TSTP Solution File: PUZ012_10 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : PUZ012_10 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n014.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 : Mon May 22 15:42:05 EDT 2023

% Result   : Satisfiable 0.20s 0.42s
% Output   : Model 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ012_10 : TPTP v8.2.0. Released v8.2.0.
% 0.07/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34  % Computer : n014.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon May 22 12:24:24 EDT 2023
% 0.13/0.35  % 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.
% 0.20/0.42  % SZS status Satisfiable
% 0.20/0.42  % SZS output start Model
% 0.20/0.42  tff(box_val_0_type, type, (
% 0.20/0.42     box_val_0: box)).
% 0.20/0.42  tff(boxa_type, type, (
% 0.20/0.42     boxa: box)).
% 0.20/0.42  tff(fruit_val_1_type, type, (
% 0.20/0.42     fruit_val_1: fruit)).
% 0.20/0.42  tff(bananas_type, type, (
% 0.20/0.42     bananas: fruit)).
% 0.20/0.42  tff(fruit_val_0_type, type, (
% 0.20/0.42     fruit_val_0: fruit)).
% 0.20/0.42  tff(apples_type, type, (
% 0.20/0.42     apples: fruit)).
% 0.20/0.42  tff(box_val_2_type, type, (
% 0.20/0.42     box_val_2: box)).
% 0.20/0.42  tff(boxc_type, type, (
% 0.20/0.42     boxc: box)).
% 0.20/0.42  tff(fruit_val_2_type, type, (
% 0.20/0.42     fruit_val_2: fruit)).
% 0.20/0.42  tff(oranges_type, type, (
% 0.20/0.42     oranges: fruit)).
% 0.20/0.42  tff(box_val_1_type, type, (
% 0.20/0.42     box_val_1: box)).
% 0.20/0.42  tff(boxb_type, type, (
% 0.20/0.42     boxb: box)).
% 0.20/0.42  tff(equal_fruits_type, type, (
% 0.20/0.42     equal_fruits: ( fruit * fruit ) > $o)).
% 0.20/0.42  tff(contains_type, type, (
% 0.20/0.42     contains: ( box * fruit ) > $o)).
% 0.20/0.42  tff(label_type, type, (
% 0.20/0.42     label: ( box * fruit ) > $o)).
% 0.20/0.42  tff(equal_boxes_type, type, (
% 0.20/0.42     equal_boxes: ( box * box ) > $o)).
% 0.20/0.42  tff(formula1, axiom,
% 0.20/0.42      boxa = box!val!0).
% 0.20/0.42  tff(formula2, axiom,
% 0.20/0.42      bananas = fruit!val!1).
% 0.20/0.42  tff(formula3, axiom,
% 0.20/0.42      apples = fruit!val!0).
% 0.20/0.42  tff(formula4, axiom,
% 0.20/0.42      boxc = box!val!2).
% 0.20/0.42  tff(formula5, axiom,
% 0.20/0.42      oranges = fruit!val!2).
% 0.20/0.42  tff(formula6, axiom,
% 0.20/0.42      boxb = box!val!1).
% 0.20/0.42  tff(formula7, axiom,
% 0.20/0.42      ![X0: fruit, X1: fruit] : (equal_fruits(X0, X1) <=> (((ite_t((X1 = fruit!val!2), fruit!val!2, ite_t((X1 = fruit!val!0), fruit!val!0, fruit!val!1)) = fruit!val!0) & (ite_t((X0 = fruit!val!2), fruit!val!2, ite_t((X0 = fruit!val!0), fruit!val!0, fruit!val!1)) = fruit!val!0)) | ((ite_t((X1 = fruit!val!2), fruit!val!2, ite_t((X1 = fruit!val!0), fruit!val!0, fruit!val!1)) = fruit!val!1) & (ite_t((X0 = fruit!val!2), fruit!val!2, ite_t((X0 = fruit!val!0), fruit!val!0, fruit!val!1)) = fruit!val!1)) | ((ite_t((X1 = fruit!val!2), fruit!val!2, ite_t((X1 = fruit!val!0), fruit!val!0, fruit!val!1)) = fruit!val!2) & (ite_t((X0 = fruit!val!2), fruit!val!2, ite_t((X0 = fruit!val!0), fruit!val!0, fruit!val!1)) = fruit!val!2))))).
% 0.20/0.42  tff(formula8, axiom,
% 0.20/0.42      ![X0: box, X1: fruit] : (contains(X0, X1) <=> (((ite_t((X1 = box!val!0), box!val!0, ite_t((X1 = box!val!2), box!val!2, box!val!1)) = box!val!0) & (ite_t((X0 = fruit!val!2), fruit!val!2, ite_t((X0 = fruit!val!0), fruit!val!0, fruit!val!1)) = fruit!val!1)) | ((ite_t((X1 = box!val!0), box!val!0, ite_t((X1 = box!val!2), box!val!2, box!val!1)) = box!val!1) & (ite_t((X0 = fruit!val!2), fruit!val!2, ite_t((X0 = fruit!val!0), fruit!val!0, fruit!val!1)) = fruit!val!0)) | ((ite_t((X1 = box!val!0), box!val!0, ite_t((X1 = box!val!2), box!val!2, box!val!1)) = box!val!2) & (ite_t((X0 = fruit!val!2), fruit!val!2, ite_t((X0 = fruit!val!0), fruit!val!0, fruit!val!1)) = fruit!val!2))))).
% 0.20/0.42  tff(formula9, axiom,
% 0.20/0.42      ![X0: box, X1: fruit] : (label(X0, X1) <=> (((ite_t((X1 = box!val!0), box!val!0, ite_t((X1 = box!val!2), box!val!2, box!val!1)) = box!val!0) & (ite_t((X0 = fruit!val!2), fruit!val!2, ite_t((X0 = fruit!val!0), fruit!val!0, fruit!val!1)) = fruit!val!0)) | ((ite_t((X1 = box!val!0), box!val!0, ite_t((X1 = box!val!2), box!val!2, box!val!1)) = box!val!2) & (ite_t((X0 = fruit!val!2), fruit!val!2, ite_t((X0 = fruit!val!0), fruit!val!0, fruit!val!1)) = fruit!val!1)) | ((ite_t((X1 = box!val!0), box!val!0, ite_t((X1 = box!val!2), box!val!2, box!val!1)) = box!val!1) & (ite_t((X0 = fruit!val!2), fruit!val!2, ite_t((X0 = fruit!val!0), fruit!val!0, fruit!val!1)) = fruit!val!2))))).
% 0.20/0.42  tff(formula10, axiom,
% 0.20/0.42      ![X0: box, X1: box] : (equal_boxes(X0, X1) <=> (((ite_t((X1 = box!val!0), box!val!0, ite_t((X1 = box!val!2), box!val!2, box!val!1)) = box!val!0) & (ite_t((X0 = box!val!0), box!val!0, ite_t((X0 = box!val!2), box!val!2, box!val!1)) = box!val!0)) | ((ite_t((X1 = box!val!0), box!val!0, ite_t((X1 = box!val!2), box!val!2, box!val!1)) = box!val!2) & (ite_t((X0 = box!val!0), box!val!0, ite_t((X0 = box!val!2), box!val!2, box!val!1)) = box!val!2)) | ((ite_t((X1 = box!val!0), box!val!0, ite_t((X1 = box!val!2), box!val!2, box!val!1)) = box!val!1) & (ite_t((X0 = box!val!0), box!val!0, ite_t((X0 = box!val!2), box!val!2, box!val!1)) = box!val!1))))).
% 0.20/0.42  % SZS output end Model
%------------------------------------------------------------------------------