TSTP Solution File: SYN431+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN431+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n024.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 0.19s 0.40s
% Output : Model 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN431+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n024.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 03:30:03 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.
% 0.19/0.40 % SZS status CounterSatisfiable
% 0.19/0.40 % SZS output start Model
% 0.19/0.40 tff(hskp10_type, type, (
% 0.19/0.40 hskp10: $o)).
% 0.19/0.40 tff(ndr1_0_type, type, (
% 0.19/0.40 ndr1_0: $o)).
% 0.19/0.40 tff(tptp_fun__i_val_15_type, type, (
% 0.19/0.40 tptp_fun__i_val_15: $i)).
% 0.19/0.40 tff(a147_type, type, (
% 0.19/0.40 a147: $i)).
% 0.19/0.40 tff(tptp_fun__i_val_19_type, type, (
% 0.19/0.40 tptp_fun__i_val_19: $i)).
% 0.19/0.40 tff(a158_type, type, (
% 0.19/0.40 a158: $i)).
% 0.19/0.40 tff(hskp22_type, type, (
% 0.19/0.40 hskp22: $o)).
% 0.19/0.40 tff(hskp14_type, type, (
% 0.19/0.40 hskp14: $o)).
% 0.19/0.40 tff(hskp23_type, type, (
% 0.19/0.40 hskp23: $o)).
% 0.19/0.40 tff(hskp28_type, type, (
% 0.19/0.40 hskp28: $o)).
% 0.19/0.40 tff(tptp_fun__i_val_7_type, type, (
% 0.19/0.40 tptp_fun__i_val_7: $i)).
% 0.19/0.40 tff(a146_type, type, (
% 0.19/0.40 a146: $i)).
% 0.19/0.40 tff(tptp_fun__i_val_4_type, type, (
% 0.19/0.40 tptp_fun__i_val_4: $i)).
% 0.19/0.40 tff(a140_type, type, (
% 0.19/0.40 a140: $i)).
% 0.19/0.40 tff(tptp_fun__i_val_1_type, type, (
% 0.19/0.40 tptp_fun__i_val_1: $i)).
% 0.19/0.40 tff(a133_type, type, (
% 0.19/0.40 a133: $i)).
% 0.19/0.40 tff(hskp21_type, type, (
% 0.19/0.40 hskp21: $o)).
% 0.19/0.40 tff(hskp0_type, type, (
% 0.19/0.40 hskp0: $o)).
% 0.19/0.40 tff(hskp26_type, type, (
% 0.19/0.40 hskp26: $o)).
% 0.19/0.40 tff(hskp24_type, type, (
% 0.19/0.40 hskp24: $o)).
% 0.19/0.40 tff(hskp6_type, type, (
% 0.19/0.40 hskp6: $o)).
% 0.19/0.40 tff(tptp_fun__i_val_6_type, type, (
% 0.19/0.40 tptp_fun__i_val_6: $i)).
% 0.19/0.40 tff(a145_type, type, (
% 0.19/0.40 a145: $i)).
% 0.19/0.40 tff(tptp_fun__i_val_8_type, type, (
% 0.19/0.40 tptp_fun__i_val_8: $i)).
% 0.19/0.40 tff(a154_type, type, (
% 0.19/0.40 a154: $i)).
% 0.19/0.40 tff(tptp_fun__i_val_9_type, type, (
% 0.19/0.40 tptp_fun__i_val_9: $i)).
% 0.19/0.40 tff(a156_type, type, (
% 0.19/0.40 a156: $i)).
% 0.19/0.40 tff(tptp_fun__i_val_2_type, type, (
% 0.19/0.40 tptp_fun__i_val_2: $i)).
% 0.19/0.40 tff(a136_type, type, (
% 0.19/0.40 a136: $i)).
% 0.19/0.40 tff(tptp_fun__i_val_10_type, type, (
% 0.19/0.40 tptp_fun__i_val_10: $i)).
% 0.19/0.40 tff(a160_type, type, (
% 0.19/0.40 a160: $i)).
% 0.19/0.40 tff(hskp11_type, type, (
% 0.19/0.40 hskp11: $o)).
% 0.19/0.40 tff(hskp12_type, type, (
% 0.19/0.40 hskp12: $o)).
% 0.19/0.40 tff(tptp_fun__i_val_5_type, type, (
% 0.19/0.40 tptp_fun__i_val_5: $i)).
% 0.19/0.40 tff(a142_type, type, (
% 0.19/0.40 a142: $i)).
% 0.19/0.40 tff(hskp19_type, type, (
% 0.19/0.40 hskp19: $o)).
% 0.19/0.40 tff(tptp_fun__i_val_12_type, type, (
% 0.19/0.40 tptp_fun__i_val_12: $i)).
% 0.19/0.40 tff(a134_type, type, (
% 0.19/0.40 a134: $i)).
% 0.19/0.40 tff(tptp_fun__i_val_13_type, type, (
% 0.19/0.40 tptp_fun__i_val_13: $i)).
% 0.19/0.40 tff(a143_type, type, (
% 0.19/0.40 a143: $i)).
% 0.19/0.40 tff(hskp2_type, type, (
% 0.19/0.40 hskp2: $o)).
% 0.19/0.40 tff(hskp27_type, type, (
% 0.19/0.40 hskp27: $o)).
% 0.19/0.40 tff(hskp5_type, type, (
% 0.19/0.40 hskp5: $o)).
% 0.19/0.40 tff(tptp_fun__i_val_16_type, type, (
% 0.19/0.40 tptp_fun__i_val_16: $i)).
% 0.19/0.40 tff(a149_type, type, (
% 0.19/0.40 a149: $i)).
% 0.19/0.40 tff(tptp_fun__i_val_18_type, type, (
% 0.19/0.40 tptp_fun__i_val_18: $i)).
% 0.19/0.40 tff(a157_type, type, (
% 0.19/0.40 a157: $i)).
% 0.19/0.40 tff(hskp15_type, type, (
% 0.19/0.40 hskp15: $o)).
% 0.19/0.40 tff(hskp3_type, type, (
% 0.19/0.40 hskp3: $o)).
% 0.19/0.40 tff(hskp18_type, type, (
% 0.19/0.40 hskp18: $o)).
% 0.19/0.40 tff(hskp8_type, type, (
% 0.19/0.40 hskp8: $o)).
% 0.19/0.40 tff(tptp_fun__i_val_14_type, type, (
% 0.19/0.40 tptp_fun__i_val_14: $i)).
% 0.19/0.40 tff(a144_type, type, (
% 0.19/0.40 a144: $i)).
% 0.19/0.40 tff(hskp7_type, type, (
% 0.19/0.40 hskp7: $o)).
% 0.19/0.40 tff(tptp_fun__i_val_3_type, type, (
% 0.19/0.40 tptp_fun__i_val_3: $i)).
% 0.19/0.40 tff(a137_type, type, (
% 0.19/0.40 a137: $i)).
% 0.19/0.40 tff(tptp_fun__i_val_11_type, type, (
% 0.19/0.40 tptp_fun__i_val_11: $i)).
% 0.19/0.40 tff(a161_type, type, (
% 0.19/0.40 a161: $i)).
% 0.19/0.40 tff(tptp_fun__i_val_17_type, type, (
% 0.19/0.40 tptp_fun__i_val_17: $i)).
% 0.19/0.40 tff(a152_type, type, (
% 0.19/0.40 a152: $i)).
% 0.19/0.40 tff(tptp_fun__i_val_0_type, type, (
% 0.19/0.40 tptp_fun__i_val_0: $i)).
% 0.19/0.40 tff(a132_type, type, (
% 0.19/0.40 a132: $i)).
% 0.19/0.40 tff(hskp25_type, type, (
% 0.19/0.40 hskp25: $o)).
% 0.19/0.40 tff(k!0_type, type, (
% 0.19/0.40 k!0: $i > $i)).
% 0.19/0.40 tff(c3_1_type, type, (
% 0.19/0.40 c3_1: $i > $o)).
% 0.19/0.40 tff(c2_1_type, type, (
% 0.19/0.40 c2_1: $i > $o)).
% 0.19/0.40 tff(c0_1_type, type, (
% 0.19/0.40 c0_1: $i > $o)).
% 0.19/0.40 tff(c1_1_type, type, (
% 0.19/0.40 c1_1: $i > $o)).
% 0.19/0.40 tff(formula1, axiom,
% 0.19/0.40 hskp10 <=> $true).
% 0.19/0.40 tff(formula2, axiom,
% 0.19/0.40 ndr1_0 <=> $true).
% 0.19/0.40 tff(formula3, axiom,
% 0.19/0.40 a147 = $i!val!15).
% 0.19/0.40 tff(formula4, axiom,
% 0.19/0.40 a158 = $i!val!19).
% 0.19/0.40 tff(formula5, axiom,
% 0.19/0.40 hskp22 <=> $false).
% 0.19/0.40 tff(formula6, axiom,
% 0.19/0.40 hskp14 <=> $false).
% 0.19/0.40 tff(formula7, axiom,
% 0.19/0.40 hskp23 <=> $true).
% 0.19/0.40 tff(formula8, axiom,
% 0.19/0.40 hskp28 <=> $true).
% 0.19/0.40 tff(formula9, axiom,
% 0.19/0.40 a146 = $i!val!7).
% 0.19/0.40 tff(formula10, axiom,
% 0.19/0.40 a140 = $i!val!4).
% 0.19/0.40 tff(formula11, axiom,
% 0.19/0.40 a133 = $i!val!1).
% 0.19/0.40 tff(formula12, axiom,
% 0.19/0.40 hskp21 <=> $true).
% 0.19/0.40 tff(formula13, axiom,
% 0.19/0.40 hskp0 <=> $true).
% 0.19/0.40 tff(formula14, axiom,
% 0.19/0.40 hskp26 <=> $false).
% 0.19/0.40 tff(formula15, axiom,
% 0.19/0.40 hskp24 <=> $false).
% 0.19/0.40 tff(formula16, axiom,
% 0.19/0.40 hskp6 <=> $true).
% 0.19/0.40 tff(formula17, axiom,
% 0.19/0.40 a145 = $i!val!6).
% 0.19/0.40 tff(formula18, axiom,
% 0.19/0.40 a154 = $i!val!8).
% 0.19/0.40 tff(formula19, axiom,
% 0.19/0.41 a156 = $i!val!9).
% 0.19/0.41 tff(formula20, axiom,
% 0.19/0.41 a136 = $i!val!2).
% 0.19/0.41 tff(formula21, axiom,
% 0.19/0.41 a160 = $i!val!10).
% 0.19/0.41 tff(formula22, axiom,
% 0.19/0.41 hskp11 <=> $false).
% 0.19/0.41 tff(formula23, axiom,
% 0.19/0.41 hskp12 <=> $true).
% 0.19/0.41 tff(formula24, axiom,
% 0.19/0.41 a142 = $i!val!5).
% 0.19/0.41 tff(formula25, axiom,
% 0.19/0.41 hskp19 <=> $true).
% 0.19/0.41 tff(formula26, axiom,
% 0.19/0.41 a134 = $i!val!12).
% 0.19/0.41 tff(formula27, axiom,
% 0.19/0.41 a143 = $i!val!13).
% 0.19/0.41 tff(formula28, axiom,
% 0.19/0.41 hskp2 <=> $false).
% 0.19/0.41 tff(formula29, axiom,
% 0.19/0.41 hskp27 <=> $false).
% 0.19/0.41 tff(formula30, axiom,
% 0.19/0.41 hskp5 <=> $false).
% 0.19/0.41 tff(formula31, axiom,
% 0.19/0.41 a149 = $i!val!16).
% 0.19/0.41 tff(formula32, axiom,
% 0.19/0.41 a157 = $i!val!18).
% 0.19/0.41 tff(formula33, axiom,
% 0.19/0.41 hskp15 <=> $true).
% 0.19/0.41 tff(formula34, axiom,
% 0.19/0.41 hskp3 <=> $true).
% 0.19/0.41 tff(formula35, axiom,
% 0.19/0.41 hskp18 <=> $false).
% 0.19/0.41 tff(formula36, axiom,
% 0.19/0.41 hskp8 <=> $true).
% 0.19/0.41 tff(formula37, axiom,
% 0.19/0.41 a144 = $i!val!14).
% 0.19/0.41 tff(formula38, axiom,
% 0.19/0.41 hskp7 <=> $false).
% 0.19/0.41 tff(formula39, axiom,
% 0.19/0.41 a137 = $i!val!3).
% 0.19/0.41 tff(formula40, axiom,
% 0.19/0.41 a161 = $i!val!11).
% 0.19/0.41 tff(formula41, axiom,
% 0.19/0.41 a152 = $i!val!17).
% 0.19/0.41 tff(formula42, axiom,
% 0.19/0.41 a132 = $i!val!0).
% 0.19/0.41 tff(formula43, axiom,
% 0.19/0.41 hskp25 <=> $true).
% 0.19/0.41 tff(formula44, axiom,
% 0.19/0.41 ![X0: $i] : (c3_1(X0) <=> ((k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!17) | (k!0(X0) = $i!val!15) | (k!0(X0) = $i!val!14) | (k!0(X0) = $i!val!5)))).
% 0.19/0.41 tff(formula45, axiom,
% 0.19/0.41 ![X0: $i] : (c2_1(X0) <=> ((k!0(X0) = $i!val!11) | (k!0(X0) = $i!val!1) | (k!0(X0) = $i!val!2) | (k!0(X0) = $i!val!17) | (k!0(X0) = $i!val!12) | (k!0(X0) = $i!val!19) | (k!0(X0) = $i!val!15) | (k!0(X0) = $i!val!14) | (k!0(X0) = $i!val!13) | (k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!9)))).
% 0.19/0.41 tff(formula46, axiom,
% 0.19/0.41 k!0($i!val!19) = $i!val!19).
% 0.19/0.41 tff(formula47, axiom,
% 0.19/0.41 k!0($i!val!4) = $i!val!4).
% 0.19/0.41 tff(formula48, axiom,
% 0.19/0.41 k!0($i!val!14) = $i!val!14).
% 0.19/0.41 tff(formula49, axiom,
% 0.19/0.41 k!0($i!val!1) = $i!val!1).
% 0.19/0.41 tff(formula50, axiom,
% 0.19/0.41 k!0($i!val!18) = $i!val!18).
% 0.19/0.41 tff(formula51, axiom,
% 0.19/0.41 k!0($i!val!3) = $i!val!3).
% 0.19/0.41 tff(formula52, axiom,
% 0.19/0.41 k!0($i!val!6) = $i!val!6).
% 0.19/0.41 tff(formula53, axiom,
% 0.19/0.41 k!0($i!val!8) = $i!val!8).
% 0.19/0.41 tff(formula54, axiom,
% 0.19/0.41 k!0($i!val!9) = $i!val!9).
% 0.19/0.41 tff(formula55, axiom,
% 0.19/0.41 k!0($i!val!12) = $i!val!12).
% 0.19/0.41 tff(formula56, axiom,
% 0.19/0.41 k!0($i!val!17) = $i!val!17).
% 0.19/0.41 tff(formula57, axiom,
% 0.19/0.41 k!0($i!val!7) = $i!val!7).
% 0.19/0.41 tff(formula58, axiom,
% 0.19/0.41 k!0($i!val!11) = $i!val!11).
% 0.19/0.41 tff(formula59, axiom,
% 0.19/0.41 k!0($i!val!2) = $i!val!2).
% 0.19/0.41 tff(formula60, axiom,
% 0.19/0.41 k!0($i!val!0) = $i!val!0).
% 0.19/0.41 tff(formula61, axiom,
% 0.19/0.41 k!0($i!val!10) = $i!val!10).
% 0.19/0.41 tff(formula62, axiom,
% 0.19/0.41 k!0($i!val!13) = $i!val!13).
% 0.19/0.41 tff(formula63, axiom,
% 0.19/0.41 k!0($i!val!5) = $i!val!5).
% 0.19/0.41 tff(formula64, axiom,
% 0.19/0.41 k!0($i!val!16) = $i!val!16).
% 0.19/0.41 tff(formula65, axiom,
% 0.19/0.41 ![X0: $i] : ((~((($i!val!19 = X0)) | (($i!val!4 = X0)) | (($i!val!14 = X0)) | (($i!val!1 = X0)) | (($i!val!18 = X0)) | (($i!val!3 = X0)) | (($i!val!6 = X0)) | (($i!val!8 = X0)) | (($i!val!9 = X0)) | (($i!val!12 = X0)) | (($i!val!17 = X0)) | (($i!val!7 = X0)) | (($i!val!11 = X0)) | (($i!val!2 = X0)) | (($i!val!0 = X0)) | (($i!val!10 = X0)) | (($i!val!13 = X0)) | (($i!val!5 = X0)) | (($i!val!16 = X0)))) => (k!0(X0) = $i!val!15))).
% 0.19/0.41 tff(formula66, axiom,
% 0.19/0.41 ![X0: $i] : (c0_1(X0) <=> ((k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!16) | (k!0(X0) = $i!val!7) | (k!0(X0) = $i!val!11) | (k!0(X0) = $i!val!12) | (k!0(X0) = $i!val!4) | (k!0(X0) = $i!val!13)))).
% 0.19/0.41 tff(formula67, axiom,
% 0.19/0.41 ![X0: $i] : (c1_1(X0) <=> ((k!0(X0) = $i!val!3) | (k!0(X0) = $i!val!16) | (k!0(X0) = $i!val!17) | (k!0(X0) = $i!val!19) | (k!0(X0) = $i!val!15) | (k!0(X0) = $i!val!14) | (k!0(X0) = $i!val!4) | (k!0(X0) = $i!val!13) | (k!0(X0) = $i!val!5) | (k!0(X0) = $i!val!9)))).
% 0.19/0.41 % SZS output end Model
%------------------------------------------------------------------------------