TSTP Solution File: PUZ028-3 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : PUZ028-3 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n016.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 14:10:56 EDT 2022

% Result   : Satisfiable 0.19s 0.47s
% Output   : Model 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : PUZ028-3 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33  % Computer : n016.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 : Fri Sep  2 18:43:51 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.
% 0.19/0.47  % SZS status Satisfiable
% 0.19/0.47  % SZS output start Model
% 0.19/0.47  tff(tptp_fun__i_val_4_type, type, (
% 0.19/0.47     tptp_fun__i_val_4: $i)).
% 0.19/0.47  tff(n5_type, type, (
% 0.19/0.47     n5: $i)).
% 0.19/0.47  tff(tptp_fun__i_val_3_type, type, (
% 0.19/0.47     tptp_fun__i_val_3: $i)).
% 0.19/0.47  tff(n4_type, type, (
% 0.19/0.47     n4: $i)).
% 0.19/0.47  tff(tptp_fun__i_val_0_type, type, (
% 0.19/0.47     tptp_fun__i_val_0: $i)).
% 0.19/0.47  tff(n1_type, type, (
% 0.19/0.47     n1: $i)).
% 0.19/0.47  tff(tptp_fun__i_val_5_type, type, (
% 0.19/0.47     tptp_fun__i_val_5: $i)).
% 0.19/0.47  tff(n6_type, type, (
% 0.19/0.47     n6: $i)).
% 0.19/0.47  tff(tptp_fun__i_val_1_type, type, (
% 0.19/0.47     tptp_fun__i_val_1: $i)).
% 0.19/0.47  tff(n2_type, type, (
% 0.19/0.47     n2: $i)).
% 0.19/0.47  tff(tptp_fun__i_val_2_type, type, (
% 0.19/0.47     tptp_fun__i_val_2: $i)).
% 0.19/0.47  tff(n3_type, type, (
% 0.19/0.47     n3: $i)).
% 0.19/0.47  tff(person_type, type, (
% 0.19/0.47     person: $i > $o)).
% 0.19/0.47  tff(familiar_type, type, (
% 0.19/0.47     familiar: ( $i * $i ) > $o)).
% 0.19/0.47  tff(not_familiar_type, type, (
% 0.19/0.47     not_familiar: ( $i * $i ) > $o)).
% 0.19/0.47  tff(not_equal_type, type, (
% 0.19/0.47     not_equal: ( $i * $i ) > $o)).
% 0.19/0.47  tff(formula1, axiom,
% 0.19/0.47      n5 = $i!val!4).
% 0.19/0.47  tff(formula2, axiom,
% 0.19/0.47      n4 = $i!val!3).
% 0.19/0.47  tff(formula3, axiom,
% 0.19/0.47      n1 = $i!val!0).
% 0.19/0.47  tff(formula4, axiom,
% 0.19/0.47      n6 = $i!val!5).
% 0.19/0.47  tff(formula5, axiom,
% 0.19/0.47      n2 = $i!val!1).
% 0.19/0.47  tff(formula6, axiom,
% 0.19/0.47      n3 = $i!val!2).
% 0.19/0.47  tff(formula7, axiom,
% 0.19/0.47      ![X0: $i] : (person(X0) <=> $true)).
% 0.19/0.47  tff(formula8, axiom,
% 0.19/0.47      ![X0: $i, X1: $i] : (familiar(X0, X1) <=> (((X1 = $i!val!3) & (X0 = $i!val!2)) | ((X1 = $i!val!4) & (X0 = $i!val!0)) | ((X1 = $i!val!3) & (X0 = $i!val!5)) | ((X1 = $i!val!3) & (X0 = $i!val!4)) | ((X1 = $i!val!4) & (X0 = $i!val!2)) | ((X1 = $i!val!3) & (X0 = $i!val!0)) | ((X1 = $i!val!5) & (X0 = $i!val!0)) | ((X1 = $i!val!5) & (X0 = $i!val!1)) | ((X1 = $i!val!5) & (X0 = $i!val!2)) | ((X1 = $i!val!5) & (X0 = $i!val!4)) | ((X1 = $i!val!3) & (X0 = $i!val!1)) | ((X1 = $i!val!0) & (X0 = $i!val!2)) | ((X1 = $i!val!0) & (X0 = $i!val!4)) | ((X1 = $i!val!1) & (X0 = $i!val!2)) | ((X1 = $i!val!1) & (X0 = $i!val!5))))).
% 0.19/0.47  tff(formula9, axiom,
% 0.19/0.47      ![X0: $i, X1: $i] : (not_familiar(X0, X1) <=> (((X1 = $i!val!2) & (X0 = $i!val!3)) | ((X1 = $i!val!1) & (X0 = $i!val!3)) | ((X1 = $i!val!0) & (X0 = $i!val!1)) | ((X1 = $i!val!0) & (X0 = $i!val!3)) | ((X1 = $i!val!0) & (X0 = $i!val!5)) | ((X1 = $i!val!1) & (X0 = $i!val!0)) | ((X1 = $i!val!1) & (X0 = $i!val!4)) | ((X1 = $i!val!2) & (X0 = $i!val!0)) | ((X1 = $i!val!2) & (X0 = $i!val!1)) | ((X1 = $i!val!2) & (X0 = $i!val!4)) | ((X1 = $i!val!2) & (X0 = $i!val!5)) | ((X1 = $i!val!4) & (X0 = $i!val!1)) | ((X1 = $i!val!4) & (X0 = $i!val!3)) | ((X1 = $i!val!4) & (X0 = $i!val!5)) | ((X1 = $i!val!5) & (X0 = $i!val!3))))).
% 0.19/0.47  tff(formula10, axiom,
% 0.19/0.47      not_equal($i!val!0, $i!val!0) <=> $false).
% 0.19/0.47  tff(formula11, axiom,
% 0.19/0.47      not_equal($i!val!1, $i!val!1) <=> $false).
% 0.19/0.47  tff(formula12, axiom,
% 0.19/0.47      not_equal($i!val!2, $i!val!2) <=> $false).
% 0.19/0.47  tff(formula13, axiom,
% 0.19/0.47      not_equal($i!val!3, $i!val!3) <=> $false).
% 0.19/0.47  tff(formula14, axiom,
% 0.19/0.47      not_equal($i!val!4, $i!val!4) <=> $false).
% 0.19/0.47  tff(formula15, axiom,
% 0.19/0.47      not_equal($i!val!5, $i!val!5) <=> $false).
% 0.19/0.47  tff(formula16, axiom,
% 0.19/0.47      ![X0: $i, X1: $i] : ((~((($i!val!0 = X0) & ($i!val!0 = X1)) | (($i!val!1 = X0) & ($i!val!1 = X1)) | (($i!val!2 = X0) & ($i!val!2 = X1)) | (($i!val!3 = X0) & ($i!val!3 = X1)) | (($i!val!4 = X0) & ($i!val!4 = X1)) | (($i!val!5 = X0) & ($i!val!5 = X1)))) => (not_equal(X0, X1) <=> $true))).
% 0.19/0.47  % SZS output end Model
%------------------------------------------------------------------------------