TSTP Solution File: PUZ071+1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : PUZ071+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n010.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 14:11:16 EDT 2022

% Result   : Satisfiable 0.45s 0.59s
% Output   : Model 0.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PUZ071+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34  % Computer : n010.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 : Fri Sep  2 18:41:27 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35  Usage: tptp [options] [-file:]file
% 0.13/0.35    -h, -?       prints this message.
% 0.13/0.35    -smt2        print SMT-LIB2 benchmark.
% 0.13/0.35    -m, -model   generate model.
% 0.13/0.35    -p, -proof   generate proof.
% 0.13/0.35    -c, -core    generate unsat core of named formulas.
% 0.13/0.35    -st, -statistics display statistics.
% 0.13/0.35    -t:timeout   set timeout (in second).
% 0.13/0.35    -smt2status  display status in smt2 format instead of SZS.
% 0.13/0.35    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35    -<param>:<value> configuration parameter and value.
% 0.13/0.35    -o:<output-file> file to place output in.
% 0.45/0.59  % SZS status Satisfiable
% 0.45/0.59  % SZS output start Model
% 0.45/0.59  tff(tptp_fun__i_val_0_type, type, (
% 0.45/0.59     tptp_fun__i_val_0: $i)).
% 0.45/0.59  tff(n2_type, type, (
% 0.45/0.59     n2: $i)).
% 0.45/0.59  tff(tptp_fun__i_val_1_type, type, (
% 0.45/0.59     tptp_fun__i_val_1: $i)).
% 0.45/0.59  tff(n9_type, type, (
% 0.45/0.59     n9: $i)).
% 0.45/0.59  tff(tptp_fun__i_val_2_type, type, (
% 0.45/0.59     tptp_fun__i_val_2: $i)).
% 0.45/0.59  tff(n1_type, type, (
% 0.45/0.59     n1: $i)).
% 0.45/0.59  tff(tptp_fun__i_val_6_type, type, (
% 0.45/0.59     tptp_fun__i_val_6: $i)).
% 0.45/0.59  tff(n3_type, type, (
% 0.45/0.59     n3: $i)).
% 0.45/0.59  tff(tptp_fun__i_val_7_type, type, (
% 0.45/0.59     tptp_fun__i_val_7: $i)).
% 0.45/0.59  tff(n6_type, type, (
% 0.45/0.59     n6: $i)).
% 0.45/0.59  tff(tptp_fun__i_val_3_type, type, (
% 0.45/0.59     tptp_fun__i_val_3: $i)).
% 0.45/0.59  tff(n4_type, type, (
% 0.45/0.59     n4: $i)).
% 0.45/0.59  tff(tptp_fun__i_val_8_type, type, (
% 0.45/0.59     tptp_fun__i_val_8: $i)).
% 0.45/0.59  tff(n7_type, type, (
% 0.45/0.59     n7: $i)).
% 0.45/0.59  tff(tptp_fun__i_val_5_type, type, (
% 0.45/0.59     tptp_fun__i_val_5: $i)).
% 0.45/0.59  tff(n8_type, type, (
% 0.45/0.59     n8: $i)).
% 0.45/0.59  tff(tptp_fun__i_val_4_type, type, (
% 0.45/0.59     tptp_fun__i_val_4: $i)).
% 0.45/0.59  tff(n5_type, type, (
% 0.45/0.59     n5: $i)).
% 0.45/0.59  tff(ssA_type, type, (
% 0.45/0.59     ssA: ( $i * $i ) > $i)).
% 0.45/0.59  tff(ssP_type, type, (
% 0.45/0.59     ssP: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.45/0.59  tff(formula1, axiom,
% 0.45/0.59      n2 = $i!val!0).
% 0.45/0.59  tff(formula2, axiom,
% 0.45/0.59      n9 = $i!val!1).
% 0.45/0.59  tff(formula3, axiom,
% 0.45/0.59      n1 = $i!val!2).
% 0.45/0.59  tff(formula4, axiom,
% 0.45/0.59      n3 = $i!val!6).
% 0.45/0.59  tff(formula5, axiom,
% 0.45/0.59      n6 = $i!val!7).
% 0.45/0.59  tff(formula6, axiom,
% 0.45/0.59      n4 = $i!val!3).
% 0.45/0.59  tff(formula7, axiom,
% 0.45/0.59      n7 = $i!val!8).
% 0.45/0.59  tff(formula8, axiom,
% 0.45/0.59      n8 = $i!val!5).
% 0.45/0.59  tff(formula9, axiom,
% 0.45/0.59      n5 = $i!val!4).
% 0.45/0.59  tff(formula10, axiom,
% 0.45/0.59      ssA($i!val!0, $i!val!1) = $i!val!2).
% 0.45/0.59  tff(formula11, axiom,
% 0.45/0.59      ssA($i!val!2, $i!val!2) = $i!val!3).
% 0.45/0.59  tff(formula12, axiom,
% 0.45/0.59      ssA($i!val!1, $i!val!3) = $i!val!8).
% 0.45/0.59  tff(formula13, axiom,
% 0.45/0.59      ssA($i!val!2, $i!val!0) = $i!val!4).
% 0.45/0.59  tff(formula14, axiom,
% 0.45/0.59      ssA($i!val!2, $i!val!4) = $i!val!5).
% 0.45/0.59  tff(formula15, axiom,
% 0.45/0.59      ssA($i!val!3, $i!val!5) = $i!val!6).
% 0.45/0.59  tff(formula16, axiom,
% 0.45/0.59      ssA($i!val!2, $i!val!7) = $i!val!2).
% 0.45/0.59  tff(formula17, axiom,
% 0.45/0.59      ssA($i!val!2, $i!val!1) = $i!val!0).
% 0.45/0.59  tff(formula18, axiom,
% 0.45/0.59      ssA($i!val!2, $i!val!3) = $i!val!1).
% 0.45/0.59  tff(formula19, axiom,
% 0.45/0.59      ssA($i!val!2, $i!val!6) = $i!val!8).
% 0.45/0.59  tff(formula20, axiom,
% 0.45/0.59      ssA($i!val!2, $i!val!8) = $i!val!6).
% 0.45/0.59  tff(formula21, axiom,
% 0.45/0.59      ssA($i!val!0, $i!val!3) = $i!val!0).
% 0.45/0.59  tff(formula22, axiom,
% 0.45/0.59      ssA($i!val!0, $i!val!4) = $i!val!4).
% 0.45/0.59  tff(formula23, axiom,
% 0.45/0.59      ssA($i!val!0, $i!val!2) = $i!val!5).
% 0.45/0.59  tff(formula24, axiom,
% 0.45/0.59      ssA($i!val!0, $i!val!0) = $i!val!6).
% 0.45/0.59  tff(formula25, axiom,
% 0.45/0.59      ssA($i!val!0, $i!val!6) = $i!val!1).
% 0.45/0.59  tff(formula26, axiom,
% 0.45/0.59      ssA($i!val!0, $i!val!8) = $i!val!3).
% 0.45/0.59  tff(formula27, axiom,
% 0.45/0.59      ssA($i!val!6, $i!val!2) = $i!val!2).
% 0.45/0.59  tff(formula28, axiom,
% 0.45/0.59      ssA($i!val!6, $i!val!4) = $i!val!6).
% 0.45/0.59  tff(formula29, axiom,
% 0.45/0.59      ssA($i!val!6, $i!val!7) = $i!val!8).
% 0.45/0.59  tff(formula30, axiom,
% 0.45/0.60      ssA($i!val!6, $i!val!5) = $i!val!5).
% 0.45/0.60  tff(formula31, axiom,
% 0.45/0.60      ssA($i!val!6, $i!val!1) = $i!val!4).
% 0.45/0.60  tff(formula32, axiom,
% 0.45/0.60      ssA($i!val!6, $i!val!8) = $i!val!1).
% 0.45/0.60  tff(formula33, axiom,
% 0.45/0.60      ssA($i!val!6, $i!val!3) = $i!val!3).
% 0.45/0.60  tff(formula34, axiom,
% 0.45/0.60      ssA($i!val!3, $i!val!0) = $i!val!3).
% 0.45/0.60  tff(formula35, axiom,
% 0.45/0.60      ssA($i!val!3, $i!val!4) = $i!val!8).
% 0.45/0.60  tff(formula36, axiom,
% 0.45/0.60      ssA($i!val!3, $i!val!7) = $i!val!0).
% 0.45/0.60  tff(formula37, axiom,
% 0.45/0.60      ssA($i!val!3, $i!val!2) = $i!val!1).
% 0.45/0.60  tff(formula38, axiom,
% 0.45/0.60      ssA($i!val!3, $i!val!1) = $i!val!5).
% 0.45/0.60  tff(formula39, axiom,
% 0.45/0.60      ssA($i!val!3, $i!val!8) = $i!val!4).
% 0.45/0.60  tff(formula40, axiom,
% 0.45/0.60      ssA($i!val!4, $i!val!0) = $i!val!8).
% 0.45/0.60  tff(formula41, axiom,
% 0.45/0.60      ssA($i!val!4, $i!val!6) = $i!val!5).
% 0.45/0.60  tff(formula42, axiom,
% 0.45/0.60      ssA($i!val!4, $i!val!7) = $i!val!1).
% 0.45/0.60  tff(formula43, axiom,
% 0.45/0.60      ssA($i!val!4, $i!val!5) = $i!val!2).
% 0.45/0.60  tff(formula44, axiom,
% 0.45/0.60      ssA($i!val!4, $i!val!3) = $i!val!6).
% 0.45/0.60  tff(formula45, axiom,
% 0.45/0.60      ssA($i!val!7, $i!val!2) = $i!val!6).
% 0.45/0.60  tff(formula46, axiom,
% 0.45/0.60      ssA($i!val!7, $i!val!6) = $i!val!0).
% 0.45/0.60  tff(formula47, axiom,
% 0.45/0.60      ssA($i!val!7, $i!val!4) = $i!val!2).
% 0.45/0.60  tff(formula48, axiom,
% 0.45/0.60      ssA($i!val!7, $i!val!7) = $i!val!4).
% 0.45/0.60  tff(formula49, axiom,
% 0.45/0.60      ssA($i!val!7, $i!val!5) = $i!val!3).
% 0.45/0.60  tff(formula50, axiom,
% 0.45/0.60      ssA($i!val!7, $i!val!1) = $i!val!1).
% 0.45/0.60  tff(formula51, axiom,
% 0.45/0.60      ssA($i!val!7, $i!val!8) = $i!val!8).
% 0.45/0.60  tff(formula52, axiom,
% 0.45/0.60      ssA($i!val!7, $i!val!3) = $i!val!5).
% 0.45/0.60  tff(formula53, axiom,
% 0.45/0.60      ssA($i!val!8, $i!val!0) = $i!val!2).
% 0.45/0.60  tff(formula54, axiom,
% 0.45/0.60      ssA($i!val!8, $i!val!6) = $i!val!6).
% 0.45/0.60  tff(formula55, axiom,
% 0.45/0.60      ssA($i!val!8, $i!val!5) = $i!val!1).
% 0.45/0.60  tff(formula56, axiom,
% 0.45/0.60      ssA($i!val!8, $i!val!1) = $i!val!8).
% 0.45/0.60  tff(formula57, axiom,
% 0.45/0.60      ssA($i!val!8, $i!val!3) = $i!val!4).
% 0.45/0.60  tff(formula58, axiom,
% 0.45/0.60      ssA($i!val!8, $i!val!7) = $i!val!3).
% 0.45/0.60  tff(formula59, axiom,
% 0.45/0.60      ssA($i!val!5, $i!val!2) = $i!val!8).
% 0.45/0.60  tff(formula60, axiom,
% 0.45/0.60      ssA($i!val!5, $i!val!0) = $i!val!5).
% 0.45/0.60  tff(formula61, axiom,
% 0.45/0.60      ssA($i!val!5, $i!val!6) = $i!val!4).
% 0.45/0.60  tff(formula62, axiom,
% 0.45/0.60      ssA($i!val!5, $i!val!4) = $i!val!1).
% 0.45/0.60  tff(formula63, axiom,
% 0.45/0.60      ssA($i!val!5, $i!val!5) = $i!val!0).
% 0.45/0.60  tff(formula64, axiom,
% 0.45/0.60      ssA($i!val!5, $i!val!1) = $i!val!3).
% 0.45/0.60  tff(formula65, axiom,
% 0.45/0.60      ssA($i!val!1, $i!val!0) = $i!val!1).
% 0.45/0.60  tff(formula66, axiom,
% 0.45/0.60      ssA($i!val!1, $i!val!1) = $i!val!6).
% 0.45/0.60  tff(formula67, axiom,
% 0.45/0.60      ssA($i!val!1, $i!val!6) = $i!val!3).
% 0.45/0.60  tff(formula68, axiom,
% 0.45/0.60      ssA($i!val!1, $i!val!4) = $i!val!0).
% 0.45/0.60  tff(formula69, axiom,
% 0.45/0.60      ssA($i!val!1, $i!val!7) = $i!val!5).
% 0.45/0.60  tff(formula70, axiom,
% 0.45/0.60      ssA($i!val!1, $i!val!5) = $i!val!4).
% 0.45/0.60  tff(formula71, axiom,
% 0.45/0.60      ssA($i!val!1, $i!val!8) = $i!val!2).
% 0.45/0.60  tff(formula72, axiom,
% 0.45/0.60      ssA($i!val!6, $i!val!0) = $i!val!0).
% 0.45/0.60  tff(formula73, axiom,
% 0.45/0.60      ssA($i!val!3, $i!val!6) = $i!val!2).
% 0.45/0.60  tff(formula74, axiom,
% 0.45/0.60      ssA($i!val!4, $i!val!2) = $i!val!4).
% 0.45/0.60  tff(formula75, axiom,
% 0.45/0.60      ssA($i!val!4, $i!val!4) = $i!val!3).
% 0.45/0.60  tff(formula76, axiom,
% 0.45/0.60      ssA($i!val!4, $i!val!8) = $i!val!0).
% 0.45/0.60  tff(formula77, axiom,
% 0.45/0.60      ssA($i!val!8, $i!val!2) = $i!val!0).
% 0.45/0.60  tff(formula78, axiom,
% 0.45/0.60      ssA($i!val!8, $i!val!8) = $i!val!5).
% 0.45/0.60  tff(formula79, axiom,
% 0.45/0.60      ssA($i!val!5, $i!val!3) = $i!val!2).
% 0.45/0.60  tff(formula80, axiom,
% 0.45/0.60      ssA($i!val!5, $i!val!7) = $i!val!6).
% 0.45/0.60  tff(formula81, axiom,
% 0.45/0.60      ssA($i!val!0, $i!val!5) = $i!val!8).
% 0.45/0.60  tff(formula82, axiom,
% 0.45/0.60      ![X0: $i, X1: $i] : ((~((($i!val!0 = X0) & ($i!val!1 = X1)) | (($i!val!2 = X0) & ($i!val!2 = X1)) | (($i!val!1 = X0) & ($i!val!3 = X1)) | (($i!val!2 = X0) & ($i!val!0 = X1)) | (($i!val!2 = X0) & ($i!val!4 = X1)) | (($i!val!3 = X0) & ($i!val!5 = X1)) | (($i!val!2 = X0) & ($i!val!7 = X1)) | (($i!val!2 = X0) & ($i!val!1 = X1)) | (($i!val!2 = X0) & ($i!val!3 = X1)) | (($i!val!2 = X0) & ($i!val!6 = X1)) | (($i!val!2 = X0) & ($i!val!8 = X1)) | (($i!val!0 = X0) & ($i!val!3 = X1)) | (($i!val!0 = X0) & ($i!val!4 = X1)) | (($i!val!0 = X0) & ($i!val!2 = X1)) | (($i!val!0 = X0) & ($i!val!0 = X1)) | (($i!val!0 = X0) & ($i!val!6 = X1)) | (($i!val!0 = X0) & ($i!val!8 = X1)) | (($i!val!6 = X0) & ($i!val!2 = X1)) | (($i!val!6 = X0) & ($i!val!4 = X1)) | (($i!val!6 = X0) & ($i!val!7 = X1)) | (($i!val!6 = X0) & ($i!val!5 = X1)) | (($i!val!6 = X0) & ($i!val!1 = X1)) | (($i!val!6 = X0) & ($i!val!8 = X1)) | (($i!val!6 = X0) & ($i!val!3 = X1)) | (($i!val!3 = X0) & ($i!val!0 = X1)) | (($i!val!3 = X0) & ($i!val!4 = X1)) | (($i!val!3 = X0) & ($i!val!7 = X1)) | (($i!val!3 = X0) & ($i!val!2 = X1)) | (($i!val!3 = X0) & ($i!val!1 = X1)) | (($i!val!3 = X0) & ($i!val!8 = X1)) | (($i!val!4 = X0) & ($i!val!0 = X1)) | (($i!val!4 = X0) & ($i!val!6 = X1)) | (($i!val!4 = X0) & ($i!val!7 = X1)) | (($i!val!4 = X0) & ($i!val!5 = X1)) | (($i!val!4 = X0) & ($i!val!3 = X1)) | (($i!val!7 = X0) & ($i!val!2 = X1)) | (($i!val!7 = X0) & ($i!val!6 = X1)) | (($i!val!7 = X0) & ($i!val!4 = X1)) | (($i!val!7 = X0) & ($i!val!7 = X1)) | (($i!val!7 = X0) & ($i!val!5 = X1)) | (($i!val!7 = X0) & ($i!val!1 = X1)) | (($i!val!7 = X0) & ($i!val!8 = X1)) | (($i!val!7 = X0) & ($i!val!3 = X1)) | (($i!val!8 = X0) & ($i!val!0 = X1)) | (($i!val!8 = X0) & ($i!val!6 = X1)) | (($i!val!8 = X0) & ($i!val!5 = X1)) | (($i!val!8 = X0) & ($i!val!1 = X1)) | (($i!val!8 = X0) & ($i!val!3 = X1)) | (($i!val!8 = X0) & ($i!val!7 = X1)) | (($i!val!5 = X0) & ($i!val!2 = X1)) | (($i!val!5 = X0) & ($i!val!0 = X1)) | (($i!val!5 = X0) & ($i!val!6 = X1)) | (($i!val!5 = X0) & ($i!val!4 = X1)) | (($i!val!5 = X0) & ($i!val!5 = X1)) | (($i!val!5 = X0) & ($i!val!1 = X1)) | (($i!val!1 = X0) & ($i!val!0 = X1)) | (($i!val!1 = X0) & ($i!val!1 = X1)) | (($i!val!1 = X0) & ($i!val!6 = X1)) | (($i!val!1 = X0) & ($i!val!4 = X1)) | (($i!val!1 = X0) & ($i!val!7 = X1)) | (($i!val!1 = X0) & ($i!val!5 = X1)) | (($i!val!1 = X0) & ($i!val!8 = X1)) | (($i!val!6 = X0) & ($i!val!0 = X1)) | (($i!val!3 = X0) & ($i!val!6 = X1)) | (($i!val!4 = X0) & ($i!val!2 = X1)) | (($i!val!4 = X0) & ($i!val!4 = X1)) | (($i!val!4 = X0) & ($i!val!8 = X1)) | (($i!val!8 = X0) & ($i!val!2 = X1)) | (($i!val!8 = X0) & ($i!val!8 = X1)) | (($i!val!5 = X0) & ($i!val!3 = X1)) | (($i!val!5 = X0) & ($i!val!7 = X1)) | (($i!val!0 = X0) & ($i!val!5 = X1)))) => (ssA(X0, X1) = $i!val!7))).
% 0.56/0.67  tff(formula83, axiom,
% 0.56/0.67      ![X0: $i, X1: $i, X2: $i, X3: $i, X4: $i, X5: $i, X6: $i, X7: $i, X8: $i, X9: $i, X10: $i, X11: $i, X12: $i, X13: $i, X14: $i, X15: $i, X16: $i, X17: $i, X18: $i, X19: $i, X20: $i, X21: $i, X22: $i, X23: $i, X24: $i, X25: $i, X26: $i, X27: $i, X28: $i, X29: $i, X30: $i, X31: $i, X32: $i, X33: $i, X34: $i, X35: $i, X36: $i, X37: $i, X38: $i, X39: $i, X40: $i, X41: $i, X42: $i, X43: $i, X44: $i, X45: $i, X46: $i, X47: $i, X48: $i, X49: $i, X50: $i, X51: $i, X52: $i, X53: $i, X54: $i, X55: $i, X56: $i, X57: $i, X58: $i, X59: $i, X60: $i, X61: $i, X62: $i, X63: $i, X64: $i, X65: $i, X66: $i, X67: $i, X68: $i, X69: $i, X70: $i, X71: $i, X72: $i, X73: $i, X74: $i, X75: $i, X76: $i, X77: $i, X78: $i, X79: $i, X80: $i] : (ssP(X0, X1, X2, X3, X4, X5, X6, X7, X8, X9, X10, X11, X12, X13, X14, X15, X16, X17, X18, X19, X20, X21, X22, X23, X24, X25, X26, X27, X28, X29, X30, X31, X32, X33, X34, X35, X36, X37, X38, X39, X40, X41, X42, X43, X44, X45, X46, X47, X48, X49, X50, X51, X52, X53, X54, X55, X56, X57, X58, X59, X60, X61, X62, X63, X64, X65, X66, X67, X68, X69, X70, X71, X72, X73, X74, X75, X76, X77, X78, X79, X80) <=> $true)).
% 0.56/0.67  % SZS output end Model
%------------------------------------------------------------------------------