TSTP Solution File: SYN432+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN432+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 23:55:20 EDT 2022
% Result : CounterSatisfiable 0.12s 0.41s
% Output : Model 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN432+1 : TPTP v8.1.0. Released v2.1.0.
% 0.10/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n029.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 03:39:01 EDT 2022
% 0.12/0.33 % 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.
% 0.12/0.41 % SZS status CounterSatisfiable
% 0.12/0.41 % SZS output start Model
% 0.12/0.41 tff(tptp_fun__i_val_5_type, type, (
% 0.12/0.41 tptp_fun__i_val_5: $i)).
% 0.12/0.41 tff(a195_type, type, (
% 0.12/0.41 a195: $i)).
% 0.12/0.41 tff(tptp_fun__i_val_19_type, type, (
% 0.12/0.41 tptp_fun__i_val_19: $i)).
% 0.12/0.41 tff(a190_type, type, (
% 0.12/0.41 a190: $i)).
% 0.12/0.41 tff(ndr1_0_type, type, (
% 0.12/0.41 ndr1_0: $o)).
% 0.12/0.41 tff(hskp22_type, type, (
% 0.12/0.41 hskp22: $o)).
% 0.12/0.41 tff(hskp14_type, type, (
% 0.12/0.41 hskp14: $o)).
% 0.12/0.41 tff(tptp_fun__i_val_17_type, type, (
% 0.12/0.41 tptp_fun__i_val_17: $i)).
% 0.12/0.41 tff(a187_type, type, (
% 0.12/0.41 a187: $i)).
% 0.12/0.41 tff(tptp_fun__i_val_13_type, type, (
% 0.12/0.41 tptp_fun__i_val_13: $i)).
% 0.12/0.41 tff(a179_type, type, (
% 0.12/0.41 a179: $i)).
% 0.12/0.41 tff(hskp21_type, type, (
% 0.12/0.41 hskp21: $o)).
% 0.12/0.41 tff(hskp0_type, type, (
% 0.12/0.41 hskp0: $o)).
% 0.12/0.41 tff(hskp26_type, type, (
% 0.12/0.41 hskp26: $o)).
% 0.12/0.41 tff(hskp24_type, type, (
% 0.12/0.41 hskp24: $o)).
% 0.12/0.41 tff(tptp_fun__i_val_8_type, type, (
% 0.12/0.41 tptp_fun__i_val_8: $i)).
% 0.12/0.41 tff(a166_type, type, (
% 0.12/0.41 a166: $i)).
% 0.12/0.41 tff(tptp_fun__i_val_9_type, type, (
% 0.12/0.41 tptp_fun__i_val_9: $i)).
% 0.12/0.41 tff(a171_type, type, (
% 0.12/0.41 a171: $i)).
% 0.12/0.41 tff(tptp_fun__i_val_11_type, type, (
% 0.12/0.41 tptp_fun__i_val_11: $i)).
% 0.12/0.41 tff(a175_type, type, (
% 0.12/0.41 a175: $i)).
% 0.12/0.41 tff(tptp_fun__i_val_4_type, type, (
% 0.12/0.41 tptp_fun__i_val_4: $i)).
% 0.12/0.41 tff(a181_type, type, (
% 0.12/0.41 a181: $i)).
% 0.12/0.41 tff(tptp_fun__i_val_15_type, type, (
% 0.12/0.41 tptp_fun__i_val_15: $i)).
% 0.12/0.41 tff(a184_type, type, (
% 0.12/0.41 a184: $i)).
% 0.12/0.41 tff(tptp_fun__i_val_2_type, type, (
% 0.12/0.41 tptp_fun__i_val_2: $i)).
% 0.12/0.41 tff(a172_type, type, (
% 0.12/0.41 a172: $i)).
% 0.12/0.41 tff(hskp11_type, type, (
% 0.12/0.41 hskp11: $o)).
% 0.12/0.41 tff(hskp12_type, type, (
% 0.12/0.41 hskp12: $o)).
% 0.12/0.41 tff(tptp_fun__i_val_1_type, type, (
% 0.12/0.41 tptp_fun__i_val_1: $i)).
% 0.12/0.41 tff(a169_type, type, (
% 0.12/0.41 a169: $i)).
% 0.12/0.41 tff(tptp_fun__i_val_0_type, type, (
% 0.12/0.41 tptp_fun__i_val_0: $i)).
% 0.12/0.41 tff(a168_type, type, (
% 0.12/0.41 a168: $i)).
% 0.12/0.41 tff(tptp_fun__i_val_16_type, type, (
% 0.12/0.41 tptp_fun__i_val_16: $i)).
% 0.12/0.41 tff(a185_type, type, (
% 0.12/0.41 a185: $i)).
% 0.12/0.41 tff(hskp2_type, type, (
% 0.12/0.41 hskp2: $o)).
% 0.12/0.41 tff(tptp_fun__i_val_3_type, type, (
% 0.12/0.41 tptp_fun__i_val_3: $i)).
% 0.12/0.41 tff(a176_type, type, (
% 0.12/0.41 a176: $i)).
% 0.12/0.41 tff(hskp5_type, type, (
% 0.12/0.41 hskp5: $o)).
% 0.12/0.41 tff(hskp4_type, type, (
% 0.12/0.41 hskp4: $o)).
% 0.12/0.41 tff(hskp15_type, type, (
% 0.12/0.41 hskp15: $o)).
% 0.12/0.41 tff(tptp_fun__i_val_6_type, type, (
% 0.12/0.41 tptp_fun__i_val_6: $i)).
% 0.12/0.41 tff(a162_type, type, (
% 0.12/0.41 a162: $i)).
% 0.12/0.41 tff(hskp3_type, type, (
% 0.12/0.41 hskp3: $o)).
% 0.12/0.41 tff(tptp_fun__i_val_10_type, type, (
% 0.12/0.41 tptp_fun__i_val_10: $i)).
% 0.12/0.41 tff(a174_type, type, (
% 0.12/0.41 a174: $i)).
% 0.12/0.41 tff(tptp_fun__i_val_14_type, type, (
% 0.12/0.41 tptp_fun__i_val_14: $i)).
% 0.12/0.41 tff(a180_type, type, (
% 0.12/0.41 a180: $i)).
% 0.12/0.41 tff(hskp18_type, type, (
% 0.12/0.41 hskp18: $o)).
% 0.12/0.41 tff(hskp8_type, type, (
% 0.12/0.41 hskp8: $o)).
% 0.12/0.41 tff(tptp_fun__i_val_7_type, type, (
% 0.12/0.41 tptp_fun__i_val_7: $i)).
% 0.12/0.41 tff(a163_type, type, (
% 0.12/0.41 a163: $i)).
% 0.12/0.41 tff(tptp_fun__i_val_20_type, type, (
% 0.12/0.41 tptp_fun__i_val_20: $i)).
% 0.12/0.41 tff(a193_type, type, (
% 0.12/0.41 a193: $i)).
% 0.12/0.41 tff(hskp7_type, type, (
% 0.12/0.41 hskp7: $o)).
% 0.12/0.41 tff(tptp_fun__i_val_18_type, type, (
% 0.12/0.41 tptp_fun__i_val_18: $i)).
% 0.12/0.41 tff(a188_type, type, (
% 0.12/0.41 a188: $i)).
% 0.12/0.41 tff(hskp16_type, type, (
% 0.12/0.41 hskp16: $o)).
% 0.12/0.41 tff(tptp_fun__i_val_12_type, type, (
% 0.12/0.41 tptp_fun__i_val_12: $i)).
% 0.12/0.41 tff(a177_type, type, (
% 0.12/0.41 a177: $i)).
% 0.12/0.41 tff(hskp1_type, type, (
% 0.12/0.41 hskp1: $o)).
% 0.12/0.41 tff(hskp13_type, type, (
% 0.12/0.41 hskp13: $o)).
% 0.12/0.41 tff(hskp25_type, type, (
% 0.12/0.41 hskp25: $o)).
% 0.12/0.41 tff(hskp17_type, type, (
% 0.12/0.41 hskp17: $o)).
% 0.12/0.41 tff(hskp9_type, type, (
% 0.12/0.41 hskp9: $o)).
% 0.12/0.41 tff(hskp29_type, type, (
% 0.12/0.41 hskp29: $o)).
% 0.12/0.41 tff(k!0_type, type, (
% 0.12/0.41 k!0: $i > $i)).
% 0.12/0.41 tff(c0_1_type, type, (
% 0.12/0.41 c0_1: $i > $o)).
% 0.12/0.41 tff(c1_1_type, type, (
% 0.12/0.41 c1_1: $i > $o)).
% 0.12/0.41 tff(c3_1_type, type, (
% 0.12/0.41 c3_1: $i > $o)).
% 0.12/0.41 tff(c2_1_type, type, (
% 0.12/0.41 c2_1: $i > $o)).
% 0.12/0.41 tff(formula1, axiom,
% 0.12/0.41 a195 = $i!val!5).
% 0.12/0.41 tff(formula2, axiom,
% 0.12/0.41 a190 = $i!val!19).
% 0.12/0.41 tff(formula3, axiom,
% 0.12/0.41 ndr1_0 <=> $true).
% 0.12/0.41 tff(formula4, axiom,
% 0.12/0.41 hskp22 <=> $false).
% 0.12/0.41 tff(formula5, axiom,
% 0.12/0.41 hskp14 <=> $false).
% 0.12/0.41 tff(formula6, axiom,
% 0.12/0.41 a187 = $i!val!17).
% 0.12/0.41 tff(formula7, axiom,
% 0.12/0.41 a179 = $i!val!13).
% 0.12/0.41 tff(formula8, axiom,
% 0.12/0.41 hskp21 <=> $true).
% 0.12/0.41 tff(formula9, axiom,
% 0.12/0.41 hskp0 <=> $true).
% 0.12/0.41 tff(formula10, axiom,
% 0.12/0.41 hskp26 <=> $true).
% 0.12/0.41 tff(formula11, axiom,
% 0.12/0.41 hskp24 <=> $true).
% 0.12/0.41 tff(formula12, axiom,
% 0.12/0.41 a166 = $i!val!8).
% 0.12/0.41 tff(formula13, axiom,
% 0.12/0.41 a171 = $i!val!9).
% 0.12/0.41 tff(formula14, axiom,
% 0.12/0.41 a175 = $i!val!11).
% 0.12/0.41 tff(formula15, axiom,
% 0.12/0.41 a181 = $i!val!4).
% 0.12/0.41 tff(formula16, axiom,
% 0.19/0.41 a184 = $i!val!15).
% 0.19/0.41 tff(formula17, axiom,
% 0.19/0.41 a172 = $i!val!2).
% 0.19/0.41 tff(formula18, axiom,
% 0.19/0.41 hskp11 <=> $true).
% 0.19/0.41 tff(formula19, axiom,
% 0.19/0.41 hskp12 <=> $false).
% 0.19/0.41 tff(formula20, axiom,
% 0.19/0.41 a169 = $i!val!1).
% 0.19/0.41 tff(formula21, axiom,
% 0.19/0.41 a168 = $i!val!0).
% 0.19/0.41 tff(formula22, axiom,
% 0.19/0.41 a185 = $i!val!16).
% 0.19/0.41 tff(formula23, axiom,
% 0.19/0.41 hskp2 <=> $true).
% 0.19/0.41 tff(formula24, axiom,
% 0.19/0.41 a176 = $i!val!3).
% 0.19/0.41 tff(formula25, axiom,
% 0.19/0.41 hskp5 <=> $false).
% 0.19/0.41 tff(formula26, axiom,
% 0.19/0.41 hskp4 <=> $true).
% 0.19/0.41 tff(formula27, axiom,
% 0.19/0.41 hskp15 <=> $false).
% 0.19/0.41 tff(formula28, axiom,
% 0.19/0.41 a162 = $i!val!6).
% 0.19/0.41 tff(formula29, axiom,
% 0.19/0.41 hskp3 <=> $false).
% 0.19/0.41 tff(formula30, axiom,
% 0.19/0.41 a174 = $i!val!10).
% 0.19/0.41 tff(formula31, axiom,
% 0.19/0.41 a180 = $i!val!14).
% 0.19/0.41 tff(formula32, axiom,
% 0.19/0.41 hskp18 <=> $true).
% 0.19/0.41 tff(formula33, axiom,
% 0.19/0.41 hskp8 <=> $false).
% 0.19/0.41 tff(formula34, axiom,
% 0.19/0.41 a163 = $i!val!7).
% 0.19/0.41 tff(formula35, axiom,
% 0.19/0.41 a193 = $i!val!20).
% 0.19/0.41 tff(formula36, axiom,
% 0.19/0.41 hskp7 <=> $false).
% 0.19/0.41 tff(formula37, axiom,
% 0.19/0.41 a188 = $i!val!18).
% 0.19/0.41 tff(formula38, axiom,
% 0.19/0.41 hskp16 <=> $false).
% 0.19/0.41 tff(formula39, axiom,
% 0.19/0.41 a177 = $i!val!12).
% 0.19/0.41 tff(formula40, axiom,
% 0.19/0.41 hskp1 <=> $true).
% 0.19/0.41 tff(formula41, axiom,
% 0.19/0.41 hskp13 <=> $true).
% 0.19/0.41 tff(formula42, axiom,
% 0.19/0.41 hskp25 <=> $false).
% 0.19/0.41 tff(formula43, axiom,
% 0.19/0.41 hskp17 <=> $true).
% 0.19/0.41 tff(formula44, axiom,
% 0.19/0.41 hskp9 <=> $true).
% 0.19/0.41 tff(formula45, axiom,
% 0.19/0.41 hskp29 <=> $true).
% 0.19/0.41 tff(formula46, axiom,
% 0.19/0.41 k!0($i!val!16) = $i!val!16).
% 0.19/0.41 tff(formula47, axiom,
% 0.19/0.41 k!0($i!val!19) = $i!val!19).
% 0.19/0.41 tff(formula48, axiom,
% 0.19/0.41 k!0($i!val!6) = $i!val!6).
% 0.19/0.41 tff(formula49, axiom,
% 0.19/0.41 k!0($i!val!17) = $i!val!17).
% 0.19/0.41 tff(formula50, axiom,
% 0.19/0.41 k!0($i!val!10) = $i!val!10).
% 0.19/0.41 tff(formula51, axiom,
% 0.19/0.41 k!0($i!val!14) = $i!val!14).
% 0.19/0.41 tff(formula52, axiom,
% 0.19/0.41 k!0($i!val!7) = $i!val!7).
% 0.19/0.41 tff(formula53, axiom,
% 0.19/0.41 k!0($i!val!13) = $i!val!13).
% 0.19/0.41 tff(formula54, axiom,
% 0.19/0.41 k!0($i!val!20) = $i!val!20).
% 0.19/0.41 tff(formula55, axiom,
% 0.19/0.41 k!0($i!val!8) = $i!val!8).
% 0.19/0.41 tff(formula56, axiom,
% 0.19/0.41 k!0($i!val!11) = $i!val!11).
% 0.19/0.41 tff(formula57, axiom,
% 0.19/0.41 k!0($i!val!18) = $i!val!18).
% 0.19/0.41 tff(formula58, axiom,
% 0.19/0.41 k!0($i!val!12) = $i!val!12).
% 0.19/0.41 tff(formula59, axiom,
% 0.19/0.41 k!0($i!val!9) = $i!val!9).
% 0.19/0.41 tff(formula60, axiom,
% 0.19/0.41 k!0($i!val!4) = $i!val!4).
% 0.19/0.41 tff(formula61, axiom,
% 0.19/0.41 k!0($i!val!2) = $i!val!2).
% 0.19/0.41 tff(formula62, axiom,
% 0.19/0.41 k!0($i!val!1) = $i!val!1).
% 0.19/0.41 tff(formula63, axiom,
% 0.19/0.41 k!0($i!val!3) = $i!val!3).
% 0.19/0.41 tff(formula64, axiom,
% 0.19/0.41 k!0($i!val!15) = $i!val!15).
% 0.19/0.41 tff(formula65, axiom,
% 0.19/0.41 k!0($i!val!0) = $i!val!0).
% 0.19/0.41 tff(formula66, axiom,
% 0.19/0.41 ![X0: $i] : ((~((($i!val!16 = X0)) | (($i!val!19 = X0)) | (($i!val!6 = X0)) | (($i!val!17 = X0)) | (($i!val!10 = X0)) | (($i!val!14 = X0)) | (($i!val!7 = X0)) | (($i!val!13 = X0)) | (($i!val!20 = X0)) | (($i!val!8 = X0)) | (($i!val!11 = X0)) | (($i!val!18 = X0)) | (($i!val!12 = X0)) | (($i!val!9 = X0)) | (($i!val!4 = X0)) | (($i!val!2 = X0)) | (($i!val!1 = X0)) | (($i!val!3 = X0)) | (($i!val!15 = X0)) | (($i!val!0 = X0)))) => (k!0(X0) = $i!val!5))).
% 0.19/0.41 tff(formula67, axiom,
% 0.19/0.41 c0_1($i!val!0) <=> $false).
% 0.19/0.41 tff(formula68, axiom,
% 0.19/0.41 c0_1($i!val!1) <=> $false).
% 0.19/0.41 tff(formula69, axiom,
% 0.19/0.41 c0_1($i!val!3) <=> $false).
% 0.19/0.41 tff(formula70, axiom,
% 0.19/0.41 c0_1($i!val!6) <=> $false).
% 0.19/0.41 tff(formula71, axiom,
% 0.19/0.41 c0_1($i!val!12) <=> $false).
% 0.19/0.41 tff(formula72, axiom,
% 0.19/0.41 ![X0: $i] : ((~((($i!val!0 = X0)) | (($i!val!1 = X0)) | (($i!val!3 = X0)) | (($i!val!6 = X0)) | (($i!val!12 = X0)))) => (c0_1(X0) <=> $true))).
% 0.19/0.41 tff(formula73, axiom,
% 0.19/0.41 ![X0: $i] : (c1_1(X0) <=> ((k!0(X0) = $i!val!8) | (k!0(X0) = $i!val!12) | (k!0(X0) = $i!val!18) | (k!0(X0) = $i!val!11) | (k!0(X0) = $i!val!15) | (k!0(X0) = $i!val!16)))).
% 0.19/0.41 tff(formula74, axiom,
% 0.19/0.41 ![X0: $i] : (c3_1(X0) <=> ((k!0(X0) = $i!val!8) | (k!0(X0) = $i!val!12) | (k!0(X0) = $i!val!4) | (k!0(X0) = $i!val!14) | (k!0(X0) = $i!val!17) | (k!0(X0) = $i!val!0) | (k!0(X0) = $i!val!2) | (k!0(X0) = $i!val!7) | (k!0(X0) = $i!val!1) | (k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!13) | (k!0(X0) = $i!val!20) | (k!0(X0) = $i!val!18) | (k!0(X0) = $i!val!11) | (k!0(X0) = $i!val!15) | (k!0(X0) = $i!val!16)))).
% 0.19/0.41 tff(formula75, axiom,
% 0.19/0.41 ![X0: $i] : (c2_1(X0) <=> ((k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!9) | (k!0(X0) = $i!val!10) | (k!0(X0) = $i!val!19) | (k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!13) | (k!0(X0) = $i!val!20) | (k!0(X0) = $i!val!6) | (k!0(X0) = $i!val!11) | (k!0(X0) = $i!val!15)))).
% 0.19/0.41 % SZS output end Model
%------------------------------------------------------------------------------