TSTP Solution File: COM001_10 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : COM001_10 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n022.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 15:23:57 EDT 2023

% Result   : Satisfiable 0.20s 0.41s
% Output   : Model 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COM001_10 : TPTP v8.2.0. Released v8.2.0.
% 0.03/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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 11:02:15 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.
% 0.20/0.41  % SZS status Satisfiable
% 0.20/0.41  % SZS output start Model
% 0.20/0.41  tff(register_val_0_type, type, (
% 0.20/0.41     register_val_0: register)).
% 0.20/0.41  tff(register_j_type, type, (
% 0.20/0.41     register_j: register)).
% 0.20/0.41  tff(label_val_0_type, type, (
% 0.20/0.41     label_val_0: label)).
% 0.20/0.41  tff(loop_type, type, (
% 0.20/0.41     loop: label)).
% 0.20/0.41  tff(label_val_1_type, type, (
% 0.20/0.41     label_val_1: label)).
% 0.20/0.41  tff(out_type, type, (
% 0.20/0.41     out: label)).
% 0.20/0.41  tff(number_val_0_type, type, (
% 0.20/0.41     number_val_0: number)).
% 0.20/0.41  tff(n_type, type, (
% 0.20/0.41     n: number)).
% 0.20/0.41  tff(state_val_1_type, type, (
% 0.20/0.41     state_val_1: state)).
% 0.20/0.41  tff(p4_type, type, (
% 0.20/0.41     p4: state)).
% 0.20/0.41  tff(state_val_0_type, type, (
% 0.20/0.41     state_val_0: state)).
% 0.20/0.41  tff(p3_type, type, (
% 0.20/0.41     p3: state)).
% 0.20/0.41  tff(state_val_3_type, type, (
% 0.20/0.41     state_val_3: state)).
% 0.20/0.41  tff(p8_type, type, (
% 0.20/0.41     p8: state)).
% 0.20/0.41  tff(state_val_2_type, type, (
% 0.20/0.41     state_val_2: state)).
% 0.20/0.41  tff(p5_type, type, (
% 0.20/0.41     p5: state)).
% 0.20/0.41  tff(statement_val_3_type, type, (
% 0.20/0.41     statement_val_3: statement)).
% 0.20/0.41  tff(statement_val_0_type, type, (
% 0.20/0.41     statement_val_0: statement)).
% 0.20/0.41  tff(ifthen_type, type, (
% 0.20/0.41     ifthen: ( boolean * state ) > statement)).
% 0.20/0.41  tff(succeeds_type, type, (
% 0.20/0.41     succeeds: ( state * state ) > $o)).
% 0.20/0.41  tff(statement_val_4_type, type, (
% 0.20/0.41     statement_val_4: statement)).
% 0.20/0.41  tff(statement_val_1_type, type, (
% 0.20/0.41     statement_val_1: statement)).
% 0.20/0.41  tff(statement_val_2_type, type, (
% 0.20/0.41     statement_val_2: statement)).
% 0.20/0.41  tff(goto_type, type, (
% 0.20/0.41     goto: label > statement)).
% 0.20/0.41  tff(follows_type, type, (
% 0.20/0.41     follows: ( state * state ) > $o)).
% 0.20/0.41  tff(boolean_val_0_type, type, (
% 0.20/0.41     boolean_val_0: boolean)).
% 0.20/0.41  tff(equal_function_type, type, (
% 0.20/0.41     equal_function: ( register * number ) > boolean)).
% 0.20/0.41  tff(labels_type, type, (
% 0.20/0.41     labels: ( label * state ) > $o)).
% 0.20/0.41  tff(has_type, type, (
% 0.20/0.41     has: ( state * statement ) > $o)).
% 0.20/0.41  tff(formula1, axiom,
% 0.20/0.41      register_j = register!val!0).
% 0.20/0.41  tff(formula2, axiom,
% 0.20/0.41      loop = label!val!0).
% 0.20/0.41  tff(formula3, axiom,
% 0.20/0.41      out = label!val!1).
% 0.20/0.41  tff(formula4, axiom,
% 0.20/0.41      n = number!val!0).
% 0.20/0.41  tff(formula5, axiom,
% 0.20/0.41      p4 = state!val!1).
% 0.20/0.41  tff(formula6, axiom,
% 0.20/0.41      p3 = state!val!0).
% 0.20/0.41  tff(formula7, axiom,
% 0.20/0.41      p8 = state!val!3).
% 0.20/0.41  tff(formula8, axiom,
% 0.20/0.41      p5 = state!val!2).
% 0.20/0.41  tff(formula9, axiom,
% 0.20/0.41      ![X0: boolean, X1: state] : (ifthen(X0, X1) = ite_t((ite_t((X0 = state!val!1), state!val!1, ite_t((X0 = state!val!2), state!val!2, ite_t((X0 = state!val!3), state!val!3, state!val!0))) = state!val!1), statement!val!0, statement!val!3))).
% 0.20/0.41  tff(formula10, axiom,
% 0.20/0.41      ![X0: state, X1: state] : (succeeds(X0, X1) <=> (((ite_t((X1 = state!val!1), state!val!1, ite_t((X1 = state!val!2), state!val!2, ite_t((X1 = state!val!3), state!val!3, state!val!0))) = state!val!0) & (ite_t((X0 = state!val!1), state!val!1, ite_t((X0 = state!val!2), state!val!2, ite_t((X0 = state!val!3), state!val!3, state!val!0))) = state!val!0)) | ((ite_t((X1 = state!val!1), state!val!1, ite_t((X1 = state!val!2), state!val!2, ite_t((X1 = state!val!3), state!val!3, state!val!0))) = state!val!0) & (ite_t((X0 = state!val!1), state!val!1, ite_t((X0 = state!val!2), state!val!2, ite_t((X0 = state!val!3), state!val!3, state!val!0))) = state!val!3)) | ((ite_t((X1 = state!val!1), state!val!1, ite_t((X1 = state!val!2), state!val!2, ite_t((X1 = state!val!3), state!val!3, state!val!0))) = state!val!2) & (ite_t((X0 = state!val!1), state!val!1, ite_t((X0 = state!val!2), state!val!2, ite_t((X0 = state!val!3), state!val!3, state!val!0))) = state!val!3)) | ((ite_t((X1 = state!val!1), state!val!1, ite_t((X1 = state!val!2), state!val!2, ite_t((X1 = state!val!3), state!val!3, state!val!0))) = state!val!2) & (ite_t((X0 = state!val!1), state!val!1, ite_t((X0 = state!val!2), state!val!2, ite_t((X0 = state!val!3), state!val!3, state!val!0))) = state!val!0)) | ((ite_t((X1 = state!val!1), state!val!1, ite_t((X1 = state!val!2), state!val!2, ite_t((X1 = state!val!3), state!val!3, state!val!0))) = state!val!2) & (ite_t((X0 = state!val!1), state!val!1, ite_t((X0 = state!val!2), state!val!2, ite_t((X0 = state!val!3), state!val!3, state!val!0))) = state!val!1)) | ((ite_t((X1 = state!val!1), state!val!1, ite_t((X1 = state!val!2), state!val!2, ite_t((X1 = state!val!3), state!val!3, state!val!0))) = state!val!1) & (ite_t((X0 = state!val!1), state!val!1, ite_t((X0 = state!val!2), state!val!2, ite_t((X0 = state!val!3), state!val!3, state!val!0))) = state!val!0)) | ((ite_t((X1 = state!val!1), state!val!1, ite_t((X1 = state!val!2), state!val!2, ite_t((X1 = state!val!3), state!val!3, state!val!0))) = state!val!3) & (ite_t((X0 = state!val!1), state!val!1, ite_t((X0 = state!val!2), state!val!2, ite_t((X0 = state!val!3), state!val!3, state!val!0))) = state!val!3)) | ((ite_t((X1 = state!val!1), state!val!1, ite_t((X1 = state!val!2), state!val!2, ite_t((X1 = state!val!3), state!val!3, state!val!0))) = state!val!1) & (ite_t((X0 = state!val!1), state!val!1, ite_t((X0 = state!val!2), state!val!2, ite_t((X0 = state!val!3), state!val!3, state!val!0))) = state!val!3)) | ((ite_t((X1 = state!val!1), state!val!1, ite_t((X1 = state!val!2), state!val!2, ite_t((X1 = state!val!3), state!val!3, state!val!0))) = state!val!3) & (ite_t((X0 = state!val!1), state!val!1, ite_t((X0 = state!val!2), state!val!2, ite_t((X0 = state!val!3), state!val!3, state!val!0))) = state!val!0))))).
% 0.20/0.41  tff(formula11, axiom,
% 0.20/0.41      ![X0: label] : (goto(X0) = ite_t((ite_t((X0 = label!val!1), label!val!1, label!val!0) = label!val!0), statement!val!2, ite_t((ite_t((X0 = label!val!1), label!val!1, label!val!0) = label!val!1), statement!val!1, statement!val!4)))).
% 0.20/0.41  tff(formula12, axiom,
% 0.20/0.41      ![X0: state, X1: state] : (follows(X0, X1) <=> (((ite_t((X1 = state!val!1), state!val!1, ite_t((X1 = state!val!2), state!val!2, ite_t((X1 = state!val!3), state!val!3, state!val!0))) = state!val!2) & (ite_t((X0 = state!val!1), state!val!1, ite_t((X0 = state!val!2), state!val!2, ite_t((X0 = state!val!3), state!val!3, state!val!0))) = state!val!1)) | ((ite_t((X1 = state!val!1), state!val!1, ite_t((X1 = state!val!2), state!val!2, ite_t((X1 = state!val!3), state!val!3, state!val!0))) = state!val!3) & (ite_t((X0 = state!val!1), state!val!1, ite_t((X0 = state!val!2), state!val!2, ite_t((X0 = state!val!3), state!val!3, state!val!0))) = state!val!0))))).
% 0.20/0.41  tff(formula13, axiom,
% 0.20/0.41      ![X0: register, X1: number] : (equal_function(X0, X1) = boolean!val!0)).
% 0.20/0.41  tff(formula14, axiom,
% 0.20/0.41      ![X0: label, X1: state] : (labels(X0, X1) <=> ((ite_t((X1 = label!val!1), label!val!1, label!val!0) = label!val!0) & (ite_t((X0 = state!val!1), state!val!1, ite_t((X0 = state!val!2), state!val!2, ite_t((X0 = state!val!3), state!val!3, state!val!0))) = state!val!0)))).
% 0.20/0.41  tff(formula15, axiom,
% 0.20/0.41      ![X0: state, X1: statement] : (has(X0, X1) <=> (((ite_t((X1 = state!val!1), state!val!1, ite_t((X1 = state!val!2), state!val!2, ite_t((X1 = state!val!3), state!val!3, state!val!0))) = state!val!0) & (X0 = statement!val!0)) | ((ite_t((X1 = state!val!1), state!val!1, ite_t((X1 = state!val!2), state!val!2, ite_t((X1 = state!val!3), state!val!3, state!val!0))) = state!val!1) & (X0 = statement!val!1)) | ((ite_t((X1 = state!val!1), state!val!1, ite_t((X1 = state!val!2), state!val!2, ite_t((X1 = state!val!3), state!val!3, state!val!0))) = state!val!3) & (X0 = statement!val!2))))).
% 0.20/0.41  % SZS output end Model
%------------------------------------------------------------------------------