TSTP Solution File: SYN419+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN419+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n029.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 23:55:15 EDT 2022
% Result : CounterSatisfiable 1.53s 1.21s
% Output : Model 1.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN419+1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n029.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 03:24:16 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.
% 1.53/1.21 % SZS status CounterSatisfiable
% 1.53/1.21 % SZS output start Model
% 1.53/1.21 tff(c10_0_type, type, (
% 1.53/1.21 c10_0: $o)).
% 1.53/1.21 tff(ndr1_0_type, type, (
% 1.53/1.21 ndr1_0: $o)).
% 1.53/1.21 tff(tptp_fun__i_val_37_type, type, (
% 1.53/1.21 tptp_fun__i_val_37: $i)).
% 1.53/1.21 tff(a203_type, type, (
% 1.53/1.21 a203: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_38_type, type, (
% 1.53/1.21 tptp_fun__i_val_38: $i)).
% 1.53/1.21 tff(a158_type, type, (
% 1.53/1.21 a158: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_23_type, type, (
% 1.53/1.21 tptp_fun__i_val_23: $i)).
% 1.53/1.21 tff(a240_type, type, (
% 1.53/1.21 a240: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_1_type, type, (
% 1.53/1.21 tptp_fun__i_val_1: $i)).
% 1.53/1.21 tff(a157_type, type, (
% 1.53/1.21 a157: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_19_type, type, (
% 1.53/1.21 tptp_fun__i_val_19: $i)).
% 1.53/1.21 tff(a224_type, type, (
% 1.53/1.21 a224: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_9_type, type, (
% 1.53/1.21 tptp_fun__i_val_9: $i)).
% 1.53/1.21 tff(a171_type, type, (
% 1.53/1.21 a171: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_2_type, type, (
% 1.53/1.21 tptp_fun__i_val_2: $i)).
% 1.53/1.21 tff(a160_type, type, (
% 1.53/1.21 a160: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_27_type, type, (
% 1.53/1.21 tptp_fun__i_val_27: $i)).
% 1.53/1.21 tff(a247_type, type, (
% 1.53/1.21 a247: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_39_type, type, (
% 1.53/1.21 tptp_fun__i_val_39: $i)).
% 1.53/1.21 tff(a184_type, type, (
% 1.53/1.21 a184: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_14_type, type, (
% 1.53/1.21 tptp_fun__i_val_14: $i)).
% 1.53/1.21 tff(a178_type, type, (
% 1.53/1.21 a178: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_35_type, type, (
% 1.53/1.21 tptp_fun__i_val_35: $i)).
% 1.53/1.21 tff(a265_type, type, (
% 1.53/1.21 a265: $i)).
% 1.53/1.21 tff(c6_0_type, type, (
% 1.53/1.21 c6_0: $o)).
% 1.53/1.21 tff(tptp_fun__i_val_11_type, type, (
% 1.53/1.21 tptp_fun__i_val_11: $i)).
% 1.53/1.21 tff(a173_type, type, (
% 1.53/1.21 a173: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_41_type, type, (
% 1.53/1.21 tptp_fun__i_val_41: $i)).
% 1.53/1.21 tff(a243_type, type, (
% 1.53/1.21 a243: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_3_type, type, (
% 1.53/1.21 tptp_fun__i_val_3: $i)).
% 1.53/1.21 tff(a162_type, type, (
% 1.53/1.21 a162: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_18_type, type, (
% 1.53/1.21 tptp_fun__i_val_18: $i)).
% 1.53/1.21 tff(a219_type, type, (
% 1.53/1.21 a219: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_5_type, type, (
% 1.53/1.21 tptp_fun__i_val_5: $i)).
% 1.53/1.21 tff(a165_type, type, (
% 1.53/1.21 a165: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_21_type, type, (
% 1.53/1.21 tptp_fun__i_val_21: $i)).
% 1.53/1.21 tff(a235_type, type, (
% 1.53/1.21 a235: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_26_type, type, (
% 1.53/1.21 tptp_fun__i_val_26: $i)).
% 1.53/1.21 tff(a245_type, type, (
% 1.53/1.21 a245: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_40_type, type, (
% 1.53/1.21 tptp_fun__i_val_40: $i)).
% 1.53/1.21 tff(a161_type, type, (
% 1.53/1.21 a161: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_34_type, type, (
% 1.53/1.21 tptp_fun__i_val_34: $i)).
% 1.53/1.21 tff(a261_type, type, (
% 1.53/1.21 a261: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_33_type, type, (
% 1.53/1.21 tptp_fun__i_val_33: $i)).
% 1.53/1.21 tff(a259_type, type, (
% 1.53/1.21 a259: $i)).
% 1.53/1.21 tff(c9_0_type, type, (
% 1.53/1.21 c9_0: $o)).
% 1.53/1.21 tff(tptp_fun__i_val_7_type, type, (
% 1.53/1.21 tptp_fun__i_val_7: $i)).
% 1.53/1.21 tff(a167_type, type, (
% 1.53/1.21 a167: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_17_type, type, (
% 1.53/1.21 tptp_fun__i_val_17: $i)).
% 1.53/1.21 tff(a216_type, type, (
% 1.53/1.21 a216: $i)).
% 1.53/1.21 tff(c4_0_type, type, (
% 1.53/1.21 c4_0: $o)).
% 1.53/1.21 tff(tptp_fun__i_val_42_type, type, (
% 1.53/1.21 tptp_fun__i_val_42: $i)).
% 1.53/1.21 tff(a223_type, type, (
% 1.53/1.21 a223: $i)).
% 1.53/1.21 tff(c3_0_type, type, (
% 1.53/1.21 c3_0: $o)).
% 1.53/1.21 tff(tptp_fun__i_val_32_type, type, (
% 1.53/1.21 tptp_fun__i_val_32: $i)).
% 1.53/1.21 tff(a258_type, type, (
% 1.53/1.21 a258: $i)).
% 1.53/1.21 tff(c8_0_type, type, (
% 1.53/1.21 c8_0: $o)).
% 1.53/1.21 tff(tptp_fun__i_val_0_type, type, (
% 1.53/1.21 tptp_fun__i_val_0: $i)).
% 1.53/1.21 tff(a147_type, type, (
% 1.53/1.21 a147: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_30_type, type, (
% 1.53/1.21 tptp_fun__i_val_30: $i)).
% 1.53/1.21 tff(a253_type, type, (
% 1.53/1.21 a253: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_31_type, type, (
% 1.53/1.21 tptp_fun__i_val_31: $i)).
% 1.53/1.21 tff(a257_type, type, (
% 1.53/1.21 a257: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_36_type, type, (
% 1.53/1.21 tptp_fun__i_val_36: $i)).
% 1.53/1.21 tff(a228_type, type, (
% 1.53/1.21 a228: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_16_type, type, (
% 1.53/1.21 tptp_fun__i_val_16: $i)).
% 1.53/1.21 tff(a207_type, type, (
% 1.53/1.21 a207: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_28_type, type, (
% 1.53/1.21 tptp_fun__i_val_28: $i)).
% 1.53/1.21 tff(a251_type, type, (
% 1.53/1.21 a251: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_6_type, type, (
% 1.53/1.21 tptp_fun__i_val_6: $i)).
% 1.53/1.21 tff(a166_type, type, (
% 1.53/1.21 a166: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_12_type, type, (
% 1.53/1.21 tptp_fun__i_val_12: $i)).
% 1.53/1.21 tff(a175_type, type, (
% 1.53/1.21 a175: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_8_type, type, (
% 1.53/1.21 tptp_fun__i_val_8: $i)).
% 1.53/1.21 tff(a170_type, type, (
% 1.53/1.21 a170: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_10_type, type, (
% 1.53/1.21 tptp_fun__i_val_10: $i)).
% 1.53/1.21 tff(a172_type, type, (
% 1.53/1.21 a172: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_22_type, type, (
% 1.53/1.21 tptp_fun__i_val_22: $i)).
% 1.53/1.21 tff(a237_type, type, (
% 1.53/1.21 a237: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_24_type, type, (
% 1.53/1.21 tptp_fun__i_val_24: $i)).
% 1.53/1.21 tff(a241_type, type, (
% 1.53/1.21 a241: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_43_type, type, (
% 1.53/1.21 tptp_fun__i_val_43: $i)).
% 1.53/1.21 tff(a214_type, type, (
% 1.53/1.21 a214: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_15_type, type, (
% 1.53/1.21 tptp_fun__i_val_15: $i)).
% 1.53/1.21 tff(a185_type, type, (
% 1.53/1.21 a185: $i)).
% 1.53/1.21 tff(c7_0_type, type, (
% 1.53/1.21 c7_0: $o)).
% 1.53/1.21 tff(tptp_fun__i_val_25_type, type, (
% 1.53/1.21 tptp_fun__i_val_25: $i)).
% 1.53/1.21 tff(a242_type, type, (
% 1.53/1.21 a242: $i)).
% 1.53/1.21 tff(c1_0_type, type, (
% 1.53/1.21 c1_0: $o)).
% 1.53/1.21 tff(c2_0_type, type, (
% 1.53/1.21 c2_0: $o)).
% 1.53/1.21 tff(tptp_fun__i_val_4_type, type, (
% 1.53/1.21 tptp_fun__i_val_4: $i)).
% 1.53/1.21 tff(a163_type, type, (
% 1.53/1.21 a163: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_20_type, type, (
% 1.53/1.21 tptp_fun__i_val_20: $i)).
% 1.53/1.21 tff(a225_type, type, (
% 1.53/1.21 a225: $i)).
% 1.53/1.21 tff(tptp_fun__i_val_13_type, type, (
% 1.53/1.21 tptp_fun__i_val_13: $i)).
% 1.53/1.21 tff(a177_type, type, (
% 1.53/1.21 a177: $i)).
% 1.53/1.21 tff(c5_0_type, type, (
% 1.53/1.21 c5_0: $o)).
% 1.53/1.21 tff(tptp_fun__i_val_29_type, type, (
% 1.53/1.21 tptp_fun__i_val_29: $i)).
% 1.53/1.21 tff(a252_type, type, (
% 1.53/1.21 a252: $i)).
% 1.53/1.21 tff(k!1099_type, type, (
% 1.53/1.21 k!1099: $i > $i)).
% 1.53/1.21 tff(c4_1_type, type, (
% 1.53/1.21 c4_1: $i > $o)).
% 1.53/1.21 tff(c6_2_type, type, (
% 1.53/1.21 c6_2: ( $i * $i ) > $o)).
% 1.53/1.21 tff(c1_1_type, type, (
% 1.53/1.21 c1_1: $i > $o)).
% 1.53/1.21 tff(c6_1_type, type, (
% 1.53/1.21 c6_1: $i > $o)).
% 1.53/1.21 tff(c8_1_type, type, (
% 1.53/1.21 c8_1: $i > $o)).
% 1.53/1.21 tff(k!1098_type, type, (
% 1.53/1.21 k!1098: $i > $i)).
% 1.53/1.21 tff(c9_2_type, type, (
% 1.53/1.21 c9_2: ( $i * $i ) > $o)).
% 1.53/1.21 tff(c8_2_type, type, (
% 1.53/1.21 c8_2: ( $i * $i ) > $o)).
% 1.53/1.21 tff(c7_2_type, type, (
% 1.53/1.21 c7_2: ( $i * $i ) > $o)).
% 1.53/1.21 tff(c10_2_type, type, (
% 1.53/1.21 c10_2: ( $i * $i ) > $o)).
% 1.53/1.21 tff(c4_2_type, type, (
% 1.53/1.21 c4_2: ( $i * $i ) > $o)).
% 1.53/1.21 tff(c10_1_type, type, (
% 1.53/1.21 c10_1: $i > $o)).
% 1.53/1.21 tff(ndr1_1_type, type, (
% 1.53/1.21 ndr1_1: $i > $o)).
% 1.53/1.21 tff(c5_2_type, type, (
% 1.53/1.21 c5_2: ( $i * $i ) > $o)).
% 1.53/1.21 tff(c5_1_type, type, (
% 1.53/1.21 c5_1: $i > $o)).
% 1.53/1.21 tff(c2_1_type, type, (
% 1.53/1.21 c2_1: $i > $o)).
% 1.53/1.21 tff(c3_1_type, type, (
% 1.53/1.21 c3_1: $i > $o)).
% 1.53/1.21 tff(c9_1_type, type, (
% 1.53/1.21 c9_1: $i > $o)).
% 1.53/1.21 tff(c3_2_type, type, (
% 1.53/1.21 c3_2: ( $i * $i ) > $o)).
% 1.53/1.21 tff(c2_2_type, type, (
% 1.53/1.21 c2_2: ( $i * $i ) > $o)).
% 1.53/1.21 tff(c7_1_type, type, (
% 1.53/1.21 c7_1: $i > $o)).
% 1.53/1.21 tff(c1_2_type, type, (
% 1.53/1.21 c1_2: ( $i * $i ) > $o)).
% 1.53/1.21 tff(formula1, axiom,
% 1.53/1.21 c10_0 <=> $false).
% 1.53/1.21 tff(formula2, axiom,
% 1.53/1.21 ndr1_0 <=> $true).
% 1.53/1.21 tff(formula3, axiom,
% 1.53/1.21 a203 = $i!val!37).
% 1.53/1.21 tff(formula4, axiom,
% 1.53/1.21 a158 = $i!val!38).
% 1.53/1.21 tff(formula5, axiom,
% 1.53/1.21 a240 = $i!val!23).
% 1.53/1.21 tff(formula6, axiom,
% 1.53/1.21 a157 = $i!val!1).
% 1.53/1.21 tff(formula7, axiom,
% 1.53/1.21 a224 = $i!val!19).
% 1.53/1.21 tff(formula8, axiom,
% 1.53/1.21 a171 = $i!val!9).
% 1.53/1.21 tff(formula9, axiom,
% 1.53/1.21 a160 = $i!val!2).
% 1.53/1.21 tff(formula10, axiom,
% 1.53/1.21 a247 = $i!val!27).
% 1.53/1.21 tff(formula11, axiom,
% 1.53/1.21 a184 = $i!val!39).
% 1.53/1.21 tff(formula12, axiom,
% 1.53/1.21 a178 = $i!val!14).
% 1.53/1.21 tff(formula13, axiom,
% 1.53/1.21 a265 = $i!val!35).
% 1.53/1.21 tff(formula14, axiom,
% 1.53/1.21 c6_0 <=> $false).
% 1.53/1.21 tff(formula15, axiom,
% 1.53/1.21 a173 = $i!val!11).
% 1.53/1.21 tff(formula16, axiom,
% 1.53/1.21 a243 = $i!val!41).
% 1.53/1.21 tff(formula17, axiom,
% 1.53/1.21 a162 = $i!val!3).
% 1.53/1.21 tff(formula18, axiom,
% 1.53/1.21 a219 = $i!val!18).
% 1.53/1.21 tff(formula19, axiom,
% 1.53/1.21 a165 = $i!val!5).
% 1.53/1.21 tff(formula20, axiom,
% 1.53/1.21 a235 = $i!val!21).
% 1.53/1.21 tff(formula21, axiom,
% 1.53/1.21 a245 = $i!val!26).
% 1.53/1.21 tff(formula22, axiom,
% 1.53/1.21 a161 = $i!val!40).
% 1.53/1.21 tff(formula23, axiom,
% 1.53/1.21 a261 = $i!val!34).
% 1.53/1.21 tff(formula24, axiom,
% 1.53/1.21 a259 = $i!val!33).
% 1.53/1.21 tff(formula25, axiom,
% 1.53/1.21 c9_0 <=> $false).
% 1.53/1.21 tff(formula26, axiom,
% 1.53/1.21 a167 = $i!val!7).
% 1.53/1.21 tff(formula27, axiom,
% 1.53/1.21 a216 = $i!val!17).
% 1.53/1.21 tff(formula28, axiom,
% 1.53/1.21 c4_0 <=> $false).
% 1.53/1.21 tff(formula29, axiom,
% 1.53/1.21 a223 = $i!val!42).
% 1.53/1.21 tff(formula30, axiom,
% 1.53/1.21 c3_0 <=> $false).
% 1.53/1.21 tff(formula31, axiom,
% 1.53/1.21 a258 = $i!val!32).
% 1.53/1.21 tff(formula32, axiom,
% 1.53/1.21 c8_0 <=> $false).
% 1.53/1.21 tff(formula33, axiom,
% 1.53/1.21 a147 = $i!val!0).
% 1.53/1.21 tff(formula34, axiom,
% 1.53/1.21 a253 = $i!val!30).
% 1.53/1.21 tff(formula35, axiom,
% 1.53/1.21 a257 = $i!val!31).
% 1.53/1.21 tff(formula36, axiom,
% 1.53/1.21 a228 = $i!val!36).
% 1.53/1.21 tff(formula37, axiom,
% 1.53/1.21 a207 = $i!val!16).
% 1.53/1.21 tff(formula38, axiom,
% 1.53/1.21 a251 = $i!val!28).
% 1.53/1.21 tff(formula39, axiom,
% 1.53/1.21 a166 = $i!val!6).
% 1.53/1.21 tff(formula40, axiom,
% 1.53/1.21 a175 = $i!val!12).
% 1.53/1.21 tff(formula41, axiom,
% 1.53/1.21 a170 = $i!val!8).
% 1.53/1.21 tff(formula42, axiom,
% 1.53/1.21 a172 = $i!val!10).
% 1.53/1.21 tff(formula43, axiom,
% 1.53/1.21 a237 = $i!val!22).
% 1.53/1.21 tff(formula44, axiom,
% 1.53/1.21 a241 = $i!val!24).
% 1.53/1.21 tff(formula45, axiom,
% 1.53/1.21 a214 = $i!val!43).
% 1.53/1.21 tff(formula46, axiom,
% 1.53/1.21 a185 = $i!val!15).
% 1.53/1.21 tff(formula47, axiom,
% 1.53/1.22 c7_0 <=> $true).
% 1.53/1.22 tff(formula48, axiom,
% 1.53/1.22 a242 = $i!val!25).
% 1.53/1.22 tff(formula49, axiom,
% 1.53/1.22 c1_0 <=> $false).
% 1.53/1.22 tff(formula50, axiom,
% 1.53/1.22 c2_0 <=> $true).
% 1.53/1.22 tff(formula51, axiom,
% 1.53/1.22 a163 = $i!val!4).
% 1.53/1.22 tff(formula52, axiom,
% 1.53/1.22 a225 = $i!val!20).
% 1.53/1.22 tff(formula53, axiom,
% 1.53/1.22 a177 = $i!val!13).
% 1.53/1.22 tff(formula54, axiom,
% 1.53/1.22 c5_0 <=> $false).
% 1.53/1.22 tff(formula55, axiom,
% 1.53/1.22 a252 = $i!val!29).
% 1.53/1.22 tff(formula56, axiom,
% 1.53/1.22 ![X0: $i] : (c4_1(X0) <=> (k!1099(X0) = $i!val!7))).
% 1.53/1.22 tff(formula57, axiom,
% 1.53/1.22 ![X0: $i, X1: $i] : (c6_2(X0, X1) <=> $false)).
% 1.53/1.22 tff(formula58, axiom,
% 1.53/1.22 ![X0: $i] : (c1_1(X0) <=> ((k!1099(X0) = $i!val!32) | (k!1099(X0) = $i!val!34) | (k!1099(X0) = $i!val!13) | (k!1099(X0) = $i!val!26) | (k!1099(X0) = $i!val!30) | (k!1099(X0) = $i!val!7) | (k!1099(X0) = $i!val!0) | (k!1099(X0) = $i!val!31) | (k!1099(X0) = $i!val!16) | (k!1099(X0) = $i!val!27) | (k!1099(X0) = $i!val!17) | (k!1099(X0) = $i!val!11)))).
% 1.53/1.22 tff(formula59, axiom,
% 1.53/1.22 ![X0: $i] : (c6_1(X0) <=> ((k!1099(X0) = $i!val!30) | (k!1099(X0) = $i!val!16) | (k!1099(X0) = $i!val!3) | (k!1099(X0) = $i!val!4) | (k!1099(X0) = $i!val!2) | (k!1099(X0) = $i!val!8) | (k!1099(X0) = $i!val!18) | (k!1099(X0) = $i!val!22) | (k!1099(X0) = $i!val!9) | (k!1099(X0) = $i!val!10) | (k!1099(X0) = $i!val!1) | (k!1099(X0) = $i!val!12) | (k!1099(X0) = $i!val!35) | (k!1099(X0) = $i!val!19)))).
% 1.53/1.22 tff(formula60, axiom,
% 1.53/1.22 ![X0: $i] : (c8_1(X0) <=> ((k!1099(X0) = $i!val!0) | (k!1099(X0) = $i!val!3) | (k!1099(X0) = $i!val!22) | (k!1099(X0) = $i!val!21)))).
% 1.53/1.22 tff(formula61, axiom,
% 1.53/1.22 ![X0: $i, X1: $i] : (c9_2(X0, X1) <=> (((k!1099(X1) = $i!val!15) & (k!1098(X0) = $i!val!38)) | ((k!1099(X1) = $i!val!15) & (k!1098(X0) = $i!val!42)) | ((k!1099(X1) = $i!val!5) & (k!1098(X0) = $i!val!42)) | ((k!1099(X1) = $i!val!23) & (k!1098(X0) = $i!val!24)) | ((k!1099(X1) = $i!val!30) & (k!1098(X0) = $i!val!42)) | ((k!1099(X1) = $i!val!19) & (k!1098(X0) = $i!val!39)) | ((k!1099(X1) = $i!val!23) & (k!1098(X0) = $i!val!37)) | ((k!1099(X1) = $i!val!19) & (k!1098(X0) = $i!val!20)) | ((k!1099(X1) = $i!val!21) & (k!1098(X0) = $i!val!38)) | ((k!1099(X1) = $i!val!32) & (k!1098(X0) = $i!val!38)) | ((k!1099(X1) = $i!val!7) & (k!1098(X0) = $i!val!39)) | ((k!1099(X1) = $i!val!13) & (k!1098(X0) = $i!val!39)) | ((k!1099(X1) = $i!val!15) & (k!1098(X0) = $i!val!39)) | ((k!1099(X1) = $i!val!28) & (k!1098(X0) = $i!val!38)) | ((k!1099(X1) = $i!val!32) & (k!1098(X0) = $i!val!42)) | ((k!1099(X1) = $i!val!32) & (k!1098(X0) = $i!val!39)) | ((k!1099(X1) = $i!val!13) & (k!1098(X0) = $i!val!38)) | ((k!1099(X1) = $i!val!30) & (k!1098(X0) = $i!val!38))))).
% 1.53/1.22 tff(formula62, axiom,
% 1.53/1.22 ![X0: $i, X1: $i] : (c8_2(X0, X1) <=> (((k!1099(X1) = $i!val!32) & (k!1098(X0) = $i!val!41)) | ((k!1099(X1) = $i!val!30) & (k!1098(X0) = $i!val!41)) | ((k!1099(X1) = $i!val!13) & (k!1098(X0) = $i!val!41)) | ((k!1099(X1) = $i!val!19) & (k!1098(X0) = $i!val!20)) | ((k!1099(X1) = $i!val!31) & (k!1098(X0) = $i!val!41)) | ((k!1099(X1) = $i!val!32) & (k!1098(X0) = $i!val!43)) | ((k!1099(X1) = $i!val!5) & (k!1098(X0) = $i!val!41)) | ((k!1099(X1) = $i!val!31) & (k!1098(X0) = $i!val!43)) | ((k!1099(X1) = $i!val!15) & (k!1098(X0) = $i!val!43)) | ((k!1099(X1) = $i!val!23) & (k!1098(X0) = $i!val!25)) | ((k!1099(X1) = $i!val!7) & (k!1098(X0) = $i!val!41))))).
% 1.53/1.22 tff(formula63, axiom,
% 1.53/1.22 ![X0: $i, X1: $i] : (c7_2(X0, X1) <=> (((k!1099(X1) = $i!val!28) & (k!1098(X0) = $i!val!37)) | ((k!1099(X1) = $i!val!23) & (k!1098(X0) = $i!val!37)) | ((k!1099(X1) = $i!val!15) & (k!1098(X0) = $i!val!37)) | ((k!1099(X1) = $i!val!21) & (k!1098(X0) = $i!val!37)) | ((k!1099(X1) = $i!val!5) & (k!1098(X0) = $i!val!37))))).
% 1.53/1.22 tff(formula64, axiom,
% 1.53/1.22 ![X0: $i, X1: $i] : (c10_2(X0, X1) <=> (((k!1099(X1) = $i!val!28) & (k!1098(X0) = $i!val!37)) | ((k!1099(X1) = $i!val!28) & (k!1098(X0) = $i!val!29)) | ((k!1099(X1) = $i!val!15) & (k!1098(X0) = $i!val!42)) | ((k!1099(X1) = $i!val!5) & (k!1098(X0) = $i!val!42)) | ((k!1099(X1) = $i!val!30) & (k!1098(X0) = $i!val!42)) | ((k!1099(X1) = $i!val!23) & (k!1098(X0) = $i!val!37)) | ((k!1099(X1) = $i!val!15) & (k!1098(X0) = $i!val!37)) | ((k!1099(X1) = $i!val!7) & (k!1098(X0) = $i!val!39)) | ((k!1099(X1) = $i!val!32) & (k!1098(X0) = $i!val!42)) | ((k!1099(X1) = $i!val!21) & (k!1098(X0) = $i!val!37)) | ((k!1099(X1) = $i!val!5) & (k!1098(X0) = $i!val!37))))).
% 1.53/1.22 tff(formula65, axiom,
% 1.53/1.22 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> ((k!1099(X1) = $i!val!19) & (k!1098(X0) = $i!val!39)))).
% 1.53/1.22 tff(formula66, axiom,
% 1.53/1.22 ![X0: $i] : (c10_1(X0) <=> ((k!1099(X0) = $i!val!7) | (k!1099(X0) = $i!val!0) | (k!1099(X0) = $i!val!22) | (k!1099(X0) = $i!val!19)))).
% 1.53/1.22 tff(formula67, axiom,
% 1.53/1.22 ![X0: $i] : (ndr1_1(X0) <=> ((k!1099(X0) = $i!val!15) | (k!1099(X0) = $i!val!28) | (k!1099(X0) = $i!val!32) | (k!1099(X0) = $i!val!13) | (k!1099(X0) = $i!val!30) | (k!1099(X0) = $i!val!7) | (k!1099(X0) = $i!val!31) | (k!1099(X0) = $i!val!21) | (k!1099(X0) = $i!val!5) | (k!1099(X0) = $i!val!23) | (k!1099(X0) = $i!val!19)))).
% 1.53/1.22 tff(formula68, axiom,
% 1.53/1.22 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((k!1099(X1) = $i!val!15) & (k!1098(X0) = $i!val!38)) | ((k!1099(X1) = $i!val!21) & (k!1098(X0) = $i!val!38)) | ((k!1099(X1) = $i!val!32) & (k!1098(X0) = $i!val!38)) | ((k!1099(X1) = $i!val!28) & (k!1098(X0) = $i!val!38)) | ((k!1099(X1) = $i!val!5) & (k!1098(X0) = $i!val!6)) | ((k!1099(X1) = $i!val!13) & (k!1098(X0) = $i!val!38)) | ((k!1099(X1) = $i!val!30) & (k!1098(X0) = $i!val!38))))).
% 1.53/1.22 tff(formula69, axiom,
% 1.53/1.22 ![X0: $i] : (c5_1(X0) <=> ((k!1099(X0) = $i!val!15) | (k!1099(X0) = $i!val!32) | (k!1099(X0) = $i!val!31)))).
% 1.53/1.22 tff(formula70, axiom,
% 1.53/1.22 k!1099($i!val!0) = $i!val!0).
% 1.53/1.22 tff(formula71, axiom,
% 1.53/1.22 k!1099($i!val!31) = $i!val!31).
% 1.53/1.22 tff(formula72, axiom,
% 1.53/1.22 k!1099($i!val!23) = $i!val!23).
% 1.53/1.22 tff(formula73, axiom,
% 1.53/1.22 k!1099($i!val!30) = $i!val!30).
% 1.53/1.22 tff(formula74, axiom,
% 1.53/1.22 k!1099($i!val!28) = $i!val!28).
% 1.53/1.22 tff(formula75, axiom,
% 1.53/1.22 k!1099($i!val!16) = $i!val!16).
% 1.53/1.22 tff(formula76, axiom,
% 1.53/1.22 k!1099($i!val!1) = $i!val!1).
% 1.53/1.22 tff(formula77, axiom,
% 1.53/1.22 k!1099($i!val!12) = $i!val!12).
% 1.53/1.22 tff(formula78, axiom,
% 1.53/1.22 k!1099($i!val!19) = $i!val!19).
% 1.53/1.22 tff(formula79, axiom,
% 1.53/1.22 k!1099($i!val!9) = $i!val!9).
% 1.53/1.22 tff(formula80, axiom,
% 1.53/1.22 k!1099($i!val!8) = $i!val!8).
% 1.53/1.22 tff(formula81, axiom,
% 1.53/1.22 k!1099($i!val!27) = $i!val!27).
% 1.53/1.22 tff(formula82, axiom,
% 1.53/1.22 k!1099($i!val!22) = $i!val!22).
% 1.53/1.22 tff(formula83, axiom,
% 1.53/1.22 k!1099($i!val!10) = $i!val!10).
% 1.53/1.22 tff(formula84, axiom,
% 1.53/1.22 k!1099($i!val!2) = $i!val!2).
% 1.53/1.22 tff(formula85, axiom,
% 1.53/1.22 k!1099($i!val!35) = $i!val!35).
% 1.53/1.22 tff(formula86, axiom,
% 1.53/1.22 k!1099($i!val!15) = $i!val!15).
% 1.53/1.22 tff(formula87, axiom,
% 1.53/1.22 k!1099($i!val!11) = $i!val!11).
% 1.53/1.22 tff(formula88, axiom,
% 1.53/1.22 k!1099($i!val!3) = $i!val!3).
% 1.53/1.22 tff(formula89, axiom,
% 1.53/1.22 k!1099($i!val!4) = $i!val!4).
% 1.53/1.22 tff(formula90, axiom,
% 1.53/1.22 k!1099($i!val!18) = $i!val!18).
% 1.53/1.22 tff(formula91, axiom,
% 1.53/1.22 k!1099($i!val!5) = $i!val!5).
% 1.53/1.22 tff(formula92, axiom,
% 1.53/1.22 k!1099($i!val!26) = $i!val!26).
% 1.53/1.22 tff(formula93, axiom,
% 1.53/1.22 k!1099($i!val!21) = $i!val!21).
% 1.53/1.22 tff(formula94, axiom,
% 1.53/1.22 k!1099($i!val!34) = $i!val!34).
% 1.53/1.22 tff(formula95, axiom,
% 1.53/1.22 k!1099($i!val!13) = $i!val!13).
% 1.53/1.22 tff(formula96, axiom,
% 1.53/1.22 k!1099($i!val!17) = $i!val!17).
% 1.53/1.22 tff(formula97, axiom,
% 1.53/1.22 k!1099($i!val!7) = $i!val!7).
% 1.53/1.22 tff(formula98, axiom,
% 1.53/1.22 ![X0: $i] : ((~((($i!val!0 = X0)) | (($i!val!31 = X0)) | (($i!val!23 = X0)) | (($i!val!30 = X0)) | (($i!val!28 = X0)) | (($i!val!16 = X0)) | (($i!val!1 = X0)) | (($i!val!12 = X0)) | (($i!val!19 = X0)) | (($i!val!9 = X0)) | (($i!val!8 = X0)) | (($i!val!27 = X0)) | (($i!val!22 = X0)) | (($i!val!10 = X0)) | (($i!val!2 = X0)) | (($i!val!35 = X0)) | (($i!val!15 = X0)) | (($i!val!11 = X0)) | (($i!val!3 = X0)) | (($i!val!4 = X0)) | (($i!val!18 = X0)) | (($i!val!5 = X0)) | (($i!val!26 = X0)) | (($i!val!21 = X0)) | (($i!val!34 = X0)) | (($i!val!13 = X0)) | (($i!val!17 = X0)) | (($i!val!7 = X0)))) => (k!1099(X0) = $i!val!32))).
% 1.53/1.22 tff(formula99, axiom,
% 1.53/1.22 ![X0: $i] : (c2_1(X0) <=> ((k!1099(X0) = $i!val!28) | (k!1099(X0) = $i!val!7) | (k!1099(X0) = $i!val!1)))).
% 1.53/1.22 tff(formula100, axiom,
% 1.53/1.22 ![X0: $i] : (c3_1(X0) <=> ((k!1099(X0) = $i!val!34) | (k!1099(X0) = $i!val!26) | (k!1099(X0) = $i!val!0) | (k!1099(X0) = $i!val!16) | (k!1099(X0) = $i!val!27) | (k!1099(X0) = $i!val!17) | (k!1099(X0) = $i!val!11) | (k!1099(X0) = $i!val!12) | (k!1099(X0) = $i!val!5)))).
% 1.53/1.22 tff(formula101, axiom,
% 1.53/1.22 k!1098($i!val!29) = $i!val!29).
% 1.53/1.22 tff(formula102, axiom,
% 1.53/1.22 k!1098($i!val!25) = $i!val!25).
% 1.53/1.22 tff(formula103, axiom,
% 1.53/1.22 k!1098($i!val!37) = $i!val!37).
% 1.53/1.22 tff(formula104, axiom,
% 1.53/1.22 k!1098($i!val!41) = $i!val!41).
% 1.53/1.22 tff(formula105, axiom,
% 1.53/1.22 k!1098($i!val!38) = $i!val!38).
% 1.53/1.22 tff(formula106, axiom,
% 1.53/1.22 k!1098($i!val!36) = $i!val!36).
% 1.53/1.22 tff(formula107, axiom,
% 1.53/1.22 k!1098($i!val!20) = $i!val!20).
% 1.53/1.22 tff(formula108, axiom,
% 1.53/1.22 k!1098($i!val!40) = $i!val!40).
% 1.53/1.22 tff(formula109, axiom,
% 1.53/1.22 k!1098($i!val!6) = $i!val!6).
% 1.53/1.22 tff(formula110, axiom,
% 1.53/1.22 k!1098($i!val!33) = $i!val!33).
% 1.53/1.22 tff(formula111, axiom,
% 1.53/1.22 k!1098($i!val!39) = $i!val!39).
% 1.53/1.22 tff(formula112, axiom,
% 1.53/1.22 k!1098($i!val!24) = $i!val!24).
% 1.53/1.22 tff(formula113, axiom,
% 1.53/1.22 k!1098($i!val!43) = $i!val!43).
% 1.53/1.22 tff(formula114, axiom,
% 1.53/1.22 k!1098($i!val!42) = $i!val!42).
% 1.53/1.22 tff(formula115, axiom,
% 1.53/1.22 ![X0: $i] : ((~((($i!val!29 = X0)) | (($i!val!25 = X0)) | (($i!val!37 = X0)) | (($i!val!41 = X0)) | (($i!val!38 = X0)) | (($i!val!36 = X0)) | (($i!val!20 = X0)) | (($i!val!40 = X0)) | (($i!val!6 = X0)) | (($i!val!33 = X0)) | (($i!val!39 = X0)) | (($i!val!24 = X0)) | (($i!val!43 = X0)) | (($i!val!42 = X0)))) => (k!1098(X0) = $i!val!14))).
% 1.53/1.22 tff(formula116, axiom,
% 1.53/1.22 ![X0: $i] : (c9_1(X0) <=> ((k!1099(X0) = $i!val!16) | (k!1099(X0) = $i!val!30)))).
% 1.53/1.22 tff(formula117, axiom,
% 1.53/1.22 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (((k!1099(X1) = $i!val!23) & (k!1098(X0) = $i!val!24)) | ((k!1099(X1) = $i!val!19) & (k!1098(X0) = $i!val!20)) | ((k!1099(X1) = $i!val!5) & (k!1098(X0) = $i!val!6))))).
% 1.53/1.22 tff(formula118, axiom,
% 1.53/1.22 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> $false)).
% 1.53/1.22 tff(formula119, axiom,
% 1.53/1.22 ![X0: $i] : (c7_1(X0) <=> ((k!1099(X0) = $i!val!7) | (k!1099(X0) = $i!val!3)))).
% 1.53/1.22 tff(formula120, axiom,
% 1.53/1.22 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((k!1099(X1) = $i!val!21) & (k!1098(X0) = $i!val!37)) | ((k!1099(X1) = $i!val!28) & (k!1098(X0) = $i!val!29)) | ((k!1099(X1) = $i!val!28) & (k!1098(X0) = $i!val!37))))).
% 1.53/1.22 % SZS output end Model
%------------------------------------------------------------------------------