TSTP Solution File: SYN437-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN437-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n011.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 23:55:23 EDT 2022
% Result : Satisfiable 3.12s 2.26s
% Output : Model 3.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN437-1 : TPTP v8.1.0. Released v2.1.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n011.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 03:32:30 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.
% 3.12/2.26 % SZS status Satisfiable
% 3.12/2.26 % SZS output start Model
% 3.12/2.26 tff(hskp10_type, type, (
% 3.12/2.26 hskp10: $o)).
% 3.12/2.26 tff(tptp_fun__i_val_17_type, type, (
% 3.12/2.26 tptp_fun__i_val_17: $i)).
% 3.12/2.26 tff(a407_type, type, (
% 3.12/2.26 a407: $i)).
% 3.12/2.26 tff(tptp_fun__i_val_16_type, type, (
% 3.12/2.26 tptp_fun__i_val_16: $i)).
% 3.12/2.26 tff(a437_type, type, (
% 3.12/2.26 a437: $i)).
% 3.12/2.26 tff(tptp_fun__i_val_10_type, type, (
% 3.12/2.26 tptp_fun__i_val_10: $i)).
% 3.12/2.26 tff(a443_type, type, (
% 3.12/2.26 a443: $i)).
% 3.12/2.26 tff(ndr1_0_type, type, (
% 3.12/2.26 ndr1_0: $o)).
% 3.12/2.26 tff(hskp40_type, type, (
% 3.12/2.26 hskp40: $o)).
% 3.12/2.26 tff(hskp22_type, type, (
% 3.12/2.26 hskp22: $o)).
% 3.12/2.26 tff(hskp50_type, type, (
% 3.12/2.26 hskp50: $o)).
% 3.12/2.26 tff(hskp14_type, type, (
% 3.12/2.26 hskp14: $o)).
% 3.12/2.26 tff(hskp21_type, type, (
% 3.12/2.26 hskp21: $o)).
% 3.12/2.26 tff(hskp0_type, type, (
% 3.12/2.26 hskp0: $o)).
% 3.12/2.26 tff(hskp49_type, type, (
% 3.12/2.26 hskp49: $o)).
% 3.12/2.26 tff(hskp26_type, type, (
% 3.12/2.26 hskp26: $o)).
% 3.12/2.26 tff(hskp24_type, type, (
% 3.12/2.26 hskp24: $o)).
% 3.12/2.26 tff(hskp6_type, type, (
% 3.12/2.26 hskp6: $o)).
% 3.12/2.26 tff(hskp48_type, type, (
% 3.12/2.26 hskp48: $o)).
% 3.12/2.26 tff(tptp_fun__i_val_11_type, type, (
% 3.12/2.26 tptp_fun__i_val_11: $i)).
% 3.12/2.26 tff(a430_type, type, (
% 3.12/2.26 a430: $i)).
% 3.12/2.26 tff(hskp45_type, type, (
% 3.12/2.26 hskp45: $o)).
% 3.12/2.26 tff(tptp_fun__i_val_6_type, type, (
% 3.12/2.26 tptp_fun__i_val_6: $i)).
% 3.12/2.26 tff(a408_type, type, (
% 3.12/2.26 a408: $i)).
% 3.12/2.26 tff(hskp2_type, type, (
% 3.12/2.26 hskp2: $o)).
% 3.12/2.26 tff(hskp34_type, type, (
% 3.12/2.26 hskp34: $o)).
% 3.12/2.26 tff(hskp5_type, type, (
% 3.12/2.26 hskp5: $o)).
% 3.12/2.26 tff(hskp36_type, type, (
% 3.12/2.26 hskp36: $o)).
% 3.12/2.26 tff(hskp43_type, type, (
% 3.12/2.26 hskp43: $o)).
% 3.12/2.26 tff(hskp4_type, type, (
% 3.12/2.26 hskp4: $o)).
% 3.12/2.26 tff(hskp15_type, type, (
% 3.12/2.26 hskp15: $o)).
% 3.12/2.26 tff(tptp_fun__i_val_13_type, type, (
% 3.12/2.26 tptp_fun__i_val_13: $i)).
% 3.12/2.26 tff(a403_type, type, (
% 3.12/2.26 a403: $i)).
% 3.12/2.26 tff(tptp_fun__i_val_15_type, type, (
% 3.12/2.26 tptp_fun__i_val_15: $i)).
% 3.12/2.26 tff(a448_type, type, (
% 3.12/2.26 a448: $i)).
% 3.12/2.26 tff(hskp7_type, type, (
% 3.12/2.26 hskp7: $o)).
% 3.12/2.26 tff(hskp51_type, type, (
% 3.12/2.26 hskp51: $o)).
% 3.12/2.26 tff(hskp33_type, type, (
% 3.12/2.26 hskp33: $o)).
% 3.12/2.26 tff(hskp1_type, type, (
% 3.12/2.26 hskp1: $o)).
% 3.12/2.26 tff(tptp_fun__i_val_3_type, type, (
% 3.12/2.26 tptp_fun__i_val_3: $i)).
% 3.12/2.26 tff(a431_type, type, (
% 3.12/2.26 a431: $i)).
% 3.12/2.26 tff(tptp_fun__i_val_8_type, type, (
% 3.12/2.26 tptp_fun__i_val_8: $i)).
% 3.12/2.26 tff(a452_type, type, (
% 3.12/2.26 a452: $i)).
% 3.12/2.26 tff(hskp17_type, type, (
% 3.12/2.26 hskp17: $o)).
% 3.12/2.26 tff(hskp20_type, type, (
% 3.12/2.26 hskp20: $o)).
% 3.12/2.26 tff(hskp47_type, type, (
% 3.12/2.26 hskp47: $o)).
% 3.12/2.26 tff(tptp_fun__i_val_12_type, type, (
% 3.12/2.26 tptp_fun__i_val_12: $i)).
% 3.12/2.26 tff(a416_type, type, (
% 3.12/2.26 a416: $i)).
% 3.12/2.26 tff(hskp23_type, type, (
% 3.12/2.26 hskp23: $o)).
% 3.12/2.26 tff(tptp_fun__i_val_1_type, type, (
% 3.12/2.26 tptp_fun__i_val_1: $i)).
% 3.12/2.26 tff(a439_type, type, (
% 3.12/2.26 a439: $i)).
% 3.12/2.26 tff(hskp42_type, type, (
% 3.12/2.26 hskp42: $o)).
% 3.12/2.26 tff(tptp_fun__i_val_0_type, type, (
% 3.12/2.26 tptp_fun__i_val_0: $i)).
% 3.12/2.26 tff(a455_type, type, (
% 3.12/2.26 a455: $i)).
% 3.12/2.26 tff(tptp_fun__i_val_2_type, type, (
% 3.12/2.26 tptp_fun__i_val_2: $i)).
% 3.12/2.26 tff(a438_type, type, (
% 3.12/2.26 a438: $i)).
% 3.12/2.26 tff(hskp41_type, type, (
% 3.12/2.26 hskp41: $o)).
% 3.12/2.26 tff(hskp31_type, type, (
% 3.12/2.26 hskp31: $o)).
% 3.12/2.26 tff(hskp12_type, type, (
% 3.12/2.26 hskp12: $o)).
% 3.12/2.26 tff(hskp11_type, type, (
% 3.12/2.26 hskp11: $o)).
% 3.12/2.26 tff(hskp19_type, type, (
% 3.12/2.26 hskp19: $o)).
% 3.12/2.26 tff(tptp_fun__i_val_4_type, type, (
% 3.12/2.26 tptp_fun__i_val_4: $i)).
% 3.12/2.26 tff(a417_type, type, (
% 3.12/2.26 a417: $i)).
% 3.12/2.26 tff(hskp46_type, type, (
% 3.12/2.26 hskp46: $o)).
% 3.12/2.26 tff(hskp27_type, type, (
% 3.12/2.26 hskp27: $o)).
% 3.12/2.26 tff(hskp38_type, type, (
% 3.12/2.26 hskp38: $o)).
% 3.12/2.26 tff(hskp44_type, type, (
% 3.12/2.26 hskp44: $o)).
% 3.12/2.26 tff(hskp37_type, type, (
% 3.12/2.26 hskp37: $o)).
% 3.12/2.26 tff(hskp35_type, type, (
% 3.12/2.26 hskp35: $o)).
% 3.12/2.26 tff(hskp3_type, type, (
% 3.12/2.26 hskp3: $o)).
% 3.12/2.26 tff(tptp_fun__i_val_14_type, type, (
% 3.12/2.26 tptp_fun__i_val_14: $i)).
% 3.12/2.26 tff(a451_type, type, (
% 3.12/2.26 a451: $i)).
% 3.12/2.26 tff(hskp18_type, type, (
% 3.12/2.26 hskp18: $o)).
% 3.12/2.26 tff(hskp8_type, type, (
% 3.12/2.26 hskp8: $o)).
% 3.12/2.26 tff(hskp30_type, type, (
% 3.12/2.26 hskp30: $o)).
% 3.12/2.26 tff(hskp39_type, type, (
% 3.12/2.26 hskp39: $o)).
% 3.12/2.26 tff(hskp32_type, type, (
% 3.12/2.26 hskp32: $o)).
% 3.12/2.26 tff(hskp16_type, type, (
% 3.12/2.26 hskp16: $o)).
% 3.12/2.26 tff(tptp_fun__i_val_7_type, type, (
% 3.12/2.26 tptp_fun__i_val_7: $i)).
% 3.12/2.26 tff(a454_type, type, (
% 3.12/2.26 a454: $i)).
% 3.12/2.26 tff(hskp13_type, type, (
% 3.12/2.26 hskp13: $o)).
% 3.12/2.26 tff(tptp_fun__i_val_9_type, type, (
% 3.12/2.26 tptp_fun__i_val_9: $i)).
% 3.12/2.26 tff(a450_type, type, (
% 3.12/2.26 a450: $i)).
% 3.12/2.26 tff(hskp25_type, type, (
% 3.12/2.26 hskp25: $o)).
% 3.12/2.26 tff(hskp9_type, type, (
% 3.12/2.26 hskp9: $o)).
% 3.12/2.26 tff(hskp29_type, type, (
% 3.12/2.26 hskp29: $o)).
% 3.12/2.26 tff(tptp_fun__i_val_5_type, type, (
% 3.12/2.26 tptp_fun__i_val_5: $i)).
% 3.12/2.26 tff(a409_type, type, (
% 3.12/2.26 a409: $i)).
% 3.12/2.26 tff(k!0_type, type, (
% 3.12/2.26 k!0: $i > $i)).
% 3.12/2.26 tff(c1_1_type, type, (
% 3.12/2.26 c1_1: $i > $o)).
% 3.12/2.26 tff(c0_1_type, type, (
% 3.12/2.26 c0_1: $i > $o)).
% 3.12/2.26 tff(c2_1_type, type, (
% 3.12/2.26 c2_1: $i > $o)).
% 3.12/2.26 tff(c3_1_type, type, (
% 3.12/2.26 c3_1: $i > $o)).
% 3.12/2.26 tff(formula1, axiom,
% 3.12/2.26 hskp10 <=> $false).
% 3.12/2.26 tff(formula2, axiom,
% 3.12/2.26 a407 = $i!val!17).
% 3.12/2.26 tff(formula3, axiom,
% 3.12/2.26 a437 = $i!val!16).
% 3.12/2.26 tff(formula4, axiom,
% 3.12/2.26 a443 = $i!val!10).
% 3.12/2.26 tff(formula5, axiom,
% 3.12/2.26 ndr1_0 <=> $true).
% 3.12/2.26 tff(formula6, axiom,
% 3.12/2.26 hskp40 <=> $false).
% 3.12/2.26 tff(formula7, axiom,
% 3.12/2.26 hskp22 <=> $false).
% 3.12/2.26 tff(formula8, axiom,
% 3.12/2.26 hskp50 <=> $false).
% 3.12/2.26 tff(formula9, axiom,
% 3.12/2.26 hskp14 <=> $false).
% 3.12/2.26 tff(formula10, axiom,
% 3.12/2.26 hskp21 <=> $false).
% 3.12/2.26 tff(formula11, axiom,
% 3.12/2.26 hskp0 <=> $false).
% 3.12/2.26 tff(formula12, axiom,
% 3.12/2.26 hskp49 <=> $false).
% 3.12/2.26 tff(formula13, axiom,
% 3.12/2.26 hskp26 <=> $false).
% 3.12/2.26 tff(formula14, axiom,
% 3.12/2.26 hskp24 <=> $false).
% 3.12/2.26 tff(formula15, axiom,
% 3.12/2.26 hskp6 <=> $true).
% 3.12/2.26 tff(formula16, axiom,
% 3.12/2.26 hskp48 <=> $true).
% 3.12/2.26 tff(formula17, axiom,
% 3.12/2.26 a430 = $i!val!11).
% 3.12/2.26 tff(formula18, axiom,
% 3.12/2.26 hskp45 <=> $false).
% 3.12/2.26 tff(formula19, axiom,
% 3.12/2.26 a408 = $i!val!6).
% 3.12/2.26 tff(formula20, axiom,
% 3.12/2.26 hskp2 <=> $false).
% 3.12/2.26 tff(formula21, axiom,
% 3.12/2.26 hskp34 <=> $false).
% 3.12/2.26 tff(formula22, axiom,
% 3.12/2.26 hskp5 <=> $false).
% 3.12/2.26 tff(formula23, axiom,
% 3.12/2.26 hskp36 <=> $false).
% 3.12/2.26 tff(formula24, axiom,
% 3.12/2.26 hskp43 <=> $false).
% 3.12/2.26 tff(formula25, axiom,
% 3.12/2.26 hskp4 <=> $false).
% 3.12/2.26 tff(formula26, axiom,
% 3.12/2.26 hskp15 <=> $false).
% 3.12/2.26 tff(formula27, axiom,
% 3.12/2.26 a403 = $i!val!13).
% 3.12/2.26 tff(formula28, axiom,
% 3.12/2.26 a448 = $i!val!15).
% 3.12/2.26 tff(formula29, axiom,
% 3.12/2.26 hskp7 <=> $false).
% 3.12/2.26 tff(formula30, axiom,
% 3.12/2.26 hskp51 <=> $false).
% 3.12/2.26 tff(formula31, axiom,
% 3.12/2.26 hskp33 <=> $false).
% 3.12/2.26 tff(formula32, axiom,
% 3.12/2.26 hskp1 <=> $false).
% 3.12/2.26 tff(formula33, axiom,
% 3.12/2.26 a431 = $i!val!3).
% 3.12/2.26 tff(formula34, axiom,
% 3.12/2.26 a452 = $i!val!8).
% 3.12/2.26 tff(formula35, axiom,
% 3.12/2.26 hskp17 <=> $true).
% 3.12/2.26 tff(formula36, axiom,
% 3.12/2.26 hskp20 <=> $false).
% 3.12/2.26 tff(formula37, axiom,
% 3.12/2.26 hskp47 <=> $false).
% 3.12/2.26 tff(formula38, axiom,
% 3.12/2.26 a416 = $i!val!12).
% 3.12/2.26 tff(formula39, axiom,
% 3.12/2.26 hskp23 <=> $false).
% 3.12/2.26 tff(formula40, axiom,
% 3.12/2.26 a439 = $i!val!1).
% 3.12/2.26 tff(formula41, axiom,
% 3.12/2.26 hskp42 <=> $false).
% 3.12/2.26 tff(formula42, axiom,
% 3.12/2.26 a455 = $i!val!0).
% 3.12/2.26 tff(formula43, axiom,
% 3.12/2.26 a438 = $i!val!2).
% 3.12/2.26 tff(formula44, axiom,
% 3.12/2.26 hskp41 <=> $false).
% 3.12/2.26 tff(formula45, axiom,
% 3.12/2.26 hskp31 <=> $false).
% 3.12/2.26 tff(formula46, axiom,
% 3.12/2.26 hskp12 <=> $false).
% 3.12/2.26 tff(formula47, axiom,
% 3.12/2.26 hskp11 <=> $false).
% 3.12/2.26 tff(formula48, axiom,
% 3.12/2.26 hskp19 <=> $false).
% 3.12/2.26 tff(formula49, axiom,
% 3.12/2.26 a417 = $i!val!4).
% 3.12/2.26 tff(formula50, axiom,
% 3.12/2.26 hskp46 <=> $false).
% 3.12/2.26 tff(formula51, axiom,
% 3.12/2.26 hskp27 <=> $false).
% 3.12/2.26 tff(formula52, axiom,
% 3.12/2.26 hskp38 <=> $false).
% 3.12/2.26 tff(formula53, axiom,
% 3.12/2.26 hskp44 <=> $true).
% 3.12/2.26 tff(formula54, axiom,
% 3.12/2.26 hskp37 <=> $false).
% 3.12/2.26 tff(formula55, axiom,
% 3.12/2.26 hskp35 <=> $false).
% 3.12/2.26 tff(formula56, axiom,
% 3.12/2.26 hskp3 <=> $true).
% 3.12/2.26 tff(formula57, axiom,
% 3.12/2.26 a451 = $i!val!14).
% 3.12/2.26 tff(formula58, axiom,
% 3.12/2.26 hskp18 <=> $false).
% 3.12/2.26 tff(formula59, axiom,
% 3.12/2.26 hskp8 <=> $false).
% 3.12/2.26 tff(formula60, axiom,
% 3.12/2.26 hskp30 <=> $false).
% 3.12/2.26 tff(formula61, axiom,
% 3.12/2.26 hskp39 <=> $true).
% 3.12/2.26 tff(formula62, axiom,
% 3.12/2.26 hskp32 <=> $false).
% 3.12/2.26 tff(formula63, axiom,
% 3.12/2.26 hskp16 <=> $false).
% 3.12/2.26 tff(formula64, axiom,
% 3.12/2.26 a454 = $i!val!7).
% 3.12/2.26 tff(formula65, axiom,
% 3.12/2.26 hskp13 <=> $false).
% 3.12/2.26 tff(formula66, axiom,
% 3.12/2.26 a450 = $i!val!9).
% 3.12/2.26 tff(formula67, axiom,
% 3.12/2.26 hskp25 <=> $false).
% 3.12/2.26 tff(formula68, axiom,
% 3.12/2.26 hskp9 <=> $false).
% 3.12/2.26 tff(formula69, axiom,
% 3.12/2.26 hskp29 <=> $false).
% 3.12/2.26 tff(formula70, axiom,
% 3.12/2.26 a409 = $i!val!5).
% 3.12/2.26 tff(formula71, axiom,
% 3.12/2.26 k!0($i!val!17) = $i!val!17).
% 3.12/2.26 tff(formula72, axiom,
% 3.12/2.26 k!0($i!val!16) = $i!val!16).
% 3.12/2.26 tff(formula73, axiom,
% 3.12/2.26 k!0($i!val!15) = $i!val!15).
% 3.12/2.26 tff(formula74, axiom,
% 3.12/2.26 k!0($i!val!10) = $i!val!10).
% 3.12/2.26 tff(formula75, axiom,
% 3.12/2.26 k!0($i!val!13) = $i!val!13).
% 3.12/2.26 tff(formula76, axiom,
% 3.12/2.26 k!0($i!val!12) = $i!val!12).
% 3.12/2.26 tff(formula77, axiom,
% 3.12/2.26 k!0($i!val!14) = $i!val!14).
% 3.12/2.26 tff(formula78, axiom,
% 3.12/2.26 k!0($i!val!1) = $i!val!1).
% 3.12/2.26 tff(formula79, axiom,
% 3.12/2.26 k!0($i!val!0) = $i!val!0).
% 3.12/2.26 tff(formula80, axiom,
% 3.12/2.26 k!0($i!val!2) = $i!val!2).
% 3.12/2.26 tff(formula81, axiom,
% 3.12/2.26 k!0($i!val!7) = $i!val!7).
% 3.12/2.26 tff(formula82, axiom,
% 3.12/2.26 k!0($i!val!9) = $i!val!9).
% 3.12/2.26 tff(formula83, axiom,
% 3.12/2.26 k!0($i!val!3) = $i!val!3).
% 3.12/2.26 tff(formula84, axiom,
% 3.12/2.26 k!0($i!val!11) = $i!val!11).
% 3.12/2.27 tff(formula85, axiom,
% 3.12/2.27 k!0($i!val!8) = $i!val!8).
% 3.12/2.27 tff(formula86, axiom,
% 3.12/2.27 k!0($i!val!4) = $i!val!4).
% 3.12/2.27 tff(formula87, axiom,
% 3.12/2.27 k!0($i!val!5) = $i!val!5).
% 3.12/2.27 tff(formula88, axiom,
% 3.12/2.27 ![X0: $i] : ((~((($i!val!17 = X0)) | (($i!val!16 = X0)) | (($i!val!15 = X0)) | (($i!val!10 = X0)) | (($i!val!13 = X0)) | (($i!val!12 = X0)) | (($i!val!14 = X0)) | (($i!val!1 = X0)) | (($i!val!0 = X0)) | (($i!val!2 = X0)) | (($i!val!7 = X0)) | (($i!val!9 = X0)) | (($i!val!3 = X0)) | (($i!val!11 = X0)) | (($i!val!8 = X0)) | (($i!val!4 = X0)) | (($i!val!5 = X0)))) => (k!0(X0) = $i!val!6))).
% 3.12/2.27 tff(formula89, axiom,
% 3.12/2.27 ![X0: $i] : (c1_1(X0) <=> ((k!0(X0) = $i!val!0) | (k!0(X0) = $i!val!2) | (k!0(X0) = $i!val!3)))).
% 3.12/2.27 tff(formula90, axiom,
% 3.12/2.27 ![X0: $i] : (c0_1(X0) <=> $false)).
% 3.12/2.27 tff(formula91, axiom,
% 3.12/2.27 ![X0: $i] : (c2_1(X0) <=> ((k!0(X0) = $i!val!9) | (k!0(X0) = $i!val!15) | (k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!17) | (k!0(X0) = $i!val!8) | (k!0(X0) = $i!val!11) | (k!0(X0) = $i!val!16) | (k!0(X0) = $i!val!1) | (k!0(X0) = $i!val!14) | (k!0(X0) = $i!val!13) | (k!0(X0) = $i!val!7) | (k!0(X0) = $i!val!10) | (k!0(X0) = $i!val!12) | (k!0(X0) = $i!val!4) | (k!0(X0) = $i!val!6) | (k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!0) | (k!0(X0) = $i!val!2)))).
% 3.12/2.27 tff(formula92, axiom,
% 3.12/2.27 ![X0: $i] : (c3_1(X0) <=> ((k!0(X0) = $i!val!0) | (k!0(X0) = $i!val!2) | (k!0(X0) = $i!val!3)))).
% 3.12/2.27 % SZS output end Model
%------------------------------------------------------------------------------