TSTP Solution File: SYN422+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN422+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 23:55:16 EDT 2022
% Result : CounterSatisfiable 1.65s 1.33s
% Output : Model 1.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN422+1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Sep 5 03:17:44 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 1.65/1.33 % SZS status CounterSatisfiable
% 1.65/1.33 % SZS output start Model
% 1.65/1.33 tff(c10_0_type, type, (
% 1.65/1.33 c10_0: $o)).
% 1.65/1.33 tff(tptp_fun__i_val_3_type, type, (
% 1.65/1.33 tptp_fun__i_val_3: $i)).
% 1.65/1.33 tff(a621_type, type, (
% 1.65/1.33 a621: $i)).
% 1.65/1.33 tff(ndr1_0_type, type, (
% 1.65/1.33 ndr1_0: $o)).
% 1.65/1.33 tff(tptp_fun__i_val_40_type, type, (
% 1.65/1.33 tptp_fun__i_val_40: $i)).
% 1.65/1.33 tff(a666_type, type, (
% 1.65/1.33 a666: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_30_type, type, (
% 1.65/1.33 tptp_fun__i_val_30: $i)).
% 1.65/1.33 tff(a754_type, type, (
% 1.65/1.33 a754: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_39_type, type, (
% 1.65/1.33 tptp_fun__i_val_39: $i)).
% 1.65/1.33 tff(a747_type, type, (
% 1.65/1.33 a747: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_4_type, type, (
% 1.65/1.33 tptp_fun__i_val_4: $i)).
% 1.65/1.33 tff(a641_type, type, (
% 1.65/1.33 a641: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_27_type, type, (
% 1.65/1.33 tptp_fun__i_val_27: $i)).
% 1.65/1.33 tff(a724_type, type, (
% 1.65/1.33 a724: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_0_type, type, (
% 1.65/1.33 tptp_fun__i_val_0: $i)).
% 1.65/1.33 tff(a609_type, type, (
% 1.65/1.33 a609: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_36_type, type, (
% 1.65/1.33 tptp_fun__i_val_36: $i)).
% 1.65/1.33 tff(a750_type, type, (
% 1.65/1.33 a750: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_28_type, type, (
% 1.65/1.33 tptp_fun__i_val_28: $i)).
% 1.65/1.33 tff(a739_type, type, (
% 1.65/1.33 a739: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_12_type, type, (
% 1.65/1.33 tptp_fun__i_val_12: $i)).
% 1.65/1.33 tff(a658_type, type, (
% 1.65/1.33 a658: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_24_type, type, (
% 1.65/1.33 tptp_fun__i_val_24: $i)).
% 1.65/1.33 tff(a708_type, type, (
% 1.65/1.33 a708: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_9_type, type, (
% 1.65/1.33 tptp_fun__i_val_9: $i)).
% 1.65/1.33 tff(a652_type, type, (
% 1.65/1.33 a652: $i)).
% 1.65/1.33 tff(c6_0_type, type, (
% 1.65/1.33 c6_0: $o)).
% 1.65/1.33 tff(tptp_fun__i_val_18_type, type, (
% 1.65/1.33 tptp_fun__i_val_18: $i)).
% 1.65/1.33 tff(a688_type, type, (
% 1.65/1.33 a688: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_26_type, type, (
% 1.65/1.33 tptp_fun__i_val_26: $i)).
% 1.65/1.33 tff(a721_type, type, (
% 1.65/1.33 a721: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_34_type, type, (
% 1.65/1.33 tptp_fun__i_val_34: $i)).
% 1.65/1.33 tff(a743_type, type, (
% 1.65/1.33 a743: $i)).
% 1.65/1.33 tff(c9_0_type, type, (
% 1.65/1.33 c9_0: $o)).
% 1.65/1.33 tff(c4_0_type, type, (
% 1.65/1.33 c4_0: $o)).
% 1.65/1.33 tff(tptp_fun__i_val_22_type, type, (
% 1.65/1.33 tptp_fun__i_val_22: $i)).
% 1.65/1.33 tff(a703_type, type, (
% 1.65/1.33 a703: $i)).
% 1.65/1.33 tff(c3_0_type, type, (
% 1.65/1.33 c3_0: $o)).
% 1.65/1.33 tff(tptp_fun__i_val_25_type, type, (
% 1.65/1.33 tptp_fun__i_val_25: $i)).
% 1.65/1.33 tff(a707_type, type, (
% 1.65/1.33 a707: $i)).
% 1.65/1.33 tff(c8_0_type, type, (
% 1.65/1.33 c8_0: $o)).
% 1.65/1.33 tff(tptp_fun__i_val_16_type, type, (
% 1.65/1.33 tptp_fun__i_val_16: $i)).
% 1.65/1.33 tff(a686_type, type, (
% 1.65/1.33 a686: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_5_type, type, (
% 1.65/1.33 tptp_fun__i_val_5: $i)).
% 1.65/1.33 tff(a643_type, type, (
% 1.65/1.33 a643: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_20_type, type, (
% 1.65/1.33 tptp_fun__i_val_20: $i)).
% 1.65/1.33 tff(a698_type, type, (
% 1.65/1.33 a698: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_19_type, type, (
% 1.65/1.33 tptp_fun__i_val_19: $i)).
% 1.65/1.33 tff(a690_type, type, (
% 1.65/1.33 a690: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_21_type, type, (
% 1.65/1.33 tptp_fun__i_val_21: $i)).
% 1.65/1.33 tff(a699_type, type, (
% 1.65/1.33 a699: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_38_type, type, (
% 1.65/1.33 tptp_fun__i_val_38: $i)).
% 1.65/1.33 tff(a749_type, type, (
% 1.65/1.33 a749: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_23_type, type, (
% 1.65/1.33 tptp_fun__i_val_23: $i)).
% 1.65/1.33 tff(a705_type, type, (
% 1.65/1.33 a705: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_7_type, type, (
% 1.65/1.33 tptp_fun__i_val_7: $i)).
% 1.65/1.33 tff(a642_type, type, (
% 1.65/1.33 a642: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_37_type, type, (
% 1.65/1.33 tptp_fun__i_val_37: $i)).
% 1.65/1.33 tff(a744_type, type, (
% 1.65/1.33 a744: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_13_type, type, (
% 1.65/1.33 tptp_fun__i_val_13: $i)).
% 1.65/1.33 tff(a660_type, type, (
% 1.65/1.33 a660: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_6_type, type, (
% 1.65/1.33 tptp_fun__i_val_6: $i)).
% 1.65/1.33 tff(a644_type, type, (
% 1.65/1.33 a644: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_8_type, type, (
% 1.65/1.33 tptp_fun__i_val_8: $i)).
% 1.65/1.33 tff(a651_type, type, (
% 1.65/1.33 a651: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_14_type, type, (
% 1.65/1.33 tptp_fun__i_val_14: $i)).
% 1.65/1.33 tff(a668_type, type, (
% 1.65/1.33 a668: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_11_type, type, (
% 1.65/1.33 tptp_fun__i_val_11: $i)).
% 1.65/1.33 tff(a655_type, type, (
% 1.65/1.33 a655: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_32_type, type, (
% 1.65/1.33 tptp_fun__i_val_32: $i)).
% 1.65/1.33 tff(a757_type, type, (
% 1.65/1.33 a757: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_31_type, type, (
% 1.65/1.33 tptp_fun__i_val_31: $i)).
% 1.65/1.33 tff(a756_type, type, (
% 1.65/1.33 a756: $i)).
% 1.65/1.33 tff(c7_0_type, type, (
% 1.65/1.33 c7_0: $o)).
% 1.65/1.33 tff(tptp_fun__i_val_1_type, type, (
% 1.65/1.33 tptp_fun__i_val_1: $i)).
% 1.65/1.33 tff(a614_type, type, (
% 1.65/1.33 a614: $i)).
% 1.65/1.33 tff(c1_0_type, type, (
% 1.65/1.33 c1_0: $o)).
% 1.65/1.33 tff(tptp_fun__i_val_29_type, type, (
% 1.65/1.33 tptp_fun__i_val_29: $i)).
% 1.65/1.33 tff(a753_type, type, (
% 1.65/1.33 a753: $i)).
% 1.65/1.33 tff(c2_0_type, type, (
% 1.65/1.33 c2_0: $o)).
% 1.65/1.33 tff(tptp_fun__i_val_2_type, type, (
% 1.65/1.33 tptp_fun__i_val_2: $i)).
% 1.65/1.33 tff(a618_type, type, (
% 1.65/1.33 a618: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_33_type, type, (
% 1.65/1.33 tptp_fun__i_val_33: $i)).
% 1.65/1.33 tff(a758_type, type, (
% 1.65/1.33 a758: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_10_type, type, (
% 1.65/1.33 tptp_fun__i_val_10: $i)).
% 1.65/1.33 tff(a656_type, type, (
% 1.65/1.33 a656: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_17_type, type, (
% 1.65/1.33 tptp_fun__i_val_17: $i)).
% 1.65/1.33 tff(a687_type, type, (
% 1.65/1.33 a687: $i)).
% 1.65/1.33 tff(c5_0_type, type, (
% 1.65/1.33 c5_0: $o)).
% 1.65/1.33 tff(tptp_fun__i_val_15_type, type, (
% 1.65/1.33 tptp_fun__i_val_15: $i)).
% 1.65/1.33 tff(a670_type, type, (
% 1.65/1.33 a670: $i)).
% 1.65/1.33 tff(tptp_fun__i_val_35_type, type, (
% 1.65/1.33 tptp_fun__i_val_35: $i)).
% 1.65/1.33 tff(a659_type, type, (
% 1.65/1.33 a659: $i)).
% 1.65/1.33 tff(k!1319_type, type, (
% 1.65/1.33 k!1319: $i > $i)).
% 1.65/1.33 tff(c4_1_type, type, (
% 1.65/1.33 c4_1: $i > $o)).
% 1.65/1.33 tff(k!1318_type, type, (
% 1.65/1.33 k!1318: $i > $i)).
% 1.65/1.33 tff(c6_2_type, type, (
% 1.65/1.33 c6_2: ( $i * $i ) > $o)).
% 1.65/1.33 tff(c1_1_type, type, (
% 1.65/1.33 c1_1: $i > $o)).
% 1.65/1.33 tff(c8_1_type, type, (
% 1.65/1.33 c8_1: $i > $o)).
% 1.65/1.33 tff(c6_1_type, type, (
% 1.65/1.33 c6_1: $i > $o)).
% 1.65/1.33 tff(c8_2_type, type, (
% 1.65/1.33 c8_2: ( $i * $i ) > $o)).
% 1.65/1.33 tff(c9_2_type, type, (
% 1.65/1.33 c9_2: ( $i * $i ) > $o)).
% 1.65/1.33 tff(c7_2_type, type, (
% 1.65/1.33 c7_2: ( $i * $i ) > $o)).
% 1.65/1.33 tff(c10_2_type, type, (
% 1.65/1.33 c10_2: ( $i * $i ) > $o)).
% 1.65/1.33 tff(c4_2_type, type, (
% 1.65/1.33 c4_2: ( $i * $i ) > $o)).
% 1.65/1.33 tff(ndr1_1_type, type, (
% 1.65/1.33 ndr1_1: $i > $o)).
% 1.65/1.33 tff(c10_1_type, type, (
% 1.65/1.33 c10_1: $i > $o)).
% 1.65/1.33 tff(c5_2_type, type, (
% 1.65/1.33 c5_2: ( $i * $i ) > $o)).
% 1.65/1.33 tff(c5_1_type, type, (
% 1.65/1.33 c5_1: $i > $o)).
% 1.65/1.33 tff(c3_1_type, type, (
% 1.65/1.33 c3_1: $i > $o)).
% 1.65/1.33 tff(c2_1_type, type, (
% 1.65/1.33 c2_1: $i > $o)).
% 1.65/1.33 tff(c9_1_type, type, (
% 1.65/1.33 c9_1: $i > $o)).
% 1.65/1.33 tff(c3_2_type, type, (
% 1.65/1.33 c3_2: ( $i * $i ) > $o)).
% 1.65/1.33 tff(c2_2_type, type, (
% 1.65/1.33 c2_2: ( $i * $i ) > $o)).
% 1.65/1.33 tff(c7_1_type, type, (
% 1.65/1.33 c7_1: $i > $o)).
% 1.65/1.33 tff(c1_2_type, type, (
% 1.65/1.33 c1_2: ( $i * $i ) > $o)).
% 1.65/1.33 tff(formula1, axiom,
% 1.65/1.33 c10_0 <=> $false).
% 1.65/1.33 tff(formula2, axiom,
% 1.65/1.33 a621 = $i!val!3).
% 1.65/1.33 tff(formula3, axiom,
% 1.65/1.33 ndr1_0 <=> $true).
% 1.65/1.33 tff(formula4, axiom,
% 1.65/1.33 a666 = $i!val!40).
% 1.65/1.33 tff(formula5, axiom,
% 1.65/1.33 a754 = $i!val!30).
% 1.65/1.33 tff(formula6, axiom,
% 1.65/1.33 a747 = $i!val!39).
% 1.65/1.33 tff(formula7, axiom,
% 1.65/1.33 a641 = $i!val!4).
% 1.65/1.33 tff(formula8, axiom,
% 1.65/1.33 a724 = $i!val!27).
% 1.65/1.33 tff(formula9, axiom,
% 1.65/1.33 a609 = $i!val!0).
% 1.65/1.33 tff(formula10, axiom,
% 1.65/1.33 a750 = $i!val!36).
% 1.65/1.33 tff(formula11, axiom,
% 1.65/1.33 a739 = $i!val!28).
% 1.65/1.33 tff(formula12, axiom,
% 1.65/1.33 a658 = $i!val!12).
% 1.65/1.33 tff(formula13, axiom,
% 1.65/1.33 a708 = $i!val!24).
% 1.65/1.33 tff(formula14, axiom,
% 1.65/1.33 a652 = $i!val!9).
% 1.65/1.33 tff(formula15, axiom,
% 1.65/1.33 c6_0 <=> $false).
% 1.65/1.33 tff(formula16, axiom,
% 1.65/1.33 a688 = $i!val!18).
% 1.65/1.33 tff(formula17, axiom,
% 1.65/1.33 a721 = $i!val!26).
% 1.65/1.33 tff(formula18, axiom,
% 1.65/1.33 a743 = $i!val!34).
% 1.65/1.33 tff(formula19, axiom,
% 1.65/1.33 c9_0 <=> $true).
% 1.65/1.33 tff(formula20, axiom,
% 1.65/1.33 c4_0 <=> $true).
% 1.65/1.33 tff(formula21, axiom,
% 1.65/1.33 a703 = $i!val!22).
% 1.65/1.33 tff(formula22, axiom,
% 1.65/1.33 c3_0 <=> $true).
% 1.65/1.33 tff(formula23, axiom,
% 1.65/1.33 a707 = $i!val!25).
% 1.65/1.33 tff(formula24, axiom,
% 1.65/1.33 c8_0 <=> $true).
% 1.65/1.33 tff(formula25, axiom,
% 1.65/1.33 a686 = $i!val!16).
% 1.65/1.33 tff(formula26, axiom,
% 1.65/1.33 a643 = $i!val!5).
% 1.65/1.33 tff(formula27, axiom,
% 1.65/1.33 a698 = $i!val!20).
% 1.65/1.33 tff(formula28, axiom,
% 1.65/1.33 a690 = $i!val!19).
% 1.65/1.33 tff(formula29, axiom,
% 1.65/1.33 a699 = $i!val!21).
% 1.65/1.33 tff(formula30, axiom,
% 1.65/1.33 a749 = $i!val!38).
% 1.65/1.33 tff(formula31, axiom,
% 1.65/1.33 a705 = $i!val!23).
% 1.65/1.33 tff(formula32, axiom,
% 1.65/1.33 a642 = $i!val!7).
% 1.65/1.33 tff(formula33, axiom,
% 1.65/1.33 a744 = $i!val!37).
% 1.65/1.33 tff(formula34, axiom,
% 1.65/1.33 a660 = $i!val!13).
% 1.65/1.33 tff(formula35, axiom,
% 1.65/1.33 a644 = $i!val!6).
% 1.65/1.33 tff(formula36, axiom,
% 1.65/1.33 a651 = $i!val!8).
% 1.65/1.33 tff(formula37, axiom,
% 1.65/1.33 a668 = $i!val!14).
% 1.65/1.33 tff(formula38, axiom,
% 1.65/1.33 a655 = $i!val!11).
% 1.65/1.33 tff(formula39, axiom,
% 1.65/1.33 a757 = $i!val!32).
% 1.65/1.33 tff(formula40, axiom,
% 1.65/1.33 a756 = $i!val!31).
% 1.65/1.33 tff(formula41, axiom,
% 1.65/1.33 c7_0 <=> $false).
% 1.65/1.33 tff(formula42, axiom,
% 1.65/1.33 a614 = $i!val!1).
% 1.65/1.33 tff(formula43, axiom,
% 1.65/1.33 c1_0 <=> $false).
% 1.65/1.33 tff(formula44, axiom,
% 1.65/1.33 a753 = $i!val!29).
% 1.65/1.33 tff(formula45, axiom,
% 1.65/1.33 c2_0 <=> $false).
% 1.65/1.33 tff(formula46, axiom,
% 1.65/1.33 a618 = $i!val!2).
% 1.65/1.33 tff(formula47, axiom,
% 1.65/1.33 a758 = $i!val!33).
% 1.65/1.33 tff(formula48, axiom,
% 1.65/1.33 a656 = $i!val!10).
% 1.65/1.33 tff(formula49, axiom,
% 1.65/1.33 a687 = $i!val!17).
% 1.65/1.33 tff(formula50, axiom,
% 1.65/1.33 c5_0 <=> $false).
% 1.65/1.33 tff(formula51, axiom,
% 1.65/1.33 a670 = $i!val!15).
% 1.65/1.33 tff(formula52, axiom,
% 1.65/1.33 a659 = $i!val!35).
% 1.65/1.33 tff(formula53, axiom,
% 1.65/1.33 ![X0: $i] : (c4_1(X0) <=> ((k!1319(X0) = $i!val!22) | (k!1319(X0) = $i!val!26)))).
% 1.65/1.34 tff(formula54, axiom,
% 1.65/1.34 ![X0: $i, X1: $i] : (c6_2(X0, X1) <=> (((k!1319(X1) = $i!val!4) & (k!1318(X0) = $i!val!38)) | ((k!1319(X1) = $i!val!20) & (k!1318(X0) = $i!val!37)) | ((k!1319(X1) = $i!val!4) & (k!1318(X0) = $i!val!37)) | ((k!1319(X1) = $i!val!4) & (k!1318(X0) = $i!val!7))))).
% 1.65/1.34 tff(formula55, axiom,
% 1.65/1.34 k!1318($i!val!30) = $i!val!30).
% 1.65/1.34 tff(formula56, axiom,
% 1.65/1.34 k!1318($i!val!40) = $i!val!40).
% 1.65/1.34 tff(formula57, axiom,
% 1.65/1.34 k!1318($i!val!5) = $i!val!5).
% 1.65/1.34 tff(formula58, axiom,
% 1.65/1.34 k!1318($i!val!38) = $i!val!38).
% 1.65/1.34 tff(formula59, axiom,
% 1.65/1.34 k!1318($i!val!21) = $i!val!21).
% 1.65/1.34 tff(formula60, axiom,
% 1.65/1.34 k!1318($i!val!39) = $i!val!39).
% 1.65/1.34 tff(formula61, axiom,
% 1.65/1.34 k!1318($i!val!7) = $i!val!7).
% 1.65/1.34 tff(formula62, axiom,
% 1.65/1.34 k!1318($i!val!34) = $i!val!34).
% 1.65/1.34 tff(formula63, axiom,
% 1.65/1.34 k!1318($i!val!37) = $i!val!37).
% 1.65/1.34 tff(formula64, axiom,
% 1.65/1.34 k!1318($i!val!36) = $i!val!36).
% 1.65/1.34 tff(formula65, axiom,
% 1.65/1.34 k!1318($i!val!17) = $i!val!17).
% 1.65/1.34 tff(formula66, axiom,
% 1.65/1.34 k!1318($i!val!6) = $i!val!6).
% 1.65/1.34 tff(formula67, axiom,
% 1.65/1.34 k!1318($i!val!35) = $i!val!35).
% 1.65/1.34 tff(formula68, axiom,
% 1.65/1.34 ![X0: $i] : ((~((($i!val!30 = X0)) | (($i!val!40 = X0)) | (($i!val!5 = X0)) | (($i!val!38 = X0)) | (($i!val!21 = X0)) | (($i!val!39 = X0)) | (($i!val!7 = X0)) | (($i!val!34 = X0)) | (($i!val!37 = X0)) | (($i!val!36 = X0)) | (($i!val!17 = X0)) | (($i!val!6 = X0)) | (($i!val!35 = X0)))) => (k!1318(X0) = $i!val!18))).
% 1.65/1.34 tff(formula69, axiom,
% 1.65/1.34 ![X0: $i] : (c1_1(X0) <=> (X0 = $i!val!3))).
% 1.65/1.34 tff(formula70, axiom,
% 1.65/1.34 ![X0: $i] : (c8_1(X0) <=> ((k!1319(X0) = $i!val!16) | (k!1319(X0) = $i!val!25) | (k!1319(X0) = $i!val!15)))).
% 1.65/1.34 tff(formula71, axiom,
% 1.65/1.34 ![X0: $i] : (c6_1(X0) <=> (k!1319(X0) = $i!val!31))).
% 1.65/1.34 tff(formula72, axiom,
% 1.65/1.34 ![X0: $i, X1: $i] : (c8_2(X0, X1) <=> (((k!1319(X1) = $i!val!16) & (k!1318(X0) = $i!val!40)) | ((k!1319(X1) = $i!val!20) & (k!1318(X0) = $i!val!37)) | ((k!1319(X1) = $i!val!4) & (k!1318(X0) = $i!val!37)) | ((k!1319(X1) = $i!val!2) & (k!1318(X0) = $i!val!40)) | ((k!1319(X1) = $i!val!25) & (k!1318(X0) = $i!val!40)) | ((k!1319(X1) = $i!val!4) & (k!1318(X0) = $i!val!7))))).
% 1.65/1.34 tff(formula73, axiom,
% 1.65/1.34 ![X0: $i, X1: $i] : (c9_2(X0, X1) <=> (((k!1319(X1) = $i!val!20) & (k!1318(X0) = $i!val!37)) | ((k!1319(X1) = $i!val!4) & (k!1318(X0) = $i!val!37)) | ((k!1319(X1) = $i!val!31) & (k!1318(X0) = $i!val!39))))).
% 1.65/1.34 tff(formula74, axiom,
% 1.65/1.34 ![X0: $i, X1: $i] : (c7_2(X0, X1) <=> ((k!1319(X1) = $i!val!4) & (k!1318(X0) = $i!val!38)))).
% 1.65/1.34 tff(formula75, axiom,
% 1.65/1.34 ![X0: $i, X1: $i] : (c10_2(X0, X1) <=> ((k!1319(X1) = $i!val!29) & (k!1318(X0) = $i!val!30)))).
% 1.65/1.34 tff(formula76, axiom,
% 1.65/1.34 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((k!1319(X1) = $i!val!16) & (k!1318(X0) = $i!val!18)) | ((k!1319(X1) = $i!val!16) & (k!1318(X0) = $i!val!17))))).
% 1.65/1.34 tff(formula77, axiom,
% 1.65/1.34 ![X0: $i] : (ndr1_1(X0) <=> ((k!1319(X0) = $i!val!29) | (k!1319(X0) = $i!val!20) | (k!1319(X0) = $i!val!31) | (k!1319(X0) = $i!val!4) | (k!1319(X0) = $i!val!2) | (k!1319(X0) = $i!val!22) | (k!1319(X0) = $i!val!16) | (k!1319(X0) = $i!val!25)))).
% 1.65/1.34 tff(formula78, axiom,
% 1.65/1.34 ![X0: $i] : (c10_1(X0) <=> ((k!1319(X0) = $i!val!28) | (k!1319(X0) = $i!val!27) | (k!1319(X0) = $i!val!3) | (k!1319(X0) = $i!val!11) | (k!1319(X0) = $i!val!29) | (k!1319(X0) = $i!val!20) | (k!1319(X0) = $i!val!4) | (k!1319(X0) = $i!val!32) | (k!1319(X0) = $i!val!24)))).
% 1.65/1.34 tff(formula79, axiom,
% 1.65/1.34 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> ((k!1319(X1) = $i!val!31) & (k!1318(X0) = $i!val!39)))).
% 1.65/1.34 tff(formula80, axiom,
% 1.65/1.34 ![X0: $i] : (c5_1(X0) <=> ((X0 = $i!val!13) | (X0 = $i!val!32)))).
% 1.65/1.34 tff(formula81, axiom,
% 1.65/1.34 ![X0: $i] : (c3_1(X0) <=> ((k!1319(X0) = $i!val!13) | (k!1319(X0) = $i!val!2) | (k!1319(X0) = $i!val!25)))).
% 1.65/1.34 tff(formula82, axiom,
% 1.65/1.34 ![X0: $i] : (c2_1(X0) <=> ((k!1319(X0) = $i!val!11) | (k!1319(X0) = $i!val!20) | (k!1319(X0) = $i!val!31) | (k!1319(X0) = $i!val!15)))).
% 1.65/1.34 tff(formula83, axiom,
% 1.65/1.34 ![X0: $i] : (c9_1(X0) <=> ((k!1319(X0) = $i!val!15) | (k!1319(X0) = $i!val!20)))).
% 1.65/1.34 tff(formula84, axiom,
% 1.65/1.34 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (((k!1319(X1) = $i!val!16) & (k!1318(X0) = $i!val!40)) | ((k!1319(X1) = $i!val!20) & (k!1318(X0) = $i!val!21)) | ((k!1319(X1) = $i!val!2) & (k!1318(X0) = $i!val!40)) | ((k!1319(X1) = $i!val!25) & (k!1318(X0) = $i!val!40))))).
% 1.65/1.34 tff(formula85, axiom,
% 1.65/1.34 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> (((k!1319(X1) = $i!val!25) & (k!1318(X0) = $i!val!36)) | ((k!1319(X1) = $i!val!29) & (k!1318(X0) = $i!val!36)) | ((k!1319(X1) = $i!val!16) & (k!1318(X0) = $i!val!36)) | ((k!1319(X1) = $i!val!2) & (k!1318(X0) = $i!val!36)) | ((k!1319(X1) = $i!val!20) & (k!1318(X0) = $i!val!36)) | ((k!1319(X1) = $i!val!16) & (k!1318(X0) = $i!val!18)) | ((k!1319(X1) = $i!val!4) & (k!1318(X0) = $i!val!7))))).
% 1.65/1.34 tff(formula86, axiom,
% 1.65/1.34 ![X0: $i] : (c7_1(X0) <=> ((k!1319(X0) = $i!val!13) | (k!1319(X0) = $i!val!12) | (k!1319(X0) = $i!val!26)))).
% 1.65/1.34 tff(formula87, axiom,
% 1.65/1.34 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((k!1319(X1) = $i!val!20) & (k!1318(X0) = $i!val!21)) | ((k!1319(X1) = $i!val!25) & (k!1318(X0) = $i!val!40))))).
% 1.65/1.34 tff(formula88, axiom,
% 1.65/1.34 k!1319($i!val!3) = $i!val!3).
% 1.65/1.34 tff(formula89, axiom,
% 1.65/1.34 k!1319($i!val!16) = $i!val!16).
% 1.65/1.34 tff(formula90, axiom,
% 1.65/1.34 k!1319($i!val!20) = $i!val!20).
% 1.65/1.34 tff(formula91, axiom,
% 1.65/1.34 k!1319($i!val!19) = $i!val!19).
% 1.65/1.34 tff(formula92, axiom,
% 1.65/1.34 k!1319($i!val!4) = $i!val!4).
% 1.65/1.34 tff(formula93, axiom,
% 1.65/1.34 k!1319($i!val!27) = $i!val!27).
% 1.65/1.34 tff(formula94, axiom,
% 1.65/1.34 k!1319($i!val!23) = $i!val!23).
% 1.65/1.34 tff(formula95, axiom,
% 1.65/1.34 k!1319($i!val!0) = $i!val!0).
% 1.65/1.34 tff(formula96, axiom,
% 1.65/1.34 k!1319($i!val!13) = $i!val!13).
% 1.65/1.34 tff(formula97, axiom,
% 1.65/1.34 k!1319($i!val!28) = $i!val!28).
% 1.65/1.34 tff(formula98, axiom,
% 1.65/1.34 k!1319($i!val!12) = $i!val!12).
% 1.65/1.34 tff(formula99, axiom,
% 1.65/1.34 k!1319($i!val!8) = $i!val!8).
% 1.65/1.34 tff(formula100, axiom,
% 1.65/1.34 k!1319($i!val!32) = $i!val!32).
% 1.65/1.34 tff(formula101, axiom,
% 1.65/1.34 k!1319($i!val!24) = $i!val!24).
% 1.65/1.34 tff(formula102, axiom,
% 1.65/1.34 k!1319($i!val!11) = $i!val!11).
% 1.65/1.34 tff(formula103, axiom,
% 1.65/1.34 k!1319($i!val!9) = $i!val!9).
% 1.65/1.34 tff(formula104, axiom,
% 1.65/1.34 k!1319($i!val!31) = $i!val!31).
% 1.65/1.34 tff(formula105, axiom,
% 1.65/1.34 k!1319($i!val!1) = $i!val!1).
% 1.65/1.34 tff(formula106, axiom,
% 1.65/1.34 k!1319($i!val!26) = $i!val!26).
% 1.65/1.34 tff(formula107, axiom,
% 1.65/1.34 k!1319($i!val!14) = $i!val!14).
% 1.65/1.34 tff(formula108, axiom,
% 1.65/1.34 k!1319($i!val!29) = $i!val!29).
% 1.65/1.34 tff(formula109, axiom,
% 1.65/1.34 k!1319($i!val!2) = $i!val!2).
% 1.65/1.34 tff(formula110, axiom,
% 1.65/1.34 k!1319($i!val!33) = $i!val!33).
% 1.65/1.34 tff(formula111, axiom,
% 1.65/1.34 k!1319($i!val!10) = $i!val!10).
% 1.65/1.34 tff(formula112, axiom,
% 1.65/1.34 k!1319($i!val!15) = $i!val!15).
% 1.65/1.34 tff(formula113, axiom,
% 1.65/1.34 k!1319($i!val!22) = $i!val!22).
% 1.65/1.34 tff(formula114, axiom,
% 1.65/1.34 ![X0: $i] : ((~((($i!val!3 = X0)) | (($i!val!16 = X0)) | (($i!val!20 = X0)) | (($i!val!19 = X0)) | (($i!val!4 = X0)) | (($i!val!27 = X0)) | (($i!val!23 = X0)) | (($i!val!0 = X0)) | (($i!val!13 = X0)) | (($i!val!28 = X0)) | (($i!val!12 = X0)) | (($i!val!8 = X0)) | (($i!val!32 = X0)) | (($i!val!24 = X0)) | (($i!val!11 = X0)) | (($i!val!9 = X0)) | (($i!val!31 = X0)) | (($i!val!1 = X0)) | (($i!val!26 = X0)) | (($i!val!14 = X0)) | (($i!val!29 = X0)) | (($i!val!2 = X0)) | (($i!val!33 = X0)) | (($i!val!10 = X0)) | (($i!val!15 = X0)) | (($i!val!22 = X0)))) => (k!1319(X0) = $i!val!25))).
% 1.65/1.34 % SZS output end Model
%------------------------------------------------------------------------------