TSTP Solution File: SYN539-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN539-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n026.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 23:56:18 EDT 2022
% Result : Satisfiable 1.09s 0.94s
% Output : Model 1.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN539-1 : TPTP v8.1.0. Released v2.1.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n026.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 05:38:25 EDT 2022
% 0.13/0.34 % 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.
% 1.09/0.94 % SZS status Satisfiable
% 1.09/0.94 % SZS output start Model
% 1.09/0.94 tff(tptp_fun__i_val_15_type, type, (
% 1.09/0.94 tptp_fun__i_val_15: $i)).
% 1.09/0.94 tff(a621_type, type, (
% 1.09/0.94 a621: $i)).
% 1.09/0.94 tff(tptp_fun__i_val_18_type, type, (
% 1.09/0.94 tptp_fun__i_val_18: $i)).
% 1.09/0.94 tff(a599_type, type, (
% 1.09/0.94 a599: $i)).
% 1.09/0.94 tff(ssSkC3_type, type, (
% 1.09/0.94 ssSkC3: $o)).
% 1.09/0.94 tff(ndr1_0_type, type, (
% 1.09/0.94 ndr1_0: $o)).
% 1.09/0.94 tff(tptp_fun__i_val_26_type, type, (
% 1.09/0.94 tptp_fun__i_val_26: $i)).
% 1.09/0.94 tff(a588_type, type, (
% 1.09/0.94 a588: $i)).
% 1.09/0.94 tff(tptp_fun__i_val_6_type, type, (
% 1.09/0.94 tptp_fun__i_val_6: $i)).
% 1.09/0.94 tff(a631_type, type, (
% 1.09/0.94 a631: $i)).
% 1.09/0.94 tff(ssSkC6_type, type, (
% 1.09/0.94 ssSkC6: $o)).
% 1.09/0.94 tff(tptp_fun__i_val_10_type, type, (
% 1.09/0.94 tptp_fun__i_val_10: $i)).
% 1.09/0.94 tff(a629_type, type, (
% 1.09/0.94 a629: $i)).
% 1.09/0.94 tff(tptp_fun__i_val_22_type, type, (
% 1.09/0.94 tptp_fun__i_val_22: $i)).
% 1.09/0.94 tff(a596_type, type, (
% 1.09/0.94 a596: $i)).
% 1.09/0.94 tff(a613_type, type, (
% 1.09/0.94 a613: $i)).
% 1.09/0.94 tff(tptp_fun__i_val_9_type, type, (
% 1.09/0.94 tptp_fun__i_val_9: $i)).
% 1.09/0.94 tff(a633_type, type, (
% 1.09/0.94 a633: $i)).
% 1.09/0.94 tff(tptp_fun__i_val_8_type, type, (
% 1.09/0.94 tptp_fun__i_val_8: $i)).
% 1.09/0.94 tff(a592_type, type, (
% 1.09/0.94 a592: $i)).
% 1.09/0.94 tff(tptp_fun__i_val_3_type, type, (
% 1.09/0.94 tptp_fun__i_val_3: $i)).
% 1.09/0.94 tff(a608_type, type, (
% 1.09/0.94 a608: $i)).
% 1.09/0.94 tff(a600_type, type, (
% 1.09/0.94 a600: $i)).
% 1.09/0.94 tff(tptp_fun__i_val_1_type, type, (
% 1.09/0.94 tptp_fun__i_val_1: $i)).
% 1.09/0.94 tff(a587_type, type, (
% 1.09/0.94 a587: $i)).
% 1.09/0.94 tff(a623_type, type, (
% 1.09/0.94 a623: $i)).
% 1.09/0.94 tff(tptp_fun__i_val_16_type, type, (
% 1.09/0.94 tptp_fun__i_val_16: $i)).
% 1.09/0.94 tff(a603_type, type, (
% 1.09/0.94 a603: $i)).
% 1.09/0.94 tff(tptp_fun__i_val_2_type, type, (
% 1.09/0.94 tptp_fun__i_val_2: $i)).
% 1.09/0.94 tff(a624_type, type, (
% 1.09/0.94 a624: $i)).
% 1.09/0.94 tff(tptp_fun__i_val_13_type, type, (
% 1.09/0.94 tptp_fun__i_val_13: $i)).
% 1.09/0.94 tff(a620_type, type, (
% 1.09/0.94 a620: $i)).
% 1.09/0.94 tff(a601_type, type, (
% 1.09/0.94 a601: $i)).
% 1.09/0.94 tff(ssSkC7_type, type, (
% 1.09/0.94 ssSkC7: $o)).
% 1.09/0.94 tff(c4_0_type, type, (
% 1.09/0.94 c4_0: $o)).
% 1.09/0.94 tff(a628_type, type, (
% 1.09/0.94 a628: $i)).
% 1.09/0.94 tff(c3_0_type, type, (
% 1.09/0.94 c3_0: $o)).
% 1.09/0.94 tff(tptp_fun__i_val_11_type, type, (
% 1.09/0.94 tptp_fun__i_val_11: $i)).
% 1.09/0.94 tff(a619_type, type, (
% 1.09/0.94 a619: $i)).
% 1.09/0.94 tff(ssSkC4_type, type, (
% 1.09/0.94 ssSkC4: $o)).
% 1.09/0.94 tff(tptp_fun__i_val_14_type, type, (
% 1.09/0.94 tptp_fun__i_val_14: $i)).
% 1.09/0.94 tff(a615_type, type, (
% 1.09/0.94 a615: $i)).
% 1.09/0.94 tff(tptp_fun__i_val_23_type, type, (
% 1.09/0.94 tptp_fun__i_val_23: $i)).
% 1.09/0.94 tff(a598_type, type, (
% 1.09/0.94 a598: $i)).
% 1.09/0.94 tff(a617_type, type, (
% 1.09/0.94 a617: $i)).
% 1.09/0.94 tff(ssSkC2_type, type, (
% 1.09/0.94 ssSkC2: $o)).
% 1.09/0.94 tff(tptp_fun__i_val_4_type, type, (
% 1.09/0.94 tptp_fun__i_val_4: $i)).
% 1.09/0.94 tff(a593_type, type, (
% 1.09/0.94 a593: $i)).
% 1.09/0.94 tff(tptp_fun__i_val_29_type, type, (
% 1.09/0.94 tptp_fun__i_val_29: $i)).
% 1.09/0.94 tff(a595_type, type, (
% 1.09/0.94 a595: $i)).
% 1.09/0.94 tff(ssSkC0_type, type, (
% 1.09/0.94 ssSkC0: $o)).
% 1.09/0.94 tff(a635_type, type, (
% 1.09/0.94 a635: $i)).
% 1.09/0.94 tff(a636_type, type, (
% 1.09/0.94 a636: $i)).
% 1.09/0.94 tff(a604_type, type, (
% 1.09/0.94 a604: $i)).
% 1.09/0.94 tff(tptp_fun__i_val_12_type, type, (
% 1.09/0.94 tptp_fun__i_val_12: $i)).
% 1.09/0.94 tff(a616_type, type, (
% 1.09/0.94 a616: $i)).
% 1.09/0.94 tff(tptp_fun__i_val_7_type, type, (
% 1.09/0.94 tptp_fun__i_val_7: $i)).
% 1.09/0.94 tff(a634_type, type, (
% 1.09/0.94 a634: $i)).
% 1.09/0.94 tff(tptp_fun__i_val_27_type, type, (
% 1.09/0.94 tptp_fun__i_val_27: $i)).
% 1.09/0.94 tff(a610_type, type, (
% 1.09/0.94 a610: $i)).
% 1.09/0.94 tff(tptp_fun__i_val_24_type, type, (
% 1.09/0.94 tptp_fun__i_val_24: $i)).
% 1.09/0.94 tff(a597_type, type, (
% 1.09/0.94 a597: $i)).
% 1.09/0.94 tff(a590_type, type, (
% 1.09/0.94 a590: $i)).
% 1.09/0.94 tff(a611_type, type, (
% 1.09/0.94 a611: $i)).
% 1.09/0.94 tff(tptp_fun__i_val_25_type, type, (
% 1.09/0.94 tptp_fun__i_val_25: $i)).
% 1.09/0.94 tff(a632_type, type, (
% 1.09/0.94 a632: $i)).
% 1.09/0.94 tff(a614_type, type, (
% 1.09/0.94 a614: $i)).
% 1.09/0.94 tff(c1_0_type, type, (
% 1.09/0.94 c1_0: $o)).
% 1.09/0.94 tff(a591_type, type, (
% 1.09/0.94 a591: $i)).
% 1.09/0.94 tff(tptp_fun__i_val_21_type, type, (
% 1.09/0.94 tptp_fun__i_val_21: $i)).
% 1.09/0.94 tff(a605_type, type, (
% 1.09/0.94 a605: $i)).
% 1.09/0.94 tff(a589_type, type, (
% 1.09/0.94 a589: $i)).
% 1.09/0.94 tff(c2_0_type, type, (
% 1.09/0.94 c2_0: $o)).
% 1.09/0.94 tff(ssSkC5_type, type, (
% 1.09/0.94 ssSkC5: $o)).
% 1.09/0.94 tff(tptp_fun__i_val_5_type, type, (
% 1.09/0.94 tptp_fun__i_val_5: $i)).
% 1.09/0.94 tff(a638_type, type, (
% 1.09/0.94 a638: $i)).
% 1.09/0.94 tff(tptp_fun__i_val_0_type, type, (
% 1.09/0.94 tptp_fun__i_val_0: $i)).
% 1.09/0.94 tff(a637_type, type, (
% 1.09/0.94 a637: $i)).
% 1.09/0.94 tff(ssSkC1_type, type, (
% 1.09/0.94 ssSkC1: $o)).
% 1.09/0.94 tff(tptp_fun__i_val_20_type, type, (
% 1.09/0.94 tptp_fun__i_val_20: $i)).
% 1.09/0.94 tff(a618_type, type, (
% 1.09/0.94 a618: $i)).
% 1.09/0.94 tff(tptp_fun__i_val_28_type, type, (
% 1.09/0.94 tptp_fun__i_val_28: $i)).
% 1.09/0.94 tff(a627_type, type, (
% 1.09/0.94 a627: $i)).
% 1.09/0.94 tff(a622_type, type, (
% 1.09/0.94 a622: $i)).
% 1.09/0.94 tff(tptp_fun__i_val_17_type, type, (
% 1.09/0.94 tptp_fun__i_val_17: $i)).
% 1.09/0.94 tff(a602_type, type, (
% 1.09/0.94 a602: $i)).
% 1.09/0.94 tff(tptp_fun__i_val_19_type, type, (
% 1.09/0.94 tptp_fun__i_val_19: $i)).
% 1.09/0.94 tff(a639_type, type, (
% 1.09/0.94 a639: $i)).
% 1.09/0.94 tff(c5_0_type, type, (
% 1.09/0.94 c5_0: $o)).
% 1.09/0.94 tff(c4_1_type, type, (
% 1.09/0.94 c4_1: $i > $o)).
% 1.09/0.94 tff(k!1582_type, type, (
% 1.09/0.94 k!1582: $i > $i)).
% 1.09/0.94 tff(c1_1_type, type, (
% 1.09/0.94 c1_1: $i > $o)).
% 1.09/0.94 tff(k!1583_type, type, (
% 1.09/0.94 k!1583: $i > $i)).
% 1.09/0.94 tff(ssSkP0_type, type, (
% 1.09/0.94 ssSkP0: $i > $o)).
% 1.09/0.94 tff(c4_2_type, type, (
% 1.09/0.94 c4_2: ( $i * $i ) > $o)).
% 1.09/0.94 tff(ndr1_1_type, type, (
% 1.09/0.94 ndr1_1: $i > $o)).
% 1.09/0.94 tff(c5_2_type, type, (
% 1.09/0.94 c5_2: ( $i * $i ) > $o)).
% 1.09/0.94 tff(ssSkP3_type, type, (
% 1.09/0.94 ssSkP3: $i > $o)).
% 1.09/0.94 tff(c5_1_type, type, (
% 1.09/0.94 c5_1: $i > $o)).
% 1.09/0.94 tff(c2_1_type, type, (
% 1.09/0.94 c2_1: $i > $o)).
% 1.09/0.94 tff(c3_1_type, type, (
% 1.09/0.94 c3_1: $i > $o)).
% 1.09/0.94 tff(ssSkP1_type, type, (
% 1.09/0.94 ssSkP1: $i > $o)).
% 1.09/0.94 tff(c3_2_type, type, (
% 1.09/0.94 c3_2: ( $i * $i ) > $o)).
% 1.09/0.94 tff(ssSkP2_type, type, (
% 1.09/0.94 ssSkP2: $i > $o)).
% 1.09/0.94 tff(c2_2_type, type, (
% 1.09/0.94 c2_2: ( $i * $i ) > $o)).
% 1.09/0.94 tff(c1_2_type, type, (
% 1.09/0.94 c1_2: ( $i * $i ) > $o)).
% 1.09/0.94 tff(formula1, axiom,
% 1.09/0.94 a621 = $i!val!15).
% 1.09/0.94 tff(formula2, axiom,
% 1.09/0.94 a599 = $i!val!18).
% 1.09/0.94 tff(formula3, axiom,
% 1.09/0.94 ssSkC3 <=> $true).
% 1.09/0.94 tff(formula4, axiom,
% 1.09/0.94 ndr1_0 <=> $true).
% 1.09/0.94 tff(formula5, axiom,
% 1.09/0.94 a588 = $i!val!26).
% 1.09/0.94 tff(formula6, axiom,
% 1.09/0.94 a631 = $i!val!6).
% 1.09/0.94 tff(formula7, axiom,
% 1.09/0.94 ssSkC6 <=> $false).
% 1.09/0.94 tff(formula8, axiom,
% 1.09/0.94 a629 = $i!val!10).
% 1.09/0.94 tff(formula9, axiom,
% 1.09/0.94 a596 = $i!val!22).
% 1.09/0.94 tff(formula10, axiom,
% 1.09/0.94 a613 = $i!val!26).
% 1.09/0.94 tff(formula11, axiom,
% 1.09/0.94 a633 = $i!val!9).
% 1.09/0.94 tff(formula12, axiom,
% 1.09/0.94 a592 = $i!val!8).
% 1.09/0.94 tff(formula13, axiom,
% 1.09/0.94 a608 = $i!val!3).
% 1.09/0.94 tff(formula14, axiom,
% 1.09/0.94 a600 = $i!val!26).
% 1.09/0.94 tff(formula15, axiom,
% 1.09/0.94 a587 = $i!val!1).
% 1.09/0.94 tff(formula16, axiom,
% 1.09/0.94 a623 = $i!val!26).
% 1.09/0.94 tff(formula17, axiom,
% 1.09/0.94 a603 = $i!val!16).
% 1.09/0.94 tff(formula18, axiom,
% 1.09/0.94 a624 = $i!val!2).
% 1.09/0.94 tff(formula19, axiom,
% 1.09/0.94 a620 = $i!val!13).
% 1.09/0.94 tff(formula20, axiom,
% 1.09/0.94 a601 = $i!val!26).
% 1.09/0.94 tff(formula21, axiom,
% 1.09/0.94 ssSkC7 <=> $false).
% 1.09/0.94 tff(formula22, axiom,
% 1.09/0.94 c4_0 <=> $false).
% 1.09/0.94 tff(formula23, axiom,
% 1.09/0.94 a628 = $i!val!26).
% 1.09/0.94 tff(formula24, axiom,
% 1.09/0.94 c3_0 <=> $true).
% 1.09/0.94 tff(formula25, axiom,
% 1.09/0.94 a619 = $i!val!11).
% 1.09/0.94 tff(formula26, axiom,
% 1.09/0.94 ssSkC4 <=> $true).
% 1.09/0.94 tff(formula27, axiom,
% 1.09/0.94 a615 = $i!val!14).
% 1.09/0.94 tff(formula28, axiom,
% 1.09/0.94 a598 = $i!val!23).
% 1.09/0.94 tff(formula29, axiom,
% 1.09/0.94 a617 = $i!val!26).
% 1.09/0.94 tff(formula30, axiom,
% 1.09/0.94 ssSkC2 <=> $true).
% 1.09/0.94 tff(formula31, axiom,
% 1.09/0.94 a593 = $i!val!4).
% 1.09/0.94 tff(formula32, axiom,
% 1.09/0.94 a595 = $i!val!29).
% 1.09/0.94 tff(formula33, axiom,
% 1.09/0.94 ssSkC0 <=> $false).
% 1.09/0.94 tff(formula34, axiom,
% 1.09/0.94 a635 = $i!val!26).
% 1.09/0.94 tff(formula35, axiom,
% 1.09/0.94 a636 = $i!val!26).
% 1.09/0.94 tff(formula36, axiom,
% 1.09/0.94 a604 = $i!val!26).
% 1.09/0.94 tff(formula37, axiom,
% 1.09/0.94 a616 = $i!val!12).
% 1.09/0.94 tff(formula38, axiom,
% 1.09/0.94 a634 = $i!val!7).
% 1.09/0.94 tff(formula39, axiom,
% 1.09/0.94 a610 = $i!val!27).
% 1.09/0.94 tff(formula40, axiom,
% 1.09/0.94 a597 = $i!val!24).
% 1.09/0.94 tff(formula41, axiom,
% 1.09/0.94 a590 = $i!val!26).
% 1.09/0.94 tff(formula42, axiom,
% 1.09/0.94 a611 = $i!val!26).
% 1.09/0.94 tff(formula43, axiom,
% 1.09/0.94 a632 = $i!val!25).
% 1.09/0.94 tff(formula44, axiom,
% 1.09/0.94 a614 = $i!val!26).
% 1.09/0.94 tff(formula45, axiom,
% 1.09/0.94 c1_0 <=> $true).
% 1.09/0.94 tff(formula46, axiom,
% 1.09/0.94 a591 = $i!val!26).
% 1.09/0.94 tff(formula47, axiom,
% 1.09/0.94 a605 = $i!val!21).
% 1.09/0.94 tff(formula48, axiom,
% 1.09/0.94 a589 = $i!val!26).
% 1.09/0.94 tff(formula49, axiom,
% 1.09/0.94 c2_0 <=> $false).
% 1.09/0.94 tff(formula50, axiom,
% 1.09/0.94 ssSkC5 <=> $false).
% 1.09/0.94 tff(formula51, axiom,
% 1.09/0.94 a638 = $i!val!5).
% 1.09/0.94 tff(formula52, axiom,
% 1.09/0.94 a637 = $i!val!0).
% 1.09/0.94 tff(formula53, axiom,
% 1.09/0.94 ssSkC1 <=> $true).
% 1.09/0.94 tff(formula54, axiom,
% 1.09/0.94 a618 = $i!val!20).
% 1.09/0.94 tff(formula55, axiom,
% 1.09/0.94 a627 = $i!val!28).
% 1.09/0.94 tff(formula56, axiom,
% 1.09/0.94 a622 = $i!val!26).
% 1.09/0.94 tff(formula57, axiom,
% 1.09/0.94 a602 = $i!val!17).
% 1.09/0.94 tff(formula58, axiom,
% 1.09/0.94 a639 = $i!val!19).
% 1.09/0.94 tff(formula59, axiom,
% 1.09/0.94 c5_0 <=> $true).
% 1.09/0.94 tff(formula60, axiom,
% 1.09/0.94 ![X0: $i] : (c4_1(X0) <=> $false)).
% 1.09/0.94 tff(formula61, axiom,
% 1.09/0.94 ![X0: $i] : (c1_1(X0) <=> ((k!1582(X0) = $i!val!0) | (k!1582(X0) = $i!val!13) | (k!1582(X0) = $i!val!7) | (k!1582(X0) = $i!val!4) | (k!1582(X0) = $i!val!22) | (k!1582(X0) = $i!val!12) | (k!1582(X0) = $i!val!8)))).
% 1.09/0.94 tff(formula62, axiom,
% 1.09/0.94 k!1583($i!val!18) = $i!val!18).
% 1.09/0.94 tff(formula63, axiom,
% 1.09/0.94 k!1583($i!val!23) = $i!val!23).
% 1.09/0.94 tff(formula64, axiom,
% 1.09/0.94 k!1583($i!val!16) = $i!val!16).
% 1.11/0.94 tff(formula65, axiom,
% 1.11/0.94 k!1583($i!val!29) = $i!val!29).
% 1.11/0.94 tff(formula66, axiom,
% 1.11/0.94 k!1583($i!val!28) = $i!val!28).
% 1.11/0.94 tff(formula67, axiom,
% 1.11/0.94 k!1583($i!val!20) = $i!val!20).
% 1.11/0.94 tff(formula68, axiom,
% 1.11/0.94 k!1583($i!val!5) = $i!val!5).
% 1.11/0.94 tff(formula69, axiom,
% 1.11/0.94 k!1583($i!val!27) = $i!val!27).
% 1.11/0.94 tff(formula70, axiom,
% 1.11/0.94 k!1583($i!val!24) = $i!val!24).
% 1.11/0.94 tff(formula71, axiom,
% 1.11/0.94 k!1583($i!val!17) = $i!val!17).
% 1.11/0.94 tff(formula72, axiom,
% 1.11/0.94 k!1583($i!val!26) = $i!val!26).
% 1.11/0.94 tff(formula73, axiom,
% 1.11/0.94 k!1583($i!val!25) = $i!val!25).
% 1.11/0.94 tff(formula74, axiom,
% 1.11/0.94 k!1583($i!val!19) = $i!val!19).
% 1.11/0.94 tff(formula75, axiom,
% 1.11/0.94 ![X0: $i] : ((~((($i!val!18 = X0)) | (($i!val!23 = X0)) | (($i!val!16 = X0)) | (($i!val!29 = X0)) | (($i!val!28 = X0)) | (($i!val!20 = X0)) | (($i!val!5 = X0)) | (($i!val!27 = X0)) | (($i!val!24 = X0)) | (($i!val!17 = X0)) | (($i!val!26 = X0)) | (($i!val!25 = X0)) | (($i!val!19 = X0)))) => (k!1583(X0) = $i!val!15))).
% 1.11/0.94 tff(formula76, axiom,
% 1.11/0.94 k!1582($i!val!14) = $i!val!14).
% 1.11/0.94 tff(formula77, axiom,
% 1.11/0.94 k!1582($i!val!21) = $i!val!21).
% 1.11/0.94 tff(formula78, axiom,
% 1.11/0.94 k!1582($i!val!6) = $i!val!6).
% 1.11/0.94 tff(formula79, axiom,
% 1.11/0.94 k!1582($i!val!4) = $i!val!4).
% 1.11/0.94 tff(formula80, axiom,
% 1.11/0.94 k!1582($i!val!10) = $i!val!10).
% 1.11/0.94 tff(formula81, axiom,
% 1.11/0.94 k!1582($i!val!2) = $i!val!2).
% 1.11/0.94 tff(formula82, axiom,
% 1.11/0.94 k!1582($i!val!13) = $i!val!13).
% 1.11/0.94 tff(formula83, axiom,
% 1.11/0.94 k!1582($i!val!0) = $i!val!0).
% 1.11/0.94 tff(formula84, axiom,
% 1.11/0.94 k!1582($i!val!22) = $i!val!22).
% 1.11/0.94 tff(formula85, axiom,
% 1.11/0.94 k!1582($i!val!12) = $i!val!12).
% 1.11/0.94 tff(formula86, axiom,
% 1.11/0.94 k!1582($i!val!7) = $i!val!7).
% 1.11/0.94 tff(formula87, axiom,
% 1.11/0.94 k!1582($i!val!9) = $i!val!9).
% 1.11/0.94 tff(formula88, axiom,
% 1.11/0.94 k!1582($i!val!8) = $i!val!8).
% 1.11/0.94 tff(formula89, axiom,
% 1.11/0.94 k!1582($i!val!3) = $i!val!3).
% 1.11/0.94 tff(formula90, axiom,
% 1.11/0.94 k!1582($i!val!11) = $i!val!11).
% 1.11/0.94 tff(formula91, axiom,
% 1.11/0.94 ![X0: $i] : ((~((($i!val!14 = X0)) | (($i!val!21 = X0)) | (($i!val!6 = X0)) | (($i!val!4 = X0)) | (($i!val!10 = X0)) | (($i!val!2 = X0)) | (($i!val!13 = X0)) | (($i!val!0 = X0)) | (($i!val!22 = X0)) | (($i!val!12 = X0)) | (($i!val!7 = X0)) | (($i!val!9 = X0)) | (($i!val!8 = X0)) | (($i!val!3 = X0)) | (($i!val!11 = X0)))) => (k!1582(X0) = $i!val!1))).
% 1.11/0.94 tff(formula92, axiom,
% 1.11/0.94 ![X0: $i] : (ssSkP0(X0) <=> ((k!1582(X0) = $i!val!11) | (k!1582(X0) = $i!val!9) | (k!1582(X0) = $i!val!1) | (k!1582(X0) = $i!val!2) | (k!1582(X0) = $i!val!10) | (k!1582(X0) = $i!val!6) | (k!1582(X0) = $i!val!14) | (k!1582(X0) = $i!val!3) | (k!1582(X0) = $i!val!21) | (k!1582(X0) = $i!val!12)))).
% 1.11/0.94 tff(formula93, axiom,
% 1.11/0.94 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((k!1582(X1) = $i!val!22) & (k!1583(X0) = $i!val!15)) | ((k!1582(X1) = $i!val!0) & (k!1583(X0) = $i!val!15)) | ((k!1582(X1) = $i!val!1) & (k!1583(X0) = $i!val!15)) | ((k!1582(X1) = $i!val!9) & (k!1583(X0) = $i!val!15)) | ((k!1582(X1) = $i!val!13) & (k!1583(X0) = $i!val!15))))).
% 1.11/0.94 tff(formula94, axiom,
% 1.11/0.94 ![X0: $i] : (ndr1_1(X0) <=> ((k!1582(X0) = $i!val!0) | (k!1582(X0) = $i!val!13) | (k!1582(X0) = $i!val!7) | (k!1582(X0) = $i!val!9) | (k!1582(X0) = $i!val!1) | (k!1582(X0) = $i!val!4) | (k!1582(X0) = $i!val!21) | (k!1582(X0) = $i!val!22) | (k!1582(X0) = $i!val!12) | (k!1582(X0) = $i!val!8)))).
% 1.11/0.94 tff(formula95, axiom,
% 1.11/0.94 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((k!1582(X1) = $i!val!7) & (k!1583(X0) = $i!val!16)) | ((k!1582(X1) = $i!val!13) & (k!1583(X0) = $i!val!16)) | ((k!1582(X1) = $i!val!8) & (k!1583(X0) = $i!val!16)) | ((k!1582(X1) = $i!val!21) & (k!1583(X0) = $i!val!16))))).
% 1.11/0.94 tff(formula96, axiom,
% 1.11/0.94 ![X0: $i] : (ssSkP3(X0) <=> ((k!1582(X0) = $i!val!11) | (k!1582(X0) = $i!val!7) | (k!1582(X0) = $i!val!4) | (k!1582(X0) = $i!val!2) | (k!1582(X0) = $i!val!10) | (k!1582(X0) = $i!val!6) | (k!1582(X0) = $i!val!14) | (k!1582(X0) = $i!val!3) | (k!1582(X0) = $i!val!21) | (k!1582(X0) = $i!val!12) | (k!1582(X0) = $i!val!8)))).
% 1.11/0.94 tff(formula97, axiom,
% 1.11/0.94 ![X0: $i] : (c5_1(X0) <=> (k!1582(X0) = $i!val!1))).
% 1.11/0.94 tff(formula98, axiom,
% 1.11/0.94 ![X0: $i] : (c2_1(X0) <=> (k!1582(X0) = $i!val!1))).
% 1.11/0.94 tff(formula99, axiom,
% 1.11/0.94 ![X0: $i] : (c3_1(X0) <=> (k!1582(X0) = $i!val!1))).
% 1.11/0.94 tff(formula100, axiom,
% 1.11/0.94 ![X0: $i] : (ssSkP1(X0) <=> ((k!1582(X0) = $i!val!11) | (k!1582(X0) = $i!val!0) | (k!1582(X0) = $i!val!9) | (k!1582(X0) = $i!val!2) | (k!1582(X0) = $i!val!10) | (k!1582(X0) = $i!val!6) | (k!1582(X0) = $i!val!14) | (k!1582(X0) = $i!val!3) | (k!1582(X0) = $i!val!21) | (k!1582(X0) = $i!val!8)))).
% 1.11/0.94 tff(formula101, axiom,
% 1.11/0.94 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (((k!1582(X1) = $i!val!13) & (k!1583(X0) = $i!val!17)) | ((k!1582(X1) = $i!val!12) & (k!1583(X0) = $i!val!17)) | ((k!1582(X1) = $i!val!7) & (k!1583(X0) = $i!val!16)) | ((k!1582(X1) = $i!val!22) & (k!1583(X0) = $i!val!17)) | ((k!1582(X1) = $i!val!1) & (k!1583(X0) = $i!val!17)) | ((k!1582(X1) = $i!val!13) & (k!1583(X0) = $i!val!16)) | ((k!1582(X1) = $i!val!4) & (k!1583(X0) = $i!val!17)) | ((k!1582(X1) = $i!val!7) & (k!1583(X0) = $i!val!17)) | ((k!1582(X1) = $i!val!8) & (k!1583(X0) = $i!val!16)) | ((k!1582(X1) = $i!val!21) & (k!1583(X0) = $i!val!16))))).
% 1.11/0.94 tff(formula102, axiom,
% 1.11/0.94 ![X0: $i] : (ssSkP2(X0) <=> ((k!1582(X0) = $i!val!11) | (k!1582(X0) = $i!val!0) | (k!1582(X0) = $i!val!9) | (k!1582(X0) = $i!val!1) | (k!1582(X0) = $i!val!4) | (k!1582(X0) = $i!val!2) | (k!1582(X0) = $i!val!10) | (k!1582(X0) = $i!val!6) | (k!1582(X0) = $i!val!14) | (k!1582(X0) = $i!val!3) | (k!1582(X0) = $i!val!22) | (k!1582(X0) = $i!val!12)))).
% 1.11/0.94 tff(formula103, axiom,
% 1.11/0.94 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> (((k!1582(X1) = $i!val!0) & (k!1583(X0) = $i!val!18)) | ((k!1582(X1) = $i!val!13) & (k!1583(X0) = $i!val!18)) | ((k!1582(X1) = $i!val!4) & (k!1583(X0) = $i!val!18)) | ((k!1582(X1) = $i!val!8) & (k!1583(X0) = $i!val!18)) | ((k!1582(X1) = $i!val!7) & (k!1583(X0) = $i!val!18)) | ((k!1582(X1) = $i!val!22) & (k!1583(X0) = $i!val!18)) | ((k!1582(X1) = $i!val!21) & (k!1583(X0) = $i!val!16))))).
% 1.11/0.94 tff(formula104, axiom,
% 1.11/0.94 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((k!1582(X1) = $i!val!22) & (k!1583(X0) = $i!val!15)) | ((k!1582(X1) = $i!val!0) & (k!1583(X0) = $i!val!15)) | ((k!1582(X1) = $i!val!1) & (k!1583(X0) = $i!val!15)) | ((k!1582(X1) = $i!val!9) & (k!1583(X0) = $i!val!15)) | ((k!1582(X1) = $i!val!13) & (k!1583(X0) = $i!val!15))))).
% 1.11/0.94 % SZS output end Model
%------------------------------------------------------------------------------