TSTP Solution File: SYN528-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN528-1 : TPTP v8.1.0. Released v2.1.0.
% 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 : Thu Sep 29 23:56:13 EDT 2022
% Result : Satisfiable 0.20s 0.57s
% Output : Model 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN528-1 : TPTP v8.1.0. Released v2.1.0.
% 0.10/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Sep 5 05:14:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.20/0.57 % SZS status Satisfiable
% 0.20/0.57 % SZS output start Model
% 0.20/0.57 tff(tptp_fun__i_val_21_type, type, (
% 0.20/0.57 tptp_fun__i_val_21: $i)).
% 0.20/0.57 tff(a292_type, type, (
% 0.20/0.57 a292: $i)).
% 0.20/0.57 tff(tptp_fun__i_val_25_type, type, (
% 0.20/0.57 tptp_fun__i_val_25: $i)).
% 0.20/0.57 tff(a278_type, type, (
% 0.20/0.57 a278: $i)).
% 0.20/0.57 tff(tptp_fun__i_val_19_type, type, (
% 0.20/0.57 tptp_fun__i_val_19: $i)).
% 0.20/0.57 tff(a285_type, type, (
% 0.20/0.57 a285: $i)).
% 0.20/0.57 tff(ssSkC4_type, type, (
% 0.20/0.57 ssSkC4: $o)).
% 0.20/0.57 tff(tptp_fun__i_val_8_type, type, (
% 0.20/0.57 tptp_fun__i_val_8: $i)).
% 0.20/0.57 tff(a311_type, type, (
% 0.20/0.57 a311: $i)).
% 0.20/0.57 tff(ndr1_0_type, type, (
% 0.20/0.57 ndr1_0: $o)).
% 0.20/0.57 tff(ssSkC6_type, type, (
% 0.20/0.57 ssSkC6: $o)).
% 0.20/0.57 tff(tptp_fun__i_val_1_type, type, (
% 0.20/0.57 tptp_fun__i_val_1: $i)).
% 0.20/0.57 tff(a307_type, type, (
% 0.20/0.57 a307: $i)).
% 0.20/0.57 tff(ssSkC3_type, type, (
% 0.20/0.57 ssSkC3: $o)).
% 0.20/0.57 tff(ssSkC2_type, type, (
% 0.20/0.57 ssSkC2: $o)).
% 0.20/0.57 tff(a302_type, type, (
% 0.20/0.57 a302: $i)).
% 0.20/0.57 tff(tptp_fun__i_val_15_type, type, (
% 0.20/0.57 tptp_fun__i_val_15: $i)).
% 0.20/0.57 tff(a305_type, type, (
% 0.20/0.57 a305: $i)).
% 0.20/0.57 tff(tptp_fun__i_val_4_type, type, (
% 0.20/0.57 tptp_fun__i_val_4: $i)).
% 0.20/0.57 tff(a309_type, type, (
% 0.20/0.57 a309: $i)).
% 0.20/0.57 tff(tptp_fun__i_val_17_type, type, (
% 0.20/0.57 tptp_fun__i_val_17: $i)).
% 0.20/0.57 tff(a284_type, type, (
% 0.20/0.57 a284: $i)).
% 0.20/0.57 tff(ssSkC0_type, type, (
% 0.20/0.57 ssSkC0: $o)).
% 0.20/0.57 tff(a303_type, type, (
% 0.20/0.57 a303: $i)).
% 0.20/0.57 tff(tptp_fun__i_val_9_type, type, (
% 0.20/0.57 tptp_fun__i_val_9: $i)).
% 0.20/0.57 tff(a310_type, type, (
% 0.20/0.57 a310: $i)).
% 0.20/0.57 tff(a304_type, type, (
% 0.20/0.57 a304: $i)).
% 0.20/0.57 tff(tptp_fun__i_val_5_type, type, (
% 0.20/0.57 tptp_fun__i_val_5: $i)).
% 0.20/0.57 tff(a286_type, type, (
% 0.20/0.57 a286: $i)).
% 0.20/0.57 tff(tptp_fun__i_val_2_type, type, (
% 0.20/0.57 tptp_fun__i_val_2: $i)).
% 0.20/0.57 tff(a294_type, type, (
% 0.20/0.57 a294: $i)).
% 0.20/0.57 tff(tptp_fun__i_val_3_type, type, (
% 0.20/0.57 tptp_fun__i_val_3: $i)).
% 0.20/0.57 tff(a313_type, type, (
% 0.20/0.57 a313: $i)).
% 0.20/0.57 tff(tptp_fun__i_val_11_type, type, (
% 0.20/0.57 tptp_fun__i_val_11: $i)).
% 0.20/0.57 tff(a277_type, type, (
% 0.20/0.57 a277: $i)).
% 0.20/0.57 tff(tptp_fun__i_val_23_type, type, (
% 0.20/0.57 tptp_fun__i_val_23: $i)).
% 0.20/0.57 tff(a291_type, type, (
% 0.20/0.57 a291: $i)).
% 0.20/0.57 tff(a300_type, type, (
% 0.20/0.57 a300: $i)).
% 0.20/0.57 tff(tptp_fun__i_val_7_type, type, (
% 0.20/0.57 tptp_fun__i_val_7: $i)).
% 0.20/0.57 tff(a295_type, type, (
% 0.20/0.57 a295: $i)).
% 0.20/0.57 tff(c1_0_type, type, (
% 0.20/0.57 c1_0: $o)).
% 0.20/0.57 tff(tptp_fun__i_val_6_type, type, (
% 0.20/0.57 tptp_fun__i_val_6: $i)).
% 0.20/0.57 tff(a308_type, type, (
% 0.20/0.57 a308: $i)).
% 0.20/0.57 tff(tptp_fun__i_val_18_type, type, (
% 0.20/0.57 tptp_fun__i_val_18: $i)).
% 0.20/0.57 tff(a283_type, type, (
% 0.20/0.57 a283: $i)).
% 0.20/0.57 tff(ssSkC5_type, type, (
% 0.20/0.57 ssSkC5: $o)).
% 0.20/0.57 tff(a301_type, type, (
% 0.20/0.57 a301: $i)).
% 0.20/0.57 tff(tptp_fun__i_val_0_type, type, (
% 0.20/0.57 tptp_fun__i_val_0: $i)).
% 0.20/0.57 tff(a312_type, type, (
% 0.20/0.57 a312: $i)).
% 0.20/0.57 tff(tptp_fun__i_val_10_type, type, (
% 0.20/0.57 tptp_fun__i_val_10: $i)).
% 0.20/0.57 tff(a297_type, type, (
% 0.20/0.57 a297: $i)).
% 0.20/0.57 tff(tptp_fun__i_val_20_type, type, (
% 0.20/0.57 tptp_fun__i_val_20: $i)).
% 0.20/0.57 tff(a306_type, type, (
% 0.20/0.57 a306: $i)).
% 0.20/0.57 tff(a290_type, type, (
% 0.20/0.57 a290: $i)).
% 0.20/0.57 tff(ssSkC1_type, type, (
% 0.20/0.57 ssSkC1: $o)).
% 0.20/0.57 tff(a279_type, type, (
% 0.20/0.57 a279: $i)).
% 0.20/0.57 tff(tptp_fun__i_val_22_type, type, (
% 0.20/0.57 tptp_fun__i_val_22: $i)).
% 0.20/0.57 tff(a281_type, type, (
% 0.20/0.57 a281: $i)).
% 0.20/0.57 tff(tptp_fun__i_val_12_type, type, (
% 0.20/0.57 tptp_fun__i_val_12: $i)).
% 0.20/0.57 tff(a298_type, type, (
% 0.20/0.57 a298: $i)).
% 0.20/0.57 tff(tptp_fun__i_val_14_type, type, (
% 0.20/0.57 tptp_fun__i_val_14: $i)).
% 0.20/0.57 tff(a287_type, type, (
% 0.20/0.57 a287: $i)).
% 0.20/0.57 tff(a280_type, type, (
% 0.20/0.57 a280: $i)).
% 0.20/0.57 tff(tptp_fun__i_val_13_type, type, (
% 0.20/0.57 tptp_fun__i_val_13: $i)).
% 0.20/0.57 tff(a288_type, type, (
% 0.20/0.57 a288: $i)).
% 0.20/0.57 tff(c5_0_type, type, (
% 0.20/0.57 c5_0: $o)).
% 0.20/0.57 tff(c4_0_type, type, (
% 0.20/0.57 c4_0: $o)).
% 0.20/0.57 tff(tptp_fun__i_val_16_type, type, (
% 0.20/0.57 tptp_fun__i_val_16: $i)).
% 0.20/0.57 tff(a289_type, type, (
% 0.20/0.57 a289: $i)).
% 0.20/0.57 tff(tptp_fun__i_val_24_type, type, (
% 0.20/0.57 tptp_fun__i_val_24: $i)).
% 0.20/0.57 tff(a282_type, type, (
% 0.20/0.57 a282: $i)).
% 0.20/0.57 tff(c3_0_type, type, (
% 0.20/0.57 c3_0: $o)).
% 0.20/0.57 tff(c2_0_type, type, (
% 0.20/0.57 c2_0: $o)).
% 0.20/0.57 tff(c4_1_type, type, (
% 0.20/0.57 c4_1: $i > $o)).
% 0.20/0.57 tff(c1_1_type, type, (
% 0.20/0.57 c1_1: $i > $o)).
% 0.20/0.57 tff(k!597_type, type, (
% 0.20/0.57 k!597: $i > $i)).
% 0.20/0.57 tff(ssSkP0_type, type, (
% 0.20/0.57 ssSkP0: $i > $o)).
% 0.20/0.57 tff(k!598_type, type, (
% 0.20/0.57 k!598: $i > $i)).
% 0.20/0.57 tff(c4_2_type, type, (
% 0.20/0.57 c4_2: ( $i * $i ) > $o)).
% 0.20/0.57 tff(ndr1_1_type, type, (
% 0.20/0.57 ndr1_1: $i > $o)).
% 0.20/0.57 tff(c5_2_type, type, (
% 0.20/0.57 c5_2: ( $i * $i ) > $o)).
% 0.20/0.57 tff(ssSkP3_type, type, (
% 0.20/0.57 ssSkP3: $i > $o)).
% 0.20/0.57 tff(c5_1_type, type, (
% 0.20/0.57 c5_1: $i > $o)).
% 0.20/0.57 tff(c3_1_type, type, (
% 0.20/0.57 c3_1: $i > $o)).
% 0.20/0.57 tff(c2_1_type, type, (
% 0.20/0.57 c2_1: $i > $o)).
% 0.20/0.57 tff(ssSkP1_type, type, (
% 0.20/0.57 ssSkP1: $i > $o)).
% 0.20/0.57 tff(c3_2_type, type, (
% 0.20/0.57 c3_2: ( $i * $i ) > $o)).
% 0.20/0.57 tff(ssSkP2_type, type, (
% 0.20/0.57 ssSkP2: $i > $o)).
% 0.20/0.57 tff(c2_2_type, type, (
% 0.20/0.57 c2_2: ( $i * $i ) > $o)).
% 0.20/0.57 tff(c1_2_type, type, (
% 0.20/0.57 c1_2: ( $i * $i ) > $o)).
% 0.20/0.57 tff(formula1, axiom,
% 0.20/0.57 a292 = $i!val!21).
% 0.20/0.57 tff(formula2, axiom,
% 0.20/0.57 a278 = $i!val!25).
% 0.20/0.57 tff(formula3, axiom,
% 0.20/0.57 a285 = $i!val!19).
% 0.20/0.57 tff(formula4, axiom,
% 0.20/0.57 ssSkC4 <=> $false).
% 0.20/0.57 tff(formula5, axiom,
% 0.20/0.57 a311 = $i!val!8).
% 0.20/0.57 tff(formula6, axiom,
% 0.20/0.57 ndr1_0 <=> $true).
% 0.20/0.57 tff(formula7, axiom,
% 0.20/0.57 ssSkC6 <=> $true).
% 0.20/0.57 tff(formula8, axiom,
% 0.20/0.57 a307 = $i!val!1).
% 0.20/0.57 tff(formula9, axiom,
% 0.20/0.57 ssSkC3 <=> $false).
% 0.20/0.57 tff(formula10, axiom,
% 0.20/0.57 ssSkC2 <=> $false).
% 0.20/0.57 tff(formula11, axiom,
% 0.20/0.57 a302 = $i!val!19).
% 0.20/0.57 tff(formula12, axiom,
% 0.20/0.57 a305 = $i!val!15).
% 0.20/0.57 tff(formula13, axiom,
% 0.20/0.57 a309 = $i!val!4).
% 0.20/0.57 tff(formula14, axiom,
% 0.20/0.57 a284 = $i!val!17).
% 0.20/0.57 tff(formula15, axiom,
% 0.20/0.57 ssSkC0 <=> $false).
% 0.20/0.57 tff(formula16, axiom,
% 0.20/0.57 a303 = $i!val!19).
% 0.20/0.57 tff(formula17, axiom,
% 0.20/0.57 a310 = $i!val!9).
% 0.20/0.57 tff(formula18, axiom,
% 0.20/0.57 a304 = $i!val!19).
% 0.20/0.57 tff(formula19, axiom,
% 0.20/0.57 a286 = $i!val!5).
% 0.20/0.57 tff(formula20, axiom,
% 0.20/0.57 a294 = $i!val!2).
% 0.20/0.57 tff(formula21, axiom,
% 0.20/0.57 a313 = $i!val!3).
% 0.20/0.57 tff(formula22, axiom,
% 0.20/0.57 a277 = $i!val!11).
% 0.20/0.57 tff(formula23, axiom,
% 0.20/0.57 a291 = $i!val!23).
% 0.20/0.57 tff(formula24, axiom,
% 0.20/0.57 a300 = $i!val!19).
% 0.20/0.57 tff(formula25, axiom,
% 0.20/0.57 a295 = $i!val!7).
% 0.20/0.57 tff(formula26, axiom,
% 0.20/0.57 c1_0 <=> $true).
% 0.20/0.57 tff(formula27, axiom,
% 0.20/0.57 a308 = $i!val!6).
% 0.20/0.57 tff(formula28, axiom,
% 0.20/0.57 a283 = $i!val!18).
% 0.20/0.57 tff(formula29, axiom,
% 0.20/0.57 ssSkC5 <=> $true).
% 0.20/0.57 tff(formula30, axiom,
% 0.20/0.57 a301 = $i!val!19).
% 0.20/0.57 tff(formula31, axiom,
% 0.20/0.57 a312 = $i!val!0).
% 0.20/0.57 tff(formula32, axiom,
% 0.20/0.57 a297 = $i!val!10).
% 0.20/0.57 tff(formula33, axiom,
% 0.20/0.57 a306 = $i!val!20).
% 0.20/0.57 tff(formula34, axiom,
% 0.20/0.57 a290 = $i!val!19).
% 0.20/0.57 tff(formula35, axiom,
% 0.20/0.57 ssSkC1 <=> $true).
% 0.20/0.57 tff(formula36, axiom,
% 0.20/0.57 a279 = $i!val!19).
% 0.20/0.57 tff(formula37, axiom,
% 0.20/0.57 a281 = $i!val!22).
% 0.20/0.57 tff(formula38, axiom,
% 0.20/0.57 a298 = $i!val!12).
% 0.20/0.57 tff(formula39, axiom,
% 0.20/0.57 a287 = $i!val!14).
% 0.20/0.57 tff(formula40, axiom,
% 0.20/0.57 a280 = $i!val!19).
% 0.20/0.57 tff(formula41, axiom,
% 0.20/0.57 a288 = $i!val!13).
% 0.20/0.57 tff(formula42, axiom,
% 0.20/0.57 c5_0 <=> $true).
% 0.20/0.57 tff(formula43, axiom,
% 0.20/0.57 c4_0 <=> $true).
% 0.20/0.57 tff(formula44, axiom,
% 0.20/0.57 a289 = $i!val!16).
% 0.20/0.57 tff(formula45, axiom,
% 0.20/0.57 a282 = $i!val!24).
% 0.20/0.57 tff(formula46, axiom,
% 0.20/0.57 c3_0 <=> $true).
% 0.20/0.57 tff(formula47, axiom,
% 0.20/0.57 c2_0 <=> $true).
% 0.20/0.57 tff(formula48, axiom,
% 0.20/0.57 ![X0: $i] : (c4_1(X0) <=> $false)).
% 0.20/0.57 tff(formula49, axiom,
% 0.20/0.57 ![X0: $i] : (c1_1(X0) <=> $false)).
% 0.20/0.57 tff(formula50, axiom,
% 0.20/0.57 ![X0: $i] : (ssSkP0(X0) <=> ((k!597(X0) = $i!val!5) | (k!597(X0) = $i!val!4) | (k!597(X0) = $i!val!10) | (k!597(X0) = $i!val!0) | (k!597(X0) = $i!val!1)))).
% 0.20/0.57 tff(formula51, axiom,
% 0.20/0.57 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((k!597(X1) = $i!val!2) & (k!598(X0) = $i!val!16)) | ((k!597(X1) = $i!val!3) & (k!598(X0) = $i!val!17)) | ((k!597(X1) = $i!val!7) & (k!598(X0) = $i!val!19)) | ((k!597(X1) = $i!val!11) & (k!598(X0) = $i!val!16)) | ((k!597(X1) = $i!val!8) & (k!598(X0) = $i!val!17)) | ((k!597(X1) = $i!val!7) & (k!598(X0) = $i!val!17)) | ((k!597(X1) = $i!val!13) & (k!598(X0) = $i!val!17)) | ((k!597(X1) = $i!val!22) & (k!598(X0) = $i!val!16)) | ((k!597(X1) = $i!val!21) & (k!598(X0) = $i!val!17)) | ((k!597(X1) = $i!val!7) & (k!598(X0) = $i!val!15)) | ((k!597(X1) = $i!val!22) & (k!598(X0) = $i!val!17)) | ((k!597(X1) = $i!val!2) & (k!598(X0) = $i!val!17)) | ((k!597(X1) = $i!val!7) & (k!598(X0) = $i!val!16)) | ((k!597(X1) = $i!val!7) & (k!598(X0) = $i!val!6)) | ((k!597(X1) = $i!val!7) & (k!598(X0) = $i!val!23)) | ((k!597(X1) = $i!val!7) & (k!598(X0) = $i!val!25)) | ((k!597(X1) = $i!val!11) & (k!598(X0) = $i!val!15)) | ((k!597(X1) = $i!val!22) & (k!598(X0) = $i!val!15))))).
% 0.20/0.57 tff(formula52, axiom,
% 0.20/0.57 ![X0: $i] : (ndr1_1(X0) <=> ((k!597(X0) = $i!val!3) | (k!597(X0) = $i!val!13) | (k!597(X0) = $i!val!2) | (k!597(X0) = $i!val!8) | (k!597(X0) = $i!val!21) | (k!597(X0) = $i!val!11) | (k!597(X0) = $i!val!22) | (k!597(X0) = $i!val!7)))).
% 0.20/0.57 tff(formula53, axiom,
% 0.20/0.57 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((k!597(X1) = $i!val!7) & (k!598(X0) = $i!val!12)) | ((k!597(X1) = $i!val!7) & (k!598(X0) = $i!val!24)) | ((k!597(X1) = $i!val!7) & (k!598(X0) = $i!val!20)) | ((k!597(X1) = $i!val!7) & (k!598(X0) = $i!val!9)) | ((k!597(X1) = $i!val!11) & (k!598(X0) = $i!val!15)) | ((k!597(X1) = $i!val!22) & (k!598(X0) = $i!val!15)) | ((k!597(X1) = $i!val!7) & (k!598(X0) = $i!val!18)) | ((k!597(X1) = $i!val!7) & (k!598(X0) = $i!val!14))))).
% 0.20/0.58 tff(formula54, axiom,
% 0.20/0.58 ![X0: $i] : (ssSkP3(X0) <=> ((k!597(X0) = $i!val!3) | (k!597(X0) = $i!val!5) | (k!597(X0) = $i!val!13) | (k!597(X0) = $i!val!2) | (k!597(X0) = $i!val!8) | (k!597(X0) = $i!val!4) | (k!597(X0) = $i!val!21) | (k!597(X0) = $i!val!10) | (k!597(X0) = $i!val!0) | (k!597(X0) = $i!val!1) | (k!597(X0) = $i!val!7)))).
% 0.20/0.58 tff(formula55, axiom,
% 0.20/0.58 ![X0: $i] : (c5_1(X0) <=> $false)).
% 0.20/0.58 tff(formula56, axiom,
% 0.20/0.58 k!598($i!val!25) = $i!val!25).
% 0.20/0.58 tff(formula57, axiom,
% 0.20/0.58 k!598($i!val!9) = $i!val!9).
% 0.20/0.58 tff(formula58, axiom,
% 0.20/0.58 k!598($i!val!16) = $i!val!16).
% 0.20/0.58 tff(formula59, axiom,
% 0.20/0.58 k!598($i!val!23) = $i!val!23).
% 0.20/0.58 tff(formula60, axiom,
% 0.20/0.58 k!598($i!val!18) = $i!val!18).
% 0.20/0.58 tff(formula61, axiom,
% 0.20/0.58 k!598($i!val!6) = $i!val!6).
% 0.20/0.58 tff(formula62, axiom,
% 0.20/0.58 k!598($i!val!14) = $i!val!14).
% 0.20/0.58 tff(formula63, axiom,
% 0.20/0.58 k!598($i!val!12) = $i!val!12).
% 0.20/0.58 tff(formula64, axiom,
% 0.20/0.58 k!598($i!val!15) = $i!val!15).
% 0.20/0.58 tff(formula65, axiom,
% 0.20/0.58 k!598($i!val!20) = $i!val!20).
% 0.20/0.58 tff(formula66, axiom,
% 0.20/0.58 k!598($i!val!24) = $i!val!24).
% 0.20/0.58 tff(formula67, axiom,
% 0.20/0.58 k!598($i!val!17) = $i!val!17).
% 0.20/0.58 tff(formula68, axiom,
% 0.20/0.58 ![X0: $i] : ((~((($i!val!25 = X0)) | (($i!val!9 = X0)) | (($i!val!16 = X0)) | (($i!val!23 = X0)) | (($i!val!18 = X0)) | (($i!val!6 = X0)) | (($i!val!14 = X0)) | (($i!val!12 = X0)) | (($i!val!15 = X0)) | (($i!val!20 = X0)) | (($i!val!24 = X0)) | (($i!val!17 = X0)))) => (k!598(X0) = $i!val!19))).
% 0.20/0.58 tff(formula69, axiom,
% 0.20/0.58 k!597($i!val!0) = $i!val!0).
% 0.20/0.58 tff(formula70, axiom,
% 0.20/0.58 k!597($i!val!7) = $i!val!7).
% 0.20/0.58 tff(formula71, axiom,
% 0.20/0.58 k!597($i!val!22) = $i!val!22).
% 0.20/0.58 tff(formula72, axiom,
% 0.20/0.58 k!597($i!val!8) = $i!val!8).
% 0.20/0.58 tff(formula73, axiom,
% 0.20/0.58 k!597($i!val!1) = $i!val!1).
% 0.20/0.58 tff(formula74, axiom,
% 0.20/0.58 k!597($i!val!5) = $i!val!5).
% 0.20/0.58 tff(formula75, axiom,
% 0.20/0.58 k!597($i!val!13) = $i!val!13).
% 0.20/0.58 tff(formula76, axiom,
% 0.20/0.58 k!597($i!val!2) = $i!val!2).
% 0.20/0.58 tff(formula77, axiom,
% 0.20/0.58 k!597($i!val!10) = $i!val!10).
% 0.20/0.58 tff(formula78, axiom,
% 0.20/0.58 k!597($i!val!4) = $i!val!4).
% 0.20/0.58 tff(formula79, axiom,
% 0.20/0.58 k!597($i!val!3) = $i!val!3).
% 0.20/0.58 tff(formula80, axiom,
% 0.20/0.58 k!597($i!val!11) = $i!val!11).
% 0.20/0.58 tff(formula81, axiom,
% 0.20/0.58 ![X0: $i] : ((~((($i!val!0 = X0)) | (($i!val!7 = X0)) | (($i!val!22 = X0)) | (($i!val!8 = X0)) | (($i!val!1 = X0)) | (($i!val!5 = X0)) | (($i!val!13 = X0)) | (($i!val!2 = X0)) | (($i!val!10 = X0)) | (($i!val!4 = X0)) | (($i!val!3 = X0)) | (($i!val!11 = X0)))) => (k!597(X0) = $i!val!21))).
% 0.20/0.58 tff(formula82, axiom,
% 0.20/0.58 ![X0: $i] : (c3_1(X0) <=> (k!597(X0) = $i!val!2))).
% 0.20/0.58 tff(formula83, axiom,
% 0.20/0.58 ![X0: $i] : (c2_1(X0) <=> $false)).
% 0.20/0.58 tff(formula84, axiom,
% 0.20/0.58 ![X0: $i] : (ssSkP1(X0) <=> ((k!597(X0) = $i!val!5) | (k!597(X0) = $i!val!4) | (k!597(X0) = $i!val!10) | (k!597(X0) = $i!val!0) | (k!597(X0) = $i!val!1) | (k!597(X0) = $i!val!11)))).
% 0.20/0.58 tff(formula85, axiom,
% 0.20/0.58 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (((k!597(X1) = $i!val!11) & (k!598(X0) = $i!val!15)) | ((k!597(X1) = $i!val!22) & (k!598(X0) = $i!val!15))))).
% 0.20/0.58 tff(formula86, axiom,
% 0.20/0.58 ![X0: $i] : (ssSkP2(X0) <=> ((k!597(X0) = $i!val!3) | (k!597(X0) = $i!val!5) | (k!597(X0) = $i!val!13) | (k!597(X0) = $i!val!8) | (k!597(X0) = $i!val!4) | (k!597(X0) = $i!val!21) | (k!597(X0) = $i!val!10) | (k!597(X0) = $i!val!0) | (k!597(X0) = $i!val!1)))).
% 0.20/0.58 tff(formula87, axiom,
% 0.20/0.58 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> $false)).
% 0.20/0.58 tff(formula88, axiom,
% 0.20/0.58 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $false)).
% 0.20/0.58 % SZS output end Model
%------------------------------------------------------------------------------