TSTP Solution File: SYN538-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN538-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n014.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 23:56:17 EDT 2022
% Result : Satisfiable 0.19s 0.57s
% Output : Model 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN538-1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n014.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 : Mon Sep 5 05:23:59 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.
% 0.19/0.57 % SZS status Satisfiable
% 0.19/0.57 % SZS output start Model
% 0.19/0.57 tff(c3_0_type, type, (
% 0.19/0.57 c3_0: $o)).
% 0.19/0.57 tff(tptp_fun__i_val_1_type, type, (
% 0.19/0.57 tptp_fun__i_val_1: $i)).
% 0.19/0.57 tff(a567_type, type, (
% 0.19/0.57 a567: $i)).
% 0.19/0.57 tff(tptp_fun__i_val_6_type, type, (
% 0.19/0.57 tptp_fun__i_val_6: $i)).
% 0.19/0.57 tff(a569_type, type, (
% 0.19/0.57 a569: $i)).
% 0.19/0.57 tff(tptp_fun__i_val_16_type, type, (
% 0.19/0.57 tptp_fun__i_val_16: $i)).
% 0.19/0.57 tff(a552_type, type, (
% 0.19/0.57 a552: $i)).
% 0.19/0.57 tff(ssSkC4_type, type, (
% 0.19/0.57 ssSkC4: $o)).
% 0.19/0.57 tff(tptp_fun__i_val_11_type, type, (
% 0.19/0.57 tptp_fun__i_val_11: $i)).
% 0.19/0.57 tff(a548_type, type, (
% 0.19/0.57 a548: $i)).
% 0.19/0.57 tff(ndr1_0_type, type, (
% 0.19/0.57 ndr1_0: $o)).
% 0.19/0.57 tff(ssSkC6_type, type, (
% 0.19/0.57 ssSkC6: $o)).
% 0.19/0.57 tff(tptp_fun__i_val_8_type, type, (
% 0.19/0.57 tptp_fun__i_val_8: $i)).
% 0.19/0.57 tff(a579_type, type, (
% 0.19/0.57 a579: $i)).
% 0.19/0.57 tff(a572_type, type, (
% 0.19/0.57 a572: $i)).
% 0.19/0.57 tff(ssSkC2_type, type, (
% 0.19/0.57 ssSkC2: $o)).
% 0.19/0.57 tff(tptp_fun__i_val_2_type, type, (
% 0.19/0.57 tptp_fun__i_val_2: $i)).
% 0.19/0.57 tff(a556_type, type, (
% 0.19/0.57 a556: $i)).
% 0.19/0.57 tff(tptp_fun__i_val_15_type, type, (
% 0.19/0.57 tptp_fun__i_val_15: $i)).
% 0.19/0.57 tff(a574_type, type, (
% 0.19/0.57 a574: $i)).
% 0.19/0.57 tff(ssSkC0_type, type, (
% 0.19/0.57 ssSkC0: $o)).
% 0.19/0.57 tff(a573_type, type, (
% 0.19/0.57 a573: $i)).
% 0.19/0.57 tff(ssSkC3_type, type, (
% 0.19/0.57 ssSkC3: $o)).
% 0.19/0.57 tff(a570_type, type, (
% 0.19/0.57 a570: $i)).
% 0.19/0.57 tff(a549_type, type, (
% 0.19/0.57 a549: $i)).
% 0.19/0.57 tff(tptp_fun__i_val_14_type, type, (
% 0.19/0.57 tptp_fun__i_val_14: $i)).
% 0.19/0.57 tff(a551_type, type, (
% 0.19/0.57 a551: $i)).
% 0.19/0.57 tff(tptp_fun__i_val_3_type, type, (
% 0.19/0.57 tptp_fun__i_val_3: $i)).
% 0.19/0.57 tff(a561_type, type, (
% 0.19/0.57 a561: $i)).
% 0.19/0.57 tff(a575_type, type, (
% 0.19/0.57 a575: $i)).
% 0.19/0.57 tff(tptp_fun__i_val_9_type, type, (
% 0.19/0.57 tptp_fun__i_val_9: $i)).
% 0.19/0.57 tff(a562_type, type, (
% 0.19/0.57 a562: $i)).
% 0.19/0.57 tff(a580_type, type, (
% 0.19/0.57 a580: $i)).
% 0.19/0.57 tff(c1_0_type, type, (
% 0.19/0.57 c1_0: $o)).
% 0.19/0.57 tff(tptp_fun__i_val_13_type, type, (
% 0.19/0.57 tptp_fun__i_val_13: $i)).
% 0.19/0.57 tff(a555_type, type, (
% 0.19/0.57 a555: $i)).
% 0.19/0.57 tff(tptp_fun__i_val_5_type, type, (
% 0.19/0.57 tptp_fun__i_val_5: $i)).
% 0.19/0.57 tff(a578_type, type, (
% 0.19/0.57 a578: $i)).
% 0.19/0.57 tff(c2_0_type, type, (
% 0.19/0.57 c2_0: $o)).
% 0.19/0.57 tff(ssSkC5_type, type, (
% 0.19/0.57 ssSkC5: $o)).
% 0.19/0.57 tff(tptp_fun__i_val_17_type, type, (
% 0.19/0.57 tptp_fun__i_val_17: $i)).
% 0.19/0.57 tff(a553_type, type, (
% 0.19/0.57 a553: $i)).
% 0.19/0.57 tff(a558_type, type, (
% 0.19/0.57 a558: $i)).
% 0.19/0.57 tff(tptp_fun__i_val_10_type, type, (
% 0.19/0.57 tptp_fun__i_val_10: $i)).
% 0.19/0.57 tff(a557_type, type, (
% 0.19/0.57 a557: $i)).
% 0.19/0.57 tff(a565_type, type, (
% 0.19/0.57 a565: $i)).
% 0.19/0.57 tff(a560_type, type, (
% 0.19/0.57 a560: $i)).
% 0.19/0.57 tff(a582_type, type, (
% 0.19/0.57 a582: $i)).
% 0.19/0.57 tff(ssSkC1_type, type, (
% 0.19/0.57 ssSkC1: $o)).
% 0.19/0.57 tff(a571_type, type, (
% 0.19/0.57 a571: $i)).
% 0.19/0.57 tff(tptp_fun__i_val_4_type, type, (
% 0.19/0.57 tptp_fun__i_val_4: $i)).
% 0.19/0.57 tff(a584_type, type, (
% 0.19/0.57 a584: $i)).
% 0.19/0.57 tff(a581_type, type, (
% 0.19/0.57 a581: $i)).
% 0.19/0.57 tff(a586_type, type, (
% 0.19/0.57 a586: $i)).
% 0.19/0.57 tff(a576_type, type, (
% 0.19/0.57 a576: $i)).
% 0.19/0.57 tff(a566_type, type, (
% 0.19/0.57 a566: $i)).
% 0.19/0.57 tff(tptp_fun__i_val_0_type, type, (
% 0.19/0.57 tptp_fun__i_val_0: $i)).
% 0.19/0.57 tff(a583_type, type, (
% 0.19/0.57 a583: $i)).
% 0.19/0.57 tff(tptp_fun__i_val_12_type, type, (
% 0.19/0.57 tptp_fun__i_val_12: $i)).
% 0.19/0.57 tff(a563_type, type, (
% 0.19/0.57 a563: $i)).
% 0.19/0.57 tff(c5_0_type, type, (
% 0.19/0.57 c5_0: $o)).
% 0.19/0.57 tff(tptp_fun__i_val_7_type, type, (
% 0.19/0.57 tptp_fun__i_val_7: $i)).
% 0.19/0.57 tff(a550_type, type, (
% 0.19/0.57 a550: $i)).
% 0.19/0.57 tff(tptp_fun__i_val_18_type, type, (
% 0.19/0.57 tptp_fun__i_val_18: $i)).
% 0.19/0.57 tff(a554_type, type, (
% 0.19/0.57 a554: $i)).
% 0.19/0.57 tff(c4_0_type, type, (
% 0.19/0.57 c4_0: $o)).
% 0.19/0.57 tff(a559_type, type, (
% 0.19/0.57 a559: $i)).
% 0.19/0.57 tff(c4_1_type, type, (
% 0.19/0.57 c4_1: $i > $o)).
% 0.19/0.57 tff(k!656_type, type, (
% 0.19/0.57 k!656: $i > $i)).
% 0.19/0.57 tff(c1_1_type, type, (
% 0.19/0.57 c1_1: $i > $o)).
% 0.19/0.57 tff(ssSkP0_type, type, (
% 0.19/0.57 ssSkP0: $i > $o)).
% 0.19/0.57 tff(c4_2_type, type, (
% 0.19/0.57 c4_2: ( $i * $i ) > $o)).
% 0.19/0.57 tff(ndr1_1_type, type, (
% 0.19/0.57 ndr1_1: $i > $o)).
% 0.19/0.57 tff(c5_2_type, type, (
% 0.19/0.57 c5_2: ( $i * $i ) > $o)).
% 0.19/0.57 tff(ssSkP3_type, type, (
% 0.19/0.57 ssSkP3: $i > $o)).
% 0.19/0.57 tff(c5_1_type, type, (
% 0.19/0.57 c5_1: $i > $o)).
% 0.19/0.57 tff(c3_1_type, type, (
% 0.19/0.57 c3_1: $i > $o)).
% 0.19/0.57 tff(c2_1_type, type, (
% 0.19/0.57 c2_1: $i > $o)).
% 0.19/0.57 tff(ssSkP1_type, type, (
% 0.19/0.57 ssSkP1: $i > $o)).
% 0.19/0.57 tff(c3_2_type, type, (
% 0.19/0.57 c3_2: ( $i * $i ) > $o)).
% 0.19/0.57 tff(ssSkP2_type, type, (
% 0.19/0.57 ssSkP2: $i > $o)).
% 0.19/0.57 tff(c2_2_type, type, (
% 0.19/0.57 c2_2: ( $i * $i ) > $o)).
% 0.19/0.57 tff(c1_2_type, type, (
% 0.19/0.57 c1_2: ( $i * $i ) > $o)).
% 0.19/0.57 tff(formula1, axiom,
% 0.19/0.57 c3_0 <=> $false).
% 0.19/0.57 tff(formula2, axiom,
% 0.19/0.57 a567 = $i!val!1).
% 0.19/0.57 tff(formula3, axiom,
% 0.19/0.57 a569 = $i!val!6).
% 0.19/0.57 tff(formula4, axiom,
% 0.19/0.57 a552 = $i!val!16).
% 0.19/0.57 tff(formula5, axiom,
% 0.19/0.57 ssSkC4 <=> $false).
% 0.19/0.57 tff(formula6, axiom,
% 0.19/0.57 a548 = $i!val!11).
% 0.19/0.57 tff(formula7, axiom,
% 0.19/0.57 ndr1_0 <=> $true).
% 0.19/0.57 tff(formula8, axiom,
% 0.19/0.57 ssSkC6 <=> $false).
% 0.19/0.57 tff(formula9, axiom,
% 0.19/0.57 a579 = $i!val!8).
% 0.19/0.57 tff(formula10, axiom,
% 0.19/0.57 a572 = $i!val!16).
% 0.19/0.57 tff(formula11, axiom,
% 0.19/0.57 ssSkC2 <=> $true).
% 0.19/0.57 tff(formula12, axiom,
% 0.19/0.57 a556 = $i!val!2).
% 0.19/0.57 tff(formula13, axiom,
% 0.19/0.57 a574 = $i!val!15).
% 0.19/0.57 tff(formula14, axiom,
% 0.19/0.57 ssSkC0 <=> $true).
% 0.19/0.57 tff(formula15, axiom,
% 0.19/0.57 a573 = $i!val!16).
% 0.19/0.57 tff(formula16, axiom,
% 0.19/0.57 ssSkC3 <=> $false).
% 0.19/0.57 tff(formula17, axiom,
% 0.19/0.57 a570 = $i!val!16).
% 0.19/0.57 tff(formula18, axiom,
% 0.19/0.57 a549 = $i!val!16).
% 0.19/0.57 tff(formula19, axiom,
% 0.19/0.57 a551 = $i!val!14).
% 0.19/0.57 tff(formula20, axiom,
% 0.19/0.57 a561 = $i!val!3).
% 0.19/0.57 tff(formula21, axiom,
% 0.19/0.57 a575 = $i!val!16).
% 0.19/0.57 tff(formula22, axiom,
% 0.19/0.57 a562 = $i!val!9).
% 0.19/0.57 tff(formula23, axiom,
% 0.19/0.57 a580 = $i!val!16).
% 0.19/0.57 tff(formula24, axiom,
% 0.19/0.57 c1_0 <=> $false).
% 0.19/0.57 tff(formula25, axiom,
% 0.19/0.57 a555 = $i!val!13).
% 0.19/0.57 tff(formula26, axiom,
% 0.19/0.57 a578 = $i!val!5).
% 0.19/0.57 tff(formula27, axiom,
% 0.19/0.57 c2_0 <=> $false).
% 0.19/0.57 tff(formula28, axiom,
% 0.19/0.57 ssSkC5 <=> $true).
% 0.19/0.57 tff(formula29, axiom,
% 0.19/0.57 a553 = $i!val!17).
% 0.19/0.57 tff(formula30, axiom,
% 0.19/0.57 a558 = $i!val!16).
% 0.19/0.57 tff(formula31, axiom,
% 0.19/0.57 a557 = $i!val!10).
% 0.19/0.57 tff(formula32, axiom,
% 0.19/0.57 a565 = $i!val!16).
% 0.19/0.57 tff(formula33, axiom,
% 0.19/0.57 a560 = $i!val!16).
% 0.19/0.57 tff(formula34, axiom,
% 0.19/0.57 a582 = $i!val!16).
% 0.19/0.57 tff(formula35, axiom,
% 0.19/0.57 ssSkC1 <=> $false).
% 0.19/0.57 tff(formula36, axiom,
% 0.19/0.57 a571 = $i!val!16).
% 0.19/0.57 tff(formula37, axiom,
% 0.19/0.57 a584 = $i!val!4).
% 0.19/0.57 tff(formula38, axiom,
% 0.19/0.57 a581 = $i!val!16).
% 0.19/0.57 tff(formula39, axiom,
% 0.19/0.57 a586 = $i!val!16).
% 0.19/0.57 tff(formula40, axiom,
% 0.19/0.57 a576 = $i!val!16).
% 0.19/0.57 tff(formula41, axiom,
% 0.19/0.57 a566 = $i!val!16).
% 0.19/0.57 tff(formula42, axiom,
% 0.19/0.57 a583 = $i!val!0).
% 0.19/0.57 tff(formula43, axiom,
% 0.19/0.57 a563 = $i!val!12).
% 0.19/0.57 tff(formula44, axiom,
% 0.19/0.57 c5_0 <=> $false).
% 0.19/0.57 tff(formula45, axiom,
% 0.19/0.57 a550 = $i!val!7).
% 0.19/0.57 tff(formula46, axiom,
% 0.19/0.57 a554 = $i!val!18).
% 0.19/0.57 tff(formula47, axiom,
% 0.19/0.57 c4_0 <=> $true).
% 0.19/0.57 tff(formula48, axiom,
% 0.19/0.57 a559 = $i!val!16).
% 0.19/0.57 tff(formula49, axiom,
% 0.19/0.57 ![X0: $i] : (c4_1(X0) <=> $false)).
% 0.19/0.57 tff(formula50, axiom,
% 0.19/0.57 k!656($i!val!16) = $i!val!16).
% 0.19/0.57 tff(formula51, axiom,
% 0.19/0.57 k!656($i!val!14) = $i!val!14).
% 0.19/0.57 tff(formula52, axiom,
% 0.19/0.57 k!656($i!val!3) = $i!val!3).
% 0.19/0.57 tff(formula53, axiom,
% 0.19/0.57 k!656($i!val!5) = $i!val!5).
% 0.19/0.57 tff(formula54, axiom,
% 0.19/0.57 k!656($i!val!0) = $i!val!0).
% 0.19/0.57 tff(formula55, axiom,
% 0.19/0.57 k!656($i!val!2) = $i!val!2).
% 0.19/0.57 tff(formula56, axiom,
% 0.19/0.57 k!656($i!val!1) = $i!val!1).
% 0.19/0.57 tff(formula57, axiom,
% 0.19/0.57 k!656($i!val!6) = $i!val!6).
% 0.19/0.57 tff(formula58, axiom,
% 0.19/0.57 k!656($i!val!7) = $i!val!7).
% 0.19/0.57 tff(formula59, axiom,
% 0.19/0.57 k!656($i!val!15) = $i!val!15).
% 0.19/0.57 tff(formula60, axiom,
% 0.19/0.57 ![X0: $i] : ((~((($i!val!16 = X0)) | (($i!val!14 = X0)) | (($i!val!3 = X0)) | (($i!val!5 = X0)) | (($i!val!0 = X0)) | (($i!val!2 = X0)) | (($i!val!1 = X0)) | (($i!val!6 = X0)) | (($i!val!7 = X0)) | (($i!val!15 = X0)))) => (k!656(X0) = $i!val!4))).
% 0.19/0.57 tff(formula61, axiom,
% 0.19/0.57 ![X0: $i] : (c1_1(X0) <=> $false)).
% 0.19/0.57 tff(formula62, axiom,
% 0.19/0.57 ![X0: $i] : (ssSkP0(X0) <=> ((k!656(X0) = $i!val!0) | (k!656(X0) = $i!val!1) | (k!656(X0) = $i!val!2) | (k!656(X0) = $i!val!14) | (k!656(X0) = $i!val!7) | (k!656(X0) = $i!val!4) | (k!656(X0) = $i!val!6) | (k!656(X0) = $i!val!5) | (k!656(X0) = $i!val!15) | (k!656(X0) = $i!val!16)))).
% 0.19/0.57 tff(formula63, axiom,
% 0.19/0.57 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((k!656(X1) = $i!val!4) & (ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!17), $i!val!17, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!11))))))) = $i!val!12)) | ((k!656(X1) = $i!val!14) & (ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!17), $i!val!17, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!11))))))) = $i!val!12)) | ((k!656(X1) = $i!val!3) & (ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!17), $i!val!17, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!11))))))) = $i!val!12)) | ((k!656(X1) = $i!val!7) & (ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!17), $i!val!17, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!11))))))) = $i!val!12))))).
% 0.19/0.57 tff(formula64, axiom,
% 0.19/0.57 ![X0: $i] : (ndr1_1(X0) <=> ((k!656(X0) = $i!val!14) | (k!656(X0) = $i!val!7) | (k!656(X0) = $i!val!3) | (k!656(X0) = $i!val!4) | (k!656(X0) = $i!val!6) | (k!656(X0) = $i!val!5)))).
% 0.19/0.57 tff(formula65, axiom,
% 0.19/0.57 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> ((k!656(X1) = $i!val!3) & (ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!17), $i!val!17, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!11))))))) = $i!val!11)))).
% 0.19/0.57 tff(formula66, axiom,
% 0.19/0.57 ![X0: $i] : (ssSkP3(X0) <=> ((k!656(X0) = $i!val!0) | (k!656(X0) = $i!val!1) | (k!656(X0) = $i!val!2) | (k!656(X0) = $i!val!14) | (k!656(X0) = $i!val!15) | (k!656(X0) = $i!val!16)))).
% 0.19/0.57 tff(formula67, axiom,
% 0.19/0.57 ![X0: $i] : (c5_1(X0) <=> ((k!656(X0) = $i!val!0) | (k!656(X0) = $i!val!1) | (k!656(X0) = $i!val!2) | (k!656(X0) = $i!val!5) | (k!656(X0) = $i!val!15) | (k!656(X0) = $i!val!16)))).
% 0.19/0.57 tff(formula68, axiom,
% 0.19/0.57 ![X0: $i] : (c3_1(X0) <=> ((k!656(X0) = $i!val!0) | (k!656(X0) = $i!val!1) | (k!656(X0) = $i!val!2) | (k!656(X0) = $i!val!6) | (k!656(X0) = $i!val!5) | (k!656(X0) = $i!val!15) | (k!656(X0) = $i!val!16)))).
% 0.19/0.57 tff(formula69, axiom,
% 0.19/0.57 ![X0: $i] : (c2_1(X0) <=> $false)).
% 0.19/0.57 tff(formula70, axiom,
% 0.19/0.57 ![X0: $i] : (ssSkP1(X0) <=> ((k!656(X0) = $i!val!0) | (k!656(X0) = $i!val!1) | (k!656(X0) = $i!val!2) | (k!656(X0) = $i!val!4) | (k!656(X0) = $i!val!15) | (k!656(X0) = $i!val!16)))).
% 0.19/0.57 tff(formula71, axiom,
% 0.19/0.57 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (((k!656(X1) = $i!val!4) & (ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!17), $i!val!17, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!11))))))) = $i!val!8)) | ((k!656(X1) = $i!val!6) & (ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!17), $i!val!17, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!11))))))) = $i!val!8)) | ((k!656(X1) = $i!val!7) & (ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!17), $i!val!17, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!11))))))) = $i!val!8)) | ((k!656(X1) = $i!val!5) & (ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!17), $i!val!17, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!11))))))) = $i!val!8)) | ((k!656(X1) = $i!val!3) & (ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!17), $i!val!17, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!11))))))) = $i!val!8))))).
% 0.19/0.57 tff(formula72, axiom,
% 0.19/0.57 ![X0: $i] : (ssSkP2(X0) <=> ((k!656(X0) = $i!val!0) | (k!656(X0) = $i!val!1) | (k!656(X0) = $i!val!2) | (k!656(X0) = $i!val!14) | (k!656(X0) = $i!val!7) | (k!656(X0) = $i!val!3) | (k!656(X0) = $i!val!4) | (k!656(X0) = $i!val!6) | (k!656(X0) = $i!val!5) | (k!656(X0) = $i!val!15) | (k!656(X0) = $i!val!16)))).
% 0.19/0.57 tff(formula73, axiom,
% 0.19/0.57 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> ((k!656(X1) = $i!val!3) & (ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!17), $i!val!17, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!11))))))) = $i!val!11)))).
% 0.54/0.58 tff(formula74, axiom,
% 0.54/0.58 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((k!656(X1) = $i!val!3) & (ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!17), $i!val!17, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!11))))))) = $i!val!10)) | ((k!656(X1) = $i!val!6) & (ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!17), $i!val!17, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!11))))))) = $i!val!10)) | ((k!656(X1) = $i!val!7) & (ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!17), $i!val!17, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!11))))))) = $i!val!10)) | ((k!656(X1) = $i!val!5) & (ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!17), $i!val!17, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!11))))))) = $i!val!10)) | ((k!656(X1) = $i!val!14) & (ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!17), $i!val!17, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!11))))))) = $i!val!10)) | ((k!656(X1) = $i!val!6) & (ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!17), $i!val!17, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!11))))))) = $i!val!8)) | ((k!656(X1) = $i!val!5) & (ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!17), $i!val!17, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!11))))))) = $i!val!8)) | ((k!656(X1) = $i!val!4) & (ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!17), $i!val!17, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!11))))))) = $i!val!12)) | ((k!656(X1) = $i!val!14) & (ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!17), $i!val!17, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!11))))))) = $i!val!12)) | ((k!656(X1) = $i!val!3) & (ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!17), $i!val!17, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!11))))))) = $i!val!12)) | ((k!656(X1) = $i!val!7) & (ite_t((X0 = $i!val!18), $i!val!18, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!17), $i!val!17, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!13), $i!val!13, $i!val!11))))))) = $i!val!12))))).
% 0.54/0.58 % SZS output end Model
%------------------------------------------------------------------------------