TSTP Solution File: SYN522-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN522-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n005.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 23:56:10 EDT 2022
% Result : Satisfiable 0.63s 0.64s
% Output : Model 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN522-1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n005.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 05:05:03 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.33 Usage: tptp [options] [-file:]file
% 0.13/0.33 -h, -? prints this message.
% 0.13/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.33 -m, -model generate model.
% 0.13/0.33 -p, -proof generate proof.
% 0.13/0.33 -c, -core generate unsat core of named formulas.
% 0.13/0.33 -st, -statistics display statistics.
% 0.13/0.33 -t:timeout set timeout (in second).
% 0.13/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.33 -<param>:<value> configuration parameter and value.
% 0.13/0.33 -o:<output-file> file to place output in.
% 0.63/0.64 % SZS status Satisfiable
% 0.63/0.64 % SZS output start Model
% 0.63/0.64 tff(c3_0_type, type, (
% 0.63/0.64 c3_0: $o)).
% 0.63/0.64 tff(ssSkC4_type, type, (
% 0.63/0.64 ssSkC4: $o)).
% 0.63/0.64 tff(tptp_fun__i_val_9_type, type, (
% 0.63/0.64 tptp_fun__i_val_9: $i)).
% 0.63/0.64 tff(a129_type, type, (
% 0.63/0.64 a129: $i)).
% 0.63/0.64 tff(ndr1_0_type, type, (
% 0.63/0.64 ndr1_0: $o)).
% 0.63/0.64 tff(tptp_fun__i_val_3_type, type, (
% 0.63/0.64 tptp_fun__i_val_3: $i)).
% 0.63/0.64 tff(a109_type, type, (
% 0.63/0.64 a109: $i)).
% 0.63/0.64 tff(ssSkC6_type, type, (
% 0.63/0.64 ssSkC6: $o)).
% 0.63/0.64 tff(tptp_fun__i_val_7_type, type, (
% 0.63/0.64 tptp_fun__i_val_7: $i)).
% 0.63/0.64 tff(a108_type, type, (
% 0.63/0.64 a108: $i)).
% 0.63/0.64 tff(ssSkC2_type, type, (
% 0.63/0.64 ssSkC2: $o)).
% 0.63/0.64 tff(tptp_fun__i_val_22_type, type, (
% 0.63/0.64 tptp_fun__i_val_22: $i)).
% 0.63/0.64 tff(a111_type, type, (
% 0.63/0.64 a111: $i)).
% 0.63/0.64 tff(ssSkC3_type, type, (
% 0.63/0.64 ssSkC3: $o)).
% 0.63/0.64 tff(ssSkC0_type, type, (
% 0.63/0.64 ssSkC0: $o)).
% 0.63/0.64 tff(tptp_fun__i_val_16_type, type, (
% 0.63/0.64 tptp_fun__i_val_16: $i)).
% 0.63/0.64 tff(a104_type, type, (
% 0.63/0.64 a104: $i)).
% 0.63/0.64 tff(tptp_fun__i_val_11_type, type, (
% 0.63/0.64 tptp_fun__i_val_11: $i)).
% 0.63/0.64 tff(a133_type, type, (
% 0.63/0.64 a133: $i)).
% 0.63/0.64 tff(tptp_fun__i_val_13_type, type, (
% 0.63/0.64 tptp_fun__i_val_13: $i)).
% 0.63/0.64 tff(a119_type, type, (
% 0.63/0.64 a119: $i)).
% 0.63/0.64 tff(tptp_fun__i_val_8_type, type, (
% 0.63/0.64 tptp_fun__i_val_8: $i)).
% 0.63/0.64 tff(a134_type, type, (
% 0.63/0.64 a134: $i)).
% 0.63/0.64 tff(a140_type, type, (
% 0.63/0.64 a140: $i)).
% 0.63/0.64 tff(tptp_fun__i_val_6_type, type, (
% 0.63/0.64 tptp_fun__i_val_6: $i)).
% 0.63/0.64 tff(a114_type, type, (
% 0.63/0.64 a114: $i)).
% 0.63/0.64 tff(tptp_fun__i_val_17_type, type, (
% 0.63/0.64 tptp_fun__i_val_17: $i)).
% 0.63/0.64 tff(a131_type, type, (
% 0.63/0.64 a131: $i)).
% 0.63/0.64 tff(tptp_fun__i_val_15_type, type, (
% 0.63/0.64 tptp_fun__i_val_15: $i)).
% 0.63/0.64 tff(a115_type, type, (
% 0.63/0.64 a115: $i)).
% 0.63/0.64 tff(tptp_fun__i_val_18_type, type, (
% 0.63/0.64 tptp_fun__i_val_18: $i)).
% 0.63/0.64 tff(a120_type, type, (
% 0.63/0.64 a120: $i)).
% 0.63/0.64 tff(a117_type, type, (
% 0.63/0.64 a117: $i)).
% 0.63/0.64 tff(c1_0_type, type, (
% 0.63/0.64 c1_0: $o)).
% 0.63/0.64 tff(tptp_fun__i_val_5_type, type, (
% 0.63/0.64 tptp_fun__i_val_5: $i)).
% 0.63/0.64 tff(a121_type, type, (
% 0.63/0.64 a121: $i)).
% 0.63/0.64 tff(c2_0_type, type, (
% 0.63/0.64 c2_0: $o)).
% 0.63/0.64 tff(ssSkC5_type, type, (
% 0.63/0.64 ssSkC5: $o)).
% 0.63/0.64 tff(tptp_fun__i_val_2_type, type, (
% 0.63/0.64 tptp_fun__i_val_2: $i)).
% 0.63/0.64 tff(a125_type, type, (
% 0.63/0.64 a125: $i)).
% 0.63/0.64 tff(tptp_fun__i_val_20_type, type, (
% 0.63/0.64 tptp_fun__i_val_20: $i)).
% 0.63/0.64 tff(a105_type, type, (
% 0.63/0.64 a105: $i)).
% 0.63/0.64 tff(tptp_fun__i_val_10_type, type, (
% 0.63/0.64 tptp_fun__i_val_10: $i)).
% 0.63/0.64 tff(a126_type, type, (
% 0.63/0.64 a126: $i)).
% 0.63/0.64 tff(ssSkC1_type, type, (
% 0.63/0.64 ssSkC1: $o)).
% 0.63/0.64 tff(ssSkC7_type, type, (
% 0.63/0.64 ssSkC7: $o)).
% 0.63/0.64 tff(tptp_fun__i_val_1_type, type, (
% 0.63/0.64 tptp_fun__i_val_1: $i)).
% 0.63/0.64 tff(a128_type, type, (
% 0.63/0.64 a128: $i)).
% 0.63/0.64 tff(tptp_fun__i_val_14_type, type, (
% 0.63/0.64 tptp_fun__i_val_14: $i)).
% 0.63/0.64 tff(a116_type, type, (
% 0.63/0.64 a116: $i)).
% 0.63/0.64 tff(tptp_fun__i_val_21_type, type, (
% 0.63/0.64 tptp_fun__i_val_21: $i)).
% 0.63/0.64 tff(a139_type, type, (
% 0.63/0.64 a139: $i)).
% 0.63/0.64 tff(a130_type, type, (
% 0.63/0.64 a130: $i)).
% 0.63/0.64 tff(a112_type, type, (
% 0.63/0.64 a112: $i)).
% 0.63/0.64 tff(a138_type, type, (
% 0.63/0.64 a138: $i)).
% 0.63/0.64 tff(tptp_fun__i_val_19_type, type, (
% 0.63/0.64 tptp_fun__i_val_19: $i)).
% 0.63/0.64 tff(a110_type, type, (
% 0.63/0.64 a110: $i)).
% 0.63/0.64 tff(a132_type, type, (
% 0.63/0.64 a132: $i)).
% 0.63/0.64 tff(tptp_fun__i_val_0_type, type, (
% 0.63/0.64 tptp_fun__i_val_0: $i)).
% 0.63/0.64 tff(a118_type, type, (
% 0.63/0.64 a118: $i)).
% 0.63/0.64 tff(tptp_fun__i_val_12_type, type, (
% 0.63/0.64 tptp_fun__i_val_12: $i)).
% 0.63/0.64 tff(a127_type, type, (
% 0.63/0.64 a127: $i)).
% 0.63/0.64 tff(c5_0_type, type, (
% 0.63/0.64 c5_0: $o)).
% 0.63/0.64 tff(tptp_fun__i_val_4_type, type, (
% 0.63/0.64 tptp_fun__i_val_4: $i)).
% 0.63/0.64 tff(a106_type, type, (
% 0.63/0.64 a106: $i)).
% 0.63/0.64 tff(c4_0_type, type, (
% 0.63/0.64 c4_0: $o)).
% 0.63/0.64 tff(k!666_type, type, (
% 0.63/0.64 k!666: $i > $i)).
% 0.63/0.64 tff(c4_1_type, type, (
% 0.63/0.64 c4_1: $i > $o)).
% 0.63/0.64 tff(k!667_type, type, (
% 0.63/0.64 k!667: $i > $i)).
% 0.63/0.64 tff(c1_1_type, type, (
% 0.63/0.64 c1_1: $i > $o)).
% 0.63/0.64 tff(ssSkP0_type, type, (
% 0.63/0.64 ssSkP0: $i > $o)).
% 0.63/0.64 tff(c4_2_type, type, (
% 0.63/0.64 c4_2: ( $i * $i ) > $o)).
% 0.63/0.64 tff(ndr1_1_type, type, (
% 0.63/0.64 ndr1_1: $i > $o)).
% 0.63/0.64 tff(c5_2_type, type, (
% 0.63/0.64 c5_2: ( $i * $i ) > $o)).
% 0.63/0.64 tff(ssSkP3_type, type, (
% 0.63/0.64 ssSkP3: $i > $o)).
% 0.63/0.64 tff(c5_1_type, type, (
% 0.63/0.64 c5_1: $i > $o)).
% 0.63/0.64 tff(c2_1_type, type, (
% 0.63/0.64 c2_1: $i > $o)).
% 0.63/0.64 tff(c3_1_type, type, (
% 0.63/0.64 c3_1: $i > $o)).
% 0.63/0.64 tff(c3_2_type, type, (
% 0.63/0.64 c3_2: ( $i * $i ) > $o)).
% 0.63/0.64 tff(ssSkP1_type, type, (
% 0.63/0.64 ssSkP1: $i > $o)).
% 0.63/0.64 tff(ssSkP2_type, type, (
% 0.63/0.64 ssSkP2: $i > $o)).
% 0.63/0.64 tff(c2_2_type, type, (
% 0.63/0.64 c2_2: ( $i * $i ) > $o)).
% 0.63/0.64 tff(c1_2_type, type, (
% 0.63/0.64 c1_2: ( $i * $i ) > $o)).
% 0.63/0.64 tff(ssSkP4_type, type, (
% 0.63/0.64 ssSkP4: $i > $o)).
% 0.63/0.64 tff(formula1, axiom,
% 0.63/0.64 c3_0 <=> $false).
% 0.63/0.64 tff(formula2, axiom,
% 0.63/0.64 ssSkC4 <=> $false).
% 0.63/0.64 tff(formula3, axiom,
% 0.63/0.64 a129 = $i!val!9).
% 0.63/0.64 tff(formula4, axiom,
% 0.63/0.64 ndr1_0 <=> $true).
% 0.63/0.64 tff(formula5, axiom,
% 0.63/0.64 a109 = $i!val!3).
% 0.63/0.64 tff(formula6, axiom,
% 0.63/0.64 ssSkC6 <=> $false).
% 0.63/0.64 tff(formula7, axiom,
% 0.63/0.64 a108 = $i!val!7).
% 0.63/0.64 tff(formula8, axiom,
% 0.63/0.64 ssSkC2 <=> $false).
% 0.63/0.64 tff(formula9, axiom,
% 0.63/0.64 a111 = $i!val!22).
% 0.63/0.64 tff(formula10, axiom,
% 0.63/0.64 ssSkC3 <=> $false).
% 0.63/0.64 tff(formula11, axiom,
% 0.63/0.64 ssSkC0 <=> $false).
% 0.63/0.64 tff(formula12, axiom,
% 0.63/0.64 a104 = $i!val!16).
% 0.63/0.64 tff(formula13, axiom,
% 0.63/0.64 a133 = $i!val!11).
% 0.63/0.64 tff(formula14, axiom,
% 0.63/0.64 a119 = $i!val!13).
% 0.63/0.64 tff(formula15, axiom,
% 0.63/0.64 a134 = $i!val!8).
% 0.63/0.64 tff(formula16, axiom,
% 0.63/0.64 a140 = $i!val!16).
% 0.63/0.64 tff(formula17, axiom,
% 0.63/0.64 a114 = $i!val!6).
% 0.63/0.64 tff(formula18, axiom,
% 0.63/0.64 a131 = $i!val!17).
% 0.63/0.64 tff(formula19, axiom,
% 0.63/0.64 a115 = $i!val!15).
% 0.63/0.64 tff(formula20, axiom,
% 0.63/0.64 a120 = $i!val!18).
% 0.63/0.64 tff(formula21, axiom,
% 0.63/0.64 a117 = $i!val!16).
% 0.63/0.64 tff(formula22, axiom,
% 0.63/0.64 c1_0 <=> $false).
% 0.63/0.64 tff(formula23, axiom,
% 0.63/0.64 a121 = $i!val!5).
% 0.63/0.64 tff(formula24, axiom,
% 0.63/0.64 c2_0 <=> $false).
% 0.63/0.64 tff(formula25, axiom,
% 0.63/0.64 ssSkC5 <=> $false).
% 0.63/0.64 tff(formula26, axiom,
% 0.63/0.64 a125 = $i!val!2).
% 0.63/0.64 tff(formula27, axiom,
% 0.63/0.64 a105 = $i!val!20).
% 0.63/0.64 tff(formula28, axiom,
% 0.63/0.64 a126 = $i!val!10).
% 0.63/0.64 tff(formula29, axiom,
% 0.63/0.64 ssSkC1 <=> $true).
% 0.63/0.64 tff(formula30, axiom,
% 0.63/0.64 ssSkC7 <=> $false).
% 0.63/0.64 tff(formula31, axiom,
% 0.63/0.64 a128 = $i!val!1).
% 0.63/0.64 tff(formula32, axiom,
% 0.63/0.64 a116 = $i!val!14).
% 0.63/0.64 tff(formula33, axiom,
% 0.63/0.64 a139 = $i!val!21).
% 0.63/0.64 tff(formula34, axiom,
% 0.63/0.64 a130 = $i!val!16).
% 0.63/0.64 tff(formula35, axiom,
% 0.63/0.64 a112 = $i!val!16).
% 0.63/0.64 tff(formula36, axiom,
% 0.63/0.64 a138 = $i!val!16).
% 0.63/0.64 tff(formula37, axiom,
% 0.63/0.64 a110 = $i!val!19).
% 0.63/0.64 tff(formula38, axiom,
% 0.63/0.64 a132 = $i!val!16).
% 0.63/0.64 tff(formula39, axiom,
% 0.63/0.64 a118 = $i!val!0).
% 0.63/0.64 tff(formula40, axiom,
% 0.63/0.64 a127 = $i!val!12).
% 0.63/0.64 tff(formula41, axiom,
% 0.63/0.64 c5_0 <=> $false).
% 0.63/0.64 tff(formula42, axiom,
% 0.63/0.64 a106 = $i!val!4).
% 0.63/0.64 tff(formula43, axiom,
% 0.63/0.64 c4_0 <=> $true).
% 0.63/0.64 tff(formula44, axiom,
% 0.63/0.64 ![X0: $i] : (c4_1(X0) <=> ((k!666(X0) = $i!val!3) | (k!666(X0) = $i!val!1) | (k!666(X0) = $i!val!19) | (k!666(X0) = $i!val!5) | (k!666(X0) = $i!val!4) | (k!666(X0) = $i!val!8)))).
% 0.63/0.64 tff(formula45, axiom,
% 0.63/0.64 k!667($i!val!10) = $i!val!10).
% 0.63/0.64 tff(formula46, axiom,
% 0.63/0.64 k!667($i!val!16) = $i!val!16).
% 0.63/0.64 tff(formula47, axiom,
% 0.63/0.64 k!667($i!val!9) = $i!val!9).
% 0.63/0.64 tff(formula48, axiom,
% 0.63/0.64 k!667($i!val!22) = $i!val!22).
% 0.63/0.64 tff(formula49, axiom,
% 0.63/0.64 k!667($i!val!14) = $i!val!14).
% 0.63/0.64 tff(formula50, axiom,
% 0.63/0.64 k!667($i!val!12) = $i!val!12).
% 0.63/0.64 tff(formula51, axiom,
% 0.63/0.64 k!667($i!val!20) = $i!val!20).
% 0.63/0.64 tff(formula52, axiom,
% 0.63/0.64 k!667($i!val!18) = $i!val!18).
% 0.63/0.64 tff(formula53, axiom,
% 0.63/0.64 k!667($i!val!15) = $i!val!15).
% 0.63/0.64 tff(formula54, axiom,
% 0.63/0.64 k!667($i!val!17) = $i!val!17).
% 0.63/0.64 tff(formula55, axiom,
% 0.63/0.64 ![X0: $i] : ((~((($i!val!10 = X0)) | (($i!val!16 = X0)) | (($i!val!9 = X0)) | (($i!val!22 = X0)) | (($i!val!14 = X0)) | (($i!val!12 = X0)) | (($i!val!20 = X0)) | (($i!val!18 = X0)) | (($i!val!15 = X0)) | (($i!val!17 = X0)))) => (k!667(X0) = $i!val!13))).
% 0.63/0.64 tff(formula56, axiom,
% 0.63/0.64 ![X0: $i] : (c1_1(X0) <=> (X0 = $i!val!0))).
% 0.63/0.64 tff(formula57, axiom,
% 0.63/0.64 k!666($i!val!1) = $i!val!1).
% 0.63/0.64 tff(formula58, axiom,
% 0.63/0.64 k!666($i!val!21) = $i!val!21).
% 0.63/0.64 tff(formula59, axiom,
% 0.63/0.64 k!666($i!val!5) = $i!val!5).
% 0.63/0.64 tff(formula60, axiom,
% 0.63/0.64 k!666($i!val!3) = $i!val!3).
% 0.63/0.64 tff(formula61, axiom,
% 0.63/0.64 k!666($i!val!7) = $i!val!7).
% 0.63/0.64 tff(formula62, axiom,
% 0.63/0.64 k!666($i!val!19) = $i!val!19).
% 0.63/0.64 tff(formula63, axiom,
% 0.63/0.64 k!666($i!val!2) = $i!val!2).
% 0.63/0.64 tff(formula64, axiom,
% 0.63/0.64 k!666($i!val!0) = $i!val!0).
% 0.63/0.64 tff(formula65, axiom,
% 0.63/0.64 k!666($i!val!4) = $i!val!4).
% 0.63/0.64 tff(formula66, axiom,
% 0.63/0.64 k!666($i!val!11) = $i!val!11).
% 0.63/0.64 tff(formula67, axiom,
% 0.63/0.64 ![X0: $i] : ((~((($i!val!1 = X0)) | (($i!val!21 = X0)) | (($i!val!5 = X0)) | (($i!val!3 = X0)) | (($i!val!7 = X0)) | (($i!val!19 = X0)) | (($i!val!2 = X0)) | (($i!val!0 = X0)) | (($i!val!4 = X0)) | (($i!val!11 = X0)))) => (k!666(X0) = $i!val!8))).
% 0.63/0.64 tff(formula68, axiom,
% 0.63/0.64 ![X0: $i] : (ssSkP0(X0) <=> ((k!666(X0) = $i!val!3) | (k!666(X0) = $i!val!1) | (k!666(X0) = $i!val!19) | (k!666(X0) = $i!val!5) | (k!666(X0) = $i!val!21) | (k!666(X0) = $i!val!4) | (k!666(X0) = $i!val!8)))).
% 0.63/0.64 tff(formula69, axiom,
% 0.63/0.65 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((k!666(X1) = $i!val!11) & (k!667(X0) = $i!val!13)) | ((k!666(X1) = $i!val!0) & (k!667(X0) = $i!val!16)) | ((k!666(X1) = $i!val!11) & (k!667(X0) = $i!val!16)) | ((k!666(X1) = $i!val!7) & (k!667(X0) = $i!val!13)) | ((k!666(X1) = $i!val!2) & (k!667(X0) = $i!val!13)) | ((k!666(X1) = $i!val!2) & (k!667(X0) = $i!val!16)) | ((k!666(X1) = $i!val!0) & (k!667(X0) = $i!val!13)) | ((k!666(X1) = $i!val!7) & (k!667(X0) = $i!val!16)) | ((k!666(X1) = $i!val!1) & (k!667(X0) = $i!val!9))))).
% 0.63/0.65 tff(formula70, axiom,
% 0.63/0.65 ![X0: $i] : (ndr1_1(X0) <=> ((k!666(X0) = $i!val!2) | (k!666(X0) = $i!val!0) | (k!666(X0) = $i!val!7) | (k!666(X0) = $i!val!11) | (k!666(X0) = $i!val!1) | (k!666(X0) = $i!val!21)))).
% 0.63/0.65 tff(formula71, axiom,
% 0.63/0.65 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((k!666(X1) = $i!val!1) & (k!667(X0) = $i!val!22)) | ((k!666(X1) = $i!val!21) & (k!667(X0) = $i!val!18)) | ((k!666(X1) = $i!val!1) & (k!667(X0) = $i!val!14)) | ((k!666(X1) = $i!val!21) & (k!667(X0) = $i!val!15)) | ((k!666(X1) = $i!val!11) & (k!667(X0) = $i!val!15)) | ((k!666(X1) = $i!val!11) & (k!667(X0) = $i!val!14)) | ((k!666(X1) = $i!val!21) & (k!667(X0) = $i!val!14)) | ((k!666(X1) = $i!val!2) & (k!667(X0) = $i!val!14))))).
% 0.63/0.65 tff(formula72, axiom,
% 0.63/0.65 ![X0: $i] : (ssSkP3(X0) <=> ((k!666(X0) = $i!val!3) | (k!666(X0) = $i!val!1) | (k!666(X0) = $i!val!19) | (k!666(X0) = $i!val!5) | (k!666(X0) = $i!val!21) | (k!666(X0) = $i!val!4) | (k!666(X0) = $i!val!8)))).
% 0.63/0.65 tff(formula73, axiom,
% 0.63/0.65 ![X0: $i] : (c5_1(X0) <=> ((k!666(X0) = $i!val!0) | (k!666(X0) = $i!val!3) | (k!666(X0) = $i!val!19) | (k!666(X0) = $i!val!5) | (k!666(X0) = $i!val!4) | (k!666(X0) = $i!val!8)))).
% 0.63/0.65 tff(formula74, axiom,
% 0.63/0.65 ![X0: $i] : (c2_1(X0) <=> $false)).
% 0.63/0.65 tff(formula75, axiom,
% 0.63/0.65 ![X0: $i] : (c3_1(X0) <=> ((k!666(X0) = $i!val!3) | (k!666(X0) = $i!val!1)))).
% 0.63/0.65 tff(formula76, axiom,
% 0.63/0.65 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (((k!666(X1) = $i!val!0) & (k!667(X0) = $i!val!16)) | ((k!666(X1) = $i!val!11) & (k!667(X0) = $i!val!16)) | ((k!666(X1) = $i!val!2) & (k!667(X0) = $i!val!16)) | ((k!666(X1) = $i!val!7) & (k!667(X0) = $i!val!16))))).
% 0.63/0.65 tff(formula77, axiom,
% 0.63/0.65 ![X0: $i] : (ssSkP1(X0) <=> ((k!666(X0) = $i!val!2) | (k!666(X0) = $i!val!0) | (k!666(X0) = $i!val!7) | (k!666(X0) = $i!val!3) | (k!666(X0) = $i!val!1) | (k!666(X0) = $i!val!19) | (k!666(X0) = $i!val!5) | (k!666(X0) = $i!val!4) | (k!666(X0) = $i!val!8)))).
% 0.63/0.65 tff(formula78, axiom,
% 0.63/0.65 ![X0: $i] : (ssSkP2(X0) <=> ((k!666(X0) = $i!val!0) | (k!666(X0) = $i!val!7) | (k!666(X0) = $i!val!3) | (k!666(X0) = $i!val!19) | (k!666(X0) = $i!val!5) | (k!666(X0) = $i!val!4) | (k!666(X0) = $i!val!8)))).
% 0.63/0.65 tff(formula79, axiom,
% 0.63/0.65 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> (((k!666(X1) = $i!val!21) & (k!667(X0) = $i!val!20)) | ((k!666(X1) = $i!val!1) & (k!667(X0) = $i!val!20)) | ((k!666(X1) = $i!val!1) & (k!667(X0) = $i!val!9)) | ((k!666(X1) = $i!val!1) & (k!667(X0) = $i!val!22)) | ((k!666(X1) = $i!val!21) & (k!667(X0) = $i!val!18)) | ((k!666(X1) = $i!val!21) & (k!667(X0) = $i!val!15)) | ((k!666(X1) = $i!val!11) & (k!667(X0) = $i!val!15))))).
% 0.63/0.65 tff(formula80, axiom,
% 0.63/0.65 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((k!666(X1) = $i!val!2) & (k!667(X0) = $i!val!10)) | ((k!666(X1) = $i!val!1) & (k!667(X0) = $i!val!14)) | ((k!666(X1) = $i!val!11) & (k!667(X0) = $i!val!14)) | ((k!666(X1) = $i!val!21) & (k!667(X0) = $i!val!14)) | ((k!666(X1) = $i!val!2) & (k!667(X0) = $i!val!14))))).
% 0.63/0.65 tff(formula81, axiom,
% 0.63/0.65 ![X0: $i] : (ssSkP4(X0) <=> ((k!666(X0) = $i!val!3) | (k!666(X0) = $i!val!19) | (k!666(X0) = $i!val!5) | (k!666(X0) = $i!val!4) | (k!666(X0) = $i!val!8)))).
% 0.63/0.65 % SZS output end Model
%------------------------------------------------------------------------------