TSTP Solution File: GRA075+1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : GRA075+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n008.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 : Fri Sep 16 20:47:47 EDT 2022

% Result   : Satisfiable 0.15s 0.35s
% Output   : Model 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : GRA075+1 : TPTP v8.1.0. Released v6.4.0.
% 0.00/0.10  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.09/0.30  % Computer : n008.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Wed Aug 31 14:02:25 EDT 2022
% 0.09/0.30  % CPUTime  : 
% 0.09/0.30  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.09/0.30  Usage: tptp [options] [-file:]file
% 0.09/0.30    -h, -?       prints this message.
% 0.09/0.30    -smt2        print SMT-LIB2 benchmark.
% 0.09/0.30    -m, -model   generate model.
% 0.09/0.30    -p, -proof   generate proof.
% 0.09/0.30    -c, -core    generate unsat core of named formulas.
% 0.09/0.30    -st, -statistics display statistics.
% 0.09/0.30    -t:timeout   set timeout (in second).
% 0.09/0.30    -smt2status  display status in smt2 format instead of SZS.
% 0.09/0.30    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.09/0.30    -<param>:<value> configuration parameter and value.
% 0.09/0.30    -o:<output-file> file to place output in.
% 0.15/0.35  % SZS status Satisfiable
% 0.15/0.35  % SZS output start Model
% 0.15/0.35  tff(tptp_fun__i_val_0_type, type, (
% 0.15/0.35     tptp_fun__i_val_0: $i)).
% 0.15/0.35  tff(empty_type, type, (
% 0.15/0.35     empty: $i)).
% 0.15/0.35  tff(complete_type, type, (
% 0.15/0.35     complete: $o)).
% 0.15/0.35  tff(edge_type, type, (
% 0.15/0.35     edge: $i > $o)).
% 0.15/0.35  tff(precedes_type, type, (
% 0.15/0.35     precedes: ( $i * $i * $i ) > $o)).
% 0.15/0.35  tff(head_of_type, type, (
% 0.15/0.35     head_of: $i > $i)).
% 0.15/0.35  tff(vertex_type, type, (
% 0.15/0.35     vertex: $i > $o)).
% 0.15/0.35  tff(shortest_path_type, type, (
% 0.15/0.35     shortest_path: ( $i * $i * $i ) > $o)).
% 0.15/0.35  tff(on_path_type, type, (
% 0.15/0.35     on_path: ( $i * $i ) > $o)).
% 0.15/0.35  tff(tail_of_type, type, (
% 0.15/0.35     tail_of: $i > $i)).
% 0.15/0.35  tff(path_cons_type, type, (
% 0.15/0.35     path_cons: ( $i * $i ) > $i)).
% 0.15/0.35  tff(length_of_type, type, (
% 0.15/0.35     length_of: $i > $i)).
% 0.15/0.35  tff(sequential_type, type, (
% 0.15/0.35     sequential: ( $i * $i ) > $o)).
% 0.15/0.35  tff(path_type, type, (
% 0.15/0.35     path: ( $i * $i * $i ) > $o)).
% 0.15/0.35  tff(in_path_type, type, (
% 0.15/0.35     in_path: ( $i * $i ) > $o)).
% 0.15/0.35  tff(less_or_equal_type, type, (
% 0.15/0.35     less_or_equal: ( $i * $i ) > $o)).
% 0.15/0.35  tff(formula1, axiom,
% 0.15/0.35      empty = $i!val!0).
% 0.15/0.35  tff(formula2, axiom,
% 0.15/0.35      complete <=> $false).
% 0.15/0.35  tff(formula3, axiom,
% 0.15/0.35      ![X0: $i] : (edge(X0) <=> $false)).
% 0.15/0.35  tff(formula4, axiom,
% 0.15/0.35      ![X0: $i, X1: $i, X2: $i] : (precedes(X0, X1, X2) <=> $false)).
% 0.15/0.35  tff(formula5, axiom,
% 0.15/0.35      ![X0: $i] : (head_of(X0) = $i!val!0)).
% 0.15/0.35  tff(formula6, axiom,
% 0.15/0.35      ![X0: $i] : (vertex(X0) <=> $false)).
% 0.15/0.35  tff(formula7, axiom,
% 0.15/0.35      ![X0: $i, X1: $i, X2: $i] : (shortest_path(X0, X1, X2) <=> $false)).
% 0.15/0.35  tff(formula8, axiom,
% 0.15/0.35      ![X0: $i, X1: $i] : (on_path(X0, X1) <=> $false)).
% 0.15/0.35  tff(formula9, axiom,
% 0.15/0.35      ![X0: $i] : (tail_of(X0) = $i!val!0)).
% 0.15/0.35  tff(formula10, axiom,
% 0.15/0.35      ![X0: $i, X1: $i] : (path_cons(X0, X1) = $i!val!0)).
% 0.15/0.35  tff(formula11, axiom,
% 0.15/0.35      ![X0: $i] : (length_of(X0) = $i!val!0)).
% 0.15/0.35  tff(formula12, axiom,
% 0.15/0.35      ![X0: $i, X1: $i] : (sequential(X0, X1) <=> $false)).
% 0.15/0.35  tff(formula13, axiom,
% 0.15/0.35      ![X0: $i, X1: $i, X2: $i] : (path(X0, X1, X2) <=> $false)).
% 0.15/0.35  tff(formula14, axiom,
% 0.15/0.35      ![X0: $i, X1: $i] : (in_path(X0, X1) <=> $false)).
% 0.15/0.35  tff(formula15, axiom,
% 0.15/0.35      ![X0: $i, X1: $i] : (less_or_equal(X0, X1) <=> $false)).
% 0.15/0.35  % SZS output end Model
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