TSTP Solution File: LCL649+1.005 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : LCL649+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n011.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 : Sun Sep 18 04:57:22 EDT 2022

% Result   : CounterSatisfiable 0.20s 0.40s
% Output   : Model 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : LCL649+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33  % Computer : n011.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 : Thu Sep  1 22:59:12 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.
% 0.20/0.40  % SZS status CounterSatisfiable
% 0.20/0.40  % SZS output start Model
% 0.20/0.40  tff(p405_type, type, (
% 0.20/0.40     p405: $i > $o)).
% 0.20/0.40  tff(tptp_fun__i_val_1_type, type, (
% 0.20/0.40     tptp_fun__i_val_1: $i)).
% 0.20/0.40  tff(k!12_type, type, (
% 0.20/0.40     k!12: $i > $i)).
% 0.20/0.40  tff(p101_type, type, (
% 0.20/0.40     p101: $i > $o)).
% 0.20/0.40  tff(p304_type, type, (
% 0.20/0.40     p304: $i > $o)).
% 0.20/0.40  tff(p401_type, type, (
% 0.20/0.40     p401: $i > $o)).
% 0.20/0.40  tff(p503_type, type, (
% 0.20/0.40     p503: $i > $o)).
% 0.20/0.40  tff(p404_type, type, (
% 0.20/0.40     p404: $i > $o)).
% 0.20/0.40  tff(p402_type, type, (
% 0.20/0.40     p402: $i > $o)).
% 0.20/0.40  tff(p204_type, type, (
% 0.20/0.40     p204: $i > $o)).
% 0.20/0.40  tff(tptp_fun__i_val_7_type, type, (
% 0.20/0.40     tptp_fun__i_val_7: $i)).
% 0.20/0.40  tff(tptp_fun__i_val_4_type, type, (
% 0.20/0.40     tptp_fun__i_val_4: $i)).
% 0.20/0.40  tff(tptp_fun__i_val_10_type, type, (
% 0.20/0.40     tptp_fun__i_val_10: $i)).
% 0.20/0.40  tff(tptp_fun__i_val_0_type, type, (
% 0.20/0.40     tptp_fun__i_val_0: $i)).
% 0.20/0.40  tff(tptp_fun__i_val_2_type, type, (
% 0.20/0.40     tptp_fun__i_val_2: $i)).
% 0.20/0.40  tff(tptp_fun__i_val_6_type, type, (
% 0.20/0.40     tptp_fun__i_val_6: $i)).
% 0.20/0.40  tff(tptp_fun__i_val_8_type, type, (
% 0.20/0.40     tptp_fun__i_val_8: $i)).
% 0.20/0.40  tff(tptp_fun__i_val_9_type, type, (
% 0.20/0.40     tptp_fun__i_val_9: $i)).
% 0.20/0.40  tff(tptp_fun__i_val_3_type, type, (
% 0.20/0.40     tptp_fun__i_val_3: $i)).
% 0.20/0.40  tff(tptp_fun__i_val_11_type, type, (
% 0.20/0.40     tptp_fun__i_val_11: $i)).
% 0.20/0.40  tff(tptp_fun__i_val_5_type, type, (
% 0.20/0.40     tptp_fun__i_val_5: $i)).
% 0.20/0.40  tff(p103_type, type, (
% 0.20/0.40     p103: $i > $o)).
% 0.20/0.40  tff(p102_type, type, (
% 0.20/0.40     p102: $i > $o)).
% 0.20/0.40  tff(p504_type, type, (
% 0.20/0.40     p504: $i > $o)).
% 0.20/0.40  tff(p303_type, type, (
% 0.20/0.40     p303: $i > $o)).
% 0.20/0.40  tff(p502_type, type, (
% 0.20/0.40     p502: $i > $o)).
% 0.20/0.40  tff(p305_type, type, (
% 0.20/0.40     p305: $i > $o)).
% 0.20/0.40  tff(r1_type, type, (
% 0.20/0.40     r1: ( $i * $i ) > $o)).
% 0.20/0.40  tff(p403_type, type, (
% 0.20/0.40     p403: $i > $o)).
% 0.20/0.40  tff(p104_type, type, (
% 0.20/0.40     p104: $i > $o)).
% 0.20/0.40  tff(p501_type, type, (
% 0.20/0.40     p501: $i > $o)).
% 0.20/0.40  tff(p302_type, type, (
% 0.20/0.40     p302: $i > $o)).
% 0.20/0.40  tff(p301_type, type, (
% 0.20/0.40     p301: $i > $o)).
% 0.20/0.40  tff(p601_type, type, (
% 0.20/0.40     p601: $i > $o)).
% 0.20/0.40  tff(p201_type, type, (
% 0.20/0.40     p201: $i > $o)).
% 0.20/0.40  tff(p605_type, type, (
% 0.20/0.40     p605: $i > $o)).
% 0.20/0.40  tff(p203_type, type, (
% 0.20/0.40     p203: $i > $o)).
% 0.20/0.40  tff(p603_type, type, (
% 0.20/0.40     p603: $i > $o)).
% 0.20/0.40  tff(p602_type, type, (
% 0.20/0.40     p602: $i > $o)).
% 0.20/0.40  tff(p205_type, type, (
% 0.20/0.40     p205: $i > $o)).
% 0.20/0.40  tff(p105_type, type, (
% 0.20/0.40     p105: $i > $o)).
% 0.20/0.40  tff(p604_type, type, (
% 0.20/0.40     p604: $i > $o)).
% 0.20/0.40  tff(p505_type, type, (
% 0.20/0.40     p505: $i > $o)).
% 0.20/0.40  tff(p202_type, type, (
% 0.20/0.40     p202: $i > $o)).
% 0.20/0.40  tff(formula1, axiom,
% 0.20/0.40      ![X0: $i] : (p405(X0) <=> $false)).
% 0.20/0.40  tff(formula2, axiom,
% 0.20/0.40      ![X0: $i] : (p101(X0) <=> (k!12(X0) = $i!val!1))).
% 0.20/0.40  tff(formula3, axiom,
% 0.20/0.40      ![X0: $i] : (p304(X0) <=> $false)).
% 0.20/0.40  tff(formula4, axiom,
% 0.20/0.40      ![X0: $i] : (p401(X0) <=> $false)).
% 0.20/0.40  tff(formula5, axiom,
% 0.20/0.40      ![X0: $i] : (p503(X0) <=> $false)).
% 0.20/0.40  tff(formula6, axiom,
% 0.20/0.40      ![X0: $i] : (p404(X0) <=> (k!12(X0) = $i!val!1))).
% 0.20/0.40  tff(formula7, axiom,
% 0.20/0.40      ![X0: $i] : (p402(X0) <=> $false)).
% 0.20/0.40  tff(formula8, axiom,
% 0.20/0.40      ![X0: $i] : (p204(X0) <=> $false)).
% 0.20/0.40  tff(formula9, axiom,
% 0.20/0.40      k!12($i!val!7) = $i!val!7).
% 0.20/0.40  tff(formula10, axiom,
% 0.20/0.40      k!12($i!val!1) = $i!val!1).
% 0.20/0.40  tff(formula11, axiom,
% 0.20/0.40      k!12($i!val!4) = $i!val!4).
% 0.20/0.40  tff(formula12, axiom,
% 0.20/0.40      k!12($i!val!10) = $i!val!10).
% 0.20/0.40  tff(formula13, axiom,
% 0.20/0.40      k!12($i!val!0) = $i!val!0).
% 0.20/0.40  tff(formula14, axiom,
% 0.20/0.40      k!12($i!val!2) = $i!val!2).
% 0.20/0.40  tff(formula15, axiom,
% 0.20/0.40      k!12($i!val!6) = $i!val!6).
% 0.20/0.40  tff(formula16, axiom,
% 0.20/0.40      k!12($i!val!8) = $i!val!8).
% 0.20/0.40  tff(formula17, axiom,
% 0.20/0.40      k!12($i!val!9) = $i!val!9).
% 0.20/0.40  tff(formula18, axiom,
% 0.20/0.40      k!12($i!val!3) = $i!val!3).
% 0.20/0.40  tff(formula19, axiom,
% 0.20/0.40      k!12($i!val!11) = $i!val!11).
% 0.20/0.40  tff(formula20, axiom,
% 0.20/0.40      ![X0: $i] : ((~((($i!val!7 = X0)) | (($i!val!1 = X0)) | (($i!val!4 = X0)) | (($i!val!10 = X0)) | (($i!val!0 = X0)) | (($i!val!2 = X0)) | (($i!val!6 = X0)) | (($i!val!8 = X0)) | (($i!val!9 = X0)) | (($i!val!3 = X0)) | (($i!val!11 = X0)))) => (k!12(X0) = $i!val!5))).
% 0.20/0.40  tff(formula21, axiom,
% 0.20/0.40      ![X0: $i] : (p103(X0) <=> $false)).
% 0.20/0.40  tff(formula22, axiom,
% 0.20/0.40      ![X0: $i] : (p102(X0) <=> $false)).
% 0.20/0.40  tff(formula23, axiom,
% 0.20/0.40      ![X0: $i] : (p504(X0) <=> (k!12(X0) = $i!val!1))).
% 0.20/0.40  tff(formula24, axiom,
% 0.20/0.40      ![X0: $i] : (p303(X0) <=> (k!12(X0) = $i!val!1))).
% 0.20/0.40  tff(formula25, axiom,
% 0.20/0.40      ![X0: $i] : (p502(X0) <=> $false)).
% 0.20/0.40  tff(formula26, axiom,
% 0.20/0.40      ![X0: $i] : (p305(X0) <=> $false)).
% 0.20/0.40  tff(formula27, axiom,
% 0.20/0.40      ![X0: $i, X1: $i] : (r1(X0, X1) <=> (((k!12(X1) = $i!val!1) & (k!12(X0) = $i!val!11)) | ((k!12(X1) = $i!val!1) & (k!12(X0) = $i!val!6)) | ((k!12(X1) = $i!val!1) & (k!12(X0) = $i!val!5)) | ((k!12(X1) = $i!val!1) & (k!12(X0) = $i!val!9)) | ((k!12(X1) = $i!val!1) & (k!12(X0) = $i!val!3)) | ((k!12(X1) = $i!val!1) & (k!12(X0) = $i!val!7)) | ((k!12(X1) = $i!val!1) & (k!12(X0) = $i!val!8)) | ((k!12(X1) = $i!val!1) & (k!12(X0) = $i!val!10)) | ((k!12(X1) = $i!val!0) & (k!12(X0) = $i!val!1)) | ((k!12(X1) = $i!val!1) & (k!12(X0) = $i!val!2)) | ((k!12(X1) = $i!val!1) & (k!12(X0) = $i!val!4))))).
% 0.20/0.41  tff(formula28, axiom,
% 0.20/0.41      ![X0: $i] : (p403(X0) <=> $false)).
% 0.20/0.41  tff(formula29, axiom,
% 0.20/0.41      ![X0: $i] : (p104(X0) <=> $false)).
% 0.20/0.41  tff(formula30, axiom,
% 0.20/0.41      ![X0: $i] : (p501(X0) <=> $false)).
% 0.20/0.41  tff(formula31, axiom,
% 0.20/0.41      ![X0: $i] : (p302(X0) <=> $false)).
% 0.20/0.41  tff(formula32, axiom,
% 0.20/0.41      ![X0: $i] : (p301(X0) <=> $false)).
% 0.20/0.41  tff(formula33, axiom,
% 0.20/0.41      ![X0: $i] : (p601(X0) <=> $false)).
% 0.20/0.41  tff(formula34, axiom,
% 0.20/0.41      ![X0: $i] : (p201(X0) <=> $false)).
% 0.20/0.41  tff(formula35, axiom,
% 0.20/0.41      ![X0: $i] : (p605(X0) <=> (k!12(X0) = $i!val!1))).
% 0.20/0.41  tff(formula36, axiom,
% 0.20/0.41      ![X0: $i] : (p203(X0) <=> $false)).
% 0.20/0.41  tff(formula37, axiom,
% 0.20/0.41      ![X0: $i] : (p603(X0) <=> $false)).
% 0.20/0.41  tff(formula38, axiom,
% 0.20/0.41      ![X0: $i] : (p602(X0) <=> $false)).
% 0.20/0.41  tff(formula39, axiom,
% 0.20/0.41      ![X0: $i] : (p205(X0) <=> $false)).
% 0.20/0.41  tff(formula40, axiom,
% 0.20/0.41      ![X0: $i] : (p105(X0) <=> $false)).
% 0.20/0.41  tff(formula41, axiom,
% 0.20/0.41      ![X0: $i] : (p604(X0) <=> $false)).
% 0.20/0.41  tff(formula42, axiom,
% 0.20/0.41      ![X0: $i] : (p505(X0) <=> $false)).
% 0.20/0.41  tff(formula43, axiom,
% 0.20/0.41      ![X0: $i] : (p202(X0) <=> (k!12(X0) = $i!val!1))).
% 0.20/0.41  % SZS output end Model
%------------------------------------------------------------------------------