     chevy: $i > $o)).
% 0.19/0.51  tff(in_type, type, (
% 0.19/0.51     in: ( $i * $i ) > $o)).
% 0.19/0.51  tff(white_type, type, (
% 0.19/0.51     white: $i > $o)).
% 0.19/0.51  tff(street_type, type, (
% 0.19/0.51     street: $i > $o)).
% 0.19/0.51  tff(car_type, type, (
% 0.19/0.51     car: $i > $o)).
% 0.19/0.51  tff(event_type, type, (
% 0.19/0.51     event: $i > $o)).
% 0.19/0.51  tff(city_type, type, (
% 0.19/0.51     city: $i > $o)).
% 0.19/0.51  tff(fellow_type, type, (
% 0.19/0.51     fellow: $i > $o)).
% 0.19/0.51  tff(seat_type, type, (
% 0.19/0.51     seat: $i > $o)).
% 0.19/0.51  tff(dirty_type, type, (
% 0.19/0.51     dirty: $i > $o)).
% 0.19/0.51  tff(hollywood_type, type, (
% 0.19/0.51     hollywood: $i > $o)).
% 0.19/0.51  tff(barrel_type, type, (
% 0.19/0.51     barrel: ( $i * $i ) > $o)).
% 0.19/0.51  tff(formula1, axiom,
% 0.19/0.51      skc22 = $i!val!7).
% 0.19/0.51  tff(formula2, axiom,
% 0.19/0.51      skc29 = $i!val!0).
% 0.19/0.51  tff(formula3, axiom,
% 0.19/0.51      skc21 = $i!val!8).
% 0.19/0.51  tff(formula4, axiom,
% 0.19/0.51      skc18 = $i!val!11).
% 0.19/0.51  tff(formula5, axiom,
% 0.19/0.51      skc17 = $i!val!12).
% 0.19/0.51  tff(formula6, axiom,
% 0.19/0.51      skc20 = $i!val!9).
% 0.19/0.51  tff(formula7, axiom,
% 0.19/0.51      skc15 = $i!val!14).
% 0.19/0.51  tff(formula8, axiom,
% 0.19/0.51      skc26 = $i!val!3).
% 0.19/0.51  tff(formula9, axiom,
% 0.19/0.51      skc19 = $i!val!10).
% 0.19/0.51  tff(formula10, axiom,
% 0.19/0.51      skc28 = $i!val!1).
% 0.19/0.51  tff(formula11, axiom,
% 0.19/0.51      skc24 = $i!val!5).
% 0.19/0.51  tff(formula12, axiom,
% 0.19/0.51      ssSkC0 <=> $false).
% 0.19/0.51  tff(formula13, axiom,
% 0.19/0.51      skc25 = $i!val!4).
% 0.19/0.51  tff(formula14, axiom,
% 0.19/0.51      skc16 = $i!val!13).
% 0.19/0.51  tff(formula15, axiom,
% 0.19/0.51      skc27 = $i!val!2).
% 0.19/0.51  tff(formula16, axiom,
% 0.19/0.51      skc23 = $i!val!6).
% 0.19/0.51  tff(formula17, axiom,
% 0.19/0.51      ![X0: $i, X1: $i] : (down(X0, X1) <=> ((k!504(X1) = $i!val!1) & (~(X0 = $i!val!11)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0))))).
% 0.19/0.51  tff(formula18, axiom,
% 0.19/0.51      ![X0: $i] : (way(X0) <=> ((~(X0 = $i!val!11)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0))))).
% 0.19/0.51  tff(formula19, axiom,
% 0.19/0.51      ![X0: $i] : (man(X0) <=> ((k!504(X0) = $i!val!6) | (k!504(X0) = $i!val!7)))).
% 0.19/0.51  tff(formula20, axiom,
% 0.19/0.51      ![X0: $i] : (old(X0) <=> $true)).
% 0.19/0.51  tff(formula21, axiom,
% 0.19/0.51      ![X0: $i] : (front(X0) <=> (~((X0 = $i!val!12) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!0)))))).
% 0.19/0.51  tff(formula22, axiom,
% 0.19/0.51      ![X0: $i] : (young(X0) <=> ((~(k!504(X0) = $i!val!11)) & (~(k!504(X0) = $i!val!10))))).
% 0.19/0.51  tff(formula23, axiom,
% 0.19/0.51      k!504($i!val!0) = $i!val!0).
% 0.19/0.51  tff(formula24, axiom,
% 0.19/0.51      k!504($i!val!8) = $i!val!8).
% 0.19/0.51  tff(formula25, axiom,
% 0.19/0.51      k!504($i!val!11) = $i!val!11).
% 0.19/0.51  tff(formula26, axiom,
% 0.19/0.51      k!504($i!val!14) = $i!val!14).
% 0.19/0.51  tff(formula27, axiom,
% 0.19/0.51      k!504($i!val!9) = $i!val!9).
% 0.19/0.51  tff(formula28, axiom,
% 0.19/0.51      k!504($i!val!12) = $i!val!12).
% 0.19/0.51  tff(formula29, axiom,
% 0.19/0.51      k!504($i!val!10) = $i!val!10).
% 0.19/0.51  tff(formula30, axiom,
% 0.19/0.51      k!504($i!val!3) = $i!val!3).
% 0.19/0.51  tff(formula31, axiom,
% 0.19/0.51      k!504($i!val!1) = $i!val!1).
% 0.19/0.51  tff(formula32, axiom,
% 0.19/0.51      k!504($i!val!5) = $i!val!5).
% 0.19/0.51  tff(formula33, axiom,
% 0.19/0.51      k!504($i!val!4) = $i!val!4).
% 0.19/0.51  tff(formula34, axiom,
% 0.19/0.51      k!504($i!val!13) = $i!val!13).
% 0.19/0.51  tff(formula35, axiom,
% 0.19/0.51      k!504($i!val!2) = $i!val!2).
% 0.19/0.51  tff(formula36, axiom,
% 0.19/0.51      k!504($i!val!6) = $i!val!6).
% 0.19/0.51  tff(formula37, axiom,
% 0.19/0.51      ![X0: $i] : ((~((($i!val!0 = X0)) | (($i!val!8 = X0)) | (($i!val!11 = X0)) | (($i!val!14 = X0)) | (($i!val!9 = X0)) | (($i!val!12 = X0)) | (($i!val!10 = X0)) | (($i!val!3 = X0)) | (($i!val!1 = X0)) | (($i!val!5 = X0)) | (($i!val!4 = X0)) | (($i!val!13 = X0)) | (($i!val!2 = X0)) | (($i!val!6 = X0)))) => (k!504(X0) = $i!val!7))).
% 0.19/0.51  tff(formula38, axiom,
% 0.19/0.51      ![X0: $i] : (furniture(X0) <=> $true)).
% 0.19/0.51  tff(formula39, axiom,
% 0.19/0.51      ![X0: $i] : (lonely(X0) <=> ((~(X0 = $i!val!11)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0))))).
% 0.19/0.51  tff(formula40, axiom,
% 0.19/0.51      ![X0: $i] : (chevy(X0) <=> $true)).
% 0.19/0.51  tff(formula41, axiom,
% 0.19/0.51      ![X0: $i, X1: $i] : (in(X0, X1) <=> (((k!504(X1) = $i!val!6) & (~(X0 = $i!val!12)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!0))) | ((k!504(X1) = $i!val!1) & (X0 = $i!val!0)) | ((k!504(X1) = $i!val!7) & (X0 = $i!val!4) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!0)))))).
% 0.19/0.51  tff(formula42, axiom,
% 0.19/0.51      ![X0: $i] : (white(X0) <=> (X0 = $i!val!2))).
% 0.19/0.51  tff(formula43, axiom,
% 0.19/0.51      ![X0: $i] : (street(X0) <=> $true)).
% 0.19/0.51  tff(formula44, axiom,
% 0.19/0.51      ![X0: $i] : (car(X0) <=> $true)).
% 0.19/0.51  tff(formula45, axiom,
% 0.19/0.51      ![X0: $i] : (event(X0) <=> (~(k!504(X0) = $i!val!14)))).
% 0.19/0.51  tff(formula46, axiom,
% 0.19/0.51      ![X0: $i] : (city(X0) <=> $true)).
% 0.19/0.51  tff(formula47, axiom,
% 0.19/0.51      ![X0: $i] : (fellow(X0) <=> ((~(k!504(X0) = $i!val!12)) & (~(k!504(X0) = $i!val!5)) & (~(k!504(X0) = $i!val!4))))).
% 0.19/0.51  tff(formula48, axiom,
% 0.19/0.51      ![X0: $i] : (seat(X0) <=> (~((X0 = $i!val!8) & (~(X0 = $i!val!0)))))).
% 0.19/0.51  tff(formula49, axiom,
% 0.19/0.51      ![X0: $i] : (dirty(X0) <=> $true)).
% 0.19/0.51  tff(formula50, axiom,
% 0.19/0.51      ![X0: $i] : (hollywood(X0) <=> $true)).
% 0.19/0.51  tff(formula51, axiom,
% 0.19/0.51      ![X0: $i, X1: $i] : (barrel(X0, X1) <=> $true)).
% 0.19/0.51  % SZS output end Model
% 0.19/0.51  % E exiting
%------------------------------------------------------------------------------