TSTP Solution File: SYN514+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN514+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n013.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 23:56:07 EDT 2022
% Result : CounterSatisfiable 2.72s 1.97s
% Output : Model 2.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN514+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n013.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 04:52:17 EDT 2022
% 0.12/0.34 % 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.
% 2.72/1.97 % SZS status CounterSatisfiable
% 2.72/1.97 % SZS output start Model
% 2.72/1.97 tff(tptp_fun__i_val_26_type, type, (
% 2.72/1.97 tptp_fun__i_val_26: $i)).
% 2.72/1.97 tff(a190_type, type, (
% 2.72/1.97 a190: $i)).
% 2.72/1.97 tff(a249_type, type, (
% 2.72/1.97 a249: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_38_type, type, (
% 2.72/1.97 tptp_fun__i_val_38: $i)).
% 2.72/1.97 tff(a226_type, type, (
% 2.72/1.97 a226: $i)).
% 2.72/1.97 tff(c3_0_type, type, (
% 2.72/1.97 c3_0: $o)).
% 2.72/1.97 tff(tptp_fun__i_val_9_type, type, (
% 2.72/1.97 tptp_fun__i_val_9: $i)).
% 2.72/1.97 tff(a199_type, type, (
% 2.72/1.97 a199: $i)).
% 2.72/1.97 tff(ndr1_0_type, type, (
% 2.72/1.97 ndr1_0: $o)).
% 2.72/1.97 tff(tptp_fun__i_val_2_type, type, (
% 2.72/1.97 tptp_fun__i_val_2: $i)).
% 2.72/1.97 tff(a182_type, type, (
% 2.72/1.97 a182: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_6_type, type, (
% 2.72/1.97 tptp_fun__i_val_6: $i)).
% 2.72/1.97 tff(a191_type, type, (
% 2.72/1.97 a191: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_33_type, type, (
% 2.72/1.97 tptp_fun__i_val_33: $i)).
% 2.72/1.97 tff(a206_type, type, (
% 2.72/1.97 a206: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_5_type, type, (
% 2.72/1.97 tptp_fun__i_val_5: $i)).
% 2.72/1.97 tff(a189_type, type, (
% 2.72/1.97 a189: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_20_type, type, (
% 2.72/1.97 tptp_fun__i_val_20: $i)).
% 2.72/1.97 tff(a253_type, type, (
% 2.72/1.97 a253: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_23_type, type, (
% 2.72/1.97 tptp_fun__i_val_23: $i)).
% 2.72/1.97 tff(a260_type, type, (
% 2.72/1.97 a260: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_1_type, type, (
% 2.72/1.97 tptp_fun__i_val_1: $i)).
% 2.72/1.97 tff(a179_type, type, (
% 2.72/1.97 a179: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_31_type, type, (
% 2.72/1.97 tptp_fun__i_val_31: $i)).
% 2.72/1.97 tff(a222_type, type, (
% 2.72/1.97 a222: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_14_type, type, (
% 2.72/1.97 tptp_fun__i_val_14: $i)).
% 2.72/1.97 tff(a210_type, type, (
% 2.72/1.97 a210: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_32_type, type, (
% 2.72/1.97 tptp_fun__i_val_32: $i)).
% 2.72/1.97 tff(a224_type, type, (
% 2.72/1.97 a224: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_7_type, type, (
% 2.72/1.97 tptp_fun__i_val_7: $i)).
% 2.72/1.97 tff(a192_type, type, (
% 2.72/1.97 a192: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_15_type, type, (
% 2.72/1.97 tptp_fun__i_val_15: $i)).
% 2.72/1.97 tff(a211_type, type, (
% 2.72/1.97 a211: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_34_type, type, (
% 2.72/1.97 tptp_fun__i_val_34: $i)).
% 2.72/1.97 tff(a218_type, type, (
% 2.72/1.97 a218: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_27_type, type, (
% 2.72/1.97 tptp_fun__i_val_27: $i)).
% 2.72/1.97 tff(a181_type, type, (
% 2.72/1.97 a181: $i)).
% 2.72/1.97 tff(a184_type, type, (
% 2.72/1.97 a184: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_21_type, type, (
% 2.72/1.97 tptp_fun__i_val_21: $i)).
% 2.72/1.97 tff(a254_type, type, (
% 2.72/1.97 a254: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_3_type, type, (
% 2.72/1.97 tptp_fun__i_val_3: $i)).
% 2.72/1.97 tff(a185_type, type, (
% 2.72/1.97 a185: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_13_type, type, (
% 2.72/1.97 tptp_fun__i_val_13: $i)).
% 2.72/1.97 tff(a209_type, type, (
% 2.72/1.97 a209: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_28_type, type, (
% 2.72/1.97 tptp_fun__i_val_28: $i)).
% 2.72/1.97 tff(a221_type, type, (
% 2.72/1.97 a221: $i)).
% 2.72/1.97 tff(c1_0_type, type, (
% 2.72/1.97 c1_0: $o)).
% 2.72/1.97 tff(tptp_fun__i_val_18_type, type, (
% 2.72/1.97 tptp_fun__i_val_18: $i)).
% 2.72/1.97 tff(a243_type, type, (
% 2.72/1.97 a243: $i)).
% 2.72/1.97 tff(c2_0_type, type, (
% 2.72/1.97 c2_0: $o)).
% 2.72/1.97 tff(tptp_fun__i_val_36_type, type, (
% 2.72/1.97 tptp_fun__i_val_36: $i)).
% 2.72/1.97 tff(a196_type, type, (
% 2.72/1.97 a196: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_10_type, type, (
% 2.72/1.97 tptp_fun__i_val_10: $i)).
% 2.72/1.97 tff(a200_type, type, (
% 2.72/1.97 a200: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_11_type, type, (
% 2.72/1.97 tptp_fun__i_val_11: $i)).
% 2.72/1.97 tff(a201_type, type, (
% 2.72/1.97 a201: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_8_type, type, (
% 2.72/1.97 tptp_fun__i_val_8: $i)).
% 2.72/1.97 tff(a193_type, type, (
% 2.72/1.97 a193: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_16_type, type, (
% 2.72/1.97 tptp_fun__i_val_16: $i)).
% 2.72/1.97 tff(a219_type, type, (
% 2.72/1.97 a219: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_4_type, type, (
% 2.72/1.97 tptp_fun__i_val_4: $i)).
% 2.72/1.97 tff(a188_type, type, (
% 2.72/1.97 a188: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_17_type, type, (
% 2.72/1.97 tptp_fun__i_val_17: $i)).
% 2.72/1.97 tff(a225_type, type, (
% 2.72/1.97 a225: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_12_type, type, (
% 2.72/1.97 tptp_fun__i_val_12: $i)).
% 2.72/1.97 tff(a202_type, type, (
% 2.72/1.97 a202: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_19_type, type, (
% 2.72/1.97 tptp_fun__i_val_19: $i)).
% 2.72/1.97 tff(a248_type, type, (
% 2.72/1.97 a248: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_0_type, type, (
% 2.72/1.97 tptp_fun__i_val_0: $i)).
% 2.72/1.97 tff(a177_type, type, (
% 2.72/1.97 a177: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_22_type, type, (
% 2.72/1.97 tptp_fun__i_val_22: $i)).
% 2.72/1.97 tff(a259_type, type, (
% 2.72/1.97 a259: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_24_type, type, (
% 2.72/1.97 tptp_fun__i_val_24: $i)).
% 2.72/1.97 tff(a262_type, type, (
% 2.72/1.97 a262: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_39_type, type, (
% 2.72/1.97 tptp_fun__i_val_39: $i)).
% 2.72/1.97 tff(a250_type, type, (
% 2.72/1.97 a250: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_25_type, type, (
% 2.72/1.97 tptp_fun__i_val_25: $i)).
% 2.72/1.97 tff(a213_type, type, (
% 2.72/1.97 a213: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_29_type, type, (
% 2.72/1.97 tptp_fun__i_val_29: $i)).
% 2.72/1.97 tff(a217_type, type, (
% 2.72/1.97 a217: $i)).
% 2.72/1.97 tff(c5_0_type, type, (
% 2.72/1.97 c5_0: $o)).
% 2.72/1.97 tff(tptp_fun__i_val_35_type, type, (
% 2.72/1.97 tptp_fun__i_val_35: $i)).
% 2.72/1.97 tff(a216_type, type, (
% 2.72/1.97 a216: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_30_type, type, (
% 2.72/1.97 tptp_fun__i_val_30: $i)).
% 2.72/1.97 tff(a223_type, type, (
% 2.72/1.97 a223: $i)).
% 2.72/1.97 tff(tptp_fun__i_val_37_type, type, (
% 2.72/1.97 tptp_fun__i_val_37: $i)).
% 2.72/1.97 tff(a234_type, type, (
% 2.72/1.97 a234: $i)).
% 2.72/1.97 tff(c4_0_type, type, (
% 2.72/1.97 c4_0: $o)).
% 2.72/1.97 tff(k!1888_type, type, (
% 2.72/1.97 k!1888: $i > $i)).
% 2.72/1.97 tff(k!1889_type, type, (
% 2.72/1.97 k!1889: $i > $i)).
% 2.72/1.97 tff(c5_2_type, type, (
% 2.72/1.97 c5_2: ( $i * $i ) > $o)).
% 2.72/1.97 tff(c4_1_type, type, (
% 2.72/1.97 c4_1: $i > $o)).
% 2.72/1.97 tff(c5_1_type, type, (
% 2.72/1.97 c5_1: $i > $o)).
% 2.72/1.97 tff(c1_1_type, type, (
% 2.72/1.97 c1_1: $i > $o)).
% 2.72/1.97 tff(c3_1_type, type, (
% 2.72/1.97 c3_1: $i > $o)).
% 2.72/1.97 tff(c2_1_type, type, (
% 2.72/1.97 c2_1: $i > $o)).
% 2.72/1.97 tff(c3_2_type, type, (
% 2.72/1.97 c3_2: ( $i * $i ) > $o)).
% 2.72/1.97 tff(c2_2_type, type, (
% 2.72/1.97 c2_2: ( $i * $i ) > $o)).
% 2.72/1.97 tff(c4_2_type, type, (
% 2.72/1.97 c4_2: ( $i * $i ) > $o)).
% 2.72/1.97 tff(c1_2_type, type, (
% 2.72/1.97 c1_2: ( $i * $i ) > $o)).
% 2.72/1.97 tff(ndr1_1_type, type, (
% 2.72/1.97 ndr1_1: $i > $o)).
% 2.72/1.97 tff(formula1, axiom,
% 2.72/1.97 a190 = $i!val!26).
% 2.72/1.97 tff(formula2, axiom,
% 2.72/1.97 a249 = $i!val!26).
% 2.72/1.97 tff(formula3, axiom,
% 2.72/1.97 a226 = $i!val!38).
% 2.72/1.97 tff(formula4, axiom,
% 2.72/1.97 c3_0 <=> $false).
% 2.72/1.97 tff(formula5, axiom,
% 2.72/1.97 a199 = $i!val!9).
% 2.72/1.97 tff(formula6, axiom,
% 2.72/1.97 ndr1_0 <=> $true).
% 2.72/1.97 tff(formula7, axiom,
% 2.72/1.97 a182 = $i!val!2).
% 2.72/1.97 tff(formula8, axiom,
% 2.72/1.97 a191 = $i!val!6).
% 2.72/1.97 tff(formula9, axiom,
% 2.72/1.97 a206 = $i!val!33).
% 2.72/1.97 tff(formula10, axiom,
% 2.72/1.97 a189 = $i!val!5).
% 2.72/1.97 tff(formula11, axiom,
% 2.72/1.97 a253 = $i!val!20).
% 2.72/1.97 tff(formula12, axiom,
% 2.72/1.97 a260 = $i!val!23).
% 2.72/1.97 tff(formula13, axiom,
% 2.72/1.97 a179 = $i!val!1).
% 2.72/1.97 tff(formula14, axiom,
% 2.72/1.97 a222 = $i!val!31).
% 2.72/1.97 tff(formula15, axiom,
% 2.72/1.97 a210 = $i!val!14).
% 2.72/1.97 tff(formula16, axiom,
% 2.72/1.97 a224 = $i!val!32).
% 2.72/1.97 tff(formula17, axiom,
% 2.72/1.97 a192 = $i!val!7).
% 2.72/1.97 tff(formula18, axiom,
% 2.72/1.97 a211 = $i!val!15).
% 2.72/1.97 tff(formula19, axiom,
% 2.72/1.97 a218 = $i!val!34).
% 2.72/1.97 tff(formula20, axiom,
% 2.72/1.97 a181 = $i!val!27).
% 2.72/1.97 tff(formula21, axiom,
% 2.72/1.97 a184 = $i!val!26).
% 2.72/1.97 tff(formula22, axiom,
% 2.72/1.97 a254 = $i!val!21).
% 2.72/1.97 tff(formula23, axiom,
% 2.72/1.97 a185 = $i!val!3).
% 2.72/1.97 tff(formula24, axiom,
% 2.72/1.97 a209 = $i!val!13).
% 2.72/1.97 tff(formula25, axiom,
% 2.72/1.97 a221 = $i!val!28).
% 2.72/1.97 tff(formula26, axiom,
% 2.72/1.97 c1_0 <=> $true).
% 2.72/1.97 tff(formula27, axiom,
% 2.72/1.97 a243 = $i!val!18).
% 2.72/1.97 tff(formula28, axiom,
% 2.72/1.97 c2_0 <=> $false).
% 2.72/1.97 tff(formula29, axiom,
% 2.72/1.97 a196 = $i!val!36).
% 2.72/1.97 tff(formula30, axiom,
% 2.72/1.97 a200 = $i!val!10).
% 2.72/1.97 tff(formula31, axiom,
% 2.72/1.97 a201 = $i!val!11).
% 2.72/1.97 tff(formula32, axiom,
% 2.72/1.97 a193 = $i!val!8).
% 2.72/1.97 tff(formula33, axiom,
% 2.72/1.97 a219 = $i!val!16).
% 2.72/1.97 tff(formula34, axiom,
% 2.72/1.97 a188 = $i!val!4).
% 2.72/1.97 tff(formula35, axiom,
% 2.72/1.97 a225 = $i!val!17).
% 2.72/1.97 tff(formula36, axiom,
% 2.72/1.97 a202 = $i!val!12).
% 2.72/1.97 tff(formula37, axiom,
% 2.72/1.97 a248 = $i!val!19).
% 2.72/1.97 tff(formula38, axiom,
% 2.72/1.97 a177 = $i!val!0).
% 2.72/1.97 tff(formula39, axiom,
% 2.72/1.97 a259 = $i!val!22).
% 2.72/1.97 tff(formula40, axiom,
% 2.72/1.97 a262 = $i!val!24).
% 2.72/1.97 tff(formula41, axiom,
% 2.72/1.97 a250 = $i!val!39).
% 2.72/1.97 tff(formula42, axiom,
% 2.72/1.97 a213 = $i!val!25).
% 2.72/1.97 tff(formula43, axiom,
% 2.72/1.97 a217 = $i!val!29).
% 2.72/1.97 tff(formula44, axiom,
% 2.72/1.97 c5_0 <=> $false).
% 2.72/1.97 tff(formula45, axiom,
% 2.72/1.97 a216 = $i!val!35).
% 2.72/1.97 tff(formula46, axiom,
% 2.72/1.97 a223 = $i!val!30).
% 2.72/1.97 tff(formula47, axiom,
% 2.72/1.97 a234 = $i!val!37).
% 2.72/1.97 tff(formula48, axiom,
% 2.72/1.97 c4_0 <=> $false).
% 2.72/1.97 tff(formula49, axiom,
% 2.72/1.97 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((k!1889(X1) = $i!val!20) & (k!1888(X0) = $i!val!21)) | ((k!1889(X1) = $i!val!5) & (k!1888(X0) = $i!val!28)) | ((k!1889(X1) = $i!val!5) & (k!1888(X0) = $i!val!27)) | ((k!1889(X1) = $i!val!13) & (k!1888(X0) = $i!val!37)) | ((k!1889(X1) = $i!val!20) & (k!1888(X0) = $i!val!27)) | ((k!1889(X1) = $i!val!20) & (k!1888(X0) = $i!val!25)) | ((k!1889(X1) = $i!val!20) & (k!1888(X0) = $i!val!33)) | ((k!1889(X1) = $i!val!13) & (k!1888(X0) = $i!val!33))))).
% 2.72/1.97 tff(formula50, axiom,
% 2.72/1.97 ![X0: $i] : (c4_1(X0) <=> ((k!1889(X0) = $i!val!24) | (k!1889(X0) = $i!val!5) | (k!1889(X0) = $i!val!16) | (k!1889(X0) = $i!val!10) | (k!1889(X0) = $i!val!4) | (k!1889(X0) = $i!val!18) | (k!1889(X0) = $i!val!17) | (k!1889(X0) = $i!val!19) | (k!1889(X0) = $i!val!8) | (k!1889(X0) = $i!val!15) | (k!1889(X0) = $i!val!1)))).
% 2.72/1.97 tff(formula51, axiom,
% 2.72/1.97 k!1889($i!val!13) = $i!val!13).
% 2.72/1.97 tff(formula52, axiom,
% 2.72/1.97 k!1889($i!val!38) = $i!val!38).
% 2.72/1.97 tff(formula53, axiom,
% 2.72/1.97 k!1889($i!val!9) = $i!val!9).
% 2.72/1.97 tff(formula54, axiom,
% 2.72/1.97 k!1889($i!val!6) = $i!val!6).
% 2.72/1.97 tff(formula55, axiom,
% 2.72/1.97 k!1889($i!val!2) = $i!val!2).
% 2.72/1.97 tff(formula56, axiom,
% 2.72/1.97 k!1889($i!val!18) = $i!val!18).
% 2.72/1.97 tff(formula57, axiom,
% 2.72/1.97 k!1889($i!val!20) = $i!val!20).
% 2.72/1.97 tff(formula58, axiom,
% 2.72/1.97 k!1889($i!val!5) = $i!val!5).
% 2.72/1.97 tff(formula59, axiom,
% 2.72/1.97 k!1889($i!val!23) = $i!val!23).
% 2.72/1.97 tff(formula60, axiom,
% 2.72/1.97 k!1889($i!val!16) = $i!val!16).
% 2.72/1.97 tff(formula61, axiom,
% 2.72/1.97 k!1889($i!val!1) = $i!val!1).
% 2.72/1.97 tff(formula62, axiom,
% 2.72/1.97 k!1889($i!val!8) = $i!val!8).
% 2.72/1.97 tff(formula63, axiom,
% 2.72/1.97 k!1889($i!val!19) = $i!val!19).
% 2.72/1.97 tff(formula64, axiom,
% 2.72/1.97 k!1889($i!val!4) = $i!val!4).
% 2.72/1.97 tff(formula65, axiom,
% 2.72/1.97 k!1889($i!val!17) = $i!val!17).
% 2.72/1.97 tff(formula66, axiom,
% 2.72/1.97 k!1889($i!val!24) = $i!val!24).
% 2.72/1.97 tff(formula67, axiom,
% 2.72/1.97 k!1889($i!val!7) = $i!val!7).
% 2.72/1.97 tff(formula68, axiom,
% 2.72/1.97 k!1889($i!val!22) = $i!val!22).
% 2.72/1.97 tff(formula69, axiom,
% 2.72/1.97 k!1889($i!val!15) = $i!val!15).
% 2.72/1.97 tff(formula70, axiom,
% 2.72/1.97 k!1889($i!val!10) = $i!val!10).
% 2.72/1.97 tff(formula71, axiom,
% 2.72/1.97 k!1889($i!val!12) = $i!val!12).
% 2.72/1.97 tff(formula72, axiom,
% 2.72/1.97 k!1889($i!val!11) = $i!val!11).
% 2.72/1.97 tff(formula73, axiom,
% 2.72/1.97 k!1889($i!val!0) = $i!val!0).
% 2.72/1.97 tff(formula74, axiom,
% 2.72/1.97 ![X0: $i] : ((~((($i!val!13 = X0)) | (($i!val!38 = X0)) | (($i!val!9 = X0)) | (($i!val!6 = X0)) | (($i!val!2 = X0)) | (($i!val!18 = X0)) | (($i!val!20 = X0)) | (($i!val!5 = X0)) | (($i!val!23 = X0)) | (($i!val!16 = X0)) | (($i!val!1 = X0)) | (($i!val!8 = X0)) | (($i!val!19 = X0)) | (($i!val!4 = X0)) | (($i!val!17 = X0)) | (($i!val!24 = X0)) | (($i!val!7 = X0)) | (($i!val!22 = X0)) | (($i!val!15 = X0)) | (($i!val!10 = X0)) | (($i!val!12 = X0)) | (($i!val!11 = X0)) | (($i!val!0 = X0)))) => (k!1889(X0) = $i!val!3))).
% 2.72/1.97 tff(formula75, axiom,
% 2.72/1.97 ![X0: $i] : (c5_1(X0) <=> ((k!1889(X0) = $i!val!24) | (k!1889(X0) = $i!val!4) | (k!1889(X0) = $i!val!8) | (k!1889(X0) = $i!val!13)))).
% 2.72/1.97 tff(formula76, axiom,
% 2.72/1.97 k!1888($i!val!33) = $i!val!33).
% 2.72/1.97 tff(formula77, axiom,
% 2.72/1.97 k!1888($i!val!36) = $i!val!36).
% 2.72/1.97 tff(formula78, axiom,
% 2.72/1.97 k!1888($i!val!25) = $i!val!25).
% 2.72/1.97 tff(formula79, axiom,
% 2.72/1.97 k!1888($i!val!31) = $i!val!31).
% 2.72/1.97 tff(formula80, axiom,
% 2.72/1.97 k!1888($i!val!14) = $i!val!14).
% 2.72/1.97 tff(formula81, axiom,
% 2.72/1.97 k!1888($i!val!32) = $i!val!32).
% 2.72/1.97 tff(formula82, axiom,
% 2.72/1.97 k!1888($i!val!37) = $i!val!37).
% 2.72/1.97 tff(formula83, axiom,
% 2.72/1.97 k!1888($i!val!34) = $i!val!34).
% 2.72/1.97 tff(formula84, axiom,
% 2.72/1.97 k!1888($i!val!39) = $i!val!39).
% 2.72/1.97 tff(formula85, axiom,
% 2.72/1.97 k!1888($i!val!26) = $i!val!26).
% 2.72/1.97 tff(formula86, axiom,
% 2.72/1.97 k!1888($i!val!29) = $i!val!29).
% 2.72/1.97 tff(formula87, axiom,
% 2.72/1.97 k!1888($i!val!35) = $i!val!35).
% 2.72/1.97 tff(formula88, axiom,
% 2.72/1.97 k!1888($i!val!30) = $i!val!30).
% 2.72/1.97 tff(formula89, axiom,
% 2.72/1.97 k!1888($i!val!21) = $i!val!21).
% 2.72/1.97 tff(formula90, axiom,
% 2.72/1.97 k!1888($i!val!27) = $i!val!27).
% 2.72/1.97 tff(formula91, axiom,
% 2.72/1.97 ![X0: $i] : ((~((($i!val!33 = X0)) | (($i!val!36 = X0)) | (($i!val!25 = X0)) | (($i!val!31 = X0)) | (($i!val!14 = X0)) | (($i!val!32 = X0)) | (($i!val!37 = X0)) | (($i!val!34 = X0)) | (($i!val!39 = X0)) | (($i!val!26 = X0)) | (($i!val!29 = X0)) | (($i!val!35 = X0)) | (($i!val!30 = X0)) | (($i!val!21 = X0)) | (($i!val!27 = X0)))) => (k!1888(X0) = $i!val!28))).
% 2.72/1.97 tff(formula92, axiom,
% 2.72/1.97 ![X0: $i] : (c1_1(X0) <=> ((k!1889(X0) = $i!val!10) | (k!1889(X0) = $i!val!18) | (k!1889(X0) = $i!val!38) | (k!1889(X0) = $i!val!2) | (k!1889(X0) = $i!val!20) | (k!1889(X0) = $i!val!12)))).
% 2.72/1.97 tff(formula93, axiom,
% 2.72/1.97 ![X0: $i] : (c3_1(X0) <=> ((k!1889(X0) = $i!val!24) | (k!1889(X0) = $i!val!16) | (k!1889(X0) = $i!val!10) | (k!1889(X0) = $i!val!4) | (k!1889(X0) = $i!val!18) | (k!1889(X0) = $i!val!17) | (k!1889(X0) = $i!val!19) | (k!1889(X0) = $i!val!8) | (k!1889(X0) = $i!val!15) | (k!1889(X0) = $i!val!1) | (k!1889(X0) = $i!val!6) | (k!1889(X0) = $i!val!9) | (k!1889(X0) = $i!val!23) | (k!1889(X0) = $i!val!11) | (k!1889(X0) = $i!val!7) | (k!1889(X0) = $i!val!0) | (k!1889(X0) = $i!val!22) | (k!1889(X0) = $i!val!3) | (k!1889(X0) = $i!val!38) | (k!1889(X0) = $i!val!2) | (k!1889(X0) = $i!val!12) | (k!1889(X0) = $i!val!13)))).
% 2.72/1.97 tff(formula94, axiom,
% 2.72/1.97 ![X0: $i] : (c2_1(X0) <=> ((k!1889(X0) = $i!val!24) | (k!1889(X0) = $i!val!16) | (k!1889(X0) = $i!val!10) | (k!1889(X0) = $i!val!4) | (k!1889(X0) = $i!val!18) | (k!1889(X0) = $i!val!17) | (k!1889(X0) = $i!val!19) | (k!1889(X0) = $i!val!8) | (k!1889(X0) = $i!val!15) | (k!1889(X0) = $i!val!1) | (k!1889(X0) = $i!val!6) | (k!1889(X0) = $i!val!9) | (k!1889(X0) = $i!val!23) | (k!1889(X0) = $i!val!11) | (k!1889(X0) = $i!val!7) | (k!1889(X0) = $i!val!0) | (k!1889(X0) = $i!val!22) | (k!1889(X0) = $i!val!3) | (k!1889(X0) = $i!val!38) | (k!1889(X0) = $i!val!2) | (k!1889(X0) = $i!val!12)))).
% 2.79/1.98 tff(formula95, axiom,
% 2.79/1.98 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (((k!1889(X1) = $i!val!20) & (k!1888(X0) = $i!val!29)) | ((k!1889(X1) = $i!val!13) & (k!1888(X0) = $i!val!39)) | ((k!1889(X1) = $i!val!20) & (k!1888(X0) = $i!val!34)) | ((k!1889(X1) = $i!val!20) & (k!1888(X0) = $i!val!21)) | ((k!1889(X1) = $i!val!5) & (k!1888(X0) = $i!val!28)) | ((k!1889(X1) = $i!val!20) & (k!1888(X0) = $i!val!33)) | ((k!1889(X1) = $i!val!13) & (k!1888(X0) = $i!val!33)) | ((k!1889(X1) = $i!val!13) & (k!1888(X0) = $i!val!26)) | ((k!1889(X1) = $i!val!20) & (k!1888(X0) = $i!val!30)) | ((k!1889(X1) = $i!val!13) & (k!1888(X0) = $i!val!30))))).
% 2.79/1.98 tff(formula96, axiom,
% 2.79/1.98 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> (((k!1889(X1) = $i!val!5) & (k!1888(X0) = $i!val!35)) | ((k!1889(X1) = $i!val!20) & (k!1888(X0) = $i!val!34)) | ((k!1889(X1) = $i!val!20) & (k!1888(X0) = $i!val!21)) | ((k!1889(X1) = $i!val!5) & (k!1888(X0) = $i!val!28)) | ((k!1889(X1) = $i!val!13) & (k!1888(X0) = $i!val!37)) | ((k!1889(X1) = $i!val!13) & (k!1888(X0) = $i!val!33)) | ((k!1889(X1) = $i!val!20) & (k!1888(X0) = $i!val!30)) | ((k!1889(X1) = $i!val!13) & (k!1888(X0) = $i!val!30)) | ((k!1889(X1) = $i!val!13) & (k!1888(X0) = $i!val!14)) | ((k!1889(X1) = $i!val!5) & (k!1888(X0) = $i!val!34))))).
% 2.79/1.98 tff(formula97, axiom,
% 2.79/1.98 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((k!1889(X1) = $i!val!5) & (k!1888(X0) = $i!val!36)) | ((k!1889(X1) = $i!val!13) & (k!1888(X0) = $i!val!25)) | ((k!1889(X1) = $i!val!5) & (k!1888(X0) = $i!val!32)) | ((k!1889(X1) = $i!val!5) & (k!1888(X0) = $i!val!25)) | ((k!1889(X1) = $i!val!20) & (k!1888(X0) = $i!val!34)) | ((k!1889(X1) = $i!val!5) & (k!1888(X0) = $i!val!28)) | ((k!1889(X1) = $i!val!20) & (k!1888(X0) = $i!val!25))))).
% 2.79/1.98 tff(formula98, axiom,
% 2.79/1.98 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((k!1889(X1) = $i!val!13) & (k!1888(X0) = $i!val!39)) | ((k!1889(X1) = $i!val!5) & (k!1888(X0) = $i!val!32)) | ((k!1889(X1) = $i!val!20) & (k!1888(X0) = $i!val!34)) | ((k!1889(X1) = $i!val!5) & (k!1888(X0) = $i!val!28)) | ((k!1889(X1) = $i!val!5) & (k!1888(X0) = $i!val!27)) | ((k!1889(X1) = $i!val!20) & (k!1888(X0) = $i!val!27)) | ((k!1889(X1) = $i!val!20) & (k!1888(X0) = $i!val!25)) | ((k!1889(X1) = $i!val!13) & (k!1888(X0) = $i!val!26)) | ((k!1889(X1) = $i!val!5) & (k!1888(X0) = $i!val!31)) | ((k!1889(X1) = $i!val!5) & (k!1888(X0) = $i!val!34))))).
% 2.79/1.98 tff(formula99, axiom,
% 2.79/1.98 ![X0: $i] : (ndr1_1(X0) <=> ((k!1889(X0) = $i!val!5) | (k!1889(X0) = $i!val!20) | (k!1889(X0) = $i!val!13)))).
% 2.79/1.98 % SZS output end Model
%------------------------------------------------------------------------------