TSTP Solution File: SYN526-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN526-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n002.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 : Thu Sep 29 23:56:12 EDT 2022
% Result : Satisfiable 0.18s 0.50s
% Output : Model 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN526-1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n002.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 : Mon Sep 5 05:22:48 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.
% 0.18/0.50 % SZS status Satisfiable
% 0.18/0.50 % SZS output start Model
% 0.18/0.50 tff(tptp_fun__i_val_2_type, type, (
% 0.18/0.50 tptp_fun__i_val_2: $i)).
% 0.18/0.50 tff(a223_type, type, (
% 0.18/0.50 a223: $i)).
% 0.18/0.50 tff(tptp_fun__i_val_1_type, type, (
% 0.18/0.50 tptp_fun__i_val_1: $i)).
% 0.18/0.50 tff(a236_type, type, (
% 0.18/0.50 a236: $i)).
% 0.18/0.50 tff(tptp_fun__i_val_3_type, type, (
% 0.18/0.50 tptp_fun__i_val_3: $i)).
% 0.18/0.50 tff(a249_type, type, (
% 0.18/0.50 a249: $i)).
% 0.18/0.50 tff(tptp_fun__i_val_12_type, type, (
% 0.18/0.50 tptp_fun__i_val_12: $i)).
% 0.18/0.50 tff(a226_type, type, (
% 0.18/0.50 a226: $i)).
% 0.18/0.50 tff(ssSkC3_type, type, (
% 0.18/0.50 ssSkC3: $o)).
% 0.18/0.50 tff(ssSkC4_type, type, (
% 0.18/0.50 ssSkC4: $o)).
% 0.18/0.50 tff(ndr1_0_type, type, (
% 0.18/0.50 ndr1_0: $o)).
% 0.18/0.50 tff(ssSkC8_type, type, (
% 0.18/0.50 ssSkC8: $o)).
% 0.18/0.50 tff(tptp_fun__i_val_16_type, type, (
% 0.18/0.50 tptp_fun__i_val_16: $i)).
% 0.18/0.50 tff(a233_type, type, (
% 0.18/0.50 a233: $i)).
% 0.18/0.50 tff(ssSkC6_type, type, (
% 0.18/0.50 ssSkC6: $o)).
% 0.18/0.50 tff(ssSkC2_type, type, (
% 0.18/0.50 ssSkC2: $o)).
% 0.18/0.50 tff(c3_0_type, type, (
% 0.18/0.50 c3_0: $o)).
% 0.18/0.50 tff(tptp_fun__i_val_4_type, type, (
% 0.18/0.50 tptp_fun__i_val_4: $i)).
% 0.18/0.50 tff(a240_type, type, (
% 0.18/0.50 a240: $i)).
% 0.18/0.50 tff(ssSkC0_type, type, (
% 0.18/0.50 ssSkC0: $o)).
% 0.18/0.50 tff(tptp_fun__i_val_14_type, type, (
% 0.18/0.50 tptp_fun__i_val_14: $i)).
% 0.18/0.50 tff(a228_type, type, (
% 0.18/0.50 a228: $i)).
% 0.18/0.50 tff(tptp_fun__i_val_17_type, type, (
% 0.18/0.50 tptp_fun__i_val_17: $i)).
% 0.18/0.50 tff(a239_type, type, (
% 0.18/0.50 a239: $i)).
% 0.18/0.50 tff(a218_type, type, (
% 0.18/0.50 a218: $i)).
% 0.18/0.50 tff(tptp_fun__i_val_11_type, type, (
% 0.18/0.50 tptp_fun__i_val_11: $i)).
% 0.18/0.50 tff(a229_type, type, (
% 0.18/0.50 a229: $i)).
% 0.18/0.50 tff(tptp_fun__i_val_18_type, type, (
% 0.18/0.50 tptp_fun__i_val_18: $i)).
% 0.18/0.50 tff(a244_type, type, (
% 0.18/0.50 a244: $i)).
% 0.18/0.50 tff(tptp_fun__i_val_8_type, type, (
% 0.18/0.50 tptp_fun__i_val_8: $i)).
% 0.18/0.50 tff(a247_type, type, (
% 0.18/0.50 a247: $i)).
% 0.18/0.50 tff(a230_type, type, (
% 0.18/0.50 a230: $i)).
% 0.18/0.50 tff(a237_type, type, (
% 0.18/0.50 a237: $i)).
% 0.18/0.50 tff(tptp_fun__i_val_5_type, type, (
% 0.18/0.50 tptp_fun__i_val_5: $i)).
% 0.18/0.50 tff(a221_type, type, (
% 0.18/0.50 a221: $i)).
% 0.18/0.50 tff(tptp_fun__i_val_7_type, type, (
% 0.18/0.50 tptp_fun__i_val_7: $i)).
% 0.18/0.50 tff(a242_type, type, (
% 0.18/0.50 a242: $i)).
% 0.18/0.50 tff(ssSkC9_type, type, (
% 0.18/0.50 ssSkC9: $o)).
% 0.18/0.50 tff(a243_type, type, (
% 0.18/0.50 a243: $i)).
% 0.18/0.50 tff(ssSkC5_type, type, (
% 0.18/0.50 ssSkC5: $o)).
% 0.18/0.50 tff(a220_type, type, (
% 0.18/0.50 a220: $i)).
% 0.18/0.50 tff(a219_type, type, (
% 0.18/0.50 a219: $i)).
% 0.18/0.50 tff(tptp_fun__i_val_0_type, type, (
% 0.18/0.50 tptp_fun__i_val_0: $i)).
% 0.18/0.50 tff(a248_type, type, (
% 0.18/0.50 a248: $i)).
% 0.18/0.50 tff(ssSkC7_type, type, (
% 0.18/0.50 ssSkC7: $o)).
% 0.18/0.50 tff(tptp_fun__i_val_6_type, type, (
% 0.18/0.50 tptp_fun__i_val_6: $i)).
% 0.18/0.50 tff(a245_type, type, (
% 0.18/0.50 a245: $i)).
% 0.18/0.50 tff(tptp_fun__i_val_9_type, type, (
% 0.18/0.50 tptp_fun__i_val_9: $i)).
% 0.18/0.50 tff(a225_type, type, (
% 0.18/0.50 a225: $i)).
% 0.18/0.50 tff(a235_type, type, (
% 0.18/0.50 a235: $i)).
% 0.18/0.50 tff(ssSkC1_type, type, (
% 0.18/0.50 ssSkC1: $o)).
% 0.18/0.50 tff(tptp_fun__i_val_19_type, type, (
% 0.18/0.50 tptp_fun__i_val_19: $i)).
% 0.18/0.50 tff(a234_type, type, (
% 0.18/0.50 a234: $i)).
% 0.18/0.50 tff(a231_type, type, (
% 0.18/0.50 a231: $i)).
% 0.18/0.50 tff(a250_type, type, (
% 0.18/0.50 a250: $i)).
% 0.18/0.50 tff(tptp_fun__i_val_15_type, type, (
% 0.18/0.50 tptp_fun__i_val_15: $i)).
% 0.18/0.50 tff(a246_type, type, (
% 0.18/0.50 a246: $i)).
% 0.18/0.50 tff(tptp_fun__i_val_10_type, type, (
% 0.18/0.50 tptp_fun__i_val_10: $i)).
% 0.18/0.50 tff(a232_type, type, (
% 0.18/0.50 a232: $i)).
% 0.18/0.50 tff(tptp_fun__i_val_13_type, type, (
% 0.18/0.50 tptp_fun__i_val_13: $i)).
% 0.18/0.50 tff(a227_type, type, (
% 0.18/0.50 a227: $i)).
% 0.18/0.50 tff(c5_0_type, type, (
% 0.18/0.50 c5_0: $o)).
% 0.18/0.50 tff(c4_0_type, type, (
% 0.18/0.50 c4_0: $o)).
% 0.18/0.50 tff(a238_type, type, (
% 0.18/0.50 a238: $i)).
% 0.18/0.50 tff(c1_0_type, type, (
% 0.18/0.50 c1_0: $o)).
% 0.18/0.50 tff(c2_0_type, type, (
% 0.18/0.50 c2_0: $o)).
% 0.18/0.50 tff(c5_2_type, type, (
% 0.18/0.50 c5_2: ( $i * $i ) > $o)).
% 0.18/0.50 tff(k!517_type, type, (
% 0.18/0.50 k!517: $i > $i)).
% 0.18/0.50 tff(c4_1_type, type, (
% 0.18/0.50 c4_1: $i > $o)).
% 0.18/0.50 tff(c5_1_type, type, (
% 0.18/0.50 c5_1: $i > $o)).
% 0.18/0.50 tff(c1_1_type, type, (
% 0.18/0.50 c1_1: $i > $o)).
% 0.18/0.50 tff(c3_1_type, type, (
% 0.18/0.50 c3_1: $i > $o)).
% 0.18/0.50 tff(c2_1_type, type, (
% 0.18/0.50 c2_1: $i > $o)).
% 0.18/0.50 tff(c3_2_type, type, (
% 0.18/0.50 c3_2: ( $i * $i ) > $o)).
% 0.18/0.50 tff(c2_2_type, type, (
% 0.18/0.50 c2_2: ( $i * $i ) > $o)).
% 0.18/0.50 tff(ssSkP0_type, type, (
% 0.18/0.50 ssSkP0: $i > $o)).
% 0.18/0.50 tff(c4_2_type, type, (
% 0.18/0.50 c4_2: ( $i * $i ) > $o)).
% 0.18/0.50 tff(c1_2_type, type, (
% 0.18/0.50 c1_2: ( $i * $i ) > $o)).
% 0.18/0.50 tff(ndr1_1_type, type, (
% 0.18/0.50 ndr1_1: $i > $o)).
% 0.18/0.50 tff(formula1, axiom,
% 0.18/0.50 a223 = $i!val!2).
% 0.18/0.50 tff(formula2, axiom,
% 0.18/0.50 a236 = $i!val!1).
% 0.18/0.50 tff(formula3, axiom,
% 0.18/0.50 a249 = $i!val!3).
% 0.18/0.50 tff(formula4, axiom,
% 0.18/0.50 a226 = $i!val!12).
% 0.18/0.50 tff(formula5, axiom,
% 0.18/0.50 ssSkC3 <=> $false).
% 0.18/0.50 tff(formula6, axiom,
% 0.18/0.50 ssSkC4 <=> $false).
% 0.18/0.50 tff(formula7, axiom,
% 0.18/0.50 ndr1_0 <=> $true).
% 0.18/0.50 tff(formula8, axiom,
% 0.18/0.50 ssSkC8 <=> $true).
% 0.18/0.50 tff(formula9, axiom,
% 0.18/0.50 a233 = $i!val!16).
% 0.18/0.50 tff(formula10, axiom,
% 0.18/0.50 ssSkC6 <=> $false).
% 0.18/0.50 tff(formula11, axiom,
% 0.18/0.50 ssSkC2 <=> $false).
% 0.18/0.50 tff(formula12, axiom,
% 0.18/0.50 c3_0 <=> $false).
% 0.18/0.50 tff(formula13, axiom,
% 0.18/0.50 a240 = $i!val!4).
% 0.18/0.50 tff(formula14, axiom,
% 0.18/0.50 ssSkC0 <=> $true).
% 0.18/0.50 tff(formula15, axiom,
% 0.18/0.50 a228 = $i!val!14).
% 0.18/0.50 tff(formula16, axiom,
% 0.18/0.50 a239 = $i!val!17).
% 0.18/0.50 tff(formula17, axiom,
% 0.18/0.50 a218 = $i!val!16).
% 0.18/0.50 tff(formula18, axiom,
% 0.18/0.50 a229 = $i!val!11).
% 0.18/0.50 tff(formula19, axiom,
% 0.18/0.50 a244 = $i!val!18).
% 0.18/0.50 tff(formula20, axiom,
% 0.18/0.50 a247 = $i!val!8).
% 0.18/0.50 tff(formula21, axiom,
% 0.18/0.50 a230 = $i!val!16).
% 0.18/0.50 tff(formula22, axiom,
% 0.18/0.50 a237 = $i!val!16).
% 0.18/0.50 tff(formula23, axiom,
% 0.18/0.50 a221 = $i!val!5).
% 0.18/0.50 tff(formula24, axiom,
% 0.18/0.50 a242 = $i!val!7).
% 0.18/0.50 tff(formula25, axiom,
% 0.18/0.50 ssSkC9 <=> $false).
% 0.18/0.50 tff(formula26, axiom,
% 0.18/0.50 a243 = $i!val!16).
% 0.18/0.50 tff(formula27, axiom,
% 0.18/0.50 ssSkC5 <=> $false).
% 0.18/0.50 tff(formula28, axiom,
% 0.18/0.50 a220 = $i!val!16).
% 0.18/0.50 tff(formula29, axiom,
% 0.18/0.50 a219 = $i!val!16).
% 0.18/0.50 tff(formula30, axiom,
% 0.18/0.50 a248 = $i!val!0).
% 0.18/0.50 tff(formula31, axiom,
% 0.18/0.50 ssSkC7 <=> $false).
% 0.18/0.50 tff(formula32, axiom,
% 0.18/0.50 a245 = $i!val!6).
% 0.18/0.50 tff(formula33, axiom,
% 0.18/0.50 a225 = $i!val!9).
% 0.18/0.50 tff(formula34, axiom,
% 0.18/0.50 a235 = $i!val!16).
% 0.18/0.50 tff(formula35, axiom,
% 0.18/0.50 ssSkC1 <=> $false).
% 0.18/0.50 tff(formula36, axiom,
% 0.18/0.50 a234 = $i!val!19).
% 0.18/0.50 tff(formula37, axiom,
% 0.18/0.50 a231 = $i!val!16).
% 0.18/0.50 tff(formula38, axiom,
% 0.18/0.50 a250 = $i!val!16).
% 0.18/0.50 tff(formula39, axiom,
% 0.18/0.50 a246 = $i!val!15).
% 0.18/0.50 tff(formula40, axiom,
% 0.18/0.50 a232 = $i!val!10).
% 0.18/0.50 tff(formula41, axiom,
% 0.18/0.50 a227 = $i!val!13).
% 0.18/0.50 tff(formula42, axiom,
% 0.18/0.50 c5_0 <=> $true).
% 0.18/0.50 tff(formula43, axiom,
% 0.18/0.50 c4_0 <=> $false).
% 0.18/0.50 tff(formula44, axiom,
% 0.18/0.50 a238 = $i!val!16).
% 0.18/0.50 tff(formula45, axiom,
% 0.18/0.50 c1_0 <=> $true).
% 0.18/0.50 tff(formula46, axiom,
% 0.18/0.50 c2_0 <=> $false).
% 0.18/0.50 tff(formula47, axiom,
% 0.18/0.50 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> $false)).
% 0.18/0.50 tff(formula48, axiom,
% 0.18/0.50 ![X0: $i] : (c4_1(X0) <=> (k!517(X0) = $i!val!9))).
% 0.18/0.50 tff(formula49, axiom,
% 0.18/0.50 ![X0: $i] : (c5_1(X0) <=> ((k!517(X0) = $i!val!11) | (k!517(X0) = $i!val!6) | (k!517(X0) = $i!val!4) | (k!517(X0) = $i!val!8) | (k!517(X0) = $i!val!10) | (k!517(X0) = $i!val!2) | (k!517(X0) = $i!val!5)))).
% 0.18/0.50 tff(formula50, axiom,
% 0.18/0.50 k!517($i!val!9) = $i!val!9).
% 0.18/0.50 tff(formula51, axiom,
% 0.18/0.50 k!517($i!val!1) = $i!val!1).
% 0.18/0.50 tff(formula52, axiom,
% 0.18/0.50 k!517($i!val!7) = $i!val!7).
% 0.18/0.50 tff(formula53, axiom,
% 0.18/0.50 k!517($i!val!5) = $i!val!5).
% 0.18/0.50 tff(formula54, axiom,
% 0.18/0.50 k!517($i!val!6) = $i!val!6).
% 0.18/0.50 tff(formula55, axiom,
% 0.18/0.50 k!517($i!val!11) = $i!val!11).
% 0.18/0.50 tff(formula56, axiom,
% 0.18/0.50 k!517($i!val!8) = $i!val!8).
% 0.18/0.50 tff(formula57, axiom,
% 0.18/0.50 k!517($i!val!10) = $i!val!10).
% 0.18/0.50 tff(formula58, axiom,
% 0.18/0.50 k!517($i!val!4) = $i!val!4).
% 0.18/0.50 tff(formula59, axiom,
% 0.18/0.50 k!517($i!val!2) = $i!val!2).
% 0.18/0.50 tff(formula60, axiom,
% 0.18/0.50 ![X0: $i] : ((~((($i!val!9 = X0)) | (($i!val!1 = X0)) | (($i!val!7 = X0)) | (($i!val!5 = X0)) | (($i!val!6 = X0)) | (($i!val!11 = X0)) | (($i!val!8 = X0)) | (($i!val!10 = X0)) | (($i!val!4 = X0)) | (($i!val!2 = X0)))) => (k!517(X0) = $i!val!0))).
% 0.18/0.50 tff(formula61, axiom,
% 0.18/0.50 ![X0: $i] : (c1_1(X0) <=> ((k!517(X0) = $i!val!4) | (k!517(X0) = $i!val!8) | (k!517(X0) = $i!val!10) | (k!517(X0) = $i!val!2) | (k!517(X0) = $i!val!5)))).
% 0.18/0.50 tff(formula62, axiom,
% 0.18/0.50 ![X0: $i] : (c3_1(X0) <=> ((k!517(X0) = $i!val!1) | (k!517(X0) = $i!val!0) | (k!517(X0) = $i!val!11) | (k!517(X0) = $i!val!6)))).
% 0.18/0.50 tff(formula63, axiom,
% 0.18/0.50 ![X0: $i] : (c2_1(X0) <=> $false)).
% 0.18/0.50 tff(formula64, axiom,
% 0.18/0.50 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> ((k!517(X1) = $i!val!1) & (ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!16), $i!val!16, ite_t((X0 = $i!val!19), $i!val!19, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!3), $i!val!3, $i!val!17)))))))) = $i!val!13)))).
% 0.18/0.50 tff(formula65, axiom,
% 0.18/0.50 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> ((k!517(X1) = $i!val!0) & (ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!16), $i!val!16, ite_t((X0 = $i!val!19), $i!val!19, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!3), $i!val!3, $i!val!17)))))))) = $i!val!3)))).
% 0.18/0.51 tff(formula66, axiom,
% 0.18/0.51 ![X0: $i] : (ssSkP0(X0) <=> ((k!517(X0) = $i!val!0) | (k!517(X0) = $i!val!11) | (k!517(X0) = $i!val!6) | (k!517(X0) = $i!val!4) | (k!517(X0) = $i!val!8) | (k!517(X0) = $i!val!10) | (k!517(X0) = $i!val!2) | (k!517(X0) = $i!val!5)))).
% 0.18/0.51 tff(formula67, axiom,
% 0.18/0.51 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((k!517(X1) = $i!val!7) & (ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!16), $i!val!16, ite_t((X0 = $i!val!19), $i!val!19, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!3), $i!val!3, $i!val!17)))))))) = $i!val!13)) | ((k!517(X1) = $i!val!1) & (ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!16), $i!val!16, ite_t((X0 = $i!val!19), $i!val!19, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!3), $i!val!3, $i!val!17)))))))) = $i!val!13)) | ((k!517(X1) = $i!val!0) & (ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!16), $i!val!16, ite_t((X0 = $i!val!19), $i!val!19, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!3), $i!val!3, $i!val!17)))))))) = $i!val!3)) | ((k!517(X1) = $i!val!9) & (ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!16), $i!val!16, ite_t((X0 = $i!val!19), $i!val!19, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!3), $i!val!3, $i!val!17)))))))) = $i!val!13))))).
% 0.18/0.51 tff(formula68, axiom,
% 0.18/0.51 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((k!517(X1) = $i!val!9) & (ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!16), $i!val!16, ite_t((X0 = $i!val!19), $i!val!19, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!3), $i!val!3, $i!val!17)))))))) = $i!val!12)) | ((k!517(X1) = $i!val!0) & (ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!16), $i!val!16, ite_t((X0 = $i!val!19), $i!val!19, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!3), $i!val!3, $i!val!17)))))))) = $i!val!14)) | ((k!517(X1) = $i!val!7) & (ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!16), $i!val!16, ite_t((X0 = $i!val!19), $i!val!19, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!3), $i!val!3, $i!val!17)))))))) = $i!val!13)) | ((k!517(X1) = $i!val!1) & (ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!16), $i!val!16, ite_t((X0 = $i!val!19), $i!val!19, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!3), $i!val!3, $i!val!17)))))))) = $i!val!13)) | ((k!517(X1) = $i!val!9) & (ite_t((X0 = $i!val!14), $i!val!14, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!15), $i!val!15, ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!16), $i!val!16, ite_t((X0 = $i!val!19), $i!val!19, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!3), $i!val!3, $i!val!17)))))))) = $i!val!13))))).
% 0.18/0.51 tff(formula69, axiom,
% 0.18/0.51 ![X0: $i] : (ndr1_1(X0) <=> ((k!517(X0) = $i!val!1) | (k!517(X0) = $i!val!7) | (k!517(X0) = $i!val!0) | (k!517(X0) = $i!val!9)))).
% 0.18/0.51 % SZS output end Model
%------------------------------------------------------------------------------